LMFDB - Embedded newform 91.2.ba.a.54.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [91,2,Mod(45,91)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(91, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([2, 5]))

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

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

chi := DirichletCharacter("91.45");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 91 = 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	91.ba (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:	$0.726638658394$
Analytic rank:	$0$
Dimension:	$28$
Relative dimension:	$7$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			54.1
Character	$\chi$	$=$	91.54
Dual form			91.2.ba.a.59.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.72056 + 1.72056i) q^{2} +(-1.70689 - 0.985473i) q^{3} -3.92067i q^{4} +(0.227080 - 0.0608458i) q^{5} +(4.63238 - 1.24124i) q^{6} +(1.27342 - 2.31914i) q^{7} +(3.30464 + 3.30464i) q^{8} +(0.442313 + 0.766108i) q^{9} +O(q^{10})$	\(q+(-1.72056 + 1.72056i) q^{2} +(-1.70689 - 0.985473i) q^{3} -3.92067i q^{4} +(0.227080 - 0.0608458i) q^{5} +(4.63238 - 1.24124i) q^{6} +(1.27342 - 2.31914i) q^{7} +(3.30464 + 3.30464i) q^{8} +(0.442313 + 0.766108i) q^{9} +(-0.286016 + 0.495394i) q^{10} +(2.76307 - 0.740362i) q^{11} +(-3.86372 + 6.69215i) q^{12} +(-2.03197 - 2.97844i) q^{13} +(1.79921 + 6.18122i) q^{14} +(-0.447562 - 0.119924i) q^{15} -3.53033 q^{16} -4.03177 q^{17} +(-2.07916 - 0.557110i) q^{18} +(1.42261 - 5.30924i) q^{19} +(-0.238557 - 0.890305i) q^{20} +(-4.45904 + 2.70358i) q^{21} +(-3.48019 + 6.02787i) q^{22} -6.05019i q^{23} +(-2.38402 - 8.89728i) q^{24} +(-4.28226 + 2.47237i) q^{25} +(8.62072 + 1.62847i) q^{26} +4.16929i q^{27} +(-9.09257 - 4.99268i) q^{28} +(3.54072 + 6.13271i) q^{29} +(0.976395 - 0.563722i) q^{30} +(0.595317 - 2.22176i) q^{31} +(-0.535124 + 0.535124i) q^{32} +(-5.44585 - 1.45921i) q^{33} +(6.93691 - 6.93691i) q^{34} +(0.148059 - 0.604111i) q^{35} +(3.00366 - 1.73416i) q^{36} +(7.34878 + 7.34878i) q^{37} +(6.68720 + 11.5826i) q^{38} +(0.533171 + 7.08632i) q^{39} +(0.951490 + 0.549343i) q^{40} +(-0.0713473 + 0.266272i) q^{41} +(3.02037 - 12.3237i) q^{42} +(3.91398 + 2.25974i) q^{43} +(-2.90272 - 10.8331i) q^{44} +(0.147055 + 0.147055i) q^{45} +(10.4097 + 10.4097i) q^{46} +(-0.842735 - 3.14513i) q^{47} +(6.02588 + 3.47904i) q^{48} +(-3.75679 - 5.90648i) q^{49} +(3.11404 - 11.6218i) q^{50} +(6.88178 + 3.97320i) q^{51} +(-11.6775 + 7.96668i) q^{52} +(-3.96785 - 6.87251i) q^{53} +(-7.17352 - 7.17352i) q^{54} +(0.582389 - 0.336242i) q^{55} +(11.8721 - 3.45570i) q^{56} +(-7.66035 + 7.66035i) q^{57} +(-16.6437 - 4.45968i) q^{58} +(-0.514009 + 0.514009i) q^{59} +(-0.470182 + 1.75474i) q^{60} +(1.97520 - 1.14038i) q^{61} +(2.79839 + 4.84695i) q^{62} +(2.33996 - 0.0502034i) q^{63} -8.90209i q^{64} +(-0.642644 - 0.552707i) q^{65} +(11.8806 - 6.85927i) q^{66} +(0.688941 + 2.57116i) q^{67} +15.8072i q^{68} +(-5.96230 + 10.3270i) q^{69} +(0.784667 + 1.29416i) q^{70} +(-0.362587 - 1.35319i) q^{71} +(-1.07003 + 3.99339i) q^{72} +(13.0894 + 3.50729i) q^{73} -25.2881 q^{74} +9.74580 q^{75} +(-20.8158 - 5.57758i) q^{76} +(1.80156 - 7.35072i) q^{77} +(-13.1098 - 11.2751i) q^{78} +(-1.91392 + 3.31501i) q^{79} +(-0.801666 + 0.214806i) q^{80} +(5.43566 - 9.41483i) q^{81} +(-0.335380 - 0.580895i) q^{82} +(4.19588 + 4.19588i) q^{83} +(10.5999 + 17.4824i) q^{84} +(-0.915533 + 0.245316i) q^{85} +(-10.6223 + 2.84623i) q^{86} -13.9571i q^{87} +(11.5776 + 6.68431i) q^{88} +(2.44076 - 2.44076i) q^{89} -0.506034 q^{90} +(-9.49496 + 0.919594i) q^{91} -23.7208 q^{92} +(-3.20562 + 3.20562i) q^{93} +(6.86137 + 3.96141i) q^{94} -1.29218i q^{95} +(1.44075 - 0.386047i) q^{96} +(2.61723 - 0.701285i) q^{97} +(16.6263 + 3.69869i) q^{98} +(1.78934 + 1.78934i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 28 q - 2 q^{2} - 6 q^{3} - 6 q^{5} - 12 q^{6} - 6 q^{7} - 4 q^{8} + 6 q^{9}+O(q^{10}) $ 28 * q - 2 * q^2 - 6 * q^3 - 6 * q^5 - 12 * q^6 - 6 * q^7 - 4 * q^8 + 6 * q^9	$ 28 q - 2 q^{2} - 6 q^{3} - 6 q^{5} - 12 q^{6} - 6 q^{7} - 4 q^{8} + 6 q^{9} - 6 q^{10} + 2 q^{11} - 8 q^{12} - 20 q^{14} + 10 q^{15} + 4 q^{16} - 12 q^{17} + 2 q^{18} + 14 q^{19} + 36 q^{20} - 6 q^{21} - 8 q^{22} - 18 q^{24} + 24 q^{26} + 2 q^{28} - 8 q^{29} - 30 q^{30} - 4 q^{31} + 10 q^{32} - 12 q^{33} - 12 q^{34} - 20 q^{35} + 54 q^{36} - 10 q^{37} - 20 q^{39} + 48 q^{40} - 18 q^{41} - 10 q^{42} + 48 q^{43} - 6 q^{44} - 6 q^{45} + 24 q^{46} - 6 q^{47} - 12 q^{48} - 50 q^{49} + 10 q^{50} - 12 q^{51} - 26 q^{52} + 12 q^{53} - 30 q^{54} + 6 q^{55} + 54 q^{56} + 12 q^{57} - 46 q^{58} + 42 q^{59} + 10 q^{60} + 30 q^{61} + 36 q^{62} + 54 q^{63} + 28 q^{65} + 66 q^{66} - 10 q^{67} - 42 q^{69} - 88 q^{70} - 42 q^{71} + 46 q^{72} + 40 q^{73} + 12 q^{74} - 40 q^{75} - 52 q^{76} - 62 q^{78} + 4 q^{79} + 30 q^{80} - 6 q^{81} - 54 q^{82} + 66 q^{83} + 104 q^{84} - 54 q^{85} - 18 q^{86} - 6 q^{88} + 72 q^{90} + 26 q^{91} - 156 q^{92} + 20 q^{93} - 18 q^{94} - 66 q^{96} - 62 q^{97} - 56 q^{98} - 36 q^{99}+O(q^{100}) $ 28 * q - 2 * q^2 - 6 * q^3 - 6 * q^5 - 12 * q^6 - 6 * q^7 - 4 * q^8 + 6 * q^9 - 6 * q^10 + 2 * q^11 - 8 * q^12 - 20 * q^14 + 10 * q^15 + 4 * q^16 - 12 * q^17 + 2 * q^18 + 14 * q^19 + 36 * q^20 - 6 * q^21 - 8 * q^22 - 18 * q^24 + 24 * q^26 + 2 * q^28 - 8 * q^29 - 30 * q^30 - 4 * q^31 + 10 * q^32 - 12 * q^33 - 12 * q^34 - 20 * q^35 + 54 * q^36 - 10 * q^37 - 20 * q^39 + 48 * q^40 - 18 * q^41 - 10 * q^42 + 48 * q^43 - 6 * q^44 - 6 * q^45 + 24 * q^46 - 6 * q^47 - 12 * q^48 - 50 * q^49 + 10 * q^50 - 12 * q^51 - 26 * q^52 + 12 * q^53 - 30 * q^54 + 6 * q^55 + 54 * q^56 + 12 * q^57 - 46 * q^58 + 42 * q^59 + 10 * q^60 + 30 * q^61 + 36 * q^62 + 54 * q^63 + 28 * q^65 + 66 * q^66 - 10 * q^67 - 42 * q^69 - 88 * q^70 - 42 * q^71 + 46 * q^72 + 40 * q^73 + 12 * q^74 - 40 * q^75 - 52 * q^76 - 62 * q^78 + 4 * q^79 + 30 * q^80 - 6 * q^81 - 54 * q^82 + 66 * q^83 + 104 * q^84 - 54 * q^85 - 18 * q^86 - 6 * q^88 + 72 * q^90 + 26 * q^91 - 156 * q^92 + 20 * q^93 - 18 * q^94 - 66 * q^96 - 62 * q^97 - 56 * q^98 - 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/91\mathbb{Z}\right)^\times$.

$n$	$15$	$66$
$\chi(n)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{5}{6}\right)$

Coefficient data

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

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

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

$2$	−1.72056	+	1.72056i	−1.21662	+	1.21662i	−0.247814	+	0.968808i	$0.579712\pi$
$2$	−1.72056	+	1.72056i	−1.21662	+	1.21662i	−0.968808	+	0.247814i	$0.920288\pi$
$3$	−1.70689	−	0.985473i	−0.985473	−	0.568963i	−0.0815547	−	0.996669i	$-0.525989\pi$
$3$	−1.70689	−	0.985473i	−0.985473	−	0.568963i	−0.903918	+	0.427706i	$0.859322\pi$
$4$		−	3.92067i		−	1.96034i
$5$	0.227080	−	0.0608458i	0.101553	−	0.0272111i	−0.207685	−	0.978196i	$-0.566593\pi$
$5$	0.227080	−	0.0608458i	0.101553	−	0.0272111i	0.309238	+	0.950985i	$0.399926\pi$
$6$	4.63238	−	1.24124i	1.89116	−	0.506735i
$7$	1.27342	−	2.31914i	0.481309	−	0.876551i
$7$	1.27342	−	2.31914i	0.481309	−	0.876551i
$8$	3.30464	+	3.30464i	1.16837	+	1.16837i
$9$	0.442313	+	0.766108i	0.147438	+	0.255369i
$10$	−0.286016	+	0.495394i	−0.0904462	+	0.156657i
$11$	2.76307	−	0.740362i	0.833096	−	0.223227i	0.183032	−	0.983107i	$-0.441409\pi$
$11$	2.76307	−	0.740362i	0.833096	−	0.223227i	0.650064	+	0.759880i	$0.274742\pi$
$12$	−3.86372	+	6.69215i	−1.11536	+	1.93186i
$13$	−2.03197	−	2.97844i	−0.563566	−	0.826071i
$13$	−2.03197	−	2.97844i	−0.563566	−	0.826071i
$14$	1.79921	+	6.18122i	0.480860	+	1.65200i
$15$	−0.447562	−	0.119924i	−0.115560	−	0.0309642i
$16$	−3.53033			−0.882582
$17$	−4.03177			−0.977847			−0.488924	−	0.872327i	$-0.662610\pi$
$17$	−4.03177			−0.977847			−0.488924	+	0.872327i	$0.662610\pi$
$18$	−2.07916	−	0.557110i	−0.490064	−	0.131312i
$19$	1.42261	−	5.30924i	0.326368	−	1.21802i	−0.586561	−	0.809905i	$-0.699518\pi$
$19$	1.42261	−	5.30924i	0.326368	−	1.21802i	0.912929	−	0.408118i	$-0.133815\pi$
$20$	−0.238557	−	0.890305i	−0.0533429	−	0.199078i
$21$	−4.45904	+	2.70358i	−0.973042	+	0.589970i
$22$	−3.48019	+	6.02787i	−0.741979	+	1.28515i
$23$		−	6.05019i		−	1.26155i	−0.775965	−	0.630776i	$-0.782737\pi$
$23$		−	6.05019i		−	1.26155i	0.775965	−	0.630776i	$-0.217263\pi$
$24$	−2.38402	−	8.89728i	−0.486636	−	1.81615i
$25$	−4.28226	+	2.47237i	−0.856453	+	0.494473i
$26$	8.62072	+	1.62847i	1.69066	+	0.319368i
$27$			4.16929i			0.802380i
$28$	−9.09257	−	4.99268i	−1.71833	−	0.943527i
$29$	3.54072	+	6.13271i	0.657495	+	1.13882i	0.981262	+	0.192679i	$0.0617175\pi$
$29$	3.54072	+	6.13271i	0.657495	+	1.13882i	−0.323766	+	0.946137i	$0.604949\pi$
$30$	0.976395	−	0.563722i	0.178264	−	0.102921i
$31$	0.595317	−	2.22176i	0.106922	−	0.399039i	−0.891634	−	0.452757i	$-0.850441\pi$
$31$	0.595317	−	2.22176i	0.106922	−	0.399039i	0.998556	+	0.0537180i	$0.0171072\pi$
$32$	−0.535124	+	0.535124i	−0.0945975	+	0.0945975i
$33$	−5.44585	−	1.45921i	−0.948002	−	0.254016i
$34$	6.93691	−	6.93691i	1.18967	−	1.18967i
$35$	0.148059	−	0.604111i	0.0250265	−	0.102113i
$36$	3.00366	−	1.73416i	0.500610	−	0.289027i
$37$	7.34878	+	7.34878i	1.20813	+	1.20813i	0.971632	+	0.236500i	$0.0760002\pi$
$37$	7.34878	+	7.34878i	1.20813	+	1.20813i	0.236500	+	0.971632i	$0.424000\pi$
$38$	6.68720	+	11.5826i	1.08481	+	1.87894i
$39$	0.533171	+	7.08632i	0.0853757	+	1.13472i
$40$	0.951490	+	0.549343i	0.150444	+	0.0868587i
$41$	−0.0713473	+	0.266272i	−0.0111426	+	0.0415847i	−0.971273	−	0.237967i	$-0.923519\pi$
$41$	−0.0713473	+	0.266272i	−0.0111426	+	0.0415847i	0.960131	+	0.279551i	$0.0901857\pi$
$42$	3.02037	−	12.3237i	0.466053	−	1.90159i
$43$	3.91398	+	2.25974i	0.596877	+	0.344607i	0.767812	−	0.640675i	$-0.221345\pi$
$43$	3.91398	+	2.25974i	0.596877	+	0.344607i	−0.170935	+	0.985282i	$0.554679\pi$
$44$	−2.90272	−	10.8331i	−0.437601	−	1.63315i
$45$	0.147055	+	0.147055i	0.0219216	+	0.0219216i
$46$	10.4097	+	10.4097i	1.53483	+	1.53483i
$47$	−0.842735	−	3.14513i	−0.122926	−	0.458764i	0.876832	−	0.480797i	$-0.159653\pi$
$47$	−0.842735	−	3.14513i	−0.122926	−	0.458764i	−0.999757	+	0.0220331i	$0.992986\pi$
$48$	6.02588	+	3.47904i	0.869760	+	0.502156i
$49$	−3.75679	−	5.90648i	−0.536684	−	0.843784i
$50$	3.11404	−	11.6218i	0.440392	−	1.64357i
$51$	6.88178	+	3.97320i	0.963642	+	0.556359i
$52$	−11.6775	+	7.96668i	−1.61938	+	1.10478i
$53$	−3.96785	−	6.87251i	−0.545026	−	0.944012i	−0.998605	−	0.0527963i	$-0.983187\pi$
$53$	−3.96785	−	6.87251i	−0.545026	−	0.944012i	0.453580	−	0.891216i	$-0.350147\pi$
$54$	−7.17352	−	7.17352i	−0.976193	−	0.976193i
$55$	0.582389	−	0.336242i	0.0785293	−	0.0453389i
$56$	11.8721	−	3.45570i	1.58648	−	0.461788i
$57$	−7.66035	+	7.66035i	−1.01464	+	1.01464i
$58$	−16.6437	−	4.45968i	−2.18543	−	0.585584i
$59$	−0.514009	+	0.514009i	−0.0669183	+	0.0669183i	−0.739774	−	0.672856i	$-0.765068\pi$
$59$	−0.514009	+	0.514009i	−0.0669183	+	0.0669183i	0.672856	+	0.739774i	$0.265068\pi$
$60$	−0.470182	+	1.75474i	−0.0607002	+	0.226536i
$61$	1.97520	−	1.14038i	0.252899	−	0.146011i	−0.368192	−	0.929750i	$-0.620023\pi$
$61$	1.97520	−	1.14038i	0.252899	−	0.146011i	0.621091	+	0.783739i	$0.286690\pi$
$62$	2.79839	+	4.84695i	0.355396	+	0.615563i
$63$	2.33996	−	0.0502034i	0.294807	−	0.00632503i
$64$		−	8.90209i		−	1.11276i
$65$	−0.642644	−	0.552707i	−0.0797102	−	0.0685548i
$66$	11.8806	−	6.85927i	1.46240	−	0.844318i
$67$	0.688941	+	2.57116i	0.0841676	+	0.314118i	0.995155	−	0.0983159i	$-0.0313456\pi$
$67$	0.688941	+	2.57116i	0.0841676	+	0.314118i	−0.910988	+	0.412434i	$0.864679\pi$
$68$			15.8072i			1.91691i
$69$	−5.96230	+	10.3270i	−0.717776	+	1.24323i
$70$	0.784667	+	1.29416i	0.0937856	+	0.154681i
$71$	−0.362587	−	1.35319i	−0.0430312	−	0.160595i	0.941067	−	0.338220i	$-0.109825\pi$
$71$	−0.362587	−	1.35319i	−0.0430312	−	0.160595i	−0.984098	+	0.177626i	$0.943158\pi$
$72$	−1.07003	+	3.99339i	−0.126104	+	0.470626i
$73$	13.0894	+	3.50729i	1.53200	+	0.410497i	0.923670	−	0.383190i	$-0.125174\pi$
$73$	13.0894	+	3.50729i	1.53200	+	0.410497i	0.608326	+	0.793687i	$0.291841\pi$
$74$	−25.2881			−2.93968
$75$	9.74580			1.12535
$76$	−20.8158	−	5.57758i	−2.38774	−	0.639792i
$77$	1.80156	−	7.35072i	0.205306	−	0.837693i
$78$	−13.1098	−	11.2751i	−1.48439	−	1.27665i
$79$	−1.91392	+	3.31501i	−0.215333	+	0.372967i	−0.953375	−	0.301787i	$-0.902417\pi$
$79$	−1.91392	+	3.31501i	−0.215333	+	0.372967i	0.738043	+	0.674754i	$0.235750\pi$
$80$	−0.801666	+	0.214806i	−0.0896290	+	0.0240160i
$81$	5.43566	−	9.41483i	0.603962	−	1.04609i
$82$	−0.335380	−	0.580895i	−0.0370365	−	0.0641491i
$83$	4.19588	+	4.19588i	0.460558	+	0.460558i	0.898838	−	0.438280i	$-0.144412\pi$
$83$	4.19588	+	4.19588i	0.460558	+	0.460558i	−0.438280	+	0.898838i	$0.644412\pi$
$84$	10.5999	+	17.4824i	1.15654	+	1.90749i
$85$	−0.915533	+	0.245316i	−0.0993035	+	0.0266083i
$86$	−10.6223	+	2.84623i	−1.14543	+	0.306917i
$87$		−	13.9571i		−	1.49636i
$88$	11.5776	+	6.68431i	1.23417	+	0.712550i
$89$	2.44076	−	2.44076i	0.258720	−	0.258720i	−0.565813	−	0.824533i	$-0.691438\pi$
$89$	2.44076	−	2.44076i	0.258720	−	0.258720i	0.824533	+	0.565813i	$0.191438\pi$
$90$	−0.506034			−0.0533407
$91$	−9.49496	+	0.919594i	−0.995343	+	0.0963996i
$92$	−23.7208			−2.47307
$93$	−3.20562	+	3.20562i	−0.332407	+	0.332407i
$94$	6.86137	+	3.96141i	0.707696	+	0.408589i
$95$		−	1.29218i		−	0.132575i
$96$	1.44075	−	0.386047i	0.147046	−	0.0394008i
$97$	2.61723	−	0.701285i	0.265739	−	0.0712047i	−0.123489	−	0.992346i	$-0.539408\pi$
$97$	2.61723	−	0.701285i	0.265739	−	0.0712047i	0.389228	+	0.921141i	$0.372742\pi$
$98$	16.6263	+	3.69869i	1.67951	+	0.373624i
$99$	1.78934	+	1.78934i	0.179835	+	0.179835i
$100$	9.69334	+	16.7894i	0.969334	+	1.67894i
$101$	−6.89116	+	11.9358i	−0.685697	+	1.18766i	0.287521	+	0.957774i	$0.407169\pi$
$101$	−6.89116	+	11.9358i	−0.685697	+	1.18766i	−0.973217	+	0.229887i	$0.926164\pi$
$102$	−18.6767	+	5.00440i	−1.84927	+	0.495509i
$103$	−4.01282	+	6.95040i	−0.395395	+	0.684843i	−0.993151	−	0.116834i	$-0.962725\pi$
$103$	−4.01282	+	6.95040i	−0.395395	+	0.684843i	0.597757	+	0.801677i	$0.296059\pi$
$104$	3.12775	−	16.5576i	0.306701	−	1.62360i
$105$	−0.848055	+	0.885243i	−0.0827617	+	0.0863909i
$106$	18.6515	+	4.99766i	1.81160	+	0.485415i
$107$	4.17877			0.403977			0.201988	−	0.979388i	$-0.435260\pi$
$107$	4.17877			0.403977			0.201988	+	0.979388i	$0.435260\pi$
$108$	16.3464			1.57293
$109$	13.6069	+	3.64596i	1.30331	+	0.349220i	0.842699	−	0.538385i	$-0.180965\pi$
$109$	13.6069	+	3.64596i	1.30331	+	0.349220i	0.460607	+	0.887604i	$0.347632\pi$
$110$	−0.423510	+	1.58056i	−0.0403801	+	0.150701i
$111$	−5.30152	−	19.7856i	−0.503198	−	1.87796i
$112$	−4.49560	+	8.18731i	−0.424795	+	0.773628i
$113$	2.30697	−	3.99579i	0.217022	−	0.375892i	−0.736874	−	0.676030i	$-0.763699\pi$
$113$	2.30697	−	3.99579i	0.217022	−	0.375892i	0.953896	+	0.300137i	$0.0970325\pi$
$114$		−	26.3602i		−	2.46886i
$115$	−0.368129	−	1.37388i	−0.0343282	−	0.128115i
$116$	24.0443	−	13.8820i	2.23246	−	1.28891i
$117$	1.38304	−	2.87411i	0.127862	−	0.265712i
$118$		−	1.76877i		−	0.162828i
$119$	−5.13415	+	9.35022i	−0.470647	+	0.857133i
$120$	−1.08272	−	1.87533i	−0.0988388	−	0.171194i
$121$	−2.43987	+	1.40866i	−0.221807	+	0.128060i
$122$	−1.43636	+	5.36056i	−0.130042	+	0.485322i
$123$	0.384185	−	0.384185i	0.0346408	−	0.0346408i
$124$	−8.71077	−	2.33404i	−0.782251	−	0.209603i
$125$	−1.65315	+	1.65315i	−0.147862	+	0.147862i
$126$	−3.93967	+	4.11243i	−0.350974	+	0.366364i
$127$	3.63943	−	2.10123i	0.322947	−	0.186454i	−0.329758	−	0.944065i	$-0.606967\pi$
$127$	3.63943	−	2.10123i	0.322947	−	0.186454i	0.652705	+	0.757612i	$0.273634\pi$
$128$	14.2463	+	14.2463i	1.25921	+	1.25921i
$129$	−4.45382	−	7.71425i	−0.392137	−	0.679202i
$130$	2.05668	−	0.154743i	0.180382	−	0.0135719i
$131$	−11.9149	−	6.87908i	−1.04101	−	0.601028i	−0.120891	−	0.992666i	$-0.538575\pi$
$131$	−11.9149	−	6.87908i	−1.04101	−	0.601028i	−0.920119	+	0.391638i	$0.871908\pi$
$132$	−5.72109	+	21.3514i	−0.497957	+	1.85840i
$133$	−10.5013	−	10.0601i	−0.910576	−	0.872324i
$134$	−5.60922	−	3.23848i	−0.484562	−	0.279762i
$135$	0.253684	+	0.946761i	0.0218336	+	0.0814842i
$136$	−13.3235	−	13.3235i	−1.14248	−	1.14248i
$137$	−9.75631	−	9.75631i	−0.833538	−	0.833538i	0.154461	−	0.987999i	$-0.450636\pi$
$137$	−9.75631	−	9.75631i	−0.833538	−	0.833538i	−0.987999	+	0.154461i	$0.950636\pi$
$138$	−7.50975	−	28.0268i	−0.639272	−	2.38580i
$139$	12.9252	+	7.46236i	1.09630	+	0.632949i	0.935247	−	0.353997i	$-0.115178\pi$
$139$	12.9252	+	7.46236i	1.09630	+	0.632949i	0.161053	+	0.986946i	$0.448511\pi$
$140$	−2.36852	−	0.580491i	−0.200177	−	0.0490604i
$141$	−1.66098	+	6.19888i	−0.139880	+	0.522040i
$142$	2.95211	+	1.70440i	0.247735	+	0.143030i
$143$	−7.81959	−	6.72524i	−0.653907	−	0.562393i
$144$	−1.56151	−	2.70461i	−0.130126	−	0.225384i
$145$	1.17718	+	1.17718i	0.0977592	+	0.0977592i
$146$	−28.5556	+	16.4866i	−2.36328	+	1.36444i
$147$	0.591735	+	13.7839i	0.0488055	+	1.13688i
$148$	28.8121	−	28.8121i	2.36834	−	2.36834i
$149$	10.2136	+	2.73674i	0.836735	+	0.224202i	0.651650	−	0.758520i	$-0.274077\pi$
$149$	10.2136	+	2.73674i	0.836735	+	0.224202i	0.185085	+	0.982723i	$0.440744\pi$
$150$	−16.7683	+	16.7683i	−1.36912	+	1.36912i
$151$	−1.16428	+	4.34514i	−0.0947476	+	0.353603i	−0.996981	−	0.0776451i	$-0.975260\pi$
$151$	−1.16428	+	4.34514i	−0.0947476	+	0.353603i	0.902233	+	0.431248i	$0.141927\pi$
$152$	22.2463	−	12.8439i	1.80442	−	1.04178i
$153$	−1.78330	−	3.08877i	−0.144171	−	0.249712i
$154$	9.54769	+	15.7471i	0.769375	+	1.26893i
$155$		−	0.540738i		−	0.0434331i
$156$	27.7831	−	2.09039i	2.22443	−	0.167365i
$157$	11.2646	−	6.50360i	0.899010	−	0.519044i	0.0221312	−	0.999755i	$-0.492955\pi$
$157$	11.2646	−	6.50360i	0.899010	−	0.519044i	0.876879	+	0.480711i	$0.159622\pi$
$158$	−2.41066	−	8.99670i	−0.191782	−	0.715739i
$159$			15.6408i			1.24040i
$160$	−0.0889558	+	0.154076i	−0.00703257	+	0.0121808i
$161$	−14.0312	−	7.70446i	−1.10581	−	0.607196i
$162$	6.84642	+	25.5512i	0.537906	+	2.00749i
$163$	4.24621	−	15.8471i	0.332589	−	1.24124i	−0.573870	−	0.818946i	$-0.694559\pi$
$163$	4.24621	−	15.8471i	0.332589	−	1.24124i	0.906459	−	0.422293i	$-0.138775\pi$
$164$	1.04396	+	0.279729i	0.0815199	+	0.0218432i
$165$	−1.32543			−0.103185
$166$	−14.4386			−1.12065
$167$	9.84852	+	2.63890i	0.762101	+	0.204204i	0.618879	−	0.785486i	$-0.287587\pi$
$167$	9.84852	+	2.63890i	0.762101	+	0.204204i	0.143222	+	0.989691i	$0.454254\pi$
$168$	−23.6699	−	5.80114i	−1.82617	−	0.447568i
$169$	−4.74221	+	12.1042i	−0.364786	+	0.931091i
$170$	1.15315	−	1.99731i	0.0884426	−	0.153187i
$171$	4.69669	−	1.25847i	0.359165	−	0.0962380i
$172$	8.85970	−	15.3455i	0.675546	−	1.17008i
$173$	7.48809	+	12.9698i	0.569309	+	0.986072i	0.996634	+	0.0819744i	$0.0261226\pi$
$173$	7.48809	+	12.9698i	0.569309	+	0.986072i	−0.427325	+	0.904098i	$0.640544\pi$
$174$	24.0141	+	24.0141i	1.82051	+	1.82051i
$175$	0.280619	+	13.0795i	0.0212128	+	0.988719i
$176$	−9.75453	+	2.61372i	−0.735276	+	0.197017i
$177$	1.38390	−	0.370814i	0.104020	−	0.0278721i
$178$			8.39897i			0.629529i
$179$	7.95325	+	4.59181i	0.594454	+	0.343208i	0.766857	−	0.641819i	$-0.221820\pi$
$179$	7.95325	+	4.59181i	0.594454	+	0.343208i	−0.172403	+	0.985027i	$0.555153\pi$
$180$	0.576554	−	0.576554i	0.0429738	−	0.0429738i
$181$	−12.8202			−0.952919			−0.476459	−	0.879197i	$-0.658080\pi$
$181$	−12.8202			−0.952919			−0.476459	+	0.879197i	$0.658080\pi$
$182$	14.7545	−	17.9189i	1.09367	−	1.32824i
$183$	−4.49527			−0.332300
$184$	19.9937	−	19.9937i	1.47395	−	1.47395i
$185$	2.11590	+	1.22162i	0.155564	+	0.0898150i
$186$		−	11.0309i		−	0.808828i
$187$	−11.1400	+	2.98497i	−0.814641	+	0.218282i
$188$	−12.3310	+	3.30409i	−0.899332	+	0.240975i
$189$	9.66915	+	5.30927i	0.703327	+	0.386192i
$190$	2.22328	+	2.22328i	0.161294	+	0.161294i
$191$	2.69581	+	4.66928i	0.195062	+	0.337857i	0.946921	−	0.321467i	$-0.104176\pi$
$191$	2.69581	+	4.66928i	0.195062	+	0.337857i	−0.751859	+	0.659324i	$0.770843\pi$
$192$	−8.77276	+	15.1949i	−0.633120	+	1.09660i
$193$	3.22754	−	0.864817i	0.232323	−	0.0622509i	−0.140779	−	0.990041i	$-0.544961\pi$
$193$	3.22754	−	0.864817i	0.232323	−	0.0622509i	0.373102	+	0.927790i	$0.378294\pi$
$194$	−3.29650	+	5.70971i	−0.236675	+	0.409933i
$195$	0.552245	+	1.57672i	0.0395471	+	0.112911i
$196$	−23.1574	+	14.7291i	−1.65410	+	1.05208i
$197$	3.67856	+	0.985668i	0.262087	+	0.0702259i	0.387470	−	0.921882i	$-0.373349\pi$
$197$	3.67856	+	0.985668i	0.262087	+	0.0702259i	−0.125383	+	0.992108i	$0.540016\pi$
$198$	−6.15733			−0.437583
$199$	−22.2669			−1.57846			−0.789229	−	0.614099i	$-0.789520\pi$
$199$	−22.2669			−1.57846			−0.789229	+	0.614099i	$0.789520\pi$
$200$	−22.3216	−	5.98106i	−1.57838	−	0.422925i
$201$	1.35787	−	5.06762i	0.0957765	−	0.357443i
$202$	−8.67969	−	32.3931i	−0.610701	−	2.27917i
$203$	18.7314	−	0.401879i	1.31469	−	0.0282064i
$204$	15.5776	−	26.9812i	1.09065	−	1.88906i
$205$			0.0648061i			0.00452626i
$206$	−5.05430	−	18.8629i	−0.352150	−	1.31424i
$207$	4.63510	−	2.67608i	0.322162	−	0.186000i
$208$	7.17351	+	10.5149i	0.497394	+	0.729075i
$209$		−	15.7230i		−	1.08759i
$210$	−0.0639836	−	2.98225i	−0.00441528	−	0.205795i
$211$	−7.76031	−	13.4412i	−0.534242	−	0.925334i	−0.999200	−	0.0400009i	$-0.987264\pi$
$211$	−7.76031	−	13.4412i	−0.534242	−	0.925334i	0.464958	−	0.885333i	$-0.346069\pi$
$212$	−26.9449	+	15.5566i	−1.85058	+	1.06843i
$213$	−0.714640	+	2.66707i	−0.0489663	+	0.182745i
$214$	−7.18983	+	7.18983i	−0.491487	+	0.491487i
$215$	1.02628	+	0.274992i	0.0699919	+	0.0187543i
$216$	−13.7780	+	13.7780i	−0.937473	+	0.937473i
$217$	−4.39446	−	4.20986i	−0.298315	−	0.285784i
$218$	−29.6846	+	17.1384i	−2.01050	+	1.16076i
$219$	−18.8858	−	18.8858i	−1.27618	−	1.27618i
$220$	−1.31830	−	2.28336i	−0.0888795	−	0.153944i
$221$	8.19242	+	12.0084i	0.551082	+	0.807771i
$222$	43.1639	+	24.9207i	2.89697	+	1.67257i
$223$	1.32002	−	4.92639i	0.0883952	−	0.329895i	−0.907540	−	0.419965i	$-0.862042\pi$
$223$	1.32002	−	4.92639i	0.0883952	−	0.329895i	0.995935	+	0.0900697i	$0.0287090\pi$
$224$	0.559586	+	1.92247i	0.0373889	+	0.128450i
$225$	−3.78820	−	2.18712i	−0.252547	−	0.145808i
$226$	2.90572	+	10.8443i	0.193286	+	0.721352i
$227$	−7.63959	−	7.63959i	−0.507057	−	0.507057i	0.406565	−	0.913622i	$-0.366727\pi$
$227$	−7.63959	−	7.63959i	−0.507057	−	0.507057i	−0.913622	+	0.406565i	$0.866727\pi$
$228$	30.0337	+	30.0337i	1.98903	+	1.98903i
$229$	3.42227	+	12.7721i	0.226150	+	0.844002i	0.981941	+	0.189189i	$0.0605860\pi$
$229$	3.42227	+	12.7721i	0.226150	+	0.844002i	−0.755791	+	0.654813i	$0.772747\pi$
$230$	2.99723	+	1.73045i	0.197631	+	0.114103i
$231$	−10.3190	+	10.7715i	−0.678940	+	0.708712i
$232$	−8.56558	+	31.9672i	−0.562358	+	2.09875i
$233$	−10.5909	−	6.11465i	−0.693832	−	0.400584i	0.111214	−	0.993796i	$-0.464526\pi$
$233$	−10.5909	−	6.11465i	−0.693832	−	0.400584i	−0.805046	+	0.593212i	$0.797859\pi$
$234$	2.56547	+	7.32470i	0.167710	+	0.478830i
$235$	−0.382736	−	0.662918i	−0.0249670	−	0.0432440i
$236$	2.01526	+	2.01526i	0.131182	+	0.131182i
$237$	6.53370	−	3.77223i	0.424409	−	0.245033i
$238$	−7.25401	−	24.9213i	−0.470208	−	1.61541i
$239$	4.36940	−	4.36940i	0.282633	−	0.282633i	−0.551525	−	0.834158i	$-0.685954\pi$
$239$	4.36940	−	4.36940i	0.282633	−	0.282633i	0.834158	+	0.551525i	$0.185954\pi$
$240$	1.58004	+	0.423370i	0.101991	+	0.0273284i
$241$	−8.64343	+	8.64343i	−0.556772	+	0.556772i	−0.928387	−	0.371615i	$-0.878804\pi$
$241$	−8.64343	+	8.64343i	−0.556772	+	0.556772i	0.371615	+	0.928387i	$0.378804\pi$
$242$	1.77427	−	6.62165i	0.114054	−	0.425656i
$243$	−7.72400	+	4.45945i	−0.495495	+	0.286074i
$244$	−4.47107	−	7.74412i	−0.286231	−	0.495767i
$245$	−1.21248	−	1.11266i	−0.0774622	−	0.0710851i
$246$			1.32203i			0.0842896i
$247$	−18.7040	+	6.55106i	−1.19010	+	0.416834i
$248$	9.30940	−	5.37479i	0.591148	−	0.341299i
$249$	−3.02698	−	11.2968i	−0.191827	−	0.715908i
$250$		−	5.68870i		−	0.359785i
$251$	13.4971	−	23.3777i	0.851929	−	1.47558i	−0.0275356	−	0.999621i	$-0.508766\pi$
$251$	13.4971	−	23.3777i	0.851929	−	1.47558i	0.879465	−	0.475964i	$-0.157901\pi$
$252$	−0.196831	−	9.17422i	−0.0123992	−	0.577922i
$253$	−4.47933	−	16.7171i	−0.281613	−	1.05099i
$254$	−2.64658	+	9.87716i	−0.166061	+	0.619748i
$255$	1.80447	+	0.483505i	0.113000	+	0.0302783i
$256$	−31.2193			−1.95121
$257$	19.2922			1.20341			0.601707	−	0.798717i	$-0.294487\pi$
$257$	19.2922			1.20341			0.601707	+	0.798717i	$0.294487\pi$
$258$	20.9359	+	5.60977i	1.30341	+	0.349249i
$259$	26.4009	−	7.68471i	1.64047	−	0.477505i
$260$	−2.16698	+	2.51960i	−0.134391	+	0.156259i
$261$	−3.13221	+	5.42515i	−0.193879	+	0.335808i
$262$	32.3362	−	8.66447i	1.99774	−	0.535293i
$263$	9.95932	−	17.2501i	0.614118	−	1.06368i	−0.376420	−	0.926449i	$-0.622845\pi$
$263$	9.95932	−	17.2501i	0.614118	−	1.06368i	0.990539	−	0.137235i	$-0.0438215\pi$
$264$	−13.1744	−	22.8187i	−0.810829	−	1.40440i
$265$	−1.31918	−	1.31918i	−0.0810367	−	0.0810367i
$266$	35.3772	−	0.759011i	2.16911	−	0.0465379i
$267$	−6.57142	+	1.76081i	−0.402164	+	0.107760i
$268$	10.0807	−	2.70111i	0.615776	−	0.164997i
$269$		−	26.2749i		−	1.60201i	−0.598657	−	0.801006i	$-0.704299\pi$
$269$		−	26.2749i		−	1.60201i	0.598657	−	0.801006i	$-0.295701\pi$
$270$	−2.06544	−	1.19248i	−0.125699	−	0.0725722i
$271$	3.79858	−	3.79858i	0.230747	−	0.230747i	−0.582257	−	0.813005i	$-0.697830\pi$
$271$	3.79858	−	3.79858i	0.230747	−	0.230747i	0.813005	+	0.582257i	$0.197830\pi$
$272$	14.2335			0.863031
$273$	17.1131	+	7.78738i	1.03573	+	0.471314i
$274$	33.5727			2.02820
$275$	−10.0017	+	10.0017i	−0.603127	+	0.603127i
$276$	40.4888	+	23.3762i	2.43714	+	1.40708i
$277$			6.51116i			0.391218i	0.980682	+	0.195609i	$0.0626683\pi$
$277$			6.51116i			0.391218i	−0.980682	+	0.195609i	$0.937332\pi$
$278$	−35.0780	+	9.39913i	−2.10384	+	0.563722i
$279$	1.96542	−	0.526633i	0.117667	−	0.0315287i
$280$	2.48565	−	1.50709i	0.148546	−	0.0900658i
$281$	−11.1540	−	11.1540i	−0.665390	−	0.665390i	0.291255	−	0.956645i	$-0.405927\pi$
$281$	−11.1540	−	11.1540i	−0.665390	−	0.665390i	−0.956645	+	0.291255i	$0.905927\pi$
$282$	−7.80773	−	13.5234i	−0.464944	−	0.805306i
$283$	1.18900	−	2.05940i	0.0706784	−	0.122419i	−0.828520	−	0.559959i	$-0.810817\pi$
$283$	1.18900	−	2.05940i	0.0706784	−	0.122419i	0.899199	+	0.437540i	$0.144150\pi$
$284$	−5.30543	+	1.42159i	−0.314819	+	0.0843556i
$285$	−1.27341	+	2.20561i	−0.0754303	+	0.130649i
$286$	25.0253	−	1.88289i	1.47978	−	0.111338i
$287$	0.526665	+	0.504541i	0.0310881	+	0.0297821i
$288$	−0.646655	−	0.173271i	−0.0381045	−	0.0102101i
$289$	−0.744846			−0.0438145
$290$	−4.05081			−0.237872
$291$	−5.15842	−	1.38219i	−0.302392	−	0.0810256i
$292$	13.7509	−	51.3192i	0.804712	−	3.00323i
$293$	8.69014	+	32.4321i	0.507684	+	1.89470i	0.442361	+	0.896837i	$0.354141\pi$
$293$	8.69014	+	32.4321i	0.507684	+	1.89470i	0.0653221	+	0.997864i	$0.479193\pi$
$294$	−24.7342	−	22.6980i	−1.44253	−	1.32377i
$295$	−0.0854457	+	0.147996i	−0.00497484	+	0.00861668i
$296$			48.5701i			2.82308i
$297$	3.08678	+	11.5200i	0.179113	+	0.668459i
$298$	−22.2820	+	12.8645i	−1.29076	+	0.745220i
$299$	−18.0201	+	12.2938i	−1.04213	+	0.710968i
$300$		−	38.2101i		−	2.20606i
$301$	10.2248	−	6.19946i	0.589348	−	0.357331i
$302$	−5.47288	−	9.47931i	−0.314929	−	0.545473i
$303$	23.5249	−	13.5821i	1.35147	−	0.780272i
$304$	−5.02227	+	18.7434i	−0.288047	+	1.07501i
$305$	0.379141	−	0.379141i	0.0217095	−	0.0217095i
$306$	8.38271	+	2.24614i	0.479208	+	0.128403i
$307$	−19.1548	+	19.1548i	−1.09322	+	1.09322i	−0.0980380	+	0.995183i	$0.531257\pi$
$307$	−19.1548	+	19.1548i	−1.09322	+	1.09322i	−0.995183	+	0.0980380i	$0.968743\pi$
$308$	−28.8198	−	7.06331i	−1.64216	−	0.402469i
$309$	13.6989	−	7.90904i	0.779301	−	0.449930i
$310$	0.930374	+	0.930374i	0.0528417	+	0.0528417i
$311$	16.5705	+	28.7009i	0.939627	+	1.62748i	0.766168	+	0.642640i	$0.222161\pi$
$311$	16.5705	+	28.7009i	0.939627	+	1.62748i	0.173458	+	0.984841i	$0.444506\pi$
$312$	−21.6558	+	25.1796i	−1.22602	+	1.42552i
$313$	−1.14049	−	0.658460i	−0.0644641	−	0.0372183i	0.467422	−	0.884035i	$-0.345183\pi$
$313$	−1.14049	−	0.658460i	−0.0644641	−	0.0372183i	−0.531886	+	0.846816i	$0.678516\pi$
$314$	−8.19154	+	30.5712i	−0.462275	+	1.72523i
$315$	0.528303	−	0.153777i	0.0297665	−	0.00866436i
$316$	12.9971	+	7.50385i	0.731142	+	0.422125i
$317$	2.24279	+	8.37022i	0.125968	+	0.470118i	0.999872	−	0.0159793i	$-0.00508657\pi$
$317$	2.24279	+	8.37022i	0.125968	+	0.470118i	−0.873904	+	0.486098i	$0.838420\pi$
$318$	−26.9110	−	26.9110i	−1.50909	−	1.50909i
$319$	14.3237	+	14.3237i	0.801972	+	0.801972i
$320$	−0.541655	−	2.02148i	−0.0302794	−	0.113004i
$321$	−7.13269	−	4.11806i	−0.398108	−	0.229848i
$322$	37.3976	−	10.8856i	2.08409	−	0.606630i
$323$	−5.73562	+	21.4056i	−0.319139	+	1.19104i
$324$	−36.9125	−	21.3114i	−2.05069	−	1.18397i
$325$	16.0652	+	7.73070i	0.891138	+	0.428822i
$326$	19.9600	+	34.5718i	1.10548	+	1.91475i
$327$	−19.6325	−	19.6325i	−1.08568	−	1.08568i
$328$	−1.11571	+	0.644155i	−0.0616047	+	0.0355675i
$329$	−8.36714	−	2.05067i	−0.461296	−	0.113057i
$330$	2.28049	−	2.28049i	0.125537	−	0.125537i
$331$	−22.5870	−	6.05217i	−1.24149	−	0.332657i	−0.422449	−	0.906387i	$-0.638829\pi$
$331$	−22.5870	−	6.05217i	−1.24149	−	0.332657i	−0.819045	+	0.573729i	$0.805496\pi$
$332$	16.4507	−	16.4507i	0.902848	−	0.902848i
$333$	−2.37950	+	8.88041i	−0.130396	+	0.486644i
$334$	−21.4854	+	12.4046i	−1.17563	+	0.678749i
$335$	0.312889	+	0.541940i	0.0170950	+	0.0296094i
$336$	15.7419	−	9.54454i	0.858789	−	0.520697i
$337$		−	5.08165i		−	0.276815i	−0.990375	−	0.138407i	$-0.955802\pi$
$337$		−	5.08165i		−	0.276815i	0.990375	−	0.138407i	$-0.0441984\pi$
$338$	−12.6667	−	28.9853i	−0.688980	−	1.57659i
$339$	−7.87549	+	4.54691i	−0.427738	+	0.246955i
$340$	0.961805	+	3.58951i	0.0521612	+	0.194668i
$341$		−	6.57961i		−	0.356306i
$342$	−5.91567	+	10.2462i	−0.319883	+	0.554053i
$343$	−18.4819	+	1.19104i	−0.997930	+	0.0643101i
$344$	5.46668	+	20.4019i	0.294744	+	1.10000i
$345$	−0.725562	+	2.70783i	−0.0390630	+	0.145785i
$346$	−35.1990	−	9.43155i	−1.89231	−	0.507043i
$347$	0.683981			0.0367180			0.0183590	−	0.999831i	$-0.494156\pi$
$347$	0.683981			0.0367180			0.0183590	+	0.999831i	$0.494156\pi$
$348$	−54.7214			−2.93337
$349$	5.07510	+	1.35987i	0.271664	+	0.0727921i	0.392079	−	0.919932i	$-0.371756\pi$
$349$	5.07510	+	1.35987i	0.271664	+	0.0727921i	−0.120415	+	0.992724i	$0.538423\pi$
$350$	−22.9870	−	22.0213i	−1.22870	−	1.17709i
$351$	12.4180	−	8.47186i	0.662822	−	0.452194i
$352$	−1.08240	+	1.87477i	−0.0576920	+	0.0999256i
$353$	20.9733	−	5.61978i	1.11630	−	0.299111i	0.346913	−	0.937897i	$-0.387230\pi$
$353$	20.9733	−	5.61978i	1.11630	−	0.299111i	0.769384	+	0.638787i	$0.220563\pi$
$354$	−1.74307	+	3.01909i	−0.0926434	+	0.160463i
$355$	−0.164672	−	0.285221i	−0.00873991	−	0.0151380i
$356$	−9.56943	−	9.56943i	−0.507179	−	0.507179i
$357$	17.9778	−	10.9002i	0.951486	−	0.576901i
$358$	−21.5846	+	5.78356i	−1.14078	+	0.305671i
$359$	13.7143	−	3.67473i	0.723812	−	0.193945i	0.121940	−	0.992537i	$-0.461088\pi$
$359$	13.7143	−	3.67473i	0.723812	−	0.193945i	0.601872	+	0.798593i	$0.294422\pi$
$360$			0.971926i			0.0512250i
$361$	−9.70976	−	5.60593i	−0.511040	−	0.295049i
$362$	22.0580	−	22.0580i	1.15934	−	1.15934i
$363$	5.55279			0.291446
$364$	3.60543	+	37.2266i	0.188976	+	1.95121i
$365$	3.18574			0.166749
$366$	7.73439	−	7.73439i	0.404283	−	0.404283i
$367$	2.60256	+	1.50259i	0.135853	+	0.0784346i	0.566386	−	0.824140i	$-0.308341\pi$
$367$	2.60256	+	1.50259i	0.135853	+	0.0784346i	−0.430533	+	0.902575i	$0.641674\pi$
$368$			21.3592i			1.11342i
$369$	−0.235551	+	0.0631157i	−0.0122623	+	0.00328567i
$370$	−5.74241	+	1.53867i	−0.298534	+	0.0799918i
$371$	−20.9910	+	0.450359i	−1.08980	+	0.0233815i
$372$	12.5682	+	12.5682i	0.651630	+	0.651630i
$373$	13.0925	+	22.6769i	0.677906	+	1.17417i	0.975610	+	0.219509i	$0.0704456\pi$
$373$	13.0925	+	22.6769i	0.677906	+	1.17417i	−0.297705	+	0.954658i	$0.596221\pi$
$374$	14.0313	−	24.3030i	0.725543	−	1.25668i
$375$	4.45088	−	1.19261i	0.229843	−	0.0615861i
$376$	7.60858	−	13.1784i	0.392383	−	0.679627i
$377$	11.0713	−	23.0073i	0.570200	−	1.18494i
$378$	−25.7713	+	7.50144i	−1.32553	+	0.385833i
$379$	−5.54850	−	1.48672i	−0.285007	−	0.0763675i	0.113483	−	0.993540i	$-0.463799\pi$
$379$	−5.54850	−	1.48672i	−0.285007	−	0.0763675i	−0.398491	+	0.917172i	$0.630466\pi$
$380$	−5.06622			−0.259892
$381$	−8.28280			−0.424341
$382$	−12.6721	−	3.39548i	−0.648361	−	0.173728i
$383$	−4.20381	+	15.6888i	−0.214804	+	0.801661i	0.771431	+	0.636313i	$0.219541\pi$
$383$	−4.20381	+	15.6888i	−0.214804	+	0.801661i	−0.986235	+	0.165348i	$0.947125\pi$
$384$	−10.2775	−	38.3563i	−0.524474	−	1.95736i
$385$	−0.0381642	−	1.77882i	−0.00194503	−	0.0906569i
$386$	−4.06521	+	7.04116i	−0.206914	+	0.358385i
$387$			3.99805i			0.203232i
$388$	−2.74951	−	10.2613i	−0.139585	−	0.520939i
$389$	−8.04726	+	4.64609i	−0.408012	+	0.235566i	−0.689935	−	0.723871i	$-0.742361\pi$
$389$	−8.04726	+	4.64609i	−0.408012	+	0.235566i	0.281923	+	0.959437i	$0.409028\pi$
$390$	−3.66301	−	1.76267i	−0.185484	−	0.0892562i
$391$			24.3930i			1.23361i
$392$	7.10398	−	31.9336i	0.358805	−	1.61289i
$393$	13.5583	+	23.4836i	0.683925	+	1.18459i
$394$	−8.02510	+	4.63330i	−0.404299	+	0.233422i
$395$	−0.232908	+	0.869225i	−0.0117189	+	0.0437355i
$396$	7.01540	−	7.01540i	0.352537	−	0.352537i
$397$	18.2054	+	4.87812i	0.913703	+	0.244826i	0.684892	−	0.728645i	$-0.259849\pi$
$397$	18.2054	+	4.87812i	0.913703	+	0.244826i	0.228811	+	0.973471i	$0.426516\pi$
$398$	38.3116	−	38.3116i	1.92039	−	1.92039i
$399$	8.01052	+	27.5202i	0.401028	+	1.37774i
$400$	15.1178	−	8.72826i	0.755890	−	0.436413i
$401$	−26.4901	−	26.4901i	−1.32285	−	1.32285i	−0.911458	−	0.411393i	$-0.865042\pi$
$401$	−26.4901	−	26.4901i	−1.32285	−	1.32285i	−0.411393	−	0.911458i	$-0.634958\pi$
$402$	6.38287	+	11.0555i	0.318349	+	0.551396i
$403$	−7.82703	+	2.74142i	−0.389892	+	0.136560i
$404$	46.7965	+	27.0180i	2.32822	+	1.34420i
$405$	0.661474	−	2.46866i	0.0328689	−	0.122668i
$406$	−31.5371	+	32.9201i	−1.56516	+	1.63379i
$407$	25.7459	+	14.8644i	1.27618	+	0.736801i
$408$	9.61181	+	35.8718i	0.475856	+	1.77592i
$409$	14.4159	+	14.4159i	0.712820	+	0.712820i	0.967124	−	0.254304i	$-0.0818464\pi$
$409$	14.4159	+	14.4159i	0.712820	+	0.712820i	−0.254304	+	0.967124i	$0.581846\pi$
$410$	−0.111503	−	0.111503i	−0.00550674	−	0.00550674i
$411$	7.03836	+	26.2675i	0.347177	+	1.29568i
$412$	27.2502	+	15.7329i	1.34252	+	0.775106i
$413$	0.537506	+	1.84661i	0.0264489	+	0.0908657i
$414$	−3.37062	+	12.5793i	−0.165657	+	0.618241i
$415$	1.20810	+	0.697498i	0.0593034	+	0.0342388i
$416$	2.68119	+	0.506481i	0.131456	+	0.0248323i
$417$	−14.7079	−	25.4748i	−0.720249	−	1.24751i
$418$	27.0525	+	27.0525i	1.32318	+	1.32318i
$419$	−9.48347	+	5.47529i	−0.463298	+	0.267485i	−0.713430	−	0.700727i	$-0.752859\pi$
$419$	−9.48347	+	5.47529i	−0.463298	+	0.267485i	0.250132	+	0.968212i	$0.419526\pi$
$420$	3.47075	+	3.32495i	0.169355	+	0.162241i
$421$	−7.99908	+	7.99908i	−0.389852	+	0.389852i	−0.874634	−	0.484783i	$-0.838899\pi$
$421$	−7.99908	+	7.99908i	−0.389852	+	0.389852i	0.484783	+	0.874634i	$0.338899\pi$
$422$	36.4786	+	9.77441i	1.77575	+	0.475811i
$423$	2.03676	−	2.03676i	0.0990305	−	0.0990305i
$424$	9.59886	−	35.8235i	0.466162	−	1.73974i
$425$	17.2651	−	9.96801i	0.837480	−	0.483519i
$426$	−3.35928	−	5.81845i	−0.162758	−	0.281905i
$427$	−0.129436	−	6.03295i	−0.00626384	−	0.291955i
$428$		−	16.3836i		−	0.791930i
$429$	6.71962	+	19.1852i	0.324426	+	0.926271i
$430$	−2.23892	+	1.29264i	−0.107970	+	0.0623368i
$431$	−4.52862	−	16.9010i	−0.218136	−	0.814095i	−0.985039	−	0.172332i	$-0.944870\pi$
$431$	−4.52862	−	16.9010i	−0.218136	−	0.814095i	0.766903	−	0.641763i	$-0.221797\pi$
$432$		−	14.7190i		−	0.708166i
$433$	−3.05668	+	5.29433i	−0.146895	+	0.254429i	−0.930078	−	0.367361i	$-0.880261\pi$
$433$	−3.05668	+	5.29433i	−0.146895	+	0.254429i	0.783183	+	0.621791i	$0.213595\pi$
$434$	14.8043	−	0.317623i	0.710628	−	0.0152464i
$435$	−0.849234	−	3.16938i	−0.0407176	−	0.151960i
$436$	14.2946	−	53.3482i	0.684588	−	2.55492i
$437$	−32.1219	−	8.60704i	−1.53660	−	0.411731i
$438$	64.9883			3.10526
$439$	−15.7233			−0.750434			−0.375217	−	0.926937i	$-0.622432\pi$
$439$	−15.7233			−0.750434			−0.375217	+	0.926937i	$0.622432\pi$
$440$	3.03574	+	0.813425i	0.144723	+	0.0387785i
$441$	2.86333	−	5.49062i	0.136349	−	0.261458i
$442$	−34.7568	−	6.56560i	−1.65321	−	0.312294i
$443$	5.63934	−	9.76763i	0.267933	−	0.464074i	−0.700395	−	0.713756i	$-0.746993\pi$
$443$	5.63934	−	9.76763i	0.267933	−	0.464074i	0.968328	+	0.249682i	$0.0803260\pi$
$444$	−77.5727	+	20.7855i	−3.68144	+	0.986438i
$445$	0.405738	−	0.702758i	0.0192338	−	0.0333139i
$446$	6.20498	+	10.7473i	0.293814	+	0.508901i
$447$	−14.7366	−	14.7366i	−0.697016	−	0.697016i
$448$	−20.6451	−	11.3361i	−0.975392	−	0.535582i
$449$	4.69271	−	1.25741i	0.221463	−	0.0593407i	−0.146381	−	0.989228i	$-0.546763\pi$
$449$	4.69271	−	1.25741i	0.221463	−	0.0593407i	0.367844	+	0.929888i	$0.380096\pi$
$450$	10.2809	−	2.75476i	0.484647	−	0.129861i
$451$			0.788550i			0.0371313i
$452$	−15.6662	−	9.04488i	−0.736876	−	0.425435i
$453$	6.26931	−	6.26931i	0.294558	−	0.294558i
$454$	26.2888			1.23379
$455$	−2.10016	+	0.786550i	−0.0984571	+	0.0368740i
$456$	−50.6293			−2.37094
$457$	−6.30355	+	6.30355i	−0.294868	+	0.294868i	−0.839000	−	0.544132i	$-0.816859\pi$
$457$	−6.30355	+	6.30355i	−0.294868	+	0.294868i	0.544132	+	0.839000i	$0.316859\pi$
$458$	−27.8634	−	16.0869i	−1.30197	−	0.751693i
$459$		−	16.8096i		−	0.784605i
$460$	−5.38652	+	1.44331i	−0.251148	+	0.0672948i
$461$	−11.4373	+	3.06461i	−0.532688	+	0.142733i	−0.515129	−	0.857113i	$-0.672256\pi$
$461$	−11.4373	+	3.06461i	−0.532688	+	0.142733i	−0.0175587	+	0.999846i	$0.505589\pi$
$462$	−0.778541	−	36.2875i	−0.0362210	−	1.68825i
$463$	−19.6291	−	19.6291i	−0.912240	−	0.912240i	0.0842083	−	0.996448i	$-0.473164\pi$
$463$	−19.6291	−	19.6291i	−0.912240	−	0.912240i	−0.996448	+	0.0842083i	$0.973164\pi$
$464$	−12.4999	−	21.6505i	−0.580294	−	1.00510i
$465$	−0.532883	+	0.922980i	−0.0247118	+	0.0428022i
$466$	28.7429	−	7.70164i	1.33149	−	0.356772i
$467$	−12.2870	+	21.2818i	−0.568576	+	0.984803i	0.428131	+	0.903717i	$0.359172\pi$
$467$	−12.2870	+	21.2818i	−0.568576	+	0.984803i	−0.996707	+	0.0810863i	$0.974161\pi$
$468$	−11.2684	−	5.42246i	−0.520884	−	0.250653i
$469$	6.84019	+	1.67643i	0.315851	+	0.0774104i
$470$	1.79911	+	0.482071i	0.0829870	+	0.0222363i
$471$	−25.6365			−1.18127
$472$	−3.39723			−0.156370
$473$	12.4876	+	3.34605i	0.574182	+	0.153852i
$474$	−4.75127	+	17.7320i	−0.218233	+	0.814458i
$475$	7.03441	+	26.2528i	0.322761	+	1.20456i
$476$	36.6591	+	20.1293i	1.68027	+	0.922626i
$477$	3.51006	−	6.07960i	0.160715	−	0.278366i
$478$			15.0357i			0.687715i
$479$	5.47147	+	20.4198i	0.249998	+	0.933004i	0.970805	+	0.239869i	$0.0771045\pi$
$479$	5.47147	+	20.4198i	0.249998	+	0.933004i	−0.720808	+	0.693135i	$0.756229\pi$
$480$	0.303675	−	0.175327i	0.0138608	−	0.00800255i
$481$	6.95542	−	36.8204i	0.317140	−	1.67886i
$482$		−	29.7431i		−	1.35476i
$483$	16.3572	+	26.9780i	0.744278	+	1.22754i
$484$	5.52290	+	9.56595i	0.251041	+	0.434816i
$485$	0.551650	−	0.318495i	0.0250491	−	0.0144621i
$486$	5.61686	−	20.9624i	0.254786	−	0.950873i
$487$	−10.9256	+	10.9256i	−0.495085	+	0.495085i	−0.909904	−	0.414819i	$-0.863845\pi$
$487$	−10.9256	+	10.9256i	−0.495085	+	0.495085i	0.414819	+	0.909904i	$0.363845\pi$
$488$	10.2959	+	2.75877i	0.466073	+	0.124884i
$489$	−22.8647	+	22.8647i	−1.03398	+	1.03398i
$490$	4.00054	−	0.171741i	0.180726	−	0.00775845i
$491$	19.0691	−	11.0096i	0.860578	−	0.496855i	−0.00362809	−	0.999993i	$-0.501155\pi$
$491$	19.0691	−	11.0096i	0.860578	−	0.496855i	0.864206	+	0.503139i	$0.167822\pi$
$492$	−1.50627	−	1.50627i	−0.0679077	−	0.0679077i
$493$	−14.2754	−	24.7257i	−0.642930	−	1.11359i
$494$	20.9098	−	43.4528i	0.940777	−	1.95504i
$495$	0.515196	+	0.297449i	0.0231563	+	0.0133693i
$496$	−2.10167	+	7.84352i	−0.0943676	+	0.352185i
$497$	−3.59997	−	0.882300i	−0.161481	−	0.0395766i
$498$	24.6450	+	14.2288i	1.10437	+	0.637608i
$499$	−7.46375	−	27.8551i	−0.334123	−	1.24697i	−0.904816	−	0.425802i	$-0.859992\pi$
$499$	−7.46375	−	27.8551i	−0.334123	−	1.24697i	0.570693	−	0.821164i	$-0.306675\pi$
$500$	6.48147	+	6.48147i	0.289860	+	0.289860i
$501$	−14.2098	−	14.2098i	−0.634845	−	0.634845i
$502$	17.0001	+	63.4453i	0.758753	+	2.83170i
$503$	7.32350	+	4.22823i	0.326539	+	0.188527i	0.654303	−	0.756232i	$-0.272962\pi$
$503$	7.32350	+	4.22823i	0.326539	+	0.188527i	−0.327764	+	0.944759i	$0.606295\pi$
$504$	7.89863	+	7.56682i	0.351833	+	0.337053i
$505$	−0.838597	+	3.12969i	−0.0373171	+	0.139269i
$506$	36.4698	+	21.0558i	1.62128	+	0.936046i
$507$	20.0228	−	15.9872i	0.889243	−	0.710016i
$508$	−8.23822	−	14.2690i	−0.365512	−	0.633085i
$509$	−14.3892	−	14.3892i	−0.637789	−	0.637789i	0.312221	−	0.950010i	$-0.398927\pi$
$509$	−14.3892	−	14.3892i	−0.637789	−	0.637789i	−0.950010	+	0.312221i	$0.898927\pi$
$510$	−3.93660	+	2.27280i	−0.174315	+	0.100641i
$511$	24.8022	−	25.8898i	1.09718	−	1.14530i
$512$	25.2221	−	25.2221i	1.11467	−	1.11467i
$513$	22.1358	+	5.93126i	0.977317	+	0.261871i
$514$	−33.1934	+	33.1934i	−1.46410	+	1.46410i
$515$	−0.488326	+	1.82246i	−0.0215182	+	0.0803071i
$516$	−30.2450	+	17.4620i	−1.33146	+	0.768721i
$517$	−4.65707	−	8.06628i	−0.204818	−	0.354754i
$518$	−32.2024	+	58.6465i	−1.41489	+	2.57678i
$519$		−	29.5172i		−	1.29566i
$520$	−0.297211	−	3.95020i	−0.0130336	−	0.173228i
$521$	−15.2229	+	8.78895i	−0.666928	+	0.385051i	−0.794911	−	0.606725i	$-0.792483\pi$
$521$	−15.2229	+	8.78895i	−0.666928	+	0.385051i	0.127984	+	0.991776i	$0.459149\pi$
$522$	−3.94515	−	14.7235i	−0.172674	−	0.644429i
$523$		−	28.3430i		−	1.23935i	−0.784857	−	0.619677i	$-0.787264\pi$
$523$		−	28.3430i		−	1.23935i	0.784857	−	0.619677i	$-0.212736\pi$
$524$	−26.9706	+	46.7145i	−1.17822	+	2.04073i
$525$	12.4105	−	22.6018i	0.541640	−	0.986425i
$526$	12.5442	+	46.8154i	0.546951	+	2.04125i
$527$	−2.40018	+	8.95760i	−0.104554	+	0.390199i
$528$	19.2257	+	5.15150i	0.836689	+	0.224190i
$529$	−13.6048			−0.591514
$530$	4.53947			0.197182
$531$	−0.621139	−	0.166434i	−0.0269552	−	0.00722261i
$532$	−39.4425	+	41.1721i	−1.71005	+	1.78504i
$533$	0.938050	−	0.328552i	0.0406315	−	0.0142312i
$534$	8.27696	−	14.3361i	0.358179	−	0.620384i
$535$	0.948914	−	0.254261i	0.0410251	−	0.0109926i
$536$	−6.22006	+	10.7735i	−0.268666	+	0.465343i
$537$	−9.05021	−	15.6754i	−0.390545	−	0.676444i
$538$	45.2077	+	45.2077i	1.94904	+	1.94904i
$539$	−14.7532	−	13.5386i	−0.635465	−	0.583150i
$540$	3.71194	−	0.994611i	0.159736	−	0.0428012i
$541$	12.8053	−	3.43118i	0.550545	−	0.147518i	0.0271858	−	0.999630i	$-0.491345\pi$
$541$	12.8053	−	3.43118i	0.550545	−	0.147518i	0.523359	+	0.852112i	$0.324679\pi$
$542$			13.0714i			0.561464i
$543$	21.8827	+	12.6340i	0.939075	+	0.542175i
$544$	2.15750	−	2.15750i	0.0925019	−	0.0925019i
$545$	3.31170			0.141857
$546$	−42.8428	+	16.0454i	−1.83350	+	0.686682i
$547$	−28.5769			−1.22186			−0.610930	−	0.791685i	$-0.709204\pi$
$547$	−28.5769			−1.22186			−0.610930	+	0.791685i	$0.709204\pi$
$548$	−38.2513	+	38.2513i	−1.63401	+	1.63401i
$549$	1.74731	+	1.00881i	0.0745736	+	0.0430551i
$550$		−	34.4172i		−	1.46756i
$551$	37.5971	−	10.0741i	1.60169	−	0.429172i
$552$	−53.8302	+	14.4238i	−2.29117	+	0.613916i
$553$	5.25072	+	8.66005i	0.223283	+	0.368263i
$554$	−11.2029	−	11.2029i	−0.475964	−	0.475964i
$555$	−2.40774	−	4.17032i	−0.102203	−	0.177020i
$556$	29.2575	−	50.6754i	1.24079	−	2.14912i
$557$	−42.3739	+	11.3540i	−1.79544	+	0.481086i	−0.993251	−	0.115987i	$-0.962997\pi$
$557$	−42.3739	+	11.3540i	−1.79544	+	0.481086i	−0.802187	+	0.597073i	$0.796330\pi$
$558$	−2.47553	+	4.28774i	−0.104797	+	0.181514i
$559$	−1.22259	−	16.2493i	−0.0517100	−	0.687272i
$560$	−0.522697	+	2.13271i	−0.0220880	+	0.0901235i
$561$	21.9564	+	5.88321i	0.927001	+	0.248389i
$562$	38.3822			1.61906
$563$	−6.62349			−0.279147			−0.139573	−	0.990212i	$-0.544573\pi$
$563$	−6.62349			−0.279147			−0.139573	+	0.990212i	$0.544573\pi$
$564$	24.3038	+	6.51218i	1.02337	+	0.274212i
$565$	0.280739	−	1.04773i	0.0118108	−	0.0440785i
$566$	1.49759	+	5.58907i	0.0629482	+	0.234926i
$567$	−14.9124	−	24.5951i	−0.626262	−	1.03290i
$568$	3.27360	−	5.67003i	0.137357	−	0.237909i
$569$			0.438350i			0.0183766i	0.999958	+	0.00918829i	$0.00292477\pi$
$569$			0.438350i			0.0183766i	−0.999958	+	0.00918829i	$0.997075\pi$
$570$	−1.60391	−	5.98587i	−0.0671804	−	0.250721i
$571$	−1.04982	+	0.606116i	−0.0439338	+	0.0253652i	−0.521806	−	0.853064i	$-0.674742\pi$
$571$	−1.04982	+	0.606116i	−0.0439338	+	0.0253652i	0.477872	+	0.878429i	$0.341408\pi$
$572$	−26.3675	+	30.6580i	−1.10248	+	1.28188i
$573$		−	10.6266i		−	0.443932i
$574$	−1.77425	+	0.0380663i	−0.0740560	+	0.00158886i
$575$	14.9583	+	25.9085i	0.623804	+	1.08046i
$576$	6.81996	−	3.93751i	0.284165	−	0.164063i
$577$	−0.402507	+	1.50218i	−0.0167566	+	0.0625365i	−0.973798	−	0.227415i	$-0.926973\pi$
$577$	−0.402507	+	1.50218i	−0.0167566	+	0.0625365i	0.957041	+	0.289952i	$0.0936392\pi$
$578$	1.28155	−	1.28155i	0.0533057	−	0.0533057i
$579$	−6.36131	−	1.70451i	−0.264367	−	0.0708369i
$580$	4.61532	−	4.61532i	0.191641	−	0.191641i
$581$	15.0740	−	4.38769i	0.625373	−	0.182032i
$582$	11.2535	−	6.49723i	0.466474	−	0.269319i
$583$	−16.0516	−	16.0516i	−0.664788	−	0.664788i
$584$	31.6653	+	54.8460i	1.31032	+	2.26954i
$585$	0.139183	−	0.736805i	0.00575452	−	0.0304631i
$586$	−70.7533	−	40.8495i	−2.92279	−	1.68748i
$587$	4.96434	−	18.5272i	0.204900	−	0.764698i	−0.784580	−	0.620028i	$-0.787121\pi$
$587$	4.96434	−	18.5272i	0.204900	−	0.764698i	0.989480	−	0.144670i	$-0.0462121\pi$
$588$	54.0422	−	2.32000i	2.22866	−	0.0956752i
$589$	−10.9489	−	6.32137i	−0.451143	−	0.260467i
$590$	−0.107622	−	0.401652i	−0.00443074	−	0.0165357i
$591$	−5.30755	−	5.30755i	−0.218323	−	0.218323i
$592$	−25.9436	−	25.9436i	−1.06627	−	1.06627i
$593$	−1.95948	−	7.31288i	−0.0804662	−	0.300304i	0.913951	−	0.405825i	$-0.133016\pi$
$593$	−1.95948	−	7.31288i	−0.0804662	−	0.300304i	−0.994417	+	0.105521i	$0.966349\pi$
$594$	−25.1319	−	14.5099i	−1.03118	−	0.595349i
$595$	−0.596939	+	2.43564i	−0.0244721	+	0.0998514i
$596$	10.7299	−	40.0444i	0.439512	−	1.64028i
$597$	38.0071	+	21.9434i	1.55553	+	0.898084i
$598$	9.85253	−	52.1570i	0.402900	−	2.13286i
$599$	18.9239	+	32.7771i	0.773208	+	1.33924i	0.935796	+	0.352542i	$0.114683\pi$
$599$	18.9239	+	32.7771i	0.773208	+	1.33924i	−0.162588	+	0.986694i	$0.551984\pi$
$600$	32.2063	+	32.2063i	1.31482	+	1.31482i
$601$	20.0340	−	11.5666i	0.817205	−	0.471813i	−0.0322469	−	0.999480i	$-0.510266\pi$
$601$	20.0340	−	11.5666i	0.817205	−	0.471813i	0.849452	+	0.527667i	$0.176933\pi$
$602$	−6.92586	+	28.2590i	−0.282277	+	1.15175i
$603$	−1.66506	+	1.66506i	−0.0678066	+	0.0678066i
$604$	17.0359	+	4.56475i	0.693181	+	0.185737i
$605$	−0.468335	+	0.468335i	−0.0190405	+	0.0190405i
$606$	−17.1072	+	63.8449i	−0.694933	+	2.59352i
$607$	−8.49783	+	4.90622i	−0.344916	+	0.199137i	−0.662444	−	0.749112i	$-0.730481\pi$
$607$	−8.49783	+	4.90622i	−0.344916	+	0.199137i	0.317528	+	0.948249i	$0.397147\pi$
$608$	2.07983	+	3.60238i	0.0843483	+	0.146096i
$609$	−32.3685	−	17.7733i	−1.31164	−	0.720212i
$610$			1.30467i			0.0528246i
$611$	−7.65517	+	8.90084i	−0.309695	+	0.360089i
$612$	−12.1101	+	6.99175i	−0.489520	+	0.282625i
$613$	9.62949	+	35.9377i	0.388931	+	1.45151i	0.831875	+	0.554962i	$0.187267\pi$
$613$	9.62949	+	35.9377i	0.388931	+	1.45151i	−0.442944	+	0.896549i	$0.646066\pi$
$614$		−	65.9140i		−	2.66007i
$615$	0.0638647	−	0.110617i	0.00257527	−	0.00446050i
$616$	30.2450	−	18.3380i	1.21860	−	0.738859i
$617$	−2.10572	−	7.85866i	−0.0847732	−	0.316378i	0.910498	−	0.413514i	$-0.135699\pi$
$617$	−2.10572	−	7.85866i	−0.0847732	−	0.316378i	−0.995271	+	0.0971357i	$0.969032\pi$
$618$	−9.96175	+	37.1778i	−0.400720	+	1.49551i
$619$	44.4523	+	11.9110i	1.78669	+	0.478742i	0.991776	−	0.127984i	$-0.0408505\pi$
$619$	44.4523	+	11.9110i	1.78669	+	0.478742i	0.794912	+	0.606725i	$0.207517\pi$
$620$	−2.12006			−0.0851436
$621$	25.2250			1.01224
$622$	−77.8924	−	20.8712i	−3.12320	−	0.836859i
$623$	−2.55234	−	8.76859i	−0.102257	−	0.351306i
$624$	−1.88227	−	25.0170i	−0.0753511	−	1.00148i
$625$	12.0870	−	20.9353i	0.483481	−	0.837413i
$626$	3.09520	−	0.829356i	0.123709	−	0.0331477i
$627$	−15.4946	+	26.8375i	−0.618796	+	1.07179i
$628$	−25.4985	−	44.1647i	−1.01750	−	1.76236i
$629$	−29.6286	−	29.6286i	−1.18137	−	1.18137i
$630$	−0.644396	+	1.17356i	−0.0256733	+	0.0467558i
$631$	5.64724	−	1.51317i	0.224813	−	0.0602384i	−0.144654	−	0.989482i	$-0.546207\pi$
$631$	5.64724	−	1.51317i	0.224813	−	0.0602384i	0.369467	+	0.929244i	$0.379540\pi$
$632$	−17.2797	+	4.63008i	−0.687350	+	0.184175i
$633$			30.5903i			1.21585i
$634$	−18.2604	−	10.5426i	−0.725211	−	0.418701i
$635$	0.698590	−	0.698590i	0.0277227	−	0.0277227i
$636$	61.3225			2.43160
$637$	−9.95845	+	23.1911i	−0.394568	+	0.918867i
$638$	−49.2896			−1.95139
$639$	0.876316	−	0.876316i	0.0346665	−	0.0346665i
$640$	4.10189	+	2.36823i	0.162141	+	0.0936124i
$641$			44.4981i			1.75757i	0.477219	+	0.878785i	$0.341645\pi$
$641$			44.4981i			1.75757i	−0.477219	+	0.878785i	$0.658355\pi$
$642$	19.3576	−	5.18686i	0.763985	−	0.204709i
$643$	−27.5723	+	7.38796i	−1.08734	+	0.291353i	−0.757601	−	0.652718i	$-0.773629\pi$
$643$	−27.5723	+	7.38796i	−1.08734	+	0.291353i	−0.329743	+	0.944071i	$0.606962\pi$
$644$	−30.2066	+	55.0118i	−1.19031	+	2.16777i
$645$	−1.48075	−	1.48075i	−0.0583046	−	0.0583046i
$646$	−26.9612	−	46.6982i	−1.06078	−	1.83732i
$647$	−17.6121	+	30.5051i	−0.692404	+	1.19928i	0.278644	+	0.960395i	$0.410115\pi$
$647$	−17.6121	+	30.5051i	−0.692404	+	1.19928i	−0.971048	+	0.238885i	$0.923218\pi$
$648$	49.0755	−	13.1497i	1.92787	−	0.516571i
$649$	−1.03969	+	1.80079i	−0.0408114	+	0.0706874i
$650$	−40.9424	+	14.3401i	−1.60589	+	0.562463i
$651$	3.35216	+	11.5164i	0.131381	+	0.451363i
$652$	−62.1312	−	16.6480i	−2.43325	−	0.651987i
$653$	−15.3961			−0.602498			−0.301249	−	0.953546i	$-0.597403\pi$
$653$	−15.3961			−0.602498			−0.301249	+	0.953546i	$0.597403\pi$
$654$	67.5579			2.64172
$655$	−3.12420	−	0.837126i	−0.122073	−	0.0327092i
$656$	0.251879	−	0.940027i	0.00983424	−	0.0367019i
$657$	3.10264	+	11.5792i	0.121045	+	0.451748i
$658$	17.9245	−	10.8679i	0.698769	−	0.423675i
$659$	5.17792	−	8.96841i	0.201703	−	0.349360i	−0.747374	−	0.664403i	$-0.768686\pi$
$659$	5.17792	−	8.96841i	0.201703	−	0.349360i	0.949077	+	0.315043i	$0.102019\pi$
$660$			5.19658i			0.202277i
$661$	5.27256	+	19.6775i	0.205079	+	0.765365i	0.989425	+	0.145042i	$0.0463318\pi$
$661$	5.27256	+	19.6775i	0.205079	+	0.765365i	−0.784347	+	0.620323i	$0.787002\pi$
$662$	49.2755	−	28.4492i	1.91515	−	1.10571i
$663$	−2.14962	−	28.5704i	−0.0834844	−	1.10958i
$664$			27.7317i			1.07620i
$665$	−2.99674	−	1.64549i	−0.116209	−	0.0638095i
$666$	−11.1852	−	19.3734i	−0.433419	−	0.750704i
$667$	37.1041	−	21.4220i	1.43668	−	0.829465i
$668$	10.3463	−	38.6128i	0.400309	−	1.49397i
$669$	−7.10795	+	7.10795i	−0.274809	+	0.274809i
$670$	−1.47079	−	0.394096i	−0.0568215	−	0.0152253i
$671$	4.61332	−	4.61332i	0.178095	−	0.178095i
$672$	0.939386	−	3.83289i	0.0362376	−	0.147857i
$673$	−28.0255	+	16.1805i	−1.08030	+	0.623714i	−0.930979	−	0.365074i	$-0.881044\pi$
$673$	−28.0255	+	16.1805i	−1.08030	+	0.623714i	−0.149326	+	0.988788i	$0.547710\pi$
$674$	8.74329	+	8.74329i	0.336779	+	0.336779i
$675$	−10.3080	−	17.8540i	−0.396755	−	0.687200i
$676$	47.4566	+	18.5927i	1.82525	+	0.715103i
$677$	11.3616	+	6.55960i	0.436660	+	0.252106i	0.702180	−	0.712000i	$-0.252210\pi$
$677$	11.3616	+	6.55960i	0.436660	+	0.252106i	−0.265520	+	0.964105i	$0.585544\pi$
$678$	5.72702	−	21.3735i	0.219945	−	0.820845i
$679$	1.70647	−	6.96274i	0.0654882	−	0.267206i
$680$	−3.83619	−	2.21482i	−0.147111	−	0.0849346i
$681$	5.51132	+	20.5685i	0.211194	+	0.788188i
$682$	11.3206	+	11.3206i	0.433489	+	0.433489i
$683$	−27.1767	−	27.1767i	−1.03989	−	1.03989i	−0.999171	−	0.0407173i	$-0.987036\pi$
$683$	−27.1767	−	27.1767i	−1.03989	−	1.03989i	−0.0407173	−	0.999171i	$-0.512964\pi$
$684$	−4.93407	−	18.4142i	−0.188659	−	0.704084i
$685$	−2.80909	−	1.62183i	−0.107330	−	0.0619669i
$686$	29.7500	−	33.8486i	1.13586	−	1.29234i
$687$	6.74510	−	25.1731i	0.257342	−	0.960412i
$688$	−13.8177	−	7.97762i	−0.526793	−	0.304144i
$689$	−12.4068	+	25.7827i	−0.472663	+	0.982243i
$690$	−3.41062	−	5.90737i	−0.129840	−	0.224890i
$691$	−11.8354	−	11.8354i	−0.450240	−	0.450240i	0.445194	−	0.895434i	$-0.353135\pi$
$691$	−11.8354	−	11.8354i	−0.450240	−	0.450240i	−0.895434	+	0.445194i	$0.853135\pi$
$692$	50.8502	−	29.3584i	1.93303	−	1.11604i
$693$	6.42830	−	1.87113i	0.244191	−	0.0710784i
$694$	−1.17683	+	1.17683i	−0.0446720	+	0.0446720i
$695$	3.38910	+	0.908107i	0.128556	+	0.0344464i
$696$	46.1233	−	46.1233i	1.74830	−	1.74830i
$697$	0.287656	−	1.07355i	0.0108957	−	0.0406635i
$698$	−11.0718	+	6.39229i	−0.419072	+	0.241952i
$699$	12.0516	+	20.8741i	0.455835	+	0.789529i
$700$	51.2805	−	1.10021i	1.93822	−	0.0415842i
$701$			22.9034i			0.865051i	0.901622	+	0.432525i	$0.142377\pi$
$701$			22.9034i			0.865051i	−0.901622	+	0.432525i	$0.857623\pi$
$702$	−6.78954	+	35.9423i	−0.256255	+	1.35655i
$703$	49.4708	−	28.5620i	1.86583	−	1.07724i
$704$	−6.59076	−	24.5971i	−0.248399	−	0.927037i
$705$			1.50870i			0.0568211i
$706$	−26.4167	+	45.7551i	−0.994206	+	1.72201i
$707$	18.9055	+	31.1809i	0.711014	+	1.17268i
$708$	−1.45384	−	5.42581i	−0.0546387	−	0.203914i
$709$	−1.72913	+	6.45322i	−0.0649390	+	0.242356i	−0.990764	−	0.135596i	$-0.956705\pi$
$709$	−1.72913	+	6.45322i	−0.0649390	+	0.242356i	0.925825	+	0.377952i	$0.123372\pi$
$710$	0.774070	+	0.207411i	0.0290503	+	0.00778401i
$711$	−3.38621			−0.126993
$712$	16.1317			0.604560
$713$	−13.4420	−	3.60178i	−0.503408	−	0.134888i
$714$	−12.1774	+	49.6865i	−0.455729	+	1.85947i
$715$	−2.18487	−	1.05138i	−0.0817096	−	0.0393193i
$716$	18.0030	−	31.1821i	0.672803	−	1.16533i
$717$	−11.7640	+	3.15216i	−0.439335	+	0.117719i
$718$	−17.2737	+	29.9189i	−0.644648	+	1.11656i
$719$	−5.57246	−	9.65178i	−0.207818	−	0.359951i	0.743209	−	0.669059i	$-0.233303\pi$
$719$	−5.57246	−	9.65178i	−0.207818	−	0.359951i	−0.951027	+	0.309108i	$0.899969\pi$
$720$	−0.519152	−	0.519152i	−0.0193476	−	0.0193476i
$721$	11.0089	+	18.1571i	0.409993	+	0.676205i
$722$	26.3516	−	7.06089i	0.980705	−	0.262779i
$723$	23.2712	−	6.23551i	0.865466	−	0.231901i
$724$			50.2638i			1.86804i
$725$	−30.3246	−	17.5079i	−1.12623	−	0.650228i
$726$	−9.55393	+	9.55393i	−0.354580	+	0.354580i
$727$	−2.66009			−0.0986574			−0.0493287	−	0.998783i	$-0.515708\pi$
$727$	−2.66009			−0.0986574			−0.0493287	+	0.998783i	$0.515708\pi$
$728$	−34.4163	−	28.3385i	−1.27555	−	1.05029i
$729$	−15.0353			−0.556862
$730$	−5.48126	+	5.48126i	−0.202871	+	0.202871i
$731$	−15.7803	−	9.11075i	−0.583655	−	0.336973i
$732$			17.6245i			0.651419i
$733$	−18.2289	+	4.88442i	−0.673299	+	0.180410i	−0.579241	−	0.815157i	$-0.696651\pi$
$733$	−18.2289	+	4.88442i	−0.673299	+	0.180410i	−0.0940588	+	0.995567i	$0.529984\pi$
$734$	−7.06318	+	1.89257i	−0.260707	+	0.0698561i
$735$	0.973065	+	3.09405i	0.0358921	+	0.114126i
$736$	3.23760	+	3.23760i	0.119340	+	0.119340i
$737$	3.80718	+	6.59423i	0.140239	+	0.242902i
$738$	0.296686	−	0.513874i	0.0109211	−	0.0189160i
$739$	40.8109	−	10.9352i	1.50125	−	0.402259i	0.587733	−	0.809055i	$-0.300020\pi$
$739$	40.8109	−	10.9352i	1.50125	−	0.402259i	0.913519	+	0.406795i	$0.133354\pi$
$740$	4.78956	−	8.29575i	0.176068	−	0.304958i
$741$	38.3815	+	7.25031i	1.40998	+	0.266347i
$742$	35.3415	−	36.8913i	1.29743	−	1.35432i
$743$	23.2394	+	6.22698i	0.852571	+	0.228446i	0.658536	−	0.752549i	$-0.271176\pi$
$743$	23.2394	+	6.22698i	0.852571	+	0.228446i	0.194035	+	0.980995i	$0.437842\pi$
$744$	−21.1868			−0.776747
$745$	2.48583			0.0910738
$746$	−61.5436	−	16.4906i	−2.25327	−	0.603762i
$747$	−1.35861	+	5.07039i	−0.0497088	+	0.185516i
$748$	11.7031	+	43.6765i	0.427907	+	1.59697i
$749$	5.32134	−	9.69113i	0.194438	−	0.354106i
$750$	−5.60606	+	9.70998i	−0.204704	+	0.354558i
$751$			16.7433i			0.610973i	0.952196	+	0.305486i	$0.0988191\pi$
$751$			16.7433i			0.610973i	−0.952196	+	0.305486i	$0.901181\pi$
$752$	2.97513	+	11.1033i	0.108492	+	0.404897i
$753$	−46.0761	+	26.6020i	−1.67911	+	0.969432i
$754$	20.5367	+	58.6343i	0.747901	+	2.13534i
$755$			1.05754i			0.0384877i
$756$	20.8159	−	37.9096i	0.757067	−	1.37876i
$757$	−13.8538	−	23.9955i	−0.503524	−	0.872130i	−0.999992	−	0.00407434i	$-0.998703\pi$
$757$	−13.8538	−	23.9955i	−0.503524	−	0.872130i	0.496467	−	0.868055i	$-0.334630\pi$
$758$	12.1045	−	6.98855i	0.439656	−	0.253836i
$759$	−8.82851	+	32.9485i	−0.320455	+	1.19595i
$760$	4.27019	−	4.27019i	0.154896	−	0.154896i
$761$	21.8743	+	5.86120i	0.792943	+	0.212468i	0.632483	−	0.774574i	$-0.282036\pi$
$761$	21.8743	+	5.86120i	0.792943	+	0.212468i	0.160459	+	0.987042i	$0.448702\pi$
$762$	14.2511	−	14.2511i	0.516262	−	0.516262i
$763$	25.7828	−	26.9134i	0.933401	−	0.974332i
$764$	18.3067	−	10.5694i	0.662314	−	0.382387i
$765$	−0.592891	−	0.592891i	−0.0214360	−	0.0214360i
$766$	−19.7607	−	34.2265i	−0.713983	−	1.23665i
$767$	2.57540	+	0.486496i	0.0929921	+	0.0175663i
$768$	53.2879	+	30.7658i	1.92286	+	1.11016i
$769$	5.25290	−	19.6041i	0.189424	−	0.706941i	−0.804216	−	0.594338i	$-0.797414\pi$
$769$	5.25290	−	19.6041i	0.189424	−	0.706941i	0.993640	−	0.112604i	$-0.0359191\pi$
$770$	3.12623	+	2.99490i	0.112662	+	0.107929i
$771$	−32.9296	−	19.0119i	−1.18593	−	0.684698i
$772$	−3.39066	−	12.6541i	−0.122033	−	0.455432i
$773$	14.4404	+	14.4404i	0.519384	+	0.519384i	0.917385	−	0.398001i	$-0.130296\pi$
$773$	14.4404	+	14.4404i	0.519384	+	0.519384i	−0.398001	+	0.917385i	$0.630296\pi$
$774$	−6.87889	−	6.87889i	−0.247257	−	0.247257i
$775$	2.94369	+	10.9860i	0.105740	+	0.394628i
$776$	10.9665	+	6.33150i	0.393674	+	0.227288i
$777$	−52.6365	−	12.9004i	−1.88832	−	0.462801i
$778$	5.85193	−	21.8397i	0.209802	−	0.782991i
$779$	1.31220	+	0.757600i	0.0470145	+	0.0271438i
$780$	6.18179	−	2.16517i	0.221344	−	0.0775256i
$781$	−2.00371	−	3.47052i	−0.0716982	−	0.124185i
$782$	−41.9696	−	41.9696i	−1.50083	−	1.50083i
$783$	−25.5690	+	14.7623i	−0.913763	+	0.527561i
$784$	13.2627	+	20.8518i	0.473667	+	0.744708i
$785$	2.16224	−	2.16224i	0.0771736	−	0.0771736i
$786$	−63.7329	−	17.0772i	−2.27328	−	0.609123i
$787$	24.9260	−	24.9260i	0.888517	−	0.888517i	−0.105864	−	0.994381i	$-0.533761\pi$
$787$	24.9260	−	24.9260i	0.888517	−	0.888517i	0.994381	+	0.105864i	$0.0337607\pi$
$788$	3.86448	−	14.4224i	0.137666	−	0.513778i
$789$	−33.9989	+	19.6293i	−1.21039	+	0.698821i
$790$	−1.09482	−	1.89629i	−0.0389521	−	0.0674670i
$791$	−6.32903	−	10.4385i	−0.225035	−	0.371151i
$792$			11.8262i			0.420226i
$793$	−7.41011	−	3.56580i	−0.263141	−	0.126625i
$794$	−39.7167	+	22.9304i	−1.40949	+	0.813770i
$795$	0.951679	+	3.55171i	0.0337526	+	0.125966i
$796$			87.3012i			3.09431i
$797$	10.0235	−	17.3612i	0.355050	−	0.614964i	−0.632077	−	0.774906i	$-0.717797\pi$
$797$	10.0235	−	17.3612i	0.355050	−	0.614964i	0.987126	+	0.159942i	$0.0511306\pi$
$798$	−61.1329	−	33.5677i	−2.16408	−	1.18828i
$799$	3.39771	+	12.6804i	0.120202	+	0.448602i
$800$	0.968520	−	3.61457i	0.0342424	−	0.127794i
$801$	2.94947	+	0.790308i	0.104214	+	0.0279242i
$802$	91.1557			3.21882
$803$	38.7635			1.36793
$804$	−19.8685	−	5.32375i	−0.700708	−	0.187754i
$805$	−3.65499	−	0.895785i	−0.128821	−	0.0315723i
$806$	8.75012	−	18.1837i	0.308210	−	0.640493i
$807$	−25.8932	+	44.8484i	−0.911485	+	1.57874i
$808$	−62.2165	+	16.6708i	−2.18877	+	0.586478i
$809$	−17.2473	+	29.8731i	−0.606381	+	1.05028i	0.385450	+	0.922729i	$0.374046\pi$
$809$	−17.2473	+	29.8731i	−0.606381	+	1.05028i	−0.991832	+	0.127555i	$0.959287\pi$
$810$	3.10937	+	5.38559i	0.109252	+	0.189230i
$811$	15.8161	+	15.8161i	0.555379	+	0.555379i	0.927988	−	0.372609i	$-0.121537\pi$
$811$	15.8161	+	15.8161i	0.555379	+	0.555379i	−0.372609	+	0.927988i	$0.621537\pi$
$812$	−1.57564	−	73.4398i	−0.0552940	−	2.57723i
$813$	−10.2272	+	2.74036i	−0.358682	+	0.0961085i
$814$	−69.8726	+	18.7223i	−2.44903	+	0.656217i
$815$		−	3.85692i		−	0.135102i
$816$	−24.2949	−	14.0267i	−0.850493	−	0.491032i
$817$	17.5656	−	17.5656i	0.614541	−	0.614541i
$818$	−49.6069			−1.73447
$819$	−4.90425	−	6.86742i	−0.171368	−	0.239967i
$820$	0.254084			0.00887298
$821$	−27.2867	+	27.2867i	−0.952313	+	0.952313i	−0.998914	−	0.0466003i	$-0.985161\pi$
$821$	−27.2867	+	27.2867i	−0.952313	+	0.952313i	0.0466003	+	0.998914i	$0.485161\pi$
$822$	−57.3049	−	33.0850i	−1.99874	−	1.15397i
$823$			9.45706i			0.329653i	0.986323	+	0.164826i	$0.0527063\pi$
$823$			9.45706i			0.329653i	−0.986323	+	0.164826i	$0.947294\pi$
$824$	−36.2295	+	9.70766i	−1.26211	+	0.338182i
$825$	26.9283	−	7.21541i	0.937523	−	0.251208i
$826$	−4.10202	−	2.25239i	−0.142727	−	0.0783708i
$827$	12.1614	+	12.1614i	0.422895	+	0.422895i	0.886199	−	0.463304i	$-0.153336\pi$
$827$	12.1614	+	12.1614i	0.422895	+	0.422895i	−0.463304	+	0.886199i	$0.653336\pi$
$828$	−10.4920	−	18.1727i	−0.364623	−	0.631545i
$829$	2.94122	−	5.09434i	0.102153	−	0.176934i	−0.810419	−	0.585851i	$-0.800760\pi$
$829$	2.94122	−	5.09434i	0.102153	−	0.176934i	0.912571	+	0.408918i	$0.134094\pi$
$830$	−3.27870	+	0.878526i	−0.113805	+	0.0304941i
$831$	6.41657	−	11.1138i	0.222588	−	0.385534i
$832$	−26.5143	+	18.0888i	−0.919219	+	0.627115i
$833$	15.1465	+	23.8136i	0.524795	+	0.825092i
$834$	69.1369	+	18.5252i	2.39401	+	0.641474i
$835$	2.39697			0.0829504
$836$	−61.6449			−2.13203
$837$	9.26314	+	2.48205i	0.320181	+	0.0857922i
$838$	6.89634	−	25.7375i	0.238230	−	0.889087i
$839$	−3.66834	−	13.6904i	−0.126645	−	0.472646i	0.873248	−	0.487276i	$-0.162009\pi$
$839$	−3.66834	−	13.6904i	−0.126645	−	0.472646i	−0.999893	+	0.0146305i	$0.995343\pi$
$840$	−5.72792	+	0.122891i	−0.197632	+	0.00424016i
$841$	−10.5734	+	18.3137i	−0.364601	+	0.631507i
$842$		−	27.5259i		−	0.948604i
$843$	8.04666	+	30.0305i	0.277142	+	1.03431i
$844$	−52.6987	+	30.4256i	−1.81397	+	1.04729i
$845$	−0.340371	+	3.03716i	−0.0117091	+	0.104482i
$846$			7.00874i			0.240965i
$847$	0.159886	+	7.45223i	0.00549375	+	0.256061i
$848$	14.0078	+	24.2622i	0.481030	+	0.833168i
$849$	−4.05896	+	2.34344i	−0.139303	+	0.0804268i
$850$	−12.5551	+	46.8563i	−0.430636	+	1.60716i
$851$	44.4615	−	44.4615i	1.52412	−	1.52412i
$852$	10.4567	+	2.80187i	0.358241	+	0.0959904i
$853$	−0.313002	+	0.313002i	−0.0107170	+	0.0107170i	−0.712445	−	0.701728i	$-0.752412\pi$
$853$	−0.313002	+	0.313002i	−0.0107170	+	0.0107170i	0.701728	+	0.712445i	$0.252412\pi$
$854$	10.6028	+	10.1574i	0.362820	+	0.347578i
$855$	0.989951	−	0.571548i	0.0338556	−	0.0195465i
$856$	13.8093	+	13.8093i	0.471993	+	0.471993i
$857$	−17.0917	−	29.6037i	−0.583842	−	1.01124i	−0.995019	−	0.0996889i	$-0.968215\pi$
$857$	−17.0917	−	29.6037i	−0.583842	−	1.01124i	0.411176	−	0.911556i	$-0.365118\pi$
$858$	−44.5709	−	21.4479i	−1.52163	−	0.732218i
$859$	−3.41700	−	1.97280i	−0.116586	−	0.0673112i	0.440573	−	0.897717i	$-0.354775\pi$
$859$	−3.41700	−	1.97280i	−0.116586	−	0.0673112i	−0.557159	+	0.830406i	$0.688109\pi$
$860$	1.07815	−	4.02372i	0.0367647	−	0.137208i
$861$	−0.401748	−	1.38021i	−0.0136915	−	0.0470374i
$862$	36.8711	+	21.2875i	1.25583	+	0.725056i
$863$	−9.37524	−	34.9889i	−0.319137	−	1.19104i	−0.920076	−	0.391740i	$-0.871873\pi$
$863$	−9.37524	−	34.9889i	−0.319137	−	1.19104i	0.600939	−	0.799295i	$-0.294794\pi$
$864$	−2.23109	−	2.23109i	−0.0759031	−	0.0759031i
$865$	2.48955	+	2.48955i	0.0846472	+	0.0846472i
$866$	−3.85001	−	14.3684i	−0.130829	−	0.488260i
$867$	1.27137	+	0.734026i	0.0431780	+	0.0249288i
$868$	−16.5055	+	17.2292i	−0.560232	+	0.584799i
$869$	−2.83399	+	10.5766i	−0.0961364	+	0.358786i
$870$	6.91428	+	3.99196i	0.234416	+	0.135340i
$871$	6.25815	−	7.27649i	0.212049	−	0.246555i
$872$	32.9173	+	57.0145i	1.11472	+	1.93075i
$873$	1.69489	+	1.69489i	0.0573635	+	0.0573635i
$874$	70.0768	−	40.4588i	2.37038	−	1.36854i
$875$	1.72872	+	5.93905i	0.0584415	+	0.200776i
$876$	−74.0450	+	74.0450i	−2.50175	+	2.50175i
$877$	38.1725	+	10.2283i	1.28899	+	0.345385i	0.837278	−	0.546777i	$-0.184146\pi$
$877$	38.1725	+	10.2283i	1.28899	+	0.345385i	0.451716	+	0.892162i	$0.350812\pi$
$878$	27.0530	−	27.0530i	0.912994	−	0.912994i
$879$	17.1278	−	63.9218i	0.577706	−	2.15603i
$880$	−2.05602	+	1.18705i	−0.0693085	+	0.0400153i
$881$	3.07636	+	5.32841i	0.103645	+	0.179519i	0.913184	−	0.407548i	$-0.133616\pi$
$881$	3.07636	+	5.32841i	0.103645	+	0.179519i	−0.809539	+	0.587067i	$0.800283\pi$
$882$	4.52041	+	14.3735i	0.152210	+	0.483981i
$883$			2.86401i			0.0963817i	0.998838	+	0.0481909i	$0.0153456\pi$
$883$			2.86401i			0.0963817i	−0.998838	+	0.0481909i	$0.984654\pi$
$884$	47.0809	−	32.1198i	1.58350	−	1.08031i
$885$	0.291693	−	0.168409i	0.00980515	−	0.00566100i
$886$	7.10297	+	26.5087i	0.238629	+	0.890576i
$887$			54.0214i			1.81386i	0.421281	+	0.906930i	$0.361581\pi$
$887$			54.0214i			1.81386i	−0.421281	+	0.906930i	$0.638419\pi$
$888$	47.8645	−	82.9037i	1.60623	−	2.78207i
$889$	−0.238493	−	11.1161i	−0.00799881	−	0.372821i
$890$	0.511042	+	1.90724i	0.0171302	+	0.0639307i
$891$	8.04870	−	30.0382i	0.269642	−	1.00632i
$892$	−19.3148	−	5.17537i	−0.646706	−	0.173284i
$893$	−17.8971			−0.598905
$894$	50.7104			1.69601
$895$	2.08541	+	0.558785i	0.0697077	+	0.0186781i
$896$	51.1809	−	14.8976i	1.70983	−	0.497693i
$897$	42.8736	−	3.22579i	1.43151	−	0.107706i
$898$	−5.91065	+	10.2375i	−0.197241	+	0.341631i
$899$	15.7332	−	4.21571i	0.524733	−	0.140602i
$900$	−8.57498	+	14.8523i	−0.285833	+	0.495076i
$901$	15.9974	+	27.7084i	0.532952	+	0.923100i
$902$	−1.35675	−	1.35675i	−0.0451748	−	0.0451748i
$903$	−23.5620	+	0.505518i	−0.784094	+	0.0168226i
$904$	20.8283	−	5.58094i	0.692741	−	0.185619i
$905$	−2.91121	+	0.780056i	−0.0967719	+	0.0259299i
$906$			21.5735i			0.716731i
$907$	−2.95673	−	1.70707i	−0.0981766	−	0.0566823i	0.450108	−	0.892974i	$-0.351386\pi$
$907$	−2.95673	−	1.70707i	−0.0981766	−	0.0566823i	−0.548284	+	0.836292i	$0.684719\pi$
$908$	−29.9523	+	29.9523i	−0.994003	+	0.994003i
$909$	−12.1922			−0.404390
$910$	2.26015	−	4.96677i	0.0749232	−	0.164647i
$911$	40.6913			1.34816			0.674082	−	0.738656i	$-0.264539\pi$
$911$	40.6913			1.34816			0.674082	+	0.738656i	$0.264539\pi$
$912$	27.0435	−	27.0435i	0.895501	−	0.895501i
$913$	14.7000	+	8.48703i	0.486498	+	0.280880i
$914$		−	21.6913i		−	0.717484i
$915$	−1.02078	+	0.273518i	−0.0337461	+	0.00904224i
$916$	50.0751	−	13.4176i	1.65453	−	0.443330i
$917$	−31.1262	+	18.8723i	−1.02788	+	0.623219i
$918$	28.9220	+	28.9220i	0.954567	+	0.954567i
$919$	11.1365	+	19.2890i	0.367359	+	0.636285i	0.989152	−	0.146897i	$-0.0469287\pi$
$919$	11.1365	+	19.2890i	0.367359	+	0.636285i	−0.621793	+	0.783182i	$0.713595\pi$
$920$	3.32363	−	5.75670i	0.109577	−	0.189793i
$921$	51.5716	−	13.8186i	1.69934	−	0.455337i
$922$	14.4057	−	24.9514i	0.474427	−	0.821732i
$923$	−3.29364	+	3.82959i	−0.108412	+	0.126053i
$924$	42.2315	+	40.4574i	1.38931	+	1.33095i
$925$	−49.6383	−	13.3005i	−1.63210	−	0.437319i
$926$	67.5461			2.21970
$927$	−7.09968			−0.233184
$928$	−5.17649	−	1.38704i	−0.169927	−	0.0455317i
$929$	13.8098	−	51.5390i	0.453086	−	1.69094i	−0.240568	−	0.970632i	$-0.577334\pi$
$929$	13.8098	−	51.5390i	0.453086	−	1.69094i	0.693654	−	0.720308i	$-0.256000\pi$
$930$	−0.671187	−	2.50490i	−0.0220091	−	0.0821390i
$931$	−36.7034	+	11.5431i	−1.20290	+	0.378309i
$932$	−23.9735	+	41.5234i	−0.785280	+	1.36014i
$933$		−	65.3191i		−	2.13845i
$934$	−15.4760	−	57.7572i	−0.506390	−	1.88987i
$935$	−2.34806	+	1.35565i	−0.0767897	+	0.0443345i
$936$	14.0683	−	4.92744i	0.459838	−	0.161058i
$937$			41.0483i			1.34099i	0.741914	+	0.670495i	$0.233918\pi$
$937$			41.0483i			1.34099i	−0.741914	+	0.670495i	$0.766082\pi$
$938$	−14.6534	+	8.88458i	−0.478450	+	0.290092i
$939$	1.29779	+	2.24784i	0.0423517	+	0.0733553i
$940$	−2.59909	+	1.50058i	−0.0847728	+	0.0489436i
$941$	−0.900623	+	3.36117i	−0.0293595	+	0.109571i	−0.979051	−	0.203617i	$-0.934730\pi$
$941$	−0.900623	+	3.36117i	−0.0293595	+	0.109571i	0.949691	+	0.313188i	$0.101397\pi$
$942$	44.1092	−	44.1092i	1.43715	−	1.43715i
$943$	1.61100	+	0.431665i	0.0524612	+	0.0140569i
$944$	1.81462	−	1.81462i	0.0590609	−	0.0590609i
$945$	2.51871	+	0.617300i	0.0819338	+	0.0200808i
$946$	−27.2428	+	15.7287i	−0.885741	+	0.511383i
$947$	9.62580	+	9.62580i	0.312796	+	0.312796i	0.845992	−	0.533196i	$-0.179009\pi$
$947$	9.62580	+	9.62580i	0.312796	+	0.312796i	−0.533196	+	0.845992i	$0.679009\pi$
$948$	−14.7897	−	25.6165i	−0.480347	−	0.831985i
$949$	−16.1509	−	46.1126i	−0.524282	−	1.49688i
$950$	−57.2727	−	33.0664i	−1.85817	−	1.07282i
$951$	4.42042	−	16.4972i	0.143342	−	0.534960i
$952$	−47.8656	+	13.9326i	−1.55133	+	0.451558i
$953$	−50.4563	−	29.1309i	−1.63444	−	0.943643i	−0.982701	−	0.185199i	$-0.940707\pi$
$953$	−50.4563	−	29.1309i	−1.63444	−	0.943643i	−0.651737	−	0.758445i	$-0.725960\pi$
$954$	4.42106	+	16.4996i	0.143137	+	0.534195i
$955$	0.896270	+	0.896270i	0.0290026	+	0.0290026i
$956$	−17.1310	−	17.1310i	−0.554056	−	0.554056i
$957$	−10.3333	−	38.5645i	−0.334029	−	1.24661i
$958$	−44.5475	−	25.7195i	−1.43927	−	0.830960i
$959$	−35.0501	+	10.2023i	−1.13183	+	0.329449i
$960$	−1.06757	+	3.98423i	−0.0344557	+	0.128591i
$961$	22.2650	+	12.8547i	0.718226	+	0.414668i
$962$	51.3845	+	75.3190i	1.65670	+	2.42838i
$963$	1.84832	+	3.20139i	0.0595614	+	0.103163i
$964$	33.8880	+	33.8880i	1.09146	+	1.09146i
$965$	0.680289	−	0.392765i	0.0218993	−	0.0126435i
$966$	−74.5610	−	18.2738i	−2.39896	−	0.587950i
$967$	29.7856	−	29.7856i	0.957840	−	0.957840i	−0.0413063	−	0.999147i	$-0.513152\pi$
$967$	29.7856	−	29.7856i	0.957840	−	0.957840i	0.999147	+	0.0413063i	$0.0131520\pi$
$968$	−12.7180	−	3.40778i	−0.408773	−	0.109530i
$969$	30.8847	−	30.8847i	0.992161	−	0.992161i
$970$	−0.401157	+	1.49714i	−0.0128804	+	0.0480702i
$971$	−14.2112	+	8.20486i	−0.456060	+	0.263306i	−0.710386	−	0.703812i	$-0.751480\pi$
$971$	−14.2112	+	8.20486i	−0.456060	+	0.263306i	0.254326	+	0.967119i	$0.418146\pi$
$972$	17.4841	+	30.2833i	0.560801	+	0.971336i
$973$	33.7654	−	20.4725i	1.08247	−	0.656319i
$974$		−	37.5963i		−	1.20466i
$975$	−19.8031	−	29.0273i	−0.634208	−	0.929617i
$976$	−6.97311	+	4.02593i	−0.223204	+	0.128867i
$977$	5.82122	+	21.7251i	0.186237	+	0.695047i	0.994362	+	0.106036i	$0.0338159\pi$
$977$	5.82122	+	21.7251i	0.186237	+	0.695047i	−0.808125	+	0.589011i	$0.799517\pi$
$978$		−	78.6802i		−	2.51592i
$979$	4.93694	−	8.55104i	0.157785	−	0.273292i
$980$	−4.36237	+	4.75372i	−0.139351	+	0.151852i
$981$	3.22531	+	12.0370i	0.102976	+	0.384313i
$982$	−13.8670	+	51.7523i	−0.442513	+	1.65148i
$983$	−55.3533	−	14.8319i	−1.76550	−	0.473063i	−0.777675	−	0.628666i	$-0.783601\pi$
$983$	−55.3533	−	14.8319i	−1.76550	−	0.473063i	−0.987820	+	0.155603i	$0.950268\pi$
$984$	2.53919			0.0809463
$985$	0.895301			0.0285267
$986$	67.1037	+	17.9804i	2.13702	+	0.572612i
$987$	12.2609	+	11.7458i	0.390269	+	0.373874i
$988$	25.6846	+	73.3321i	0.817134	+	2.33300i
$989$	13.6719	−	23.6804i	0.434740	−	0.752991i
$990$	−1.39821	+	0.374648i	−0.0444379	+	0.0119071i
$991$	−8.78106	+	15.2092i	−0.278940	+	0.483138i	−0.971122	−	0.238585i	$-0.923316\pi$
$991$	−8.78106	+	15.2092i	−0.278940	+	0.483138i	0.692182	+	0.721723i	$0.256650\pi$
$992$	0.870346	+	1.50748i	0.0276335	+	0.0478627i
$993$	32.5893	+	32.5893i	1.03419	+	1.03419i
$994$	7.71202	−	4.67592i	0.244611	−	0.148311i
$995$	−5.05636	+	1.35485i	−0.160297	+	0.0429516i
$996$	−44.2912	+	11.8678i	−1.40342	+	0.376045i
$997$		−	54.1792i		−	1.71587i	−0.513756	−	0.857936i	$-0.671746\pi$
$997$		−	54.1792i		−	1.71587i	0.513756	−	0.857936i	$-0.328254\pi$
$998$	60.7683	+	35.0846i	1.92359	+	1.11058i
$999$	−30.6392	+	30.6392i	−0.969380	+	0.969380i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	91.2.ba.a.54.1	yes	28
3.2	odd	2		819.2.et.b.145.7		28
7.2	even	3		637.2.bd.b.587.7		28
7.3	odd	6		91.2.w.a.80.1	yes	28
7.4	even	3		637.2.x.a.80.1		28
7.5	odd	6		637.2.bd.a.587.7		28
7.6	odd	2		637.2.bb.a.509.1		28
13.7	odd	12		91.2.w.a.33.1	✓	28
21.17	even	6		819.2.gh.b.262.7		28
39.20	even	12		819.2.gh.b.397.7		28
91.20	even	12		637.2.x.a.215.1		28
91.33	even	12		637.2.bd.b.293.7		28
91.46	odd	12		637.2.bb.a.423.1		28
91.59	even	12	inner	91.2.ba.a.59.1	yes	28
91.72	odd	12		637.2.bd.a.293.7		28
273.59	odd	12		819.2.et.b.514.7		28

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
91.2.w.a.33.1	✓	28	13.7	odd	12
91.2.w.a.80.1	yes	28	7.3	odd	6
91.2.ba.a.54.1	yes	28	1.1	even	1	trivial
91.2.ba.a.59.1	yes	28	91.59	even	12	inner
637.2.x.a.80.1		28	7.4	even	3
637.2.x.a.215.1		28	91.20	even	12
637.2.bb.a.423.1		28	91.46	odd	12
637.2.bb.a.509.1		28	7.6	odd	2
637.2.bd.a.293.7		28	91.72	odd	12
637.2.bd.a.587.7		28	7.5	odd	6
637.2.bd.b.293.7		28	91.33	even	12
637.2.bd.b.587.7		28	7.2	even	3
819.2.et.b.145.7		28	3.2	odd	2
819.2.et.b.514.7		28	273.59	odd	12
819.2.gh.b.262.7		28	21.17	even	6
819.2.gh.b.397.7		28	39.20	even	12

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 91 = 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	91.ba (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.72056 + 1.72056i) q^{2} +(-1.70689 - 0.985473i) q^{3} -3.92067i q^{4} +(0.227080 - 0.0608458i) q^{5} +(4.63238 - 1.24124i) q^{6} +(1.27342 - 2.31914i) q^{7} +(3.30464 + 3.30464i) q^{8} +(0.442313 + 0.766108i) q^{9} +O(q^{10})\)	\(q+(-1.72056 + 1.72056i) q^{2} +(-1.70689 - 0.985473i) q^{3} -3.92067i q^{4} +(0.227080 - 0.0608458i) q^{5} +(4.63238 - 1.24124i) q^{6} +(1.27342 - 2.31914i) q^{7} +(3.30464 + 3.30464i) q^{8} +(0.442313 + 0.766108i) q^{9} +(-0.286016 + 0.495394i) q^{10} +(2.76307 - 0.740362i) q^{11} +(-3.86372 + 6.69215i) q^{12} +(-2.03197 - 2.97844i) q^{13} +(1.79921 + 6.18122i) q^{14} +(-0.447562 - 0.119924i) q^{15} -3.53033 q^{16} -4.03177 q^{17} +(-2.07916 - 0.557110i) q^{18} +(1.42261 - 5.30924i) q^{19} +(-0.238557 - 0.890305i) q^{20} +(-4.45904 + 2.70358i) q^{21} +(-3.48019 + 6.02787i) q^{22} -6.05019i q^{23} +(-2.38402 - 8.89728i) q^{24} +(-4.28226 + 2.47237i) q^{25} +(8.62072 + 1.62847i) q^{26} +4.16929i q^{27} +(-9.09257 - 4.99268i) q^{28} +(3.54072 + 6.13271i) q^{29} +(0.976395 - 0.563722i) q^{30} +(0.595317 - 2.22176i) q^{31} +(-0.535124 + 0.535124i) q^{32} +(-5.44585 - 1.45921i) q^{33} +(6.93691 - 6.93691i) q^{34} +(0.148059 - 0.604111i) q^{35} +(3.00366 - 1.73416i) q^{36} +(7.34878 + 7.34878i) q^{37} +(6.68720 + 11.5826i) q^{38} +(0.533171 + 7.08632i) q^{39} +(0.951490 + 0.549343i) q^{40} +(-0.0713473 + 0.266272i) q^{41} +(3.02037 - 12.3237i) q^{42} +(3.91398 + 2.25974i) q^{43} +(-2.90272 - 10.8331i) q^{44} +(0.147055 + 0.147055i) q^{45} +(10.4097 + 10.4097i) q^{46} +(-0.842735 - 3.14513i) q^{47} +(6.02588 + 3.47904i) q^{48} +(-3.75679 - 5.90648i) q^{49} +(3.11404 - 11.6218i) q^{50} +(6.88178 + 3.97320i) q^{51} +(-11.6775 + 7.96668i) q^{52} +(-3.96785 - 6.87251i) q^{53} +(-7.17352 - 7.17352i) q^{54} +(0.582389 - 0.336242i) q^{55} +(11.8721 - 3.45570i) q^{56} +(-7.66035 + 7.66035i) q^{57} +(-16.6437 - 4.45968i) q^{58} +(-0.514009 + 0.514009i) q^{59} +(-0.470182 + 1.75474i) q^{60} +(1.97520 - 1.14038i) q^{61} +(2.79839 + 4.84695i) q^{62} +(2.33996 - 0.0502034i) q^{63} -8.90209i q^{64} +(-0.642644 - 0.552707i) q^{65} +(11.8806 - 6.85927i) q^{66} +(0.688941 + 2.57116i) q^{67} +15.8072i q^{68} +(-5.96230 + 10.3270i) q^{69} +(0.784667 + 1.29416i) q^{70} +(-0.362587 - 1.35319i) q^{71} +(-1.07003 + 3.99339i) q^{72} +(13.0894 + 3.50729i) q^{73} -25.2881 q^{74} +9.74580 q^{75} +(-20.8158 - 5.57758i) q^{76} +(1.80156 - 7.35072i) q^{77} +(-13.1098 - 11.2751i) q^{78} +(-1.91392 + 3.31501i) q^{79} +(-0.801666 + 0.214806i) q^{80} +(5.43566 - 9.41483i) q^{81} +(-0.335380 - 0.580895i) q^{82} +(4.19588 + 4.19588i) q^{83} +(10.5999 + 17.4824i) q^{84} +(-0.915533 + 0.245316i) q^{85} +(-10.6223 + 2.84623i) q^{86} -13.9571i q^{87} +(11.5776 + 6.68431i) q^{88} +(2.44076 - 2.44076i) q^{89} -0.506034 q^{90} +(-9.49496 + 0.919594i) q^{91} -23.7208 q^{92} +(-3.20562 + 3.20562i) q^{93} +(6.86137 + 3.96141i) q^{94} -1.29218i q^{95} +(1.44075 - 0.386047i) q^{96} +(2.61723 - 0.701285i) q^{97} +(16.6263 + 3.69869i) q^{98} +(1.78934 + 1.78934i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 28 q - 2 q^{2} - 6 q^{3} - 6 q^{5} - 12 q^{6} - 6 q^{7} - 4 q^{8} + 6 q^{9}+O(q^{10}) \) 28 * q - 2 * q^2 - 6 * q^3 - 6 * q^5 - 12 * q^6 - 6 * q^7 - 4 * q^8 + 6 * q^9	\( 28 q - 2 q^{2} - 6 q^{3} - 6 q^{5} - 12 q^{6} - 6 q^{7} - 4 q^{8} + 6 q^{9} - 6 q^{10} + 2 q^{11} - 8 q^{12} - 20 q^{14} + 10 q^{15} + 4 q^{16} - 12 q^{17} + 2 q^{18} + 14 q^{19} + 36 q^{20} - 6 q^{21} - 8 q^{22} - 18 q^{24} + 24 q^{26} + 2 q^{28} - 8 q^{29} - 30 q^{30} - 4 q^{31} + 10 q^{32} - 12 q^{33} - 12 q^{34} - 20 q^{35} + 54 q^{36} - 10 q^{37} - 20 q^{39} + 48 q^{40} - 18 q^{41} - 10 q^{42} + 48 q^{43} - 6 q^{44} - 6 q^{45} + 24 q^{46} - 6 q^{47} - 12 q^{48} - 50 q^{49} + 10 q^{50} - 12 q^{51} - 26 q^{52} + 12 q^{53} - 30 q^{54} + 6 q^{55} + 54 q^{56} + 12 q^{57} - 46 q^{58} + 42 q^{59} + 10 q^{60} + 30 q^{61} + 36 q^{62} + 54 q^{63} + 28 q^{65} + 66 q^{66} - 10 q^{67} - 42 q^{69} - 88 q^{70} - 42 q^{71} + 46 q^{72} + 40 q^{73} + 12 q^{74} - 40 q^{75} - 52 q^{76} - 62 q^{78} + 4 q^{79} + 30 q^{80} - 6 q^{81} - 54 q^{82} + 66 q^{83} + 104 q^{84} - 54 q^{85} - 18 q^{86} - 6 q^{88} + 72 q^{90} + 26 q^{91} - 156 q^{92} + 20 q^{93} - 18 q^{94} - 66 q^{96} - 62 q^{97} - 56 q^{98} - 36 q^{99}+O(q^{100}) \) 28 * q - 2 * q^2 - 6 * q^3 - 6 * q^5 - 12 * q^6 - 6 * q^7 - 4 * q^8 + 6 * q^9 - 6 * q^10 + 2 * q^11 - 8 * q^12 - 20 * q^14 + 10 * q^15 + 4 * q^16 - 12 * q^17 + 2 * q^18 + 14 * q^19 + 36 * q^20 - 6 * q^21 - 8 * q^22 - 18 * q^24 + 24 * q^26 + 2 * q^28 - 8 * q^29 - 30 * q^30 - 4 * q^31 + 10 * q^32 - 12 * q^33 - 12 * q^34 - 20 * q^35 + 54 * q^36 - 10 * q^37 - 20 * q^39 + 48 * q^40 - 18 * q^41 - 10 * q^42 + 48 * q^43 - 6 * q^44 - 6 * q^45 + 24 * q^46 - 6 * q^47 - 12 * q^48 - 50 * q^49 + 10 * q^50 - 12 * q^51 - 26 * q^52 + 12 * q^53 - 30 * q^54 + 6 * q^55 + 54 * q^56 + 12 * q^57 - 46 * q^58 + 42 * q^59 + 10 * q^60 + 30 * q^61 + 36 * q^62 + 54 * q^63 + 28 * q^65 + 66 * q^66 - 10 * q^67 - 42 * q^69 - 88 * q^70 - 42 * q^71 + 46 * q^72 + 40 * q^73 + 12 * q^74 - 40 * q^75 - 52 * q^76 - 62 * q^78 + 4 * q^79 + 30 * q^80 - 6 * q^81 - 54 * q^82 + 66 * q^83 + 104 * q^84 - 54 * q^85 - 18 * q^86 - 6 * q^88 + 72 * q^90 + 26 * q^91 - 156 * q^92 + 20 * q^93 - 18 * q^94 - 66 * q^96 - 62 * q^97 - 56 * q^98 - 36 * q^99

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