LMFDB - Embedded newform 430.2.q.d.101.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [430,2,Mod(31,430)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(430, base_ring=CyclotomicField(42))

chi = DirichletCharacter(H, H._module([0, 34]))

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

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

chi := DirichletCharacter("430.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 430 = 2 \cdot 5 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	430.q (of order $21$, degree $12$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.43356728692$
Analytic rank:	$0$
Dimension:	$60$
Relative dimension:	$5$ over $\Q(\zeta_{21})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label			101.2
Character	$\chi$	$=$	430.101
Dual form			430.2.q.d.281.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.623490 + 0.781831i) q^{2} +(-0.617972 + 1.57457i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(-0.0747301 - 0.997204i) q^{5} +(-0.845746 - 1.46488i) q^{6} +(0.932562 - 1.61524i) q^{7} +(0.900969 + 0.433884i) q^{8} +(0.101786 + 0.0944434i) q^{9} +O(q^{10})$	\(q+(-0.623490 + 0.781831i) q^{2} +(-0.617972 + 1.57457i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(-0.0747301 - 0.997204i) q^{5} +(-0.845746 - 1.46488i) q^{6} +(0.932562 - 1.61524i) q^{7} +(0.900969 + 0.433884i) q^{8} +(0.101786 + 0.0944434i) q^{9} +(0.826239 + 0.563320i) q^{10} +(-1.00396 + 4.39862i) q^{11} +(1.67260 + 0.252104i) q^{12} +(-3.64605 + 2.48584i) q^{13} +(0.681406 + 1.73619i) q^{14} +(1.61634 + 0.498576i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(-0.538185 + 7.18158i) q^{17} +(-0.137301 + 0.0206948i) q^{18} +(2.86524 - 2.65856i) q^{19} +(-0.955573 + 0.294755i) q^{20} +(1.96701 + 2.46656i) q^{21} +(-2.81303 - 3.52742i) q^{22} +(-1.38251 + 0.426448i) q^{23} +(-1.23995 + 1.15051i) q^{24} +(-0.988831 + 0.149042i) q^{25} +(0.329771 - 4.40049i) q^{26} +(-4.78356 + 2.30364i) q^{27} +(-1.78226 - 0.549755i) q^{28} +(-0.574278 - 1.46324i) q^{29} +(-1.39758 + 0.952852i) q^{30} +(-5.91505 - 0.891551i) q^{31} +(0.222521 - 0.974928i) q^{32} +(-6.30551 - 4.29902i) q^{33} +(-5.27923 - 4.89841i) q^{34} +(-1.68042 - 0.809247i) q^{35} +(0.0694261 - 0.120249i) q^{36} +(5.46361 + 9.46325i) q^{37} +(0.292094 + 3.89772i) q^{38} +(-1.66096 - 7.27713i) q^{39} +(0.365341 - 0.930874i) q^{40} +(5.72255 - 7.17585i) q^{41} -3.15484 q^{42} +(-4.17593 - 5.05585i) q^{43} +4.51174 q^{44} +(0.0865729 - 0.108559i) q^{45} +(0.528571 - 1.34678i) q^{46} +(1.04960 + 4.59859i) q^{47} +(-0.126405 - 1.68676i) q^{48} +(1.76066 + 3.04955i) q^{49} +(0.500000 - 0.866025i) q^{50} +(-10.9753 - 5.28542i) q^{51} +(3.23484 + 3.00149i) q^{52} +(4.03500 + 2.75102i) q^{53} +(1.18144 - 5.17623i) q^{54} +(4.46135 + 0.672440i) q^{55} +(1.54104 - 1.05066i) q^{56} +(2.41543 + 6.15443i) q^{57} +(1.50206 + 0.463324i) q^{58} +(-7.82001 + 3.76592i) q^{59} +(0.126405 - 1.68676i) q^{60} +(0.412797 - 0.0622191i) q^{61} +(4.38502 - 4.06870i) q^{62} +(0.247471 - 0.0763346i) q^{63} +(0.623490 + 0.781831i) q^{64} +(2.75136 + 3.45009i) q^{65} +(7.29253 - 2.24945i) q^{66} +(-5.11938 + 4.75009i) q^{67} +(7.12128 - 1.07336i) q^{68} +(0.182882 - 2.44039i) q^{69} +(1.68042 - 0.809247i) q^{70} +(10.2233 + 3.15347i) q^{71} +(0.0507284 + 0.129254i) q^{72} +(-8.73802 + 5.95748i) q^{73} +(-10.8052 - 1.62862i) q^{74} +(0.376393 - 1.64908i) q^{75} +(-3.22948 - 2.20182i) q^{76} +(6.16860 + 5.72363i) q^{77} +(6.72508 + 3.23863i) q^{78} +(2.85591 - 4.94658i) q^{79} +(0.500000 + 0.866025i) q^{80} +(-0.640001 - 8.54022i) q^{81} +(2.04235 + 8.94814i) q^{82} +(-0.765796 + 1.95122i) q^{83} +(1.96701 - 2.46656i) q^{84} +7.20172 q^{85} +(6.55647 - 0.112602i) q^{86} +2.65885 q^{87} +(-2.81303 + 3.52742i) q^{88} +(-0.230910 + 0.588348i) q^{89} +(0.0308975 + 0.135371i) q^{90} +(0.615065 + 8.20747i) q^{91} +(0.723394 + 1.25296i) q^{92} +(5.05914 - 8.76269i) q^{93} +(-4.24974 - 2.04656i) q^{94} +(-2.86524 - 2.65856i) q^{95} +(1.39758 + 0.952852i) q^{96} +(3.41672 - 14.9696i) q^{97} +(-3.48198 - 0.524824i) q^{98} +(-0.517610 + 0.352900i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 60 q + 10 q^{2} - q^{3} - 10 q^{4} - 5 q^{5} - 6 q^{6} + q^{7} + 10 q^{8} + 8 q^{9}+O(q^{10}) $ 60 * q + 10 * q^2 - q^3 - 10 * q^4 - 5 * q^5 - 6 * q^6 + q^7 + 10 * q^8 + 8 * q^9	\( 60 q + 10 q^{2} - q^{3} - 10 q^{4} - 5 q^{5} - 6 q^{6} + q^{7} + 10 q^{8} + 8 q^{9} + 5 q^{10} + 3 q^{11} - q^{12} + 13 q^{13} - 15 q^{14} + q^{15} - 10 q^{16} + 38 q^{17} + 6 q^{18} + 17 q^{19} - 5 q^{20} + 4 q^{21} + 11 q^{22} - 8 q^{23} + q^{24} + 5 q^{25} + 29 q^{26} - 16 q^{27} - 6 q^{28} - 41 q^{29} - q^{30} + 15 q^{31} + 10 q^{32} + 63 q^{33} - 10 q^{34} + 2 q^{35} - 48 q^{36} + 7 q^{37} + 25 q^{38} - 64 q^{39} + 5 q^{40} - 22 q^{41} - 60 q^{42} + 6 q^{43} - 4 q^{44} + 30 q^{45} - 20 q^{46} - 13 q^{47} - q^{48} - 93 q^{49} + 30 q^{50} + 18 q^{51} - 15 q^{52} + 71 q^{53} - 5 q^{54} - 16 q^{55} - q^{56} - 94 q^{57} - 22 q^{58} + 20 q^{59} + q^{60} + 91 q^{61} + 69 q^{62} - 50 q^{63} - 10 q^{64} + 5 q^{65} + 14 q^{66} - 26 q^{67} - 18 q^{68} - 94 q^{69} - 2 q^{70} + 20 q^{71} - 36 q^{72} - 56 q^{73} - 7 q^{74} + 2 q^{75} + 38 q^{76} + 41 q^{77} - 13 q^{78} - 46 q^{79} + 30 q^{80} + 39 q^{81} + 8 q^{82} - 115 q^{83} + 4 q^{84} + 6 q^{85} + 29 q^{86} + 20 q^{87} + 11 q^{88} + 30 q^{89} - 16 q^{90} - 53 q^{91} - 8 q^{92} + 16 q^{93} + 41 q^{94} - 17 q^{95} + q^{96} + 113 q^{97} + 2 q^{98} + 139 q^{99}+O(q^{100}) \) 60 * q + 10 * q^2 - q^3 - 10 * q^4 - 5 * q^5 - 6 * q^6 + q^7 + 10 * q^8 + 8 * q^9 + 5 * q^10 + 3 * q^11 - q^12 + 13 * q^13 - 15 * q^14 + q^15 - 10 * q^16 + 38 * q^17 + 6 * q^18 + 17 * q^19 - 5 * q^20 + 4 * q^21 + 11 * q^22 - 8 * q^23 + q^24 + 5 * q^25 + 29 * q^26 - 16 * q^27 - 6 * q^28 - 41 * q^29 - q^30 + 15 * q^31 + 10 * q^32 + 63 * q^33 - 10 * q^34 + 2 * q^35 - 48 * q^36 + 7 * q^37 + 25 * q^38 - 64 * q^39 + 5 * q^40 - 22 * q^41 - 60 * q^42 + 6 * q^43 - 4 * q^44 + 30 * q^45 - 20 * q^46 - 13 * q^47 - q^48 - 93 * q^49 + 30 * q^50 + 18 * q^51 - 15 * q^52 + 71 * q^53 - 5 * q^54 - 16 * q^55 - q^56 - 94 * q^57 - 22 * q^58 + 20 * q^59 + q^60 + 91 * q^61 + 69 * q^62 - 50 * q^63 - 10 * q^64 + 5 * q^65 + 14 * q^66 - 26 * q^67 - 18 * q^68 - 94 * q^69 - 2 * q^70 + 20 * q^71 - 36 * q^72 - 56 * q^73 - 7 * q^74 + 2 * q^75 + 38 * q^76 + 41 * q^77 - 13 * q^78 - 46 * q^79 + 30 * q^80 + 39 * q^81 + 8 * q^82 - 115 * q^83 + 4 * q^84 + 6 * q^85 + 29 * q^86 + 20 * q^87 + 11 * q^88 + 30 * q^89 - 16 * q^90 - 53 * q^91 - 8 * q^92 + 16 * q^93 + 41 * q^94 - 17 * q^95 + q^96 + 113 * q^97 + 2 * q^98 + 139 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/430\mathbb{Z}\right)^\times$.

$n$	$87$	$261$
$\chi(n)$	$1$	$e\left(\frac{13}{21}\right)$

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 $

$2$	−0.623490	+	0.781831i	−0.440874	+	0.552838i
$2$	−0.623490	+	0.781831i	−0.440874	+	0.552838i
$3$	−0.617972	+	1.57457i	−0.356786	+	0.909076i	0.633962	+	0.773364i	$0.281427\pi$
$3$	−0.617972	+	1.57457i	−0.356786	+	0.909076i	−0.990748	+	0.135712i	$0.956668\pi$
$4$	−0.222521	−	0.974928i	−0.111260	−	0.487464i
$5$	−0.0747301	−	0.997204i	−0.0334203	−	0.445963i
$5$	−0.0747301	−	0.997204i	−0.0334203	−	0.445963i
$6$	−0.845746	−	1.46488i	−0.345275	−	0.598033i
$7$	0.932562	−	1.61524i	0.352475	−	0.610505i	−0.634207	−	0.773163i	$-0.718673\pi$
$7$	0.932562	−	1.61524i	0.352475	−	0.610505i	0.986683	+	0.162658i	$0.0520067\pi$
$8$	0.900969	+	0.433884i	0.318541	+	0.153401i
$9$	0.101786	+	0.0944434i	0.0339286	+	0.0314811i
$10$	0.826239	+	0.563320i	0.261280	+	0.178137i
$11$	−1.00396	+	4.39862i	−0.302705	+	1.32624i	0.563322	+	0.826237i	$0.309523\pi$
$11$	−1.00396	+	4.39862i	−0.302705	+	1.32624i	−0.866027	+	0.499998i	$0.833334\pi$
$12$	1.67260	+	0.252104i	0.482838	+	0.0727761i
$13$	−3.64605	+	2.48584i	−1.01123	+	0.689447i	−0.951145	−	0.308746i	$-0.900091\pi$
$13$	−3.64605	+	2.48584i	−1.01123	+	0.689447i	−0.0600889	+	0.998193i	$0.519138\pi$
$14$	0.681406	+	1.73619i	0.182113	+	0.464018i
$15$	1.61634	+	0.498576i	0.417338	+	0.128732i
$16$	−0.900969	+	0.433884i	−0.225242	+	0.108471i
$17$	−0.538185	+	7.18158i	−0.130529	+	1.74179i	0.420490	+	0.907297i	$0.361858\pi$
$17$	−0.538185	+	7.18158i	−0.130529	+	1.74179i	−0.551019	+	0.834493i	$0.685761\pi$
$18$	−0.137301	+	0.0206948i	−0.0323622	+	0.00487782i
$19$	2.86524	−	2.65856i	0.657332	−	0.609915i	−0.279311	−	0.960201i	$-0.590106\pi$
$19$	2.86524	−	2.65856i	0.657332	−	0.609915i	0.936643	+	0.350286i	$0.113916\pi$
$20$	−0.955573	+	0.294755i	−0.213673	+	0.0659093i
$21$	1.96701	+	2.46656i	0.429237	+	0.538247i
$22$	−2.81303	−	3.52742i	−0.599739	−	0.752049i
$23$	−1.38251	+	0.426448i	−0.288274	+	0.0889207i	−0.435520	−	0.900179i	$-0.643435\pi$
$23$	−1.38251	+	0.426448i	−0.288274	+	0.0889207i	0.147246	+	0.989100i	$0.452959\pi$
$24$	−1.23995	+	1.15051i	−0.253104	+	0.234846i
$25$	−0.988831	+	0.149042i	−0.197766	+	0.0298085i
$26$	0.329771	−	4.40049i	0.0646735	−	0.863008i
$27$	−4.78356	+	2.30364i	−0.920596	+	0.443335i
$28$	−1.78226	−	0.549755i	−0.336816	−	0.103894i
$29$	−0.574278	−	1.46324i	−0.106641	−	0.271716i	0.867586	−	0.497287i	$-0.165670\pi$
$29$	−0.574278	−	1.46324i	−0.106641	−	0.271716i	−0.974227	+	0.225571i	$0.927575\pi$
$30$	−1.39758	+	0.952852i	−0.255161	+	0.173966i
$31$	−5.91505	−	0.891551i	−1.06238	−	0.160127i	−0.405476	−	0.914106i	$-0.632894\pi$
$31$	−5.91505	−	0.891551i	−1.06238	−	0.160127i	−0.656899	+	0.753978i	$0.728132\pi$
$32$	0.222521	−	0.974928i	0.0393365	−	0.172345i
$33$	−6.30551	−	4.29902i	−1.09765	−	0.748364i
$34$	−5.27923	−	4.89841i	−0.905381	−	0.840071i
$35$	−1.68042	−	0.809247i	−0.284043	−	0.136788i
$36$	0.0694261	−	0.120249i	0.0115710	−	0.0200416i
$37$	5.46361	+	9.46325i	0.898212	+	1.55575i	0.829779	+	0.558092i	$0.188467\pi$
$37$	5.46361	+	9.46325i	0.898212	+	1.55575i	0.0684328	+	0.997656i	$0.478200\pi$
$38$	0.292094	+	3.89772i	0.0473838	+	0.632294i
$39$	−1.66096	−	7.27713i	−0.265966	−	1.16527i
$40$	0.365341	−	0.930874i	0.0577655	−	0.147184i
$41$	5.72255	−	7.17585i	0.893712	−	1.12068i	−0.0983776	−	0.995149i	$-0.531365\pi$
$41$	5.72255	−	7.17585i	0.893712	−	1.12068i	0.992090	−	0.125530i	$-0.0400633\pi$
$42$	−3.15484			−0.486803
$43$	−4.17593	−	5.05585i	−0.636823	−	0.771010i
$43$	−4.17593	−	5.05585i	−0.636823	−	0.771010i
$44$	4.51174			0.680171
$45$	0.0865729	−	0.108559i	0.0129055	−	0.0161830i
$46$	0.528571	−	1.34678i	0.0779336	−	0.198572i
$47$	1.04960	+	4.59859i	0.153100	+	0.670773i	0.991973	+	0.126447i	$0.0403574\pi$
$47$	1.04960	+	4.59859i	0.153100	+	0.670773i	−0.838874	+	0.544326i	$0.816785\pi$
$48$	−0.126405	−	1.68676i	−0.0182451	−	0.243463i
$49$	1.76066	+	3.04955i	0.251522	+	0.435649i
$50$	0.500000	−	0.866025i	0.0707107	−	0.122474i
$51$	−10.9753	−	5.28542i	−1.53685	−	0.740107i
$52$	3.23484	+	3.00149i	0.448591	+	0.416232i
$53$	4.03500	+	2.75102i	0.554250	+	0.377881i	0.807814	−	0.589437i	$-0.200650\pi$
$53$	4.03500	+	2.75102i	0.554250	+	0.377881i	−0.253564	+	0.967319i	$0.581603\pi$
$54$	1.18144	−	5.17623i	0.160774	−	0.704396i
$55$	4.46135	+	0.672440i	0.601568	+	0.0906719i
$56$	1.54104	−	1.05066i	0.205930	−	0.140401i
$57$	2.41543	+	6.15443i	0.319932	+	0.815174i
$58$	1.50206	+	0.463324i	0.197230	+	0.0608375i
$59$	−7.82001	+	3.76592i	−1.01808	+	0.490281i	−0.867035	−	0.498247i	$-0.833977\pi$
$59$	−7.82001	+	3.76592i	−1.01808	+	0.490281i	−0.151043	+	0.988527i	$0.548263\pi$
$60$	0.126405	−	1.68676i	0.0163189	−	0.217760i
$61$	0.412797	−	0.0622191i	0.0528532	−	0.00796634i	−0.122562	−	0.992461i	$-0.539111\pi$
$61$	0.412797	−	0.0622191i	0.0528532	−	0.00796634i	0.175416	+	0.984494i	$0.443873\pi$
$62$	4.38502	−	4.06870i	0.556898	−	0.516726i
$63$	0.247471	−	0.0763346i	0.0311784	−	0.00961726i
$64$	0.623490	+	0.781831i	0.0779362	+	0.0977289i
$65$	2.75136	+	3.45009i	0.341264	+	0.427931i
$66$	7.29253	−	2.24945i	0.897649	−	0.276888i
$67$	−5.11938	+	4.75009i	−0.625431	+	0.580315i	−0.927893	−	0.372846i	$-0.878382\pi$
$67$	−5.11938	+	4.75009i	−0.625431	+	0.580315i	0.302462	+	0.953161i	$0.402191\pi$
$68$	7.12128	−	1.07336i	0.863582	−	0.130164i
$69$	0.182882	−	2.44039i	0.0220164	−	0.293788i
$70$	1.68042	−	0.809247i	0.200848	−	0.0967235i
$71$	10.2233	+	3.15347i	1.21328	+	0.374248i	0.834380	−	0.551190i	$-0.185826\pi$
$71$	10.2233	+	3.15347i	1.21328	+	0.374248i	0.378901	+	0.925437i	$0.376302\pi$
$72$	0.0507284	+	0.129254i	0.00597840	+	0.0152327i
$73$	−8.73802	+	5.95748i	−1.02271	+	0.697270i	−0.953828	−	0.300355i	$-0.902895\pi$
$73$	−8.73802	+	5.95748i	−1.02271	+	0.697270i	−0.0688801	+	0.997625i	$0.521943\pi$
$74$	−10.8052	−	1.62862i	−1.25608	−	0.189323i
$75$	0.376393	−	1.64908i	0.0434621	−	0.190420i
$76$	−3.22948	−	2.20182i	−0.370446	−	0.252566i
$77$	6.16860	+	5.72363i	0.702978	+	0.652268i
$78$	6.72508	+	3.23863i	0.761465	+	0.366702i
$79$	2.85591	−	4.94658i	0.321315	−	0.556533i	−0.659445	−	0.751753i	$-0.729209\pi$
$79$	2.85591	−	4.94658i	0.321315	−	0.556533i	0.980760	+	0.195219i	$0.0625419\pi$
$80$	0.500000	+	0.866025i	0.0559017	+	0.0968246i
$81$	−0.640001	−	8.54022i	−0.0711112	−	0.948913i
$82$	2.04235	+	8.94814i	0.225540	+	0.988157i
$83$	−0.765796	+	1.95122i	−0.0840570	+	0.214174i	−0.966722	−	0.255829i	$-0.917652\pi$
$83$	−0.765796	+	1.95122i	−0.0840570	+	0.214174i	0.882665	+	0.470002i	$0.155747\pi$
$84$	1.96701	−	2.46656i	0.214619	−	0.269123i
$85$	7.20172			0.781136
$86$	6.55647	−	0.112602i	0.707003	−	0.0121422i
$87$	2.65885			0.285059
$88$	−2.81303	+	3.52742i	−0.299870	+	0.376025i
$89$	−0.230910	+	0.588348i	−0.0244764	+	0.0623648i	−0.942590	−	0.333954i	$-0.891617\pi$
$89$	−0.230910	+	0.588348i	−0.0244764	+	0.0623648i	0.918113	+	0.396318i	$0.129712\pi$
$90$	0.0308975	+	0.135371i	0.00325688	+	0.0142693i
$91$	0.615065	+	8.20747i	0.0644763	+	0.860376i
$92$	0.723394	+	1.25296i	0.0754191	+	0.130630i
$93$	5.05914	−	8.76269i	0.524609	−	0.908649i
$94$	−4.24974	−	2.04656i	−0.438327	−	0.211087i
$95$	−2.86524	−	2.65856i	−0.293968	−	0.272762i
$96$	1.39758	+	0.952852i	0.142640	+	0.0972500i
$97$	3.41672	−	14.9696i	0.346915	−	1.51993i	−0.437226	−	0.899352i	$-0.644039\pi$
$97$	3.41672	−	14.9696i	0.346915	−	1.51993i	0.784141	−	0.620583i	$-0.213104\pi$
$98$	−3.48198	−	0.524824i	−0.351733	−	0.0530153i
$99$	−0.517610	+	0.352900i	−0.0520217	+	0.0354678i
$100$	0.365341	+	0.930874i	0.0365341	+	0.0930874i
$101$	18.0070	+	5.55442i	1.79176	+	0.552685i	0.998425	−	0.0560982i	$-0.0178660\pi$
$101$	18.0070	+	5.55442i	1.79176	+	0.552685i	0.793336	+	0.608783i	$0.208342\pi$
$102$	10.9753	−	5.28542i	1.08672	−	0.523335i
$103$	1.48822	−	19.8590i	0.146639	−	1.95676i	−0.119517	−	0.992832i	$-0.538134\pi$
$103$	1.48822	−	19.8590i	0.146639	−	1.95676i	0.266156	−	0.963930i	$-0.414246\pi$
$104$	−4.36355	+	0.657699i	−0.427881	+	0.0644927i
$105$	2.31266	−	2.14584i	0.225693	−	0.209412i
$106$	−4.66661	+	1.43946i	−0.453262	+	0.139813i
$107$	6.86017	+	8.60238i	0.663198	+	0.831624i	0.993687	−	0.112186i	$-0.0357852\pi$
$107$	6.86017	+	8.60238i	0.663198	+	0.831624i	−0.330489	+	0.943810i	$0.607214\pi$
$108$	3.31032	+	4.15101i	0.318536	+	0.399431i
$109$	−0.214407	+	0.0661357i	−0.0205364	+	0.00633465i	−0.305006	−	0.952350i	$-0.598659\pi$
$109$	−0.214407	+	0.0661357i	−0.0205364	+	0.00633465i	0.284470	+	0.958685i	$0.408182\pi$
$110$	−3.30734	+	3.06876i	−0.315343	+	0.292595i
$111$	−18.2769	+	2.75479i	−1.73476	+	0.261473i
$112$	−0.139381	+	1.85991i	−0.0131703	+	0.175745i
$113$	7.49010	−	3.60704i	0.704610	−	0.339322i	−0.0470324	−	0.998893i	$-0.514976\pi$
$113$	7.49010	−	3.60704i	0.704610	−	0.339322i	0.751642	+	0.659571i	$0.229262\pi$
$114$	−6.31772	−	1.94876i	−0.591709	−	0.182518i
$115$	0.528571	+	1.34678i	0.0492895	+	0.125588i
$116$	−1.29876	+	0.885480i	−0.120587	+	0.0822148i
$117$	−0.605888	−	0.0913229i	−0.0560143	−	0.00844280i
$118$	1.93138	−	8.46194i	0.177798	−	0.778985i
$119$	11.0981	+	7.56657i	1.01736	+	0.693627i
$120$	1.23995	+	1.15051i	0.113192	+	0.105026i
$121$	−8.42931	−	4.05934i	−0.766301	−	0.369031i
$122$	−0.208730	+	0.361530i	−0.0188975	+	0.0327314i
$123$	7.76248	+	13.4450i	0.699919	+	1.21230i
$124$	0.447026	+	5.96514i	0.0401441	+	0.535685i
$125$	0.222521	+	0.974928i	0.0199029	+	0.0872002i
$126$	−0.0946147	+	0.241074i	−0.00842895	+	0.0214766i
$127$	10.8747	−	13.6365i	0.964974	−	1.21004i	−0.0127014	−	0.999919i	$-0.504043\pi$
$127$	10.8747	−	13.6365i	0.964974	−	1.21004i	0.977676	−	0.210120i	$-0.0673855\pi$
$128$	−1.00000			−0.0883883
$129$	10.5414	−	3.45091i	0.928116	−	0.303835i
$130$	−4.41283			−0.387031
$131$	4.34811	−	5.45236i	0.379896	−	0.476374i	−0.554718	−	0.832038i	$-0.687174\pi$
$131$	4.34811	−	5.45236i	0.379896	−	0.476374i	0.934614	+	0.355664i	$0.115745\pi$
$132$	−2.78813	+	7.10404i	−0.242676	+	0.618327i
$133$	−1.62220	−	7.10734i	−0.140663	−	0.616284i
$134$	−0.521889	−	6.96412i	−0.0450843	−	0.601608i
$135$	2.65467	+	4.59803i	0.228478	+	0.395735i
$136$	−3.60086	+	6.23687i	−0.308771	+	0.534807i
$137$	−3.49677	−	1.68396i	−0.298749	−	0.143870i	0.278504	−	0.960435i	$-0.410161\pi$
$137$	−3.49677	−	1.68396i	−0.298749	−	0.143870i	−0.577254	+	0.816565i	$0.695876\pi$
$138$	1.79395	+	1.66454i	0.152711	+	0.141695i
$139$	−3.39480	−	2.31453i	−0.287943	−	0.196316i	0.410731	−	0.911757i	$-0.365274\pi$
$139$	−3.39480	−	2.31453i	−0.287943	−	0.196316i	−0.698674	+	0.715441i	$0.746226\pi$
$140$	−0.415029	+	1.81836i	−0.0350764	+	0.153680i
$141$	−7.88941	−	1.18914i	−0.664408	−	0.100143i
$142$	−8.83959	+	6.02673i	−0.741802	+	0.505752i
$143$	−7.27378	−	18.5333i	−0.608264	−	1.54983i
$144$	−0.132683	−	0.0409274i	−0.0110569	−	0.00341061i
$145$	−1.41623	+	0.682020i	−0.117611	+	0.0566387i
$146$	0.790320	−	10.5461i	0.0654073	−	0.872800i
$147$	−5.88975	+	0.887737i	−0.485778	+	0.0732193i
$148$	8.01022	−	7.43239i	0.658436	−	0.610939i
$149$	−4.07475	+	1.25690i	−0.333817	+	0.102969i	−0.457132	−	0.889399i	$-0.651123\pi$
$149$	−4.07475	+	1.25690i	−0.333817	+	0.102969i	0.123316	+	0.992368i	$0.460647\pi$
$150$	1.05463	+	1.32246i	0.0861101	+	0.107979i
$151$	−3.09647	−	3.88286i	−0.251988	−	0.315982i	0.639708	−	0.768618i	$-0.279055\pi$
$151$	−3.09647	−	3.88286i	−0.251988	−	0.315982i	−0.891696	+	0.452636i	$0.850484\pi$
$152$	3.73500	−	1.15209i	0.302948	−	0.0934472i
$153$	−0.733033	+	0.680155i	−0.0592622	+	0.0549873i
$154$	−8.32097	+	1.25418i	−0.670523	+	0.101065i
$155$	−0.447026	+	5.96514i	−0.0359060	+	0.479132i
$156$	−6.72508	+	3.23863i	−0.538437	+	0.259298i
$157$	19.1721	+	5.91380i	1.53010	+	0.471972i	0.941659	−	0.336569i	$-0.109267\pi$
$157$	19.1721	+	5.91380i	1.53010	+	0.471972i	0.588439	+	0.808542i	$0.299743\pi$
$158$	2.08676	+	5.31698i	0.166014	+	0.422996i
$159$	−6.82518	+	4.65333i	−0.541272	+	0.369033i
$160$	−0.988831	−	0.149042i	−0.0781739	−	0.0117828i
$161$	−0.600460	+	2.63079i	−0.0473228	+	0.207335i
$162$	7.07604	+	4.82437i	0.555947	+	0.379038i
$163$	−12.9782	−	12.0420i	−1.01653	−	0.943201i	−0.0181344	−	0.999836i	$-0.505773\pi$
$163$	−12.9782	−	12.0420i	−1.01653	−	0.943201i	−0.998395	+	0.0566341i	$0.981963\pi$
$164$	−8.26932	−	3.98230i	−0.645726	−	0.310965i
$165$	−3.81579	+	6.60914i	−0.297059	+	0.514521i
$166$	−1.04806	−	1.81529i	−0.0813449	−	0.140894i
$167$	0.565154	+	7.54145i	0.0437329	+	0.583575i	0.975426	+	0.220328i	$0.0707128\pi$
$167$	0.565154	+	7.54145i	0.0437329	+	0.583575i	−0.931693	+	0.363247i	$0.881668\pi$
$168$	0.702019	+	3.07575i	0.0541619	+	0.237299i
$169$	2.36489	−	6.02564i	0.181915	−	0.463511i
$170$	−4.49020	+	5.63053i	−0.344383	+	0.431842i
$171$	0.542724			0.0415031
$172$	−3.99986	+	5.19626i	−0.304986	+	0.396211i
$173$	−13.5624			−1.03113			−0.515567	−	0.856850i	$-0.672418\pi$
$173$	−13.5624			−1.03113			−0.515567	+	0.856850i	$0.672418\pi$
$174$	−1.65777	+	2.07877i	−0.125675	+	0.157591i
$175$	−0.681406	+	1.73619i	−0.0515095	+	0.131244i
$176$	−1.00396	−	4.39862i	−0.0756761	−	0.331559i
$177$	−1.09714	−	14.6404i	−0.0824663	−	1.10044i
$178$	−0.316019	−	0.547362i	−0.0236867	−	0.0410265i
$179$	5.05052	−	8.74775i	0.377493	−	0.653837i	−0.613204	−	0.789925i	$-0.710119\pi$
$179$	5.05052	−	8.74775i	0.377493	−	0.653837i	0.990697	+	0.136087i	$0.0434528\pi$
$180$	−0.125101	−	0.0602457i	−0.00932451	−	0.00449045i
$181$	13.1391	+	12.1913i	0.976619	+	0.906170i	0.995605	−	0.0936499i	$-0.0298534\pi$
$181$	13.1391	+	12.1913i	0.976619	+	0.906170i	−0.0189863	+	0.999820i	$0.506044\pi$
$182$	−6.80034	−	4.63640i	−0.504075	−	0.343673i
$183$	−0.157129	+	0.688425i	−0.0116153	+	0.0508898i
$184$	−1.43063	−	0.215633i	−0.105467	−	0.0158967i
$185$	9.02849	−	6.15552i	0.663788	−	0.452563i
$186$	3.69662	+	9.41885i	0.271050	+	0.690623i
$187$	−31.0488	−	9.57728i	−2.27051	−	0.700360i
$188$	4.24974	−	2.04656i	0.309944	−	0.149261i
$189$	−0.740021	+	9.87490i	−0.0538286	+	0.718293i
$190$	3.86499	−	0.582554i	0.280396	−	0.0422629i
$191$	4.17985	−	3.87833i	0.302443	−	0.280626i	−0.514321	−	0.857598i	$-0.671956\pi$
$191$	4.17985	−	3.87833i	0.302443	−	0.280626i	0.816764	+	0.576971i	$0.195766\pi$
$192$	−1.61634	+	0.498576i	−0.116650	+	0.0359816i
$193$	8.74287	+	10.9632i	0.629325	+	0.789149i	0.989623	−	0.143688i	$-0.0458963\pi$
$193$	8.74287	+	10.9632i	0.629325	+	0.789149i	−0.360298	+	0.932837i	$0.617325\pi$
$194$	9.57343	+	12.0047i	0.687332	+	0.861888i
$195$	−7.13266	+	2.20013i	−0.510780	+	0.157555i
$196$	2.58130	−	2.39510i	0.184379	−	0.171079i
$197$	−2.72873	+	0.411290i	−0.194414	+	0.0293032i	−0.245527	−	0.969390i	$-0.578961\pi$
$197$	−2.72873	+	0.411290i	−0.194414	+	0.0293032i	0.0511133	+	0.998693i	$0.483723\pi$
$198$	0.0468158	−	0.624713i	0.00332705	−	0.0443964i
$199$	3.57123	−	1.71981i	0.253158	−	0.121914i	−0.303002	−	0.952990i	$-0.597989\pi$
$199$	3.57123	−	1.71981i	0.253158	−	0.121914i	0.556159	+	0.831076i	$0.312274\pi$
$200$	−0.955573	−	0.294755i	−0.0675692	−	0.0208423i
$201$	−4.31570	−	10.9962i	−0.304406	−	0.775613i
$202$	−15.5698	+	10.6153i	−1.09549	+	0.746890i
$203$	−2.89903	−	0.436959i	−0.203472	−	0.0306685i
$204$	−2.71067	+	11.8762i	−0.189785	+	0.831503i
$205$	−7.58343	−	5.17030i	−0.529650	−	0.361109i
$206$	14.5985	+	13.5454i	1.01712	+	0.943753i
$207$	−0.180995	−	0.0871628i	−0.0125800	−	0.00605823i
$208$	2.20642	−	3.82163i	0.152987	−	0.264982i
$209$	8.81741	+	15.2722i	0.609913	+	1.05640i
$210$	0.235762	+	3.14602i	0.0162691	+	0.217096i
$211$	5.10936	+	22.3856i	0.351743	+	1.54109i	0.773155	+	0.634217i	$0.218677\pi$
$211$	5.10936	+	22.3856i	0.351743	+	1.54109i	−0.421412	+	0.906869i	$0.638466\pi$
$212$	1.78417	−	4.54599i	0.122537	−	0.312220i
$213$	−11.2830	+	14.1485i	−0.773101	+	0.969438i
$214$	−11.0029			−0.752140
$215$	−4.72964	+	4.54208i	−0.322559	+	0.309767i
$216$	−5.30935			−0.361255
$217$	−6.95623	+	8.72283i	−0.472220	+	0.592145i
$218$	0.0819734	−	0.208865i	0.00555194	−	0.0141461i
$219$	−3.98060	−	17.4401i	−0.268984	−	1.17850i
$220$	−0.337163	−	4.49913i	−0.0227315	−	0.303331i
$221$	−15.8900	−	27.5223i	−1.06888	−	1.85135i
$222$	9.24165	−	16.0070i	0.620259	−	1.07432i
$223$	6.93367	+	3.33908i	0.464313	+	0.223601i	0.651389	−	0.758744i	$-0.274187\pi$
$223$	6.93367	+	3.33908i	0.464313	+	0.223601i	−0.187076	+	0.982345i	$0.559901\pi$
$224$	−1.36723	−	1.26861i	−0.0913521	−	0.0847623i
$225$	−0.114725	−	0.0782182i	−0.00764833	−	0.00521455i
$226$	−1.84990	+	8.10495i	−0.123054	+	0.539134i
$227$	−5.61411	−	0.846191i	−0.372622	−	0.0561637i	−0.0399380	−	0.999202i	$-0.512716\pi$
$227$	−5.61411	−	0.846191i	−0.372622	−	0.0561637i	−0.332684	+	0.943038i	$0.607954\pi$
$228$	5.46264	−	3.72436i	0.361772	−	0.246652i
$229$	−9.64373	−	24.5718i	−0.637276	−	1.62375i	−0.774031	−	0.633148i	$-0.781763\pi$
$229$	−9.64373	−	24.5718i	−0.637276	−	1.62375i	0.136755	−	0.990605i	$-0.456333\pi$
$230$	−1.38251	−	0.426448i	−0.0911601	−	0.0281192i
$231$	−12.8243	+	6.17583i	−0.843774	+	0.406340i
$232$	0.117468	−	1.56750i	0.00771215	−	0.102911i
$233$	26.8608	−	4.04862i	1.75971	−	0.265234i	0.811838	−	0.583882i	$-0.198467\pi$
$233$	26.8608	−	4.04862i	1.75971	−	0.265234i	0.947873	+	0.318649i	$0.103229\pi$
$234$	0.449164	−	0.416763i	0.0293628	−	0.0272447i
$235$	4.50729	−	1.39032i	0.294023	−	0.0906942i
$236$	5.41161	+	6.78595i	0.352266	+	0.441728i
$237$	6.02384	+	7.55366i	0.391291	+	0.490663i
$238$	−12.8354	+	3.95918i	−0.831992	+	0.256636i
$239$	−0.309324	+	0.287011i	−0.0200085	+	0.0185652i	−0.690114	−	0.723701i	$-0.742439\pi$
$239$	−0.309324	+	0.287011i	−0.0200085	+	0.0185652i	0.670105	+	0.742266i	$0.266249\pi$
$240$	−1.67260	+	0.252104i	−0.107966	+	0.0162732i
$241$	0.179423	−	2.39424i	0.0115577	−	0.154226i	−0.988439	−	0.151619i	$-0.951551\pi$
$241$	0.179423	−	2.39424i	0.0115577	−	0.154226i	0.999997	−	0.00260685i	$-0.000829786\pi$
$242$	8.42931	−	4.05934i	0.541857	−	0.260944i
$243$	−1.37776	−	0.424983i	−0.0883833	−	0.0272627i
$244$	−0.152515	−	0.388602i	−0.00976377	−	0.0248777i
$245$	2.90944	−	1.98363i	0.185878	−	0.126729i
$246$	−15.3516	−	2.31387i	−0.978779	−	0.147527i
$247$	−3.83809	+	16.8158i	−0.244212	+	1.06996i
$248$	−4.94245	−	3.36971i	−0.313846	−	0.213977i
$249$	−2.59908	−	2.41159i	−0.164710	−	0.152828i
$250$	−0.900969	−	0.433884i	−0.0569823	−	0.0274412i
$251$	−14.1895	+	24.5769i	−0.895632	+	1.55128i	−0.0626110	+	0.998038i	$0.519943\pi$
$251$	−14.1895	+	24.5769i	−0.895632	+	1.55128i	−0.833021	+	0.553242i	$0.813391\pi$
$252$	−0.129488	−	0.224280i	−0.00815699	−	0.0141283i
$253$	−0.487804	−	6.50929i	−0.0306680	−	0.409235i
$254$	3.88114	+	17.0044i	0.243524	+	1.06695i
$255$	−4.45046	+	11.3396i	−0.278699	+	0.710112i
$256$	0.623490	−	0.781831i	0.0389681	−	0.0488645i
$257$	7.98032			0.497799			0.248899	−	0.968529i	$-0.419931\pi$
$257$	7.98032			0.497799			0.248899	+	0.968529i	$0.419931\pi$
$258$	−3.87441	+	10.3932i	−0.241210	+	0.647051i
$259$	20.3806			1.26639
$260$	2.75136	−	3.45009i	0.170632	−	0.213966i
$261$	0.0797397	−	0.203173i	0.00493576	−	0.0125761i
$262$	1.55182	+	6.79898i	0.0958719	+	0.420042i
$263$	1.42904	+	19.0692i	0.0881185	+	1.17586i	0.849512	+	0.527569i	$0.176896\pi$
$263$	1.42904	+	19.0692i	0.0881185	+	1.17586i	−0.761394	+	0.648290i	$0.775484\pi$
$264$	−3.81579	−	6.60914i	−0.234846	−	0.406765i
$265$	2.44179	−	4.22930i	0.149998	−	0.259804i
$266$	6.56817	+	3.16306i	0.402720	+	0.193940i
$267$	−0.783698	−	0.727165i	−0.0479615	−	0.0445018i
$268$	5.77016	+	3.93403i	0.352469	+	0.240309i
$269$	−0.757630	+	3.31939i	−0.0461935	+	0.202387i	−0.992759	−	0.120126i	$-0.961670\pi$
$269$	−0.757630	+	3.31939i	−0.0461935	+	0.202387i	0.946565	+	0.322512i	$0.104527\pi$
$270$	−5.25004	−	0.791317i	−0.319508	−	0.0481580i
$271$	15.4527	−	10.5355i	0.938687	−	0.639986i	0.00573368	−	0.999984i	$-0.498175\pi$
$271$	15.4527	−	10.5355i	0.938687	−	0.639986i	0.932953	+	0.359998i	$0.117223\pi$
$272$	−2.63108	−	6.70389i	−0.159533	−	0.406483i
$273$	−13.3033	−	4.10352i	−0.805152	−	0.248357i
$274$	3.49677	−	1.68396i	0.211248	−	0.101732i
$275$	0.337163	−	4.49913i	0.0203317	−	0.271308i
$276$	−2.41990	+	0.364741i	−0.145661	+	0.0219548i
$277$	5.88058	−	5.45638i	0.353330	−	0.327842i	−0.483460	−	0.875367i	$-0.660620\pi$
$277$	5.88058	−	5.45638i	0.353330	−	0.327842i	0.836790	+	0.547524i	$0.184430\pi$
$278$	3.92620	−	1.21107i	0.235478	−	0.0726352i
$279$	−0.517867	−	0.649385i	−0.0310039	−	0.0388777i
$280$	−1.16289	−	1.45821i	−0.0694957	−	0.0871449i
$281$	−15.3257	+	4.72734i	−0.914253	+	0.282010i	−0.715967	−	0.698135i	$-0.754014\pi$
$281$	−15.3257	+	4.72734i	−0.914253	+	0.282010i	−0.198286	+	0.980144i	$0.563538\pi$
$282$	5.84867	−	5.42677i	0.348283	−	0.323160i
$283$	−30.3163	+	4.56944i	−1.80211	+	0.271625i	−0.962446	−	0.271474i	$-0.912489\pi$
$283$	−30.3163	+	4.56944i	−1.80211	+	0.271625i	−0.839668	+	0.543099i	$0.817251\pi$
$284$	0.799507	−	10.6687i	0.0474420	−	0.633070i
$285$	5.95671	−	2.86860i	0.352845	−	0.169921i
$286$	19.0250	+	5.86845i	1.12497	+	0.347009i
$287$	−6.25412	−	15.9352i	−0.369169	−	0.940628i
$288$	0.114725	−	0.0782182i	0.00676024	−	0.00460905i
$289$	−34.4754	−	5.19632i	−2.02796	−	0.305666i
$290$	0.349780	−	1.53248i	0.0205398	−	0.0899906i
$291$	21.4592	+	14.6307i	1.25796	+	0.857664i
$292$	7.75251	+	7.19327i	0.453681	+	0.420955i
$293$	−6.83105	−	3.28966i	−0.399074	−	0.192184i	0.223572	−	0.974687i	$-0.428228\pi$
$293$	−6.83105	−	3.28966i	−0.399074	−	0.192184i	−0.622646	+	0.782503i	$0.713942\pi$
$294$	2.97814	−	5.15829i	0.173688	−	0.300837i
$295$	4.33978	+	7.51671i	0.252672	+	0.437640i
$296$	0.816592	+	10.8967i	0.0474634	+	0.633356i
$297$	−5.33036	−	23.3538i	−0.309299	−	1.35513i
$298$	1.55789	−	3.96943i	0.0902460	−	0.229943i
$299$	3.98063	−	4.99156i	0.230206	−	0.288669i
$300$	−1.69149			−0.0976584
$301$	−12.0607	+	2.03025i	−0.695170	+	0.117022i
$302$	4.96636			0.285782
$303$	−19.8736	+	24.9207i	−1.14171	+	1.43166i
$304$	−1.42799	+	3.63846i	−0.0819008	+	0.208680i
$305$	−0.0928934	−	0.406993i	−0.00531906	−	0.0233043i
$306$	−0.0747282	−	0.997178i	−0.00427192	−	0.0570049i
$307$	−5.19382	−	8.99596i	−0.296427	−	0.513427i	0.678889	−	0.734241i	$-0.262462\pi$
$307$	−5.19382	−	8.99596i	−0.296427	−	0.513427i	−0.975316	+	0.220814i	$0.929129\pi$
$308$	4.20748	−	7.28757i	0.239743	−	0.415248i
$309$	30.3496	+	14.6156i	1.72653	+	0.831452i
$310$	−4.38502	−	4.06870i	−0.249052	−	0.231087i
$311$	−14.3258	−	9.76719i	−0.812344	−	0.553846i	0.0843820	−	0.996433i	$-0.473108\pi$
$311$	−14.3258	−	9.76719i	−0.812344	−	0.553846i	−0.896726	+	0.442587i	$0.854061\pi$
$312$	1.66096	−	7.27713i	0.0940332	−	0.411986i
$313$	−21.0423	−	3.17161i	−1.18938	−	0.179270i	−0.475613	−	0.879654i	$-0.657774\pi$
$313$	−21.0423	−	3.17161i	−1.18938	−	0.179270i	−0.713766	+	0.700384i	$0.753012\pi$
$314$	−16.5772	+	11.3021i	−0.935504	+	0.637816i
$315$	−0.0946147	−	0.241074i	−0.00533093	−	0.0135830i
$316$	−5.45806	−	1.68359i	−0.307040	−	0.0947092i
$317$	24.6744	−	11.8826i	1.38585	−	0.667391i	0.415613	−	0.909542i	$-0.363567\pi$
$317$	24.6744	−	11.8826i	1.38585	−	0.667391i	0.970239	+	0.242151i	$0.0778529\pi$
$318$	0.617311	−	8.23744i	0.0346171	−	0.461933i
$319$	7.01278	−	1.05701i	0.392640	−	0.0591810i
$320$	0.733052	−	0.680173i	0.0409788	−	0.0380228i
$321$	−17.7844	+	5.48576i	−0.992629	+	0.306186i
$322$	−1.68245	−	2.10973i	−0.0937593	−	0.117570i
$323$	17.5506	+	22.0078i	0.976542	+	1.22454i
$324$	−8.18368	+	2.52433i	−0.454649	+	0.140241i
$325$	3.23484	−	3.00149i	0.179436	−	0.166493i
$326$	17.5066	−	2.63869i	0.969599	−	0.146144i
$327$	0.0283622	−	0.378468i	0.00156843	−	0.0209293i
$328$	8.26932	−	3.98230i	0.456597	−	0.219886i
$329$	8.40666	+	2.59311i	0.463474	+	0.142963i
$330$	−2.78813	−	7.10404i	−0.153481	−	0.391064i
$331$	8.10580	−	5.52644i	0.445535	−	0.303760i	−0.319692	−	0.947522i	$-0.603579\pi$
$331$	8.10580	−	5.52644i	0.445535	−	0.303760i	0.765227	+	0.643761i	$0.222627\pi$
$332$	2.07270	+	0.312409i	0.113754	+	0.0171457i
$333$	−0.337624	+	1.47923i	−0.0185017	+	0.0810611i
$334$	−6.24851	−	4.26016i	−0.341903	−	0.233106i
$335$	5.11938	+	4.75009i	0.279701	+	0.259525i
$336$	−2.84242	−	1.36884i	−0.155067	−	0.0746761i
$337$	9.93205	−	17.2028i	0.541033	−	0.937097i	−0.457812	−	0.889049i	$-0.651367\pi$
$337$	9.93205	−	17.2028i	0.541033	−	0.937097i	0.998845	−	0.0480481i	$-0.0153001\pi$
$338$	3.23655	+	5.60587i	0.176045	+	0.304919i
$339$	1.05086	+	14.0227i	0.0570747	+	0.761609i
$340$	−1.60253	−	7.02116i	−0.0869096	−	0.380776i
$341$	9.86006	−	25.1230i	0.533952	−	1.36049i
$342$	−0.338383	+	0.424319i	−0.0182977	+	0.0229445i
$343$	19.6236			1.05957
$344$	−1.56873	−	6.36703i	−0.0845803	−	0.343287i
$345$	−2.44723			−0.131755
$346$	8.45604	−	10.6035i	0.454600	−	0.570050i
$347$	6.14324	−	15.6527i	0.329786	−	0.840282i	−0.665774	−	0.746154i	$-0.731898\pi$
$347$	6.14324	−	15.6527i	0.329786	−	0.840282i	0.995560	−	0.0941283i	$-0.0300064\pi$
$348$	−0.591650	−	2.59219i	−0.0317158	−	0.138956i
$349$	0.666293	+	8.89106i	0.0356658	+	0.475928i	0.986228	+	0.165393i	$0.0528891\pi$
$349$	0.666293	+	8.89106i	0.0356658	+	0.475928i	−0.950562	+	0.310535i	$0.899492\pi$
$350$	−0.932562	−	1.61524i	−0.0498475	−	0.0863385i
$351$	11.7146	−	20.2903i	0.625281	−	1.08302i
$352$	4.06494	+	1.95757i	0.216662	+	0.104339i
$353$	−3.53271	−	3.27788i	−0.188027	−	0.174464i	0.580542	−	0.814230i	$-0.302841\pi$
$353$	−3.53271	−	3.27788i	−0.188027	−	0.174464i	−0.768569	+	0.639766i	$0.779031\pi$
$354$	12.1303	+	8.27033i	0.644720	+	0.439563i
$355$	2.38066	−	10.4304i	0.126352	−	0.553586i
$356$	0.624979	+	0.0942005i	0.0331238	+	0.00499262i
$357$	−18.7724	+	12.7988i	−0.993540	+	0.677384i
$358$	3.69032	+	9.40278i	0.195040	+	0.496953i
$359$	−2.00951	−	0.619852i	−0.106058	−	0.0327145i	0.241272	−	0.970458i	$-0.422435\pi$
$359$	−2.00951	−	0.619852i	−0.106058	−	0.0327145i	−0.347330	+	0.937743i	$0.612912\pi$
$360$	0.125101	−	0.0602457i	0.00659342	−	0.00317523i
$361$	−0.278180	+	3.71206i	−0.0146411	+	0.195372i
$362$	−17.7236	+	2.67140i	−0.931531	+	0.140406i
$363$	11.6008	−	10.7639i	0.608883	−	0.564961i
$364$	7.86483	−	2.42598i	0.412229	−	0.127156i
$365$	6.59381	+	8.26838i	0.345136	+	0.432787i
$366$	−0.440264	−	0.552074i	−0.0230130	−	0.0288574i
$367$	−0.854993	+	0.263731i	−0.0446303	+	0.0137666i	−0.316990	−	0.948429i	$-0.602672\pi$
$367$	−0.854993	+	0.263731i	−0.0446303	+	0.0137666i	0.272360	+	0.962196i	$0.412196\pi$
$368$	1.06057	−	0.984066i	0.0552861	−	0.0512980i
$369$	1.26019	−	0.189943i	0.0656027	−	0.00988801i
$370$	−0.816592	+	10.8967i	−0.0424526	+	0.566490i
$371$	8.20645	−	3.95202i	0.426058	−	0.205179i
$372$	−9.66876	−	2.98242i	−0.501302	−	0.154631i
$373$	7.92099	+	20.1824i	0.410134	+	1.04500i	0.975468	+	0.220141i	$0.0706519\pi$
$373$	7.92099	+	20.1824i	0.410134	+	1.04500i	−0.565334	+	0.824862i	$0.691253\pi$
$374$	26.8464	−	18.3036i	1.38819	−	0.946455i
$375$	−1.67260	−	0.252104i	−0.0863727	−	0.0130186i
$376$	−1.04960	+	4.59859i	−0.0541289	+	0.237154i
$377$	5.73122	+	3.90748i	0.295173	+	0.201245i
$378$	−7.25911	−	6.73547i	−0.373368	−	0.346435i
$379$	15.1509	+	7.29630i	0.778251	+	0.374786i	0.780455	−	0.625212i	$-0.214987\pi$
$379$	15.1509	+	7.29630i	0.778251	+	0.374786i	−0.00220428	+	0.999998i	$0.500702\pi$
$380$	−1.95432	+	3.38499i	−0.100255	+	0.173646i
$381$	14.7512	+	25.5499i	0.755729	+	1.30896i
$382$	0.426110	+	5.68604i	0.0218017	+	0.290923i
$383$	−2.30095	−	10.0811i	−0.117573	−	0.515120i	−0.999077	−	0.0429449i	$-0.986326\pi$
$383$	−2.30095	−	10.0811i	−0.117573	−	0.515120i	0.881505	−	0.472175i	$-0.156531\pi$
$384$	0.617972	−	1.57457i	0.0315357	−	0.0803517i
$385$	5.24664	−	6.57908i	0.267394	−	0.335301i
$386$	−14.0225			−0.713725
$387$	0.0524414	−	0.909003i	0.00266575	−	0.0462072i
$388$	−15.3546			−0.779511
$389$	−9.15093	+	11.4749i	−0.463971	+	0.581801i	−0.957683	−	0.287824i	$-0.907068\pi$
$389$	−9.15093	+	11.4749i	−0.463971	+	0.581801i	0.493713	+	0.869625i	$0.335640\pi$
$390$	2.72701	−	6.94830i	0.138087	−	0.351841i
$391$	−2.31853	−	10.1581i	−0.117253	−	0.513719i
$392$	0.263148	+	3.51147i	0.0132910	+	0.177356i
$393$	5.89809	+	10.2158i	0.297519	+	0.515318i
$394$	1.37978	−	2.38984i	0.0695121	−	0.120399i
$395$	−5.14617	−	2.47826i	−0.258932	−	0.124695i
$396$	0.459231	+	0.426104i	0.0230772	+	0.0214126i
$397$	16.0408	+	10.9364i	0.805063	+	0.548883i	0.894478	−	0.447112i	$-0.147547\pi$
$397$	16.0408	+	10.9364i	0.805063	+	0.548883i	−0.0894152	+	0.995994i	$0.528500\pi$
$398$	−0.882021	+	3.86439i	−0.0442117	+	0.193704i
$399$	12.1934	+	1.83787i	0.610436	+	0.0920084i
$400$	0.826239	−	0.563320i	0.0413119	−	0.0281660i
$401$	−3.21967	−	8.20358i	−0.160783	−	0.409667i	0.827667	−	0.561220i	$-0.189668\pi$
$401$	−3.21967	−	8.20358i	−0.160783	−	0.409667i	−0.988449	+	0.151553i	$0.951573\pi$
$402$	11.2880	+	3.48188i	0.562993	+	0.173660i
$403$	23.7829	−	11.4532i	1.18471	−	0.570526i
$404$	1.40823	−	18.7915i	0.0700619	−	0.934911i
$405$	−8.46851	+	1.27642i	−0.420804	+	0.0634259i
$406$	2.14915	−	1.99412i	0.106660	−	0.0989664i
$407$	−47.1105	+	14.5317i	−2.33518	+	0.720308i
$408$	−7.59514	−	9.52400i	−0.376015	−	0.471508i
$409$	17.9609	+	22.5222i	0.888109	+	1.11365i	0.992876	+	0.119156i	$0.0380190\pi$
$409$	17.9609	+	22.5222i	0.888109	+	1.11365i	−0.104767	+	0.994497i	$0.533410\pi$
$410$	8.77049	−	2.70534i	0.433144	−	0.133607i
$411$	4.81241	−	4.46526i	0.237379	−	0.220255i
$412$	−19.6922	+	2.96813i	−0.970166	+	0.146229i
$413$	−1.20976	+	16.1432i	−0.0595286	+	0.794354i
$414$	0.180995	−	0.0871628i	0.00889544	−	0.00428382i
$415$	2.00299	+	0.617840i	0.0983228	+	0.0303286i
$416$	1.61219	+	4.10779i	0.0790441	+	0.201401i
$417$	5.74228	−	3.91502i	0.281200	−	0.191719i
$418$	−17.4379	−	2.62833i	−0.852913	−	0.128556i
$419$	1.64449	−	7.20498i	0.0803385	−	0.351986i	−0.918742	−	0.394858i	$-0.870794\pi$
$419$	1.64449	−	7.20498i	0.0803385	−	0.351986i	0.999081	+	0.0428722i	$0.0136508\pi$
$420$	−2.60665	−	1.77719i	−0.127192	−	0.0867178i
$421$	6.81925	+	6.32734i	0.332350	+	0.308376i	0.828641	−	0.559781i	$-0.189115\pi$
$421$	6.81925	+	6.32734i	0.332350	+	0.308376i	−0.496291	+	0.868156i	$0.665305\pi$
$422$	−20.6874	−	9.96251i	−1.00705	−	0.484968i
$423$	−0.327472	+	0.567199i	−0.0159223	+	0.0275781i
$424$	2.44179	+	4.22930i	0.118584	+	0.205393i
$425$	−0.538185	−	7.18158i	−0.0261058	−	0.348358i
$426$	−4.02687	−	17.6429i	−0.195103	−	0.854800i
$427$	0.284459	−	0.724791i	0.0137660	−	0.0350751i
$428$	6.86017	−	8.60238i	0.331599	−	0.415812i
$429$	33.6769			1.62594
$430$	−0.602253	−	6.52972i	−0.0290432	−	0.314891i
$431$	12.6969			0.611588			0.305794	−	0.952098i	$-0.401078\pi$
$431$	12.6969			0.611588			0.305794	+	0.952098i	$0.401078\pi$
$432$	3.31032	−	4.15101i	0.159268	−	0.199716i
$433$	−0.218598	+	0.556979i	−0.0105051	+	0.0267667i	−0.936030	−	0.351920i	$-0.885529\pi$
$433$	−0.218598	+	0.556979i	−0.0105051	+	0.0267667i	0.925525	+	0.378687i	$0.123624\pi$
$434$	−2.48265	−	10.8772i	−0.119171	−	0.522122i
$435$	−0.198696	−	2.65142i	−0.00952675	−	0.127126i
$436$	0.112188	+	0.194315i	0.00537281	+	0.00930598i
$437$	−2.82749	+	4.89736i	−0.135257	+	0.234273i
$438$	16.1171	+	7.76159i	0.770106	+	0.370863i
$439$	17.2925	+	16.0451i	0.825327	+	0.765791i	0.974825	−	0.222971i	$-0.0715754\pi$
$439$	17.2925	+	16.0451i	0.825327	+	0.765791i	−0.149498	+	0.988762i	$0.547766\pi$
$440$	3.72778	+	2.54156i	0.177715	+	0.121164i
$441$	−0.108800	+	0.476683i	−0.00518094	+	0.0226992i
$442$	31.4250	+	4.73656i	1.49474	+	0.225295i
$443$	−16.4968	+	11.2474i	−0.783789	+	0.534378i	−0.887817	−	0.460196i	$-0.847779\pi$
$443$	−16.4968	+	11.2474i	−0.783789	+	0.534378i	0.104028	+	0.994574i	$0.466827\pi$
$444$	6.75271	+	17.2056i	0.320469	+	0.816543i
$445$	0.603959	+	0.186297i	0.0286304	+	0.00883131i
$446$	−6.93367	+	3.33908i	−0.328319	+	0.158110i
$447$	0.539018	−	7.19269i	0.0254947	−	0.340203i
$448$	1.84429	−	0.277982i	0.0871346	−	0.0131334i
$449$	−2.80978	+	2.60710i	−0.132602	+	0.123037i	−0.743686	−	0.668529i	$-0.766924\pi$
$449$	−2.80978	+	2.60710i	−0.132602	+	0.123037i	0.611084	+	0.791566i	$0.290734\pi$
$450$	0.132683	−	0.0409274i	0.00625475	−	0.00192934i
$451$	25.8187	+	32.3756i	1.21575	+	1.52451i
$452$	−5.18331	−	6.49967i	−0.243803	−	0.305719i
$453$	8.02735	−	2.47611i	0.377158	−	0.116338i
$454$	4.16192	−	3.86170i	0.195329	−	0.181238i
$455$	8.13855	−	1.22669i	0.381541	−	0.0575081i
$456$	−0.494074	+	6.59296i	−0.0231371	+	0.308744i
$457$	−22.2147	+	10.6980i	−1.03916	+	0.500432i	−0.874046	−	0.485843i	$-0.838513\pi$
$457$	−22.2147	+	10.6980i	−1.03916	+	0.500432i	−0.165112	+	0.986275i	$0.552798\pi$
$458$	25.2238	+	7.78051i	1.17863	+	0.363560i
$459$	−13.9693	−	35.5933i	−0.652033	−	1.66135i
$460$	1.19539	−	0.815005i	0.0557355	−	0.0379998i
$461$	−19.6836	−	2.96683i	−0.916759	−	0.138179i	−0.326318	−	0.945260i	$-0.605808\pi$
$461$	−19.6836	−	2.96683i	−0.916759	−	0.138179i	−0.590441	+	0.807081i	$0.701046\pi$
$462$	3.16733	−	13.8770i	0.147357	−	0.645615i
$463$	−2.23391	−	1.52305i	−0.103818	−	0.0707822i	0.510298	−	0.859998i	$-0.329535\pi$
$463$	−2.23391	−	1.52305i	−0.103818	−	0.0707822i	−0.614116	+	0.789215i	$0.710487\pi$
$464$	1.15228	+	1.06916i	0.0534933	+	0.0496345i
$465$	−9.11626	−	4.39016i	−0.422756	−	0.203589i
$466$	−13.5821	+	23.5249i	−0.629179	+	1.08977i
$467$	−13.3318	−	23.0913i	−0.616921	−	1.06854i	−0.990044	−	0.140757i	$-0.955046\pi$
$467$	−13.3318	−	23.0913i	−0.616921	−	1.06854i	0.373123	−	0.927782i	$-0.378287\pi$
$468$	0.0457895	+	0.611018i	0.00211662	+	0.0282443i
$469$	2.89842	+	12.6988i	0.133836	+	0.586376i
$470$	−1.72326	+	4.39079i	−0.0794880	+	0.202532i
$471$	−21.1595	+	26.5331i	−0.974976	+	1.22258i
$472$	−8.67955			−0.399509
$473$	26.4312	−	13.2925i	1.21531	−	0.611189i
$474$	−9.66150			−0.443767
$475$	−2.43700	+	3.05590i	−0.111817	+	0.140215i
$476$	4.90730	−	12.5036i	0.224926	−	0.573101i
$477$	0.150890	+	0.661094i	0.00690879	+	0.0302694i
$478$	−0.0315337	−	0.420788i	−0.00144232	−	0.0192464i
$479$	−13.9465	−	24.1560i	−0.637231	−	1.10372i	−0.986038	−	0.166522i	$-0.946746\pi$
$479$	−13.9465	−	24.1560i	−0.637231	−	1.10372i	0.348807	−	0.937195i	$-0.386587\pi$
$480$	0.845746	−	1.46488i	0.0386029	−	0.0668621i
$481$	−43.4447	−	20.9219i	−1.98091	−	0.953955i
$482$	1.76002	+	1.63306i	0.0801668	+	0.0743839i
$483$	−3.77128	−	2.57121i	−0.171599	−	0.116994i
$484$	−2.08187	+	9.12126i	−0.0946304	+	0.414603i
$485$	−15.1831	−	2.28848i	−0.689429	−	0.103915i
$486$	1.19128	−	0.812204i	0.0540377	−	0.0368423i
$487$	−2.62568	−	6.69011i	−0.118981	−	0.303158i	0.858959	−	0.512044i	$-0.171111\pi$
$487$	−2.62568	−	6.69011i	−0.118981	−	0.303158i	−0.977940	+	0.208886i	$0.933016\pi$
$488$	0.398913	+	0.123048i	0.0180579	+	0.00557013i
$489$	26.9811	−	12.9934i	1.22013	−	0.587582i
$490$	−0.263148	+	3.51147i	−0.0118878	+	0.158632i
$491$	6.21410	−	0.936625i	0.280438	−	0.0422693i	−0.00731698	−	0.999973i	$-0.502329\pi$
$491$	6.21410	−	0.936625i	0.280438	−	0.0422693i	0.287755	+	0.957704i	$0.407091\pi$
$492$	11.3806	−	10.5597i	0.513077	−	0.476066i
$493$	10.8174	−	3.33673i	0.487192	−	0.150279i
$494$	−10.7541	−	13.4852i	−0.483849	−	0.606728i
$495$	0.390595	+	0.489790i	0.0175559	+	0.0220144i
$496$	5.71611	−	1.76319i	0.256661	−	0.0791694i
$497$	14.6275	−	13.5723i	0.656131	−	0.608801i
$498$	3.50596	−	0.528438i	0.157106	−	0.0236799i
$499$	−0.715266	+	9.54456i	−0.0320197	+	0.427273i	0.958041	+	0.286632i	$0.0925355\pi$
$499$	−0.715266	+	9.54456i	−0.0320197	+	0.427273i	−0.990061	+	0.140642i	$0.955084\pi$
$500$	0.900969	−	0.433884i	0.0402926	−	0.0194039i
$501$	−12.2238	−	3.77053i	−0.546117	−	0.168455i
$502$	−10.3680	−	26.4172i	−0.462746	−	1.17906i
$503$	13.6065	−	9.27676i	0.606684	−	0.413630i	−0.220640	−	0.975355i	$-0.570815\pi$
$503$	13.6065	−	9.27676i	0.606684	−	0.413630i	0.827324	+	0.561725i	$0.189862\pi$
$504$	0.256084	+	0.0385984i	0.0114069	+	0.00171931i
$505$	4.19322	−	18.3717i	0.186596	−	0.817530i
$506$	5.39331	+	3.67709i	0.239762	+	0.163467i
$507$	8.02634	+	7.44735i	0.356462	+	0.330749i
$508$	−15.7144	−	7.56766i	−0.697214	−	0.335761i
$509$	−19.0060	+	32.9194i	−0.842426	+	1.45913i	0.0454113	+	0.998968i	$0.485540\pi$
$509$	−19.0060	+	32.9194i	−0.842426	+	1.45913i	−0.887838	+	0.460157i	$0.847793\pi$
$510$	−6.09083	−	10.5496i	−0.269706	−	0.467145i
$511$	1.47404	+	19.6698i	0.0652079	+	0.870139i
$512$	0.222521	+	0.974928i	0.00983413	+	0.0430861i
$513$	−7.58169	+	19.3178i	−0.334740	+	0.852903i
$514$	−4.97565	+	6.23926i	−0.219466	+	0.275202i
$515$	−19.9147			−0.877544
$516$	−5.71006	−	9.50918i	−0.251371	−	0.418618i
$517$	−21.2812			−0.935947
$518$	−12.7071	+	15.9342i	−0.558318	+	0.700109i
$519$	8.38120	−	21.3550i	0.367894	−	0.937379i
$520$	0.981948	+	4.30219i	0.0430613	+	0.188664i
$521$	0.931682	+	12.4324i	0.0408177	+	0.544675i	0.979704	+	0.200448i	$0.0642398\pi$
$521$	0.931682	+	12.4324i	0.0408177	+	0.544675i	−0.938887	+	0.344227i	$0.888141\pi$
$522$	0.109131	+	0.189020i	0.00477651	+	0.00827316i
$523$	15.6201	−	27.0547i	0.683018	−	1.18302i	−0.291038	−	0.956712i	$-0.594001\pi$
$523$	15.6201	−	27.0547i	0.683018	−	1.18302i	0.974055	−	0.226310i	$-0.0726661\pi$
$524$	−6.28320	−	3.02583i	−0.274483	−	0.132184i
$525$	−2.31266	−	2.14584i	−0.100933	−	0.0936521i
$526$	−15.7999	−	10.7722i	−0.688909	−	0.469690i
$527$	9.58614	−	41.9996i	0.417579	−	1.82953i
$528$	7.54634	+	1.13743i	0.328412	+	0.0495002i
$529$	−17.2740	+	11.7772i	−0.751044	+	0.512053i
$530$	1.78417	+	4.54599i	0.0774994	+	0.197465i
$531$	−1.15163	−	0.355231i	−0.0499766	−	0.0154157i
$532$	−6.56817	+	3.16306i	−0.284766	+	0.137136i
$533$	−3.02673	+	40.3889i	−0.131102	+	1.74944i
$534$	1.05715	−	0.159339i	0.0457473	−	0.00689529i
$535$	8.06567	−	7.48385i	0.348709	−	0.323555i
$536$	−6.67338	+	2.05847i	−0.288246	+	0.0889122i
$537$	10.6528	+	13.3582i	0.459704	+	0.576450i
$538$	−2.12283	−	2.66195i	−0.0915218	−	0.114765i
$539$	−15.1814	+	4.68285i	−0.653911	+	0.201705i
$540$	3.89203	−	3.61127i	0.167486	−	0.155404i
$541$	7.35973	−	1.10930i	0.316420	−	0.0476926i	0.0110876	−	0.999939i	$-0.496471\pi$
$541$	7.35973	−	1.10930i	0.316420	−	0.0476926i	0.305332	+	0.952246i	$0.401233\pi$
$542$	−1.39764	+	18.6502i	−0.0600338	+	0.801095i
$543$	−27.3155	+	13.1545i	−1.17222	+	0.564512i
$544$	6.88177	+	2.12274i	0.295053	+	0.0910119i
$545$	0.0819734	+	0.208865i	0.00351136	+	0.00894679i
$546$	11.5027	−	7.84243i	0.492272	−	0.335625i
$547$	17.1973	+	2.59208i	0.735303	+	0.110829i	0.506009	−	0.862528i	$-0.331120\pi$
$547$	17.1973	+	2.59208i	0.735303	+	0.110829i	0.229294	+	0.973357i	$0.426358\pi$
$548$	−0.863631	+	3.78382i	−0.0368925	+	0.161637i
$549$	0.0478930	+	0.0326529i	0.00204402	+	0.00139359i
$550$	3.30734	+	3.06876i	0.141026	+	0.130853i
$551$	−5.53554	−	2.66578i	−0.235822	−	0.113566i
$552$	1.22362	−	2.11937i	0.0520806	−	0.0902062i
$553$	−5.32662	−	9.22598i	−0.226511	−	0.392329i
$554$	0.599489	+	7.99962i	0.0254698	+	0.339871i
$555$	4.11292	+	18.0199i	0.174584	+	0.764902i
$556$	−1.50109	+	3.82472i	−0.0636604	+	0.162204i
$557$	−17.3895	+	21.8057i	−0.736817	+	0.923939i	−0.999158	−	0.0410363i	$-0.986934\pi$
$557$	−17.3895	+	21.8057i	−0.736817	+	0.923939i	0.262341	+	0.964975i	$0.415505\pi$
$558$	0.830595			0.0351619
$559$	27.7937	+	8.05322i	1.17555	+	0.340615i
$560$	1.86512			0.0788159
$561$	34.2673	−	42.9699i	1.44677	−	1.81419i
$562$	5.85941	−	14.9295i	0.247164	−	0.629765i
$563$	0.923923	+	4.04797i	0.0389387	+	0.170602i	0.990658	−	0.136367i	$-0.0435426\pi$
$563$	0.923923	+	4.04797i	0.0389387	+	0.170602i	−0.951720	+	0.306968i	$0.900685\pi$
$564$	0.596235	+	7.95621i	0.0251060	+	0.335017i
$565$	−4.15669	−	7.19961i	−0.174873	−	0.302890i
$566$	15.3293	−	26.5512i	0.644340	−	1.11603i
$567$	−14.3914	−	6.93052i	−0.604381	−	0.291055i
$568$	7.84262	+	7.27689i	0.329069	+	0.305332i
$569$	8.77533	+	5.98292i	0.367881	+	0.250817i	0.733124	−	0.680095i	$-0.238062\pi$
$569$	8.77533	+	5.98292i	0.367881	+	0.250817i	−0.365243	+	0.930912i	$0.619014\pi$
$570$	−1.47119	+	6.44569i	−0.0616212	+	0.269980i
$571$	−13.5403	−	2.04087i	−0.566644	−	0.0854078i	−0.140528	−	0.990077i	$-0.544880\pi$
$571$	−13.5403	−	2.04087i	−0.566644	−	0.0854078i	−0.426115	+	0.904669i	$0.640118\pi$
$572$	−16.4501	+	11.2155i	−0.687812	+	0.468942i
$573$	3.52366	+	8.97815i	0.147203	+	0.375068i
$574$	16.3581	+	5.04579i	0.682772	+	0.210607i
$575$	1.30351	−	0.627738i	0.0543602	−	0.0261785i
$576$	−0.0103764	+	0.138464i	−0.000432351	+	0.00576933i
$577$	−32.6661	+	4.92362i	−1.35991	+	0.204973i	−0.788167	−	0.615462i	$-0.788969\pi$
$577$	−32.6661	+	4.92362i	−1.35991	+	0.204973i	−0.571740	+	0.820435i	$0.693731\pi$
$578$	25.5577	−	23.7141i	1.06306	−	0.986375i
$579$	−22.6651	+	6.99127i	−0.941931	+	0.290547i
$580$	0.980061	+	1.22896i	0.0406948	+	0.0510297i
$581$	2.43754	+	3.05658i	0.101126	+	0.126808i
$582$	−24.8183	+	7.65544i	−1.02875	+	0.317328i
$583$	−16.1517	+	14.9866i	−0.668933	+	0.620680i
$584$	−10.4575	+	1.57622i	−0.432736	+	0.0652244i
$585$	−0.0457895	+	0.611018i	−0.00189316	+	0.0252625i
$586$	6.83105	−	3.28966i	0.282188	−	0.135895i
$587$	6.77531	+	2.08991i	0.279647	+	0.0862596i	0.431406	−	0.902158i	$-0.358018\pi$
$587$	6.77531	+	2.08991i	0.279647	+	0.0862596i	−0.151759	+	0.988417i	$0.548494\pi$
$588$	2.17607	+	5.54454i	0.0897397	+	0.228653i
$589$	−19.3183	+	13.1710i	−0.795997	+	0.542701i
$590$	−8.58261	−	1.29362i	−0.353340	−	0.0532575i
$591$	1.03868	−	4.55073i	0.0427254	−	0.187192i
$592$	−9.02849	−	6.15552i	−0.371069	−	0.252990i
$593$	−0.769861	−	0.714327i	−0.0316144	−	0.0293339i	0.664207	−	0.747548i	$-0.268769\pi$
$593$	−0.769861	−	0.714327i	−0.0316144	−	0.0293339i	−0.695822	+	0.718214i	$0.744960\pi$
$594$	21.5822	+	10.3934i	0.885527	+	0.426447i
$595$	6.71605	−	11.6325i	0.275331	−	0.476888i
$596$	2.13210	+	3.69291i	0.0873342	+	0.151267i
$597$	0.501041	+	6.68593i	0.0205063	+	0.273637i
$598$	1.42067	+	6.22437i	0.0580956	+	0.254533i
$599$	−11.0614	+	28.1840i	−0.451957	+	1.15157i	0.505458	+	0.862851i	$0.331324\pi$
$599$	−11.0614	+	28.1840i	−0.451957	+	1.15157i	−0.957415	+	0.288716i	$0.906772\pi$
$600$	1.05463	−	1.32246i	0.0430550	−	0.0539893i
$601$	37.6414			1.53542			0.767712	−	0.640795i	$-0.221395\pi$
$601$	37.6414			1.53542			0.767712	+	0.640795i	$0.221395\pi$
$602$	5.93244	−	10.6953i	0.241788	−	0.435909i
$603$	−0.969694			−0.0394890
$604$	−3.09647	+	3.88286i	−0.125994	+	0.157991i
$605$	−3.41807	+	8.70910i	−0.138964	+	0.354075i
$606$	−7.09281	−	31.0756i	−0.288126	−	1.26236i
$607$	1.26919	+	16.9362i	0.0515150	+	0.687419i	0.961855	+	0.273559i	$0.0882008\pi$
$607$	1.26919	+	16.9362i	0.0515150	+	0.687419i	−0.910340	+	0.413861i	$0.864180\pi$
$608$	−1.95432	−	3.38499i	−0.0792583	−	0.137279i
$609$	2.47954	−	4.29469i	0.100476	−	0.174030i
$610$	0.376118	+	0.181129i	0.0152286	+	0.00733369i
$611$	−15.2582	−	14.1576i	−0.617282	−	0.572754i
$612$	0.826217	+	0.563305i	0.0333979	+	0.0227703i
$613$	8.06771	−	35.3470i	0.325852	−	1.42765i	−0.501106	−	0.865386i	$-0.667073\pi$
$613$	8.06771	−	35.3470i	0.325852	−	1.42765i	0.826958	−	0.562264i	$-0.190070\pi$
$614$	10.2716	+	1.54820i	0.414529	+	0.0624802i
$615$	12.8273	−	8.74552i	0.517248	−	0.352653i
$616$	3.07433	+	7.83327i	0.123868	+	0.315611i
$617$	−33.7743	−	10.4180i	−1.35970	−	0.419413i	−0.472719	−	0.881213i	$-0.656727\pi$
$617$	−33.7743	−	10.4180i	−1.35970	−	0.419413i	−0.886984	+	0.461801i	$0.847204\pi$
$618$	−30.3496	+	14.6156i	−1.22084	+	0.587925i
$619$	−0.833135	+	11.1174i	−0.0334865	+	0.446846i	0.955109	+	0.296253i	$0.0957373\pi$
$619$	−0.833135	+	11.1174i	−0.0334865	+	0.446846i	−0.988596	+	0.150593i	$0.951882\pi$
$620$	5.91505	−	0.891551i	0.237554	−	0.0358056i
$621$	5.63094	−	5.22475i	0.225962	−	0.209662i
$622$	16.5683	−	5.11065i	0.664329	−	0.204918i
$623$	0.734989	+	0.921647i	0.0294467	+	0.0369250i
$624$	4.65390	+	5.83581i	0.186305	+	0.233619i
$625$	0.955573	−	0.294755i	0.0382229	−	0.0117902i
$626$	15.5993	−	14.4740i	0.623474	−	0.578499i
$627$	−29.4960	+	4.44581i	−1.17796	+	0.177548i
$628$	1.49934	−	20.0073i	0.0598302	−	0.798379i
$629$	−70.9015	+	34.1444i	−2.82703	+	1.36143i
$630$	0.247471	+	0.0763346i	0.00985947	+	0.00304124i
$631$	11.4873	+	29.2692i	0.457303	+	1.16519i	0.954675	+	0.297652i	$0.0962034\pi$
$631$	11.4873	+	29.2692i	0.457303	+	1.16519i	−0.497372	+	0.867538i	$0.665701\pi$
$632$	4.71932	−	3.21758i	0.187725	−	0.127988i
$633$	−38.4050	−	5.78862i	−1.52646	−	0.230077i
$634$	−6.09407	+	26.6999i	−0.242026	+	1.06039i
$635$	−14.4110	−	9.82525i	−0.571883	−	0.389903i
$636$	6.05540	+	5.61859i	0.240112	+	0.222792i
$637$	−14.0001	−	6.74211i	−0.554705	−	0.267132i
$638$	−3.54599	+	6.14184i	−0.140387	+	0.243158i
$639$	0.742761	+	1.28650i	0.0293832	+	0.0508931i
$640$	0.0747301	+	0.997204i	0.00295397	+	0.0394179i
$641$	3.74159	+	16.3930i	0.147784	+	0.647484i	0.993498	+	0.113848i	$0.0363176\pi$
$641$	3.74159	+	16.3930i	0.147784	+	0.647484i	−0.845714	+	0.533636i	$0.820825\pi$
$642$	6.79946	−	17.3247i	0.268353	−	0.683753i
$643$	7.66724	−	9.61441i	0.302366	−	0.379155i	−0.607316	−	0.794460i	$-0.707754\pi$
$643$	7.66724	−	9.61441i	0.302366	−	0.379155i	0.909682	+	0.415305i	$0.136325\pi$
$644$	2.69844			0.106333
$645$	−4.22901	−	10.2540i	−0.166517	−	0.403751i
$646$	−28.1490			−1.10751
$647$	−9.99594	+	12.5345i	−0.392981	+	0.492782i	−0.938482	−	0.345327i	$-0.887768\pi$
$647$	−9.99594	+	12.5345i	−0.392981	+	0.492782i	0.545501	+	0.838110i	$0.316339\pi$
$648$	3.12884	−	7.97216i	0.122912	−	0.313176i
$649$	−8.71390	−	38.1781i	−0.342051	−	1.49862i
$650$	0.329771	+	4.40049i	0.0129347	+	0.172602i
$651$	−9.43593	−	16.3435i	−0.369823	−	0.640553i
$652$	−8.85216	+	15.3324i	−0.346677	+	0.600462i
$653$	11.1936	+	5.39055i	0.438039	+	0.210949i	0.639888	−	0.768468i	$-0.278981\pi$
$653$	11.1936	+	5.39055i	0.438039	+	0.210949i	−0.201849	+	0.979417i	$0.564695\pi$
$654$	0.278214	+	0.258145i	0.0108790	+	0.0100943i
$655$	−5.76204	−	3.92850i	−0.225142	−	0.153499i
$656$	−2.04235	+	8.94814i	−0.0797405	+	0.349366i
$657$	−1.45205	−	0.218861i	−0.0566499	−	0.00853860i
$658$	−7.26885	+	4.95581i	−0.283369	+	0.193198i
$659$	10.7691	+	27.4393i	0.419506	+	1.06888i	0.971919	+	0.235314i	$0.0756119\pi$
$659$	10.7691	+	27.4393i	0.419506	+	1.06888i	−0.552413	+	0.833571i	$0.686293\pi$
$660$	7.29253	+	2.24945i	0.283861	+	0.0875597i
$661$	37.4749	−	18.0470i	1.45761	−	0.701946i	0.473709	−	0.880681i	$-0.342915\pi$
$661$	37.4749	−	18.0470i	1.45761	−	0.701946i	0.983897	+	0.178735i	$0.0572005\pi$
$662$	−0.733138	+	9.78304i	−0.0284942	+	0.380229i
$663$	53.1552	−	8.01186i	2.06438	−	0.311155i
$664$	−1.53656	+	1.42572i	−0.0596300	+	0.0553286i
$665$	−6.96623	+	2.14880i	−0.270139	+	0.0833268i
$666$	−0.946000	−	1.18625i	−0.0366568	−	0.0459661i
$667$	1.41794	+	1.77804i	0.0549029	+	0.0688461i
$668$	7.22661	−	2.22911i	0.279606	−	0.0862470i
$669$	−9.54242	+	8.85407i	−0.368931	+	0.342318i
$670$	−6.90565	+	1.04086i	−0.266788	+	0.0402119i
$671$	−0.140752	+	1.87820i	−0.00543366	+	0.0725072i
$672$	2.84242	−	1.36884i	0.109649	−	0.0528040i
$673$	−1.86843	−	0.576334i	−0.0720226	−	0.0222160i	0.258535	−	0.966002i	$-0.416760\pi$
$673$	−1.86843	−	0.576334i	−0.0720226	−	0.0222160i	−0.330557	+	0.943786i	$0.607237\pi$
$674$	7.25717	+	18.4910i	0.279536	+	0.712246i
$675$	4.38679	−	2.99086i	0.168848	−	0.115118i
$676$	−6.40080	−	0.964766i	−0.246185	−	0.0371064i
$677$	−6.97087	+	30.5414i	−0.267912	+	1.17380i	0.644525	+	0.764583i	$0.277055\pi$
$677$	−6.97087	+	30.5414i	−0.267912	+	1.17380i	−0.912437	+	0.409217i	$0.865802\pi$
$678$	−11.6186	−	7.92143i	−0.446210	−	0.304221i
$679$	−20.9933	−	19.4789i	−0.805649	−	0.747533i
$680$	6.48853	+	3.12471i	0.248824	+	0.119827i
$681$	4.80175	−	8.31687i	0.184003	−	0.318703i
$682$	13.4943	+	23.3729i	0.516724	+	0.894993i
$683$	1.30914	+	17.4693i	0.0500929	+	0.668443i	0.964574	+	0.263814i	$0.0849805\pi$
$683$	1.30914	+	17.4693i	0.0500929	+	0.668443i	−0.914481	+	0.404630i	$0.867400\pi$
$684$	−0.120767	−	0.529117i	−0.00461766	−	0.0202313i
$685$	−1.41793	+	3.61284i	−0.0541765	+	0.138039i
$686$	−12.2351	+	15.3423i	−0.467138	+	0.585772i
$687$	44.6495			1.70349
$688$	5.95603	+	2.74330i	0.227072	+	0.104587i
$689$	−21.5504			−0.821005
$690$	1.52582	−	1.91332i	0.0580872	−	0.0728390i
$691$	−16.0158	+	40.8076i	−0.609270	+	1.55239i	0.209217	+	0.977869i	$0.432908\pi$
$691$	−16.0158	+	40.8076i	−0.609270	+	1.55239i	−0.818487	+	0.574525i	$0.805187\pi$
$692$	3.01793	+	13.2224i	0.114724	+	0.502640i
$693$	0.0873173	+	1.16517i	0.00331691	+	0.0442611i
$694$	8.40754	+	14.5623i	0.319146	+	0.552777i
$695$	−2.05437	+	3.55827i	−0.0779266	+	0.134973i
$696$	2.39554	+	1.15363i	0.0908028	+	0.0437283i
$697$	48.4542	+	44.9589i	1.83533	+	1.70294i
$698$	−7.36674	−	5.02256i	−0.278835	−	0.190107i
$699$	−10.2244	+	44.7961i	−0.386723	+	1.69434i
$700$	1.84429	+	0.277982i	0.0697077	+	0.0105067i
$701$	15.6310	−	10.6570i	0.590375	−	0.402511i	−0.230955	−	0.972965i	$-0.574185\pi$
$701$	15.6310	−	10.6570i	0.590375	−	0.402511i	0.821330	+	0.570453i	$0.193233\pi$
$702$	8.55967	+	21.8097i	0.323064	+	0.823153i
$703$	40.8131	+	12.5892i	1.53930	+	0.474810i
$704$	−4.06494	+	1.95757i	−0.153203	+	0.0737788i
$705$	−0.596235	+	7.95621i	−0.0224555	+	0.299648i
$706$	4.76535	−	0.718262i	0.179346	−	0.0270321i
$707$	25.7644	−	23.9058i	0.968969	−	0.899072i
$708$	−14.0291	+	4.32742i	−0.527248	+	0.162634i
$709$	11.4590	+	14.3691i	0.430350	+	0.539642i	0.948971	−	0.315362i	$-0.102126\pi$
$709$	11.4590	+	14.3691i	0.430350	+	0.539642i	−0.518621	+	0.855004i	$0.673555\pi$
$710$	6.67046	+	8.36450i	0.250338	+	0.313914i
$711$	0.757863	−	0.233770i	0.0284221	−	0.00876705i
$712$	−0.463317	+	0.429896i	−0.0173635	+	0.0161110i
$713$	8.55784	−	1.28989i	0.320493	−	0.0483066i
$714$	1.69789	−	22.6568i	0.0635419	−	0.847908i
$715$	−17.9379	+	8.63844i	−0.670840	+	0.323059i
$716$	−9.65227	−	2.97733i	−0.360722	−	0.111268i
$717$	−0.260764	−	0.664416i	−0.00973841	−	0.0248131i
$718$	1.73753	−	1.18463i	0.0648440	−	0.0442099i
$719$	18.5484	+	2.79572i	0.691738	+	0.104263i	0.485497	−	0.874239i	$-0.338639\pi$
$719$	18.5484	+	2.79572i	0.691738	+	0.104263i	0.206241	+	0.978501i	$0.433877\pi$
$720$	−0.0308975	+	0.135371i	−0.00115148	+	0.00504497i
$721$	−30.6892	−	20.9236i	−1.14293	−	0.779234i
$722$	−2.72876	−	2.53192i	−0.101554	−	0.0942284i
$723$	3.65901	+	1.76208i	0.136080	+	0.0655326i
$724$	8.96189	−	15.5225i	0.333066	−	0.576887i
$725$	0.785948	+	1.36130i	0.0291894	+	0.0505575i
$726$	1.18263	+	15.7811i	0.0438914	+	0.585690i
$727$	−11.3394	−	49.6811i	−0.420555	−	1.84257i	−0.529210	−	0.848491i	$-0.677512\pi$
$727$	−11.3394	−	49.6811i	−0.420555	−	1.84257i	0.108656	−	0.994079i	$-0.465345\pi$
$728$	−3.00693	+	7.66154i	−0.111444	+	0.283956i
$729$	17.5396	−	21.9939i	0.649614	−	0.814591i
$730$	−10.5757			−0.391423
$731$	38.5564	−	27.2688i	1.42606	−	1.00857i
$732$	0.706129			0.0260993
$733$	28.2607	−	35.4378i	1.04383	−	1.30893i	0.0942040	−	0.995553i	$-0.469969\pi$
$733$	28.2607	−	35.4378i	1.04383	−	1.30893i	0.949630	−	0.313373i	$-0.101459\pi$
$734$	0.326887	−	0.832894i	0.0120656	−	0.0307427i
$735$	1.32540	+	5.80694i	0.0488880	+	0.214192i
$736$	0.108119	+	1.44274i	0.00398531	+	0.0531802i
$737$	−15.7542	−	27.2871i	−0.580314	−	1.00513i
$738$	−0.637210	+	1.10368i	−0.0234560	+	0.0406270i
$739$	21.4580	+	10.3336i	0.789344	+	0.380128i	0.784711	−	0.619861i	$-0.212811\pi$
$739$	21.4580	+	10.3336i	0.789344	+	0.380128i	0.00463251	+	0.999989i	$0.498525\pi$
$740$	−8.01022	−	7.43239i	−0.294461	−	0.273220i
$741$	−24.1057	−	16.4350i	−0.885545	−	0.603755i
$742$	−2.02683	+	8.88011i	−0.0744072	+	0.325999i
$743$	−12.0778	−	1.82044i	−0.443093	−	0.0667855i	−0.0762930	−	0.997085i	$-0.524308\pi$
$743$	−12.0778	−	1.82044i	−0.443093	−	0.0667855i	−0.366800	+	0.930300i	$0.619547\pi$
$744$	8.36012	−	5.69983i	0.306497	−	0.208966i
$745$	1.55789	+	3.96943i	0.0570766	+	0.145429i
$746$	−20.7179	−	6.39062i	−0.758535	−	0.233977i
$747$	−0.262227	+	0.126282i	−0.00959437	+	0.00462040i
$748$	−2.42815	+	32.4015i	−0.0887821	+	1.18471i
$749$	20.2925	−	3.05860i	0.741471	−	0.111759i
$750$	1.23995	−	1.15051i	0.0452766	−	0.0420106i
$751$	−14.3317	+	4.42076i	−0.522973	+	0.161316i	−0.544991	−	0.838442i	$-0.683467\pi$
$751$	−14.3317	+	4.42076i	−0.522973	+	0.161316i	0.0220183	+	0.999758i	$0.492991\pi$
$752$	−2.94091	−	3.68778i	−0.107244	−	0.134480i
$753$	−29.9293	−	37.5301i	−1.09068	−	1.36767i
$754$	−6.62834	+	2.04457i	−0.241390	+	0.0744590i
$755$	−3.64060	+	3.37798i	−0.132495	+	0.122937i
$756$	9.79198	−	1.47590i	0.356131	−	0.0536781i
$757$	−1.76649	+	23.5722i	−0.0642042	+	0.856746i	0.868404	+	0.495857i	$0.165146\pi$
$757$	−1.76649	+	23.5722i	−0.0642042	+	0.856746i	−0.932609	+	0.360889i	$0.882473\pi$
$758$	−15.1509	+	7.29630i	−0.550307	+	0.265014i
$759$	10.5508	+	3.25448i	0.382968	+	0.118130i
$760$	−1.42799	−	3.63846i	−0.0517986	−	0.131981i
$761$	−7.32215	+	4.99215i	−0.265428	+	0.180965i	−0.688719	−	0.725028i	$-0.741827\pi$
$761$	−7.32215	+	4.99215i	−0.265428	+	0.180965i	0.423292	+	0.905993i	$0.360874\pi$
$762$	−29.1729	−	4.39711i	−1.05682	−	0.159291i
$763$	−0.0931222	+	0.407995i	−0.00337125	+	0.0147704i
$764$	−4.71120	−	3.21204i	−0.170445	−	0.116208i
$765$	0.733033	+	0.680155i	0.0265029	+	0.0245911i
$766$	9.31634	+	4.48651i	0.336613	+	0.162104i
$767$	19.1507	−	33.1700i	0.691492	−	1.19770i
$768$	0.845746	+	1.46488i	0.0305182	+	0.0528592i
$769$	−0.758432	−	10.1206i	−0.0273497	−	0.364957i	−0.994041	−	0.109010i	$-0.965232\pi$
$769$	−0.758432	−	10.1206i	−0.0273497	−	0.364957i	0.966691	−	0.255947i	$-0.0823872\pi$
$770$	1.87250	+	8.20398i	0.0674804	+	0.295651i
$771$	−4.93161	+	12.5655i	−0.177608	+	0.452537i
$772$	8.74287	−	10.9632i	0.314663	−	0.394574i
$773$	−22.0684			−0.793745			−0.396872	−	0.917874i	$-0.629904\pi$
$773$	−22.0684			−0.793745			−0.396872	+	0.917874i	$0.629904\pi$
$774$	0.677990	+	0.607754i	0.0243699	+	0.0218453i
$775$	5.98187			0.214875
$776$	9.57343	−	12.0047i	0.343666	−	0.430944i
$777$	−12.5946	+	32.0906i	−0.451830	+	1.15124i
$778$	−3.26593	−	14.3090i	−0.117089	−	0.513002i
$779$	−2.68091	−	35.7743i	−0.0960536	−	1.28175i
$780$	3.73214	+	6.46425i	0.133632	+	0.231457i
$781$	−24.1347	+	41.8024i	−0.863606	+	1.49581i
$782$	9.38753	+	4.52079i	0.335697	+	0.161663i
$783$	6.11786	+	5.67654i	0.218634	+	0.202863i
$784$	−2.90944	−	1.98363i	−0.103909	−	0.0708438i
$785$	4.46453	−	19.5604i	0.159346	−	0.698140i
$786$	−11.6644	−	1.75813i	−0.416056	−	0.0627104i
$787$	39.0266	−	26.6079i	1.39115	−	0.948470i	0.391551	−	0.920157i	$-0.371939\pi$
$787$	39.0266	−	26.6079i	1.39115	−	0.948470i	0.999599	−	0.0283131i	$-0.00901356\pi$
$788$	1.00818	+	2.56880i	0.0359148	+	0.0915095i
$789$	−30.9089	−	9.53413i	−1.10039	−	0.339424i
$790$	5.14617	−	2.47826i	0.183092	−	0.0881727i
$791$	1.15873	−	15.4621i	0.0411996	−	0.549771i
$792$	−0.619468	+	0.0933698i	−0.0220118	+	0.00331775i
$793$	−1.35041	+	1.25300i	−0.0479545	+	0.0444953i
$794$	−18.5517	+	5.72244i	−0.658375	+	0.203082i
$795$	5.15036	+	6.45835i	0.182664	+	0.229054i
$796$	−2.47137	−	3.09900i	−0.0875953	−	0.109841i
$797$	−22.2896	+	6.87542i	−0.789537	+	0.243540i	−0.663195	−	0.748447i	$-0.730800\pi$
$797$	−22.2896	+	6.87542i	−0.789537	+	0.243540i	−0.126342	+	0.991987i	$0.540324\pi$
$798$	−9.03939	+	8.38733i	−0.319991	+	0.296908i
$799$	−33.5900	+	5.06288i	−1.18833	+	0.179112i
$800$	−0.0747301	+	0.997204i	−0.00264211	+	0.0352565i
$801$	−0.0790690	+	0.0380776i	−0.00279376	+	0.00134541i
$802$	8.42125	+	2.59761i	0.297365	+	0.0917248i
$803$	−17.4321	−	44.4163i	−0.615166	−	1.56742i
$804$	−9.76018	+	6.65438i	−0.344215	+	0.234682i
$805$	2.66830	+	0.402182i	0.0940453	+	0.0141750i
$806$	−5.87388	+	25.7352i	−0.206899	+	0.906482i
$807$	−4.75841	−	3.24423i	−0.167504	−	0.114202i
$808$	13.8138	+	12.8173i	0.485966	+	0.450911i
$809$	24.5785	+	11.8364i	0.864133	+	0.416144i	0.812804	−	0.582537i	$-0.197940\pi$
$809$	24.5785	+	11.8364i	0.864133	+	0.416144i	0.0513289	+	0.998682i	$0.483654\pi$
$810$	4.28208	−	7.41678i	0.150457	−	0.260599i
$811$	17.2379	+	29.8570i	0.605305	+	1.04842i	0.992003	+	0.126213i	$0.0402824\pi$
$811$	17.2379	+	29.8570i	0.605305	+	1.04842i	−0.386698	+	0.922207i	$0.626384\pi$
$812$	0.219092	+	2.92358i	0.00768863	+	0.102598i
$813$	7.03948	+	30.8420i	0.246885	+	1.08168i
$814$	18.0116	−	45.8928i	0.631306	−	1.60854i
$815$	−11.0385	+	13.8418i	−0.386660	+	0.484857i
$816$	12.1817			0.426443
$817$	−25.4063	−	3.38429i	−0.888854	−	0.118401i
$818$	−28.8070			−1.00721
$819$	−0.712537	+	0.893493i	−0.0248980	+	0.0312212i
$820$	−3.35319	+	8.54380i	−0.117099	+	0.298362i
$821$	−4.17717	−	18.3014i	−0.145784	−	0.638723i	−0.994029	−	0.109118i	$-0.965197\pi$
$821$	−4.17717	−	18.3014i	−0.145784	−	0.638723i	0.848245	−	0.529605i	$-0.177660\pi$
$822$	0.490595	+	6.54654i	0.0171115	+	0.228337i
$823$	−0.782251	−	1.35490i	−0.0272676	−	0.0472288i	0.852070	−	0.523428i	$-0.175347\pi$
$823$	−0.782251	−	1.35490i	−0.0272676	−	0.0472288i	−0.879337	+	0.476200i	$0.842014\pi$
$824$	9.95733	−	17.2466i	0.346880	−	0.600814i
$825$	6.87582	+	3.31122i	0.239385	+	0.115282i
$826$	−11.8670	−	11.0109i	−0.412905	−	0.383120i
$827$	41.5184	+	28.3068i	1.44374	+	0.984322i	0.995924	+	0.0901940i	$0.0287487\pi$
$827$	41.5184	+	28.3068i	1.44374	+	0.984322i	0.447811	+	0.894128i	$0.352204\pi$
$828$	−0.0447022	+	0.195853i	−0.00155351	+	0.00680636i
$829$	−42.9160	−	6.46854i	−1.49053	−	0.224662i	−0.647311	−	0.762226i	$-0.724106\pi$
$829$	−42.9160	−	6.46854i	−1.49053	−	0.224662i	−0.843223	+	0.537565i	$0.819344\pi$
$830$	−1.73189	+	1.18078i	−0.0601147	+	0.0409855i
$831$	4.95740	+	12.6313i	0.171970	+	0.438173i
$832$	−4.21678	−	1.30071i	−0.146191	−	0.0450939i
$833$	−22.8481	+	11.0031i	−0.791641	+	0.381234i
$834$	−0.519367	+	6.93047i	−0.0179842	+	0.239982i
$835$	7.47813	−	1.12715i	0.258791	−	0.0390065i
$836$	12.9272	−	11.9947i	0.447098	−	0.414846i
$837$	30.3488	−	9.36137i	1.04901	−	0.323576i
$838$	4.60776	+	5.77794i	0.159172	+	0.199596i
$839$	−33.5768	−	42.1039i	−1.15920	−	1.45359i	−0.867749	−	0.497003i	$-0.834434\pi$
$839$	−33.5768	−	42.1039i	−1.15920	−	1.45359i	−0.291449	−	0.956586i	$-0.594137\pi$
$840$	3.01468	−	0.929907i	0.104016	−	0.0320848i
$841$	19.4472	−	18.0444i	0.670594	−	0.622221i
$842$	−9.19865	+	1.38647i	−0.317006	+	0.0477810i
$843$	2.02732	−	27.0526i	0.0698245	−	0.931743i
$844$	20.6874	−	9.96251i	0.712089	−	0.342924i
$845$	−6.18552	−	1.90798i	−0.212788	−	0.0656365i
$846$	−0.239278	−	0.609671i	−0.00822655	−	0.0209609i
$847$	−14.4177	+	9.82981i	−0.495398	+	0.337756i
$848$	−4.82903	−	0.727859i	−0.165830	−	0.0249948i
$849$	11.5397	−	50.5587i	0.396042	−	1.73517i
$850$	5.95034	+	4.05687i	0.204095	+	0.139150i
$851$	−11.5891	−	10.7531i	−0.397269	−	0.368612i
$852$	16.3045	+	7.85182i	0.558582	+	0.268999i
$853$	27.2048	−	47.1202i	0.931476	−	1.61336i	0.150676	−	0.988583i	$-0.451855\pi$
$853$	27.2048	−	47.1202i	0.931476	−	1.61336i	0.780800	−	0.624781i	$-0.214812\pi$
$854$	0.389307	+	0.674299i	0.0133218	+	0.0230740i
$855$	−0.0405578	−	0.541206i	−0.00138705	−	0.0185089i
$856$	2.44837	+	10.7270i	0.0836834	+	0.366641i
$857$	−13.6893	+	34.8797i	−0.467617	+	1.19147i	0.481473	+	0.876461i	$0.340102\pi$
$857$	−13.6893	+	34.8797i	−0.467617	+	1.19147i	−0.949089	+	0.315007i	$0.897993\pi$
$858$	−20.9972	+	26.3297i	−0.716833	+	0.898880i
$859$	−9.72947			−0.331965			−0.165983	−	0.986129i	$-0.553080\pi$
$859$	−9.72947			−0.331965			−0.165983	+	0.986129i	$0.553080\pi$
$860$	5.48064	+	3.60036i	0.186888	+	0.122771i
$861$	28.9560			0.986817
$862$	−7.91638	+	9.92683i	−0.269633	+	0.338109i
$863$	−2.46072	+	6.26981i	−0.0837638	+	0.213427i	−0.966619	−	0.256219i	$-0.917523\pi$
$863$	−2.46072	+	6.26981i	−0.0837638	+	0.213427i	0.882855	+	0.469646i	$0.155618\pi$
$864$	1.18144	+	5.17623i	0.0401934	+	0.176099i
$865$	1.01352	+	13.5245i	0.0344608	+	0.459847i
$866$	−0.299170	−	0.518177i	−0.0101662	−	0.0176084i
$867$	29.4868	−	51.0726i	1.00142	−	1.73452i
$868$	10.0520	+	4.84081i	0.341189	+	0.164308i
$869$	18.8909	+	17.5282i	0.640831	+	0.594604i
$870$	2.19685	+	1.49778i	0.0744800	+	0.0507796i
$871$	6.85758	−	30.0450i	0.232360	−	1.01804i
$872$	−0.221869	−	0.0334414i	−0.00751343	−	0.00113247i
$873$	1.76156	−	1.20101i	0.0596196	−	0.0406480i
$874$	−2.06600	−	5.26408i	−0.0698835	−	0.178060i
$875$	1.78226	+	0.549755i	0.0602514	+	0.0185851i
$876$	−16.1171	+	7.76159i	−0.544547	+	0.262240i
$877$	2.10533	−	28.0937i	0.0710920	−	0.948656i	−0.841625	−	0.540063i	$-0.818400\pi$
$877$	2.10533	−	28.0937i	0.0710920	−	0.948656i	0.912717	−	0.408593i	$-0.133981\pi$
$878$	−23.3263	+	3.51587i	−0.787224	+	0.118655i
$879$	9.40118	−	8.72302i	0.317094	−	0.294220i
$880$	−4.31130	+	1.32986i	−0.145334	+	0.0448296i
$881$	−34.6742	−	43.4800i	−1.16820	−	1.46488i	−0.857584	−	0.514344i	$-0.828036\pi$
$881$	−34.6742	−	43.4800i	−1.16820	−	1.46488i	−0.310618	−	0.950535i	$-0.600536\pi$
$882$	−0.304850	−	0.382270i	−0.0102648	−	0.0128717i
$883$	14.8741	−	4.58806i	0.500555	−	0.154401i	−0.0341884	−	0.999415i	$-0.510885\pi$
$883$	14.8741	−	4.58806i	0.500555	−	0.154401i	0.534743	+	0.845015i	$0.320408\pi$
$884$	−23.2964	+	21.6159i	−0.783542	+	0.727021i
$885$	−14.5174	+	2.18815i	−0.487998	+	0.0735538i
$886$	1.49208	−	19.9104i	0.0501273	−	0.668902i
$887$	9.61902	−	4.63228i	0.322975	−	0.155537i	−0.265370	−	0.964147i	$-0.585494\pi$
$887$	9.61902	−	4.63228i	0.322975	−	0.155537i	0.588345	+	0.808610i	$0.299780\pi$
$888$	−17.6621	−	5.44805i	−0.592703	−	0.182825i
$889$	−11.8849	−	30.2821i	−0.398606	−	1.01563i
$890$	−0.522215	+	0.356040i	−0.0175047	+	0.0119345i
$891$	38.2077	+	5.75889i	1.28001	+	0.192930i
$892$	1.71248	−	7.50284i	0.0573379	−	0.251214i
$893$	15.2330	+	10.3857i	0.509752	+	0.347543i
$894$	5.28740	+	4.90599i	0.176837	+	0.164081i
$895$	−9.10071	−	4.38267i	−0.304203	−	0.146497i
$896$	−0.932562	+	1.61524i	−0.0311547	+	0.0539615i
$897$	5.39962	+	9.35241i	0.180288	+	0.312268i
$898$	−0.286440	−	3.82228i	−0.00955863	−	0.127551i
$899$	2.09234	+	9.16712i	0.0697833	+	0.305741i
$900$	−0.0507284	+	0.129254i	−0.00169095	+	0.00430846i
$901$	−21.9282	+	27.4971i	−0.730535	+	0.916062i
$902$	−41.4099			−1.37880
$903$	4.25643	−	20.2451i	0.141645	−	0.673714i
$904$	8.31339			0.276499
$905$	11.1753	−	14.0134i	0.371479	−	0.465820i
$906$	−3.06907	+	7.81986i	−0.101963	+	0.259797i
$907$	−1.38355	−	6.06172i	−0.0459400	−	0.201276i	0.946750	−	0.321970i	$-0.104345\pi$
$907$	−1.38355	−	6.06172i	−0.0459400	−	0.201276i	−0.992690	+	0.120694i	$0.961488\pi$
$908$	0.424282	+	5.66165i	0.0140803	+	0.187888i
$909$	1.30828	+	2.26600i	0.0433928	+	0.0751585i
$910$	−4.11524	+	7.12781i	−0.136419	+	0.236284i
$911$	36.4926	+	17.5739i	1.20906	+	0.582250i	0.926244	−	0.376925i	$-0.123019\pi$
$911$	36.4926	+	17.5739i	1.20906	+	0.582250i	0.282812	+	0.959176i	$0.408733\pi$
$912$	−4.84654	−	4.49693i	−0.160485	−	0.148908i
$913$	−7.81384	−	5.32739i	−0.258600	−	0.176311i
$914$	5.48657	−	24.0382i	0.181480	−	0.795114i
$915$	0.698242	+	0.105243i	0.0230832	+	0.00347923i
$916$	−21.8098	+	14.8697i	−0.720617	+	0.491309i
$917$	−4.75201	−	12.1079i	−0.156925	−	0.399839i
$918$	36.5377	+	11.2704i	1.20592	+	0.371978i
$919$	−18.5366	+	8.92677i	−0.611467	+	0.294467i	−0.713872	−	0.700276i	$-0.753060\pi$
$919$	−18.5366	+	8.92677i	−0.611467	+	0.294467i	0.102406	+	0.994743i	$0.467346\pi$
$920$	−0.108119	+	1.44274i	−0.00356457	+	0.0475658i
$921$	17.3744	−	2.61877i	0.572505	−	0.0862913i
$922$	14.5921	−	13.5395i	0.480566	−	0.445900i
$923$	−45.1137	+	13.9157i	−1.48493	+	0.458041i
$924$	8.87466	+	11.1285i	0.291955	+	0.366100i
$925$	−6.81301	−	8.54324i	−0.224010	−	0.280900i
$926$	2.58359	−	0.796931i	0.0849020	−	0.0261888i
$927$	2.02703	−	1.88081i	0.0665764	−	0.0617738i
$928$	−1.55434	+	0.234279i	−0.0510237	+	0.00769058i
$929$	0.279215	−	3.72586i	0.00916074	−	0.122242i	−0.990749	−	0.135710i	$-0.956668\pi$
$929$	0.279215	−	3.72586i	0.00916074	−	0.122242i	0.999909	+	0.0134688i	$0.00428739\pi$
$930$	9.11626	−	4.39016i	0.298934	−	0.143959i
$931$	13.1521	+	4.05688i	0.431043	+	0.132959i
$932$	−9.92421	−	25.2865i	−0.325078	−	0.828286i
$933$	24.2320	−	16.5211i	0.793322	−	0.540878i
$934$	26.3658	+	3.97400i	0.862714	+	0.130033i
$935$	−7.23022	+	31.6777i	−0.236453	+	1.03597i
$936$	−0.506262	−	0.345164i	−0.0165477	−	0.0112820i
$937$	31.9665	+	29.6606i	1.04430	+	0.968970i	0.999549	−	0.0300281i	$-0.00955968\pi$
$937$	31.9665	+	29.6606i	1.04430	+	0.968970i	0.0447523	+	0.998998i	$0.485750\pi$
$938$	−11.7355	−	5.65150i	−0.383176	−	0.184528i
$939$	17.9974	−	31.1725i	0.587324	−	1.01728i
$940$	−2.35843	−	4.08491i	−0.0769234	−	0.133235i
$941$	1.46803	+	19.5895i	0.0478565	+	0.638601i	0.968631	+	0.248505i	$0.0799392\pi$
$941$	1.46803	+	19.5895i	0.0478565	+	0.638601i	−0.920774	+	0.390096i	$0.872442\pi$
$942$	−7.55172	−	33.0863i	−0.246048	−	1.07801i
$943$	−4.85136	+	12.3611i	−0.157982	+	0.402532i
$944$	5.41161	−	6.78595i	0.176133	−	0.220864i
$945$	9.90259			0.322131
$946$	−6.08712	+	28.9525i	−0.197909	+	0.941327i
$947$	0.981652			0.0318994			0.0159497	−	0.999873i	$-0.494923\pi$
$947$	0.981652			0.0318994			0.0159497	+	0.999873i	$0.494923\pi$
$948$	6.02384	−	7.55366i	0.195645	−	0.245332i
$949$	17.0500	−	43.4426i	0.553465	−	1.41021i
$950$	−0.869756	−	3.81065i	−0.0282186	−	0.123634i
$951$	3.46180	+	46.1945i	0.112257	+	1.49796i
$952$	6.71605	+	11.6325i	0.217668	+	0.377013i
$953$	10.5655	−	18.3000i	0.342250	−	0.592794i	−0.642600	−	0.766202i	$-0.722144\pi$
$953$	10.5655	−	18.3000i	0.342250	−	0.592794i	0.984850	+	0.173407i	$0.0554778\pi$
$954$	−0.610943	−	0.294214i	−0.0197800	−	0.00952554i
$955$	−4.17985	−	3.87833i	−0.135257	−	0.125500i
$956$	0.348646	+	0.237703i	0.0112760	+	0.00768786i
$957$	−2.66937	+	11.6953i	−0.0862885	+	0.378055i
$958$	27.5814	+	4.15723i	0.891115	+	0.134314i
$959$	−5.98096	+	4.07775i	−0.193135	+	0.131677i
$960$	0.617972	+	1.57457i	0.0199450	+	0.0508189i
$961$	4.57025	+	1.40974i	0.147428	+	0.0454754i
$962$	43.4447	−	20.9219i	1.40071	−	0.674548i
$963$	−0.114170	+	1.52350i	−0.00367909	+	0.0490940i
$964$	−2.37413	+	0.357843i	−0.0764657	+	0.0115253i
$965$	10.2792	−	9.53770i	0.330899	−	0.307029i
$966$	4.36161	−	1.34538i	0.140332	−	0.0432868i
$967$	10.1252	+	12.6966i	0.325604	+	0.408295i	0.917510	−	0.397712i	$-0.130196\pi$
$967$	10.1252	+	12.6966i	0.325604	+	0.408295i	−0.591906	+	0.806007i	$0.701624\pi$
$968$	−5.83326	−	7.31468i	−0.187488	−	0.235103i
$969$	−45.4985	+	14.0344i	−1.46162	+	0.450850i
$970$	11.2557	−	10.4438i	0.361399	−	0.335329i
$971$	−28.4398	+	4.28661i	−0.912677	+	0.137564i	−0.588560	−	0.808453i	$-0.700305\pi$
$971$	−28.4398	+	4.28661i	−0.912677	+	0.137564i	−0.324116	+	0.946017i	$0.605067\pi$
$972$	−0.107747	+	1.43778i	−0.00345599	+	0.0461170i
$973$	−6.90440	+	3.32498i	−0.221345	+	0.106594i
$974$	6.86762	+	2.11838i	0.220053	+	0.0678773i
$975$	2.72701	+	6.94830i	0.0873341	+	0.222524i
$976$	−0.344921	+	0.235163i	−0.0110407	+	0.00752739i
$977$	53.9720	+	8.13497i	1.72672	+	0.260261i	0.936020	−	0.351947i	$-0.114480\pi$
$977$	53.9720	+	8.13497i	1.72672	+	0.260261i	0.790697	+	0.612208i	$0.209719\pi$
$978$	−6.66377	+	29.1959i	−0.213084	+	0.933582i
$979$	−2.35610	−	1.60636i	−0.0753013	−	0.0513395i
$980$	−2.58130	−	2.39510i	−0.0824568	−	0.0765087i
$981$	−0.0280696	−	0.0135176i	−0.000896195	−	0.000431585i
$982$	−3.14215	+	5.44235i	−0.100270	+	0.173673i
$983$	−6.35140	−	11.0009i	−0.202578	−	0.350876i	0.746780	−	0.665071i	$-0.231599\pi$
$983$	−6.35140	−	11.0009i	−0.202578	−	0.350876i	−0.949358	+	0.314195i	$0.898265\pi$
$984$	1.16018	+	15.4815i	0.0369852	+	0.493534i
$985$	0.614058	+	2.69036i	0.0195655	+	0.0857222i
$986$	−4.13579	+	10.5378i	−0.131710	+	0.335593i
$987$	−9.27811	+	11.6344i	−0.295325	+	0.370326i
$988$	17.2482			0.548739
$989$	7.92933	+	5.20895i	0.252138	+	0.165635i
$990$	−0.626465			−0.0199104
$991$	7.10311	−	8.90701i	0.225638	−	0.282941i	−0.656107	−	0.754668i	$-0.727798\pi$
$991$	7.10311	−	8.90701i	0.225638	−	0.282941i	0.881744	+	0.471727i	$0.156369\pi$
$992$	−2.18542	+	5.56836i	−0.0693872	+	0.176796i
$993$	3.69259	+	16.1783i	0.117181	+	0.513403i
$994$	1.49118	+	19.8984i	0.0472973	+	0.631139i
$995$	−1.98188	−	3.43272i	−0.0628299	−	0.108825i
$996$	−1.77278	+	3.07054i	−0.0561727	+	0.0972939i
$997$	−7.87778	−	3.79374i	−0.249492	−	0.120149i	0.304959	−	0.952366i	$-0.401357\pi$
$997$	−7.87778	−	3.79374i	−0.249492	−	0.120149i	−0.554451	+	0.832217i	$0.687072\pi$
$998$	−7.01627	−	6.51015i	−0.222096	−	0.206075i
$999$	−47.9354	−	32.6818i	−1.51661	−	1.03401i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	430.2.q.d.101.2	✓	60
43.23	even	21	inner	430.2.q.d.281.2	yes	60

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
430.2.q.d.101.2	✓	60	1.1	even	1	trivial
430.2.q.d.281.2	yes	60	43.23	even	21	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:	\( N \)	\(=\)	\( 430 = 2 \cdot 5 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	430.q (of order \(21\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.623490 + 0.781831i) q^{2} +(-0.617972 + 1.57457i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(-0.0747301 - 0.997204i) q^{5} +(-0.845746 - 1.46488i) q^{6} +(0.932562 - 1.61524i) q^{7} +(0.900969 + 0.433884i) q^{8} +(0.101786 + 0.0944434i) q^{9} +O(q^{10})\)	\(q+(-0.623490 + 0.781831i) q^{2} +(-0.617972 + 1.57457i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(-0.0747301 - 0.997204i) q^{5} +(-0.845746 - 1.46488i) q^{6} +(0.932562 - 1.61524i) q^{7} +(0.900969 + 0.433884i) q^{8} +(0.101786 + 0.0944434i) q^{9} +(0.826239 + 0.563320i) q^{10} +(-1.00396 + 4.39862i) q^{11} +(1.67260 + 0.252104i) q^{12} +(-3.64605 + 2.48584i) q^{13} +(0.681406 + 1.73619i) q^{14} +(1.61634 + 0.498576i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(-0.538185 + 7.18158i) q^{17} +(-0.137301 + 0.0206948i) q^{18} +(2.86524 - 2.65856i) q^{19} +(-0.955573 + 0.294755i) q^{20} +(1.96701 + 2.46656i) q^{21} +(-2.81303 - 3.52742i) q^{22} +(-1.38251 + 0.426448i) q^{23} +(-1.23995 + 1.15051i) q^{24} +(-0.988831 + 0.149042i) q^{25} +(0.329771 - 4.40049i) q^{26} +(-4.78356 + 2.30364i) q^{27} +(-1.78226 - 0.549755i) q^{28} +(-0.574278 - 1.46324i) q^{29} +(-1.39758 + 0.952852i) q^{30} +(-5.91505 - 0.891551i) q^{31} +(0.222521 - 0.974928i) q^{32} +(-6.30551 - 4.29902i) q^{33} +(-5.27923 - 4.89841i) q^{34} +(-1.68042 - 0.809247i) q^{35} +(0.0694261 - 0.120249i) q^{36} +(5.46361 + 9.46325i) q^{37} +(0.292094 + 3.89772i) q^{38} +(-1.66096 - 7.27713i) q^{39} +(0.365341 - 0.930874i) q^{40} +(5.72255 - 7.17585i) q^{41} -3.15484 q^{42} +(-4.17593 - 5.05585i) q^{43} +4.51174 q^{44} +(0.0865729 - 0.108559i) q^{45} +(0.528571 - 1.34678i) q^{46} +(1.04960 + 4.59859i) q^{47} +(-0.126405 - 1.68676i) q^{48} +(1.76066 + 3.04955i) q^{49} +(0.500000 - 0.866025i) q^{50} +(-10.9753 - 5.28542i) q^{51} +(3.23484 + 3.00149i) q^{52} +(4.03500 + 2.75102i) q^{53} +(1.18144 - 5.17623i) q^{54} +(4.46135 + 0.672440i) q^{55} +(1.54104 - 1.05066i) q^{56} +(2.41543 + 6.15443i) q^{57} +(1.50206 + 0.463324i) q^{58} +(-7.82001 + 3.76592i) q^{59} +(0.126405 - 1.68676i) q^{60} +(0.412797 - 0.0622191i) q^{61} +(4.38502 - 4.06870i) q^{62} +(0.247471 - 0.0763346i) q^{63} +(0.623490 + 0.781831i) q^{64} +(2.75136 + 3.45009i) q^{65} +(7.29253 - 2.24945i) q^{66} +(-5.11938 + 4.75009i) q^{67} +(7.12128 - 1.07336i) q^{68} +(0.182882 - 2.44039i) q^{69} +(1.68042 - 0.809247i) q^{70} +(10.2233 + 3.15347i) q^{71} +(0.0507284 + 0.129254i) q^{72} +(-8.73802 + 5.95748i) q^{73} +(-10.8052 - 1.62862i) q^{74} +(0.376393 - 1.64908i) q^{75} +(-3.22948 - 2.20182i) q^{76} +(6.16860 + 5.72363i) q^{77} +(6.72508 + 3.23863i) q^{78} +(2.85591 - 4.94658i) q^{79} +(0.500000 + 0.866025i) q^{80} +(-0.640001 - 8.54022i) q^{81} +(2.04235 + 8.94814i) q^{82} +(-0.765796 + 1.95122i) q^{83} +(1.96701 - 2.46656i) q^{84} +7.20172 q^{85} +(6.55647 - 0.112602i) q^{86} +2.65885 q^{87} +(-2.81303 + 3.52742i) q^{88} +(-0.230910 + 0.588348i) q^{89} +(0.0308975 + 0.135371i) q^{90} +(0.615065 + 8.20747i) q^{91} +(0.723394 + 1.25296i) q^{92} +(5.05914 - 8.76269i) q^{93} +(-4.24974 - 2.04656i) q^{94} +(-2.86524 - 2.65856i) q^{95} +(1.39758 + 0.952852i) q^{96} +(3.41672 - 14.9696i) q^{97} +(-3.48198 - 0.524824i) q^{98} +(-0.517610 + 0.352900i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 60 q + 10 q^{2} - q^{3} - 10 q^{4} - 5 q^{5} - 6 q^{6} + q^{7} + 10 q^{8} + 8 q^{9}+O(q^{10}) \) 60 * q + 10 * q^2 - q^3 - 10 * q^4 - 5 * q^5 - 6 * q^6 + q^7 + 10 * q^8 + 8 * q^9	\( 60 q + 10 q^{2} - q^{3} - 10 q^{4} - 5 q^{5} - 6 q^{6} + q^{7} + 10 q^{8} + 8 q^{9} + 5 q^{10} + 3 q^{11} - q^{12} + 13 q^{13} - 15 q^{14} + q^{15} - 10 q^{16} + 38 q^{17} + 6 q^{18} + 17 q^{19} - 5 q^{20} + 4 q^{21} + 11 q^{22} - 8 q^{23} + q^{24} + 5 q^{25} + 29 q^{26} - 16 q^{27} - 6 q^{28} - 41 q^{29} - q^{30} + 15 q^{31} + 10 q^{32} + 63 q^{33} - 10 q^{34} + 2 q^{35} - 48 q^{36} + 7 q^{37} + 25 q^{38} - 64 q^{39} + 5 q^{40} - 22 q^{41} - 60 q^{42} + 6 q^{43} - 4 q^{44} + 30 q^{45} - 20 q^{46} - 13 q^{47} - q^{48} - 93 q^{49} + 30 q^{50} + 18 q^{51} - 15 q^{52} + 71 q^{53} - 5 q^{54} - 16 q^{55} - q^{56} - 94 q^{57} - 22 q^{58} + 20 q^{59} + q^{60} + 91 q^{61} + 69 q^{62} - 50 q^{63} - 10 q^{64} + 5 q^{65} + 14 q^{66} - 26 q^{67} - 18 q^{68} - 94 q^{69} - 2 q^{70} + 20 q^{71} - 36 q^{72} - 56 q^{73} - 7 q^{74} + 2 q^{75} + 38 q^{76} + 41 q^{77} - 13 q^{78} - 46 q^{79} + 30 q^{80} + 39 q^{81} + 8 q^{82} - 115 q^{83} + 4 q^{84} + 6 q^{85} + 29 q^{86} + 20 q^{87} + 11 q^{88} + 30 q^{89} - 16 q^{90} - 53 q^{91} - 8 q^{92} + 16 q^{93} + 41 q^{94} - 17 q^{95} + q^{96} + 113 q^{97} + 2 q^{98} + 139 q^{99}+O(q^{100}) \) 60 * q + 10 * q^2 - q^3 - 10 * q^4 - 5 * q^5 - 6 * q^6 + q^7 + 10 * q^8 + 8 * q^9 + 5 * q^10 + 3 * q^11 - q^12 + 13 * q^13 - 15 * q^14 + q^15 - 10 * q^16 + 38 * q^17 + 6 * q^18 + 17 * q^19 - 5 * q^20 + 4 * q^21 + 11 * q^22 - 8 * q^23 + q^24 + 5 * q^25 + 29 * q^26 - 16 * q^27 - 6 * q^28 - 41 * q^29 - q^30 + 15 * q^31 + 10 * q^32 + 63 * q^33 - 10 * q^34 + 2 * q^35 - 48 * q^36 + 7 * q^37 + 25 * q^38 - 64 * q^39 + 5 * q^40 - 22 * q^41 - 60 * q^42 + 6 * q^43 - 4 * q^44 + 30 * q^45 - 20 * q^46 - 13 * q^47 - q^48 - 93 * q^49 + 30 * q^50 + 18 * q^51 - 15 * q^52 + 71 * q^53 - 5 * q^54 - 16 * q^55 - q^56 - 94 * q^57 - 22 * q^58 + 20 * q^59 + q^60 + 91 * q^61 + 69 * q^62 - 50 * q^63 - 10 * q^64 + 5 * q^65 + 14 * q^66 - 26 * q^67 - 18 * q^68 - 94 * q^69 - 2 * q^70 + 20 * q^71 - 36 * q^72 - 56 * q^73 - 7 * q^74 + 2 * q^75 + 38 * q^76 + 41 * q^77 - 13 * q^78 - 46 * q^79 + 30 * q^80 + 39 * q^81 + 8 * q^82 - 115 * q^83 + 4 * q^84 + 6 * q^85 + 29 * q^86 + 20 * q^87 + 11 * q^88 + 30 * q^89 - 16 * q^90 - 53 * q^91 - 8 * q^92 + 16 * q^93 + 41 * q^94 - 17 * q^95 + q^96 + 113 * q^97 + 2 * q^98 + 139 * q^99

Introduction

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