LMFDB - Embedded newform 322.2.i.a.197.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [322,2,Mod(29,322)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(322, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 18]))

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

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

chi := DirichletCharacter("322.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 322 = 2 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	322.i (of order $11$, degree $10$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.57118294509$
Analytic rank:	$0$
Dimension:	$10$
Coefficient field:	$\Q(\zeta_{22})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 $ x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
Coefficient ring:	$\Z[a_1, a_2]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			197.1
Root			$-0.841254 + 0.540641i$ of defining polynomial
Character	$\chi$	$=$	322.197
Dual form			322.2.i.a.85.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.654861 + 0.755750i) q^{2} +(1.54019 + 0.989821i) q^{3} +(-0.142315 + 0.989821i) q^{4} +(-0.570276 + 1.24873i) q^{5} +(0.260554 + 1.81219i) q^{6} +(0.959493 + 0.281733i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(0.146201 + 0.320135i) q^{9} +O(q^{10})$	\(q+(0.654861 + 0.755750i) q^{2} +(1.54019 + 0.989821i) q^{3} +(-0.142315 + 0.989821i) q^{4} +(-0.570276 + 1.24873i) q^{5} +(0.260554 + 1.81219i) q^{6} +(0.959493 + 0.281733i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(0.146201 + 0.320135i) q^{9} +(-1.31718 + 0.386758i) q^{10} +(-0.889217 + 1.02621i) q^{11} +(-1.19894 + 1.38365i) q^{12} +(1.98357 - 0.582428i) q^{13} +(0.415415 + 0.909632i) q^{14} +(-2.11435 + 1.35881i) q^{15} +(-0.959493 - 0.281733i) q^{16} +(-0.380916 - 2.64933i) q^{17} +(-0.146201 + 0.320135i) q^{18} +(-0.297176 + 2.06690i) q^{19} +(-1.15486 - 0.742184i) q^{20} +(1.19894 + 1.38365i) q^{21} -1.35787 q^{22} +(-2.22381 - 4.24908i) q^{23} -1.83083 q^{24} +(2.04019 + 2.35451i) q^{25} +(1.73913 + 1.11767i) q^{26} +(0.689964 - 4.79880i) q^{27} +(-0.415415 + 0.909632i) q^{28} +(0.204947 + 1.42544i) q^{29} +(-2.41153 - 0.708089i) q^{30} +(3.10149 - 1.99321i) q^{31} +(-0.415415 - 0.909632i) q^{32} +(-2.38533 + 0.700397i) q^{33} +(1.75278 - 2.02282i) q^{34} +(-0.898983 + 1.03748i) q^{35} +(-0.337683 + 0.0991526i) q^{36} +(0.235275 + 0.515181i) q^{37} +(-1.75667 + 1.12894i) q^{38} +(3.63158 + 1.06633i) q^{39} +(-0.195368 - 1.35881i) q^{40} +(3.37010 - 7.37950i) q^{41} +(-0.260554 + 1.81219i) q^{42} +(1.31604 + 0.845770i) q^{43} +(-0.889217 - 1.02621i) q^{44} -0.483136 q^{45} +(1.75496 - 4.46320i) q^{46} -4.01650 q^{47} +(-1.19894 - 1.38365i) q^{48} +(0.841254 + 0.540641i) q^{49} +(-0.443376 + 3.08375i) q^{50} +(2.03568 - 4.45752i) q^{51} +(0.294209 + 2.04627i) q^{52} +(-2.46584 - 0.724037i) q^{53} +(4.07852 - 2.62111i) q^{54} +(-0.774362 - 1.69562i) q^{55} +(-0.959493 + 0.281733i) q^{56} +(-2.50357 + 2.88927i) q^{57} +(-0.943061 + 1.08835i) q^{58} +(1.55384 - 0.456250i) q^{59} +(-1.04408 - 2.28621i) q^{60} +(-5.20870 + 3.34743i) q^{61} +(3.53741 + 1.03868i) q^{62} +(0.0500861 + 0.348356i) q^{63} +(0.415415 - 0.909632i) q^{64} +(-0.403886 + 2.80909i) q^{65} +(-2.09138 - 1.34405i) q^{66} +(4.32409 + 4.99027i) q^{67} +2.67657 q^{68} +(0.780744 - 8.74557i) q^{69} -1.37279 q^{70} +(3.38398 + 3.90532i) q^{71} +(-0.296070 - 0.190272i) q^{72} +(1.50578 - 10.4730i) q^{73} +(-0.235275 + 0.515181i) q^{74} +(0.811746 + 5.64582i) q^{75} +(-2.00357 - 0.588302i) q^{76} +(-1.14231 + 0.734121i) q^{77} +(1.57230 + 3.44286i) q^{78} +(-6.74854 + 1.98155i) q^{79} +(0.898983 - 1.03748i) q^{80} +(6.50405 - 7.50607i) q^{81} +(7.78400 - 2.28559i) q^{82} +(0.319071 + 0.698667i) q^{83} +(-1.54019 + 0.989821i) q^{84} +(3.52552 + 1.03519i) q^{85} +(0.222635 + 1.54846i) q^{86} +(-1.09527 + 2.39831i) q^{87} +(0.193245 - 1.34405i) q^{88} +(-8.57960 - 5.51378i) q^{89} +(-0.316387 - 0.365130i) q^{90} +2.06731 q^{91} +(4.52231 - 1.59646i) q^{92} +6.74982 q^{93} +(-2.63025 - 3.03546i) q^{94} +(-2.41153 - 1.54980i) q^{95} +(0.260554 - 1.81219i) q^{96} +(6.53751 - 14.3152i) q^{97} +(0.142315 + 0.989821i) q^{98} +(-0.458530 - 0.134637i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 10 q + q^{2} - 3 q^{3} - q^{4} + 5 q^{5} + 3 q^{6} + q^{7} + q^{8} + 16 q^{9}+O(q^{10}) $ 10 * q + q^2 - 3 * q^3 - q^4 + 5 * q^5 + 3 * q^6 + q^7 + q^8 + 16 * q^9	\( 10 q + q^{2} - 3 q^{3} - q^{4} + 5 q^{5} + 3 q^{6} + q^{7} + q^{8} + 16 q^{9} - 5 q^{10} - 11 q^{11} - 3 q^{12} + 10 q^{13} - q^{14} - 7 q^{15} - q^{16} + q^{17} - 16 q^{18} + 3 q^{19} - 6 q^{20} + 3 q^{21} + 12 q^{23} - 8 q^{24} + 2 q^{25} - 10 q^{26} - 9 q^{27} + q^{28} + 2 q^{29} - 4 q^{30} - 5 q^{31} + q^{32} - 11 q^{33} - 12 q^{34} + 6 q^{35} - 6 q^{36} + 27 q^{37} - 3 q^{38} + 8 q^{39} - 5 q^{40} - 12 q^{41} - 3 q^{42} + 38 q^{43} - 11 q^{44} + 8 q^{45} + 10 q^{46} + 2 q^{47} - 3 q^{48} - q^{49} - 13 q^{50} + 36 q^{51} - q^{52} - 16 q^{53} + 9 q^{54} - 11 q^{55} - q^{56} - 13 q^{57} + 9 q^{58} - 5 q^{59} - 7 q^{60} - 26 q^{61} + 5 q^{62} + 6 q^{63} - q^{64} + 5 q^{65} - 11 q^{66} - 4 q^{67} + 12 q^{68} - 8 q^{69} - 6 q^{70} + q^{71} + 6 q^{72} + 9 q^{73} - 27 q^{74} + 17 q^{75} - 8 q^{76} - 11 q^{77} + 25 q^{78} - 50 q^{79} - 6 q^{80} + 2 q^{81} + 23 q^{82} - 29 q^{83} + 3 q^{84} + 28 q^{85} + 17 q^{86} - 16 q^{87} + 11 q^{88} + 7 q^{89} - 19 q^{90} + 12 q^{91} + 23 q^{92} + 40 q^{93} + 20 q^{94} - 4 q^{95} + 3 q^{96} + 12 q^{97} + q^{98} - 33 q^{99}+O(q^{100}) \) 10 * q + q^2 - 3 * q^3 - q^4 + 5 * q^5 + 3 * q^6 + q^7 + q^8 + 16 * q^9 - 5 * q^10 - 11 * q^11 - 3 * q^12 + 10 * q^13 - q^14 - 7 * q^15 - q^16 + q^17 - 16 * q^18 + 3 * q^19 - 6 * q^20 + 3 * q^21 + 12 * q^23 - 8 * q^24 + 2 * q^25 - 10 * q^26 - 9 * q^27 + q^28 + 2 * q^29 - 4 * q^30 - 5 * q^31 + q^32 - 11 * q^33 - 12 * q^34 + 6 * q^35 - 6 * q^36 + 27 * q^37 - 3 * q^38 + 8 * q^39 - 5 * q^40 - 12 * q^41 - 3 * q^42 + 38 * q^43 - 11 * q^44 + 8 * q^45 + 10 * q^46 + 2 * q^47 - 3 * q^48 - q^49 - 13 * q^50 + 36 * q^51 - q^52 - 16 * q^53 + 9 * q^54 - 11 * q^55 - q^56 - 13 * q^57 + 9 * q^58 - 5 * q^59 - 7 * q^60 - 26 * q^61 + 5 * q^62 + 6 * q^63 - q^64 + 5 * q^65 - 11 * q^66 - 4 * q^67 + 12 * q^68 - 8 * q^69 - 6 * q^70 + q^71 + 6 * q^72 + 9 * q^73 - 27 * q^74 + 17 * q^75 - 8 * q^76 - 11 * q^77 + 25 * q^78 - 50 * q^79 - 6 * q^80 + 2 * q^81 + 23 * q^82 - 29 * q^83 + 3 * q^84 + 28 * q^85 + 17 * q^86 - 16 * q^87 + 11 * q^88 + 7 * q^89 - 19 * q^90 + 12 * q^91 + 23 * q^92 + 40 * q^93 + 20 * q^94 - 4 * q^95 + 3 * q^96 + 12 * q^97 + q^98 - 33 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/322\mathbb{Z}\right)^\times$.

$n$	$185$	$281$
$\chi(n)$	$1$	$e\left(\frac{7}{11}\right)$

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 $

$2$	0.654861	+	0.755750i	0.463056	+	0.534396i
$2$	0.654861	+	0.755750i	0.463056	+	0.534396i
$3$	1.54019	+	0.989821i	0.889230	+	0.571474i	0.903578	−	0.428423i	$-0.140931\pi$
$3$	1.54019	+	0.989821i	0.889230	+	0.571474i	−0.0143477	+	0.999897i	$0.504567\pi$
$4$	−0.142315	+	0.989821i	−0.0711574	+	0.494911i
$5$	−0.570276	+	1.24873i	−0.255035	+	0.558449i	−0.993233	−	0.116135i	$-0.962950\pi$
$5$	−0.570276	+	1.24873i	−0.255035	+	0.558449i	0.738198	+	0.674584i	$0.235677\pi$
$6$	0.260554	+	1.81219i	0.106371	+	0.739825i
$7$	0.959493	+	0.281733i	0.362654	+	0.106485i
$7$	0.959493	+	0.281733i	0.362654	+	0.106485i
$8$	−0.841254	+	0.540641i	−0.297428	+	0.191145i
$9$	0.146201	+	0.320135i	0.0487335	+	0.106712i
$10$	−1.31718	+	0.386758i	−0.416528	+	0.122304i
$11$	−0.889217	+	1.02621i	−0.268109	+	0.309414i	−0.873800	−	0.486286i	$-0.838351\pi$
$11$	−0.889217	+	1.02621i	−0.268109	+	0.309414i	0.605691	+	0.795700i	$0.292897\pi$
$12$	−1.19894	+	1.38365i	−0.346104	+	0.399425i
$13$	1.98357	−	0.582428i	0.550143	−	0.161537i	0.00516457	−	0.999987i	$-0.498356\pi$
$13$	1.98357	−	0.582428i	0.550143	−	0.161537i	0.544978	+	0.838450i	$0.316538\pi$
$14$	0.415415	+	0.909632i	0.111024	+	0.243109i
$15$	−2.11435	+	1.35881i	−0.545924	+	0.350844i
$16$	−0.959493	−	0.281733i	−0.239873	−	0.0704331i
$17$	−0.380916	−	2.64933i	−0.0923857	−	0.642557i	−0.982423	−	0.186669i	$-0.940231\pi$
$17$	−0.380916	−	2.64933i	−0.0923857	−	0.642557i	0.890037	−	0.455888i	$-0.150678\pi$
$18$	−0.146201	+	0.320135i	−0.0344598	+	0.0754564i
$19$	−0.297176	+	2.06690i	−0.0681768	+	0.474180i	0.926919	+	0.375262i	$0.122447\pi$
$19$	−0.297176	+	2.06690i	−0.0681768	+	0.474180i	−0.995096	+	0.0989179i	$0.968462\pi$
$20$	−1.15486	−	0.742184i	−0.258235	−	0.165957i
$21$	1.19894	+	1.38365i	0.261630	+	0.301937i
$22$	−1.35787			−0.289499
$23$	−2.22381	−	4.24908i	−0.463695	−	0.885995i
$23$	−2.22381	−	4.24908i	−0.463695	−	0.885995i
$24$	−1.83083			−0.373717
$25$	2.04019	+	2.35451i	0.408038	+	0.470901i
$26$	1.73913	+	1.11767i	0.341072	+	0.219193i
$27$	0.689964	−	4.79880i	0.132784	−	0.923530i
$28$	−0.415415	+	0.909632i	−0.0785061	+	0.171904i
$29$	0.204947	+	1.42544i	0.0380577	+	0.264697i	0.999962	−	0.00868848i	$-0.00276567\pi$
$29$	0.204947	+	1.42544i	0.0380577	+	0.264697i	−0.961905	+	0.273385i	$0.911857\pi$
$30$	−2.41153	−	0.708089i	−0.440283	−	0.129279i
$31$	3.10149	−	1.99321i	0.557045	−	0.357991i	−0.231628	−	0.972804i	$-0.574405\pi$
$31$	3.10149	−	1.99321i	0.557045	−	0.357991i	0.788672	+	0.614814i	$0.210769\pi$
$32$	−0.415415	−	0.909632i	−0.0734357	−	0.160802i
$33$	−2.38533	+	0.700397i	−0.415233	+	0.121923i
$34$	1.75278	−	2.02282i	0.300600	−	0.346911i
$35$	−0.898983	+	1.03748i	−0.151956	+	0.175366i
$36$	−0.337683	+	0.0991526i	−0.0562804	+	0.0165254i
$37$	0.235275	+	0.515181i	0.0386790	+	0.0846953i	0.927985	−	0.372617i	$-0.121539\pi$
$37$	0.235275	+	0.515181i	0.0386790	+	0.0846953i	−0.889306	+	0.457312i	$0.848812\pi$
$38$	−1.75667	+	1.12894i	−0.284969	+	0.183139i
$39$	3.63158	+	1.06633i	0.581518	+	0.170749i
$40$	−0.195368	−	1.35881i	−0.0308904	−	0.214847i
$41$	3.37010	−	7.37950i	0.526322	−	1.15248i	−0.440668	−	0.897670i	$-0.645259\pi$
$41$	3.37010	−	7.37950i	0.526322	−	1.15248i	0.966990	−	0.254814i	$-0.0820142\pi$
$42$	−0.260554	+	1.81219i	−0.0402044	+	0.279628i
$43$	1.31604	+	0.845770i	0.200695	+	0.128979i	0.637128	−	0.770758i	$-0.280122\pi$
$43$	1.31604	+	0.845770i	0.200695	+	0.128979i	−0.436433	+	0.899737i	$0.643759\pi$
$44$	−0.889217	−	1.02621i	−0.134055	−	0.154707i
$45$	−0.483136			−0.0720217
$46$	1.75496	−	4.46320i	0.258755	−	0.658062i
$47$	−4.01650			−0.585866			−0.292933	−	0.956133i	$-0.594631\pi$
$47$	−4.01650			−0.585866			−0.292933	+	0.956133i	$0.594631\pi$
$48$	−1.19894	−	1.38365i	−0.173052	−	0.199713i
$49$	0.841254	+	0.540641i	0.120179	+	0.0772344i
$50$	−0.443376	+	3.08375i	−0.0627029	+	0.436108i
$51$	2.03568	−	4.45752i	0.285052	−	0.624177i
$52$	0.294209	+	2.04627i	0.0407994	+	0.283766i
$53$	−2.46584	−	0.724037i	−0.338710	−	0.0994541i	0.107954	−	0.994156i	$-0.465570\pi$
$53$	−2.46584	−	0.724037i	−0.338710	−	0.0994541i	−0.446664	+	0.894702i	$0.647388\pi$
$54$	4.07852	−	2.62111i	0.555017	−	0.356688i
$55$	−0.774362	−	1.69562i	−0.104415	−	0.228637i
$56$	−0.959493	+	0.281733i	−0.128218	+	0.0376481i
$57$	−2.50357	+	2.88927i	−0.331606	+	0.382694i
$58$	−0.943061	+	1.08835i	−0.123830	+	0.142907i
$59$	1.55384	−	0.456250i	0.202293	−	0.0593987i	−0.179016	−	0.983846i	$-0.557291\pi$
$59$	1.55384	−	0.456250i	0.202293	−	0.0593987i	0.381309	+	0.924447i	$0.375473\pi$
$60$	−1.04408	−	2.28621i	−0.134790	−	0.295149i
$61$	−5.20870	+	3.34743i	−0.666906	+	0.428595i	−0.829809	−	0.558047i	$-0.811551\pi$
$61$	−5.20870	+	3.34743i	−0.666906	+	0.428595i	0.162903	+	0.986642i	$0.447914\pi$
$62$	3.53741	+	1.03868i	0.449252	+	0.131912i
$63$	0.0500861	+	0.348356i	0.00631025	+	0.0438888i
$64$	0.415415	−	0.909632i	0.0519269	−	0.113704i
$65$	−0.403886	+	2.80909i	−0.0500958	+	0.348424i
$66$	−2.09138	−	1.34405i	−0.257432	−	0.165441i
$67$	4.32409	+	4.99027i	0.528272	+	0.609659i	0.955683	−	0.294399i	$-0.0951195\pi$
$67$	4.32409	+	4.99027i	0.528272	+	0.609659i	−0.427410	+	0.904058i	$0.640574\pi$
$68$	2.67657			0.324582
$69$	0.780744	−	8.74557i	0.0939905	−	1.05284i
$70$	−1.37279			−0.164079
$71$	3.38398	+	3.90532i	0.401605	+	0.463476i	0.920146	−	0.391576i	$-0.128070\pi$
$71$	3.38398	+	3.90532i	0.401605	+	0.463476i	−0.518541	+	0.855053i	$0.673525\pi$
$72$	−0.296070	−	0.190272i	−0.0348921	−	0.0224238i
$73$	1.50578	−	10.4730i	0.176239	−	1.22577i	−0.689133	−	0.724635i	$-0.742008\pi$
$73$	1.50578	−	10.4730i	0.176239	−	1.22577i	0.865371	−	0.501131i	$-0.167083\pi$
$74$	−0.235275	+	0.515181i	−0.0273502	+	0.0598886i
$75$	0.811746	+	5.64582i	0.0937324	+	0.651923i
$76$	−2.00357	−	0.588302i	−0.229825	−	0.0674828i
$77$	−1.14231	+	0.734121i	−0.130179	+	0.0836609i
$78$	1.57230	+	3.44286i	0.178028	+	0.389827i
$79$	−6.74854	+	1.98155i	−0.759270	+	0.222942i	−0.638377	−	0.769724i	$-0.720394\pi$
$79$	−6.74854	+	1.98155i	−0.759270	+	0.222942i	−0.120893	+	0.992666i	$0.538576\pi$
$80$	0.898983	−	1.03748i	0.100509	−	0.115994i
$81$	6.50405	−	7.50607i	0.722672	−	0.834008i
$82$	7.78400	−	2.28559i	0.859599	−	0.252401i
$83$	0.319071	+	0.698667i	0.0350226	+	0.0766887i	0.926335	−	0.376701i	$-0.122942\pi$
$83$	0.319071	+	0.698667i	0.0350226	+	0.0766887i	−0.891312	+	0.453390i	$0.850214\pi$
$84$	−1.54019	+	0.989821i	−0.168049	+	0.107998i
$85$	3.52552	+	1.03519i	0.382397	+	0.112282i
$86$	0.222635	+	1.54846i	0.0240074	+	0.166975i
$87$	−1.09527	+	2.39831i	−0.117425	+	0.257125i
$88$	0.193245	−	1.34405i	0.0206000	−	0.143276i
$89$	−8.57960	−	5.51378i	−0.909436	−	0.584459i	0.000138313	−	1.00000i	$-0.499956\pi$
$89$	−8.57960	−	5.51378i	−0.909436	−	0.584459i	−0.909575	+	0.415541i	$0.863592\pi$
$90$	−0.316387	−	0.365130i	−0.0333501	−	0.0384881i
$91$	2.06731			0.216713
$92$	4.52231	−	1.59646i	0.471484	−	0.166443i
$93$	6.74982			0.699923
$94$	−2.63025	−	3.03546i	−0.271289	−	0.313084i
$95$	−2.41153	−	1.54980i	−0.247418	−	0.159006i
$96$	0.260554	−	1.81219i	0.0265927	−	0.184956i
$97$	6.53751	−	14.3152i	0.663784	−	1.45348i	−0.215169	−	0.976577i	$-0.569030\pi$
$97$	6.53751	−	14.3152i	0.663784	−	1.45348i	0.878953	−	0.476908i	$-0.158242\pi$
$98$	0.142315	+	0.989821i	0.0143760	+	0.0999871i
$99$	−0.458530	−	0.134637i	−0.0460840	−	0.0135315i
$100$	−2.62089	+	1.68434i	−0.262089	+	0.168434i
$101$	−6.67796	−	14.6227i	−0.664482	−	1.45501i	−0.878286	−	0.478136i	$-0.841313\pi$
$101$	−6.67796	−	14.6227i	−0.664482	−	1.45501i	0.213804	−	0.976877i	$-0.431415\pi$
$102$	4.70185	−	1.38059i	0.465553	−	0.136699i
$103$	−6.33275	+	7.30839i	−0.623985	+	0.720117i	−0.976459	−	0.215705i	$-0.930795\pi$
$103$	−6.33275	+	7.30839i	−0.623985	+	0.720117i	0.352474	+	0.935822i	$0.385341\pi$
$104$	−1.35380	+	1.56237i	−0.132751	+	0.153203i
$105$	−2.41153	+	0.708089i	−0.235341	+	0.0691024i
$106$	−1.06759	−	2.33770i	−0.103694	−	0.227058i
$107$	−6.76271	+	4.34613i	−0.653776	+	0.420156i	−0.825044	−	0.565068i	$-0.808850\pi$
$107$	−6.76271	+	4.34613i	−0.653776	+	0.420156i	0.171268	+	0.985224i	$0.445214\pi$
$108$	4.65177	+	1.36588i	0.447616	+	0.131432i
$109$	−0.357583	−	2.48704i	−0.0342502	−	0.238216i	0.965504	−	0.260389i	$-0.0838507\pi$
$109$	−0.357583	−	2.48704i	−0.0342502	−	0.238216i	−0.999754	+	0.0221729i	$0.992942\pi$
$110$	0.774362	−	1.69562i	0.0738325	−	0.161671i
$111$	−0.147568	+	1.02636i	−0.0140065	+	0.0974177i
$112$	−0.841254	−	0.540641i	−0.0794910	−	0.0510858i
$113$	3.22905	+	3.72652i	0.303763	+	0.350562i	0.887024	−	0.461723i	$-0.152769\pi$
$113$	3.22905	+	3.72652i	0.303763	+	0.350562i	−0.583260	+	0.812285i	$0.698223\pi$
$114$	−3.82306			−0.358062
$115$	6.57414	−	0.353784i	0.613041	−	0.0329905i
$116$	−1.44009			−0.133709
$117$	0.476454	+	0.549858i	0.0440482	+	0.0508343i
$118$	1.36236	+	0.875537i	0.125416	+	0.0805997i
$119$	0.380916	−	2.64933i	0.0349185	−	0.242864i
$120$	1.04408	−	2.28621i	0.0953108	−	0.208702i
$121$	1.30306	+	9.06299i	0.118460	+	0.823908i
$122$	−5.94080	−	1.74438i	−0.537854	−	0.157928i
$123$	12.4950	−	8.03004i	1.12664	−	0.724045i
$124$	1.53153	+	3.35359i	0.137536	+	0.301161i
$125$	−10.6895	+	3.13872i	−0.956098	+	0.280736i
$126$	−0.230471	+	0.265977i	−0.0205320	+	0.0236952i
$127$	−13.1309	+	15.1538i	−1.16518	+	1.34468i	−0.237459	+	0.971398i	$0.576314\pi$
$127$	−13.1309	+	15.1538i	−1.16518	+	1.34468i	−0.927716	+	0.373286i	$0.878231\pi$
$128$	0.959493	−	0.281733i	0.0848080	−	0.0249019i
$129$	1.18980	+	2.60530i	0.104756	+	0.229384i
$130$	−2.38745	+	1.53432i	−0.209394	+	0.134569i
$131$	8.78238	+	2.57874i	0.767320	+	0.225306i	0.641890	−	0.766797i	$-0.278151\pi$
$131$	8.78238	+	2.57874i	0.767320	+	0.225306i	0.125430	+	0.992102i	$0.459969\pi$
$132$	−0.353799	−	2.46073i	−0.0307943	−	0.214179i
$133$	−0.867451	+	1.89945i	−0.0752176	+	0.164704i
$134$	−0.939716	+	6.53587i	−0.0811791	+	0.564613i
$135$	5.59894	+	3.59822i	0.481880	+	0.309685i
$136$	1.75278	+	2.02282i	0.150300	+	0.173455i
$137$	−18.7184			−1.59922			−0.799609	−	0.600522i	$-0.794960\pi$
$137$	−18.7184			−1.59922			−0.799609	+	0.600522i	$0.794960\pi$
$138$	7.12074	−	5.13708i	0.606158	−	0.437298i
$139$	0.597337			0.0506654			0.0253327	−	0.999679i	$-0.491935\pi$
$139$	0.597337			0.0506654			0.0253327	+	0.999679i	$0.491935\pi$
$140$	−0.898983	−	1.03748i	−0.0759780	−	0.0876832i
$141$	−6.18618	−	3.97561i	−0.520970	−	0.334807i
$142$	−0.735409	+	5.11488i	−0.0617142	+	0.429231i
$143$	−1.16613	+	2.55347i	−0.0975166	+	0.213532i
$144$	−0.0500861	−	0.348356i	−0.00417384	−	0.0290297i
$145$	−1.89686	−	0.556969i	−0.157526	−	0.0462537i
$146$	8.90101	−	5.72033i	0.736652	−	0.473418i
$147$	0.760554	+	1.66538i	0.0627295	+	0.137358i
$148$	−0.543421	+	0.159563i	−0.0446689	+	0.0131160i
$149$	−12.7555	+	14.7206i	−1.04497	+	1.20596i	−0.0668867	+	0.997761i	$0.521307\pi$
$149$	−12.7555	+	14.7206i	−1.04497	+	1.20596i	−0.978086	+	0.208202i	$0.933239\pi$
$150$	−3.73525	+	4.31070i	−0.304981	+	0.351967i
$151$	12.2417	−	3.59448i	0.996212	−	0.292514i	0.257311	−	0.966329i	$-0.417163\pi$
$151$	12.2417	−	3.59448i	0.996212	−	0.292514i	0.738901	+	0.673814i	$0.235345\pi$
$152$	−0.867451	−	1.89945i	−0.0703596	−	0.154066i
$153$	0.792452	−	0.509278i	0.0640659	−	0.0411727i
$154$	−1.30287	−	0.382557i	−0.104988	−	0.0308273i
$155$	0.720272	+	5.00960i	0.0578537	+	0.402381i
$156$	−1.57230	+	3.44286i	−0.125885	+	0.275649i
$157$	0.0568236	−	0.395216i	0.00453501	−	0.0315417i	−0.987428	−	0.158068i	$-0.949474\pi$
$157$	0.0568236	−	0.395216i	0.00453501	−	0.0315417i	0.991963	+	0.126526i	$0.0403827\pi$
$158$	−5.91691	−	3.80257i	−0.470724	−	0.302516i
$159$	−3.08121	−	3.55590i	−0.244356	−	0.282001i
$160$	1.37279			0.108528
$161$	−0.936621	−	4.70348i	−0.0738161	−	0.370686i
$162$	9.93195			0.780328
$163$	12.5203	+	14.4492i	0.980664	+	1.13175i	0.991276	+	0.131803i	$0.0420766\pi$
$163$	12.5203	+	14.4492i	0.980664	+	1.13175i	−0.0106118	+	0.999944i	$0.503378\pi$
$164$	6.82477	+	4.38601i	0.532925	+	0.342490i
$165$	0.485691	−	3.37805i	0.0378110	−	0.262981i
$166$	−0.319071	+	0.698667i	−0.0247647	+	0.0542271i
$167$	1.75327	+	12.1942i	0.135672	+	0.943619i	0.937975	+	0.346703i	$0.112699\pi$
$167$	1.75327	+	12.1942i	0.135672	+	0.943619i	−0.802303	+	0.596917i	$0.796392\pi$
$168$	−1.75667	−	0.515804i	−0.135530	−	0.0397952i
$169$	−7.34098	+	4.71776i	−0.564690	+	0.362904i
$170$	1.52638	+	3.34232i	0.117068	+	0.256344i
$171$	−0.705134	+	0.207046i	−0.0539229	+	0.0158332i
$172$	−1.02445	+	1.18228i	−0.0781139	+	0.0901483i
$173$	−6.43948	+	7.43156i	−0.489585	+	0.565011i	−0.945755	−	0.324882i	$-0.894676\pi$
$173$	−6.43948	+	7.43156i	−0.489585	+	0.565011i	0.456170	+	0.889893i	$0.349221\pi$
$174$	−2.52977	+	0.742807i	−0.191781	+	0.0563121i
$175$	1.29421	+	2.83392i	0.0978330	+	0.214224i
$176$	1.14231	−	0.734121i	0.0861052	−	0.0553365i
$177$	2.84482	+	0.835316i	0.213830	+	0.0627862i
$178$	−1.45141	−	10.0948i	−0.108788	−	0.756636i
$179$	−7.68500	+	16.8278i	−0.574404	+	1.25777i	0.370015	+	0.929026i	$0.379353\pi$
$179$	−7.68500	+	16.8278i	−0.574404	+	1.25777i	−0.944419	+	0.328744i	$0.893375\pi$
$180$	0.0687575	−	0.478219i	0.00512488	−	0.0356443i
$181$	10.2874	+	6.61131i	0.764656	+	0.491414i	0.863909	−	0.503648i	$-0.168009\pi$
$181$	10.2874	+	6.61131i	0.764656	+	0.491414i	−0.0992533	+	0.995062i	$0.531645\pi$
$182$	1.35380	+	1.56237i	0.100350	+	0.115810i
$183$	−11.3358			−0.837964
$184$	4.16801	+	2.37227i	0.307270	+	0.174886i
$185$	−0.777494			−0.0571625
$186$	4.42019	+	5.10117i	0.324104	+	0.374036i
$187$	3.05749	+	1.96493i	0.223586	+	0.143690i
$188$	0.571607	−	3.97561i	0.0416887	−	0.289951i
$189$	2.01399	−	4.41003i	0.146497	−	0.320783i
$190$	−0.407958	−	2.83741i	−0.0295964	−	0.205848i
$191$	−9.36289	−	2.74919i	−0.677475	−	0.198925i	−0.0751460	−	0.997173i	$-0.523942\pi$
$191$	−9.36289	−	2.74919i	−0.677475	−	0.198925i	−0.602329	+	0.798248i	$0.705760\pi$
$192$	1.54019	−	0.989821i	0.111154	−	0.0714342i
$193$	−8.90152	−	19.4916i	−0.640745	−	1.40304i	−0.899426	−	0.437074i	$-0.856015\pi$
$193$	−8.90152	−	19.4916i	−0.640745	−	1.40304i	0.258680	−	0.965963i	$-0.416712\pi$
$194$	15.0998	−	4.43371i	1.08411	−	0.318322i
$195$	−3.40255	+	3.92676i	−0.243662	+	0.281201i
$196$	−0.654861	+	0.755750i	−0.0467758	+	0.0539821i
$197$	−6.79189	+	1.99428i	−0.483902	+	0.142086i	−0.514579	−	0.857443i	$-0.672052\pi$
$197$	−6.79189	+	1.99428i	−0.483902	+	0.142086i	0.0306772	+	0.999529i	$0.490234\pi$
$198$	−0.198522	−	0.434702i	−0.0141083	−	0.0308929i
$199$	−11.5552	+	7.42606i	−0.819124	+	0.526419i	−0.881805	−	0.471614i	$-0.843671\pi$
$199$	−11.5552	+	7.42606i	−0.819124	+	0.526419i	0.0626805	+	0.998034i	$0.480035\pi$
$200$	−2.98926	−	0.877726i	−0.211373	−	0.0620646i
$201$	1.72046	+	11.9661i	0.121352	+	0.844021i
$202$	6.67796	−	14.6227i	0.469860	−	1.02885i
$203$	−0.204947	+	1.42544i	−0.0143844	+	0.100046i
$204$	4.12244	+	2.64933i	0.288628	+	0.185490i
$205$	7.29311	+	8.41670i	0.509373	+	0.587848i
$206$	−9.67038			−0.673768
$207$	1.03516	−	1.33314i	0.0719483	−	0.0926593i
$208$	−2.06731			−0.143342
$209$	−1.85682	−	2.14289i	−0.128439	−	0.148227i
$210$	−2.11435	−	1.35881i	−0.145904	−	0.0937670i
$211$	2.36944	−	16.4798i	0.163119	−	1.13452i	−0.729591	−	0.683884i	$-0.760289\pi$
$211$	2.36944	−	16.4798i	0.163119	−	1.13452i	0.892710	−	0.450632i	$-0.148801\pi$
$212$	1.06759	−	2.33770i	0.0733226	−	0.160554i
$213$	1.34641	+	9.36448i	0.0922544	+	0.641644i
$214$	−7.71322	−	2.26481i	−0.527265	−	0.154819i
$215$	−1.80665	+	1.16106i	−0.123212	+	0.0791837i
$216$	2.01399	+	4.41003i	0.137035	+	0.300065i
$217$	3.53741	−	1.03868i	0.240135	−	0.0705101i
$218$	1.64542	−	1.89891i	0.111442	−	0.128610i
$219$	12.6855	−	14.6399i	0.857210	−	0.989273i
$220$	1.78856	−	0.525168i	0.120585	−	0.0354069i
$221$	−2.29862	−	5.03327i	−0.154622	−	0.338574i
$222$	−0.872307	+	0.560598i	−0.0585454	+	0.0376248i
$223$	8.66512	+	2.54431i	0.580259	+	0.170379i	0.558674	−	0.829388i	$-0.311310\pi$
$223$	8.66512	+	2.54431i	0.580259	+	0.170379i	0.0215855	+	0.999767i	$0.493129\pi$
$224$	−0.142315	−	0.989821i	−0.00950881	−	0.0661352i
$225$	−0.455482	+	0.997366i	−0.0303655	+	0.0664911i
$226$	−0.701740	+	4.88071i	−0.0466790	+	0.324660i
$227$	10.6629	+	6.85265i	0.707724	+	0.454827i	0.844347	−	0.535796i	$-0.179989\pi$
$227$	10.6629	+	6.85265i	0.707724	+	0.454827i	−0.136623	+	0.990623i	$0.543625\pi$
$228$	−2.50357	−	2.88927i	−0.165803	−	0.191347i
$229$	−15.9839			−1.05625			−0.528123	−	0.849168i	$-0.677104\pi$
$229$	−15.9839			−1.05625			−0.528123	+	0.849168i	$0.677104\pi$
$230$	4.57252	+	4.73672i	0.301503	+	0.312330i
$231$	−2.48603			−0.163569
$232$	−0.943061	−	1.08835i	−0.0619150	−	0.0714537i
$233$	12.9450	+	8.31923i	0.848054	+	0.545011i	0.890967	−	0.454068i	$-0.150028\pi$
$233$	12.9450	+	8.31923i	0.848054	+	0.545011i	−0.0429134	+	0.999079i	$0.513664\pi$
$234$	−0.103543	+	0.720160i	−0.00676884	+	0.0470783i
$235$	2.29051	−	5.01552i	0.149416	−	0.327176i
$236$	0.230471	+	1.60296i	0.0150024	+	0.104344i
$237$	−12.3554	−	3.62788i	−0.802571	−	0.235656i
$238$	2.25168	−	1.44706i	0.145955	−	0.0937993i
$239$	−2.51427	−	5.50548i	−0.162635	−	0.356120i	0.810717	−	0.585438i	$-0.199078\pi$
$239$	−2.51427	−	5.50548i	−0.162635	−	0.356120i	−0.973351	+	0.229318i	$0.926350\pi$
$240$	2.41153	−	0.708089i	0.155664	−	0.0457069i
$241$	15.1525	−	17.4869i	0.976056	−	1.12643i	−0.0159033	−	0.999874i	$-0.505062\pi$
$241$	15.1525	−	17.4869i	0.976056	−	1.12643i	0.991960	−	0.126555i	$-0.0403922\pi$
$242$	−5.99602	+	6.91978i	−0.385439	+	0.444820i
$243$	3.49185	−	1.02530i	0.224003	−	0.0657731i
$244$	−2.57208	−	5.63208i	−0.164661	−	0.360557i
$245$	−1.15486	+	0.742184i	−0.0737813	+	0.0474164i
$246$	14.2512	+	4.18452i	0.908622	+	0.266796i
$247$	0.614354	+	4.27292i	0.0390904	+	0.271880i
$248$	−1.53153	+	3.35359i	−0.0972524	+	0.212953i
$249$	−0.200126	+	1.39190i	−0.0126825	+	0.0882084i
$250$	−9.37223	−	6.02316i	−0.592752	−	0.380938i
$251$	−4.88525	−	5.63788i	−0.308354	−	0.355860i	0.580328	−	0.814383i	$-0.302924\pi$
$251$	−4.88525	−	5.63788i	−0.308354	−	0.355860i	−0.888683	+	0.458523i	$0.848379\pi$
$252$	−0.351939			−0.0221700
$253$	6.33790	+	1.49626i	0.398460	+	0.0940692i
$254$	−20.0514			−1.25813
$255$	4.40533	+	5.08403i	0.275873	+	0.318374i
$256$	0.841254	+	0.540641i	0.0525783	+	0.0337901i
$257$	1.13820	−	7.91636i	0.0709990	−	0.493809i	−0.923033	−	0.384721i	$-0.874298\pi$
$257$	1.13820	−	7.91636i	0.0709990	−	0.493809i	0.994032	−	0.109088i	$-0.0347931\pi$
$258$	−1.18980	+	2.60530i	−0.0740737	+	0.162199i
$259$	0.0806018	+	0.560598i	0.00500835	+	0.0348338i
$260$	−2.72301	−	0.799549i	−0.168874	−	0.0495859i
$261$	−0.426368	+	0.274010i	−0.0263915	+	0.0169608i
$262$	3.80235	+	8.32599i	0.234910	+	0.514382i
$263$	4.43259	−	1.30153i	0.273325	−	0.0802555i	−0.142198	−	0.989838i	$-0.545417\pi$
$263$	4.43259	−	1.30153i	0.273325	−	0.0802555i	0.415523	+	0.909583i	$0.363599\pi$
$264$	1.62801	−	1.87882i	0.100197	−	0.115633i
$265$	2.31034	−	2.66627i	0.141923	−	0.163788i
$266$	−2.00357	+	0.588302i	−0.122847	+	0.0360711i
$267$	−7.75659	−	16.9846i	−0.474695	−	1.03944i
$268$	−5.55486	+	3.56989i	−0.339317	+	0.218066i
$269$	−6.23460	−	1.83064i	−0.380130	−	0.111616i	0.0860847	−	0.996288i	$-0.472564\pi$
$269$	−6.23460	−	1.83064i	−0.380130	−	0.111616i	−0.466215	+	0.884672i	$0.654383\pi$
$270$	0.947172	+	6.58773i	0.0576431	+	0.400916i
$271$	−5.18581	+	11.3553i	−0.315016	+	0.689788i	−0.999219	−	0.0395028i	$-0.987423\pi$
$271$	−5.18581	+	11.3553i	−0.315016	+	0.689788i	0.684204	+	0.729291i	$0.260150\pi$
$272$	−0.380916	+	2.64933i	−0.0230964	+	0.160639i
$273$	3.18405	+	2.04627i	0.192708	+	0.123846i
$274$	−12.2579	−	14.1464i	−0.740528	−	0.854615i
$275$	−4.23040			−0.255102
$276$	8.54544	+	2.01742i	0.514375	+	0.121435i
$277$	12.4590			0.748590			0.374295	−	0.927310i	$-0.377885\pi$
$277$	12.4590			0.748590			0.374295	+	0.927310i	$0.377885\pi$
$278$	0.391172	+	0.451437i	0.0234610	+	0.0270754i
$279$	1.09154	+	0.701487i	0.0653485	+	0.0419969i
$280$	0.195368	−	1.35881i	0.0116755	−	0.0812046i
$281$	5.73253	−	12.5525i	0.341974	−	0.748819i	−0.658017	−	0.753003i	$-0.728605\pi$
$281$	5.73253	−	12.5525i	0.341974	−	0.748819i	0.999991	+	0.00418397i	$0.00133180\pi$
$282$	−1.04652	−	7.27867i	−0.0623191	−	0.433439i
$283$	23.7600	+	6.97657i	1.41239	+	0.414714i	0.896919	−	0.442195i	$-0.145800\pi$
$283$	23.7600	+	6.97657i	1.41239	+	0.414714i	0.515467	+	0.856909i	$0.327618\pi$
$284$	−4.34716	+	2.79375i	−0.257957	+	0.165779i
$285$	−2.18020	−	4.77397i	−0.129144	−	0.282785i
$286$	−2.69343	+	0.790863i	−0.159266	+	0.0467647i
$287$	5.31264	−	6.13111i	0.313595	−	0.361908i
$288$	0.230471	−	0.265977i	0.0135806	−	0.0156729i
$289$	9.43753	−	2.77111i	0.555149	−	0.163006i
$290$	−0.821251	−	1.79829i	−0.0482255	−	0.105599i
$291$	24.2385	−	15.5771i	1.42088	−	0.913147i
$292$	10.1521	+	2.98091i	0.594104	+	0.174445i
$293$	−0.248042	−	1.72517i	−0.0144908	−	0.100786i	0.981292	−	0.192523i	$-0.0616670\pi$
$293$	−0.248042	−	1.72517i	−0.0144908	−	0.100786i	−0.995783	+	0.0917375i	$0.970758\pi$
$294$	−0.760554	+	1.66538i	−0.0443564	+	0.0971270i
$295$	−0.316387	+	2.20052i	−0.0184208	+	0.128119i
$296$	−0.476454	−	0.306199i	−0.0276933	−	0.0177974i
$297$	4.31106	+	4.97523i	0.250153	+	0.288692i
$298$	−19.4782			−1.12834
$299$	−6.88585	−	7.13314i	−0.398219	−	0.412520i
$300$	−5.70388			−0.329314
$301$	1.02445	+	1.18228i	0.0590486	+	0.0681457i
$302$	10.7331	+	6.89775i	0.617621	+	0.396921i
$303$	4.18851	−	29.1317i	0.240624	−	1.67358i
$304$	0.867451	−	1.89945i	0.0497517	−	0.108941i
$305$	−1.20964	−	8.41322i	−0.0692637	−	0.481740i
$306$	0.903832	+	0.265389i	0.0516687	+	0.0151713i
$307$	5.12521	−	3.29377i	0.292511	−	0.187986i	−0.386152	−	0.922435i	$-0.626196\pi$
$307$	5.12521	−	3.29377i	0.292511	−	0.187986i	0.678663	+	0.734450i	$0.262560\pi$
$308$	−0.564081	−	1.23516i	−0.0321415	−	0.0703800i
$309$	−16.9877	+	4.98803i	−0.966394	+	0.283759i
$310$	−3.31433	+	3.82494i	−0.188241	+	0.217242i
$311$	−3.84592	+	4.43843i	−0.218082	+	0.251680i	−0.854240	−	0.519879i	$-0.825977\pi$
$311$	−3.84592	+	4.43843i	−0.218082	+	0.251680i	0.636158	+	0.771559i	$0.280523\pi$
$312$	−3.63158	+	1.06633i	−0.205598	+	0.0603689i
$313$	−6.73416	−	14.7458i	−0.380637	−	0.833480i	−0.998872	−	0.0474860i	$-0.984879\pi$
$313$	−6.73416	−	14.7458i	−0.380637	−	0.833480i	0.618234	−	0.785994i	$-0.287848\pi$
$314$	0.335896	−	0.215867i	0.0189557	−	0.0121821i
$315$	−0.463566	−	0.136115i	−0.0261190	−	0.00766922i
$316$	−1.00096	−	6.96185i	−0.0563086	−	0.391635i
$317$	2.74041	−	6.00066i	0.153917	−	0.337031i	−0.816928	−	0.576740i	$-0.804325\pi$
$317$	2.74041	−	6.00066i	0.153917	−	0.337031i	0.970845	+	0.239709i	$0.0770520\pi$
$318$	0.669610	−	4.65724i	0.0375499	−	0.261165i
$319$	−1.64504	−	1.05720i	−0.0921046	−	0.0591921i
$320$	0.898983	+	1.03748i	0.0502547	+	0.0579970i
$321$	−14.7178			−0.821466
$322$	2.94130	−	3.78798i	0.163912	−	0.211096i
$323$	5.58910			0.310986
$324$	6.50405	+	7.50607i	0.361336	+	0.417004i
$325$	5.41819	+	3.48206i	0.300547	+	0.193150i
$326$	−2.72092	+	18.9244i	−0.150698	+	1.04813i
$327$	1.91098	−	4.18447i	0.105678	−	0.231402i
$328$	1.15455	+	8.03004i	0.0637491	+	0.443385i
$329$	−3.85380	−	1.13158i	−0.212467	−	0.0623859i
$330$	2.87102	−	1.84509i	0.158045	−	0.101569i
$331$	−7.80554	−	17.0918i	−0.429031	−	0.939448i	−0.993483	−	0.113981i	$-0.963640\pi$
$331$	−7.80554	−	17.0918i	−0.429031	−	0.939448i	0.564451	−	0.825466i	$-0.309088\pi$
$332$	−0.736964	+	0.216392i	−0.0404462	+	0.0118761i
$333$	−0.130530	+	0.150640i	−0.00715300	+	0.00825500i
$334$	−8.06765	+	9.31057i	−0.441442	+	0.509452i
$335$	−8.69743	+	2.55379i	−0.475191	+	0.139529i
$336$	−0.760554	−	1.66538i	−0.0414916	−	0.0908540i
$337$	−4.83446	+	3.10692i	−0.263350	+	0.169245i	−0.665652	−	0.746262i	$-0.731847\pi$
$337$	−4.83446	+	3.10692i	−0.263350	+	0.169245i	0.402302	+	0.915507i	$0.368210\pi$
$338$	−8.37276	−	2.45846i	−0.455418	−	0.133723i
$339$	1.28477	+	8.93574i	0.0697789	+	0.485323i
$340$	−1.52638	+	3.34232i	−0.0827798	+	0.181263i
$341$	−0.712448	+	4.95518i	−0.0385812	+	0.268338i
$342$	−0.618239	−	0.397318i	−0.0334306	−	0.0214845i
$343$	0.654861	+	0.755750i	0.0353592	+	0.0408066i
$344$	−1.56438			−0.0843460
$345$	10.4756	+	5.96233i	0.563988	+	0.321001i
$346$	−9.83337			−0.528645
$347$	6.82585	+	7.87745i	0.366431	+	0.422884i	0.908784	−	0.417267i	$-0.137012\pi$
$347$	6.82585	+	7.87745i	0.366431	+	0.422884i	−0.542353	+	0.840151i	$0.682466\pi$
$348$	−2.21802	−	1.42544i	−0.118898	−	0.0764114i
$349$	2.63000	−	18.2920i	0.140780	−	0.979149i	−0.789879	−	0.613263i	$-0.789857\pi$
$349$	2.63000	−	18.2920i	0.140780	−	0.979149i	0.930659	−	0.365887i	$-0.119234\pi$
$350$	−1.29421	+	2.83392i	−0.0691784	+	0.151479i
$351$	−1.42637	−	9.92061i	−0.0761339	−	0.529523i
$352$	1.30287	+	0.382557i	0.0694431	+	0.0203903i
$353$	8.70105	−	5.59183i	0.463110	−	0.297623i	−0.288202	−	0.957570i	$-0.593058\pi$
$353$	8.70105	−	5.59183i	0.463110	−	0.297623i	0.751312	+	0.659947i	$0.229421\pi$
$354$	1.23167	+	2.69699i	0.0654627	+	0.143343i
$355$	−6.80649	+	1.99857i	−0.361251	+	0.106073i
$356$	6.67866	−	7.70758i	0.353968	−	0.408501i
$357$	3.20905	−	3.70344i	0.169841	−	0.196007i
$358$	−17.7502	+	5.21193i	−0.938128	+	0.275459i
$359$	−10.6109	−	23.2347i	−0.560023	−	1.22628i	−0.951942	−	0.306280i	$-0.900916\pi$
$359$	−10.6109	−	23.2347i	−0.560023	−	1.22628i	0.391918	−	0.920000i	$-0.371812\pi$
$360$	0.406440	−	0.261203i	0.0214213	−	0.0137666i
$361$	14.0466	+	4.12445i	0.739295	+	0.217076i
$362$	1.74032	+	12.1042i	0.0914691	+	0.636181i
$363$	−6.96377	+	15.2485i	−0.365503	+	0.800341i
$364$	−0.294209	+	2.04627i	−0.0154207	+	0.107254i
$365$	12.2192	+	7.85279i	0.639581	+	0.411034i
$366$	−7.42335	−	8.56700i	−0.388025	−	0.447804i
$367$	−9.06199			−0.473032			−0.236516	−	0.971628i	$-0.576006\pi$
$367$	−9.06199			−0.473032			−0.236516	+	0.971628i	$0.576006\pi$
$368$	0.936621	+	4.70348i	0.0488247	+	0.245186i
$369$	2.85514			0.148633
$370$	−0.509150	−	0.587591i	−0.0264695	−	0.0305474i
$371$	−2.16197	−	1.38942i	−0.112244	−	0.0721349i
$372$	−0.960599	+	6.68111i	−0.0498047	+	0.346400i
$373$	12.2972	−	26.9271i	0.636724	−	1.39423i	−0.265984	−	0.963978i	$-0.585697\pi$
$373$	12.2972	−	26.9271i	0.636724	−	1.39423i	0.902708	−	0.430254i	$-0.141576\pi$
$374$	0.517235	+	3.59745i	0.0267456	+	0.186020i
$375$	−19.5707	−	5.74647i	−1.01062	−	0.296746i
$376$	3.37889	−	2.17148i	0.174253	−	0.111986i
$377$	1.23674	+	2.70808i	0.0636954	+	0.139473i
$378$	4.65177	−	1.36588i	0.239261	−	0.0702534i
$379$	16.6216	−	19.1824i	0.853794	−	0.985331i	−0.146198	−	0.989255i	$-0.546704\pi$
$379$	16.6216	−	19.1824i	0.853794	−	0.985331i	0.999992	+	0.00392415i	$0.00124910\pi$
$380$	1.87722	−	2.16642i	0.0962992	−	0.111135i
$381$	−35.2236	+	10.3426i	−1.80456	+	0.529867i
$382$	−4.05369	−	8.87634i	−0.207405	−	0.454153i
$383$	24.7238	−	15.8890i	1.26333	−	0.811890i	0.274590	−	0.961561i	$-0.411458\pi$
$383$	24.7238	−	15.8890i	1.26333	−	0.811890i	0.988736	+	0.149671i	$0.0478216\pi$
$384$	1.75667	+	0.515804i	0.0896446	+	0.0263220i
$385$	−0.265284	−	1.84509i	−0.0135201	−	0.0940347i
$386$	8.90152	−	19.4916i	0.453075	−	0.992097i
$387$	−0.0783539	+	0.544963i	−0.00398295	+	0.0277020i
$388$	13.2391	+	8.50823i	0.672112	+	0.431940i
$389$	10.8613	+	12.5346i	0.550687	+	0.635527i	0.961043	−	0.276399i	$-0.0891410\pi$
$389$	10.8613	+	12.5346i	0.550687	+	0.635527i	−0.410356	+	0.911925i	$0.634596\pi$
$390$	−5.19584			−0.263102
$391$	−10.4101	+	7.51014i	−0.526463	+	0.379804i
$392$	−1.00000			−0.0505076
$393$	10.9741	+	12.6647i	0.553568	+	0.638852i
$394$	−5.95491	−	3.82699i	−0.300004	−	0.192801i
$395$	1.37411	−	9.55713i	0.0691389	−	0.480871i
$396$	0.198522	−	0.434702i	0.00997609	−	0.0218446i
$397$	0.529971	+	3.68603i	0.0265985	+	0.184996i	0.998789	−	0.0491938i	$-0.0156652\pi$
$397$	0.529971	+	3.68603i	0.0265985	+	0.184996i	−0.972191	+	0.234190i	$0.924756\pi$
$398$	−13.1793	−	3.86978i	−0.660617	−	0.193975i
$399$	−3.21616	+	2.06690i	−0.161009	+	0.103474i
$400$	−1.29421	−	2.83392i	−0.0647104	−	0.141696i
$401$	7.09526	−	2.08336i	0.354320	−	0.104038i	−0.0997284	−	0.995015i	$-0.531797\pi$
$401$	7.09526	−	2.08336i	0.354320	−	0.104038i	0.454049	+	0.890977i	$0.349979\pi$
$402$	−7.91668	+	9.13634i	−0.394848	+	0.455679i
$403$	4.99112	−	5.76006i	0.248626	−	0.286929i
$404$	15.4242	−	4.52896i	0.767384	−	0.225324i
$405$	5.66395	+	12.4023i	0.281444	+	0.616277i
$406$	−1.21148	+	0.778574i	−0.0601250	+	0.0386400i
$407$	−0.737896	−	0.216666i	−0.0365761	−	0.0107397i
$408$	0.697393	+	4.85047i	0.0345261	+	0.240134i
$409$	−7.99496	+	17.5065i	−0.395326	+	0.865642i	0.602397	+	0.798196i	$0.294212\pi$
$409$	−7.99496	+	17.5065i	−0.395326	+	0.865642i	−0.997723	+	0.0674458i	$0.978515\pi$
$410$	−1.58494	+	11.0235i	−0.0782748	+	0.544413i
$411$	−28.8299	−	18.5278i	−1.42207	−	0.913910i
$412$	−6.33275	−	7.30839i	−0.311992	−	0.360058i
$413$	1.61944			0.0796876
$414$	1.68540	−	0.0906989i	0.0828329	−	0.00445761i
$415$	−1.05440			−0.0517587
$416$	−1.35380	−	1.56237i	−0.0663755	−	0.0766014i
$417$	0.920013	+	0.591257i	0.0450532	+	0.0289540i
$418$	0.403526	−	2.80659i	0.0197371	−	0.137275i
$419$	−11.0623	+	24.2230i	−0.540428	+	1.18337i	0.420682	+	0.907208i	$0.361791\pi$
$419$	−11.0623	+	24.2230i	−0.540428	+	1.18337i	−0.961110	+	0.276165i	$0.910937\pi$
$420$	−0.357685	−	2.48775i	−0.0174532	−	0.121390i
$421$	23.4502	+	6.88559i	1.14289	+	0.335583i	0.797762	−	0.602972i	$-0.206017\pi$
$421$	23.4502	+	6.88559i	1.14289	+	0.335583i	0.345129	+	0.938555i	$0.387835\pi$
$422$	14.0063	−	9.00127i	0.681814	−	0.438175i
$423$	−0.587214	−	1.28582i	−0.0285513	−	0.0625187i
$424$	2.46584	−	0.724037i	0.119752	−	0.0351623i
$425$	5.46072	−	6.30201i	0.264884	−	0.305692i
$426$	−6.19549	+	7.14998i	−0.300173	+	0.346418i
$427$	−5.94080	+	1.74438i	−0.287495	+	0.0844162i
$428$	−3.33946	−	7.31240i	−0.161419	−	0.353458i
$429$	−4.32354	+	2.77857i	−0.208742	+	0.134151i
$430$	−2.06057	−	0.605039i	−0.0993697	−	0.0291776i
$431$	3.69912	+	25.7279i	0.178180	+	1.23927i	0.860970	+	0.508656i	$0.169857\pi$
$431$	3.69912	+	25.7279i	0.178180	+	1.23927i	−0.682790	+	0.730615i	$0.739234\pi$
$432$	−2.01399	+	4.41003i	−0.0968984	+	0.212178i
$433$	−1.29455	+	9.00378i	−0.0622120	+	0.432694i	0.934782	+	0.355221i	$0.115594\pi$
$433$	−1.29455	+	9.00378i	−0.0622120	+	0.432694i	−0.996994	+	0.0774732i	$0.975315\pi$
$434$	3.10149	+	1.99321i	0.148876	+	0.0956771i
$435$	−2.37023	−	2.73539i	−0.113644	−	0.131152i
$436$	2.51262			0.120333
$437$	9.44329	−	3.33366i	0.451734	−	0.159471i
$438$	19.3714			0.925600
$439$	−2.58421	−	2.98234i	−0.123338	−	0.142339i	0.690722	−	0.723120i	$-0.257293\pi$
$439$	−2.58421	−	2.98234i	−0.123338	−	0.142339i	−0.814060	+	0.580781i	$0.802747\pi$
$440$	1.56815	+	1.00779i	0.0747588	+	0.0480445i
$441$	−0.0500861	+	0.348356i	−0.00238505	+	0.0165884i
$442$	2.29862	−	5.03327i	0.109334	−	0.239408i
$443$	−5.05256	−	35.1413i	−0.240054	−	1.66961i	−0.651858	−	0.758341i	$-0.726010\pi$
$443$	−5.05256	−	35.1413i	−0.240054	−	1.66961i	0.411804	−	0.911273i	$-0.364899\pi$
$444$	−0.994911	−	0.292132i	−0.0472164	−	0.0138640i
$445$	11.7780	−	7.56923i	0.558329	−	0.358816i
$446$	3.75159	+	8.21483i	0.177643	+	0.388983i
$447$	−34.2168	+	10.0469i	−1.61840	+	0.475204i
$448$	0.654861	−	0.755750i	0.0309393	−	0.0357058i
$449$	−18.8153	+	21.7140i	−0.887950	+	1.02475i	0.111569	+	0.993757i	$0.464412\pi$
$449$	−18.8153	+	21.7140i	−0.887950	+	1.02475i	−0.999520	+	0.0309927i	$0.990133\pi$
$450$	−1.05204	+	0.308906i	−0.0495935	+	0.0145620i
$451$	4.57617	+	10.0204i	0.215483	+	0.471843i
$452$	−4.14813	+	2.66584i	−0.195112	+	0.125391i
$453$	22.4124	+	6.58087i	1.05303	+	0.309196i
$454$	1.80385	+	12.5460i	0.0846588	+	0.588815i
$455$	−1.17894	+	2.58151i	−0.0552694	+	0.121023i
$456$	0.544078	−	3.78415i	0.0254788	−	0.177209i
$457$	0.977312	+	0.628080i	0.0457167	+	0.0293804i	0.563300	−	0.826253i	$-0.309532\pi$
$457$	0.977312	+	0.628080i	0.0457167	+	0.0293804i	−0.517583	+	0.855633i	$0.673168\pi$
$458$	−10.4672	−	12.0798i	−0.489102	−	0.564453i
$459$	−12.9764			−0.605688
$460$	−0.585414	+	6.55757i	−0.0272951	+	0.305748i
$461$	−13.1335			−0.611687			−0.305843	−	0.952082i	$-0.598938\pi$
$461$	−13.1335			−0.611687			−0.305843	+	0.952082i	$0.598938\pi$
$462$	−1.62801	−	1.87882i	−0.0757417	−	0.0874106i
$463$	−22.1038	−	14.2052i	−1.02725	−	0.660173i	−0.0854472	−	0.996343i	$-0.527232\pi$
$463$	−22.1038	−	14.2052i	−1.02725	−	0.660173i	−0.941801	+	0.336170i	$0.890868\pi$
$464$	0.204947	−	1.42544i	0.00951442	−	0.0661742i
$465$	−3.84926	+	8.42870i	−0.178505	+	0.390871i
$466$	2.18990	+	15.2311i	0.101445	+	0.705567i
$467$	29.3216	+	8.60959i	1.35684	+	0.398404i	0.877648	−	0.479306i	$-0.159111\pi$
$467$	29.3216	+	8.60959i	1.35684	+	0.398404i	0.479192	+	0.877710i	$0.340930\pi$
$468$	−0.612067	+	0.393352i	−0.0282928	+	0.0181827i
$469$	2.74302	+	6.00637i	0.126661	+	0.277348i
$470$	5.29044	−	1.55341i	0.244030	−	0.0716536i
$471$	0.478713	−	0.552464i	0.0220579	−	0.0254562i
$472$	−1.06051	+	1.22389i	−0.0488139	+	0.0563343i
$473$	−2.03819	+	0.598466i	−0.0937160	+	0.0275175i
$474$	−5.34931	−	11.7134i	−0.245702	−	0.538013i
$475$	−5.47283	+	3.51717i	−0.251111	+	0.161379i
$476$	2.56815	+	0.754078i	0.117711	+	0.0345631i
$477$	−0.128718	−	0.895256i	−0.00589361	−	0.0409910i
$478$	2.51427	−	5.50548i	0.115000	−	0.251815i
$479$	−3.79380	+	26.3864i	−0.173343	+	1.20563i	0.698416	+	0.715692i	$0.253889\pi$
$479$	−3.79380	+	26.3864i	−0.173343	+	1.20563i	−0.871759	+	0.489935i	$0.837020\pi$
$480$	2.11435	+	1.35881i	0.0965066	+	0.0620210i
$481$	0.766741	+	0.884866i	0.0349604	+	0.0403464i
$482$	23.1385			1.05393
$483$	3.21303	−	8.17135i	0.146198	−	0.371809i
$484$	−9.15618			−0.416190
$485$	14.1476	+	16.3272i	0.642409	+	0.741379i
$486$	3.06155	+	1.96754i	0.138875	+	0.0892493i
$487$	−6.13875	+	42.6959i	−0.278173	+	1.93474i	0.0705430	+	0.997509i	$0.477527\pi$
$487$	−6.13875	+	42.6959i	−0.278173	+	1.93474i	−0.348716	+	0.937228i	$0.613382\pi$
$488$	2.57208	−	5.63208i	0.116433	−	0.254952i
$489$	4.98154	+	34.6474i	0.225273	+	1.56681i
$490$	−1.31718	−	0.386758i	−0.0595040	−	0.0174720i
$491$	28.9786	−	18.6234i	1.30779	−	0.840464i	0.313751	−	0.949505i	$-0.398414\pi$
$491$	28.9786	−	18.6234i	1.30779	−	0.840464i	0.994037	+	0.109041i	$0.0347781\pi$
$492$	6.17009	+	13.5106i	0.278169	+	0.609105i
$493$	3.69838	−	1.08594i	0.166567	−	0.0489084i
$494$	−2.82694	+	3.26247i	−0.127190	+	0.146785i
$495$	0.429613	−	0.495800i	0.0193097	−	0.0222845i
$496$	−3.53741	+	1.03868i	−0.158835	+	0.0466380i
$497$	2.14665	+	4.70051i	0.0962904	+	0.210847i
$498$	−1.18299	+	0.760259i	−0.0530109	+	0.0340680i
$499$	−35.1781	−	10.3292i	−1.57479	−	0.462400i	−0.626397	−	0.779504i	$-0.715471\pi$
$499$	−35.1781	−	10.3292i	−1.57479	−	0.462400i	−0.948391	+	0.317104i	$0.897289\pi$
$500$	−1.58550	−	11.0274i	−0.0709057	−	0.493160i
$501$	−9.36976	+	20.5169i	−0.418610	+	0.916628i
$502$	1.06167	−	7.38406i	0.0473845	−	0.329567i
$503$	34.1688	+	21.9590i	1.52351	+	0.979102i	0.991174	+	0.132570i	$0.0423228\pi$
$503$	34.1688	+	21.9590i	1.52351	+	0.979102i	0.532338	+	0.846532i	$0.321314\pi$
$504$	−0.230471	−	0.265977i	−0.0102660	−	0.0118476i
$505$	22.0681			0.982016
$506$	3.01964	+	5.76971i	0.134240	+	0.256495i
$507$	−15.9763			−0.709530
$508$	−13.1309	−	15.1538i	−0.582588	−	0.672342i
$509$	33.2961	+	21.3981i	1.47583	+	0.948455i	0.997529	+	0.0702567i	$0.0223818\pi$
$509$	33.2961	+	21.3981i	1.47583	+	0.948455i	0.478296	+	0.878199i	$0.341255\pi$
$510$	−0.957371	+	6.65866i	−0.0423931	+	0.294850i
$511$	4.39536	−	9.62449i	0.194439	−	0.425763i
$512$	0.142315	+	0.989821i	0.00628949	+	0.0437443i
$513$	9.71361	+	2.85217i	0.428866	+	0.125927i
$514$	6.72815	−	4.32392i	0.296766	−	0.190720i
$515$	−5.51479	−	12.0757i	−0.243010	−	0.532119i
$516$	−2.74811	+	0.806917i	−0.120979	+	0.0355225i
$517$	3.57154	−	4.12177i	0.157076	−	0.181275i
$518$	−0.370888	+	0.428028i	−0.0162959	+	0.0188065i
$519$	−17.2740	+	5.07209i	−0.758243	+	0.222640i
$520$	−1.17894	−	2.58151i	−0.0516998	−	0.113207i
$521$	−10.8900	+	6.99858i	−0.477100	+	0.306613i	−0.756999	−	0.653416i	$-0.773335\pi$
$521$	−10.8900	+	6.99858i	−0.477100	+	0.306613i	0.279899	+	0.960029i	$0.409699\pi$
$522$	−0.486295	−	0.142789i	−0.0212845	−	0.00624971i
$523$	5.09100	+	35.4087i	0.222614	+	1.54831i	0.728096	+	0.685475i	$0.240406\pi$
$523$	5.09100	+	35.4087i	0.222614	+	1.54831i	−0.505482	+	0.862837i	$0.668685\pi$
$524$	−3.80235	+	8.32599i	−0.166107	+	0.363723i
$525$	−0.811746	+	5.64582i	−0.0354275	+	0.246404i
$526$	3.88636	+	2.49761i	0.169453	+	0.108901i
$527$	−6.46208	−	7.45763i	−0.281492	−	0.324860i
$528$	2.48603			0.108191
$529$	−13.1094	+	18.8983i	−0.569973	+	0.821663i
$530$	3.52798			0.153246
$531$	0.373234	+	0.430735i	0.0161970	+	0.0186923i
$532$	−1.75667	−	1.12894i	−0.0761612	−	0.0489459i
$533$	2.38680	−	16.6006i	0.103384	−	0.719051i
$534$	7.75659	−	16.9846i	0.335660	−	0.734993i
$535$	−1.57053	−	10.9233i	−0.0679000	−	0.472255i
$536$	−6.33560	−	1.86030i	−0.273656	−	0.0803528i
$537$	−28.4929	+	18.3113i	−1.22956	+	0.790190i
$538$	−2.69929	−	5.91061i	−0.116374	−	0.254824i
$539$	−1.30287	+	0.382557i	−0.0561185	+	0.0164779i
$540$	−4.35841	+	5.02987i	−0.187556	+	0.216451i
$541$	−1.34540	+	1.55268i	−0.0578433	+	0.0667547i	−0.783934	−	0.620844i	$-0.786790\pi$
$541$	−1.34540	+	1.55268i	−0.0578433	+	0.0667547i	0.726091	+	0.687599i	$0.241335\pi$
$542$	−11.9778	+	3.51699i	−0.514490	+	0.151068i
$543$	9.30055	+	20.3654i	0.399125	+	0.873961i
$544$	−2.25168	+	1.44706i	−0.0965398	+	0.0620424i
$545$	3.30957	+	0.971776i	0.141766	+	0.0416263i
$546$	0.538646	+	3.74637i	0.0230519	+	0.160330i
$547$	−8.59763	+	18.8262i	−0.367608	+	0.804950i	0.631944	+	0.775014i	$0.282257\pi$
$547$	−8.59763	+	18.8262i	−0.367608	+	0.804950i	−0.999552	+	0.0299352i	$0.990470\pi$
$548$	2.66390	−	18.5278i	0.113796	−	0.791470i
$549$	−1.83314	−	1.17809i	−0.0782367	−	0.0502797i
$550$	−2.77032	−	3.19712i	−0.118127	−	0.136326i
$551$	−3.00714			−0.128109
$552$	4.07141	+	7.77935i	0.173291	+	0.331111i
$553$	−7.03344			−0.299092
$554$	8.15892	+	9.41589i	0.346639	+	0.400043i
$555$	−1.19749	−	0.769580i	−0.0508306	−	0.0326669i
$556$	−0.0850099	+	0.591257i	−0.00360522	+	0.0250749i
$557$	10.0413	−	21.9873i	0.425462	−	0.931633i	−0.568579	−	0.822629i	$-0.692507\pi$
$557$	10.0413	−	21.9873i	0.425462	−	0.931633i	0.994041	−	0.109004i	$-0.0347662\pi$
$558$	0.184655	+	1.28430i	0.00781707	+	0.0543689i
$559$	3.10306	+	0.911142i	0.131246	+	0.0385372i
$560$	1.15486	−	0.742184i	0.0488018	−	0.0313630i
$561$	2.76419	+	6.05274i	0.116704	+	0.255547i
$562$	13.2406	−	3.88778i	0.558519	−	0.163996i
$563$	20.2707	−	23.3936i	0.854308	−	0.985924i	−0.145687	−	0.989331i	$-0.546539\pi$
$563$	20.2707	−	23.3936i	0.854308	−	0.985924i	0.999994	+	0.00340722i	$0.00108455\pi$
$564$	4.81553	−	5.55742i	0.202770	−	0.234010i
$565$	−6.49487	+	1.90707i	−0.273241	+	0.0802308i
$566$	10.2870	+	22.5253i	0.432393	+	0.946809i
$567$	8.35529	−	5.36962i	0.350889	−	0.225503i
$568$	−4.95816	−	1.45585i	−0.208040	−	0.0610860i
$569$	2.38979	+	16.6213i	0.100185	+	0.696803i	0.976571	+	0.215194i	$0.0690383\pi$
$569$	2.38979	+	16.6213i	0.100185	+	0.696803i	−0.876386	+	0.481609i	$0.840053\pi$
$570$	2.18020	−	4.77397i	0.0913184	−	0.199959i
$571$	−1.92761	+	13.4068i	−0.0806679	+	0.561057i	0.908903	+	0.417008i	$0.136921\pi$
$571$	−1.92761	+	13.4068i	−0.0806679	+	0.561057i	−0.989571	+	0.144049i	$0.953988\pi$
$572$	−2.36152	−	1.51766i	−0.0987400	−	0.0634564i
$573$	−11.6994	−	13.5019i	−0.488751	−	0.564049i
$574$	8.11262			0.338614
$575$	5.46750	−	13.9049i	0.228011	−	0.579875i
$576$	0.351939			0.0146641
$577$	−3.22358	−	3.72021i	−0.134199	−	0.154874i	0.684672	−	0.728851i	$-0.259945\pi$
$577$	−3.22358	−	3.72021i	−0.134199	−	0.154874i	−0.818872	+	0.573977i	$0.805400\pi$
$578$	8.27453	+	5.31772i	0.344175	+	0.221188i
$579$	5.58316	−	38.8317i	0.232028	−	1.61379i
$580$	0.821251	−	1.79829i	0.0341006	−	0.0746699i
$581$	0.109309	+	0.760259i	0.00453489	+	0.0315409i
$582$	27.6452	+	8.11737i	1.14593	+	0.336476i
$583$	2.93569	−	1.88665i	0.121584	−	0.0781371i
$584$	4.39536	+	9.62449i	0.181881	+	0.398264i
$585$	−0.958334	+	0.281392i	−0.0396222	+	0.0116341i
$586$	1.14136	−	1.31721i	0.0471493	−	0.0544132i
$587$	5.17174	−	5.96850i	0.213461	−	0.246347i	−0.638914	−	0.769278i	$-0.720616\pi$
$587$	5.17174	−	5.96850i	0.213461	−	0.246347i	0.852375	+	0.522931i	$0.175162\pi$
$588$	−1.75667	+	0.515804i	−0.0724438	+	0.0212714i
$589$	3.19808	+	7.00281i	0.131774	+	0.288546i
$590$	−1.87023	+	1.20192i	−0.0769962	+	0.0494824i
$591$	−12.4348	−	3.65118i	−0.511499	−	0.150190i
$592$	−0.0806018	−	0.560598i	−0.00331271	−	0.0230404i
$593$	11.8647	−	25.9801i	0.487226	−	1.06688i	−0.493187	−	0.869923i	$-0.664168\pi$
$593$	11.8647	−	25.9801i	0.487226	−	1.06688i	0.980413	−	0.196952i	$-0.0631044\pi$
$594$	−0.936883	+	6.51616i	−0.0384408	+	0.267361i
$595$	3.09107	+	1.98651i	0.126721	+	0.0814390i
$596$	−12.7555	−	14.7206i	−0.522486	−	0.602981i
$597$	−25.1477			−1.02923
$598$	0.881589	−	9.87519i	0.0360508	−	0.403827i
$599$	−37.2633			−1.52254			−0.761268	−	0.648437i	$-0.775423\pi$
$599$	−37.2633			−1.52254			−0.761268	+	0.648437i	$0.775423\pi$
$600$	−3.73525	−	4.31070i	−0.152491	−	0.175984i
$601$	7.10201	+	4.56418i	0.289697	+	0.186177i	0.677415	−	0.735601i	$-0.263100\pi$
$601$	7.10201	+	4.56418i	0.289697	+	0.186177i	−0.387718	+	0.921778i	$0.626737\pi$
$602$	−0.222635	+	1.54846i	−0.00907393	+	0.0631106i
$603$	−0.965373	+	2.11387i	−0.0393130	+	0.0860836i
$604$	1.81572	+	12.6286i	0.0738806	+	0.513851i
$605$	−12.0603	−	3.54123i	−0.490322	−	0.143971i
$606$	24.7592	−	15.9118i	1.00577	−	0.646371i
$607$	−10.9464	−	23.9693i	−0.444301	−	0.972884i	−0.990789	−	0.135417i	$-0.956763\pi$
$607$	−10.9464	−	23.9693i	−0.444301	−	0.972884i	0.546487	−	0.837467i	$-0.315965\pi$
$608$	2.00357	−	0.588302i	0.0812555	−	0.0238588i
$609$	−1.72659	+	1.99259i	−0.0699648	+	0.0807436i
$610$	5.56614	−	6.42367i	0.225367	−	0.260087i
$611$	−7.96699	+	2.33932i	−0.322310	+	0.0946388i
$612$	0.391317	+	0.856864i	0.0158180	+	0.0346367i
$613$	12.9119	−	8.29800i	0.521509	−	0.335153i	−0.253260	−	0.967398i	$-0.581503\pi$
$613$	12.9119	−	8.29800i	0.521509	−	0.335153i	0.774768	+	0.632245i	$0.217866\pi$
$614$	5.84557	+	1.71641i	0.235908	+	0.0692688i
$615$	2.90176	+	20.1822i	0.117010	+	0.813825i
$616$	0.564081	−	1.23516i	0.0227275	−	0.0497662i
$617$	−1.53082	+	10.6471i	−0.0616284	+	0.428635i	0.935527	+	0.353256i	$0.114926\pi$
$617$	−1.53082	+	10.6471i	−0.0616284	+	0.428635i	−0.997155	+	0.0753786i	$0.975983\pi$
$618$	−14.8943	−	9.57195i	−0.599135	−	0.385040i
$619$	−19.9077	−	22.9747i	−0.800158	−	0.923431i	0.198232	−	0.980155i	$-0.436480\pi$
$619$	−19.9077	−	22.9747i	−0.800158	−	0.923431i	−0.998390	+	0.0567238i	$0.981935\pi$
$620$	−5.06112			−0.203259
$621$	−21.9248	+	7.73989i	−0.879814	+	0.310591i
$622$	−5.87288			−0.235481
$623$	−6.67866	−	7.70758i	−0.267575	−	0.308798i
$624$	−3.18405	−	2.04627i	−0.127464	−	0.0819162i
$625$	−0.0403303	+	0.280503i	−0.00161321	+	0.0112201i
$626$	6.73416	−	14.7458i	0.269151	−	0.589359i
$627$	−0.738788	−	5.13839i	−0.0295044	−	0.205207i
$628$	0.383107	+	0.112490i	0.0152876	+	0.00448885i
$629$	1.27526	−	0.819563i	0.0508481	−	0.0326781i
$630$	−0.200702	−	0.439476i	−0.00799616	−	0.0175091i
$631$	−27.2646	+	8.00561i	−1.08539	+	0.318698i	−0.775032	−	0.631922i	$-0.782266\pi$
$631$	−27.2646	+	8.00561i	−1.08539	+	0.318698i	−0.310355	+	0.950621i	$0.600448\pi$
$632$	4.60592	−	5.31552i	0.183214	−	0.211440i
$633$	19.9615	−	23.0367i	0.793397	−	0.915628i
$634$	6.32958	−	1.85853i	0.251380	−	0.0738118i
$635$	−11.4348	−	25.0387i	−0.453777	−	0.993632i
$636$	3.95821	−	2.54379i	0.156953	−	0.100868i
$637$	1.98357	+	0.582428i	0.0785918	+	0.0230766i
$638$	−0.278292	−	1.93556i	−0.0110177	−	0.0766296i
$639$	−0.755489	+	1.65429i	−0.0298867	+	0.0654427i
$640$	−0.195368	+	1.35881i	−0.00772259	+	0.0537118i
$641$	−32.2646	−	20.7352i	−1.27437	−	0.818990i	−0.284191	−	0.958768i	$-0.591725\pi$
$641$	−32.2646	−	20.7352i	−1.27437	−	0.818990i	−0.990183	+	0.139777i	$0.955361\pi$
$642$	−9.63809	−	11.1230i	−0.380385	−	0.438988i
$643$	3.86641			0.152476			0.0762382	−	0.997090i	$-0.475709\pi$
$643$	3.86641			0.152476			0.0762382	+	0.997090i	$0.475709\pi$
$644$	4.78890	−	0.257712i	0.188709	−	0.0101553i
$645$	−3.93183			−0.154816
$646$	3.66008	+	4.22396i	0.144004	+	0.166190i
$647$	−10.7408	−	6.90268i	−0.422264	−	0.271372i	0.312205	−	0.950015i	$-0.398932\pi$
$647$	−10.7408	−	6.90268i	−0.422264	−	0.271372i	−0.734469	+	0.678642i	$0.762569\pi$
$648$	−1.41346	+	9.83086i	−0.0555261	+	0.386193i
$649$	−0.913496	+	2.00028i	−0.0358579	+	0.0785178i
$650$	0.916595	+	6.37506i	0.0359518	+	0.250050i
$651$	6.47640	+	1.90164i	0.253830	+	0.0745313i
$652$	−16.0839	+	10.3365i	−0.629895	+	0.404809i
$653$	1.04981	+	2.29877i	0.0410823	+	0.0899577i	0.929060	−	0.369928i	$-0.120618\pi$
$653$	1.04981	+	2.29877i	0.0410823	+	0.0899577i	−0.887978	+	0.459886i	$0.847890\pi$
$654$	4.41384	−	1.29602i	0.172595	−	0.0506784i
$655$	−8.22853	+	9.49623i	−0.321515	+	0.371048i
$656$	−5.31264	+	6.13111i	−0.207424	+	0.239380i
$657$	3.57290	−	1.04910i	0.139392	−	0.0409292i
$658$	−1.66851	−	3.65353i	−0.0650454	−	0.142430i
$659$	39.3606	−	25.2955i	1.53327	−	0.985374i	0.544033	−	0.839064i	$-0.316897\pi$
$659$	39.3606	−	25.2955i	1.53327	−	0.985374i	0.989239	−	0.146310i	$-0.0467397\pi$
$660$	3.27455	+	0.961494i	0.127462	+	0.0374261i
$661$	−3.77445	−	26.2519i	−0.146809	−	1.02108i	−0.921400	−	0.388616i	$-0.872953\pi$
$661$	−3.77445	−	26.2519i	−0.146809	−	1.02108i	0.774591	−	0.632463i	$-0.217956\pi$
$662$	7.80554	−	17.0918i	0.303371	−	0.664290i
$663$	1.44173	−	10.0274i	0.0559920	−	0.389433i
$664$	−0.646147	−	0.415254i	−0.0250754	−	0.0161150i
$665$	−1.87722	−	2.16642i	−0.0727954	−	0.0840103i
$666$	−0.199325			−0.00772368
$667$	5.60103	−	4.04073i	0.216873	−	0.156458i
$668$	−12.3196			−0.476661
$669$	10.8275	+	12.4956i	0.418617	+	0.483110i
$670$	−7.62563	−	4.90070i	−0.294604	−	0.189330i
$671$	1.19650	−	8.32183i	0.0461903	−	0.321261i
$672$	0.760554	−	1.66538i	0.0293390	−	0.0642435i
$673$	1.44612	+	10.0580i	0.0557440	+	0.387708i	0.998525	+	0.0542952i	$0.0172912\pi$
$673$	1.44612	+	10.0580i	0.0557440	+	0.387708i	−0.942781	+	0.333413i	$0.891800\pi$
$674$	−5.51395	−	1.61904i	−0.212390	−	0.0623632i
$675$	12.7065	−	8.16596i	0.489072	−	0.314308i
$676$	−3.62501	−	7.93766i	−0.139423	−	0.305295i
$677$	23.4289	−	6.87934i	0.900446	−	0.264395i	0.201432	−	0.979503i	$-0.435441\pi$
$677$	23.4289	−	6.87934i	0.900446	−	0.264395i	0.699014	+	0.715108i	$0.253622\pi$
$678$	−5.91184	+	6.82263i	−0.227043	+	0.262021i
$679$	10.3057	−	11.8935i	0.395498	−	0.456429i
$680$	−3.52552	+	1.03519i	−0.135198	+	0.0396976i
$681$	9.64007	+	21.1088i	0.369408	+	0.808891i
$682$	−4.21143	+	2.70652i	−0.161264	+	0.103638i
$683$	−23.9782	−	7.04063i	−0.917500	−	0.269402i	−0.211305	−	0.977420i	$-0.567771\pi$
$683$	−23.9782	−	7.04063i	−0.917500	−	0.269402i	−0.706195	+	0.708018i	$0.749590\pi$
$684$	−0.104588	−	0.727422i	−0.00399900	−	0.0278137i
$685$	10.6746	−	23.3742i	0.407856	−	0.893081i
$686$	−0.142315	+	0.989821i	−0.00543361	+	0.0377916i
$687$	−24.6183	−	15.8212i	−0.939246	−	0.603617i
$688$	−1.02445	−	1.18228i	−0.0390570	−	0.0450741i
$689$	−5.31287			−0.202404
$690$	2.35404	+	11.8214i	0.0896169	+	0.450034i
$691$	−15.7135			−0.597768			−0.298884	−	0.954289i	$-0.596614\pi$
$691$	−15.7135			−0.597768			−0.298884	+	0.954289i	$0.596614\pi$
$692$	−6.43948	−	7.43156i	−0.244792	−	0.282506i
$693$	−0.402025	−	0.258366i	−0.0152717	−	0.00981450i
$694$	−1.48340	+	10.3173i	−0.0563091	+	0.391638i
$695$	−0.340647	+	0.745912i	−0.0129215	+	0.0282941i
$696$	−0.375223	−	2.60973i	−0.0142228	−	0.0989216i
$697$	−20.8344	−	6.11755i	−0.789161	−	0.231719i
$698$	15.5465	−	9.99111i	0.588442	−	0.378169i
$699$	11.7032	+	25.6264i	0.442656	+	0.969281i
$700$	−2.98926	+	0.877726i	−0.112983	+	0.0331749i
$701$	23.2096	−	26.7853i	0.876613	−	1.01167i	−0.123201	−	0.992382i	$-0.539316\pi$
$701$	23.2096	−	26.7853i	0.876613	−	1.01167i	0.999814	−	0.0192834i	$-0.00613849\pi$
$702$	6.56342	−	7.57459i	0.247720	−	0.285885i
$703$	−1.13475	+	0.333192i	−0.0427978	+	0.0125666i
$704$	0.564081	+	1.23516i	0.0212596	+	0.0465520i
$705$	8.49229	−	5.45767i	0.319838	−	0.205548i
$706$	9.92400	+	2.91395i	0.373495	+	0.109668i
$707$	−2.28777	−	15.9118i	−0.0860403	−	0.598424i
$708$	−1.23167	+	2.69699i	−0.0462892	+	0.101359i
$709$	−2.05932	+	14.3229i	−0.0773393	+	0.537906i	0.913911	+	0.405914i	$0.133047\pi$
$709$	−2.05932	+	14.3229i	−0.0773393	+	0.537906i	−0.991251	+	0.131993i	$0.957862\pi$
$710$	−5.96772	−	3.83522i	−0.223965	−	0.143933i
$711$	−1.62100	−	1.87074i	−0.0607924	−	0.0701581i
$712$	10.1986			0.382209
$713$	−15.3664	−	8.74599i	−0.575477	−	0.327540i
$714$	4.90035			0.183391
$715$	−2.52357	−	2.91236i	−0.0943763	−	0.108916i
$716$	−15.5628	−	10.0016i	−0.581611	−	0.373778i
$717$	1.57699	−	10.9682i	0.0588936	−	0.409614i
$718$	10.6109	−	23.2347i	0.395996	−	0.867111i
$719$	−4.96239	−	34.5141i	−0.185066	−	1.28716i	−0.844564	−	0.535454i	$-0.820140\pi$
$719$	−4.96239	−	34.5141i	−0.185066	−	1.28716i	0.659498	−	0.751706i	$-0.270769\pi$
$720$	0.463566	+	0.136115i	0.0172761	+	0.00507271i
$721$	−8.13524	+	5.22820i	−0.302972	+	0.194709i
$722$	6.08151	+	13.3167i	0.226330	+	0.495595i
$723$	40.6466	−	11.9349i	1.51166	−	0.443864i
$724$	−8.00806	+	9.24179i	−0.297617	+	0.343469i
$725$	−2.93807	+	3.39071i	−0.109117	+	0.125928i
$726$	−16.0844	+	4.72280i	−0.596947	+	0.175280i
$727$	2.56425	+	5.61493i	0.0951028	+	0.208246i	0.951204	−	0.308561i	$-0.0998475\pi$
$727$	2.56425	+	5.61493i	0.0951028	+	0.208246i	−0.856102	+	0.516808i	$0.827120\pi$
$728$	−1.73913	+	1.11767i	−0.0644565	+	0.0414237i
$729$	−22.1959	−	6.51731i	−0.822072	−	0.241382i
$730$	2.06712	+	14.3771i	0.0765074	+	0.532121i
$731$	1.73942	−	3.80880i	0.0643348	−	0.140874i
$732$	1.61325	−	11.2204i	0.0596274	−	0.414717i
$733$	−23.3713	−	15.0198i	−0.863238	−	0.554770i	0.0324393	−	0.999474i	$-0.489672\pi$
$733$	−23.3713	−	15.0198i	−0.863238	−	0.554770i	−0.895678	+	0.444704i	$0.853309\pi$
$734$	−5.93434	−	6.84859i	−0.219040	−	0.252786i
$735$	−2.51334			−0.0927058
$736$	−2.94130	+	3.78798i	−0.108418	+	0.139627i
$737$	−8.96613			−0.330272
$738$	1.86972	+	2.15777i	0.0688254	+	0.0794287i
$739$	30.7293	+	19.7485i	1.13039	+	0.726460i	0.965642	−	0.259875i	$-0.0836812\pi$
$739$	30.7293	+	19.7485i	1.13039	+	0.726460i	0.164752	+	0.986335i	$0.447318\pi$
$740$	0.110649	−	0.769580i	0.00406754	−	0.0282903i
$741$	−3.28321	+	7.18922i	−0.120612	+	0.264103i
$742$	−0.365741	−	2.54379i	−0.0134268	−	0.0933853i
$743$	27.4649	+	8.06442i	1.00759	+	0.295855i	0.743567	−	0.668662i	$-0.233133\pi$
$743$	27.4649	+	8.06442i	1.00759	+	0.295855i	0.264022	+	0.964517i	$0.414951\pi$
$744$	−5.67831	+	3.64923i	−0.208177	+	0.133787i
$745$	−11.1080	−	24.3230i	−0.406964	−	0.891127i
$746$	28.4031	−	8.33990i	1.03991	−	0.305345i
$747$	−0.177019	+	0.204291i	−0.00647680	+	0.00747462i
$748$	−2.38006	+	2.74673i	−0.0870234	+	0.100430i
$749$	−7.71322	+	2.26481i	−0.281835	+	0.0827542i
$750$	−8.47317	−	18.5537i	−0.309397	−	0.677484i
$751$	−20.2142	+	12.9909i	−0.737626	+	0.474043i	−0.854728	−	0.519077i	$-0.826276\pi$
$751$	−20.2142	+	12.9909i	−0.737626	+	0.474043i	0.117102	+	0.993120i	$0.462640\pi$
$752$	3.85380	+	1.13158i	0.140534	+	0.0412644i
$753$	−1.94373	−	13.5190i	−0.0708335	−	0.492658i
$754$	−1.23674	+	2.70808i	−0.0450394	+	0.0986226i
$755$	−2.49259	+	17.3364i	−0.0907148	+	0.630935i
$756$	4.07852	+	2.62111i	0.148334	+	0.0953288i
$757$	24.4721	+	28.2423i	0.889454	+	1.02648i	0.999470	+	0.0325546i	$0.0103643\pi$
$757$	24.4721	+	28.2423i	0.889454	+	1.02648i	−0.110016	+	0.993930i	$0.535090\pi$
$758$	25.3819			0.921912
$759$	8.28055	+	8.57792i	0.300565	+	0.311359i
$760$	2.86659			0.103982
$761$	26.5451	+	30.6347i	0.962259	+	1.11051i	0.993820	+	0.111005i	$0.0354069\pi$
$761$	26.5451	+	30.6347i	0.962259	+	1.11051i	−0.0315605	+	0.999502i	$0.510048\pi$
$762$	−30.8830	−	19.8473i	−1.11877	−	0.718991i
$763$	0.357583	−	2.48704i	0.0129454	−	0.0900370i
$764$	4.05369	−	8.87634i	0.146657	−	0.321135i
$765$	0.184034	+	1.27999i	0.00665378	+	0.0462780i
$766$	28.1987	+	8.27990i	1.01886	+	0.299165i
$767$	2.81642	−	1.81001i	0.101695	−	0.0653555i
$768$	0.760554	+	1.66538i	0.0274441	+	0.0600943i
$769$	−30.3442	+	8.90987i	−1.09424	+	0.321298i	−0.778562	−	0.627568i	$-0.784050\pi$
$769$	−30.3442	+	8.90987i	−1.09424	+	0.321298i	−0.315679	+	0.948866i	$0.602232\pi$
$770$	1.22070	−	1.40877i	0.0439911	−	0.0507685i
$771$	9.58883	−	11.0661i	0.345333	−	0.398536i
$772$	20.5600	−	6.03697i	0.739972	−	0.217275i
$773$	21.2278	+	46.4825i	0.763512	+	1.67186i	0.740438	+	0.672125i	$0.234618\pi$
$773$	21.2278	+	46.4825i	0.763512	+	1.67186i	0.0230741	+	0.999734i	$0.492655\pi$
$774$	−0.463167	+	0.297659i	−0.0166482	+	0.0106991i
$775$	11.0207	+	3.23596i	0.395874	+	0.116239i
$776$	2.23965	+	15.5771i	0.0803988	+	0.559186i
$777$	−0.430749	+	0.943209i	−0.0154530	+	0.0338374i
$778$	−2.36038	+	16.4168i	−0.0846236	+	0.588570i
$779$	14.2512	+	9.15868i	0.510602	+	0.328144i
$780$	−3.40255	−	3.92676i	−0.121831	−	0.140600i
$781$	−7.01678			−0.251080
$782$	−12.4930	−	2.94936i	−0.446748	−	0.105469i
$783$	6.98179			0.249509
$784$	−0.654861	−	0.755750i	−0.0233879	−	0.0269911i
$785$	0.461113	+	0.296340i	0.0164578	+	0.0105768i
$786$	−2.38489	+	16.5873i	−0.0850663	+	0.591649i
$787$	−8.06450	+	17.6588i	−0.287468	+	0.629468i	−0.997182	−	0.0750224i	$-0.976097\pi$
$787$	−8.06450	+	17.6588i	−0.287468	+	0.629468i	0.709713	+	0.704491i	$0.248824\pi$
$788$	−1.00739	−	7.00657i	−0.0358869	−	0.249599i
$789$	8.11532	+	2.38287i	0.288913	+	0.0848325i
$790$	8.12265	−	5.22011i	0.288991	−	0.185723i
$791$	2.04837	+	4.48530i	0.0728316	+	0.159479i
$792$	0.458530	−	0.134637i	0.0162931	−	0.00478410i
$793$	−8.38218	+	9.67356i	−0.297660	+	0.343518i
$794$	−2.43866	+	2.81436i	−0.0865447	+	0.0998779i
$795$	6.19750	−	1.81975i	0.219803	−	0.0645398i
$796$	−5.70600	−	12.4944i	−0.202244	−	0.442852i
$797$	33.1660	−	21.3145i	1.17480	−	0.754999i	0.200377	−	0.979719i	$-0.435783\pi$
$797$	33.1660	−	21.3145i	1.17480	−	0.754999i	0.974423	+	0.224720i	$0.0721468\pi$
$798$	−3.66820	−	1.07708i	−0.129853	−	0.0381282i
$799$	1.52995	+	10.6410i	0.0541257	+	0.376452i
$800$	1.29421	−	2.83392i	0.0457572	−	0.100194i
$801$	0.510808	−	3.55275i	0.0180485	−	0.125530i
$802$	6.22090	+	3.99793i	0.219668	+	0.141172i
$803$	9.40849	+	10.8580i	0.332018	+	0.383170i
$804$	−12.0891			−0.426350
$805$	6.40751	+	1.51270i	0.225835	+	0.0533155i
$806$	7.62165			0.268461
$807$	−7.79047	−	8.99068i	−0.274237	−	0.316487i
$808$	13.5235	+	8.69101i	0.475754	+	0.305749i
$809$	−7.18314	+	49.9598i	−0.252546	+	1.75649i	0.330267	+	0.943888i	$0.392861\pi$
$809$	−7.18314	+	49.9598i	−0.252546	+	1.75649i	−0.582812	+	0.812607i	$0.698048\pi$
$810$	−5.66395	+	12.4023i	−0.199011	+	0.435773i
$811$	5.00952	+	34.8420i	0.175908	+	1.22347i	0.866111	+	0.499852i	$0.166612\pi$
$811$	5.00952	+	34.8420i	0.175908	+	1.22347i	−0.690203	+	0.723616i	$0.742479\pi$
$812$	−1.38176	−	0.405722i	−0.0484903	−	0.0142380i
$813$	−19.2269	+	12.3564i	−0.674317	+	0.433357i
$814$	−0.319474	−	0.699550i	−0.0111976	−	0.0245192i
$815$	−25.1831	+	7.39443i	−0.882126	+	0.259016i
$816$	−3.20905	+	3.70344i	−0.112339	+	0.129646i
$817$	−2.13922	+	2.46879i	−0.0748418	+	0.0863721i
$818$	−18.4661	+	5.42215i	−0.645653	+	0.189581i
$819$	0.302242	+	0.661817i	0.0105612	+	0.0231258i
$820$	−9.36894	+	6.02105i	−0.327178	+	0.210264i
$821$	−31.0077	−	9.10468i	−1.08218	−	0.317755i	−0.308427	−	0.951248i	$-0.599803\pi$
$821$	−31.0077	−	9.10468i	−1.08218	−	0.317755i	−0.773749	+	0.633493i	$0.781621\pi$
$822$	−4.87715	−	33.9213i	−0.170110	−	1.18314i
$823$	−13.3499	+	29.2321i	−0.465347	+	1.01897i	0.520889	+	0.853624i	$0.325600\pi$
$823$	−13.3499	+	29.2321i	−0.465347	+	1.01897i	−0.986236	+	0.165343i	$0.947127\pi$
$824$	1.37624	−	9.57195i	0.0479436	−	0.333455i
$825$	−6.51562	−	4.18734i	−0.226845	−	0.145784i
$826$	1.06051	+	1.22389i	0.0368998	+	0.0425847i
$827$	14.9243			0.518969			0.259484	−	0.965747i	$-0.416447\pi$
$827$	14.9243			0.518969			0.259484	+	0.965747i	$0.416447\pi$
$828$	1.17225	+	1.21434i	0.0407384	+	0.0422014i
$829$	2.91527			0.101252			0.0506258	−	0.998718i	$-0.483878\pi$
$829$	2.91527			0.101252			0.0506258	+	0.998718i	$0.483878\pi$
$830$	−0.690488	−	0.796866i	−0.0239672	−	0.0276596i
$831$	19.1893	+	12.3322i	0.665669	+	0.427799i
$832$	0.294209	−	2.04627i	0.0101999	−	0.0709415i
$833$	1.11189	−	2.43470i	0.0385247	−	0.0843572i
$834$	0.155639	+	1.08249i	0.00538933	+	0.0374836i
$835$	−16.2272	−	4.76473i	−0.561564	−	0.164890i
$836$	2.38533	−	1.53296i	0.0824984	−	0.0530185i
$837$	−7.42510	−	16.2587i	−0.256649	−	0.561983i
$838$	−25.5508	+	7.50239i	−0.882638	+	0.259166i
$839$	36.3768	−	41.9811i	1.25587	−	1.44935i	0.413448	−	0.910528i	$-0.364324\pi$
$839$	36.3768	−	41.9811i	1.25587	−	1.44935i	0.842420	−	0.538821i	$-0.181130\pi$
$840$	1.64589	−	1.89945i	0.0567885	−	0.0655374i
$841$	25.8354	−	7.58597i	0.890877	−	0.261585i
$842$	10.1528	+	22.2315i	0.349889	+	0.766150i
$843$	21.2539	−	13.6591i	0.732024	−	0.470443i
$844$	15.9749	+	4.69064i	0.549877	+	0.161459i
$845$	−1.70482	−	11.8573i	−0.0586478	−	0.407904i
$846$	0.587214	−	1.28582i	0.0201888	−	0.0442074i
$847$	−1.30306	+	9.06299i	−0.0447737	+	0.311408i
$848$	2.16197	+	1.38942i	0.0742425	+	0.0477128i
$849$	29.6894	+	34.2634i	1.01894	+	1.17592i
$850$	8.33876			0.286017
$851$	1.66584	−	2.14537i	0.0571043	−	0.0735422i
$852$	−9.46078			−0.324121
$853$	−2.35570	−	2.71863i	−0.0806578	−	0.0930841i	0.713986	−	0.700160i	$-0.246888\pi$
$853$	−2.35570	−	2.71863i	−0.0806578	−	0.0930841i	−0.794644	+	0.607076i	$0.792342\pi$
$854$	−5.20870	−	3.34743i	−0.178238	−	0.114547i
$855$	0.143576	−	0.998595i	0.00491021	−	0.0341512i
$856$	3.33946	−	7.31240i	0.114140	−	0.249933i
$857$	0.178639	+	1.24246i	0.00610219	+	0.0424417i	0.992645	−	0.121061i	$-0.0386298\pi$
$857$	0.178639	+	1.24246i	0.00610219	+	0.0424417i	−0.986543	+	0.163503i	$0.947721\pi$
$858$	−4.93122	−	1.44794i	−0.168349	−	0.0494317i
$859$	−32.1053	+	20.6328i	−1.09542	+	0.703983i	−0.958068	−	0.286540i	$-0.907495\pi$
$859$	−32.1053	+	20.6328i	−1.09542	+	0.703983i	−0.137350	+	0.990523i	$0.543859\pi$
$860$	−0.892131	−	1.95349i	−0.0304214	−	0.0666136i
$861$	14.2512	−	4.18452i	0.485679	−	0.142608i
$862$	−17.0215	+	19.6438i	−0.579753	+	0.669071i
$863$	7.35411	−	8.48710i	0.250337	−	0.288904i	−0.616648	−	0.787239i	$-0.711510\pi$
$863$	7.35411	−	8.48710i	0.250337	−	0.288904i	0.866984	+	0.498335i	$0.166055\pi$
$864$	−4.65177	+	1.36588i	−0.158256	+	0.0464682i
$865$	−5.60773	−	12.2792i	−0.190669	−	0.417506i
$866$	−7.65235	+	4.91787i	−0.260038	+	0.167116i
$867$	17.2785	+	5.07343i	0.586809	+	0.172303i
$868$	0.524679	+	3.64923i	0.0178088	+	0.123863i
$869$	3.96743	−	8.68745i	0.134586	−	0.294702i
$870$	0.515100	−	3.58260i	0.0174635	−	0.121462i
$871$	11.4836	+	7.38007i	0.389107	+	0.250064i
$872$	1.64542	+	1.89891i	0.0557208	+	0.0643052i
$873$	5.53857			0.187452
$874$	8.70346	+	4.95368i	0.294399	+	0.167561i
$875$	−11.1408			−0.376627
$876$	12.6855	+	14.6399i	0.428605	+	0.494636i
$877$	−11.7344	−	7.54126i	−0.396243	−	0.254650i	0.327312	−	0.944916i	$-0.393857\pi$
$877$	−11.7344	−	7.54126i	−0.396243	−	0.254650i	−0.723556	+	0.690266i	$0.757493\pi$
$878$	0.561603	−	3.90603i	0.0189532	−	0.131822i
$879$	1.32558	−	2.90261i	0.0447107	−	0.0979027i
$880$	0.265284	+	1.84509i	0.00894274	+	0.0621981i
$881$	−29.1790	−	8.56774i	−0.983067	−	0.288654i	−0.249577	−	0.968355i	$-0.580292\pi$
$881$	−29.1790	−	8.56774i	−0.983067	−	0.288654i	−0.733490	+	0.679701i	$0.762110\pi$
$882$	−0.296070	+	0.190272i	−0.00996918	+	0.00640680i
$883$	12.7606	+	27.9419i	0.429430	+	0.940320i	0.993419	+	0.114538i	$0.0365388\pi$
$883$	12.7606	+	27.9419i	0.429430	+	0.940320i	−0.563989	+	0.825782i	$0.690734\pi$
$884$	5.30917	−	1.55891i	0.178567	−	0.0524319i
$885$	−2.66542	+	3.07606i	−0.0895970	+	0.103401i
$886$	23.2493	−	26.8311i	0.781076	−	0.901409i
$887$	35.6306	−	10.4621i	1.19636	−	0.351282i	0.377899	−	0.925847i	$-0.376647\pi$
$887$	35.6306	−	10.4621i	1.19636	−	0.351282i	0.818459	+	0.574565i	$0.194829\pi$
$888$	−0.430749	−	0.943209i	−0.0144550	−	0.0316520i
$889$	−16.8683	+	10.8406i	−0.565744	+	0.363582i
$890$	13.4334	+	3.94439i	0.450287	+	0.132216i
$891$	1.91930	+	13.3491i	0.0642991	+	0.447210i
$892$	−3.75159	+	8.21483i	−0.125612	+	0.275053i
$893$	1.19360	−	8.30170i	0.0399424	−	0.277806i
$894$	−30.0002	−	19.2800i	−1.00336	−	0.644818i
$895$	−16.6308	−	19.1930i	−0.555907	−	0.641551i
$896$	1.00000			0.0334077
$897$	−3.54501	−	17.8022i	−0.118364	−	0.594397i
$898$	−28.7318			−0.958793
$899$	3.47683	+	4.01248i	0.115959	+	0.133824i
$900$	−0.922393	−	0.592786i	−0.0307464	−	0.0197595i
$901$	−0.978933	+	6.80863i	−0.0326130	+	0.226828i
$902$	−4.57617	+	10.0204i	−0.152370	+	0.333643i
$903$	0.407607	+	2.83497i	0.0135643	+	0.0943419i
$904$	−4.73116	−	1.38919i	−0.157356	−	0.0462039i
$905$	−14.1224	+	9.07591i	−0.469444	+	0.301693i
$906$	9.70351	+	21.2477i	0.322377	+	0.705908i
$907$	17.8953	−	5.25453i	0.594203	−	0.174474i	0.0292156	−	0.999573i	$-0.490699\pi$
$907$	17.8953	−	5.25453i	0.594203	−	0.174474i	0.564988	+	0.825099i	$0.308881\pi$
$908$	−8.30040	+	9.57917i	−0.275458	+	0.317896i
$909$	3.70491	−	4.27569i	0.122884	−	0.141816i
$910$	−2.72301	+	0.799549i	−0.0902670	+	0.0265048i
$911$	−2.21532	−	4.85088i	−0.0733969	−	0.160717i	0.869377	−	0.494149i	$-0.164520\pi$
$911$	−2.21532	−	4.85088i	−0.0733969	−	0.160717i	−0.942774	+	0.333432i	$0.891793\pi$
$912$	3.21616	−	2.06690i	0.106498	−	0.0684419i
$913$	−1.00070	−	0.293833i	−0.0331184	−	0.00972445i
$914$	0.165332	+	1.14991i	0.00546869	+	0.0380356i
$915$	6.46451	−	14.1553i	0.213710	−	0.467960i
$916$	2.27475	−	15.8212i	0.0751597	−	0.522748i
$917$	7.70012	+	4.94856i	0.254280	+	0.163416i
$918$	−8.49775	−	9.80693i	−0.280468	−	0.323677i
$919$	15.5118			0.511686			0.255843	−	0.966718i	$-0.417647\pi$
$919$	15.5118			0.511686			0.255843	+	0.966718i	$0.417647\pi$
$920$	−5.33925	+	3.85187i	−0.176030	+	0.126992i
$921$	11.1541			0.367539
$922$	−8.60060	−	9.92562i	−0.283246	−	0.326883i
$923$	8.98693	+	5.77555i	0.295808	+	0.190104i
$924$	0.353799	−	2.46073i	0.0116391	−	0.0809520i
$925$	−0.732991	+	1.60503i	−0.0241006	+	0.0527729i
$926$	−3.73929	−	26.0073i	−0.122881	−	0.854654i
$927$	−3.26552	−	0.958843i	−0.107254	−	0.0314925i
$928$	1.21148	−	0.778574i	0.0397689	−	0.0255579i
$929$	15.4160	+	33.7564i	0.505784	+	1.10751i	0.974546	+	0.224188i	$0.0719730\pi$
$929$	15.4160	+	33.7564i	0.505784	+	1.10751i	−0.468762	+	0.883325i	$0.655300\pi$
$930$	−8.89071	+	2.61055i	−0.291538	+	0.0856032i
$931$	−1.36745	+	1.57812i	−0.0448164	+	0.0517209i
$932$	−10.0768	+	11.6293i	−0.330077	+	0.380929i
$933$	−10.3167	+	3.02926i	−0.337754	+	0.0991734i
$934$	12.6949	+	27.7978i	0.415388	+	0.909573i
$935$	−4.19728	+	2.69743i	−0.137266	+	0.0882153i
$936$	−0.698094	−	0.204979i	−0.0228179	−	0.00669995i
$937$	−7.70530	−	53.5915i	−0.251721	−	1.75076i	−0.587875	−	0.808952i	$-0.700035\pi$
$937$	−7.70530	−	53.5915i	−0.251721	−	1.75076i	0.336154	−	0.941807i	$-0.390874\pi$
$938$	−2.74302	+	6.00637i	−0.0895627	+	0.196115i
$939$	4.22376	−	29.3769i	0.137837	−	0.958680i
$940$	4.63849	+	2.98098i	0.151291	+	0.0972288i
$941$	−10.9935	−	12.6872i	−0.358379	−	0.413592i	0.547717	−	0.836664i	$-0.315497\pi$
$941$	−10.9935	−	12.6872i	−0.358379	−	0.413592i	−0.906096	+	0.423072i	$0.860952\pi$
$942$	0.731015			0.0238178
$943$	−38.8505	+	2.09072i	−1.26515	+	0.0680833i
$944$	−1.61944			−0.0527084
$945$	4.35841	+	5.02987i	0.141779	+	0.163622i
$946$	−1.78702	−	1.14845i	−0.0581010	−	0.0373393i
$947$	−4.72912	+	32.8917i	−0.153676	+	1.06884i	0.756314	+	0.654208i	$0.226998\pi$
$947$	−4.72912	+	32.8917i	−0.153676	+	1.06884i	−0.909990	+	0.414630i	$0.863911\pi$
$948$	5.34931	−	11.7134i	0.173738	−	0.380432i
$949$	−3.11292	−	21.6508i	−0.101050	−	0.702815i
$950$	−6.24204	−	1.83283i	−0.202519	−	0.0594648i
$951$	10.1603	−	6.52965i	0.329471	−	0.211738i
$952$	1.11189	+	2.43470i	0.0360365	+	0.0789090i
$953$	−45.7792	+	13.4420i	−1.48294	+	0.435429i	−0.920279	−	0.391262i	$-0.872039\pi$
$953$	−45.7792	+	13.4420i	−1.48294	+	0.435429i	−0.562656	+	0.826691i	$0.690220\pi$
$954$	0.592297	−	0.683547i	0.0191763	−	0.0221307i
$955$	8.77243	−	10.1239i	0.283869	−	0.327602i
$956$	5.80726	−	1.70517i	0.187820	−	0.0551490i
$957$	−1.48724	−	3.25659i	−0.0480755	−	0.105271i
$958$	−22.4260	+	14.4123i	−0.724550	+	0.465640i
$959$	−17.9601	−	5.27357i	−0.579963	−	0.170292i
$960$	0.357685	+	2.48775i	0.0115442	+	0.0802919i
$961$	−7.23149	+	15.8347i	−0.233274	+	0.510798i
$962$	−0.166629	+	1.15893i	−0.00537233	+	0.0373653i
$963$	−2.38006	−	1.52957i	−0.0766964	−	0.0492898i
$964$	15.1525	+	17.4869i	0.488028	+	0.563214i
$965$	29.4161			0.946937
$966$	8.27958	−	2.92285i	0.266391	−	0.0940412i
$967$	−11.1291			−0.357889			−0.178944	−	0.983859i	$-0.557268\pi$
$967$	−11.1291			−0.357889			−0.178944	+	0.983859i	$0.557268\pi$
$968$	−5.99602	−	6.91978i	−0.192720	−	0.222410i
$969$	8.60829	+	5.53221i	0.276538	+	0.177720i
$970$	−3.07456	+	21.3841i	−0.0987183	+	0.686601i
$971$	−11.2269	+	24.5836i	−0.360290	+	0.788924i	0.639508	+	0.768785i	$0.279138\pi$
$971$	−11.2269	+	24.5836i	−0.360290	+	0.788924i	−0.999797	+	0.0201393i	$0.993589\pi$
$972$	0.517922	+	3.60223i	0.0166124	+	0.115542i
$973$	0.573140	+	0.168289i	0.0183740	+	0.00539510i
$974$	−36.2875	+	23.3205i	−1.16272	+	0.747238i
$975$	4.89844	+	10.7261i	0.156876	+	0.343510i
$976$	5.94080	−	1.74438i	0.190160	−	0.0558361i
$977$	5.47973	−	6.32394i	0.175312	−	0.202321i	−0.661293	−	0.750128i	$-0.729992\pi$
$977$	5.47973	−	6.32394i	0.175312	−	0.202321i	0.836605	+	0.547807i	$0.184537\pi$
$978$	−22.9225	+	26.4540i	−0.732981	+	0.845905i
$979$	13.2874	−	3.90154i	0.424668	−	0.124694i
$980$	−0.570276	−	1.24873i	−0.0182168	−	0.0398892i
$981$	0.743910	−	0.478082i	0.0237512	−	0.0152640i
$982$	33.0516	+	9.70484i	1.05472	+	0.309694i
$983$	1.58889	+	11.0510i	0.0506777	+	0.352471i	0.999345	+	0.0361947i	$0.0115236\pi$
$983$	1.58889	+	11.0510i	0.0506777	+	0.352471i	−0.948667	+	0.316277i	$0.897567\pi$
$984$	−6.17009	+	13.5106i	−0.196695	+	0.430702i
$985$	1.38293	−	9.61852i	0.0440639	−	0.306471i
$986$	3.24263	+	2.08391i	0.103266	+	0.0663652i
$987$	−4.81553	−	5.55742i	−0.153280	−	0.176895i
$988$	−4.31686			−0.137338
$989$	0.667120	−	7.47281i	0.0212132	−	0.237621i
$990$	0.656037			0.0208502
$991$	−9.95455	−	11.4882i	−0.316217	−	0.364934i	0.575283	−	0.817954i	$-0.304892\pi$
$991$	−9.95455	−	11.4882i	−0.316217	−	0.364934i	−0.891500	+	0.453021i	$0.850346\pi$
$992$	−3.10149	−	1.99321i	−0.0984725	−	0.0632844i
$993$	4.89575	−	34.0507i	0.155362	−	1.08057i
$994$	−2.14665	+	4.70051i	−0.0680876	+	0.149091i
$995$	−2.68351	−	18.6642i	−0.0850728	−	0.591695i
$996$	−1.34926	−	0.396177i	−0.0427528	−	0.0125534i
$997$	−35.9676	+	23.1150i	−1.13911	+	0.732059i	−0.967441	−	0.253096i	$-0.918551\pi$
$997$	−35.9676	+	23.1150i	−1.13911	+	0.732059i	−0.171665	+	0.985155i	$0.554915\pi$
$998$	−15.2305	−	33.3500i	−0.482112	−	1.05568i
$999$	2.63458	−	0.773584i	0.0833546	−	0.0244751i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	322.2.i.a.197.1	yes	10
23.4	even	11		7406.2.a.bg.1.4		5
23.16	even	11	inner	322.2.i.a.85.1	✓	10
23.19	odd	22		7406.2.a.bh.1.4		5

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
322.2.i.a.85.1	✓	10	23.16	even	11	inner
322.2.i.a.197.1	yes	10	1.1	even	1	trivial
7406.2.a.bg.1.4		5	23.4	even	11
7406.2.a.bh.1.4		5	23.19	odd	22

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:	\( N \)	\(=\)	\( 322 = 2 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	322.i (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.654861 + 0.755750i) q^{2} +(1.54019 + 0.989821i) q^{3} +(-0.142315 + 0.989821i) q^{4} +(-0.570276 + 1.24873i) q^{5} +(0.260554 + 1.81219i) q^{6} +(0.959493 + 0.281733i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(0.146201 + 0.320135i) q^{9} +O(q^{10})\)	\(q+(0.654861 + 0.755750i) q^{2} +(1.54019 + 0.989821i) q^{3} +(-0.142315 + 0.989821i) q^{4} +(-0.570276 + 1.24873i) q^{5} +(0.260554 + 1.81219i) q^{6} +(0.959493 + 0.281733i) q^{7} +(-0.841254 + 0.540641i) q^{8} +(0.146201 + 0.320135i) q^{9} +(-1.31718 + 0.386758i) q^{10} +(-0.889217 + 1.02621i) q^{11} +(-1.19894 + 1.38365i) q^{12} +(1.98357 - 0.582428i) q^{13} +(0.415415 + 0.909632i) q^{14} +(-2.11435 + 1.35881i) q^{15} +(-0.959493 - 0.281733i) q^{16} +(-0.380916 - 2.64933i) q^{17} +(-0.146201 + 0.320135i) q^{18} +(-0.297176 + 2.06690i) q^{19} +(-1.15486 - 0.742184i) q^{20} +(1.19894 + 1.38365i) q^{21} -1.35787 q^{22} +(-2.22381 - 4.24908i) q^{23} -1.83083 q^{24} +(2.04019 + 2.35451i) q^{25} +(1.73913 + 1.11767i) q^{26} +(0.689964 - 4.79880i) q^{27} +(-0.415415 + 0.909632i) q^{28} +(0.204947 + 1.42544i) q^{29} +(-2.41153 - 0.708089i) q^{30} +(3.10149 - 1.99321i) q^{31} +(-0.415415 - 0.909632i) q^{32} +(-2.38533 + 0.700397i) q^{33} +(1.75278 - 2.02282i) q^{34} +(-0.898983 + 1.03748i) q^{35} +(-0.337683 + 0.0991526i) q^{36} +(0.235275 + 0.515181i) q^{37} +(-1.75667 + 1.12894i) q^{38} +(3.63158 + 1.06633i) q^{39} +(-0.195368 - 1.35881i) q^{40} +(3.37010 - 7.37950i) q^{41} +(-0.260554 + 1.81219i) q^{42} +(1.31604 + 0.845770i) q^{43} +(-0.889217 - 1.02621i) q^{44} -0.483136 q^{45} +(1.75496 - 4.46320i) q^{46} -4.01650 q^{47} +(-1.19894 - 1.38365i) q^{48} +(0.841254 + 0.540641i) q^{49} +(-0.443376 + 3.08375i) q^{50} +(2.03568 - 4.45752i) q^{51} +(0.294209 + 2.04627i) q^{52} +(-2.46584 - 0.724037i) q^{53} +(4.07852 - 2.62111i) q^{54} +(-0.774362 - 1.69562i) q^{55} +(-0.959493 + 0.281733i) q^{56} +(-2.50357 + 2.88927i) q^{57} +(-0.943061 + 1.08835i) q^{58} +(1.55384 - 0.456250i) q^{59} +(-1.04408 - 2.28621i) q^{60} +(-5.20870 + 3.34743i) q^{61} +(3.53741 + 1.03868i) q^{62} +(0.0500861 + 0.348356i) q^{63} +(0.415415 - 0.909632i) q^{64} +(-0.403886 + 2.80909i) q^{65} +(-2.09138 - 1.34405i) q^{66} +(4.32409 + 4.99027i) q^{67} +2.67657 q^{68} +(0.780744 - 8.74557i) q^{69} -1.37279 q^{70} +(3.38398 + 3.90532i) q^{71} +(-0.296070 - 0.190272i) q^{72} +(1.50578 - 10.4730i) q^{73} +(-0.235275 + 0.515181i) q^{74} +(0.811746 + 5.64582i) q^{75} +(-2.00357 - 0.588302i) q^{76} +(-1.14231 + 0.734121i) q^{77} +(1.57230 + 3.44286i) q^{78} +(-6.74854 + 1.98155i) q^{79} +(0.898983 - 1.03748i) q^{80} +(6.50405 - 7.50607i) q^{81} +(7.78400 - 2.28559i) q^{82} +(0.319071 + 0.698667i) q^{83} +(-1.54019 + 0.989821i) q^{84} +(3.52552 + 1.03519i) q^{85} +(0.222635 + 1.54846i) q^{86} +(-1.09527 + 2.39831i) q^{87} +(0.193245 - 1.34405i) q^{88} +(-8.57960 - 5.51378i) q^{89} +(-0.316387 - 0.365130i) q^{90} +2.06731 q^{91} +(4.52231 - 1.59646i) q^{92} +6.74982 q^{93} +(-2.63025 - 3.03546i) q^{94} +(-2.41153 - 1.54980i) q^{95} +(0.260554 - 1.81219i) q^{96} +(6.53751 - 14.3152i) q^{97} +(0.142315 + 0.989821i) q^{98} +(-0.458530 - 0.134637i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 10 q + q^{2} - 3 q^{3} - q^{4} + 5 q^{5} + 3 q^{6} + q^{7} + q^{8} + 16 q^{9}+O(q^{10}) \) 10 * q + q^2 - 3 * q^3 - q^4 + 5 * q^5 + 3 * q^6 + q^7 + q^8 + 16 * q^9	\( 10 q + q^{2} - 3 q^{3} - q^{4} + 5 q^{5} + 3 q^{6} + q^{7} + q^{8} + 16 q^{9} - 5 q^{10} - 11 q^{11} - 3 q^{12} + 10 q^{13} - q^{14} - 7 q^{15} - q^{16} + q^{17} - 16 q^{18} + 3 q^{19} - 6 q^{20} + 3 q^{21} + 12 q^{23} - 8 q^{24} + 2 q^{25} - 10 q^{26} - 9 q^{27} + q^{28} + 2 q^{29} - 4 q^{30} - 5 q^{31} + q^{32} - 11 q^{33} - 12 q^{34} + 6 q^{35} - 6 q^{36} + 27 q^{37} - 3 q^{38} + 8 q^{39} - 5 q^{40} - 12 q^{41} - 3 q^{42} + 38 q^{43} - 11 q^{44} + 8 q^{45} + 10 q^{46} + 2 q^{47} - 3 q^{48} - q^{49} - 13 q^{50} + 36 q^{51} - q^{52} - 16 q^{53} + 9 q^{54} - 11 q^{55} - q^{56} - 13 q^{57} + 9 q^{58} - 5 q^{59} - 7 q^{60} - 26 q^{61} + 5 q^{62} + 6 q^{63} - q^{64} + 5 q^{65} - 11 q^{66} - 4 q^{67} + 12 q^{68} - 8 q^{69} - 6 q^{70} + q^{71} + 6 q^{72} + 9 q^{73} - 27 q^{74} + 17 q^{75} - 8 q^{76} - 11 q^{77} + 25 q^{78} - 50 q^{79} - 6 q^{80} + 2 q^{81} + 23 q^{82} - 29 q^{83} + 3 q^{84} + 28 q^{85} + 17 q^{86} - 16 q^{87} + 11 q^{88} + 7 q^{89} - 19 q^{90} + 12 q^{91} + 23 q^{92} + 40 q^{93} + 20 q^{94} - 4 q^{95} + 3 q^{96} + 12 q^{97} + q^{98} - 33 q^{99}+O(q^{100}) \) 10 * q + q^2 - 3 * q^3 - q^4 + 5 * q^5 + 3 * q^6 + q^7 + q^8 + 16 * q^9 - 5 * q^10 - 11 * q^11 - 3 * q^12 + 10 * q^13 - q^14 - 7 * q^15 - q^16 + q^17 - 16 * q^18 + 3 * q^19 - 6 * q^20 + 3 * q^21 + 12 * q^23 - 8 * q^24 + 2 * q^25 - 10 * q^26 - 9 * q^27 + q^28 + 2 * q^29 - 4 * q^30 - 5 * q^31 + q^32 - 11 * q^33 - 12 * q^34 + 6 * q^35 - 6 * q^36 + 27 * q^37 - 3 * q^38 + 8 * q^39 - 5 * q^40 - 12 * q^41 - 3 * q^42 + 38 * q^43 - 11 * q^44 + 8 * q^45 + 10 * q^46 + 2 * q^47 - 3 * q^48 - q^49 - 13 * q^50 + 36 * q^51 - q^52 - 16 * q^53 + 9 * q^54 - 11 * q^55 - q^56 - 13 * q^57 + 9 * q^58 - 5 * q^59 - 7 * q^60 - 26 * q^61 + 5 * q^62 + 6 * q^63 - q^64 + 5 * q^65 - 11 * q^66 - 4 * q^67 + 12 * q^68 - 8 * q^69 - 6 * q^70 + q^71 + 6 * q^72 + 9 * q^73 - 27 * q^74 + 17 * q^75 - 8 * q^76 - 11 * q^77 + 25 * q^78 - 50 * q^79 - 6 * q^80 + 2 * q^81 + 23 * q^82 - 29 * q^83 + 3 * q^84 + 28 * q^85 + 17 * q^86 - 16 * q^87 + 11 * q^88 + 7 * q^89 - 19 * q^90 + 12 * q^91 + 23 * q^92 + 40 * q^93 + 20 * q^94 - 4 * q^95 + 3 * q^96 + 12 * q^97 + q^98 - 33 * q^99

Introduction

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