LMFDB - Embedded newform 966.2.r.b.113.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(113,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 0, 13]))

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

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

chi := DirichletCharacter("966.113");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.r (of order $22$, 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:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$24$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			113.7
Character	$\chi$	$=$	966.113
Dual form			966.2.r.b.701.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.540641 + 0.841254i) q^{2} +(0.148133 - 1.72570i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(2.58447 + 0.758869i) q^{5} +(1.37167 + 1.05760i) q^{6} +(0.755750 + 0.654861i) q^{7} +(0.989821 + 0.142315i) q^{8} +(-2.95611 - 0.511269i) q^{9} +O(q^{10})$	\(q+(-0.540641 + 0.841254i) q^{2} +(0.148133 - 1.72570i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(2.58447 + 0.758869i) q^{5} +(1.37167 + 1.05760i) q^{6} +(0.755750 + 0.654861i) q^{7} +(0.989821 + 0.142315i) q^{8} +(-2.95611 - 0.511269i) q^{9} +(-2.03567 + 1.76392i) q^{10} +(2.53298 - 1.62785i) q^{11} +(-1.63129 + 0.582137i) q^{12} +(4.19717 + 4.84380i) q^{13} +(-0.959493 + 0.281733i) q^{14} +(1.69243 - 4.34762i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(0.169443 - 0.371028i) q^{17} +(2.02830 - 2.21043i) q^{18} +(-2.00442 + 0.915386i) q^{19} +(-0.383336 - 2.66616i) q^{20} +(1.24205 - 1.20719i) q^{21} +3.01096i q^{22} +(3.81055 + 2.91200i) q^{23} +(0.392219 - 1.68706i) q^{24} +(1.89734 + 1.21935i) q^{25} +(-6.34402 + 0.912133i) q^{26} +(-1.32020 + 5.02564i) q^{27} +(0.281733 - 0.959493i) q^{28} +(-1.04202 - 0.475875i) q^{29} +(2.74245 + 3.77426i) q^{30} +(-0.461944 + 3.21289i) q^{31} +(-0.281733 - 0.959493i) q^{32} +(-2.43397 - 4.61232i) q^{33} +(0.220521 + 0.343137i) q^{34} +(1.45626 + 2.26598i) q^{35} +(0.762947 + 2.90136i) q^{36} +(-0.703125 - 2.39462i) q^{37} +(0.313597 - 2.18112i) q^{38} +(8.98070 - 6.52555i) q^{39} +(2.45017 + 1.11895i) q^{40} +(-0.985879 + 3.35759i) q^{41} +(0.344054 + 1.69754i) q^{42} +(4.12471 - 0.593043i) q^{43} +(-2.53298 - 1.62785i) q^{44} +(-7.25200 - 3.56466i) q^{45} +(-4.50987 + 1.63129i) q^{46} -11.4007i q^{47} +(1.20719 + 1.24205i) q^{48} +(0.142315 + 0.989821i) q^{49} +(-2.05156 + 0.936916i) q^{50} +(-0.615185 - 0.347370i) q^{51} +(2.66250 - 5.83007i) q^{52} +(-0.893468 + 1.03112i) q^{53} +(-3.51409 - 3.82769i) q^{54} +(7.78175 - 2.28493i) q^{55} +(0.654861 + 0.755750i) q^{56} +(1.28277 + 3.59463i) q^{57} +(0.963691 - 0.619327i) q^{58} +(6.60957 - 5.72723i) q^{59} +(-4.65780 + 0.266578i) q^{60} +(-11.9290 - 1.71514i) q^{61} +(-2.45311 - 2.12563i) q^{62} +(-1.89927 - 2.32223i) q^{63} +(0.959493 + 0.281733i) q^{64} +(7.17167 + 15.7038i) q^{65} +(5.19603 + 0.446024i) q^{66} +(4.09782 - 6.37633i) q^{67} -0.407888 q^{68} +(5.58972 - 6.14452i) q^{69} -2.69358 q^{70} +(5.46033 - 8.49644i) q^{71} +(-2.85326 - 0.926764i) q^{72} +(6.68946 + 14.6479i) q^{73} +(2.39462 + 0.703125i) q^{74} +(2.38529 - 3.09363i) q^{75} +(1.66533 + 1.44302i) q^{76} +(2.98032 + 0.428505i) q^{77} +(0.634310 + 11.0830i) q^{78} +(-4.84040 + 4.19423i) q^{79} +(-2.26598 + 1.45626i) q^{80} +(8.47721 + 3.02274i) q^{81} +(-2.29158 - 2.64463i) q^{82} +(6.80404 - 1.99785i) q^{83} +(-1.61407 - 0.628320i) q^{84} +(0.719482 - 0.830327i) q^{85} +(-1.73108 + 3.79055i) q^{86} +(-0.975578 + 1.72773i) q^{87} +(2.73887 - 1.25080i) q^{88} +(-1.00754 - 7.00759i) q^{89} +(6.91951 - 4.17357i) q^{90} +6.40926i q^{91} +(1.06589 - 4.67588i) q^{92} +(5.47607 + 1.27312i) q^{93} +(9.59089 + 6.16369i) q^{94} +(-5.87502 + 0.844700i) q^{95} +(-1.69754 + 0.344054i) q^{96} +(2.44436 - 8.32472i) q^{97} +(-0.909632 - 0.415415i) q^{98} +(-8.32005 + 3.51707i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 4 q^{3} + 24 q^{4} + 4 q^{5} + 4 q^{9}+O(q^{10}) $ 240 * q - 4 * q^3 + 24 * q^4 + 4 * q^5 + 4 * q^9	$ 240 q - 4 q^{3} + 24 q^{4} + 4 q^{5} + 4 q^{9} + 4 q^{12} - 8 q^{13} - 24 q^{14} + 26 q^{15} - 24 q^{16} - 32 q^{17} + 40 q^{18} - 4 q^{20} + 8 q^{23} + 12 q^{25} + 116 q^{27} + 4 q^{30} + 16 q^{31} + 2 q^{33} - 4 q^{36} + 22 q^{37} + 8 q^{39} - 154 q^{41} - 4 q^{42} + 22 q^{43} - 24 q^{45} + 4 q^{46} - 4 q^{48} + 24 q^{49} - 88 q^{50} - 24 q^{51} + 8 q^{52} + 108 q^{53} + 12 q^{54} - 16 q^{55} + 24 q^{56} - 70 q^{57} - 4 q^{58} - 22 q^{59} - 26 q^{60} + 4 q^{63} + 24 q^{64} - 76 q^{66} - 44 q^{67} + 32 q^{68} - 86 q^{69} + 4 q^{70} + 4 q^{72} - 12 q^{73} + 16 q^{74} - 26 q^{75} - 78 q^{78} + 4 q^{80} - 168 q^{81} + 8 q^{82} - 16 q^{83} - 28 q^{85} - 16 q^{86} + 156 q^{87} - 24 q^{89} - 126 q^{90} - 8 q^{92} - 16 q^{93} - 8 q^{94} + 132 q^{97} - 172 q^{99}+O(q^{100}) $ 240 * q - 4 * q^3 + 24 * q^4 + 4 * q^5 + 4 * q^9 + 4 * q^12 - 8 * q^13 - 24 * q^14 + 26 * q^15 - 24 * q^16 - 32 * q^17 + 40 * q^18 - 4 * q^20 + 8 * q^23 + 12 * q^25 + 116 * q^27 + 4 * q^30 + 16 * q^31 + 2 * q^33 - 4 * q^36 + 22 * q^37 + 8 * q^39 - 154 * q^41 - 4 * q^42 + 22 * q^43 - 24 * q^45 + 4 * q^46 - 4 * q^48 + 24 * q^49 - 88 * q^50 - 24 * q^51 + 8 * q^52 + 108 * q^53 + 12 * q^54 - 16 * q^55 + 24 * q^56 - 70 * q^57 - 4 * q^58 - 22 * q^59 - 26 * q^60 + 4 * q^63 + 24 * q^64 - 76 * q^66 - 44 * q^67 + 32 * q^68 - 86 * q^69 + 4 * q^70 + 4 * q^72 - 12 * q^73 + 16 * q^74 - 26 * q^75 - 78 * q^78 + 4 * q^80 - 168 * q^81 + 8 * q^82 - 16 * q^83 - 28 * q^85 - 16 * q^86 + 156 * q^87 - 24 * q^89 - 126 * q^90 - 8 * q^92 - 16 * q^93 - 8 * q^94 + 132 * q^97 - 172 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$-1$	$1$	$e\left(\frac{13}{22}\right)$

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 $

$2$	−0.540641	+	0.841254i	−0.382291	+	0.594856i
$2$	−0.540641	+	0.841254i	−0.382291	+	0.594856i
$3$	0.148133	−	1.72570i	0.0855248	−	0.996336i
$3$	0.148133	−	1.72570i	0.0855248	−	0.996336i
$4$	−0.415415	−	0.909632i	−0.207708	−	0.454816i
$5$	2.58447	+	0.758869i	1.15581	+	0.339377i	0.802803	−	0.596244i	$-0.203341\pi$
$5$	2.58447	+	0.758869i	1.15581	+	0.339377i	0.353007	+	0.935621i	$0.385159\pi$
$6$	1.37167	+	1.05760i	0.559981	+	0.431765i
$7$	0.755750	+	0.654861i	0.285646	+	0.247514i
$7$	0.755750	+	0.654861i	0.285646	+	0.247514i
$8$	0.989821	+	0.142315i	0.349955	+	0.0503159i
$9$	−2.95611	−	0.511269i	−0.985371	−	0.170423i
$10$	−2.03567	+	1.76392i	−0.643736	+	0.557800i
$11$	2.53298	−	1.62785i	0.763723	−	0.490815i	−0.0998725	−	0.995000i	$-0.531843\pi$
$11$	2.53298	−	1.62785i	0.763723	−	0.490815i	0.863596	+	0.504185i	$0.168207\pi$
$12$	−1.63129	+	0.582137i	−0.470914	+	0.168048i
$13$	4.19717	+	4.84380i	1.16409	+	1.34343i	0.928393	+	0.371600i	$0.121191\pi$
$13$	4.19717	+	4.84380i	1.16409	+	1.34343i	0.235693	+	0.971827i	$0.424264\pi$
$14$	−0.959493	+	0.281733i	−0.256435	+	0.0752962i
$15$	1.69243	−	4.34762i	0.436984	−	1.12255i
$16$	−0.654861	+	0.755750i	−0.163715	+	0.188937i
$17$	0.169443	−	0.371028i	0.0410959	−	0.0899875i	−0.887971	−	0.459900i	$-0.847885\pi$
$17$	0.169443	−	0.371028i	0.0410959	−	0.0899875i	0.929066	+	0.369913i	$0.120612\pi$
$18$	2.02830	−	2.21043i	0.478075	−	0.521003i
$19$	−2.00442	+	0.915386i	−0.459845	+	0.210004i	−0.631848	−	0.775092i	$-0.717703\pi$
$19$	−2.00442	+	0.915386i	−0.459845	+	0.210004i	0.172003	+	0.985096i	$0.444976\pi$
$20$	−0.383336	−	2.66616i	−0.0857166	−	0.596172i
$21$	1.24205	−	1.20719i	0.271037	−	0.263431i
$22$			3.01096i			0.641939i
$23$	3.81055	+	2.91200i	0.794554	+	0.607193i
$23$	3.81055	+	2.91200i	0.794554	+	0.607193i
$24$	0.392219	−	1.68706i	0.0800614	−	0.344369i
$25$	1.89734	+	1.21935i	0.379468	+	0.243870i
$26$	−6.34402	+	0.912133i	−1.24417	+	0.178884i
$27$	−1.32020	+	5.02564i	−0.254072	+	0.967185i
$28$	0.281733	−	0.959493i	0.0532424	−	0.181327i
$29$	−1.04202	−	0.475875i	−0.193499	−	0.0883678i	0.316309	−	0.948656i	$-0.397556\pi$
$29$	−1.04202	−	0.475875i	−0.193499	−	0.0883678i	−0.509808	+	0.860288i	$0.670284\pi$
$30$	2.74245	+	3.77426i	0.500701	+	0.689083i
$31$	−0.461944	+	3.21289i	−0.0829676	+	0.577052i	0.905353	+	0.424661i	$0.139607\pi$
$31$	−0.461944	+	3.21289i	−0.0829676	+	0.577052i	−0.988320	+	0.152392i	$0.951303\pi$
$32$	−0.281733	−	0.959493i	−0.0498038	−	0.169616i
$33$	−2.43397	−	4.61232i	−0.423699	−	0.802902i
$34$	0.220521	+	0.343137i	0.0378190	+	0.0588476i
$35$	1.45626	+	2.26598i	0.246153	+	0.383021i
$36$	0.762947	+	2.90136i	0.127158	+	0.483561i
$37$	−0.703125	−	2.39462i	−0.115593	−	0.393674i	0.881289	−	0.472577i	$-0.156676\pi$
$37$	−0.703125	−	2.39462i	−0.115593	−	0.393674i	−0.996882	+	0.0789035i	$0.974858\pi$
$38$	0.313597	−	2.18112i	0.0508722	−	0.353824i
$39$	8.98070	−	6.52555i	1.43806	−	1.04492i
$40$	2.45017	+	1.11895i	0.387405	+	0.176922i
$41$	−0.985879	+	3.35759i	−0.153968	+	0.524368i	−0.999961	−	0.00882643i	$-0.997190\pi$
$41$	−0.985879	+	3.35759i	−0.153968	+	0.524368i	0.845993	+	0.533194i	$0.179009\pi$
$42$	0.344054	+	1.69754i	0.0530887	+	0.261935i
$43$	4.12471	−	0.593043i	0.629012	−	0.0904382i	0.179566	−	0.983746i	$-0.442531\pi$
$43$	4.12471	−	0.593043i	0.629012	−	0.0904382i	0.449446	+	0.893308i	$0.351622\pi$
$44$	−2.53298	−	1.62785i	−0.381862	−	0.245407i
$45$	−7.25200	−	3.56466i	−1.08106	−	0.531389i
$46$	−4.50987	+	1.63129i	−0.664943	+	0.240521i
$47$		−	11.4007i		−	1.66296i	−0.555551	−	0.831482i	$-0.687493\pi$
$47$		−	11.4007i		−	1.66296i	0.555551	−	0.831482i	$-0.312507\pi$
$48$	1.20719	+	1.24205i	0.174243	+	0.179274i
$49$	0.142315	+	0.989821i	0.0203307	+	0.141403i
$50$	−2.05156	+	0.936916i	−0.290135	+	0.132500i
$51$	−0.615185	−	0.347370i	−0.0861431	−	0.0486415i
$52$	2.66250	−	5.83007i	0.369223	−	0.808485i
$53$	−0.893468	+	1.03112i	−0.122727	+	0.141635i	−0.813788	−	0.581162i	$-0.802598\pi$
$53$	−0.893468	+	1.03112i	−0.122727	+	0.141635i	0.691061	+	0.722797i	$0.257144\pi$
$54$	−3.51409	−	3.82769i	−0.478207	−	0.520882i
$55$	7.78175	−	2.28493i	1.04929	−	0.308099i
$56$	0.654861	+	0.755750i	0.0875094	+	0.100991i
$57$	1.28277	+	3.59463i	0.169906	+	0.476120i
$58$	0.963691	−	0.619327i	0.126539	−	0.0813216i
$59$	6.60957	−	5.72723i	0.860493	−	0.745622i	−0.108135	−	0.994136i	$-0.534488\pi$
$59$	6.60957	−	5.72723i	0.860493	−	0.745622i	0.968628	+	0.248515i	$0.0799424\pi$
$60$	−4.65780	+	0.266578i	−0.601319	+	0.0344150i
$61$	−11.9290	−	1.71514i	−1.52736	−	0.219601i	−0.673139	−	0.739516i	$-0.735054\pi$
$61$	−11.9290	−	1.71514i	−1.52736	−	0.219601i	−0.854218	+	0.519915i	$0.825963\pi$
$62$	−2.45311	−	2.12563i	−0.311545	−	0.269956i
$63$	−1.89927	−	2.32223i	−0.239286	−	0.292574i
$64$	0.959493	+	0.281733i	0.119937	+	0.0352166i
$65$	7.17167	+	15.7038i	0.889536	+	1.94781i
$66$	5.19603	+	0.446024i	0.639587	+	0.0549018i
$67$	4.09782	−	6.37633i	0.500629	−	0.778993i	−0.495340	−	0.868699i	$-0.664956\pi$
$67$	4.09782	−	6.37633i	0.500629	−	0.778993i	0.995968	+	0.0897062i	$0.0285928\pi$
$68$	−0.407888			−0.0494637
$69$	5.58972	−	6.14452i	0.672923	−	0.739713i
$70$	−2.69358			−0.321944
$71$	5.46033	−	8.49644i	0.648022	−	1.00834i	−0.349427	−	0.936963i	$-0.613624\pi$
$71$	5.46033	−	8.49644i	0.648022	−	1.00834i	0.997449	−	0.0713782i	$-0.0227397\pi$
$72$	−2.85326	−	0.926764i	−0.336260	−	0.109220i
$73$	6.68946	+	14.6479i	0.782942	+	1.71440i	0.695831	+	0.718205i	$0.255036\pi$
$73$	6.68946	+	14.6479i	0.782942	+	1.71440i	0.0871110	+	0.996199i	$0.472237\pi$
$74$	2.39462	+	0.703125i	0.278369	+	0.0817367i
$75$	2.38529	−	3.09363i	0.275430	−	0.357221i
$76$	1.66533	+	1.44302i	0.191026	+	0.165525i
$77$	2.98032	+	0.428505i	0.339638	+	0.0488326i
$78$	0.634310	+	11.0830i	0.0718215	+	1.25491i
$79$	−4.84040	+	4.19423i	−0.544587	+	0.471887i	−0.883173	−	0.469048i	$-0.844597\pi$
$79$	−4.84040	+	4.19423i	−0.544587	+	0.471887i	0.338585	+	0.940936i	$0.390052\pi$
$80$	−2.26598	+	1.45626i	−0.253345	+	0.162815i
$81$	8.47721	+	3.02274i	0.941912	+	0.335860i
$82$	−2.29158	−	2.64463i	−0.253063	−	0.292050i
$83$	6.80404	−	1.99785i	0.746840	−	0.219292i	0.113899	−	0.993492i	$-0.463666\pi$
$83$	6.80404	−	1.99785i	0.746840	−	0.219292i	0.632941	+	0.774200i	$0.281848\pi$
$84$	−1.61407	−	0.628320i	−0.176109	−	0.0685553i
$85$	0.719482	−	0.830327i	0.0780388	−	0.0900616i
$86$	−1.73108	+	3.79055i	−0.186668	+	0.408745i
$87$	−0.975578	+	1.72773i	−0.104593	+	0.185232i
$88$	2.73887	−	1.25080i	0.291964	−	0.133336i
$89$	−1.00754	−	7.00759i	−0.106799	−	0.742803i	−0.970900	−	0.239485i	$-0.923021\pi$
$89$	−1.00754	−	7.00759i	−0.106799	−	0.742803i	0.864101	−	0.503318i	$-0.167888\pi$
$90$	6.91951	−	4.17357i	0.729381	−	0.439933i
$91$			6.40926i			0.671873i
$92$	1.06589	−	4.67588i	0.111126	−	0.487495i
$93$	5.47607	+	1.27312i	0.567842	+	0.132016i
$94$	9.59089	+	6.16369i	0.989225	+	0.635736i
$95$	−5.87502	+	0.844700i	−0.602764	+	0.0866644i
$96$	−1.69754	+	0.344054i	−0.173254	+	0.0351149i
$97$	2.44436	−	8.32472i	0.248187	−	0.845247i	−0.737310	−	0.675554i	$-0.763904\pi$
$97$	2.44436	−	8.32472i	0.248187	−	0.845247i	0.985497	−	0.169693i	$-0.0542775\pi$
$98$	−0.909632	−	0.415415i	−0.0918867	−	0.0419633i
$99$	−8.32005	+	3.51707i	−0.836197	+	0.353479i
$100$	0.320973	−	2.23242i	0.0320973	−	0.223242i
$101$	−1.78320	−	6.07303i	−0.177435	−	0.604290i	−0.999396	−	0.0347454i	$-0.988938\pi$
$101$	−1.78320	−	6.07303i	−0.177435	−	0.604290i	0.821961	−	0.569544i	$-0.192880\pi$
$102$	0.624820	−	0.329724i	0.0618664	−	0.0326475i
$103$	4.87592	+	7.58707i	0.480438	+	0.747577i	0.993870	−	0.110554i	$-0.0352624\pi$
$103$	4.87592	+	7.58707i	0.480438	+	0.747577i	−0.513432	+	0.858130i	$0.671626\pi$
$104$	3.46511	+	5.39181i	0.339782	+	0.528711i
$105$	4.12614	−	2.17741i	0.402670	−	0.212493i
$106$	−0.384386	−	1.30910i	−0.0373348	−	0.127151i
$107$	0.531732	−	3.69828i	0.0514045	−	0.357526i	−0.947843	−	0.318738i	$-0.896741\pi$
$107$	0.531732	−	3.69828i	0.0514045	−	0.357526i	0.999247	−	0.0387884i	$-0.0123498\pi$
$108$	5.11991	−	0.886833i	0.492664	−	0.0853355i
$109$	−4.13587	−	1.88879i	−0.396145	−	0.180913i	0.207375	−	0.978262i	$-0.433508\pi$
$109$	−4.13587	−	1.88879i	−0.396145	−	0.180913i	−0.603519	+	0.797348i	$0.706235\pi$
$110$	−2.28493	+	7.78175i	−0.217859	+	0.741960i
$111$	−4.23657	+	0.858663i	−0.402118	+	0.0815007i
$112$	−0.989821	+	0.142315i	−0.0935293	+	0.0134475i
$113$	5.36955	+	3.45080i	0.505125	+	0.324624i	0.768263	−	0.640134i	$-0.221121\pi$
$113$	5.36955	+	3.45080i	0.505125	+	0.324624i	−0.263138	+	0.964758i	$0.584758\pi$
$114$	−3.71751	−	0.864273i	−0.348177	−	0.0809466i
$115$	7.63843	+	10.4177i	0.712287	+	0.971454i
$116$			1.14554i			0.106361i
$117$	−9.93084	−	16.4647i	−0.918106	−	1.52216i
$118$	1.24465	+	8.65670i	0.114579	+	0.796914i
$119$	0.371028	−	0.169443i	0.0340121	−	0.0155328i
$120$	2.29394	−	4.06251i	0.209407	−	0.370855i
$121$	−0.803456	+	1.75932i	−0.0730415	+	0.159939i
$122$	7.89219	−	9.10807i	0.714525	−	0.824606i
$123$	5.64817	+	2.19871i	0.509279	+	0.198251i
$124$	3.11445	−	0.914484i	0.279686	−	0.0821231i
$125$	−4.84130	−	5.58716i	−0.433019	−	0.499731i
$126$	2.98041	−	0.342274i	0.265516	−	0.0304922i
$127$	−4.30135	+	2.76431i	−0.381683	+	0.245293i	−0.717387	−	0.696675i	$-0.754662\pi$
$127$	−4.30135	+	2.76431i	−0.381683	+	0.245293i	0.335704	+	0.941967i	$0.391026\pi$
$128$	−0.755750	+	0.654861i	−0.0667995	+	0.0578821i
$129$	−0.412411	−	7.20587i	−0.0363107	−	0.634442i
$130$	−17.0881	−	2.45690i	−1.49873	−	0.215485i
$131$	14.3752	+	12.4562i	1.25597	+	1.08830i	0.992321	+	0.123686i	$0.0394714\pi$
$131$	14.3752	+	12.4562i	1.25597	+	1.08830i	0.263649	+	0.964619i	$0.415074\pi$
$132$	−3.18441	+	4.13004i	−0.277167	+	0.359474i
$133$	−2.11429	−	0.620811i	−0.183332	−	0.0538311i
$134$	3.14866	+	6.89461i	0.272003	+	0.595604i
$135$	−7.22582	+	11.9868i	−0.621900	+	1.03166i
$136$	0.220521	−	0.343137i	0.0189095	−	0.0294238i
$137$	−5.50006			−0.469902			−0.234951	−	0.972007i	$-0.575493\pi$
$137$	−5.50006			−0.469902			−0.234951	+	0.972007i	$0.575493\pi$
$138$	2.14707	+	8.02434i	0.182770	+	0.683078i
$139$	−7.81851			−0.663157			−0.331579	−	0.943428i	$-0.607581\pi$
$139$	−7.81851			−0.663157			−0.331579	+	0.943428i	$0.607581\pi$
$140$	1.45626	−	2.26598i	0.123076	−	0.191511i
$141$	−19.6743	−	1.68883i	−1.65687	−	0.142225i
$142$	4.19558	+	9.18704i	0.352085	+	0.770959i
$143$	18.5163	+	5.43689i	1.54841	+	0.454655i
$144$	2.32223	−	1.89927i	0.193519	−	0.158273i
$145$	−2.33195	−	2.02064i	−0.193658	−	0.167805i
$146$	−15.9392	−	2.29171i	−1.31914	−	0.189663i
$147$	1.72922	−	0.0989678i	0.142624	−	0.00816273i
$148$	−1.88614	+	1.63435i	−0.155040	+	0.134343i
$149$	−17.5850	+	11.3012i	−1.44062	+	0.925832i	−0.441024	+	0.897495i	$0.645385\pi$
$149$	−17.5850	+	11.3012i	−1.44062	+	0.925832i	−0.999598	+	0.0283365i	$0.990979\pi$
$150$	1.31294	+	3.67918i	0.107201	+	0.300404i
$151$	−6.45218	−	7.44621i	−0.525071	−	0.605964i	0.429822	−	0.902913i	$-0.358576\pi$
$151$	−6.45218	−	7.44621i	−0.525071	−	0.605964i	−0.954893	+	0.296950i	$0.904031\pi$
$152$	−2.11429	+	0.620811i	−0.171491	+	0.0503544i
$153$	−0.690587	+	1.01017i	−0.0558307	+	0.0816674i
$154$	−1.97176	+	2.27553i	−0.158889	+	0.183368i
$155$	−3.63204	+	7.95307i	−0.291733	+	0.638806i
$156$	−9.66657	−	5.45832i	−0.773945	−	0.437015i
$157$	−20.1379	+	9.19668i	−1.60718	+	0.733975i	−0.998244	−	0.0592440i	$-0.981131\pi$
$157$	−20.1379	+	9.19668i	−1.60718	+	0.733975i	−0.608937	+	0.793219i	$0.708404\pi$
$158$	−0.911493	−	6.33957i	−0.0725145	−	0.504349i
$159$	1.64705	+	1.69461i	0.130620	+	0.134391i
$160$		−	2.69358i		−	0.212946i
$161$	0.972867	+	4.69612i	0.0766727	+	0.370106i
$162$	−7.12601	+	5.49727i	−0.559872	+	0.431906i
$163$	−19.0715	−	12.2565i	−1.49379	−	0.960004i	−0.995676	−	0.0928948i	$-0.970388\pi$
$163$	−19.0715	−	12.2565i	−1.49379	−	0.960004i	−0.498119	−	0.867109i	$-0.665976\pi$
$164$	3.46372	−	0.498008i	0.270471	−	0.0388879i
$165$	−2.79037	−	13.7675i	−0.217230	−	1.07180i
$166$	−1.99785	+	6.80404i	−0.155063	+	0.528096i
$167$	−16.6470	−	7.60242i	−1.28818	−	0.588293i	−0.350752	−	0.936468i	$-0.614074\pi$
$167$	−16.6470	−	7.60242i	−1.28818	−	0.588293i	−0.937429	+	0.348176i	$0.886801\pi$
$168$	1.40121	−	1.01814i	0.108105	−	0.0785516i
$169$	−3.99600	+	27.7928i	−0.307385	+	2.13791i
$170$	0.309534	+	1.05418i	0.0237402	+	0.0808515i
$171$	6.39329	−	1.68119i	0.488907	−	0.128564i
$172$	−2.25292	−	3.50561i	−0.171783	−	0.267300i
$173$	−5.79640	−	9.01938i	−0.440692	−	0.685731i	0.547867	−	0.836566i	$-0.315440\pi$
$173$	−5.79640	−	9.01938i	−0.440692	−	0.685731i	−0.988559	+	0.150835i	$0.951804\pi$
$174$	−0.926020	−	1.75479i	−0.0702014	−	0.133030i
$175$	0.635412	+	2.16402i	0.0480327	+	0.163584i
$176$	−0.428505	+	2.98032i	−0.0322998	+	0.224650i
$177$	−8.90441	−	12.2546i	−0.669296	−	0.921110i
$178$	6.43987	+	2.94099i	0.482689	+	0.220437i
$179$	1.66725	−	5.67812i	0.124616	−	0.424402i	−0.873426	−	0.486957i	$-0.838107\pi$
$179$	1.66725	−	5.67812i	0.124616	−	0.424402i	0.998042	+	0.0625550i	$0.0199249\pi$
$180$	−0.229941	+	8.07747i	−0.0171388	+	0.602059i
$181$	21.8818	−	3.14613i	1.62646	−	0.233850i	0.732100	−	0.681197i	$-0.238540\pi$
$181$	21.8818	−	3.14613i	1.62646	−	0.233850i	0.894360	+	0.447347i	$0.147631\pi$
$182$	−5.39181	−	3.46511i	−0.399668	−	0.256851i
$183$	−4.72691	+	20.3319i	−0.349423	+	1.50298i
$184$	3.35734	+	3.42465i	0.247506	+	0.252469i
$185$		−	6.72242i		−	0.494242i
$186$	−4.03160	+	3.91847i	−0.295611	+	0.287316i
$187$	−0.174782	−	1.21564i	−0.0127813	−	0.0888961i
$188$	−10.3705	+	4.73603i	−0.756343	+	0.345410i
$189$	−4.28883	+	2.93358i	−0.311967	+	0.213387i
$190$	2.46567	−	5.39906i	0.178878	−	0.391689i
$191$	−4.59116	+	5.29848i	−0.332204	+	0.383384i	−0.897137	−	0.441753i	$-0.854357\pi$
$191$	−4.59116	+	5.29848i	−0.332204	+	0.383384i	0.564932	+	0.825137i	$0.308902\pi$
$192$	0.628320	−	1.61407i	0.0453451	−	0.116485i
$193$	−10.8761	+	3.19351i	−0.782878	+	0.229874i	−0.648660	−	0.761078i	$-0.724670\pi$
$193$	−10.8761	+	3.19351i	−0.782878	+	0.229874i	−0.134218	+	0.990952i	$0.542852\pi$
$194$	5.68168	+	6.55701i	0.407921	+	0.470766i
$195$	28.1624	−	10.0499i	2.01675	−	0.719690i
$196$	0.841254	−	0.540641i	0.0600895	−	0.0386172i
$197$	14.1388	−	12.2513i	1.00735	−	0.872870i	0.0154445	−	0.999881i	$-0.495084\pi$
$197$	14.1388	−	12.2513i	1.00735	−	0.872870i	0.991901	+	0.127011i	$0.0405382\pi$
$198$	1.53941	−	8.90075i	0.109401	−	0.632548i
$199$	1.27383	+	0.183149i	0.0902993	+	0.0129831i	0.187316	−	0.982300i	$-0.440021\pi$
$199$	1.27383	+	0.183149i	0.0902993	+	0.0129831i	−0.0970170	+	0.995283i	$0.530930\pi$
$200$	1.70450	+	1.47696i	0.120526	+	0.104437i
$201$	−10.3966	−	8.01618i	−0.733323	−	0.565417i
$202$	6.07303	+	1.78320i	0.427297	+	0.125466i
$203$	−0.475875	−	1.04202i	−0.0333999	−	0.0731356i
$204$	−0.0604218	+	0.703894i	−0.00423038	+	0.0492825i
$205$	−5.09595	+	7.92945i	−0.355917	+	0.553817i
$206$	−9.01877			−0.628368
$207$	−9.77560	−	10.5564i	−0.679451	−	0.733721i
$208$	−6.40926			−0.444402
$209$	−3.58704	+	5.58155i	−0.248121	+	0.386084i
$210$	−0.399009	+	4.64832i	−0.0275342	+	0.320765i
$211$	−5.49349	−	12.0291i	−0.378187	−	0.828115i	−0.999024	−	0.0441746i	$-0.985934\pi$
$211$	−5.49349	−	12.0291i	−0.378187	−	0.828115i	0.620837	−	0.783940i	$-0.286793\pi$
$212$	1.30910	+	0.384386i	0.0899092	+	0.0263997i
$213$	−13.8535	−	10.6815i	−0.949225	−	0.731886i
$214$	2.82371	+	2.44676i	0.193025	+	0.167257i
$215$	11.1102	+	1.59741i	0.757711	+	0.108942i
$216$	−2.02198	+	4.78660i	−0.137579	+	0.325687i
$217$	−2.45311	+	2.12563i	−0.166528	+	0.144297i
$218$	3.82497	−	2.45816i	0.259060	−	0.166488i
$219$	26.2688	−	9.37419i	1.77508	−	0.633449i
$220$	−5.31110	−	6.12933i	−0.358074	−	0.413239i
$221$	2.50837	−	0.736523i	0.168731	−	0.0495439i
$222$	1.56811	−	4.02826i	0.105245	−	0.270359i
$223$	−1.70708	+	1.97007i	−0.114314	+	0.131926i	−0.810023	−	0.586399i	$-0.800545\pi$
$223$	−1.70708	+	1.97007i	−0.114314	+	0.131926i	0.695708	+	0.718324i	$0.255091\pi$
$224$	0.415415	−	0.909632i	0.0277561	−	0.0607773i
$225$	−4.98534	−	4.57458i	−0.332356	−	0.304972i
$226$	−5.80600	+	2.65151i	−0.386209	+	0.176376i
$227$	0.742956	+	5.16737i	0.0493117	+	0.342971i	0.999509	+	0.0313225i	$0.00997190\pi$
$227$	0.742956	+	5.16737i	0.0493117	+	0.342971i	−0.950198	+	0.311648i	$0.899119\pi$
$228$	2.73691	−	2.66011i	0.181256	−	0.176170i
$229$		−	23.2900i		−	1.53905i	−0.638618	−	0.769524i	$-0.720493\pi$
$229$		−	23.2900i		−	1.53905i	0.638618	−	0.769524i	$-0.279507\pi$
$230$	−12.8936	+	0.793630i	−0.850176	+	0.0523304i
$231$	1.18096	−	5.07967i	0.0777012	−	0.334218i
$232$	−0.963691	−	0.619327i	−0.0632694	−	0.0406608i
$233$	−2.72163	+	0.391311i	−0.178300	+	0.0256356i	−0.230886	−	0.972981i	$-0.574163\pi$
$233$	−2.72163	+	0.391311i	−0.178300	+	0.0256356i	0.0525866	+	0.998616i	$0.483253\pi$
$234$	19.2200	+	0.547134i	1.25645	+	0.0357673i
$235$	8.65165	−	29.4648i	0.564371	−	1.92207i
$236$	−7.95539	−	3.63310i	−0.517852	−	0.236495i
$237$	6.52097	+	8.97440i	0.423583	+	0.582950i
$238$	−0.0580485	+	0.403736i	−0.00376273	+	0.0261703i
$239$	−2.13498	−	7.27108i	−0.138101	−	0.470327i	0.861178	−	0.508303i	$-0.169727\pi$
$239$	−2.13498	−	7.27108i	−0.138101	−	0.470327i	−0.999279	+	0.0379761i	$0.987909\pi$
$240$	2.17741	+	4.12614i	0.140551	+	0.266341i
$241$	6.17692	+	9.61148i	0.397891	+	0.619130i	0.981171	−	0.193141i	$-0.0618675\pi$
$241$	6.17692	+	9.61148i	0.397891	+	0.619130i	−0.583280	+	0.812271i	$0.698231\pi$
$242$	−1.04566	−	1.62707i	−0.0672173	−	0.104592i
$243$	6.47211	−	14.1814i	0.415186	−	0.909737i
$244$	3.39536	+	11.5635i	0.217366	+	0.740279i
$245$	−0.383336	+	2.66616i	−0.0244905	+	0.170335i
$246$	−4.90330	+	3.56284i	−0.312623	+	0.227158i
$247$	−12.8468	−	5.86695i	−0.817424	−	0.373305i
$248$	−0.914484	+	3.11445i	−0.0580698	+	0.197768i
$249$	−2.43979	−	12.0377i	−0.154615	−	0.762859i
$250$	7.31762	−	1.05211i	0.462807	−	0.0665416i
$251$	22.7631	+	14.6289i	1.43679	+	0.923371i	0.999713	+	0.0239483i	$0.00762371\pi$
$251$	22.7631	+	14.6289i	1.43679	+	0.923371i	0.437080	+	0.899423i	$0.356013\pi$
$252$	−1.32339	+	2.69233i	−0.0833659	+	0.169601i
$253$	14.3923	+	1.17304i	0.904839	+	0.0737485i
$254$		−	5.11302i		−	0.320819i
$255$	−1.32632	−	1.36461i	−0.0830573	−	0.0854554i
$256$	−0.142315	−	0.989821i	−0.00889468	−	0.0618638i
$257$	−3.17794	+	1.45132i	−0.198235	+	0.0905307i	−0.512059	−	0.858950i	$-0.671117\pi$
$257$	−3.17794	+	1.45132i	−0.198235	+	0.0905307i	0.313824	+	0.949481i	$0.398390\pi$
$258$	6.28493	+	3.54885i	0.391283	+	0.220942i
$259$	1.03676	−	2.27019i	0.0644211	−	0.141062i
$260$	11.3054	−	13.0472i	0.701133	−	0.809150i
$261$	2.83703	+	1.93949i	0.175608	+	0.120052i
$262$	−18.2507	+	5.35888i	−1.12753	+	0.331073i
$263$	5.69615	+	6.57370i	0.351239	+	0.405352i	0.903686	−	0.428197i	$-0.140851\pi$
$263$	5.69615	+	6.57370i	0.351239	+	0.405352i	−0.552446	+	0.833549i	$0.686306\pi$
$264$	−1.75279	−	4.91176i	−0.107877	−	0.302298i
$265$	−3.09163	+	1.98687i	−0.189917	+	0.122052i
$266$	1.66533	−	1.44302i	0.102108	−	0.0884770i
$267$	−12.2423	+	0.700657i	−0.749215	+	0.0428795i
$268$	−7.50241	−	1.07868i	−0.458283	−	0.0658911i
$269$	−10.3444	−	8.96344i	−0.630707	−	0.546510i	0.279772	−	0.960066i	$-0.409741\pi$
$269$	−10.3444	−	8.96344i	−0.630707	−	0.546510i	−0.910479	+	0.413556i	$0.864287\pi$
$270$	−6.17734	−	12.5593i	−0.375941	−	0.764334i
$271$	−13.1473	−	3.86041i	−0.798644	−	0.234503i	−0.143148	−	0.989701i	$-0.545722\pi$
$271$	−13.1473	−	3.86041i	−0.798644	−	0.234503i	−0.655496	+	0.755198i	$0.727541\pi$
$272$	0.169443	+	0.371028i	0.0102740	+	0.0224969i
$273$	11.0605	+	0.949425i	0.669411	+	0.0574618i
$274$	2.97356	−	4.62695i	0.179639	−	0.279524i
$275$	6.79085			0.409504
$276$	−7.91130	−	2.53206i	−0.476204	−	0.152412i
$277$	−18.4959			−1.11131			−0.555656	−	0.831412i	$-0.687533\pi$
$277$	−18.4959			−1.11131			−0.555656	+	0.831412i	$0.687533\pi$
$278$	4.22700	−	6.57735i	0.253519	−	0.394483i
$279$	3.00821	−	9.26149i	0.180097	−	0.554471i
$280$	1.11895	+	2.45017i	0.0668703	+	0.146425i
$281$	−11.7510	−	3.45041i	−0.701007	−	0.205834i	−0.0882417	−	0.996099i	$-0.528125\pi$
$281$	−11.7510	−	3.45041i	−0.701007	−	0.205834i	−0.612765	+	0.790265i	$0.709943\pi$
$282$	12.0574	−	15.6380i	0.718010	−	0.931229i
$283$	−23.3266	−	20.2126i	−1.38662	−	1.20152i	−0.953950	−	0.299966i	$-0.903025\pi$
$283$	−23.3266	−	20.2126i	−1.38662	−	1.20152i	−0.432674	−	0.901550i	$-0.642430\pi$
$284$	−9.99693	−	1.43734i	−0.593209	−	0.0852906i
$285$	0.587416	+	10.2637i	0.0347955	+	0.607967i
$286$	−14.5845	+	12.6375i	−0.862399	+	0.747273i
$287$	−2.94383	+	1.89189i	−0.173769	+	0.111675i
$288$	0.342274	+	2.98041i	0.0201687	+	0.175622i
$289$	11.0237	+	12.7220i	0.648452	+	0.748353i
$290$	2.96062	−	0.869316i	0.173854	−	0.0510480i
$291$	−14.0039	−	5.45141i	−0.820924	−	0.319567i
$292$	10.5453	−	12.1699i	0.617115	−	0.712189i
$293$	−11.6140	+	25.4312i	−0.678499	+	1.48570i	0.185727	+	0.982601i	$0.440536\pi$
$293$	−11.6140	+	25.4312i	−0.678499	+	1.48570i	−0.864226	+	0.503104i	$0.832191\pi$
$294$	−0.851630	+	1.50822i	−0.0496681	+	0.0879611i
$295$	21.4285	−	9.78606i	1.24761	−	0.569766i
$296$	−0.355178	−	2.47032i	−0.0206443	−	0.143584i
$297$	4.83695	+	14.8789i	0.280668	+	0.863364i
$298$		−	20.9034i		−	1.21090i
$299$	1.88841	+	30.6797i	0.109210	+	1.77425i
$300$	−3.80495	−	0.884601i	−0.219679	−	0.0510724i
$301$	3.50561	+	2.25292i	0.202060	+	0.129856i
$302$	9.75246	−	1.40219i	0.561191	−	0.0806871i
$303$	−10.7444	+	2.17766i	−0.617251	+	0.125104i
$304$	0.620811	−	2.11429i	0.0356059	−	0.121263i
$305$	−29.5287	−	13.4853i	−1.69081	−	0.772166i
$306$	−0.476449	−	1.12710i	−0.0272368	−	0.0644319i
$307$	−4.12060	+	28.6594i	−0.235175	+	1.63568i	0.439983	+	0.898006i	$0.354985\pi$
$307$	−4.12060	+	28.6594i	−0.235175	+	1.63568i	−0.675158	+	0.737673i	$0.735925\pi$
$308$	−0.848286	−	2.88900i	−0.0483356	−	0.164616i
$309$	13.8153	−	7.29049i	0.785927	−	0.414742i
$310$	−4.72692	−	7.35522i	−0.268471	−	0.417749i
$311$	9.20420	+	14.3220i	0.521922	+	0.812127i	0.997724	−	0.0674253i	$-0.0214784\pi$
$311$	9.20420	+	14.3220i	0.521922	+	0.812127i	−0.475802	+	0.879552i	$0.657842\pi$
$312$	9.81797	−	5.18105i	0.555833	−	0.293319i
$313$	0.876475	+	2.98500i	0.0495413	+	0.168722i	0.980548	−	0.196280i	$-0.0628863\pi$
$313$	0.876475	+	2.98500i	0.0495413	+	0.168722i	−0.931007	+	0.365003i	$0.881068\pi$
$314$	3.15064	−	21.9132i	0.177801	−	1.23663i
$315$	−3.14634	−	7.44304i	−0.177276	−	0.419368i
$316$	5.82598	+	2.66063i	0.327737	+	0.149672i
$317$	−2.88112	+	9.81218i	−0.161820	+	0.551107i	0.838164	+	0.545418i	$0.183629\pi$
$317$	−2.88112	+	9.81218i	−0.161820	+	0.551107i	−0.999984	+	0.00568910i	$0.998189\pi$
$318$	−2.31606	+	0.469415i	−0.129878	+	0.0263235i
$319$	−3.41408	+	0.490870i	−0.191152	+	0.0274834i
$320$	2.26598	+	1.45626i	0.126672	+	0.0814074i
$321$	−6.30337	−	1.46545i	−0.351820	−	0.0817935i
$322$	−4.47660	−	1.72049i	−0.249471	−	0.0958789i
$323$			0.898801i			0.0500106i
$324$	−0.771981	−	8.96683i	−0.0428878	−	0.498157i
$325$	2.05720	+	14.3081i	0.114113	+	0.793673i
$326$	20.6217	−	9.41760i	1.14213	−	0.521592i
$327$	−3.87215	+	6.85750i	−0.214131	+	0.379221i
$328$	−1.45368	+	3.18311i	−0.0802660	+	0.175758i
$329$	7.46588	−	8.61608i	0.411607	−	0.475020i
$330$	13.0905	+	5.09585i	0.720609	+	0.280517i
$331$	2.99511	−	0.879444i	0.164626	−	0.0483386i	−0.198381	−	0.980125i	$-0.563568\pi$
$331$	2.99511	−	0.879444i	0.164626	−	0.0483386i	0.363007	+	0.931786i	$0.381750\pi$
$332$	−4.64380	−	5.35924i	−0.254862	−	0.294126i
$333$	0.854221	+	7.43827i	0.0468110	+	0.407615i
$334$	15.3956	−	9.89414i	0.842409	−	0.541383i
$335$	15.4295	−	13.3697i	0.843004	−	0.730467i
$336$	0.0989678	+	1.72922i	0.00539914	+	0.0943367i
$337$	−23.1302	−	3.32562i	−1.25998	−	0.181158i	−0.520224	−	0.854030i	$-0.674151\pi$
$337$	−23.1302	−	3.32562i	−1.25998	−	0.181158i	−0.739759	+	0.672872i	$0.765060\pi$
$338$	−21.2204	−	18.3876i	−1.15424	−	1.00015i
$339$	6.75047	−	8.75508i	0.366635	−	0.475511i
$340$	−1.05418	−	0.309534i	−0.0571707	−	0.0167868i
$341$	4.06001	+	8.89017i	0.219862	+	0.481430i
$342$	−2.04217	+	6.28730i	−0.110428	+	0.339978i
$343$	−0.540641	+	0.841254i	−0.0291919	+	0.0454234i
$344$	4.16712			0.224676
$345$	19.1093	−	11.6385i	1.02881	−	0.626594i
$346$	10.7214			0.576384
$347$	−8.09983	+	12.6036i	−0.434822	+	0.676596i	−0.987646	−	0.156702i	$-0.949914\pi$
$347$	−8.09983	+	12.6036i	−0.434822	+	0.676596i	0.552824	+	0.833298i	$0.313550\pi$
$348$	1.97687	+	0.169693i	0.105971	+	0.00909650i
$349$	3.98494	+	8.72581i	0.213309	+	0.467082i	0.985796	−	0.167949i	$-0.0537145\pi$
$349$	3.98494	+	8.72581i	0.213309	+	0.467082i	−0.772486	+	0.635031i	$0.780987\pi$
$350$	−2.16402	−	0.635412i	−0.115672	−	0.0339642i
$351$	−29.8843	+	14.6987i	−1.59511	+	0.784560i
$352$	−2.27553	−	1.97176i	−0.121286	−	0.105095i
$353$	−21.5195	−	3.09403i	−1.14537	−	0.164679i	−0.456607	−	0.889669i	$-0.650935\pi$
$353$	−21.5195	−	3.09403i	−1.14537	−	0.164679i	−0.688760	+	0.724990i	$0.741845\pi$
$354$	15.1233	−	0.865544i	0.803793	−	0.0460032i
$355$	20.5597	−	17.8151i	1.09120	−	0.945529i
$356$	−5.95578	+	3.82755i	−0.315656	+	0.202860i
$357$	−0.237447	−	0.665385i	−0.0125670	−	0.0352159i
$358$	3.87535	+	4.47240i	0.204819	+	0.236374i
$359$	2.80580	−	0.823858i	0.148085	−	0.0434815i	−0.206850	−	0.978373i	$-0.566321\pi$
$359$	2.80580	−	0.823858i	0.148085	−	0.0434815i	0.354935	+	0.934891i	$0.384503\pi$
$360$	−6.67088	−	4.56045i	−0.351586	−	0.240357i
$361$	−9.26260	+	10.6896i	−0.487505	+	0.562611i
$362$	−9.18350	+	20.1091i	−0.482674	+	1.05691i
$363$	2.91706	+	1.64714i	0.153106	+	0.0864526i
$364$	5.83007	−	2.66250i	0.305579	−	0.139553i
$365$	6.17290	+	42.9334i	0.323104	+	2.24724i
$366$	−14.5487	−	14.9688i	−0.760475	−	0.782431i
$367$		−	3.62700i		−	0.189328i	−0.995509	−	0.0946638i	$-0.969822\pi$
$367$		−	3.62700i		−	0.189328i	0.995509	−	0.0946638i	$-0.0301776\pi$
$368$	−4.69612	+	0.972867i	−0.244802	+	0.0507142i
$369$	4.63100	−	9.42138i	0.241080	−	0.490457i
$370$	5.65526	+	3.63441i	0.294003	+	0.188944i
$371$	−1.35048	+	0.194169i	−0.0701132	+	0.0100808i
$372$	−1.11678	−	5.51008i	−0.0579021	−	0.285684i
$373$	−1.83982	+	6.26585i	−0.0952622	+	0.324433i	−0.993312	−	0.115460i	$-0.963166\pi$
$373$	−1.83982	+	6.26585i	−0.0952622	+	0.324433i	0.898050	+	0.439894i	$0.144984\pi$
$374$	1.11715	+	0.510186i	0.0577665	+	0.0263811i
$375$	−10.3589	+	7.52701i	−0.534933	+	0.388693i
$376$	1.62249	−	11.2847i	0.0836736	−	0.581962i
$377$	−2.06850	−	7.04467i	−0.106533	−	0.362819i
$378$	−0.149166	−	5.19401i	−0.00767228	−	0.267151i
$379$	13.9823	+	21.7569i	0.718222	+	1.11758i	0.987970	+	0.154644i	$0.0494232\pi$
$379$	13.9823	+	21.7569i	0.718222	+	1.11758i	−0.269748	+	0.962931i	$0.586940\pi$
$380$	3.20894	+	4.99320i	0.164615	+	0.256146i
$381$	4.13320	+	7.83234i	0.211750	+	0.401263i
$382$	−1.97520	−	6.72690i	−0.101060	−	0.344178i
$383$	0.863057	−	6.00269i	0.0441002	−	0.306723i	−0.955818	−	0.293958i	$-0.905027\pi$
$383$	0.863057	−	6.00269i	0.0441002	−	0.306723i	0.999919	−	0.0127654i	$-0.00406347\pi$
$384$	1.01814	+	1.40121i	0.0519570	+	0.0715051i
$385$	7.37736	+	3.36913i	0.375985	+	0.171707i
$386$	3.19351	−	10.8761i	0.162545	−	0.553578i
$387$	−12.4963	−	0.355731i	−0.635223	−	0.0180828i
$388$	−8.58785	+	1.23475i	−0.435982	+	0.0626848i
$389$	−28.2901	−	18.1809i	−1.43436	−	0.921810i	−0.999776	−	0.0211806i	$-0.993257\pi$
$389$	−28.2901	−	18.1809i	−1.43436	−	0.921810i	−0.434588	−	0.900629i	$-0.643106\pi$
$390$	−6.77121	+	29.1251i	−0.342874	+	1.47481i
$391$	1.72610	−	0.920403i	0.0872928	−	0.0465468i
$392$			1.00000i			0.0505076i
$393$	23.6252	−	22.9622i	1.19173	−	1.15829i
$394$	2.66247	+	18.5179i	0.134133	+	0.932916i
$395$	−15.6927	+	7.16663i	−0.789587	+	0.360592i
$396$	6.65551	+	6.10714i	0.334452	+	0.306895i
$397$	15.2159	−	33.3182i	0.763665	−	1.67219i	0.0235418	−	0.999723i	$-0.492506\pi$
$397$	15.2159	−	33.3182i	0.763665	−	1.67219i	0.740123	−	0.672471i	$-0.234767\pi$
$398$	−0.842759	+	0.972595i	−0.0422437	+	0.0487518i
$399$	−1.38453	+	3.55667i	−0.0693133	+	0.178056i
$400$	−2.16402	+	0.635412i	−0.108201	+	0.0317706i
$401$	6.77412	+	7.81775i	0.338283	+	0.390400i	0.899247	−	0.437440i	$-0.144115\pi$
$401$	6.77412	+	7.81775i	0.338283	+	0.390400i	−0.560964	+	0.827840i	$0.689569\pi$
$402$	12.3645	−	4.41234i	0.616685	−	0.220068i
$403$	−17.5014	+	11.2475i	−0.871809	+	0.560278i
$404$	−4.78346	+	4.14489i	−0.237986	+	0.206216i
$405$	19.6152	+	14.2453i	0.974689	+	0.707853i
$406$	1.13388	+	0.163028i	0.0562736	+	0.00809092i
$407$	−5.67909	−	4.92096i	−0.281502	−	0.243923i
$408$	−0.559487	−	0.431384i	−0.0276987	−	0.0213567i
$409$	32.0349	+	9.40629i	1.58402	+	0.465111i	0.951044	−	0.309057i	$-0.100013\pi$
$409$	32.0349	+	9.40629i	1.58402	+	0.465111i	0.632980	+	0.774168i	$0.281832\pi$
$410$	−3.91560	−	8.57397i	−0.193378	−	0.423438i
$411$	−0.814743	+	9.49148i	−0.0401883	+	0.468180i
$412$	4.87592	−	7.58707i	0.240219	−	0.373788i
$413$	8.74572			0.430349
$414$	14.1657	−	2.51653i	0.696206	−	0.123681i
$415$	19.1009			0.937629
$416$	3.46511	−	5.39181i	0.169891	−	0.264355i
$417$	−1.15818	+	13.4924i	−0.0567164	+	0.660727i
$418$	−2.75619	−	6.03522i	−0.134810	−	0.295192i
$419$	26.7920	+	7.86684i	1.30887	+	0.384320i	0.860466	−	0.509509i	$-0.170173\pi$
$419$	26.7920	+	7.86684i	1.30887	+	0.384320i	0.448409	+	0.893829i	$0.351991\pi$
$420$	−3.69470	−	2.84874i	−0.180283	−	0.139004i
$421$	−11.0931	−	9.61223i	−0.540645	−	0.468471i	0.341214	−	0.939986i	$-0.389162\pi$
$421$	−11.0931	−	9.61223i	−0.540645	−	0.468471i	−0.881858	+	0.471514i	$0.843708\pi$
$422$	13.0895	+	1.88199i	0.637187	+	0.0916136i
$423$	−5.82883	+	33.7018i	−0.283407	+	1.63864i
$424$	−1.03112	+	0.893468i	−0.0500755	+	0.0433907i
$425$	0.773903	−	0.497357i	0.0375398	−	0.0241254i
$426$	16.4756	−	5.87943i	0.798247	−	0.284859i
$427$	−7.89219	−	9.10807i	−0.381930	−	0.440770i
$428$	−3.58496	+	1.05264i	−0.173286	+	0.0508813i
$429$	12.1253	−	31.1483i	0.585417	−	1.50386i
$430$	−7.35047	+	8.48289i	−0.354471	+	0.409081i
$431$	−15.1570	+	33.1892i	−0.730087	+	1.59867i	0.0691180	+	0.997608i	$0.477982\pi$
$431$	−15.1570	+	33.1892i	−0.730087	+	1.59867i	−0.799205	+	0.601059i	$0.794746\pi$
$432$	−2.93358	−	4.28883i	−0.141142	−	0.206347i
$433$	−8.33446	+	3.80622i	−0.400528	+	0.182915i	−0.605487	−	0.795856i	$-0.707021\pi$
$433$	−8.33446	+	3.80622i	−0.400528	+	0.182915i	0.204958	+	0.978771i	$0.434294\pi$
$434$	−0.461944	−	3.21289i	−0.0221740	−	0.154224i
$435$	−3.83247	+	3.72493i	−0.183753	+	0.178597i
$436$			4.54675i			0.217750i
$437$	−10.3035	−	2.34873i	−0.492885	−	0.112355i
$438$	−6.31593	+	27.1668i	−0.301787	+	1.29808i
$439$	20.5713	+	13.2204i	0.981815	+	0.630974i	0.929952	−	0.367680i	$-0.119848\pi$
$439$	20.5713	+	13.2204i	0.981815	+	0.630974i	0.0518628	+	0.998654i	$0.483484\pi$
$440$	8.02772	−	1.15421i	0.382706	−	0.0550249i
$441$	0.0853662	−	2.99879i	0.00406506	−	0.142799i
$442$	−0.736523	+	2.50837i	−0.0350328	+	0.119311i
$443$	−1.98185	−	0.905082i	−0.0941607	−	0.0430017i	0.367778	−	0.929914i	$-0.380119\pi$
$443$	−1.98185	−	0.905082i	−0.0941607	−	0.0430017i	−0.461939	+	0.886912i	$0.652846\pi$
$444$	2.54100	+	3.49702i	0.120591	+	0.165961i
$445$	2.71389	−	18.8755i	0.128651	−	0.894785i
$446$	−0.734414	−	2.50119i	−0.0347755	−	0.118435i
$447$	16.8976	+	32.0207i	0.799231	+	1.51453i
$448$	0.540641	+	0.841254i	0.0255429	+	0.0397455i
$449$	−9.73171	−	15.1428i	−0.459268	−	0.714635i	0.531964	−	0.846767i	$-0.321454\pi$
$449$	−9.73171	−	15.1428i	−0.459268	−	0.714635i	−0.991232	+	0.132132i	$0.957818\pi$
$450$	6.54366	−	1.72073i	0.308471	−	0.0811161i
$451$	2.96844	+	10.1096i	0.139779	+	0.476042i
$452$	0.908367	−	6.31783i	0.0427260	−	0.297166i
$453$	−13.8057	+	10.0315i	−0.648650	+	0.471322i
$454$	−4.74874	−	2.16868i	−0.222870	−	0.101781i
$455$	−4.86379	+	16.5645i	−0.228018	+	0.776558i
$456$	0.758140	+	3.74060i	0.0355031	+	0.175170i
$457$	11.7574	−	1.69046i	0.549989	−	0.0790765i	0.138282	−	0.990393i	$-0.455842\pi$
$457$	11.7574	−	1.69046i	0.549989	−	0.0790765i	0.411707	+	0.911316i	$0.364933\pi$
$458$	19.5928	+	12.5915i	0.915512	+	0.588364i
$459$	1.64096	+	1.34139i	0.0765933	+	0.0626107i
$460$	6.30314	−	11.2758i	0.293885	−	0.525738i
$461$			35.4658i			1.65181i	0.563812	+	0.825903i	$0.309334\pi$
$461$			35.4658i			1.65181i	−0.563812	+	0.825903i	$0.690666\pi$
$462$	3.63482	+	3.73976i	0.169107	+	0.173989i
$463$	−0.864491	−	6.01267i	−0.0401763	−	0.279432i	0.959823	−	0.280606i	$-0.0905355\pi$
$463$	−0.864491	−	6.01267i	−0.0401763	−	0.279432i	−0.999999	+	0.00117380i	$0.999626\pi$
$464$	1.04202	−	0.475875i	0.0483746	−	0.0220920i
$465$	13.1866	+	7.44595i	0.611515	+	0.345298i
$466$	1.14223	−	2.50114i	0.0529128	−	0.115863i
$467$	2.55969	−	2.95404i	0.118448	−	0.136697i	−0.693428	−	0.720525i	$-0.743901\pi$
$467$	2.55969	−	2.95404i	0.118448	−	0.136697i	0.811877	+	0.583829i	$0.198446\pi$
$468$	−10.8514	+	15.8731i	−0.501606	+	0.733734i
$469$	7.27254	−	2.13541i	0.335815	−	0.0986041i
$470$	20.1099	+	23.2081i	0.927602	+	1.07051i
$471$	12.8877	+	36.1144i	0.593832	+	1.66406i
$472$	7.35737	−	4.72829i	0.338650	−	0.217637i
$473$	9.48242	−	8.21657i	0.436002	−	0.377798i
$474$	−11.0752	+	0.633865i	−0.508703	+	0.0291144i
$475$	−4.91924	−	0.707280i	−0.225710	−	0.0324522i
$476$	−0.308261	−	0.267110i	−0.0141291	−	0.0122430i
$477$	3.16837	−	2.59130i	0.145070	−	0.118647i
$478$	7.27108	+	2.13498i	0.332572	+	0.0976518i
$479$	−15.3171	−	33.5397i	−0.699855	−	1.53247i	−0.840147	−	0.542359i	$-0.817531\pi$
$479$	−15.3171	−	33.5397i	−0.699855	−	1.53247i	0.140292	−	0.990110i	$-0.455196\pi$
$480$	−4.64832	−	0.399009i	−0.212166	−	0.0182122i
$481$	8.64794	−	13.4565i	0.394312	−	0.613561i
$482$	−11.4252			−0.520403
$483$	8.24823	−	0.983230i	0.375307	−	0.0447385i
$484$	1.93411			0.0879139
$485$	12.6347	−	19.6600i	0.573714	−	0.892717i
$486$	8.43106	+	13.1117i	0.382441	+	0.594760i
$487$	−16.9014	−	37.0090i	−0.765878	−	1.67704i	−0.735524	−	0.677499i	$-0.763064\pi$
$487$	−16.9014	−	37.0090i	−0.765878	−	1.67704i	−0.0303536	−	0.999539i	$-0.509663\pi$
$488$	−11.5635	−	3.39536i	−0.523456	−	0.153701i
$489$	−23.9762	+	31.0962i	−1.08424	+	1.40622i
$490$	−2.03567	−	1.76392i	−0.0919623	−	0.0796858i
$491$	−12.0288	−	1.72948i	−0.542851	−	0.0780502i	−0.134566	−	0.990905i	$-0.542964\pi$
$491$	−12.0288	−	1.72948i	−0.542851	−	0.0780502i	−0.408285	+	0.912854i	$0.633873\pi$
$492$	−0.346322	−	6.05114i	−0.0156134	−	0.272806i
$493$	−0.353126	+	0.305986i	−0.0159040	+	0.0137809i
$494$	11.8811	−	7.63553i	0.534556	−	0.343539i
$495$	−24.1719	+	2.77594i	−1.08645	+	0.124769i
$496$	−2.12563	−	2.45311i	−0.0954437	−	0.110148i
$497$	9.69062	−	2.84542i	0.434684	−	0.127635i
$498$	11.4458	+	4.45560i	0.512899	+	0.199660i
$499$	6.45758	−	7.45244i	0.289081	−	0.333617i	−0.592570	−	0.805519i	$-0.701887\pi$
$499$	6.45758	−	7.45244i	0.289081	−	0.333617i	0.881651	+	0.471902i	$0.156432\pi$
$500$	−3.07111	+	6.72479i	−0.137344	+	0.300742i
$501$	−15.5855	+	27.6016i	−0.696309	+	1.23315i
$502$	−24.6133	+	11.2405i	−1.09855	+	0.501689i
$503$	−6.01572	−	41.8402i	−0.268227	−	1.86556i	−0.465271	−	0.885168i	$-0.654043\pi$
$503$	−6.01572	−	41.8402i	−0.268227	−	1.86556i	0.197043	−	0.980395i	$-0.436866\pi$
$504$	−1.54945	−	2.56889i	−0.0690180	−	0.114428i
$505$		−	17.0488i		−	0.758662i
$506$	−8.76791	+	11.4734i	−0.389781	+	0.510056i
$507$	47.3703	+	11.0130i	2.10379	+	0.489103i
$508$	4.30135	+	2.76431i	0.190841	+	0.122646i
$509$	−0.360856	+	0.0518832i	−0.0159946	+	0.00229968i	−0.150308	−	0.988639i	$-0.548026\pi$
$509$	−0.360856	+	0.0518832i	−0.0159946	+	0.00229968i	0.134313	+	0.990939i	$0.457117\pi$
$510$	1.86505	−	0.378005i	0.0825857	−	0.0167384i
$511$	−4.53676	+	15.4508i	−0.200695	+	0.683503i
$512$	0.909632	+	0.415415i	0.0402004	+	0.0183589i
$513$	−1.95418	−	11.2820i	−0.0862790	−	0.498111i
$514$	0.497199	−	3.45810i	0.0219305	−	0.152530i
$515$	6.84407	+	23.3088i	0.301586	+	1.02711i
$516$	−6.38337	+	3.36857i	−0.281012	+	0.148293i
$517$	−18.5586	−	28.8778i	−0.816208	−	1.27004i
$518$	1.34929	+	2.09953i	0.0592843	+	0.0922482i
$519$	−16.4234	+	8.66681i	−0.720908	+	0.380431i
$520$	4.86379	+	16.5645i	0.213291	+	0.726404i
$521$	−0.0121342	+	0.0843952i	−0.000531609	+	0.00369742i	−0.990086	−	0.140466i	$-0.955140\pi$
$521$	−0.0121342	+	0.0843952i	−0.000531609	+	0.00369742i	0.989554	+	0.144163i	$0.0460491\pi$
$522$	−3.16542	+	1.33809i	−0.138547	+	0.0585668i
$523$	33.4547	+	15.2782i	1.46287	+	0.668070i	0.978397	−	0.206736i	$-0.0662840\pi$
$523$	33.4547	+	15.2782i	1.46287	+	0.668070i	0.484473	+	0.874806i	$0.339011\pi$
$524$	5.35888	−	18.2507i	0.234104	−	0.797284i
$525$	3.82858	−	0.775971i	0.167093	−	0.0338662i
$526$	−8.60972	+	1.23789i	−0.375402	+	0.0539746i
$527$	1.11380	+	0.715796i	0.0485179	+	0.0311805i
$528$	5.07967	+	1.18096i	0.221064	+	0.0513945i
$529$	6.04055	+	22.1926i	0.262632	+	0.964896i
$530$		−	3.67502i		−	0.159633i
$531$	−22.4668	+	13.5511i	−0.974976	+	0.588066i
$532$	0.313597	+	2.18112i	0.0135962	+	0.0945634i
$533$	−20.4014	+	9.31701i	−0.883683	+	0.403564i
$534$	6.02924	−	10.6777i	0.260911	−	0.462068i
$535$	4.18076	−	9.15458i	0.180750	−	0.395787i
$536$	4.96356	−	5.72825i	0.214393	−	0.247423i
$537$	−9.55178	−	3.71829i	−0.412190	−	0.160456i
$538$	13.1331	−	3.85623i	0.566208	−	0.166254i
$539$	1.97176	+	2.27553i	0.0849298	+	0.0980142i
$540$	13.9053	+	1.59335i	0.598387	+	0.0685670i
$541$	13.6150	−	8.74984i	0.585355	−	0.376185i	−0.214189	−	0.976792i	$-0.568711\pi$
$541$	13.6150	−	8.74984i	0.585355	−	0.376185i	0.799544	+	0.600607i	$0.205074\pi$
$542$	10.3556	−	8.97316i	0.444810	−	0.385430i
$543$	−2.18786	−	38.2275i	−0.0938901	−	1.64050i
$544$	−0.403736	−	0.0580485i	−0.0173101	−	0.00248881i
$545$	−9.25570	−	8.02011i	−0.396471	−	0.343544i
$546$	−6.77846	+	8.79138i	−0.290091	+	0.376236i
$547$	12.0162	+	3.52828i	0.513776	+	0.150858i	0.528335	−	0.849036i	$-0.322816\pi$
$547$	12.0162	+	3.52828i	0.513776	+	0.150858i	−0.0145593	+	0.999894i	$0.504635\pi$
$548$	2.28481	+	5.00303i	0.0976022	+	0.213719i
$549$	34.3867	+	11.1691i	1.46759	+	0.476685i
$550$	−3.67141	+	5.71283i	−0.156549	+	0.243596i
$551$	2.52425			0.107537
$552$	6.40728	−	5.28647i	0.272712	−	0.225007i
$553$	−6.40476			−0.272358
$554$	9.99965	−	15.5598i	0.424844	−	0.661071i
$555$	−11.6009	−	0.995815i	−0.492431	−	0.0422700i
$556$	3.24793	+	7.11197i	0.137743	+	0.301615i
$557$	41.1031	+	12.0690i	1.74160	+	0.511379i	0.989103	−	0.147223i	$-0.0470334\pi$
$557$	41.1031	+	12.0690i	1.74160	+	0.511379i	0.752492	+	0.658601i	$0.228852\pi$
$558$	6.16490	+	7.53781i	0.260981	+	0.319101i
$559$	20.1847	+	17.4901i	0.853721	+	0.739754i
$560$	−2.66616	−	0.383336i	−0.112666	−	0.0161989i
$561$	−2.12372	+	0.121546i	−0.0896635	+	0.00513167i
$562$	9.25575	−	8.02015i	0.390430	−	0.338310i
$563$	9.65265	−	6.20338i	0.406811	−	0.261441i	−0.321194	−	0.947013i	$-0.604084\pi$
$563$	9.65265	−	6.20338i	0.406811	−	0.261441i	0.728005	+	0.685572i	$0.240448\pi$
$564$	6.63677	+	18.5979i	0.279459	+	0.783113i
$565$	11.2587	+	12.9933i	0.473659	+	0.546632i
$566$	29.6153	−	8.69583i	1.24482	−	0.365513i
$567$	4.42717	+	7.83582i	0.185924	+	0.329074i
$568$	6.61392	−	7.63287i	0.277514	−	0.320268i
$569$	14.4746	−	31.6949i	0.606805	−	1.32872i	−0.317932	−	0.948113i	$-0.602989\pi$
$569$	14.4746	−	31.6949i	0.606805	−	1.32872i	0.924738	−	0.380605i	$-0.124284\pi$
$570$	−8.95193	−	5.05479i	−0.374955	−	0.211722i
$571$	−15.4225	+	7.04322i	−0.645411	+	0.294749i	−0.711100	−	0.703091i	$-0.751803\pi$
$571$	−15.4225	+	7.04322i	−0.645411	+	0.294749i	0.0656889	+	0.997840i	$0.479076\pi$
$572$	−2.74640	−	19.1016i	−0.114833	−	0.798679i
$573$	8.46350	+	8.70786i	0.353568	+	0.363776i
$574$		−	3.49934i		−	0.146060i
$575$	3.67918	+	10.1714i	0.153432	+	0.424178i
$576$	−2.69233	−	1.32339i	−0.112180	−	0.0551413i
$577$	8.94979	+	5.75168i	0.372585	+	0.239446i	0.713510	−	0.700645i	$-0.247104\pi$
$577$	8.94979	+	5.75168i	0.372585	+	0.239446i	−0.340926	+	0.940090i	$0.610740\pi$
$578$	−16.6623	+	2.39567i	−0.693060	+	0.0996469i
$579$	3.89994	+	19.2420i	0.162076	+	0.799670i
$580$	−0.869316	+	2.96062i	−0.0360964	+	0.122933i
$581$	6.45046	+	2.94583i	0.267610	+	0.122213i
$582$	12.1571	−	8.83359i	0.503928	−	0.366164i
$583$	−0.584636	+	4.06623i	−0.0242132	+	0.168406i
$584$	4.53676	+	15.4508i	0.187733	+	0.639358i
$585$	−13.1714	−	50.0887i	−0.544571	−	2.07091i
$586$	−15.1150	−	23.5195i	−0.624397	−	0.971580i
$587$	−3.00533	−	4.67638i	−0.124043	−	0.193015i	0.773678	−	0.633579i	$-0.218415\pi$
$587$	−3.00533	−	4.67638i	−0.124043	−	0.193015i	−0.897721	+	0.440564i	$0.854778\pi$
$588$	−0.808369	−	1.53184i	−0.0333366	−	0.0631721i
$589$	−2.01511	−	6.86283i	−0.0830311	−	0.282778i
$590$	−3.35255	+	23.3175i	−0.138022	+	0.959967i
$591$	−19.0477	−	26.2142i	−0.783519	−	1.07831i
$592$	2.27019	+	1.03676i	0.0933041	+	0.0426105i
$593$	10.6328	−	36.2121i	0.436638	−	1.48705i	−0.388142	−	0.921600i	$-0.626883\pi$
$593$	10.6328	−	36.2121i	0.436638	−	1.48705i	0.824780	−	0.565454i	$-0.191299\pi$
$594$	−15.1320	−	3.97507i	−0.620874	−	0.163099i
$595$	1.08750	−	0.156358i	0.0445830	−	0.00641007i
$596$	17.5850	+	11.3012i	0.720311	+	0.462916i
$597$	0.504758	−	2.17112i	0.0206584	−	0.0888581i
$598$	−26.8303	−	14.9981i	−1.09717	−	0.613316i
$599$			34.6361i			1.41519i	0.706616	+	0.707597i	$0.250221\pi$
$599$			34.6361i			1.41519i	−0.706616	+	0.707597i	$0.749779\pi$
$600$	2.80128	−	2.72267i	0.114362	−	0.111153i
$601$	1.97017	+	13.7028i	0.0803647	+	0.558949i	0.989730	+	0.142950i	$0.0456589\pi$
$601$	1.97017	+	13.7028i	0.0803647	+	0.558949i	−0.909365	+	0.415999i	$0.863432\pi$
$602$	−3.79055	+	1.73108i	−0.154491	+	0.0705537i
$603$	−15.3736	+	16.7541i	−0.626063	+	0.682279i
$604$	−4.09298	+	8.96237i	−0.166541	+	0.364674i
$605$	−3.41161	+	3.93720i	−0.138702	+	0.160070i
$606$	3.97690	−	10.2161i	0.161551	−	0.415001i
$607$	25.3736	−	7.45036i	1.02988	−	0.302401i	0.277219	−	0.960807i	$-0.410587\pi$
$607$	25.3736	−	7.45036i	1.02988	−	0.302401i	0.752663	+	0.658406i	$0.228769\pi$
$608$	1.44302	+	1.66533i	0.0585220	+	0.0675380i
$609$	−1.86871	+	0.666862i	−0.0757241	+	0.0270226i
$610$	27.3090	−	17.5504i	1.10571	−	0.710595i
$611$	55.2227	−	47.8508i	2.23407	−	1.93583i
$612$	1.20576	+	0.208541i	0.0487401	+	0.00842975i
$613$	1.20987	+	0.173954i	0.0488664	+	0.00702593i	0.166705	−	0.986007i	$-0.446687\pi$
$613$	1.20987	+	0.173954i	0.0488664	+	0.00702593i	−0.117838	+	0.993033i	$0.537596\pi$
$614$	−21.8821	−	18.9609i	−0.883089	−	0.765201i
$615$	12.9290	+	9.96872i	0.521348	+	0.401978i
$616$	2.88900	+	0.848286i	0.116401	+	0.0341784i
$617$	10.7944	+	23.6365i	0.434567	+	0.951570i	0.992564	+	0.121727i	$0.0388431\pi$
$617$	10.7944	+	23.6365i	0.434567	+	0.951570i	−0.557996	+	0.829844i	$0.688430\pi$
$618$	−1.33598	+	15.5637i	−0.0537411	+	0.626065i
$619$	−19.2732	+	29.9897i	−0.774656	+	1.20539i	0.199585	+	0.979880i	$0.436041\pi$
$619$	−19.2732	+	29.9897i	−0.774656	+	1.20539i	−0.974241	+	0.225508i	$0.927596\pi$
$620$	8.74317			0.351134
$621$	−19.6653	+	15.3060i	−0.789143	+	0.614210i
$622$	−17.0246			−0.682625
$623$	3.82755	−	5.95578i	0.153347	−	0.238613i
$624$	−0.949425	+	11.0605i	−0.0380074	+	0.442774i
$625$	−12.9569	−	28.3716i	−0.518274	−	1.13486i
$626$	−2.98500	−	0.876475i	−0.119305	−	0.0350310i
$627$	9.10074	+	7.01699i	0.363448	+	0.280231i
$628$	16.7312	+	14.4977i	0.667647	+	0.578519i
$629$	−1.00761	−	0.144873i	−0.0401761	−	0.00577646i
$630$	7.96253	+	1.37714i	0.317235	+	0.0548667i
$631$	16.5795	−	14.3662i	0.660020	−	0.571910i	−0.259119	−	0.965846i	$-0.583432\pi$
$631$	16.5795	−	14.3662i	0.660020	−	0.571910i	0.919138	+	0.393935i	$0.128887\pi$
$632$	−5.38803	+	3.46268i	−0.214324	+	0.137738i
$633$	−21.5724	+	7.69823i	−0.857425	+	0.305977i
$634$	−6.69688	−	7.72862i	−0.265967	−	0.306943i
$635$	−13.2145	+	3.88011i	−0.524400	+	0.153978i
$636$	0.857257	−	2.20218i	0.0339925	−	0.0873219i
$637$	−4.19717	+	4.84380i	−0.166298	+	0.191918i
$638$	1.43284	−	3.13749i	0.0567268	−	0.124214i
$639$	−20.4853	+	22.3247i	−0.810387	+	0.883153i
$640$	−2.45017	+	1.11895i	−0.0968513	+	0.0442305i
$641$	−2.94941	−	20.5136i	−0.116495	−	0.810239i	−0.961367	−	0.275271i	$-0.911233\pi$
$641$	−2.94941	−	20.5136i	−0.116495	−	0.810239i	0.844872	−	0.534969i	$-0.179677\pi$
$642$	4.64068	−	4.51045i	0.183153	−	0.178013i
$643$		−	28.9817i		−	1.14293i	−0.820627	−	0.571464i	$-0.806376\pi$
$643$		−	28.9817i		−	1.14293i	0.820627	−	0.571464i	$-0.193624\pi$
$644$	3.86760	−	2.83579i	0.152405	−	0.111746i
$645$	4.40245	−	18.9363i	0.173346	−	0.745618i
$646$	−0.756119	−	0.485928i	−0.0297491	−	0.0191186i
$647$	−33.0612	+	4.75348i	−1.29977	+	0.186879i	−0.757228	−	0.653151i	$-0.773447\pi$
$647$	−33.0612	+	4.75348i	−1.29977	+	0.186879i	−0.542541	+	0.840029i	$0.682538\pi$
$648$	7.96074	+	4.19840i	0.312727	+	0.164929i
$649$	7.41887	−	25.2664i	0.291216	−	0.991791i
$650$	−13.1490	−	6.00494i	−0.515746	−	0.235533i
$651$	3.30483	+	4.54822i	0.129526	+	0.178259i
$652$	−3.22632	+	22.4396i	−0.126353	+	0.878802i
$653$	4.76899	+	16.2417i	0.186625	+	0.635587i	0.998649	+	0.0519625i	$0.0165476\pi$
$653$	4.76899	+	16.2417i	0.186625	+	0.635587i	−0.812024	+	0.583624i	$0.801634\pi$
$654$	−3.67545	−	6.96491i	−0.143722	−	0.272350i
$655$	27.6997	+	43.1016i	1.08232	+	1.68412i
$656$	−1.89189	−	2.94383i	−0.0738658	−	0.114937i
$657$	−12.2858	−	46.7209i	−0.479315	−	1.82276i
$658$	3.21195	+	10.9389i	0.125215	+	0.426443i
$659$	2.88457	−	20.0627i	0.112367	−	0.781530i	−0.853239	−	0.521520i	$-0.825365\pi$
$659$	2.88457	−	20.0627i	0.112367	−	0.781530i	0.965606	−	0.260010i	$-0.0837258\pi$
$660$	−11.3642	+	8.25743i	−0.442350	+	0.321420i
$661$	29.2879	+	13.3754i	1.13917	+	0.520241i	0.893478	−	0.449107i	$-0.148258\pi$
$661$	29.2879	+	13.3754i	1.13917	+	0.520241i	0.245691	+	0.969348i	$0.420985\pi$
$662$	−0.879444	+	2.99511i	−0.0341806	+	0.116408i
$663$	−0.899448	−	4.43780i	−0.0349317	−	0.172350i
$664$	7.01911	−	1.00920i	0.272394	−	0.0391644i
$665$	−4.99320	−	3.20894i	−0.193628	−	0.124437i
$666$	−6.71930	−	3.30282i	−0.260367	−	0.127981i
$667$	−2.58492	−	4.84771i	−0.100089	−	0.187704i
$668$			18.3008i			0.708078i
$669$	3.14689	+	3.23774i	0.121666	+	0.125178i
$670$	2.90552	+	20.2084i	0.112250	+	0.780717i
$671$	−33.0080	+	15.0743i	−1.27426	+	0.581935i
$672$	−1.50822	−	0.851630i	−0.0581808	−	0.0328524i
$673$	−7.28825	+	15.9590i	−0.280941	+	0.615176i	−0.996520	−	0.0833566i	$-0.973436\pi$
$673$	−7.28825	+	15.9590i	−0.280941	+	0.615176i	0.715578	+	0.698532i	$0.246163\pi$
$674$	15.3028	−	17.6604i	0.589443	−	0.680253i
$675$	−8.63287	+	7.92558i	−0.332279	+	0.305056i
$676$	26.9412	−	7.91066i	1.03620	−	0.304256i
$677$	−2.93767	−	3.39025i	−0.112904	−	0.130298i	0.696484	−	0.717572i	$-0.254747\pi$
$677$	−2.93767	−	3.39025i	−0.112904	−	0.130298i	−0.809388	+	0.587274i	$0.800201\pi$
$678$	3.71566	+	10.4122i	0.142699	+	0.399879i
$679$	7.29885	−	4.69069i	0.280104	−	0.180012i
$680$	0.830327	−	0.719482i	0.0318416	−	0.0275909i
$681$	9.02742	−	0.516662i	0.345931	−	0.0197985i
$682$	−9.67389	−	1.39090i	−0.370433	−	0.0532602i
$683$	−0.974120	−	0.844080i	−0.0372737	−	0.0322978i	0.636025	−	0.771669i	$-0.280578\pi$
$683$	−0.974120	−	0.844080i	−0.0372737	−	0.0322978i	−0.673298	+	0.739371i	$0.735123\pi$
$684$	−4.18513	−	5.11715i	−0.160023	−	0.195659i
$685$	−14.2148	−	4.17383i	−0.543118	−	0.159474i
$686$	−0.415415	−	0.909632i	−0.0158606	−	0.0347299i
$687$	−40.1917	−	3.45003i	−1.53341	−	0.131627i
$688$	−2.25292	+	3.50561i	−0.0858916	+	0.133650i
$689$	−8.74456			−0.333141
$690$	−0.540395	+	22.3680i	−0.0205725	+	0.851536i
$691$	−0.254158			−0.00966862			−0.00483431	−	0.999988i	$-0.501539\pi$
$691$	−0.254158			−0.00966862			−0.00483431	+	0.999988i	$0.501539\pi$
$692$	−5.79640	+	9.01938i	−0.220346	+	0.342865i
$693$	−8.59107	−	2.79045i	−0.326348	−	0.106000i
$694$	−6.22371	−	13.6280i	−0.236249	−	0.517313i
$695$	−20.2067	−	5.93323i	−0.766484	−	0.225060i
$696$	−1.21153	+	1.57130i	−0.0459229	+	0.0595601i
$697$	1.07871	+	0.934709i	0.0408591	+	0.0354046i
$698$	−9.49504	−	1.36518i	−0.359393	−	0.0516729i
$699$	0.272123	+	4.75469i	0.0102926	+	0.179839i
$700$	1.70450	−	1.47696i	0.0644240	−	0.0558237i
$701$	−8.37244	+	5.38064i	−0.316223	+	0.203224i	−0.689117	−	0.724650i	$-0.742002\pi$
$701$	−8.37244	+	5.38064i	−0.316223	+	0.203224i	0.372895	+	0.927874i	$0.378365\pi$
$702$	3.79131	−	33.0870i	0.143094	−	1.24879i
$703$	3.60136	+	4.15619i	0.135828	+	0.156754i
$704$	2.88900	−	0.848286i	0.108883	−	0.0319710i
$705$	−49.5660	−	19.2949i	−1.86676	−	0.726689i
$706$	14.2372	−	16.4306i	0.535823	−	0.618373i
$707$	2.62934	−	5.75744i	0.0988864	−	0.216531i
$708$	−7.44812	+	13.1905i	−0.279918	+	0.495728i
$709$	−5.14266	+	2.34858i	−0.193137	+	0.0882026i	−0.509636	−	0.860390i	$-0.670220\pi$
$709$	−5.14266	+	2.34858i	−0.193137	+	0.0882026i	0.316499	+	0.948593i	$0.397493\pi$
$710$	3.87160	+	26.9275i	0.145298	+	1.01057i
$711$	16.4531	−	9.92386i	0.617041	−	0.372174i
$712$		−	7.07965i		−	0.265321i
$713$	−11.1162	+	10.8977i	−0.416304	+	0.408122i
$714$	0.688131	+	0.159981i	0.0257527	+	0.00598716i
$715$	43.7291	+	28.1030i	1.63537	+	1.05099i
$716$	−5.85760	+	0.842195i	−0.218909	+	0.0314743i
$717$	−12.8640	+	2.60726i	−0.480415	+	0.0973699i
$718$	−0.823858	+	2.80580i	−0.0307461	+	0.104712i
$719$	−9.98338	−	4.55926i	−0.372317	−	0.170032i	0.220464	−	0.975395i	$-0.429243\pi$
$719$	−9.98338	−	4.55926i	−0.372317	−	0.170032i	−0.592781	+	0.805363i	$0.701970\pi$
$720$	7.44304	−	3.14634i	0.277386	−	0.117257i
$721$	−1.28351	+	8.92698i	−0.0478002	+	0.332458i
$722$	−3.98493	−	13.5714i	−0.148304	−	0.505077i
$723$	17.5016	−	9.23576i	0.650891	−	0.343482i
$724$	−11.9518	−	18.5974i	−0.444187	−	0.691168i
$725$	−1.39681	−	2.17348i	−0.0518763	−	0.0807212i
$726$	−2.96274	+	1.56347i	−0.109958	+	0.0580258i
$727$	−11.5152	−	39.2172i	−0.427076	−	1.45449i	−0.839432	−	0.543464i	$-0.817112\pi$
$727$	−11.5152	−	39.2172i	−0.427076	−	1.45449i	0.412356	−	0.911023i	$-0.364706\pi$
$728$	−0.912133	+	6.34402i	−0.0338059	+	0.235125i
$729$	−23.5142	−	13.2697i	−0.870895	−	0.491470i
$730$	−39.4552	−	18.0186i	−1.46030	−	0.666898i
$731$	0.478866	−	1.63087i	0.0177115	−	0.0603199i
$732$	20.4582	−	4.14644i	0.756157	−	0.153257i
$733$	−3.12919	+	0.449909i	−0.115579	+	0.0166178i	−0.199862	−	0.979824i	$-0.564049\pi$
$733$	−3.12919	+	0.449909i	−0.115579	+	0.0166178i	0.0842825	+	0.996442i	$0.473140\pi$
$734$	3.05122	+	1.96090i	0.112623	+	0.0723782i
$735$	4.54423	+	1.05647i	0.167616	+	0.0389686i
$736$	1.72049	−	4.47660i	0.0634179	−	0.165010i
$737$		−	22.8218i		−	0.840651i
$738$	5.42206	+	8.98943i	0.199589	+	0.330905i
$739$	−0.813661	−	5.65914i	−0.0299310	−	0.208175i	0.969368	−	0.245613i	$-0.0789893\pi$
$739$	−0.813661	−	5.65914i	−0.0299310	−	0.208175i	−0.999299	+	0.0374385i	$0.988080\pi$
$740$	−6.11493	+	2.79259i	−0.224789	+	0.102658i
$741$	−12.0277	+	21.3007i	−0.441847	+	0.782502i
$742$	0.566777	−	1.24107i	0.0208070	−	0.0455611i
$743$	26.7879	−	30.9149i	0.982753	−	1.13416i	−0.00820252	−	0.999966i	$-0.502611\pi$
$743$	26.7879	−	30.9149i	0.982753	−	1.13416i	0.990955	−	0.134191i	$-0.0428436\pi$
$744$	5.23915	+	2.03948i	0.192077	+	0.0747711i
$745$	−54.0242	+	15.8629i	−1.97929	+	0.581173i
$746$	−4.27648	−	4.93533i	−0.156573	−	0.180695i
$747$	−21.1349	+	2.42717i	−0.773287	+	0.0888053i
$748$	−1.03317	+	0.663980i	−0.0377766	+	0.0242775i
$749$	2.82371	−	2.44676i	0.103176	−	0.0894028i
$750$	−0.731656	−	12.7839i	−0.0267163	−	0.466802i
$751$	−13.3538	−	1.91999i	−0.487288	−	0.0700614i	−0.105708	−	0.994397i	$-0.533711\pi$
$751$	−13.3538	−	1.91999i	−0.487288	−	0.0700614i	−0.381580	+	0.924336i	$0.624620\pi$
$752$	8.61608	+	7.46588i	0.314196	+	0.272253i
$753$	28.6172	−	37.1153i	1.04287	−	1.35256i
$754$	7.04467	+	2.06850i	0.256552	+	0.0753304i
$755$	−11.0248	−	24.1409i	−0.401232	−	0.878576i
$756$	4.45013	+	2.68261i	0.161849	+	0.0975655i
$757$	10.4197	−	16.2133i	0.378709	−	0.589282i	−0.598614	−	0.801038i	$-0.704282\pi$
$757$	10.4197	−	16.2133i	0.378709	−	0.589282i	0.977323	+	0.211755i	$0.0679180\pi$
$758$	−25.8624			−0.939366
$759$	4.15631	−	24.6632i	0.150864	−	0.895216i
$760$	−5.93543			−0.215301
$761$	26.8062	−	41.7113i	0.971725	−	1.51203i	0.116883	−	0.993146i	$-0.462710\pi$
$761$	26.8062	−	41.7113i	0.971725	−	1.51203i	0.854842	−	0.518888i	$-0.173654\pi$
$762$	−8.82356	−	0.757409i	−0.319644	−	0.0274380i
$763$	−1.88879	−	4.13587i	−0.0683788	−	0.149729i
$764$	6.72690	+	1.97520i	0.243371	+	0.0714601i
$765$	−2.55139	+	2.08669i	−0.0922457	+	0.0754444i
$766$	4.58318	+	3.97135i	0.165597	+	0.143491i
$767$	55.4830	+	7.97726i	2.00338	+	0.288042i
$768$	−1.72922	+	0.0989678i	−0.0623979	+	0.00357119i
$769$	6.72562	−	5.82778i	0.242532	−	0.210155i	−0.525110	−	0.851035i	$-0.675976\pi$
$769$	6.72562	−	5.82778i	0.242532	−	0.210155i	0.767641	+	0.640880i	$0.221430\pi$
$770$	−6.82279	+	4.38474i	−0.245876	+	0.158015i
$771$	2.03379	+	5.69918i	0.0732451	+	0.205251i
$772$	7.42301	+	8.56661i	0.267160	+	0.308319i
$773$	2.30697	−	0.677388i	0.0829760	−	0.0243640i	−0.239981	−	0.970778i	$-0.577141\pi$
$773$	2.30697	−	0.677388i	0.0829760	−	0.0243640i	0.322957	+	0.946414i	$0.395323\pi$
$774$	7.05527	−	10.3202i	0.253596	−	0.370953i
$775$	−4.79410	+	5.53268i	−0.172209	+	0.198740i
$776$	3.60421	−	7.89211i	0.129384	−	0.283310i
$777$	−3.76409	−	2.12543i	−0.135036	−	0.0762494i
$778$	30.5895	−	13.9698i	1.09669	−	0.500841i
$779$	−1.09738	−	7.63248i	−0.0393179	−	0.273462i
$780$	−20.8408	−	21.4425i	−0.746221	−	0.767766i
$781$		−	30.4099i		−	1.08815i
$782$	−0.158909	+	1.94970i	−0.00568258	+	0.0697210i
$783$	3.76725	−	4.60858i	0.134631	−	0.164697i
$784$	−0.841254	−	0.540641i	−0.0300448	−	0.0193086i
$785$	−59.0249	+	8.48650i	−2.10669	+	0.302896i
$786$	6.54431	+	32.2891i	0.233428	+	1.15171i
$787$	4.68413	−	15.9527i	0.166971	−	0.568651i	−0.832913	−	0.553404i	$-0.813328\pi$
$787$	4.68413	−	15.9527i	0.166971	−	0.568651i	0.999884	−	0.0152469i	$-0.00485343\pi$
$788$	−17.0176	−	7.77170i	−0.606229	−	0.276855i
$789$	12.1881	−	8.85608i	0.433906	−	0.315285i
$790$	2.45518	−	17.0761i	0.0873513	−	0.607542i
$791$	1.79824	+	6.12425i	0.0639381	+	0.217753i
$792$	−8.73590	+	2.29721i	−0.310417	+	0.0816276i
$793$	−41.7605	−	64.9805i	−1.48296	−	2.30753i
$794$	19.8027	+	30.8136i	0.702772	+	1.09354i
$795$	2.97077	+	5.62956i	0.105362	+	0.199660i
$796$	−0.362570	−	1.23480i	−0.0128509	−	0.0437663i
$797$	1.17275	−	8.15664i	0.0415408	−	0.288923i	−0.958452	−	0.285252i	$-0.907923\pi$
$797$	1.17275	−	8.15664i	0.0415408	−	0.288923i	0.999993	−	0.00367046i	$-0.00116834\pi$
$798$	−2.24353	−	3.08763i	−0.0794201	−	0.109301i
$799$	−4.22998	−	1.93177i	−0.149646	−	0.0683411i
$800$	0.635412	−	2.16402i	0.0224652	−	0.0765095i
$801$	−0.604363	+	21.2303i	−0.0213541	+	0.750137i
$802$	−10.2391	+	1.47216i	−0.361554	+	0.0519836i
$803$	40.7888	+	26.2134i	1.43941	+	0.925050i
$804$	−2.97285	+	12.7872i	−0.104844	+	0.450968i
$805$	−1.04939	+	12.8753i	−0.0369862	+	0.453793i
$806$		−	20.8040i		−	0.732790i
$807$	−17.0006	+	16.5235i	−0.598449	+	0.581655i
$808$	−0.900770	−	6.26500i	−0.0316890	−	0.220402i
$809$	−41.3738	+	18.8948i	−1.45463	+	0.664306i	−0.976801	−	0.214149i	$-0.931302\pi$
$809$	−41.3738	+	18.8948i	−1.45463	+	0.664306i	−0.477826	+	0.878455i	$0.658575\pi$
$810$	−22.5887	+	8.79981i	−0.793685	+	0.309194i
$811$	−12.9201	+	28.2910i	−0.453685	+	0.993432i	0.535196	+	0.844728i	$0.320238\pi$
$811$	−12.9201	+	28.2910i	−0.453685	+	0.993432i	−0.988882	+	0.148705i	$0.952490\pi$
$812$	−0.750170	+	0.865743i	−0.0263258	+	0.0303816i
$813$	−8.60949	+	22.1166i	−0.301948	+	0.775662i
$814$	7.21013	−	2.11708i	0.252715	−	0.0742038i
$815$	−39.9886	−	46.1494i	−1.40074	−	1.61654i
$816$	0.665385	−	0.237447i	0.0232931	−	0.00831230i
$817$	−7.72477	+	4.96441i	−0.270255	+	0.173683i
$818$	−25.2324	+	21.8640i	−0.882232	+	0.764458i
$819$	3.27686	−	18.9465i	0.114503	−	0.662044i
$820$	9.32982	+	1.34143i	0.325811	+	0.0468446i
$821$	13.1034	+	11.3541i	0.457311	+	0.396262i	0.852824	−	0.522198i	$-0.174888\pi$
$821$	13.1034	+	11.3541i	0.457311	+	0.396262i	−0.395513	+	0.918460i	$0.629433\pi$
$822$	−7.54426	−	5.81689i	−0.263136	−	0.202887i
$823$	−1.43686	−	0.421901i	−0.0500859	−	0.0147065i	0.256594	−	0.966519i	$-0.417400\pi$
$823$	−1.43686	−	0.421901i	−0.0500859	−	0.0147065i	−0.306680	+	0.951813i	$0.599218\pi$
$824$	3.74653	+	8.20376i	0.130517	+	0.285792i
$825$	1.00595	−	11.7190i	0.0350227	−	0.408003i
$826$	−4.72829	+	7.35737i	−0.164518	+	0.255996i
$827$	−11.2852			−0.392423			−0.196212	−	0.980562i	$-0.562864\pi$
$827$	−11.2852			−0.392423			−0.196212	+	0.980562i	$0.562864\pi$
$828$	−5.54152	+	13.2775i	−0.192581	+	0.461424i
$829$	−38.4677			−1.33604			−0.668019	−	0.744144i	$-0.732858\pi$
$829$	−38.4677			−1.33604			−0.668019	+	0.744144i	$0.732858\pi$
$830$	−10.3268	+	16.0687i	−0.358447	+	0.557754i
$831$	−2.73986	+	31.9185i	−0.0950448	+	1.10724i
$832$	2.66250	+	5.83007i	0.0923057	+	0.202121i
$833$	0.391366	+	0.114915i	0.0135600	+	0.00398158i
$834$	−10.7244	−	8.26889i	−0.371356	−	0.286328i
$835$	−37.2544	−	32.2811i	−1.28924	−	1.11713i
$836$	6.56726	+	0.944230i	0.227134	+	0.0326569i
$837$	−15.5370	−	6.56322i	−0.537037	−	0.226858i
$838$	−21.1028	+	18.2857i	−0.728986	+	0.631670i
$839$	42.8815	−	27.5582i	1.48043	−	0.951416i	0.483323	−	0.875442i	$-0.339430\pi$
$839$	42.8815	−	27.5582i	1.48043	−	0.951416i	0.997110	−	0.0759738i	$-0.0242065\pi$
$840$	4.39402	−	1.56803i	0.151608	−	0.0541022i
$841$	−18.1316	−	20.9250i	−0.625228	−	0.721551i
$842$	14.0837	−	4.13535i	0.485357	−	0.142514i
$843$	−7.69511	+	19.7677i	−0.265034	+	0.680835i
$844$	−8.65994	+	9.99410i	−0.298087	+	0.344011i
$845$	−31.4187	+	68.7973i	−1.08084	+	2.36670i
$846$	−25.2004	−	23.1241i	−0.866409	−	0.795023i
$847$	−1.75932	+	0.803456i	−0.0604511	+	0.0276071i
$848$	−0.194169	−	1.35048i	−0.00666780	−	0.0463756i
$849$	−38.3365	+	37.2607i	−1.31571	+	1.27878i
$850$			0.919941i			0.0315537i
$851$	4.29385	−	11.1723i	0.147191	−	0.382983i
$852$	−3.96131	+	17.0388i	−0.135712	+	0.583741i
$853$	21.0357	+	13.5188i	0.720249	+	0.462876i	0.848723	−	0.528837i	$-0.177372\pi$
$853$	21.0357	+	13.5188i	0.720249	+	0.462876i	−0.128475	+	0.991713i	$0.541008\pi$
$854$	11.9290	−	1.71514i	0.408203	−	0.0586908i
$855$	17.7991	+	0.506685i	0.608716	+	0.0173283i
$856$	1.05264	−	3.58496i	0.0359785	−	0.122532i
$857$	41.5971	+	18.9968i	1.42093	+	0.648917i	0.969880	−	0.243582i	$-0.0783225\pi$
$857$	41.5971	+	18.9968i	1.42093	+	0.648917i	0.451050	+	0.892499i	$0.351050\pi$
$858$	19.6482	+	27.0406i	0.670778	+	0.923149i
$859$	2.76485	−	19.2299i	0.0943353	−	0.656117i	−0.886708	−	0.462329i	$-0.847014\pi$
$859$	2.76485	−	19.2299i	0.0943353	−	0.656117i	0.981044	−	0.193787i	$-0.0620771\pi$
$860$	−3.16230	−	10.7698i	−0.107834	−	0.367247i
$861$	2.82876	+	5.36044i	0.0964038	+	0.182683i
$862$	−19.7260	−	30.6943i	−0.671871	−	1.04545i
$863$	10.3343	+	16.0805i	0.351784	+	0.547387i	0.971379	−	0.237535i	$-0.0763394\pi$
$863$	10.3343	+	16.0805i	0.351784	+	0.547387i	−0.619595	+	0.784922i	$0.712703\pi$
$864$	5.19401	−	0.149166i	0.176704	−	0.00507473i
$865$	−8.13611	−	27.7090i	−0.276636	−	0.942136i
$866$	1.30395	−	9.06919i	0.0443101	−	0.308184i
$867$	23.5874	−	17.1391i	0.801070	−	0.582073i
$868$	2.95260	+	1.34841i	0.100218	+	0.0457679i
$869$	−5.43307	+	18.5033i	−0.184304	+	0.627683i
$870$	−1.06162	−	5.23793i	−0.0359922	−	0.177582i
$871$	48.0849	−	6.91357i	1.62930	−	0.234257i
$872$	−3.82497	−	2.45816i	−0.129530	−	0.0832438i
$873$	−11.4820	+	23.3591i	−0.388606	+	0.790585i
$874$	7.54639	−	7.39806i	0.255260	−	0.250243i
$875$		−	7.39287i		−	0.249925i
$876$	−19.4395	−	20.0008i	−0.656801	−	0.675764i
$877$	3.30596	+	22.9935i	0.111634	+	0.776435i	0.966330	+	0.257305i	$0.0828346\pi$
$877$	3.30596	+	22.9935i	0.111634	+	0.776435i	−0.854696	+	0.519129i	$0.826256\pi$
$878$	−22.2434	+	10.1582i	−0.750678	+	0.342823i
$879$	42.1663	+	23.8096i	1.42223	+	0.803077i
$880$	−3.36913	+	7.37736i	−0.113573	+	0.248691i
$881$	5.11156	−	5.89906i	0.172213	−	0.198744i	−0.663082	−	0.748547i	$-0.730752\pi$
$881$	5.11156	−	5.89906i	0.172213	−	0.198744i	0.835294	+	0.549803i	$0.185297\pi$
$882$	2.47659	+	1.69308i	0.0833910	+	0.0570090i
$883$	14.9933	−	4.40244i	0.504565	−	0.148154i	−0.0195368	−	0.999809i	$-0.506219\pi$
$883$	14.9933	−	4.40244i	0.504565	−	0.148154i	0.524102	+	0.851655i	$0.324401\pi$
$884$	−1.71198	−	1.97573i	−0.0575800	−	0.0664509i
$885$	−13.7136	−	38.4289i	−0.460977	−	1.29177i
$886$	1.83287	−	1.17792i	0.0615766	−	0.0395729i
$887$	0.371780	−	0.322149i	0.0124832	−	0.0108167i	−0.648597	−	0.761132i	$-0.724644\pi$
$887$	0.371780	−	0.322149i	0.0124832	−	0.0108167i	0.661080	+	0.750315i	$0.270098\pi$
$888$	−4.31565	+	0.246996i	−0.144824	+	0.00828864i
$889$	−5.06098	−	0.727659i	−0.169740	−	0.0244049i
$890$	14.4118	+	12.4879i	0.483086	+	0.418596i
$891$	26.3932	−	6.14307i	0.884205	−	0.205801i
$892$	2.50119	+	0.734414i	0.0837459	+	0.0245900i
$893$	10.4361	+	22.8518i	0.349229	+	0.764706i
$894$	−36.0731	−	3.09649i	−1.20646	−	0.103562i
$895$	8.61790	−	13.4097i	0.288065	−	0.448237i
$896$	−1.00000			−0.0334077
$897$	53.2238	+	1.28585i	1.77709	+	0.0429332i
$898$	18.0003			0.600679
$899$	2.01029	−	3.12807i	0.0670469	−	0.104327i
$900$	−2.09020	+	6.43518i	−0.0696733	+	0.214506i
$901$	0.231182	+	0.506217i	0.00770178	+	0.0168645i
$902$	−10.1096	−	2.96844i	−0.336612	−	0.0988383i
$903$	4.40716	−	5.71591i	0.146661	−	0.190213i
$904$	4.82380	+	4.17984i	0.160437	+	0.139020i
$905$	58.9403	+	8.47434i	1.95924	+	0.281697i
$906$	−0.975104	−	17.0376i	−0.0323957	−	0.566036i
$907$	−28.9615	+	25.0953i	−0.961651	+	0.833275i	−0.986054	−	0.166427i	$-0.946777\pi$
$907$	−28.9615	+	25.0953i	−0.961651	+	0.833275i	0.0244027	+	0.999702i	$0.492232\pi$
$908$	4.39177	−	2.82242i	0.145746	−	0.0936653i
$909$	2.16640	+	18.8643i	0.0718549	+	0.625688i
$910$	−11.3054	−	13.0472i	−0.374771	−	0.432509i
$911$	−44.0990	+	12.9486i	−1.46106	+	0.429007i	−0.913183	−	0.407550i	$-0.866383\pi$
$911$	−44.0990	+	12.9486i	−1.46106	+	0.429007i	−0.547880	+	0.836557i	$0.684565\pi$
$912$	−3.55667	−	1.38453i	−0.117773	−	0.0458465i
$913$	13.9823	−	16.1365i	0.462747	−	0.534039i
$914$	−4.93444	+	10.8049i	−0.163217	+	0.357395i
$915$	−27.6458	+	48.9602i	−0.913943	+	1.61857i
$916$	−21.1854	+	9.67503i	−0.699984	+	0.319672i
$917$	2.70699	+	18.8276i	0.0893928	+	0.621741i
$918$	−2.01562	+	0.655250i	−0.0665253	+	0.0216265i
$919$		−	3.17257i		−	0.104653i	−0.998630	−	0.0523267i	$-0.983336\pi$
$919$		−	3.17257i		−	0.104653i	0.998630	−	0.0523267i	$-0.0166637\pi$
$920$	6.07809	+	11.3987i	0.200389	+	0.375804i
$921$	48.8473	+	11.3564i	1.60957	+	0.374205i
$922$	−29.8357	−	19.1743i	−0.982587	−	0.631470i
$923$	64.0730	−	9.21230i	2.10899	−	0.303227i
$924$	−5.11122	+	1.03593i	−0.168147	+	0.0340797i
$925$	1.58581	−	5.40078i	0.0521411	−	0.177576i
$926$	5.52556	+	2.52344i	0.181581	+	0.0829253i
$927$	−10.5347	−	24.9212i	−0.346006	−	0.818518i
$928$	−0.163028	+	1.13388i	−0.00535164	+	0.0372215i
$929$	15.9840	+	54.4365i	0.524418	+	1.78600i	0.613171	+	0.789950i	$0.289894\pi$
$929$	15.9840	+	54.4365i	0.524418	+	1.78600i	−0.0887530	+	0.996054i	$0.528288\pi$
$930$	−13.3932	+	7.06771i	−0.439179	+	0.231759i
$931$	−1.19133	−	1.85374i	−0.0390442	−	0.0607539i
$932$	1.48655	+	2.31312i	0.0486937	+	0.0757688i
$933$	26.0790	−	13.7622i	0.853789	−	0.450553i
$934$	1.10122	+	3.75042i	0.0360331	+	0.122718i
$935$	0.470789	−	3.27441i	0.0153965	−	0.107085i
$936$	−7.48658	−	17.7104i	−0.244707	−	0.578883i
$937$	−20.3126	−	9.27646i	−0.663585	−	0.303049i	0.0550022	−	0.998486i	$-0.482483\pi$
$937$	−20.3126	−	9.27646i	−0.663585	−	0.303049i	−0.718587	+	0.695437i	$0.755211\pi$
$938$	−2.13541	+	7.27254i	−0.0697236	+	0.237457i
$939$	5.28106	−	1.07036i	0.172341	−	0.0349298i
$940$	−30.3962	+	4.37031i	−0.991413	+	0.142544i
$941$	36.5737	+	23.5045i	1.19227	+	0.766225i	0.977602	−	0.210462i	$-0.0674969\pi$
$941$	36.5737	+	23.5045i	1.19227	+	0.766225i	0.214667	+	0.976687i	$0.431133\pi$
$942$	−37.3490	−	8.68315i	−1.21690	−	0.282912i
$943$	−13.5340	+	9.92340i	−0.440729	+	0.323150i
$944$			8.74572i			0.284649i
$945$	−13.3106	+	4.32709i	−0.432993	+	0.140760i
$946$	1.78563	+	12.4193i	0.0580559	+	0.403787i
$947$	−30.5580	+	13.9553i	−0.993000	+	0.453488i	−0.844576	−	0.535436i	$-0.820147\pi$
$947$	−30.5580	+	13.9553i	−0.993000	+	0.453488i	−0.148424	+	0.988924i	$0.547420\pi$
$948$	5.45449	−	9.65978i	0.177154	−	0.313735i
$949$	−42.8745	+	93.8820i	−1.39176	+	3.04754i
$950$	3.25454	−	3.75594i	0.105591	−	0.121859i
$951$	16.5061	+	6.42547i	0.535248	+	0.208360i
$952$	0.391366	−	0.114915i	0.0126842	−	0.00372443i
$953$	−27.3706	−	31.5873i	−0.886620	−	1.02321i	−0.999561	−	0.0296125i	$-0.990573\pi$
$953$	−27.3706	−	31.5873i	−0.886620	−	1.02321i	0.112941	−	0.993602i	$-0.463973\pi$
$954$	0.466987	+	4.06636i	0.0151193	+	0.131653i
$955$	−15.8866	+	10.2097i	−0.514077	+	0.330377i
$956$	−5.72711	+	4.96257i	−0.185228	+	0.160501i
$957$	0.341358	+	5.96440i	0.0110345	+	0.192802i
$958$	36.4964	+	5.24740i	1.17915	+	0.169536i
$959$	−4.15667	−	3.60177i	−0.134226	−	0.116307i
$960$	2.84874	−	3.69470i	0.0919427	−	0.119246i
$961$	19.6350	+	5.76536i	0.633387	+	0.185979i
$962$	6.64486	+	14.5502i	0.214239	+	0.469118i
$963$	−3.46268	+	10.6607i	−0.111583	+	0.343535i
$964$	6.17692	−	9.61148i	0.198945	−	0.309565i
$965$	−30.5324			−0.982873
$966$	−3.63218	+	7.47042i	−0.116864	+	0.240357i
$967$	−44.9695			−1.44612			−0.723061	−	0.690784i	$-0.757265\pi$
$967$	−44.9695			−1.44612			−0.723061	+	0.690784i	$0.757265\pi$
$968$	−1.04566	+	1.62707i	−0.0336087	+	0.0522961i
$969$	1.55106	+	0.133142i	0.0498274	+	0.00427715i
$970$	9.70822	+	21.2580i	0.311712	+	0.682555i
$971$	32.9331	+	9.67004i	1.05687	+	0.310326i	0.763592	−	0.645699i	$-0.223434\pi$
$971$	32.9331	+	9.67004i	1.05687	+	0.310326i	0.293283	+	0.956026i	$0.405252\pi$
$972$	−15.5885	+	0.00392424i	−0.500000	+	0.000125870i
$973$	−5.90883	−	5.12003i	−0.189429	−	0.164141i
$974$	40.2716	+	5.79018i	1.29038	+	0.185529i
$975$	24.9964	−	1.43061i	0.800525	−	0.0458161i
$976$	9.10807	−	7.89219i	0.291542	−	0.252623i
$977$	4.07548	−	2.61915i	0.130386	−	0.0837941i	−0.473822	−	0.880621i	$-0.657126\pi$
$977$	4.07548	−	2.61915i	0.130386	−	0.0837941i	0.604208	+	0.796827i	$0.293490\pi$
$978$	−13.1972	−	36.9819i	−0.422001	−	1.18255i
$979$	−13.9594	−	16.1100i	−0.446144	−	0.514877i
$980$	2.58447	−	0.758869i	0.0825579	−	0.0242412i
$981$	11.2604	+	7.69802i	0.359518	+	0.245779i
$982$	7.95818	−	9.18423i	0.253956	−	0.293081i
$983$	13.2682	−	29.0534i	0.423191	−	0.926659i	−0.571192	−	0.820817i	$-0.693519\pi$
$983$	13.2682	−	29.0534i	0.423191	−	0.926659i	0.994383	−	0.105843i	$-0.0337540\pi$
$984$	5.27777	+	2.98015i	0.168249	+	0.0950036i
$985$	45.8384	−	20.9337i	1.46053	−	0.667003i
$986$	−0.0664970	−	0.462497i	−0.00211770	−	0.0147289i
$987$	−13.7629	−	14.1602i	−0.438077	−	0.450725i
$988$			14.1231i			0.449316i
$989$	17.4443	+	9.75131i	0.554697	+	0.310074i
$990$	10.7331	−	21.8355i	0.341119	−	0.693978i
$991$	1.76437	+	1.13389i	0.0560470	+	0.0360192i	0.568364	−	0.822777i	$-0.307576\pi$
$991$	1.76437	+	1.13389i	0.0560470	+	0.0360192i	−0.512317	+	0.858796i	$0.671213\pi$
$992$	3.21289	−	0.461944i	0.102009	−	0.0146667i
$993$	−1.07399	−	5.29895i	−0.0340819	−	0.168157i
$994$	−2.84542	+	9.69062i	−0.0902514	+	0.307368i
$995$	3.15319	+	1.44001i	0.0999628	+	0.0456515i
$996$	−9.93636	+	7.21995i	−0.314846	+	0.228773i
$997$	5.60001	−	38.9489i	0.177354	−	1.23353i	−0.685500	−	0.728073i	$-0.740416\pi$
$997$	5.60001	−	38.9489i	0.177354	−	1.23353i	0.862854	−	0.505453i	$-0.168675\pi$
$998$	2.77816	+	9.46155i	0.0879412	+	0.299500i
$999$	12.9628	−	0.372277i	0.410125	−	0.0117783i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.r.b.113.7	yes	240
3.2	odd	2		966.2.r.a.113.17	✓	240
23.11	odd	22		966.2.r.a.701.17	yes	240
69.11	even	22	inner	966.2.r.b.701.7	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.r.a.113.17	✓	240	3.2	odd	2
966.2.r.a.701.17	yes	240	23.11	odd	22
966.2.r.b.113.7	yes	240	1.1	even	1	trivial
966.2.r.b.701.7	yes	240	69.11	even	22	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.r (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.540641 + 0.841254i) q^{2} +(0.148133 - 1.72570i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(2.58447 + 0.758869i) q^{5} +(1.37167 + 1.05760i) q^{6} +(0.755750 + 0.654861i) q^{7} +(0.989821 + 0.142315i) q^{8} +(-2.95611 - 0.511269i) q^{9} +O(q^{10})\)	\(q+(-0.540641 + 0.841254i) q^{2} +(0.148133 - 1.72570i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(2.58447 + 0.758869i) q^{5} +(1.37167 + 1.05760i) q^{6} +(0.755750 + 0.654861i) q^{7} +(0.989821 + 0.142315i) q^{8} +(-2.95611 - 0.511269i) q^{9} +(-2.03567 + 1.76392i) q^{10} +(2.53298 - 1.62785i) q^{11} +(-1.63129 + 0.582137i) q^{12} +(4.19717 + 4.84380i) q^{13} +(-0.959493 + 0.281733i) q^{14} +(1.69243 - 4.34762i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(0.169443 - 0.371028i) q^{17} +(2.02830 - 2.21043i) q^{18} +(-2.00442 + 0.915386i) q^{19} +(-0.383336 - 2.66616i) q^{20} +(1.24205 - 1.20719i) q^{21} +3.01096i q^{22} +(3.81055 + 2.91200i) q^{23} +(0.392219 - 1.68706i) q^{24} +(1.89734 + 1.21935i) q^{25} +(-6.34402 + 0.912133i) q^{26} +(-1.32020 + 5.02564i) q^{27} +(0.281733 - 0.959493i) q^{28} +(-1.04202 - 0.475875i) q^{29} +(2.74245 + 3.77426i) q^{30} +(-0.461944 + 3.21289i) q^{31} +(-0.281733 - 0.959493i) q^{32} +(-2.43397 - 4.61232i) q^{33} +(0.220521 + 0.343137i) q^{34} +(1.45626 + 2.26598i) q^{35} +(0.762947 + 2.90136i) q^{36} +(-0.703125 - 2.39462i) q^{37} +(0.313597 - 2.18112i) q^{38} +(8.98070 - 6.52555i) q^{39} +(2.45017 + 1.11895i) q^{40} +(-0.985879 + 3.35759i) q^{41} +(0.344054 + 1.69754i) q^{42} +(4.12471 - 0.593043i) q^{43} +(-2.53298 - 1.62785i) q^{44} +(-7.25200 - 3.56466i) q^{45} +(-4.50987 + 1.63129i) q^{46} -11.4007i q^{47} +(1.20719 + 1.24205i) q^{48} +(0.142315 + 0.989821i) q^{49} +(-2.05156 + 0.936916i) q^{50} +(-0.615185 - 0.347370i) q^{51} +(2.66250 - 5.83007i) q^{52} +(-0.893468 + 1.03112i) q^{53} +(-3.51409 - 3.82769i) q^{54} +(7.78175 - 2.28493i) q^{55} +(0.654861 + 0.755750i) q^{56} +(1.28277 + 3.59463i) q^{57} +(0.963691 - 0.619327i) q^{58} +(6.60957 - 5.72723i) q^{59} +(-4.65780 + 0.266578i) q^{60} +(-11.9290 - 1.71514i) q^{61} +(-2.45311 - 2.12563i) q^{62} +(-1.89927 - 2.32223i) q^{63} +(0.959493 + 0.281733i) q^{64} +(7.17167 + 15.7038i) q^{65} +(5.19603 + 0.446024i) q^{66} +(4.09782 - 6.37633i) q^{67} -0.407888 q^{68} +(5.58972 - 6.14452i) q^{69} -2.69358 q^{70} +(5.46033 - 8.49644i) q^{71} +(-2.85326 - 0.926764i) q^{72} +(6.68946 + 14.6479i) q^{73} +(2.39462 + 0.703125i) q^{74} +(2.38529 - 3.09363i) q^{75} +(1.66533 + 1.44302i) q^{76} +(2.98032 + 0.428505i) q^{77} +(0.634310 + 11.0830i) q^{78} +(-4.84040 + 4.19423i) q^{79} +(-2.26598 + 1.45626i) q^{80} +(8.47721 + 3.02274i) q^{81} +(-2.29158 - 2.64463i) q^{82} +(6.80404 - 1.99785i) q^{83} +(-1.61407 - 0.628320i) q^{84} +(0.719482 - 0.830327i) q^{85} +(-1.73108 + 3.79055i) q^{86} +(-0.975578 + 1.72773i) q^{87} +(2.73887 - 1.25080i) q^{88} +(-1.00754 - 7.00759i) q^{89} +(6.91951 - 4.17357i) q^{90} +6.40926i q^{91} +(1.06589 - 4.67588i) q^{92} +(5.47607 + 1.27312i) q^{93} +(9.59089 + 6.16369i) q^{94} +(-5.87502 + 0.844700i) q^{95} +(-1.69754 + 0.344054i) q^{96} +(2.44436 - 8.32472i) q^{97} +(-0.909632 - 0.415415i) q^{98} +(-8.32005 + 3.51707i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 4 q^{3} + 24 q^{4} + 4 q^{5} + 4 q^{9}+O(q^{10}) \) 240 * q - 4 * q^3 + 24 * q^4 + 4 * q^5 + 4 * q^9	\( 240 q - 4 q^{3} + 24 q^{4} + 4 q^{5} + 4 q^{9} + 4 q^{12} - 8 q^{13} - 24 q^{14} + 26 q^{15} - 24 q^{16} - 32 q^{17} + 40 q^{18} - 4 q^{20} + 8 q^{23} + 12 q^{25} + 116 q^{27} + 4 q^{30} + 16 q^{31} + 2 q^{33} - 4 q^{36} + 22 q^{37} + 8 q^{39} - 154 q^{41} - 4 q^{42} + 22 q^{43} - 24 q^{45} + 4 q^{46} - 4 q^{48} + 24 q^{49} - 88 q^{50} - 24 q^{51} + 8 q^{52} + 108 q^{53} + 12 q^{54} - 16 q^{55} + 24 q^{56} - 70 q^{57} - 4 q^{58} - 22 q^{59} - 26 q^{60} + 4 q^{63} + 24 q^{64} - 76 q^{66} - 44 q^{67} + 32 q^{68} - 86 q^{69} + 4 q^{70} + 4 q^{72} - 12 q^{73} + 16 q^{74} - 26 q^{75} - 78 q^{78} + 4 q^{80} - 168 q^{81} + 8 q^{82} - 16 q^{83} - 28 q^{85} - 16 q^{86} + 156 q^{87} - 24 q^{89} - 126 q^{90} - 8 q^{92} - 16 q^{93} - 8 q^{94} + 132 q^{97} - 172 q^{99}+O(q^{100}) \) 240 * q - 4 * q^3 + 24 * q^4 + 4 * q^5 + 4 * q^9 + 4 * q^12 - 8 * q^13 - 24 * q^14 + 26 * q^15 - 24 * q^16 - 32 * q^17 + 40 * q^18 - 4 * q^20 + 8 * q^23 + 12 * q^25 + 116 * q^27 + 4 * q^30 + 16 * q^31 + 2 * q^33 - 4 * q^36 + 22 * q^37 + 8 * q^39 - 154 * q^41 - 4 * q^42 + 22 * q^43 - 24 * q^45 + 4 * q^46 - 4 * q^48 + 24 * q^49 - 88 * q^50 - 24 * q^51 + 8 * q^52 + 108 * q^53 + 12 * q^54 - 16 * q^55 + 24 * q^56 - 70 * q^57 - 4 * q^58 - 22 * q^59 - 26 * q^60 + 4 * q^63 + 24 * q^64 - 76 * q^66 - 44 * q^67 + 32 * q^68 - 86 * q^69 + 4 * q^70 + 4 * q^72 - 12 * q^73 + 16 * q^74 - 26 * q^75 - 78 * q^78 + 4 * q^80 - 168 * q^81 + 8 * q^82 - 16 * q^83 - 28 * q^85 - 16 * q^86 + 156 * q^87 - 24 * q^89 - 126 * q^90 - 8 * q^92 - 16 * q^93 - 8 * q^94 + 132 * q^97 - 172 * q^99

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