LMFDB - Embedded newform 158.2.e.a.87.3

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [158,2,Mod(21,158)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("158.21"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(158, base_ring=CyclotomicField(26)) chi = DirichletCharacter(H, H._module([18])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 158 = 2 \cdot 79 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	158.e (of order $13$, degree $12$, minimal)

Newform invariants

comment:select newform

sage:traces = [48,-4] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(2)] == traces)

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

Self dual:	no
Analytic conductor:	$1.26163635194$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$4$ over $\Q(\zeta_{13})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{13}]$

Embedding invariants

Embedding label			87.3
Character	$\chi$	$=$	158.87
Dual form			158.2.e.a.89.3

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.354605 + 0.935016i) q^{2} +(0.295387 + 0.155031i) q^{3} +(-0.748511 - 0.663123i) q^{4} +(-0.452351 + 3.72544i) q^{5} +(-0.249702 + 0.221217i) q^{6} +(-0.130033 - 0.0682466i) q^{7} +(0.885456 - 0.464723i) q^{8} +(-1.64098 - 2.37736i) q^{9} +(-3.32295 - 1.74402i) q^{10} +(0.699363 + 5.75977i) q^{11} +(-0.118296 - 0.311920i) q^{12} +(0.519880 + 0.460573i) q^{13} +(0.109922 - 0.0973824i) q^{14} +(-0.711178 + 1.03032i) q^{15} +(0.120537 + 0.992709i) q^{16} +(-0.651714 - 0.577368i) q^{17} +(2.80477 - 0.691314i) q^{18} +(3.57484 - 0.881120i) q^{19} +(2.80902 - 2.48857i) q^{20} +(-0.0278297 - 0.0403183i) q^{21} +(-5.63348 - 1.38853i) q^{22} +2.88541 q^{23} +0.333599 q^{24} +(-8.81961 - 2.17384i) q^{25} +(-0.614996 + 0.322775i) q^{26} +(-0.236790 - 1.95014i) q^{27} +(0.0520752 + 0.137311i) q^{28} +(2.94548 - 4.26727i) q^{29} +(-0.711178 - 1.03032i) q^{30} +(1.13530 - 2.99354i) q^{31} +(-0.970942 - 0.239316i) q^{32} +(-0.686361 + 1.80978i) q^{33} +(0.770949 - 0.404625i) q^{34} +(0.313069 - 0.453559i) q^{35} +(-0.348196 + 2.86765i) q^{36} +(10.7840 - 2.65801i) q^{37} +(-0.443796 + 3.65499i) q^{38} +(0.0821626 + 0.216645i) q^{39} +(1.33076 + 3.50894i) q^{40} +(0.563205 - 4.63841i) q^{41} +(0.0475668 - 0.0117242i) q^{42} +(-0.941360 + 7.75279i) q^{43} +(3.29596 - 4.77502i) q^{44} +(9.59903 - 5.03796i) q^{45} +(-1.02318 + 2.69791i) q^{46} +(6.25082 + 1.54069i) q^{47} +(-0.118296 + 0.311920i) q^{48} +(-3.96420 - 5.74314i) q^{49} +(5.16005 - 7.47562i) q^{50} +(-0.102998 - 0.271583i) q^{51} +(-0.0837190 - 0.689488i) q^{52} +(3.95811 - 2.07738i) q^{53} +(1.90738 + 0.470128i) q^{54} -21.7741 q^{55} -0.146854 q^{56} +(1.19256 + 0.293940i) q^{57} +(2.94548 + 4.26727i) q^{58} +(-6.44271 + 5.70775i) q^{59} +(1.21555 - 0.299607i) q^{60} +(-13.2189 + 3.25815i) q^{61} +(2.39643 + 2.12305i) q^{62} +(0.0511340 + 0.421127i) q^{63} +(0.568065 - 0.822984i) q^{64} +(-1.95101 + 1.72844i) q^{65} +(-1.44879 - 1.28352i) q^{66} +(0.553889 + 1.46049i) q^{67} +(0.104949 + 0.864332i) q^{68} +(0.852314 + 0.447329i) q^{69} +(0.313069 + 0.453559i) q^{70} +(-5.34301 + 2.80423i) q^{71} +(-2.55783 - 1.34245i) q^{72} +(5.33832 - 4.72934i) q^{73} +(-1.33876 + 11.0257i) q^{74} +(-2.26818 - 2.00944i) q^{75} +(-3.26010 - 1.71103i) q^{76} +(0.302144 - 0.796689i) q^{77} -0.231702 q^{78} +(5.19298 + 7.21338i) q^{79} -3.75281 q^{80} +(-2.84067 + 7.49022i) q^{81} +(4.13727 + 2.17141i) q^{82} +(-11.9455 - 10.5827i) q^{83} +(-0.00590514 + 0.0486332i) q^{84} +(2.44576 - 2.16675i) q^{85} +(-6.91518 - 3.62937i) q^{86} +(1.53162 - 0.803854i) q^{87} +(3.29596 + 4.77502i) q^{88} +(5.16431 + 2.71044i) q^{89} +(1.30671 + 10.7617i) q^{90} +(-0.0361690 - 0.0953697i) q^{91} +(-2.15976 - 1.91338i) q^{92} +(0.799445 - 0.708247i) q^{93} +(-3.65714 + 5.29828i) q^{94} +(1.66548 + 13.7165i) q^{95} +(-0.249702 - 0.221217i) q^{96} +(-14.9511 + 3.68512i) q^{97} +(6.77565 - 1.67005i) q^{98} +(12.5454 - 11.1143i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q - 4 q^{2} - 2 q^{3} - 4 q^{4} + 11 q^{5} - 2 q^{6} - 8 q^{7} - 4 q^{8} - 18 q^{9} - 2 q^{10} - 8 q^{11} - 2 q^{12} + 16 q^{13} + 5 q^{14} - 2 q^{15} - 4 q^{16} + 6 q^{17} - 18 q^{18} + 6 q^{19} - 2 q^{20}+ \cdots - 58 q^{99}+O(q^{100}) $ 48 * q - 4 * q^2 - 2 * q^3 - 4 * q^4 + 11 * q^5 - 2 * q^6 - 8 * q^7 - 4 * q^8 - 18 * q^9 - 2 * q^10 - 8 * q^11 - 2 * q^12 + 16 * q^13 + 5 * q^14 - 2 * q^15 - 4 * q^16 + 6 * q^17 - 18 * q^18 + 6 * q^19 - 2 * q^20 - 12 * q^21 + 5 * q^22 - 16 * q^23 + 24 * q^24 - 17 * q^25 + 3 * q^26 + 7 * q^27 - 8 * q^28 - 34 * q^29 - 2 * q^30 - 19 * q^31 - 4 * q^32 + 8 * q^33 - 20 * q^34 + 122 * q^35 - 18 * q^36 - 4 * q^37 - 20 * q^38 - 50 * q^39 - 2 * q^40 - 36 * q^41 + 14 * q^42 - 24 * q^43 + 18 * q^44 - 4 * q^45 + 10 * q^46 - 22 * q^47 - 2 * q^48 - 28 * q^49 - 4 * q^50 + 78 * q^51 - 10 * q^52 - 12 * q^53 + 7 * q^54 - 88 * q^55 + 18 * q^56 - 28 * q^57 - 34 * q^58 - 52 * q^59 + 11 * q^60 - 47 * q^61 + 20 * q^62 + 11 * q^63 - 4 * q^64 - 16 * q^65 + 8 * q^66 + 67 * q^67 - 7 * q^68 - 4 * q^69 + 122 * q^70 - 12 * q^71 - 18 * q^72 + 101 * q^73 - 4 * q^74 - 62 * q^75 + 32 * q^76 + 113 * q^77 - 50 * q^78 - 2 * q^80 + 36 * q^81 + 29 * q^82 + 91 * q^83 + 53 * q^84 - q^85 - 24 * q^86 + 210 * q^87 + 18 * q^88 + 4 * q^89 + 126 * q^90 - 33 * q^91 - 3 * q^92 - 3 * q^93 + 17 * q^94 - 42 * q^95 - 2 * q^96 - 32 * q^97 + 24 * q^98 - 58 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/158\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{2}{13}\right)$

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 $

$2$	−0.354605	+	0.935016i	−0.250744	+	0.661156i
$2$	−0.354605	+	0.935016i	−0.250744	+	0.661156i
$3$	0.295387	+	0.155031i	0.170542	+	0.0895072i	0.547834	−	0.836587i	$-0.315453\pi$
$3$	0.295387	+	0.155031i	0.170542	+	0.0895072i	−0.377292	+	0.926094i	$0.623145\pi$
$4$	−0.748511	−	0.663123i	−0.374255	−	0.331561i
$5$	−0.452351	+	3.72544i	−0.202297	+	1.66607i	0.438781	+	0.898594i	$0.355410\pi$
$5$	−0.452351	+	3.72544i	−0.202297	+	1.66607i	−0.641078	+	0.767475i	$0.721513\pi$
$6$	−0.249702	+	0.221217i	−0.101940	+	0.0903114i
$7$	−0.130033	−	0.0682466i	−0.0491478	−	0.0257948i	0.439970	−	0.898012i	$-0.354989\pi$
$7$	−0.130033	−	0.0682466i	−0.0491478	−	0.0257948i	−0.489118	+	0.872218i	$0.662681\pi$
$8$	0.885456	−	0.464723i	0.313056	−	0.164304i
$9$	−1.64098	−	2.37736i	−0.546992	−	0.792454i
$10$	−3.32295	−	1.74402i	−1.05081	−	0.551506i
$11$	0.699363	+	5.75977i	0.210866	+	1.73664i	0.586571	+	0.809898i	$0.300477\pi$
$11$	0.699363	+	5.75977i	0.210866	+	1.73664i	−0.375705	+	0.926739i	$0.622600\pi$
$12$	−0.118296	−	0.311920i	−0.0341490	−	0.0900436i
$13$	0.519880	+	0.460573i	0.144189	+	0.127740i	0.732134	−	0.681161i	$-0.238524\pi$
$13$	0.519880	+	0.460573i	0.144189	+	0.127740i	−0.587945	+	0.808901i	$0.700063\pi$
$14$	0.109922	−	0.0973824i	0.0293779	−	0.0260265i
$15$	−0.711178	+	1.03032i	−0.183625	+	0.266027i
$16$	0.120537	+	0.992709i	0.0301342	+	0.248177i
$17$	−0.651714	−	0.577368i	−0.158064	−	0.140032i	0.580384	−	0.814343i	$-0.302902\pi$
$17$	−0.651714	−	0.577368i	−0.158064	−	0.140032i	−0.738448	+	0.674311i	$0.764441\pi$
$18$	2.80477	−	0.691314i	0.661091	−	0.162944i
$19$	3.57484	−	0.881120i	0.820125	−	0.202143i	0.193137	−	0.981172i	$-0.438134\pi$
$19$	3.57484	−	0.881120i	0.820125	−	0.202143i	0.626988	+	0.779029i	$0.284288\pi$
$20$	2.80902	−	2.48857i	0.628115	−	0.556461i
$21$	−0.0278297	−	0.0403183i	−0.00607294	−	0.00879817i
$22$	−5.63348	−	1.38853i	−1.20106	−	0.296035i
$23$	2.88541			0.601650			0.300825	−	0.953679i	$-0.402738\pi$
$23$	2.88541			0.601650			0.300825	+	0.953679i	$0.402738\pi$
$24$	0.333599			0.0680955
$25$	−8.81961	−	2.17384i	−1.76392	−	0.434768i
$26$	−0.614996	+	0.322775i	−0.120611	+	0.0633013i
$27$	−0.236790	−	1.95014i	−0.0455703	−	0.375305i
$28$	0.0520752	+	0.137311i	0.00984129	+	0.0259494i
$29$	2.94548	−	4.26727i	0.546962	−	0.792412i	−0.447853	−	0.894107i	$-0.647811\pi$
$29$	2.94548	−	4.26727i	0.546962	−	0.792412i	0.994816	+	0.101695i	$0.0324267\pi$
$30$	−0.711178	−	1.03032i	−0.129843	−	0.188110i
$31$	1.13530	−	2.99354i	0.203906	−	0.537656i	−0.793584	−	0.608461i	$-0.791787\pi$
$31$	1.13530	−	2.99354i	0.203906	−	0.537656i	0.997490	+	0.0708043i	$0.0225566\pi$
$32$	−0.970942	−	0.239316i	−0.171640	−	0.0423054i
$33$	−0.686361	+	1.80978i	−0.119480	+	0.315043i
$34$	0.770949	−	0.404625i	0.132217	−	0.0693927i
$35$	0.313069	−	0.453559i	0.0529184	−	0.0766655i
$36$	−0.348196	+	2.86765i	−0.0580326	+	0.477942i
$37$	10.7840	−	2.65801i	1.77287	−	0.436973i	0.788785	−	0.614669i	$-0.210710\pi$
$37$	10.7840	−	2.65801i	1.77287	−	0.436973i	0.984086	+	0.177695i	$0.0568642\pi$
$38$	−0.443796	+	3.65499i	−0.0719932	+	0.592917i
$39$	0.0821626	+	0.216645i	0.0131565	+	0.0346909i
$40$	1.33076	+	3.50894i	0.210412	+	0.554811i
$41$	0.563205	−	4.63841i	0.0879578	−	0.724398i	−0.880295	−	0.474426i	$-0.842656\pi$
$41$	0.563205	−	4.63841i	0.0879578	−	0.724398i	0.968253	−	0.249972i	$-0.0804213\pi$
$42$	0.0475668	−	0.0117242i	0.00733972	−	0.00180908i
$43$	−0.941360	+	7.75279i	−0.143556	+	1.18229i	0.725730	+	0.687980i	$0.241502\pi$
$43$	−0.941360	+	7.75279i	−0.143556	+	1.18229i	−0.869286	+	0.494310i	$0.835421\pi$
$44$	3.29596	−	4.77502i	0.496884	−	0.719861i
$45$	9.59903	−	5.03796i	1.43094	−	0.751015i
$46$	−1.02318	+	2.69791i	−0.150860	+	0.397785i
$47$	6.25082	+	1.54069i	0.911776	+	0.224733i	0.667184	−	0.744893i	$-0.267500\pi$
$47$	6.25082	+	1.54069i	0.911776	+	0.224733i	0.244592	+	0.969626i	$0.421346\pi$
$48$	−0.118296	+	0.311920i	−0.0170745	+	0.0450218i
$49$	−3.96420	−	5.74314i	−0.566315	−	0.820448i
$50$	5.16005	−	7.47562i	0.729741	−	1.05721i
$51$	−0.102998	−	0.271583i	−0.0144226	−	0.0380292i
$52$	−0.0837190	−	0.689488i	−0.0116097	−	0.0956148i
$53$	3.95811	−	2.07738i	0.543688	−	0.285350i	−0.170436	−	0.985369i	$-0.554518\pi$
$53$	3.95811	−	2.07738i	0.543688	−	0.285350i	0.714124	+	0.700019i	$0.246825\pi$
$54$	1.90738	+	0.470128i	0.259562	+	0.0639763i
$55$	−21.7741			−2.93602
$56$	−0.146854			−0.0196242
$57$	1.19256	+	0.293940i	0.157959	+	0.0389334i
$58$	2.94548	+	4.26727i	0.386761	+	0.560320i
$59$	−6.44271	+	5.70775i	−0.838770	+	0.743085i	−0.968646	−	0.248445i	$-0.920080\pi$
$59$	−6.44271	+	5.70775i	−0.838770	+	0.743085i	0.129876	+	0.991530i	$0.458542\pi$
$60$	1.21555	−	0.299607i	0.156927	−	0.0386791i
$61$	−13.2189	+	3.25815i	−1.69250	+	0.417164i	−0.963577	−	0.267431i	$-0.913825\pi$
$61$	−13.2189	+	3.25815i	−1.69250	+	0.417164i	−0.728924	+	0.684595i	$0.759979\pi$
$62$	2.39643	+	2.12305i	0.304347	+	0.269628i
$63$	0.0511340	+	0.421127i	0.00644228	+	0.0530570i
$64$	0.568065	−	0.822984i	0.0710081	−	0.102873i
$65$	−1.95101	+	1.72844i	−0.241993	+	0.214387i
$66$	−1.44879	−	1.28352i	−0.178334	−	0.157990i
$67$	0.553889	+	1.46049i	0.0676683	+	0.178427i	0.964585	−	0.263774i	$-0.0849672\pi$
$67$	0.553889	+	1.46049i	0.0676683	+	0.178427i	−0.896916	+	0.442200i	$0.854198\pi$
$68$	0.104949	+	0.864332i	0.0127269	+	0.104816i
$69$	0.852314	+	0.447329i	0.102607	+	0.0538520i
$70$	0.313069	+	0.453559i	0.0374189	+	0.0542107i
$71$	−5.34301	+	2.80423i	−0.634099	+	0.332801i	−0.750960	−	0.660347i	$-0.770409\pi$
$71$	−5.34301	+	2.80423i	−0.634099	+	0.332801i	0.116861	+	0.993148i	$0.462717\pi$
$72$	−2.55783	−	1.34245i	−0.301443	−	0.158209i
$73$	5.33832	−	4.72934i	0.624804	−	0.553528i	−0.290204	−	0.956965i	$-0.593723\pi$
$73$	5.33832	−	4.72934i	0.624804	−	0.553528i	0.915007	+	0.403437i	$0.132185\pi$
$74$	−1.33876	+	11.0257i	−0.155628	+	1.28171i
$75$	−2.26818	−	2.00944i	−0.261907	−	0.232030i
$76$	−3.26010	−	1.71103i	−0.373959	−	0.196269i
$77$	0.302144	−	0.796689i	0.0344326	−	0.0907912i
$78$	−0.231702			−0.0262350
$79$	5.19298	+	7.21338i	0.584256	+	0.811569i
$79$	5.19298	+	7.21338i	0.584256	+	0.811569i
$80$	−3.75281			−0.419577
$81$	−2.84067	+	7.49022i	−0.315630	+	0.832247i
$82$	4.13727	+	2.17141i	0.456885	+	0.239792i
$83$	−11.9455	−	10.5827i	−1.31118	−	1.16161i	−0.975590	−	0.219601i	$-0.929525\pi$
$83$	−11.9455	−	10.5827i	−1.31118	−	1.16161i	−0.335594	−	0.942007i	$-0.608937\pi$
$84$	−0.00590514	+	0.0486332i	−0.000644303	+	0.00530631i
$85$	2.44576	−	2.16675i	0.265279	−	0.235017i
$86$	−6.91518	−	3.62937i	−0.745683	−	0.391364i
$87$	1.53162	−	0.803854i	0.164206	−	0.0861822i
$88$	3.29596	+	4.77502i	0.351350	+	0.509018i
$89$	5.16431	+	2.71044i	0.547415	+	0.287306i	0.715671	−	0.698438i	$-0.246121\pi$
$89$	5.16431	+	2.71044i	0.547415	+	0.287306i	−0.168256	+	0.985743i	$0.553813\pi$
$90$	1.30671	+	10.7617i	0.137739	+	1.13439i
$91$	−0.0361690	−	0.0953697i	−0.00379154	−	0.00999746i
$92$	−2.15976	−	1.91338i	−0.225171	−	0.199484i
$93$	0.799445	−	0.708247i	0.0828986	−	0.0734418i
$94$	−3.65714	+	5.29828i	−0.377205	+	0.546476i
$95$	1.66548	+	13.7165i	0.170875	+	1.40728i
$96$	−0.249702	−	0.221217i	−0.0254851	−	0.0225778i
$97$	−14.9511	+	3.68512i	−1.51806	+	0.374167i	−0.908266	−	0.418394i	$-0.862593\pi$
$97$	−14.9511	+	3.68512i	−1.51806	+	0.374167i	−0.609792	+	0.792562i	$0.708747\pi$
$98$	6.77565	−	1.67005i	0.684444	−	0.168700i
$99$	12.5454	−	11.1143i	1.26086	−	1.11703i
$100$	5.16005	+	7.47562i	0.516005	+	0.747562i
$101$	−0.640096	−	0.157769i	−0.0636919	−	0.0156986i	0.207341	−	0.978269i	$-0.433519\pi$
$101$	−0.640096	−	0.157769i	−0.0636919	−	0.0156986i	−0.271033	+	0.962570i	$0.587365\pi$
$102$	0.290458			0.0287596
$103$	13.9087			1.37046			0.685232	−	0.728324i	$-0.259701\pi$
$103$	13.9087			1.37046			0.685232	+	0.728324i	$0.259701\pi$
$104$	0.674370	+	0.166217i	0.0661274	+	0.0162989i
$105$	0.162792	−	0.0854400i	0.0158869	−	0.00833809i
$106$	0.538816	+	4.43755i	0.0523344	+	0.431013i
$107$	4.16547	+	10.9834i	0.402691	+	1.06181i	0.971018	+	0.239006i	$0.0768216\pi$
$107$	4.16547	+	10.9834i	0.402691	+	1.06181i	−0.568327	+	0.822803i	$0.692409\pi$
$108$	−1.11594	+	1.61672i	−0.107382	+	0.155569i
$109$	−10.1353	−	14.6835i	−0.970788	−	1.40643i	−0.912936	−	0.408103i	$-0.866190\pi$
$109$	−10.1353	−	14.6835i	−0.970788	−	1.40643i	−0.0578518	−	0.998325i	$-0.518425\pi$
$110$	7.72119	−	20.3591i	0.736187	−	1.94117i
$111$	3.59751	+	0.886707i	0.341461	+	0.0841625i
$112$	0.0520752	−	0.137311i	0.00492065	−	0.0129747i
$113$	3.93221	−	2.06379i	0.369912	−	0.194145i	−0.269516	−	0.962996i	$-0.586864\pi$
$113$	3.93221	−	2.06379i	0.369912	−	0.194145i	0.639428	+	0.768851i	$0.279171\pi$
$114$	−0.697728	+	1.01083i	−0.0653482	+	0.0946732i
$115$	−1.30522	+	10.7495i	−0.121712	+	1.00239i
$116$	−5.03445	+	1.24088i	−0.467437	+	0.115213i
$117$	0.241840	−	1.99173i	0.0223581	−	0.184136i
$118$	−3.05222	−	8.04804i	−0.280979	−	0.740882i
$119$	0.0453409	+	0.119554i	0.00415639	+	0.0109595i
$120$	−0.150904	+	1.24280i	−0.0137756	+	0.113452i
$121$	−22.0055	+	5.42387i	−2.00050	+	0.493079i
$122$	1.64104	−	13.5152i	0.148573	−	1.22361i
$123$	0.885461	−	1.28281i	0.0798393	−	0.115667i
$124$	−2.83487	+	1.48786i	−0.254579	+	0.133613i
$125$	5.43425	−	14.3289i	0.486054	−	1.28162i
$126$	−0.411893	−	0.101522i	−0.0366943	−	0.00904433i
$127$	6.58726	−	17.3692i	0.584524	−	1.54126i	−0.237248	−	0.971449i	$-0.576245\pi$
$127$	6.58726	−	17.3692i	0.584524	−	1.54126i	0.821773	−	0.569815i	$-0.192985\pi$
$128$	0.568065	+	0.822984i	0.0502103	+	0.0727422i
$129$	−1.47999	+	2.14413i	−0.130306	+	0.188780i
$130$	−0.924285	−	2.43714i	−0.0810652	−	0.213751i
$131$	−0.689347	−	5.67728i	−0.0602285	−	0.496026i	−0.991343	−	0.131299i	$-0.958085\pi$
$131$	−0.689347	−	5.67728i	−0.0602285	−	0.496026i	0.931114	−	0.364727i	$-0.118838\pi$
$132$	1.71386	−	0.899502i	0.149172	−	0.0782916i
$133$	−0.524981	−	0.129396i	−0.0455216	−	0.0112201i
$134$	−1.56199			−0.134935
$135$	7.37226			0.634503
$136$	−0.845380	−	0.208367i	−0.0724907	−	0.0178674i
$137$	3.92646	+	5.68846i	0.335460	+	0.485998i	0.954021	−	0.299739i	$-0.0968995\pi$
$137$	3.92646	+	5.68846i	0.335460	+	0.485998i	−0.618561	+	0.785737i	$0.712284\pi$
$138$	−0.720494	+	0.638302i	−0.0613325	+	0.0543359i
$139$	−0.866574	+	0.213591i	−0.0735019	+	0.0181166i	−0.275895	−	0.961188i	$-0.588974\pi$
$139$	−0.866574	+	0.213591i	−0.0735019	+	0.0181166i	0.202393	+	0.979304i	$0.435128\pi$
$140$	−0.535101	+	0.131891i	−0.0452243	+	0.0111468i
$141$	1.60756	+	1.42417i	0.135381	+	0.119937i
$142$	−0.727342	−	5.99020i	−0.0610372	−	0.502686i
$143$	−2.28921	+	3.31650i	−0.191434	+	0.277339i
$144$	2.16223	−	1.91557i	0.180186	−	0.159631i
$145$	14.5651	+	12.9035i	1.20956	+	1.07158i
$146$	2.52902	+	6.66847i	0.209303	+	0.551886i
$147$	−0.280609	−	2.31102i	−0.0231442	−	0.190610i
$148$	−9.83449	−	5.16154i	−0.808390	−	0.424276i
$149$	3.31055	+	4.79616i	0.271211	+	0.392917i	0.934797	−	0.355184i	$-0.115582\pi$
$149$	3.31055	+	4.79616i	0.271211	+	0.392917i	−0.663586	+	0.748100i	$0.730966\pi$
$150$	2.68316	−	1.40823i	0.219079	−	0.114982i
$151$	9.99897	+	5.24787i	0.813705	+	0.427065i	0.819613	−	0.572917i	$-0.194188\pi$
$151$	9.99897	+	5.24787i	0.813705	+	0.427065i	−0.00590834	+	0.999983i	$0.501881\pi$
$152$	2.75589	−	2.44151i	0.223532	−	0.198032i
$153$	−0.303167	+	2.49681i	−0.0245096	+	0.201855i
$154$	0.637776	+	0.565020i	0.0513934	+	0.0455306i
$155$	10.6387	+	5.58363i	0.854523	+	0.448488i
$156$	0.0821626	−	0.216645i	0.00657827	−	0.0173455i
$157$	11.0921			0.885250			0.442625	−	0.896707i	$-0.354047\pi$
$157$	11.0921			0.885250			0.442625	+	0.896707i	$0.354047\pi$
$158$	−8.58609	+	2.29762i	−0.683073	+	0.182789i
$159$	1.49123			0.118262
$160$	1.33076	−	3.50894i	0.105206	−	0.277406i
$161$	−0.375199	−	0.196920i	−0.0295698	−	0.0155194i
$162$	−5.99616	−	5.31214i	−0.471103	−	0.417361i
$163$	−0.642442	+	5.29099i	−0.0503199	+	0.414422i	0.945682	+	0.325093i	$0.105395\pi$
$163$	−0.642442	+	5.29099i	−0.0503199	+	0.414422i	−0.996002	+	0.0893295i	$0.971528\pi$
$164$	−3.49740	+	3.09843i	−0.273101	+	0.241946i
$165$	−6.43178	−	3.37566i	−0.500713	−	0.262794i
$166$	14.1310	−	7.41650i	1.09677	−	0.575632i
$167$	−10.0056	−	14.4955i	−0.774253	−	1.12170i	−0.989414	−	0.145120i	$-0.953643\pi$
$167$	−10.0056	−	14.4955i	−0.774253	−	1.12170i	0.215161	−	0.976579i	$-0.430972\pi$
$168$	−0.0433788	−	0.0227670i	−0.00334675	−	0.00175651i
$169$	−1.50883	−	12.4263i	−0.116064	−	0.955872i
$170$	1.15867	+	3.05516i	0.0888659	+	0.234320i
$171$	−7.96097	−	7.05281i	−0.608791	−	0.539342i
$172$	5.84567	−	5.17881i	0.445728	−	0.394881i
$173$	4.27119	−	6.18788i	0.324732	−	0.470456i	−0.626285	−	0.779594i	$-0.715425\pi$
$173$	4.27119	−	6.18788i	0.324732	−	0.470456i	0.951017	+	0.309138i	$0.100041\pi$
$174$	0.208498	+	1.71714i	0.0158062	+	0.130176i
$175$	0.998483	+	0.884578i	0.0754782	+	0.0668678i
$176$	−5.63348	+	1.38853i	−0.424639	+	0.104664i
$177$	−2.78797	+	0.687173i	−0.209557	+	0.0516511i
$178$	−4.36559	+	3.86758i	−0.327215	+	0.289887i
$179$	−8.15330	−	11.8121i	−0.609406	−	0.882877i	0.389872	−	0.920869i	$-0.372519\pi$
$179$	−8.15330	−	11.8121i	−0.609406	−	0.882877i	−0.999278	+	0.0379918i	$0.987904\pi$
$180$	−10.5258	−	2.59437i	−0.784544	−	0.193373i
$181$	−12.1469			−0.902870			−0.451435	−	0.892304i	$-0.649088\pi$
$181$	−12.1469			−0.902870			−0.451435	+	0.892304i	$0.649088\pi$
$182$	0.101998			0.00756059
$183$	−4.40979	−	1.08692i	−0.325981	−	0.0803471i
$184$	2.55491	−	1.34092i	0.188350	−	0.0988539i
$185$	5.02412	+	41.3774i	0.369381	+	3.04212i
$186$	0.378735	+	0.998642i	0.0277702	+	0.0732240i
$187$	2.86972	−	4.15751i	0.209855	−	0.304027i
$188$	−3.65714	−	5.29828i	−0.266724	−	0.386417i
$189$	−0.102300	+	0.269743i	−0.00744123	+	0.0196209i
$190$	−13.4157	−	3.30667i	−0.973277	−	0.239891i
$191$	−5.88402	+	15.5149i	−0.425753	+	1.12262i	0.534912	+	0.844908i	$0.320345\pi$
$191$	−5.88402	+	15.5149i	−0.425753	+	1.12262i	−0.960665	+	0.277710i	$0.910425\pi$
$192$	0.295387	−	0.155031i	0.0213177	−	0.0111884i
$193$	10.7007	−	15.5026i	0.770250	−	1.11590i	−0.219849	−	0.975534i	$-0.570557\pi$
$193$	10.7007	−	15.5026i	0.770250	−	1.11590i	0.990100	−	0.140366i	$-0.0448280\pi$
$194$	1.85609	−	15.2863i	0.133260	−	1.09749i
$195$	−0.844265	+	0.208093i	−0.0604590	+	0.0149018i
$196$	−0.841157	+	6.92755i	−0.0600827	+	0.494825i
$197$	−2.52474	−	6.65719i	−0.179880	−	0.474305i	0.814501	−	0.580162i	$-0.197011\pi$
$197$	−2.52474	−	6.65719i	−0.179880	−	0.474305i	−0.994381	+	0.105857i	$0.966242\pi$
$198$	5.94336	+	15.6714i	0.422377	+	1.11372i
$199$	1.75150	−	14.4249i	0.124161	−	1.02255i	−0.788841	−	0.614598i	$-0.789318\pi$
$199$	1.75150	−	14.4249i	0.124161	−	1.02255i	0.913001	−	0.407957i	$-0.133759\pi$
$200$	−8.81961	+	2.17384i	−0.623640	+	0.153714i
$201$	−0.0628090	+	0.517278i	−0.00443020	+	0.0364860i
$202$	0.374498	−	0.542554i	0.0263496	−	0.0381740i
$203$	−0.674236	+	0.353866i	−0.0473221	+	0.0248366i
$204$	−0.102998	+	0.271583i	−0.00721129	+	0.0190146i
$205$	17.0254	+	4.19638i	1.18910	+	0.293088i
$206$	−4.93209	+	13.0049i	−0.343635	+	0.906091i
$207$	−4.73489	−	6.85968i	−0.329098	−	0.476781i
$208$	−0.394551	+	0.571605i	−0.0273572	+	0.0396337i
$209$	7.57516	+	19.9741i	0.523985	+	1.38164i
$210$	0.0221608	+	0.182511i	0.00152924	+	0.0125944i
$211$	11.2428	−	5.90069i	0.773989	−	0.406221i	−0.0309936	−	0.999520i	$-0.509867\pi$
$211$	11.2428	−	5.90069i	0.773989	−	0.406221i	0.804982	+	0.593299i	$0.202175\pi$
$212$	−4.34024	−	1.06977i	−0.298089	−	0.0734724i
$213$	−2.01300			−0.137928
$214$	−11.7468			−0.802994
$215$	−28.4568	−	7.01397i	−1.94074	−	0.478349i
$216$	−1.11594	−	1.61672i	−0.0759304	−	0.110004i
$217$	−0.351926	+	0.311779i	−0.0238903	+	0.0211649i
$218$	17.3234	−	4.26983i	1.17329	−	0.289189i
$219$	2.31007	−	0.569380i	0.156100	−	0.0384751i
$220$	16.2981	+	14.4389i	1.09882	+	0.973469i
$221$	−0.0728925	−	0.600324i	−0.00490328	−	0.0403822i
$222$	−2.10478	+	3.04930i	−0.141264	+	0.204656i
$223$	−1.10640	+	0.980187i	−0.0740902	+	0.0656382i	−0.699355	−	0.714774i	$-0.746529\pi$
$223$	−1.10640	+	0.980187i	−0.0740902	+	0.0656382i	0.625265	+	0.780413i	$0.284991\pi$
$224$	0.109922	+	0.0973824i	0.00734447	+	0.00650663i
$225$	9.30476	+	24.5346i	0.620317	+	1.63564i
$226$	0.535290	+	4.40851i	0.0356070	+	0.293250i
$227$	14.9524	+	7.84765i	0.992429	+	0.520867i	0.881107	−	0.472918i	$-0.156799\pi$
$227$	14.9524	+	7.84765i	0.992429	+	0.520867i	0.111322	+	0.993784i	$0.464492\pi$
$228$	−0.697728	−	1.01083i	−0.0462081	−	0.0669441i
$229$	−1.24151	+	0.651597i	−0.0820416	+	0.0430587i	−0.505245	−	0.862976i	$-0.668598\pi$
$229$	−1.24151	+	0.651597i	−0.0820416	+	0.0430587i	0.423203	+	0.906035i	$0.360906\pi$
$230$	−9.58807	−	5.03221i	−0.632219	−	0.331814i
$231$	0.212761	−	0.188490i	0.0139987	−	0.0124017i
$232$	0.624997	−	5.14731i	0.0410331	−	0.337938i
$233$	−10.8687	−	9.62887i	−0.712035	−	0.630808i	0.227293	−	0.973826i	$-0.427012\pi$
$233$	−10.8687	−	9.62887i	−0.712035	−	0.630808i	−0.939329	+	0.343018i	$0.888551\pi$
$234$	1.77654	+	0.932403i	0.116136	+	0.0609531i
$235$	−8.56732	+	22.5902i	−0.558870	+	1.47362i
$236$	8.60738			0.560292
$237$	0.415641	+	2.93581i	0.0269988	+	0.190702i
$238$	−0.127863			−0.00828813
$239$	2.08461	−	5.49667i	0.134842	−	0.355550i	−0.850539	−	0.525911i	$-0.823724\pi$
$239$	2.08461	−	5.49667i	0.134842	−	0.355550i	0.985382	+	0.170362i	$0.0544936\pi$
$240$	−1.10853	−	0.581801i	−0.0715553	−	0.0375551i
$241$	7.70842	+	6.82906i	0.496543	+	0.439898i	0.873854	−	0.486188i	$-0.161613\pi$
$241$	7.70842	+	6.82906i	0.496543	+	0.439898i	−0.377312	+	0.926086i	$0.623151\pi$
$242$	2.73185	−	22.4988i	0.175610	−	1.44628i
$243$	−6.41158	+	5.68017i	−0.411303	+	0.364383i
$244$	12.0550	+	6.32696i	0.771743	+	0.405042i
$245$	23.1890	−	12.1705i	1.48149	−	0.777545i
$246$	0.885461	+	1.28281i	0.0564549	+	0.0817890i
$247$	2.26431	+	1.18840i	0.144075	+	0.0756162i
$248$	−0.385910	−	3.17825i	−0.0245053	−	0.201819i
$249$	−1.88788	−	4.97792i	−0.119639	−	0.315463i
$250$	11.4708	+	10.1622i	0.725476	+	0.642716i
$251$	−19.3799	+	17.1691i	−1.22325	+	1.08370i	−0.229354	+	0.973343i	$0.573661\pi$
$251$	−19.3799	+	17.1691i	−1.22325	+	1.08370i	−0.993892	+	0.110358i	$0.964800\pi$
$252$	0.240984	−	0.349126i	0.0151806	−	0.0219929i
$253$	2.01795	+	16.6193i	0.126868	+	1.04485i
$254$	13.9046	+	12.3184i	0.872451	+	0.772924i
$255$	1.05836	−	0.260862i	0.0662769	−	0.0163358i
$256$	−0.970942	+	0.239316i	−0.0606839	+	0.0149572i
$257$	−20.8068	+	18.4332i	−1.29789	+	1.14983i	−0.318487	+	0.947927i	$0.603175\pi$
$257$	−20.8068	+	18.4332i	−1.29789	+	1.14983i	−0.979405	+	0.201905i	$0.935287\pi$
$258$	−1.47999	−	2.14413i	−0.0921401	−	0.133488i
$259$	−1.58367	−	0.390339i	−0.0984044	−	0.0242545i
$260$	2.60652			0.161650
$261$	−14.9783			−0.927134
$262$	5.55280	+	1.36864i	0.343053	+	0.0845549i
$263$	1.51605	−	0.795686i	0.0934839	−	0.0490641i	−0.417333	−	0.908754i	$-0.637035\pi$
$263$	1.51605	−	0.795686i	0.0934839	−	0.0490641i	0.510817	+	0.859689i	$0.329343\pi$
$264$	0.233307	+	1.92145i	0.0143590	+	0.118257i
$265$	5.94870	+	15.6854i	0.365426	+	0.963548i
$266$	0.307148	−	0.444981i	0.0188325	−	0.0272835i
$267$	1.10527	+	1.60126i	0.0676412	+	0.0979952i
$268$	0.553889	−	1.46049i	0.0338342	−	0.0892133i
$269$	−27.1192	−	6.68429i	−1.65349	−	0.407548i	−0.701252	−	0.712913i	$-0.747375\pi$
$269$	−27.1192	−	6.68429i	−1.65349	−	0.407548i	−0.952235	+	0.305365i	$0.901221\pi$
$270$	−2.61424	+	6.89318i	−0.159098	+	0.419506i
$271$	0.218301	−	0.114573i	0.0132608	−	0.00695982i	−0.458080	−	0.888911i	$-0.651463\pi$
$271$	0.218301	−	0.114573i	0.0132608	−	0.00695982i	0.471341	+	0.881951i	$0.343770\pi$
$272$	0.494603	−	0.716556i	0.0299897	−	0.0434476i
$273$	0.00410143	−	0.0337783i	0.000248230	−	0.00204435i
$274$	−6.71114	+	1.65415i	−0.405435	+	0.0999308i
$275$	6.35270	−	52.3192i	0.383083	−	3.15497i
$276$	−0.341332	−	0.900019i	−0.0205458	−	0.0541748i
$277$	−1.82027	−	4.79967i	−0.109370	−	0.288384i	0.869146	−	0.494555i	$-0.164669\pi$
$277$	−1.82027	−	4.79967i	−0.109370	−	0.288384i	−0.978516	+	0.206171i	$0.933900\pi$
$278$	0.107580	−	0.886002i	0.00645222	−	0.0531388i
$279$	−8.97974	+	2.21331i	−0.537603	+	0.132507i
$280$	0.0664296	−	0.547097i	0.00396993	−	0.0326953i
$281$	−6.81512	+	9.87341i	−0.406556	+	0.588998i	−0.971765	−	0.235949i	$-0.924180\pi$
$281$	−6.81512	+	9.87341i	−0.406556	+	0.588998i	0.565209	+	0.824948i	$0.308795\pi$
$282$	−1.90167	+	0.998073i	−0.113243	+	0.0594344i
$283$	6.34736	−	16.7366i	0.377311	−	0.994888i	−0.603054	−	0.797700i	$-0.706050\pi$
$283$	6.34736	−	16.7366i	0.377311	−	0.994888i	0.980366	−	0.197188i	$-0.0631810\pi$
$284$	5.85885	+	1.44408i	0.347659	+	0.0856902i
$285$	−1.63452	+	4.30986i	−0.0968203	+	0.255294i
$286$	−2.28921	−	3.31650i	−0.135364	−	0.196109i
$287$	−0.389791	+	0.564709i	−0.0230086	+	0.0333337i
$288$	1.02435	+	2.70099i	0.0603605	+	0.159158i
$289$	−1.95775	−	16.1235i	−0.115162	−	0.948441i
$290$	−17.2299	+	9.04293i	−1.01177	+	0.531019i
$291$	−4.98768	−	1.22935i	−0.292383	−	0.0720659i
$292$	−7.13193			−0.417365
$293$	−6.10975			−0.356935			−0.178468	−	0.983946i	$-0.557114\pi$
$293$	−6.10975			−0.356935			−0.178468	+	0.983946i	$0.557114\pi$
$294$	2.26035	+	0.557126i	0.131826	+	0.0324922i
$295$	−18.3495	−	26.5839i	−1.06835	−	1.54777i
$296$	8.31348	−	7.36510i	0.483211	−	0.428088i
$297$	11.0668	−	2.72772i	0.642160	−	0.158278i
$298$	−5.65842	+	1.39468i	−0.327784	+	0.0807914i
$299$	1.50007	+	1.32895i	0.0867512	+	0.0768549i
$300$	0.365258	+	3.00817i	0.0210882	+	0.173677i
$301$	0.651509	−	0.943874i	0.0375524	−	0.0544040i
$302$	−8.45252	+	7.48828i	−0.486388	+	0.430902i
$303$	−0.164617	−	0.145838i	−0.00945699	−	0.00837816i
$304$	1.30560	+	3.44257i	0.0748810	+	0.197445i
$305$	−6.15851	−	50.7199i	−0.352636	−	2.90421i
$306$	−2.22705	−	1.16885i	−0.127312	−	0.0668185i
$307$	13.6416	+	19.7633i	0.778567	+	1.12795i	0.988646	+	0.150265i	$0.0480126\pi$
$307$	13.6416	+	19.7633i	0.778567	+	1.12795i	−0.210079	+	0.977684i	$0.567372\pi$
$308$	−0.754461	+	0.395972i	−0.0429894	+	0.0225626i
$309$	4.10845	+	2.15628i	0.233721	+	0.122666i
$310$	−8.99333	+	7.96740i	−0.510787	+	0.452518i
$311$	−0.215533	+	1.77508i	−0.0122218	+	0.100655i	−0.997543	−	0.0700540i	$-0.977683\pi$
$311$	−0.215533	+	1.77508i	−0.0122218	+	0.100655i	0.985321	+	0.170709i	$0.0546059\pi$
$312$	0.173431	+	0.153647i	0.00981861	+	0.00869853i
$313$	10.6225	+	5.57510i	0.600417	+	0.315123i	0.737406	−	0.675449i	$-0.236050\pi$
$313$	10.6225	+	5.57510i	0.600417	+	0.315123i	−0.136989	+	0.990573i	$0.543743\pi$
$314$	−3.93333	+	10.3713i	−0.221971	+	0.585288i
$315$	−1.59201			−0.0896998
$316$	0.896354	−	8.84288i	0.0504239	−	0.497451i
$317$	27.9832			1.57169			0.785847	−	0.618421i	$-0.212227\pi$
$317$	27.9832			1.57169			0.785847	+	0.618421i	$0.212227\pi$
$318$	−0.528798	+	1.39433i	−0.0296535	+	0.0781899i
$319$	26.6385	+	13.9809i	1.49147	+	0.782782i
$320$	2.80902	+	2.48857i	0.157029	+	0.139115i
$321$	−0.472349	+	3.89014i	−0.0263639	+	0.217126i
$322$	0.317170	−	0.280988i	0.0176752	−	0.0156589i
$323$	−2.83851	−	1.48976i	−0.157939	−	0.0828926i
$324$	7.09320	−	3.72280i	0.394067	−	0.206822i
$325$	−3.58392	−	5.19221i	−0.198800	−	0.288012i
$326$	−4.71935	−	2.47690i	−0.261380	−	0.137183i
$327$	−0.717436	−	5.90862i	−0.0396743	−	0.326747i
$328$	−1.65688	−	4.36884i	−0.0914861	−	0.241229i
$329$	−0.707666	−	0.626937i	−0.0390149	−	0.0345642i
$330$	5.43703	−	4.81679i	0.299299	−	0.265156i
$331$	16.0309	−	23.2248i	0.881140	−	1.27655i	−0.0789545	−	0.996878i	$-0.525158\pi$
$331$	16.0309	−	23.2248i	0.881140	−	1.27655i	0.960095	−	0.279674i	$-0.0902264\pi$
$332$	1.92364	+	15.8426i	0.105573	+	0.869476i
$333$	−24.0152	−	21.2757i	−1.31603	−	1.16590i
$334$	17.1016	−	4.21516i	0.935757	−	0.230643i
$335$	−5.69151	+	1.40283i	−0.310960	+	0.0766449i
$336$	0.0366698	−	0.0324866i	0.00200050	−	0.00177229i
$337$	2.46015	+	3.56414i	0.134013	+	0.194151i	0.884245	−	0.467023i	$-0.154674\pi$
$337$	2.46015	+	3.56414i	0.134013	+	0.194151i	−0.750232	+	0.661175i	$0.770058\pi$
$338$	12.1539	+	2.99566i	0.661083	+	0.162942i
$339$	1.48148			0.0804627
$340$	−3.26750			−0.177205
$341$	18.0361	+	4.44550i	0.976711	+	0.240738i
$342$	9.41749	−	4.94268i	0.509239	−	0.267270i
$343$	0.247437	+	2.03782i	0.0133603	+	0.110032i
$344$	2.76937	+	7.30223i	0.149314	+	0.393710i
$345$	−2.05204	+	2.97290i	−0.110478	+	0.160055i
$346$	4.27119	+	6.18788i	0.229620	+	0.332663i
$347$	2.16605	−	5.71140i	0.116280	−	0.306604i	−0.864223	−	0.503108i	$-0.832190\pi$
$347$	2.16605	−	5.71140i	0.116280	−	0.306604i	0.980503	+	0.196504i	$0.0629590\pi$
$348$	−1.67948	−	0.413956i	−0.0900298	−	0.0221904i
$349$	−7.36813	+	19.4282i	−0.394407	+	1.03997i	0.579889	+	0.814695i	$0.303096\pi$
$349$	−7.36813	+	19.4282i	−0.394407	+	1.03997i	−0.974296	+	0.225271i	$0.927673\pi$
$350$	−1.18116	+	0.619922i	−0.0631358	+	0.0331362i
$351$	0.775081	−	1.12290i	0.0413708	−	0.0599359i
$352$	0.699363	−	5.75977i	0.0372762	−	0.306997i
$353$	−27.4421	+	6.76387i	−1.46060	+	0.360004i	−0.888004	−	0.459836i	$-0.847908\pi$
$353$	−27.4421	+	6.76387i	−1.46060	+	0.360004i	−0.572592	+	0.819841i	$0.694062\pi$
$354$	0.346110	−	2.85047i	0.0183955	−	0.151501i
$355$	−8.03009	−	21.1736i	−0.426193	−	1.12378i
$356$	−2.06819	−	5.45336i	−0.109614	−	0.289027i
$357$	−0.00514149	+	0.0423440i	−0.000272116	+	0.00224108i
$358$	13.9357	−	3.43484i	0.736525	−	0.181537i
$359$	1.03421	−	8.51745i	0.0545833	−	0.449534i	−0.939637	−	0.342173i	$-0.888837\pi$
$359$	1.03421	−	8.51745i	0.0545833	−	0.449534i	0.994220	−	0.107361i	$-0.0342399\pi$
$360$	6.15826	−	8.92179i	0.324569	−	0.470219i
$361$	−4.82053	+	2.53001i	−0.253712	+	0.133158i
$362$	4.30734	−	11.3575i	0.226389	−	0.596938i
$363$	−7.34101	−	1.80940i	−0.385303	−	0.0949687i
$364$	−0.0361690	+	0.0953697i	−0.00189577	+	0.00499873i
$365$	15.2041	+	22.0270i	0.795819	+	1.15294i
$366$	2.58002	−	3.73780i	0.134860	−	0.195378i
$367$	−6.58453	−	17.3620i	−0.343710	−	0.906288i	−0.989728	−	0.142965i	$-0.954336\pi$
$367$	−6.58453	−	17.3620i	−0.343710	−	0.906288i	0.646018	−	0.763322i	$-0.276433\pi$
$368$	0.347798	+	2.86438i	0.0181302	+	0.149316i
$369$	−11.9514	+	6.27257i	−0.622164	+	0.326537i
$370$	−40.4701	−	9.97498i	−2.10394	−	0.518575i
$371$	−0.656459			−0.0340816
$372$	−1.06805			−0.0553757
$373$	8.80274	+	2.16968i	0.455789	+	0.112342i	0.460525	−	0.887647i	$-0.347661\pi$
$373$	8.80274	+	2.16968i	0.455789	+	0.112342i	−0.00473585	+	0.999989i	$0.501507\pi$
$374$	2.86972	+	4.15751i	0.148390	+	0.214980i
$375$	3.82664	−	3.39010i	0.197607	−	0.175064i
$376$	6.25082	−	1.54069i	0.322362	−	0.0794550i
$377$	3.49669	−	0.861856i	0.180089	−	0.0443878i
$378$	−0.215938	−	0.191304i	−0.0111067	−	0.00983963i
$379$	0.189717	+	1.56246i	0.00974510	+	0.0802581i	0.996770	−	0.0803091i	$-0.0255907\pi$
$379$	0.189717	+	1.56246i	0.00974510	+	0.0802581i	−0.987025	+	0.160567i	$0.948668\pi$
$380$	7.84907	−	11.3713i	0.402649	−	0.583337i
$381$	4.63855	−	4.10940i	0.237640	−	0.210531i
$382$	−12.4202	−	11.0033i	−0.635471	−	0.562978i
$383$	5.98188	+	15.7729i	0.305660	+	0.805959i	0.996550	+	0.0829988i	$0.0264498\pi$
$383$	5.98188	+	15.7729i	0.305660	+	0.805959i	−0.690890	+	0.722960i	$0.742781\pi$
$384$	0.0402109	+	0.331166i	0.00205200	+	0.0168998i
$385$	2.83135	+	1.48601i	0.144299	+	0.0757339i
$386$	10.7007	+	15.5026i	0.544649	+	0.789061i
$387$	19.9760	−	10.4842i	1.01543	−	0.532941i
$388$	13.6348	+	7.15608i	0.692201	+	0.363295i
$389$	20.5558	−	18.2108i	1.04222	−	0.923326i	0.0450857	−	0.998983i	$-0.485644\pi$
$389$	20.5558	−	18.2108i	1.04222	−	0.923326i	0.997134	+	0.0756572i	$0.0241055\pi$
$390$	0.104810	−	0.863192i	0.00530728	−	0.0437094i
$391$	−1.88046	−	1.66595i	−0.0950992	−	0.0842505i
$392$	−6.17910	−	3.24304i	−0.312091	−	0.163798i
$393$	0.676531	−	1.78386i	0.0341265	−	0.0899841i
$394$	7.11987			0.358694
$395$	−29.2221	+	16.0832i	−1.47032	+	0.809233i
$396$	−16.7605			−0.842248
$397$	−3.17098	+	8.36119i	−0.159147	+	0.419636i	−0.990744	−	0.135743i	$-0.956658\pi$
$397$	−3.17098	+	8.36119i	−0.159147	+	0.419636i	0.831597	+	0.555379i	$0.187427\pi$
$398$	12.8664	+	6.75282i	0.644936	+	0.338488i
$399$	−0.135012	−	0.119610i	−0.00675906	−	0.00598800i
$400$	1.09490	−	9.01733i	0.0547451	−	0.450866i
$401$	−10.3610	+	9.17902i	−0.517402	+	0.458379i	−0.880958	−	0.473194i	$-0.843101\pi$
$401$	−10.3610	+	9.17902i	−0.517402	+	0.458379i	0.363556	+	0.931572i	$0.381563\pi$
$402$	−0.461391	−	0.242157i	−0.0230121	−	0.0120777i
$403$	1.96897	−	1.03339i	0.0980812	−	0.0514770i
$404$	0.374498	+	0.542554i	0.0186320	+	0.0269931i
$405$	−26.6194	−	13.9710i	−1.32273	−	0.694222i
$406$	−0.0917834	−	0.755905i	−0.00455514	−	0.0375149i
$407$	22.8514	+	60.2542i	1.13270	+	2.98669i
$408$	−0.217411	−	0.192609i	−0.0107634	−	0.00953557i
$409$	−12.2486	+	10.8513i	−0.605653	+	0.536562i	−0.909256	−	0.416237i	$-0.863349\pi$
$409$	−12.2486	+	10.8513i	−0.605653	+	0.536562i	0.303603	+	0.952798i	$0.401810\pi$
$410$	−9.96096	+	14.4309i	−0.491937	+	0.712693i
$411$	0.277937	+	2.28902i	0.0137096	+	0.112909i
$412$	−10.4108	−	9.22317i	−0.512904	−	0.454393i
$413$	1.22730	−	0.302502i	0.0603914	−	0.0148852i
$414$	8.09293	−	1.99473i	0.397746	−	0.0980355i
$415$	44.8290	−	39.7150i	2.20057	−	1.94953i
$416$	−0.394551	−	0.571605i	−0.0193444	−	0.0280253i
$417$	−0.289088	−	0.0712538i	−0.0141567	−	0.00348931i
$418$	−21.3623			−1.04486
$419$	−8.47274			−0.413921			−0.206960	−	0.978349i	$-0.566357\pi$
$419$	−8.47274			−0.413921			−0.206960	+	0.978349i	$0.566357\pi$
$420$	−0.178509	−	0.0439985i	−0.00871035	−	0.00214691i
$421$	14.1587	−	7.43104i	0.690051	−	0.362167i	−0.0829657	−	0.996552i	$-0.526439\pi$
$421$	14.1587	−	7.43104i	0.690051	−	0.362167i	0.773017	+	0.634386i	$0.218747\pi$
$422$	1.53048	+	12.6046i	0.0745027	+	0.613585i
$423$	−6.59467	−	17.3887i	−0.320644	−	0.845468i
$424$	2.53933	−	3.67885i	0.123321	−	0.178661i
$425$	4.49275	+	6.50888i	0.217931	+	0.315727i
$426$	0.713819	−	1.88219i	0.0345847	−	0.0911923i
$427$	1.94124	+	0.478474i	0.0939434	+	0.0231550i
$428$	4.16547	−	10.9834i	0.201346	−	0.530905i
$429$	−1.19036	+	0.624751i	−0.0574713	+	0.0301633i
$430$	16.6491	−	24.1204i	0.802890	−	1.16319i
$431$	0.664387	−	5.47172i	0.0320024	−	0.263564i	−0.967922	−	0.251252i	$-0.919158\pi$
$431$	0.664387	−	5.47172i	0.0320024	−	0.263564i	0.999924	−	0.0123119i	$-0.00391911\pi$
$432$	1.90738	−	0.470128i	0.0917690	−	0.0226190i
$433$	2.60236	−	21.4324i	0.125062	−	1.02997i	−0.786150	−	0.618036i	$-0.787929\pi$
$433$	2.60236	−	21.4324i	0.125062	−	1.02997i	0.911211	−	0.411939i	$-0.135148\pi$
$434$	−0.166724	−	0.439615i	−0.00800300	−	0.0211022i
$435$	2.30189	+	6.06957i	0.110367	+	0.291014i
$436$	−2.15060	+	17.7118i	−0.102995	+	0.848239i
$437$	10.3149	−	2.54240i	0.493429	−	0.121619i
$438$	−0.286781	+	2.36185i	−0.0137029	+	0.112854i
$439$	−14.4720	+	20.9664i	−0.690713	+	1.00067i	0.308071	+	0.951363i	$0.400317\pi$
$439$	−14.4720	+	20.9664i	−0.690713	+	1.00067i	−0.998784	+	0.0493069i	$0.984299\pi$
$440$	−19.2800	+	10.1189i	−0.919137	+	0.482400i
$441$	−7.14837	+	18.8487i	−0.340398	+	0.897557i
$442$	0.587161	+	0.144722i	0.0279284	+	0.00688373i
$443$	−10.1169	+	26.6761i	−0.480669	+	1.26742i	0.447174	+	0.894447i	$0.352430\pi$
$443$	−10.1169	+	26.6761i	−0.480669	+	1.26742i	−0.927843	+	0.372972i	$0.878339\pi$
$444$	−2.10478	−	3.04930i	−0.0998885	−	0.144713i
$445$	−12.4337	+	18.0133i	−0.589412	+	0.853911i
$446$	−0.524155	−	1.38208i	−0.0248195	−	0.0654435i
$447$	0.234340	+	1.92996i	0.0110839	+	0.0912840i
$448$	−0.130033	+	0.0682466i	−0.00614348	+	0.00322435i
$449$	−1.08472	−	0.267361i	−0.0511913	−	0.0126175i	0.213637	−	0.976913i	$-0.431469\pi$
$449$	−1.08472	−	0.267361i	−0.0511913	−	0.0126175i	−0.264828	+	0.964296i	$0.585315\pi$
$450$	−26.2398			−1.23696
$451$	27.1101			1.27656
$452$	−4.31185	−	1.06278i	−0.202812	−	0.0499887i
$453$	2.13998	+	3.10030i	0.100545	+	0.145665i
$454$	−12.6399	+	11.1980i	−0.593219	+	0.525547i
$455$	0.371656	−	0.0916049i	0.0174235	−	0.00429450i
$456$	1.19256	−	0.293940i	0.0558469	−	0.0137650i
$457$	8.99478	+	7.96868i	0.420758	+	0.372759i	0.846771	−	0.531958i	$-0.178544\pi$
$457$	8.99478	+	7.96868i	0.420758	+	0.372759i	−0.426013	+	0.904717i	$0.640082\pi$
$458$	−0.169007	−	1.39190i	−0.00789716	−	0.0650390i
$459$	−0.971631	+	1.40765i	−0.0453518	+	0.0657035i
$460$	8.10518	−	7.18056i	0.377906	−	0.334795i
$461$	28.4245	+	25.1819i	1.32386	+	1.17284i	0.971518	+	0.236965i	$0.0761526\pi$
$461$	28.4245	+	25.1819i	1.32386	+	1.17284i	0.352341	+	0.935872i	$0.385386\pi$
$462$	0.100795	+	0.265774i	0.00468941	+	0.0123649i
$463$	3.93345	+	32.3949i	0.182803	+	1.50552i	0.738568	+	0.674179i	$0.235503\pi$
$463$	3.93345	+	32.3949i	0.182803	+	1.50552i	−0.555764	+	0.831340i	$0.687574\pi$
$464$	4.59119	+	2.40964i	0.213141	+	0.111865i
$465$	2.27690	+	3.29866i	0.105589	+	0.152972i
$466$	12.8573	−	6.74801i	0.595601	−	0.312596i
$467$	21.3411	+	11.2007i	0.987550	+	0.518306i	0.879531	−	0.475842i	$-0.157857\pi$
$467$	21.3411	+	11.2007i	0.987550	+	0.518306i	0.108020	+	0.994149i	$0.465549\pi$
$468$	−1.50178	+	1.33046i	−0.0694200	+	0.0615007i
$469$	0.0276493	−	0.227712i	0.00127672	−	0.0105148i
$470$	−18.0842	−	16.0212i	−0.834160	−	0.739001i
$471$	3.27647	+	1.71963i	0.150972	+	0.0792362i
$472$	−3.05222	+	8.04804i	−0.140490	+	0.370441i
$473$	−45.3127			−2.08348
$474$	−2.89242	−	0.652422i	−0.132853	−	0.0299667i
$475$	−33.4441			−1.53452
$476$	0.0453409	−	0.119554i	0.00207820	−	0.00547975i
$477$	−11.4338	−	6.00094i	−0.523520	−	0.274764i
$478$	4.40026	+	3.89829i	0.201263	+	0.178304i
$479$	0.175893	−	1.44861i	0.00803676	−	0.0661887i	−0.988139	−	0.153564i	$-0.950925\pi$
$479$	0.175893	−	1.44861i	0.00803676	−	0.0661887i	0.996175	+	0.0873753i	$0.0278479\pi$
$480$	0.937084	−	0.830184i	0.0427718	−	0.0378925i
$481$	6.83057	+	3.58496i	0.311447	+	0.163460i
$482$	−9.11873	+	4.78588i	−0.415347	+	0.217991i
$483$	−0.0803002	−	0.116335i	−0.00365379	−	0.00529342i
$484$	20.0681	+	10.5325i	0.912184	+	0.478751i
$485$	−6.96556	−	57.3666i	−0.316290	−	2.60488i
$486$	−3.03747	−	8.00915i	−0.137782	−	0.363302i
$487$	−20.0254	−	17.7410i	−0.907439	−	0.803920i	0.0736892	−	0.997281i	$-0.476523\pi$
$487$	−20.0254	−	17.7410i	−0.907439	−	0.803920i	−0.981128	+	0.193361i	$0.938061\pi$
$488$	−10.1906	+	9.02806i	−0.461306	+	0.408681i
$489$	−1.01004	+	1.46329i	−0.0456754	+	0.0661722i
$490$	3.15670	+	25.9978i	0.142605	+	1.17446i
$491$	−25.0991	−	22.2359i	−1.13271	−	1.00349i	−0.999924	−	0.0123453i	$-0.996070\pi$
$491$	−25.0991	−	22.2359i	−1.13271	−	1.00349i	−0.132783	−	0.991145i	$-0.542391\pi$
$492$	−1.51344	+	0.373029i	−0.0682310	+	0.0168174i
$493$	−4.38340	+	1.08041i	−0.197418	+	0.0486592i
$494$	−1.91411	+	1.69575i	−0.0861199	+	0.0762956i
$495$	35.7307	+	51.7649i	1.60598	+	2.32666i
$496$	3.10856	+	0.766192i	0.139579	+	0.0344030i
$497$	0.886147			0.0397491
$498$	5.32389			0.238569
$499$	−27.2380	−	6.71356i	−1.21934	−	0.300540i	−0.423414	−	0.905936i	$-0.639169\pi$
$499$	−27.2380	−	6.71356i	−1.21934	−	0.300540i	−0.795924	+	0.605396i	$0.793015\pi$
$500$	−13.5694	+	7.12179i	−0.606844	+	0.318496i
$501$	−0.708250	−	5.83296i	−0.0316423	−	0.260598i
$502$	−9.18115	−	24.2087i	−0.409775	−	1.08049i
$503$	3.85122	−	5.57946i	0.171718	−	0.248776i	−0.727671	−	0.685927i	$-0.759397\pi$
$503$	3.85122	−	5.57946i	0.171718	−	0.248776i	0.899388	+	0.437151i	$0.144012\pi$
$504$	0.240984	+	0.349126i	0.0107343	+	0.0155513i
$505$	0.877309	−	2.31327i	0.0390397	−	0.102939i
$506$	−16.2549	−	4.00648i	−0.722619	−	0.178110i
$507$	1.48078	−	3.90449i	0.0657637	−	0.173405i
$508$	−16.4485	+	8.63285i	−0.729785	+	0.383021i
$509$	14.1457	−	20.4936i	0.626996	−	0.908361i	−0.372813	−	0.927907i	$-0.621607\pi$
$509$	14.1457	−	20.4936i	0.626996	−	0.908361i	0.999809	+	0.0195457i	$0.00622200\pi$
$510$	−0.131389	+	1.08208i	−0.00581800	+	0.0479155i
$511$	−1.01692	+	0.250648i	−0.0449859	+	0.0110880i
$512$	0.120537	−	0.992709i	0.00532702	−	0.0438719i
$513$	−2.56480	−	6.76282i	−0.113239	−	0.298586i
$514$	−9.85716	−	25.9912i	−0.434781	−	1.14642i
$515$	−6.29161	+	51.8161i	−0.277242	+	2.28329i
$516$	2.52961	−	0.623493i	0.111360	−	0.0274478i
$517$	−4.50243	+	37.0808i	−0.198016	+	1.63081i
$518$	0.926550	−	1.34234i	0.0407103	−	0.0589790i
$519$	2.22097	−	1.16565i	0.0974896	−	0.0511665i
$520$	−0.924285	+	2.43714i	−0.0405326	+	0.106876i
$521$	4.41510	+	1.08822i	0.193429	+	0.0476759i	0.334840	−	0.942275i	$-0.391318\pi$
$521$	4.41510	+	1.08822i	0.193429	+	0.0476759i	−0.141411	+	0.989951i	$0.545164\pi$
$522$	5.31138	−	14.0050i	0.232473	−	0.612981i
$523$	−15.5717	−	22.5595i	−0.680903	−	0.986458i	−0.999259	−	0.0384867i	$-0.987746\pi$
$523$	−15.5717	−	22.5595i	−0.680903	−	0.986458i	0.318356	−	0.947971i	$-0.396869\pi$
$524$	−3.24875	+	4.70663i	−0.141922	+	0.205610i
$525$	0.157802	+	0.416089i	0.00688703	+	0.0181596i
$526$	0.206380	+	1.69969i	0.00899858	+	0.0741100i
$527$	−2.46827	+	1.29545i	−0.107519	+	0.0564305i
$528$	−1.87932	−	0.463211i	−0.0817869	−	0.0201587i
$529$	−14.6744			−0.638017
$530$	−16.7756			−0.728684
$531$	24.1417	+	5.95040i	1.04766	+	0.258225i
$532$	0.307148	+	0.444981i	0.0133166	+	0.0192924i
$533$	2.42913	−	2.15202i	0.105217	−	0.0932143i
$534$	−1.88913	+	0.465629i	−0.0817508	+	0.0201498i
$535$	−42.8024	+	10.5499i	−1.85051	+	0.456110i
$536$	1.16917	+	1.03579i	0.0505003	+	0.0447393i
$537$	−0.577137	−	4.75315i	−0.0249053	−	0.205114i
$538$	15.8665	−	22.9866i	0.684054	−	0.991024i
$539$	30.3068	−	26.8494i	1.30540	−	1.15649i
$540$	−5.51822	−	4.88871i	−0.237466	−	0.210377i
$541$	13.0465	+	34.4007i	0.560911	+	1.47900i	0.852639	+	0.522500i	$0.175000\pi$
$541$	13.0465	+	34.4007i	0.560911	+	1.47900i	−0.291728	+	0.956501i	$0.594230\pi$
$542$	0.0297172	+	0.244743i	0.00127646	+	0.0105126i
$543$	−3.58803	−	1.88314i	−0.153977	−	0.0808133i
$544$	0.494603	+	0.716556i	0.0212059	+	0.0307221i
$545$	59.2875	−	31.1165i	2.53960	−	1.33288i
$546$	0.0301289	+	0.0158128i	0.00128940	+	0.000676727i
$547$	−7.88924	+	6.98926i	−0.337320	+	0.298839i	−0.814729	−	0.579842i	$-0.803114\pi$
$547$	−7.88924	+	6.98926i	−0.337320	+	0.298839i	0.477409	+	0.878681i	$0.341576\pi$
$548$	0.833149	−	6.86160i	0.0355904	−	0.293113i
$549$	29.4376	+	26.0795i	1.25637	+	1.11304i
$550$	46.6666	+	24.4925i	1.98987	+	1.04437i
$551$	6.76967	−	17.8501i	0.288397	−	0.760442i
$552$	0.962570			0.0409697
$553$	−0.182970	−	1.29238i	−0.00778069	−	0.0549576i
$554$	5.13325			0.218091
$555$	−4.93071	+	13.0012i	−0.209297	+	0.551871i
$556$	0.790278	+	0.414770i	0.0335152	+	0.0175902i
$557$	−0.960560	−	0.850982i	−0.0407002	−	0.0360573i	0.642527	−	0.766263i	$-0.277886\pi$
$557$	−0.960560	−	0.850982i	−0.0407002	−	0.0360573i	−0.683228	+	0.730205i	$0.739424\pi$
$558$	1.11478	−	9.18105i	0.0471925	−	0.388665i
$559$	−4.06012	+	3.59696i	−0.171725	+	0.152135i
$560$	0.487989	+	0.256116i	0.0206213	+	0.0108229i
$561$	1.49222	−	0.783179i	0.0630017	−	0.0330658i
$562$	−6.81512	−	9.87341i	−0.287479	−	0.416485i
$563$	12.3639	+	6.48910i	0.521078	+	0.273483i	0.704689	−	0.709516i	$-0.251086\pi$
$563$	12.3639	+	6.48910i	0.521078	+	0.273483i	−0.183611	+	0.982999i	$0.558779\pi$
$564$	−0.258873	−	2.13201i	−0.0109005	−	0.0897740i
$565$	5.90978	+	15.5828i	0.248626	+	0.655573i
$566$	13.3982	+	11.8698i	0.563168	+	0.498924i
$567$	0.880562	−	0.780110i	0.0369801	−	0.0327615i
$568$	−3.42781	+	4.96605i	−0.143828	+	0.208371i
$569$	−2.17051	−	17.8758i	−0.0909926	−	0.749391i	−0.964775	−	0.263075i	$-0.915263\pi$
$569$	−2.17051	−	17.8758i	−0.0909926	−	0.749391i	0.873783	−	0.486316i	$-0.161660\pi$
$570$	−3.45019	−	3.05660i	−0.144512	−	0.128027i
$571$	21.6718	−	5.34163i	0.906938	−	0.223540i	0.241858	−	0.970312i	$-0.422243\pi$
$571$	21.6718	−	5.34163i	0.906938	−	0.223540i	0.665081	+	0.746772i	$0.268397\pi$
$572$	3.91275	−	0.964405i	0.163600	−	0.0403238i
$573$	−4.14335	+	3.67069i	−0.173091	+	0.153345i
$574$	−0.389791	−	0.564709i	−0.0162695	−	0.0235705i
$575$	−25.4482	−	6.27242i	−1.06126	−	0.261578i
$576$	−2.88871			−0.120363
$577$	−0.00605236			−0.000251963			−0.000125981	−	1.00000i	$-0.500040\pi$
$577$	−0.00605236			−0.000251963			−0.000125981		1.00000i	$0.500040\pi$
$578$	15.7700	+	3.88694i	0.655944	+	0.161676i
$579$	5.56422	−	2.92033i	0.231241	−	0.121365i
$580$	−2.34549	−	19.3169i	−0.0973913	−	0.802089i
$581$	0.831066	+	2.19134i	0.0344784	+	0.0909122i
$582$	2.91812	−	4.22762i	0.120960	−	0.175241i
$583$	14.7334	+	21.3450i	0.610194	+	0.884019i
$584$	2.52902	−	6.66847i	0.104651	−	0.275943i
$585$	7.31069	+	1.80192i	0.302260	+	0.0745004i
$586$	2.16655	−	5.71272i	0.0894992	−	0.235990i
$587$	−21.6724	+	11.3746i	−0.894517	+	0.469479i	−0.848338	−	0.529455i	$-0.822397\pi$
$587$	−21.6724	+	11.3746i	−0.894517	+	0.469479i	−0.0461784	+	0.998933i	$0.514704\pi$
$588$	−1.32245	+	1.91590i	−0.0545370	+	0.0790105i
$589$	1.42085	−	11.7018i	0.0585453	−	0.482164i
$590$	31.3632	−	7.73033i	1.29120	−	0.318253i
$591$	0.286296	−	2.35786i	0.0117766	−	0.0969894i
$592$	3.93849	+	10.3849i	0.161871	+	0.426818i
$593$	−10.6152	−	27.9900i	−0.435915	−	1.14941i	−0.955499	−	0.294994i	$-0.904682\pi$
$593$	−10.6152	−	27.9900i	−0.435915	−	1.14941i	0.519584	−	0.854419i	$-0.326087\pi$
$594$	−1.37387	+	11.3149i	−0.0563708	+	0.464255i
$595$	−0.465902	+	0.114835i	−0.0191001	+	0.00470776i
$596$	0.702460	−	5.78528i	0.0287739	−	0.236974i
$597$	2.75368	−	3.98939i	0.112701	−	0.163275i
$598$	−1.77452	+	0.931338i	−0.0725654	+	0.0380853i
$599$	−4.52522	+	11.9320i	−0.184895	+	0.487529i	−0.995129	−	0.0985774i	$-0.968571\pi$
$599$	−4.52522	+	11.9320i	−0.184895	+	0.487529i	0.810234	+	0.586107i	$0.199340\pi$
$600$	−2.94221	−	0.725189i	−0.120115	−	0.0296057i
$601$	7.26794	−	19.1640i	0.296466	−	0.781715i	−0.701170	−	0.712994i	$-0.747339\pi$
$601$	7.26794	−	19.1640i	0.296466	−	0.781715i	0.997636	−	0.0687216i	$-0.0218920\pi$
$602$	0.651509	+	0.943874i	0.0265535	+	0.0384694i
$603$	2.56319	−	3.71342i	0.104381	−	0.151222i
$604$	−4.00436	−	10.5586i	−0.162935	−	0.429625i
$605$	−10.2521	−	84.4338i	−0.416808	−	3.43272i
$606$	0.194735	−	0.102205i	0.00791055	−	0.00415178i
$607$	−35.6034	−	8.77544i	−1.44510	−	0.356184i	−0.562688	−	0.826669i	$-0.690233\pi$
$607$	−35.6034	−	8.77544i	−1.44510	−	0.356184i	−0.882408	+	0.470485i	$0.844079\pi$
$608$	−3.68183			−0.149318
$609$	−0.254021			−0.0102934
$610$	49.6078	+	12.2272i	2.00856	+	0.495066i
$611$	2.54008	+	3.67994i	0.102760	+	0.148874i
$612$	1.88261	−	1.66785i	0.0761001	−	0.0674188i
$613$	32.9318	−	8.11697i	1.33010	−	0.327841i	0.490691	−	0.871334i	$-0.336745\pi$
$613$	32.9318	−	8.11697i	1.33010	−	0.327841i	0.839414	+	0.543493i	$0.182898\pi$
$614$	−23.3164	+	5.74697i	−0.940971	+	0.231929i
$615$	4.37850	+	3.87901i	0.176558	+	0.156417i
$616$	−0.102704	−	0.845847i	−0.00413808	−	0.0340801i
$617$	4.96059	−	7.18665i	0.199706	−	0.289324i	−0.710317	−	0.703882i	$-0.751448\pi$
$617$	4.96059	−	7.18665i	0.199706	−	0.289324i	0.910023	+	0.414558i	$0.136064\pi$
$618$	−3.47303	+	3.07684i	−0.139706	+	0.123769i
$619$	−34.0148	−	30.1344i	−1.36717	−	1.21121i	−0.953727	−	0.300675i	$-0.902788\pi$
$619$	−34.0148	−	30.1344i	−1.36717	−	1.21121i	−0.413441	−	0.910531i	$-0.635673\pi$
$620$	−4.26057	−	11.2342i	−0.171108	−	0.451176i
$621$	−0.683238	−	5.62697i	−0.0274174	−	0.225803i
$622$	−1.58330	−	0.830979i	−0.0634844	−	0.0333192i
$623$	−0.486552	−	0.704892i	−0.0194933	−	0.0282409i
$624$	−0.205162	+	0.107677i	−0.00821304	+	0.00431054i
$625$	10.7080	+	5.62001i	0.428321	+	0.224800i
$626$	−8.97958	+	7.95522i	−0.358896	+	0.317954i
$627$	−0.858995	+	7.07446i	−0.0343050	+	0.282527i
$628$	−8.30259	−	7.35545i	−0.331309	−	0.293515i
$629$	−8.56270	−	4.49405i	−0.341417	−	0.179190i
$630$	0.564536	−	1.48856i	0.0224917	−	0.0593056i
$631$	−26.3519			−1.04905			−0.524526	−	0.851394i	$-0.675758\pi$
$631$	−26.3519			−1.04905			−0.524526	+	0.851394i	$0.675758\pi$
$632$	7.95039	+	3.97383i	0.316249	+	0.158071i
$633$	4.23578			0.168357
$634$	−9.92298	+	26.1648i	−0.394092	+	1.03914i
$635$	61.7281	+	32.3974i	2.44961	+	1.28565i
$636$	−1.11620	−	0.988870i	−0.0442603	−	0.0392112i
$637$	0.584228	−	4.81155i	0.0231479	−	0.190640i
$638$	−22.5185	+	19.9497i	−0.891517	+	0.789815i
$639$	15.4344	+	8.10061i	0.610577	+	0.320455i
$640$	−3.32295	+	1.74402i	−0.131351	+	0.0689383i
$641$	−3.22613	−	4.67386i	−0.127425	−	0.184606i	0.754079	−	0.656784i	$-0.228084\pi$
$641$	−3.22613	−	4.67386i	−0.127425	−	0.184606i	−0.881504	+	0.472177i	$0.843468\pi$
$642$	−3.46985	−	1.82112i	−0.136944	−	0.0718737i
$643$	3.77842	+	31.1181i	0.149006	+	1.22718i	0.854874	+	0.518835i	$0.173634\pi$
$643$	3.77842	+	31.1181i	0.149006	+	1.22718i	−0.705868	+	0.708344i	$0.749443\pi$
$644$	0.150259	+	0.396199i	0.00592102	+	0.0156124i
$645$	−7.31838	−	6.48352i	−0.288161	−	0.255288i
$646$	2.39950	−	2.12577i	0.0944071	−	0.0836374i
$647$	−2.09396	+	3.03362i	−0.0823220	+	0.119264i	−0.861982	−	0.506940i	$-0.830777\pi$
$647$	−2.09396	+	3.03362i	−0.0823220	+	0.119264i	0.779660	+	0.626204i	$0.215392\pi$
$648$	0.965594	+	7.95238i	0.0379321	+	0.312399i
$649$	−37.3811	−	33.1168i	−1.46734	−	1.29995i
$650$	6.12568	−	1.50984i	0.240269	−	0.0592210i
$651$	−0.152290	+	0.0375360i	−0.00596870	+	0.00147115i
$652$	3.98945	−	3.53434i	0.156239	−	0.138416i
$653$	10.4359	+	15.1190i	0.408389	+	0.591654i	0.972172	−	0.234269i	$-0.0752697\pi$
$653$	10.4359	+	15.1190i	0.408389	+	0.591654i	−0.563782	+	0.825923i	$0.690654\pi$
$654$	5.77906	+	1.42441i	0.225979	+	0.0556988i
$655$	21.4622			0.838598
$656$	4.67248			0.182430
$657$	−20.0034	−	4.93040i	−0.780408	−	0.192353i
$658$	0.837139	−	0.439364i	0.0326351	−	0.0171282i
$659$	−4.20063	−	34.5953i	−0.163633	−	1.34764i	−0.810814	−	0.585304i	$-0.800975\pi$
$659$	−4.20063	−	34.5953i	−0.163633	−	1.34764i	0.647180	−	0.762337i	$-0.275948\pi$
$660$	2.57578	+	6.79177i	0.100262	+	0.264369i
$661$	−2.07228	+	3.00222i	−0.0806024	+	0.116773i	−0.861211	−	0.508247i	$-0.830294\pi$
$661$	−2.07228	+	3.00222i	−0.0806024	+	0.116773i	0.780609	+	0.625020i	$0.214909\pi$
$662$	16.0309	+	23.2248i	0.623060	+	0.902659i
$663$	0.0715373	−	0.188628i	0.00277828	−	0.00732572i
$664$	−15.4952	−	3.81923i	−0.601331	−	0.148215i
$665$	0.719534	−	1.89726i	0.0279023	−	0.0735724i
$666$	28.4090	−	14.9102i	1.10083	−	0.577758i
$667$	8.49894	−	12.3128i	0.329080	−	0.476755i
$668$	−2.12306	+	17.4850i	−0.0821437	+	0.676514i
$669$	−0.478776	+	0.118008i	−0.0185105	+	0.00456244i
$670$	0.706567	−	5.81910i	0.0272971	−	0.224812i
$671$	−28.0110	−	73.8590i	−1.08135	−	2.85129i
$672$	0.0173722	+	0.0458068i	0.000670148	+	0.00176704i
$673$	1.21632	−	10.0173i	0.0468856	−	0.386138i	−0.950310	−	0.311304i	$-0.899234\pi$
$673$	1.21632	−	10.0173i	0.0468856	−	0.386138i	0.997196	−	0.0748339i	$-0.0238426\pi$
$674$	−4.20491	+	1.03642i	−0.161967	+	0.0399213i
$675$	−2.15090	+	17.7142i	−0.0827881	+	0.681821i
$676$	−7.11081	+	10.3018i	−0.273493	+	0.396222i
$677$	−18.1714	+	9.53707i	−0.698383	+	0.366540i	−0.776251	−	0.630424i	$-0.782881\pi$
$677$	−18.1714	+	9.53707i	−0.698383	+	0.366540i	0.0778681	+	0.996964i	$0.475189\pi$
$678$	−0.525338	+	1.38520i	−0.0201755	+	0.0531984i
$679$	2.19564	+	0.541176i	0.0842608	+	0.0207684i
$680$	1.15867	−	3.05516i	0.0444330	−	0.117160i
$681$	3.20013	+	4.63619i	0.122629	+	0.177659i
$682$	−10.5523	+	15.2877i	−0.404069	+	0.585395i
$683$	−2.96028	−	7.80563i	−0.113272	−	0.298674i	0.866377	−	0.499390i	$-0.166442\pi$
$683$	−2.96028	−	7.80563i	−0.113272	−	0.298674i	−0.979650	+	0.200716i	$0.935673\pi$
$684$	1.28200	+	10.5582i	0.0490184	+	0.403703i
$685$	−22.9682	+	12.0546i	−0.877569	+	0.460584i
$686$	−1.99314	−	0.491265i	−0.0760985	−	0.0187566i
$687$	−0.467745			−0.0178456
$688$	−7.80974			−0.297743
$689$	3.01453	+	0.743014i	0.114844	+	0.0283066i
$690$	−2.05204	−	2.97290i	−0.0781199	−	0.113176i
$691$	−0.354283	+	0.313867i	−0.0134775	+	0.0119401i	−0.669835	−	0.742510i	$-0.733635\pi$
$691$	−0.354283	+	0.313867i	−0.0134775	+	0.0119401i	0.656357	+	0.754450i	$0.272097\pi$
$692$	−7.30035	+	1.79938i	−0.277518	+	0.0684020i
$693$	−2.38983	+	0.589041i	−0.0907822	+	0.0223758i
$694$	4.57216	+	4.05058i	0.173557	+	0.153758i
$695$	−0.403727	−	3.32499i	−0.0153142	−	0.126124i
$696$	0.982609	−	1.42355i	0.0372457	−	0.0539597i
$697$	−3.04512	+	2.69774i	−0.115342	+	0.102184i
$698$	−15.5529	−	13.7786i	−0.588685	−	0.521530i
$699$	−1.71771	−	4.52924i	−0.0649699	−	0.171311i
$700$	−0.160791	−	1.32423i	−0.00607733	−	0.0500513i
$701$	8.96963	+	4.70763i	0.338778	+	0.177805i	0.625529	−	0.780201i	$-0.284883\pi$
$701$	8.96963	+	4.70763i	0.338778	+	0.177805i	−0.286751	+	0.958005i	$0.592575\pi$
$702$	0.775081	+	1.12290i	0.0292536	+	0.0423811i
$703$	36.2089	−	19.0039i	1.36565	−	0.716746i
$704$	5.13748	+	2.69636i	0.193626	+	0.101623i
$705$	−6.03285	+	5.34464i	−0.227210	+	0.201291i
$706$	3.40677	−	28.0573i	0.128216	−	1.05595i
$707$	0.0724663	+	0.0641996i	0.00272538	+	0.00241447i
$708$	2.54251	+	1.33441i	0.0955532	+	0.0501502i
$709$	−11.3289	+	29.8718i	−0.425465	+	1.12186i	0.535340	+	0.844637i	$0.320183\pi$
$709$	−11.3289	+	29.8718i	−0.425465	+	1.12186i	−0.960805	+	0.277223i	$0.910586\pi$
$710$	22.6452			0.849858
$711$	8.62728	−	24.1826i	0.323548	−	0.906918i
$712$	5.83237			0.218577
$713$	3.27581	−	8.63761i	0.122680	−	0.323481i
$714$	−0.0377691	−	0.0198227i	−0.00141347	−	0.000741848i
$715$	−11.3199	−	10.0286i	−0.423340	−	0.375047i
$716$	−1.73003	+	14.2481i	−0.0646544	+	0.532477i
$717$	1.46792	−	1.30046i	0.0548205	−	0.0485667i
$718$	7.59722	+	3.98733i	0.283526	+	0.148806i
$719$	−0.821183	+	0.430990i	−0.0306250	+	0.0160732i	−0.479966	−	0.877287i	$-0.659351\pi$
$719$	−0.821183	+	0.430990i	−0.0306250	+	0.0160732i	0.449341	+	0.893360i	$0.351659\pi$
$720$	6.15826	+	8.92179i	0.229505	+	0.332495i
$721$	−1.80859	−	0.949221i	−0.0673554	−	0.0353508i
$722$	−0.656216	−	5.40442i	−0.0244218	−	0.201132i
$723$	1.21825	+	3.21226i	0.0453072	+	0.119465i
$724$	9.09206	+	8.05487i	0.337904	+	0.299357i
$725$	−35.2543	+	31.2326i	−1.30931	+	1.15995i
$726$	4.29497	−	6.22234i	0.159401	−	0.230933i
$727$	3.86157	+	31.8029i	0.143218	+	1.17950i	0.870147	+	0.492792i	$0.164024\pi$
$727$	3.86157	+	31.8029i	0.143218	+	1.17950i	−0.726930	+	0.686712i	$0.759053\pi$
$728$	−0.0763466	−	0.0676371i	−0.00282959	−	0.00250680i
$729$	20.5595	−	5.06747i	0.761464	−	0.187684i
$730$	−25.9870	+	6.40522i	−0.961822	+	0.237068i
$731$	5.08971	−	4.50909i	0.188250	−	0.166775i
$732$	2.58002	+	3.73780i	0.0953602	+	0.138153i
$733$	−36.4138	−	8.97519i	−1.34497	−	0.331506i	−0.499866	−	0.866103i	$-0.666617\pi$
$733$	−36.4138	−	8.97519i	−1.34497	−	0.331506i	−0.845107	+	0.534597i	$0.820464\pi$
$734$	18.5686			0.685381
$735$	8.73652			0.322251
$736$	−2.80157	−	0.690525i	−0.103267	−	0.0254531i
$737$	−8.02469	+	4.21168i	−0.295593	+	0.155139i
$738$	−1.62694	−	13.3990i	−0.0598884	−	0.493225i
$739$	11.8935	+	31.3606i	0.437510	+	1.15362i	0.954653	+	0.297720i	$0.0962260\pi$
$739$	11.8935	+	31.3606i	0.437510	+	1.15362i	−0.517144	+	0.855899i	$0.673005\pi$
$740$	23.6777	−	34.3030i	0.870408	−	1.26100i
$741$	0.484608	+	0.702076i	0.0178025	+	0.0257914i
$742$	0.232783	−	0.613800i	0.00854575	−	0.0225333i
$743$	7.55097	+	1.86115i	0.277018	+	0.0682789i	0.375377	−	0.926872i	$-0.377513\pi$
$743$	7.55097	+	1.86115i	0.277018	+	0.0682789i	−0.0983590	+	0.995151i	$0.531359\pi$
$744$	0.378735	−	0.998642i	0.0138851	−	0.0366120i
$745$	−19.3654	+	10.1637i	−0.709492	+	0.372370i
$746$	−5.15018	+	7.46133i	−0.188562	+	0.273179i
$747$	−5.55684	+	45.7647i	−0.203314	+	1.67444i
$748$	−4.90496	+	1.20896i	−0.179343	+	0.0442041i
$749$	0.207934	−	1.71249i	0.00759773	−	0.0625729i
$750$	1.81286	+	4.78012i	0.0661962	+	0.174545i
$751$	9.03937	+	23.8349i	0.329851	+	0.869747i	0.992658	+	0.120956i	$0.0385960\pi$
$751$	9.03937	+	23.8349i	0.329851	+	0.869747i	−0.662806	+	0.748791i	$0.730635\pi$
$752$	−0.776002	+	6.39096i	−0.0282979	+	0.233054i
$753$	−8.38629	+	2.06704i	−0.305613	+	0.0753269i
$754$	−0.434093	+	3.57508i	−0.0158087	+	0.130197i
$755$	−24.0737	+	34.8767i	−0.876131	+	1.26929i
$756$	0.255445	−	0.134068i	0.00929046	−	0.00487601i
$757$	−2.17017	+	5.72227i	−0.0788762	+	0.207980i	−0.968654	−	0.248415i	$-0.920090\pi$
$757$	−2.17017	+	5.72227i	−0.0788762	+	0.207980i	0.889777	+	0.456395i	$0.150859\pi$
$758$	−1.52820	−	0.376667i	−0.0555067	−	0.0136812i
$759$	−1.98043	+	5.22198i	−0.0718852	+	0.189546i
$760$	7.84907	+	11.3713i	0.284716	+	0.412482i
$761$	18.9717	−	27.4852i	0.687722	−	0.996337i	−0.311219	−	0.950338i	$-0.600737\pi$
$761$	18.9717	−	27.4852i	0.687722	−	0.996337i	0.998941	−	0.0459993i	$-0.0146472\pi$
$762$	2.19750	+	5.79433i	0.0796070	+	0.209906i
$763$	0.315824	+	2.60105i	0.0114336	+	0.0941642i
$764$	14.6925	−	7.71123i	0.531557	−	0.278983i
$765$	−9.16458	−	2.25887i	−0.331346	−	0.0816695i
$766$	−16.8691			−0.609507
$767$	−5.97827			−0.215863
$768$	−0.323905	−	0.0798354i	−0.0116879	−	0.00288081i
$769$	−7.84014	−	11.3584i	−0.282723	−	0.409594i	0.655734	−	0.754992i	$-0.272359\pi$
$769$	−7.84014	−	11.3584i	−0.282723	−	0.409594i	−0.938456	+	0.345398i	$0.887744\pi$
$770$	−2.39345	+	2.12041i	−0.0862539	+	0.0764143i
$771$	−9.00377	+	2.21923i	−0.324263	+	0.0799237i
$772$	−18.2897	+	4.50800i	−0.658260	+	0.162246i
$773$	−1.41428	−	1.25294i	−0.0508682	−	0.0450653i	0.637306	−	0.770611i	$-0.280049\pi$
$773$	−1.41428	−	1.25294i	−0.0508682	−	0.0450653i	−0.688174	+	0.725546i	$0.741587\pi$
$774$	2.71932	+	22.3956i	0.0977438	+	0.804993i
$775$	−16.5204	+	23.9339i	−0.593430	+	0.859732i
$776$	−11.5260	+	10.2111i	−0.413759	+	0.366559i
$777$	−0.407280	−	0.360819i	−0.0146111	−	0.0129443i
$778$	9.73824	+	25.6776i	0.349133	+	0.920588i
$779$	−2.07363	−	17.0778i	−0.0742953	−	0.611877i
$780$	0.769932	+	0.404092i	0.0275680	+	0.0144688i
$781$	−19.8884	−	28.8134i	−0.711664	−	1.03102i
$782$	2.22451	−	1.16751i	0.0795483	−	0.0417501i
$783$	−9.01925	−	4.73367i	−0.322322	−	0.169167i
$784$	5.22343	−	4.62756i	0.186551	−	0.165270i
$785$	−5.01754	+	41.3232i	−0.179084	+	1.47489i
$786$	1.42804	+	1.26513i	0.0509365	+	0.0451258i
$787$	14.4711	+	7.59504i	0.515840	+	0.270734i	0.702491	−	0.711693i	$-0.252071\pi$
$787$	14.4711	+	7.59504i	0.515840	+	0.270734i	−0.186651	+	0.982426i	$0.559763\pi$
$788$	−2.52474	+	6.65719i	−0.0899401	+	0.237153i
$789$	0.571179			0.0203345
$790$	−4.67574	−	33.0263i	−0.166355	−	1.17502i
$791$	−0.652164			−0.0231883
$792$	5.94336	−	15.6714i	0.211188	−	0.556858i
$793$	−8.37283	−	4.39440i	−0.297328	−	0.156050i
$794$	−6.69340	−	5.92984i	−0.237540	−	0.210442i
$795$	−0.674560	+	5.55550i	−0.0239242	+	0.197033i
$796$	−10.8765	+	9.63574i	−0.385507	+	0.341530i
$797$	−16.4631	−	8.64049i	−0.583152	−	0.306062i	0.147228	−	0.989103i	$-0.452965\pi$
$797$	−16.4631	−	8.64049i	−0.583152	−	0.306062i	−0.730380	+	0.683041i	$0.760657\pi$
$798$	0.159713	−	0.0838241i	0.00565380	−	0.00296734i
$799$	−3.18420	−	4.61311i	−0.112649	−	0.163200i
$800$	8.04309	+	4.22134i	0.284366	+	0.149247i
$801$	−2.03081	−	16.7252i	−0.0717550	−	0.590956i
$802$	−4.90848	−	12.9426i	−0.173325	−	0.457019i
$803$	30.9734	+	27.4400i	1.09303	+	0.968337i
$804$	0.390032	−	0.345538i	0.0137554	−	0.0121862i
$805$	0.903335	−	1.30871i	0.0318384	−	0.0461258i
$806$	0.268034	+	2.20746i	0.00944111	+	0.0777545i
$807$	−6.97439	−	6.17877i	−0.245510	−	0.217503i
$808$	−0.640096	+	0.157769i	−0.0225185	+	0.00555031i
$809$	35.2940	−	8.69919i	1.24087	−	0.305847i	0.436353	−	0.899775i	$-0.356270\pi$
$809$	35.2940	−	8.69919i	1.24087	−	0.305847i	0.804518	+	0.593928i	$0.202424\pi$
$810$	22.5024	−	19.9354i	0.790655	−	0.700460i
$811$	−16.5714	−	24.0078i	−0.581901	−	0.843028i	0.415894	−	0.909413i	$-0.363469\pi$
$811$	−16.5714	−	24.0078i	−0.581901	−	0.843028i	−0.997794	+	0.0663849i	$0.978853\pi$
$812$	0.739330	+	0.182228i	0.0259454	+	0.00639497i
$813$	0.0822456			0.00288448
$814$	−64.4419			−2.25869
$815$	−19.4207	−	4.78676i	−0.680276	−	0.167673i
$816$	0.257188	−	0.134982i	0.00900337	−	0.00472533i
$817$	3.46593	+	28.5445i	0.121257	+	0.998645i
$818$	−5.80273	−	15.3005i	−0.202888	−	0.534970i
$819$	−0.167376	+	0.242486i	−0.00584859	+	0.00847315i
$820$	−9.96096	−	14.4309i	−0.347852	−	0.503950i
$821$	6.05904	−	15.9764i	0.211462	−	0.557580i	−0.786755	−	0.617265i	$-0.788241\pi$
$821$	6.05904	−	15.9764i	0.211462	−	0.557580i	0.998217	+	0.0596856i	$0.0190098\pi$
$822$	−2.23883	−	0.551822i	−0.0780881	−	0.0192470i
$823$	−15.7814	+	41.6120i	−0.550104	+	1.45050i	0.315088	+	0.949062i	$0.397966\pi$
$823$	−15.7814	+	41.6120i	−0.550104	+	1.45050i	−0.865192	+	0.501441i	$0.832803\pi$
$824$	12.3155	−	6.46369i	0.429032	−	0.225173i
$825$	9.98761	−	14.4695i	0.347724	−	0.503765i
$826$	−0.152362	+	1.25481i	−0.00530135	+	0.0436605i
$827$	−11.9989	+	2.95746i	−0.417242	+	0.102841i	−0.442347	−	0.896844i	$-0.645854\pi$
$827$	−11.9989	+	2.95746i	−0.417242	+	0.102841i	0.0251053	+	0.999685i	$0.492008\pi$
$828$	−1.00469	+	8.27436i	−0.0349154	+	0.287554i
$829$	18.1393	+	47.8295i	0.630005	+	1.66119i	0.744386	+	0.667750i	$0.232742\pi$
$829$	18.1393	+	47.8295i	0.630005	+	1.66119i	−0.114381	+	0.993437i	$0.536488\pi$
$830$	21.2376	+	55.9990i	0.737168	+	1.94375i
$831$	0.206412	−	1.69996i	0.00716036	−	0.0589709i
$832$	0.674370	−	0.166217i	0.0233796	−	0.00576255i
$833$	−0.732379	+	6.03169i	−0.0253754	+	0.208986i
$834$	0.169135	−	0.245035i	0.00585668	−	0.00848487i
$835$	58.5284	−	30.7181i	2.02546	−	1.06304i
$836$	7.57516	−	19.9741i	0.261993	−	0.690818i
$837$	−6.10667	−	1.50516i	−0.211077	−	0.0520259i
$838$	3.00448	−	7.92215i	0.103788	−	0.273666i
$839$	6.98298	+	10.1166i	0.241079	+	0.349264i	0.924782	−	0.380497i	$-0.124247\pi$
$839$	6.98298	+	10.1166i	0.241079	+	0.349264i	−0.683703	+	0.729760i	$0.739632\pi$
$840$	0.104439	−	0.151307i	0.00360350	−	0.00522058i
$841$	0.749830	+	1.97714i	0.0258562	+	0.0681773i
$842$	1.92741	+	15.8737i	0.0664230	+	0.547043i
$843$	−3.54378	+	1.85992i	−0.122054	+	0.0640591i
$844$	−12.3283	−	3.03864i	−0.424356	−	0.104594i
$845$	46.9761			1.61603
$846$	18.5972			0.639386
$847$	3.23160	+	0.796518i	0.111039	+	0.0273687i
$848$	2.53933	+	3.67885i	0.0872009	+	0.126332i
$849$	4.46962	−	3.95974i	0.153397	−	0.135898i
$850$	−7.67906	+	1.89272i	−0.263390	+	0.0649197i
$851$	31.1162	−	7.66945i	1.06665	−	0.262905i
$852$	1.50675	+	1.33487i	0.0516205	+	0.0457317i
$853$	−4.74053	−	39.0417i	−0.162313	−	1.33676i	−0.815143	−	0.579260i	$-0.803342\pi$
$853$	−4.74053	−	39.0417i	−0.162313	−	1.33676i	0.652830	−	0.757504i	$-0.273581\pi$
$854$	−1.13576	+	1.64543i	−0.0388648	+	0.0563053i
$855$	29.8760	−	26.4678i	1.02174	−	0.905180i
$856$	8.79260	+	7.78956i	0.300525	+	0.266242i
$857$	1.17596	+	3.10075i	0.0401700	+	0.105920i	0.953600	−	0.301076i	$-0.0973457\pi$
$857$	1.17596	+	3.10075i	0.0401700	+	0.105920i	−0.913430	+	0.406995i	$0.866576\pi$
$858$	−0.162044	−	1.33455i	−0.00553208	−	0.0455608i
$859$	18.4275	+	9.67151i	0.628739	+	0.329988i	0.748817	−	0.662777i	$-0.230622\pi$
$859$	18.4275	+	9.67151i	0.628739	+	0.329988i	−0.120078	+	0.992764i	$0.538315\pi$
$860$	16.6491	+	24.1204i	0.567729	+	0.822498i
$861$	−0.202687	+	0.106378i	−0.00690754	+	0.00362536i
$862$	4.88055	+	2.56151i	0.166232	+	0.0872455i
$863$	−13.2476	+	11.7364i	−0.450955	+	0.399511i	−0.857798	−	0.513987i	$-0.828168\pi$
$863$	−13.2476	+	11.7364i	−0.450955	+	0.399511i	0.406843	+	0.913498i	$0.366630\pi$
$864$	−0.236790	+	1.95014i	−0.00805577	+	0.0663452i
$865$	21.1205	+	18.7112i	0.718120	+	0.636199i
$866$	19.1168	+	10.0333i	0.649616	+	0.340945i
$867$	1.92135	−	5.06618i	0.0652524	−	0.172057i
$868$	0.470168			0.0159585
$869$	−37.9157	+	34.9552i	−1.28620	+	1.18577i
$870$	−6.49141			−0.220079
$871$	−0.384705	+	1.01438i	−0.0130352	+	0.0343711i
$872$	−15.7982	−	8.29152i	−0.534993	−	0.280786i
$873$	33.2953	+	29.4971i	1.12688	+	0.998325i
$874$	−1.28053	+	10.5462i	−0.0433147	+	0.356729i
$875$	−1.68453	+	1.49237i	−0.0569476	+	0.0504512i
$876$	−2.10668	−	1.10567i	−0.0711781	−	0.0373571i
$877$	−3.22356	+	1.69186i	−0.108852	+	0.0571299i	−0.518270	−	0.855217i	$-0.673424\pi$
$877$	−3.22356	+	1.69186i	−0.108852	+	0.0571299i	0.409418	+	0.912347i	$0.365732\pi$
$878$	−14.4720	−	20.9664i	−0.488408	−	0.707581i
$879$	−1.80474	−	0.947201i	−0.0608724	−	0.0319483i
$880$	−2.62457	−	21.6153i	−0.0884744	−	0.728652i
$881$	4.55858	+	12.0200i	0.153583	+	0.404964i	0.989620	−	0.143708i	$-0.0459027\pi$
$881$	4.55858	+	12.0200i	0.153583	+	0.404964i	−0.836038	+	0.548672i	$0.815133\pi$
$882$	−15.0890	−	13.3677i	−0.508073	−	0.450113i
$883$	−17.5180	+	15.5196i	−0.589529	+	0.522277i	−0.904304	−	0.426889i	$-0.859609\pi$
$883$	−17.5180	+	15.5196i	−0.589529	+	0.522277i	0.314775	+	0.949166i	$0.398071\pi$
$884$	−0.343528	+	0.497686i	−0.0115541	+	0.0167390i
$885$	−1.29888	−	10.6973i	−0.0436615	−	0.359585i
$886$	−21.3551	−	18.9189i	−0.717437	−	0.635594i
$887$	−2.44763	+	0.603288i	−0.0821835	+	0.0202564i	−0.280193	−	0.959944i	$-0.590398\pi$
$887$	−2.44763	+	0.603288i	−0.0821835	+	0.0202564i	0.198009	+	0.980200i	$0.436552\pi$
$888$	3.59751	−	0.886707i	0.120725	−	0.0297559i
$889$	−2.04195	+	1.80901i	−0.0684847	+	0.0606721i
$890$	−12.4337	−	18.0133i	−0.416777	−	0.603806i
$891$	−45.1286	−	11.1232i	−1.51187	−	0.372641i
$892$	1.47814			0.0494917
$893$	23.7032			0.793199
$894$	−1.88764	−	0.465262i	−0.0631322	−	0.0155607i
$895$	47.6935	−	25.0315i	1.59422	−	0.836709i
$896$	−0.0177013	−	0.145783i	−0.000591360	−	0.00487028i
$897$	0.237073	+	0.625110i	0.00791564	+	0.0208718i
$898$	0.634635	−	0.919427i	0.0211780	−	0.0306817i
$899$	−9.43024	−	13.6621i	−0.314516	−	0.455655i
$900$	9.30476	−	24.5346i	0.310159	−	0.817821i
$901$	−3.77897	−	0.931431i	−0.125896	−	0.0310305i
$902$	−9.61336	+	25.3484i	−0.320090	+	0.844008i
$903$	0.338777	−	0.177804i	0.0112738	−	0.00591694i
$904$	2.52271	−	3.65478i	0.0839042	−	0.121556i
$905$	5.49465	−	45.2525i	0.182648	−	1.50424i
$906$	−3.65768	+	0.901537i	−0.121518	+	0.0299516i
$907$	−3.46778	+	28.5598i	−0.115146	+	0.948311i	0.814578	+	0.580054i	$0.196969\pi$
$907$	−3.46778	+	28.5598i	−0.115146	+	0.948311i	−0.929724	+	0.368257i	$0.879955\pi$
$908$	−5.98811	−	15.7894i	−0.198722	−	0.523988i
$909$	0.675306	+	1.78064i	0.0223985	+	0.0590600i
$910$	−0.0461389	+	0.379988i	−0.00152949	+	0.0125965i
$911$	29.7602	−	7.33522i	0.985998	−	0.243027i	0.286828	−	0.957982i	$-0.407399\pi$
$911$	29.7602	−	7.33522i	0.985998	−	0.243027i	0.699170	+	0.714955i	$0.253553\pi$
$912$	−0.148050	+	1.21930i	−0.00490241	+	0.0403750i
$913$	52.6000	−	76.2043i	1.74081	−	2.52199i
$914$	−10.6404	+	5.58453i	−0.351954	+	0.184720i
$915$	6.04402	−	15.9368i	0.199809	−	0.526853i
$916$	1.36138	+	0.335549i	0.0449811	+	0.0110868i
$917$	−0.297817	+	0.785279i	−0.00983479	+	0.0259322i
$918$	−0.971631	−	1.40765i	−0.0320686	−	0.0464594i
$919$	−27.0413	+	39.1761i	−0.892010	+	1.29230i	0.0636945	+	0.997969i	$0.479712\pi$
$919$	−27.0413	+	39.1761i	−0.892010	+	1.29230i	−0.955704	+	0.294329i	$0.904904\pi$
$920$	3.83980	+	10.1247i	0.126595	+	0.333803i
$921$	0.965630	+	7.95268i	0.0318186	+	0.262050i
$922$	−33.6249	+	17.6477i	−1.10738	+	0.581196i
$923$	−4.06928	−	1.00299i	−0.133942	−	0.0330137i
$924$	−0.284246			−0.00935100
$925$	−100.888			−3.31719
$926$	−31.6846	−	7.80955i	−1.04122	−	0.256638i
$927$	−22.8238	−	33.0660i	−0.749633	−	1.08603i
$928$	−3.88112	+	3.43837i	−0.127404	+	0.112870i
$929$	15.1935	−	3.74486i	0.498482	−	0.122865i	0.0179447	−	0.999839i	$-0.494288\pi$
$929$	15.1935	−	3.74486i	0.498482	−	0.122865i	0.480538	+	0.876974i	$0.340442\pi$
$930$	−3.89171	+	0.959219i	−0.127614	+	0.0314540i
$931$	−19.2318	−	17.0379i	−0.630297	−	0.558394i
$932$	1.75025	+	14.4146i	0.0573314	+	0.472167i
$933$	−0.338858	+	0.490920i	−0.0110937	+	0.0160720i
$934$	−18.0405	+	15.9825i	−0.590303	+	0.522963i
$935$	14.1905	+	12.5717i	0.464078	+	0.411137i
$936$	−0.711466	−	1.87598i	−0.0232550	−	0.0613183i
$937$	0.281597	+	2.31916i	0.00919939	+	0.0757638i	0.996586	−	0.0825670i	$-0.0263118\pi$
$937$	0.281597	+	2.31916i	0.00919939	+	0.0757638i	−0.987386	+	0.158331i	$0.949389\pi$
$938$	0.203110	+	0.106600i	0.00663178	+	0.00348063i
$939$	2.27342	+	3.29362i	0.0741904	+	0.107483i
$940$	21.3928	−	11.2278i	0.697755	−	0.366210i
$941$	−4.17913	−	2.19337i	−0.136236	−	0.0715020i	0.395228	−	0.918583i	$-0.370666\pi$
$941$	−4.17913	−	2.19337i	−0.136236	−	0.0715020i	−0.531464	+	0.847081i	$0.678358\pi$
$942$	−2.76973	+	2.45377i	−0.0902428	+	0.0799481i
$943$	1.62508	−	13.3837i	0.0529199	−	0.435834i
$944$	−6.44271	−	5.70775i	−0.209692	−	0.185771i
$945$	−0.958637	−	0.503132i	−0.0311845	−	0.0163669i
$946$	16.0681	−	42.3681i	0.522419	−	1.37751i
$947$	−22.4811			−0.730538			−0.365269	−	0.930902i	$-0.619023\pi$
$947$	−22.4811			−0.730538			−0.365269	+	0.930902i	$0.619023\pi$
$948$	1.63569	−	2.47311i	0.0531248	−	0.0803228i
$949$	4.95350			0.160797
$950$	11.8595	−	31.2708i	0.384771	−	1.01456i
$951$	8.26587	+	4.33826i	0.268039	+	0.140678i
$952$	0.0957069	+	0.0847889i	0.00310188	+	0.00274802i
$953$	3.84077	−	31.6316i	0.124415	−	1.02465i	−0.788084	−	0.615568i	$-0.788927\pi$
$953$	3.84077	−	31.6316i	0.124415	−	1.02465i	0.912499	−	0.409080i	$-0.134150\pi$
$954$	9.66548	−	8.56286i	0.312931	−	0.277233i
$955$	−55.1382	−	28.9388i	−1.78423	−	0.936437i
$956$	−5.20532	+	2.73196i	−0.168352	+	0.0883580i
$957$	5.70117	+	8.25957i	0.184293	+	0.266994i
$958$	1.29210	+	0.678147i	0.0417459	+	0.0219099i
$959$	−0.122351	−	1.00765i	−0.00395093	−	0.0325389i
$960$	0.443941	+	1.17058i	0.0143281	+	0.0377802i
$961$	15.5314	+	13.7597i	0.501014	+	0.443860i
$962$	−5.77415	+	5.11545i	−0.186166	+	0.164929i
$963$	19.2762	−	27.9264i	0.621167	−	0.899915i
$964$	−1.24133	−	10.2233i	−0.0399805	−	0.329269i
$965$	52.9136	+	46.8773i	1.70335	+	1.50903i
$966$	0.137250	−	0.0338291i	0.00441594	−	0.00108843i
$967$	49.8046	−	12.2757i	1.60161	−	0.394761i	0.665478	−	0.746417i	$-0.268228\pi$
$967$	49.8046	−	12.2757i	1.60161	−	0.394761i	0.936129	+	0.351656i	$0.114381\pi$
$968$	−16.9643	+	15.0291i	−0.545254	+	0.483053i
$969$	−0.607498	−	0.880113i	−0.0195156	−	0.0282733i
$970$	56.1087	+	13.8296i	1.80154	+	0.444040i
$971$	−50.6887			−1.62668			−0.813339	−	0.581790i	$-0.802352\pi$
$971$	−50.6887			−1.62668			−0.813339	+	0.581790i	$0.802352\pi$
$972$	8.56579			0.274748
$973$	0.127260	+	0.0313668i	0.00407977	+	0.00100557i
$974$	23.6892	−	12.4331i	0.759051	−	0.398381i
$975$	−0.253691	−	2.08933i	−0.00812460	−	0.0669121i
$976$	−4.82776	−	12.7297i	−0.154533	−	0.407469i
$977$	−13.9661	+	20.2333i	−0.446814	+	0.647321i	−0.980075	−	0.198629i	$-0.936351\pi$
$977$	−13.9661	+	20.2333i	−0.446814	+	0.647321i	0.533261	+	0.845951i	$0.320966\pi$
$978$	−1.01004	−	1.46329i	−0.0322974	−	0.0467908i
$979$	−11.9998	+	31.6408i	−0.383514	+	1.01124i
$980$	−25.4277	−	6.26737i	−0.812259	−	0.200204i
$981$	−18.2763	+	48.1907i	−0.583518	+	1.53861i
$982$	29.6912	−	15.5831i	0.947483	−	0.497277i
$983$	−26.8358	+	38.8784i	−0.855929	+	1.24003i	0.113225	+	0.993569i	$0.463882\pi$
$983$	−26.8358	+	38.8784i	−0.855929	+	1.24003i	−0.969154	+	0.246458i	$0.920733\pi$
$984$	0.187884	−	1.54737i	0.00598953	−	0.0493283i
$985$	25.9431	−	6.39439i	0.826615	−	0.203742i
$986$	0.544173	−	4.48166i	0.0173300	−	0.142725i
$987$	−0.111841	−	0.294899i	−0.00355992	−	0.00938675i
$988$	−0.906804	−	2.39105i	−0.0288493	−	0.0760693i
$989$	−2.71621	+	22.3700i	−0.0863705	+	0.711325i
$990$	−61.0713	+	15.0527i	−1.94097	+	0.478407i
$991$	2.96064	−	24.3831i	0.0940480	−	0.774555i	−0.867026	−	0.498263i	$-0.833971\pi$
$991$	2.96064	−	24.3831i	0.0940480	−	0.774555i	0.961074	−	0.276292i	$-0.0891055\pi$
$992$	−1.81871	+	2.63486i	−0.0577442	+	0.0836569i
$993$	8.33590	−	4.37502i	0.264532	−	0.138837i
$994$	−0.314232	+	0.828562i	−0.00996684	+	0.0262804i
$995$	52.9469	+	13.0502i	1.67853	+	0.413720i
$996$	−1.88788	+	4.97792i	−0.0598196	+	0.157731i
$997$	−12.1470	−	17.5979i	−0.384699	−	0.557332i	0.582020	−	0.813175i	$-0.302263\pi$
$997$	−12.1470	−	17.5979i	−0.384699	−	0.557332i	−0.966719	+	0.255842i	$0.917647\pi$
$998$	15.9360	−	23.0873i	0.504445	−	0.730815i
$999$	−7.73703	−	20.4009i	−0.244789	−	0.645455i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	158.2.e.a.87.3	✓	48
79.10	even	13	inner	158.2.e.a.89.3	yes	48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
158.2.e.a.87.3	✓	48	1.1	even	1	trivial
158.2.e.a.89.3	yes	48	79.10	even	13	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 158 = 2 \cdot 79 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	158.e (of order \(13\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.354605 + 0.935016i) q^{2} +(0.295387 + 0.155031i) q^{3} +(-0.748511 - 0.663123i) q^{4} +(-0.452351 + 3.72544i) q^{5} +(-0.249702 + 0.221217i) q^{6} +(-0.130033 - 0.0682466i) q^{7} +(0.885456 - 0.464723i) q^{8} +(-1.64098 - 2.37736i) q^{9} +(-3.32295 - 1.74402i) q^{10} +(0.699363 + 5.75977i) q^{11} +(-0.118296 - 0.311920i) q^{12} +(0.519880 + 0.460573i) q^{13} +(0.109922 - 0.0973824i) q^{14} +(-0.711178 + 1.03032i) q^{15} +(0.120537 + 0.992709i) q^{16} +(-0.651714 - 0.577368i) q^{17} +(2.80477 - 0.691314i) q^{18} +(3.57484 - 0.881120i) q^{19} +(2.80902 - 2.48857i) q^{20} +(-0.0278297 - 0.0403183i) q^{21} +(-5.63348 - 1.38853i) q^{22} +2.88541 q^{23} +0.333599 q^{24} +(-8.81961 - 2.17384i) q^{25} +(-0.614996 + 0.322775i) q^{26} +(-0.236790 - 1.95014i) q^{27} +(0.0520752 + 0.137311i) q^{28} +(2.94548 - 4.26727i) q^{29} +(-0.711178 - 1.03032i) q^{30} +(1.13530 - 2.99354i) q^{31} +(-0.970942 - 0.239316i) q^{32} +(-0.686361 + 1.80978i) q^{33} +(0.770949 - 0.404625i) q^{34} +(0.313069 - 0.453559i) q^{35} +(-0.348196 + 2.86765i) q^{36} +(10.7840 - 2.65801i) q^{37} +(-0.443796 + 3.65499i) q^{38} +(0.0821626 + 0.216645i) q^{39} +(1.33076 + 3.50894i) q^{40} +(0.563205 - 4.63841i) q^{41} +(0.0475668 - 0.0117242i) q^{42} +(-0.941360 + 7.75279i) q^{43} +(3.29596 - 4.77502i) q^{44} +(9.59903 - 5.03796i) q^{45} +(-1.02318 + 2.69791i) q^{46} +(6.25082 + 1.54069i) q^{47} +(-0.118296 + 0.311920i) q^{48} +(-3.96420 - 5.74314i) q^{49} +(5.16005 - 7.47562i) q^{50} +(-0.102998 - 0.271583i) q^{51} +(-0.0837190 - 0.689488i) q^{52} +(3.95811 - 2.07738i) q^{53} +(1.90738 + 0.470128i) q^{54} -21.7741 q^{55} -0.146854 q^{56} +(1.19256 + 0.293940i) q^{57} +(2.94548 + 4.26727i) q^{58} +(-6.44271 + 5.70775i) q^{59} +(1.21555 - 0.299607i) q^{60} +(-13.2189 + 3.25815i) q^{61} +(2.39643 + 2.12305i) q^{62} +(0.0511340 + 0.421127i) q^{63} +(0.568065 - 0.822984i) q^{64} +(-1.95101 + 1.72844i) q^{65} +(-1.44879 - 1.28352i) q^{66} +(0.553889 + 1.46049i) q^{67} +(0.104949 + 0.864332i) q^{68} +(0.852314 + 0.447329i) q^{69} +(0.313069 + 0.453559i) q^{70} +(-5.34301 + 2.80423i) q^{71} +(-2.55783 - 1.34245i) q^{72} +(5.33832 - 4.72934i) q^{73} +(-1.33876 + 11.0257i) q^{74} +(-2.26818 - 2.00944i) q^{75} +(-3.26010 - 1.71103i) q^{76} +(0.302144 - 0.796689i) q^{77} -0.231702 q^{78} +(5.19298 + 7.21338i) q^{79} -3.75281 q^{80} +(-2.84067 + 7.49022i) q^{81} +(4.13727 + 2.17141i) q^{82} +(-11.9455 - 10.5827i) q^{83} +(-0.00590514 + 0.0486332i) q^{84} +(2.44576 - 2.16675i) q^{85} +(-6.91518 - 3.62937i) q^{86} +(1.53162 - 0.803854i) q^{87} +(3.29596 + 4.77502i) q^{88} +(5.16431 + 2.71044i) q^{89} +(1.30671 + 10.7617i) q^{90} +(-0.0361690 - 0.0953697i) q^{91} +(-2.15976 - 1.91338i) q^{92} +(0.799445 - 0.708247i) q^{93} +(-3.65714 + 5.29828i) q^{94} +(1.66548 + 13.7165i) q^{95} +(-0.249702 - 0.221217i) q^{96} +(-14.9511 + 3.68512i) q^{97} +(6.77565 - 1.67005i) q^{98} +(12.5454 - 11.1143i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q - 4 q^{2} - 2 q^{3} - 4 q^{4} + 11 q^{5} - 2 q^{6} - 8 q^{7} - 4 q^{8} - 18 q^{9} - 2 q^{10} - 8 q^{11} - 2 q^{12} + 16 q^{13} + 5 q^{14} - 2 q^{15} - 4 q^{16} + 6 q^{17} - 18 q^{18} + 6 q^{19} - 2 q^{20}+ \cdots - 58 q^{99}+O(q^{100}) \) 48 * q - 4 * q^2 - 2 * q^3 - 4 * q^4 + 11 * q^5 - 2 * q^6 - 8 * q^7 - 4 * q^8 - 18 * q^9 - 2 * q^10 - 8 * q^11 - 2 * q^12 + 16 * q^13 + 5 * q^14 - 2 * q^15 - 4 * q^16 + 6 * q^17 - 18 * q^18 + 6 * q^19 - 2 * q^20 - 12 * q^21 + 5 * q^22 - 16 * q^23 + 24 * q^24 - 17 * q^25 + 3 * q^26 + 7 * q^27 - 8 * q^28 - 34 * q^29 - 2 * q^30 - 19 * q^31 - 4 * q^32 + 8 * q^33 - 20 * q^34 + 122 * q^35 - 18 * q^36 - 4 * q^37 - 20 * q^38 - 50 * q^39 - 2 * q^40 - 36 * q^41 + 14 * q^42 - 24 * q^43 + 18 * q^44 - 4 * q^45 + 10 * q^46 - 22 * q^47 - 2 * q^48 - 28 * q^49 - 4 * q^50 + 78 * q^51 - 10 * q^52 - 12 * q^53 + 7 * q^54 - 88 * q^55 + 18 * q^56 - 28 * q^57 - 34 * q^58 - 52 * q^59 + 11 * q^60 - 47 * q^61 + 20 * q^62 + 11 * q^63 - 4 * q^64 - 16 * q^65 + 8 * q^66 + 67 * q^67 - 7 * q^68 - 4 * q^69 + 122 * q^70 - 12 * q^71 - 18 * q^72 + 101 * q^73 - 4 * q^74 - 62 * q^75 + 32 * q^76 + 113 * q^77 - 50 * q^78 - 2 * q^80 + 36 * q^81 + 29 * q^82 + 91 * q^83 + 53 * q^84 - q^85 - 24 * q^86 + 210 * q^87 + 18 * q^88 + 4 * q^89 + 126 * q^90 - 33 * q^91 - 3 * q^92 - 3 * q^93 + 17 * q^94 - 42 * q^95 - 2 * q^96 - 32 * q^97 + 24 * q^98 - 58 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more