LMFDB - Embedded newform 348.2.t.a.179.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [348,2,Mod(35,348)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(348, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 7, 3]))

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

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

chi := DirichletCharacter("348.35");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 348 = 2^{2} \cdot 3 \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	348.t (of order $14$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.77879399034$
Analytic rank:	$0$
Dimension:	$336$
Relative dimension:	$56$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			179.7
Character	$\chi$	$=$	348.179
Dual form			348.2.t.a.35.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.29359 + 0.571517i) q^{2} +(1.49175 - 0.880152i) q^{3} +(1.34674 - 1.47861i) q^{4} +(1.76879 - 1.41056i) q^{5} +(-1.42669 + 1.99112i) q^{6} +(4.04660 - 0.923610i) q^{7} +(-0.897070 + 2.68240i) q^{8} +(1.45066 - 2.62594i) q^{9} +O(q^{10})$	\(q+(-1.29359 + 0.571517i) q^{2} +(1.49175 - 0.880152i) q^{3} +(1.34674 - 1.47861i) q^{4} +(1.76879 - 1.41056i) q^{5} +(-1.42669 + 1.99112i) q^{6} +(4.04660 - 0.923610i) q^{7} +(-0.897070 + 2.68240i) q^{8} +(1.45066 - 2.62594i) q^{9} +(-1.48192 + 2.83558i) q^{10} +(-1.83496 + 3.81034i) q^{11} +(0.707597 - 3.39106i) q^{12} +(-3.43689 - 1.65512i) q^{13} +(-4.70677 + 3.50747i) q^{14} +(1.39709 - 3.66102i) q^{15} +(-0.372598 - 3.98261i) q^{16} -1.04033 q^{17} +(-0.375792 + 4.22597i) q^{18} +(-0.177666 + 0.778407i) q^{19} +(0.296417 - 4.51501i) q^{20} +(5.22361 - 4.93942i) q^{21} +(0.196012 - 5.97772i) q^{22} +(-3.60359 + 4.51876i) q^{23} +(1.02271 + 4.79104i) q^{24} +(0.0263246 - 0.115336i) q^{25} +(5.39185 + 0.176801i) q^{26} +(-0.147192 - 5.19407i) q^{27} +(4.08404 - 7.22721i) q^{28} +(-4.22559 - 3.33832i) q^{29} +(0.285073 + 5.53431i) q^{30} +(1.40533 + 1.76223i) q^{31} +(2.75812 + 4.93891i) q^{32} +(0.616363 + 7.29913i) q^{33} +(1.34576 - 0.594568i) q^{34} +(5.85477 - 7.34165i) q^{35} +(-1.92909 - 5.68143i) q^{36} +(2.75551 + 5.72187i) q^{37} +(-0.215046 - 1.10848i) q^{38} +(-6.58376 + 0.555955i) q^{39} +(2.19696 + 6.00997i) q^{40} +6.16205 q^{41} +(-3.93424 + 9.37496i) q^{42} +(-5.16346 + 6.47477i) q^{43} +(3.16281 + 7.84472i) q^{44} +(-1.13813 - 6.69099i) q^{45} +(2.07901 - 7.90493i) q^{46} +(3.12260 - 6.48414i) q^{47} +(-4.06113 - 5.61313i) q^{48} +(9.21512 - 4.43777i) q^{49} +(0.0318631 + 0.164242i) q^{50} +(-1.55192 + 0.915652i) q^{51} +(-7.07588 + 2.85283i) q^{52} +(5.00979 - 3.99517i) q^{53} +(3.15890 + 6.63486i) q^{54} +(2.12906 + 9.32801i) q^{55} +(-1.15259 + 11.6831i) q^{56} +(0.420082 + 1.31757i) q^{57} +(7.37408 + 1.90340i) q^{58} -7.80721 q^{59} +(-3.53172 - 6.99618i) q^{60} +(5.36844 - 1.22531i) q^{61} +(-2.82507 - 1.47643i) q^{62} +(3.44491 - 11.9660i) q^{63} +(-6.39053 - 4.81260i) q^{64} +(-8.41379 + 1.92039i) q^{65} +(-4.96890 - 9.08981i) q^{66} +(-3.34418 - 6.94426i) q^{67} +(-1.40106 + 1.53825i) q^{68} +(-1.39848 + 9.91260i) q^{69} +(-3.37778 + 12.8432i) q^{70} +(7.49248 + 3.60819i) q^{71} +(5.74248 + 6.24692i) q^{72} +(3.17787 + 2.53427i) q^{73} +(-6.83463 - 5.82692i) q^{74} +(-0.0622431 - 0.195222i) q^{75} +(0.911693 + 1.31101i) q^{76} +(-3.90609 + 17.1137i) q^{77} +(8.19893 - 4.48191i) q^{78} +(-15.4626 + 7.44641i) q^{79} +(-6.27676 - 6.51882i) q^{80} +(-4.79114 - 7.61872i) q^{81} +(-7.97115 + 3.52172i) q^{82} +(-0.454596 + 1.99171i) q^{83} +(-0.268658 - 14.3758i) q^{84} +(-1.84013 + 1.46746i) q^{85} +(2.97894 - 11.3267i) q^{86} +(-9.24178 - 1.26078i) q^{87} +(-8.57476 - 8.34024i) q^{88} +(-5.31062 - 6.65930i) q^{89} +(5.29629 + 8.00492i) q^{90} +(-15.4364 - 3.52326i) q^{91} +(1.82841 + 11.4139i) q^{92} +(3.64744 + 1.39191i) q^{93} +(-0.333558 + 10.1724i) q^{94} +(0.783737 + 1.62745i) q^{95} +(8.46142 + 4.94008i) q^{96} +(-13.8570 - 3.16276i) q^{97} +(-9.38430 + 11.0072i) q^{98} +(7.34381 + 10.3460i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 336 q - 10 q^{4} - 3 q^{6} - 10 q^{9}+O(q^{10}) $ 336 * q - 10 * q^4 - 3 * q^6 - 10 * q^9	$ 336 q - 10 q^{4} - 3 q^{6} - 10 q^{9} - 14 q^{10} - 20 q^{13} - 26 q^{16} - 56 q^{18} - 14 q^{21} - 40 q^{22} + 3 q^{24} + 40 q^{25} - 36 q^{28} - 6 q^{30} - 22 q^{33} - 8 q^{34} + 9 q^{36} - 28 q^{37} - 14 q^{40} - 74 q^{42} - 22 q^{45} + 14 q^{48} + 4 q^{49} - 4 q^{52} - 31 q^{54} - 12 q^{57} - 106 q^{58} - 42 q^{60} - 28 q^{61} - 94 q^{64} - 7 q^{66} - 14 q^{69} + 70 q^{72} - 28 q^{73} - 84 q^{76} - 9 q^{78} - 50 q^{81} - 46 q^{82} - 35 q^{84} - 168 q^{85} - 60 q^{88} + 119 q^{90} + 122 q^{93} + 36 q^{94} + 2 q^{96} - 28 q^{97}+O(q^{100}) $ 336 * q - 10 * q^4 - 3 * q^6 - 10 * q^9 - 14 * q^10 - 20 * q^13 - 26 * q^16 - 56 * q^18 - 14 * q^21 - 40 * q^22 + 3 * q^24 + 40 * q^25 - 36 * q^28 - 6 * q^30 - 22 * q^33 - 8 * q^34 + 9 * q^36 - 28 * q^37 - 14 * q^40 - 74 * q^42 - 22 * q^45 + 14 * q^48 + 4 * q^49 - 4 * q^52 - 31 * q^54 - 12 * q^57 - 106 * q^58 - 42 * q^60 - 28 * q^61 - 94 * q^64 - 7 * q^66 - 14 * q^69 + 70 * q^72 - 28 * q^73 - 84 * q^76 - 9 * q^78 - 50 * q^81 - 46 * q^82 - 35 * q^84 - 168 * q^85 - 60 * q^88 + 119 * q^90 + 122 * q^93 + 36 * q^94 + 2 * q^96 - 28 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/348\mathbb{Z}\right)^\times$.

$n$	$175$	$205$	$233$
$\chi(n)$	$-1$	$e\left(\frac{11}{14}\right)$	$-1$

Coefficient data

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

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

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

$2$	−1.29359	+	0.571517i	−0.914704	+	0.404123i
$2$	−1.29359	+	0.571517i	−0.914704	+	0.404123i
$3$	1.49175	−	0.880152i	0.861265	−	0.508156i
$3$	1.49175	−	0.880152i	0.861265	−	0.508156i
$4$	1.34674	−	1.47861i	0.673369	−	0.739307i
$5$	1.76879	−	1.41056i	0.791027	−	0.630823i	−0.142311	−	0.989822i	$-0.545453\pi$
$5$	1.76879	−	1.41056i	0.791027	−	0.630823i	0.933338	+	0.358999i	$0.116882\pi$
$6$	−1.42669	+	1.99112i	−0.582445	+	0.812870i
$7$	4.04660	−	0.923610i	1.52947	−	0.349092i	0.626716	−	0.779248i	$-0.284399\pi$
$7$	4.04660	−	0.923610i	1.52947	−	0.349092i	0.902754	+	0.430156i	$0.141542\pi$
$8$	−0.897070	+	2.68240i	−0.317162	+	0.948371i
$9$	1.45066	−	2.62594i	0.483555	−	0.875314i
$10$	−1.48192	+	2.83558i	−0.468625	+	0.896689i
$11$	−1.83496	+	3.81034i	−0.553262	+	1.14886i	0.417469	+	0.908691i	$0.362917\pi$
$11$	−1.83496	+	3.81034i	−0.553262	+	1.14886i	−0.970731	+	0.240169i	$0.922797\pi$
$12$	0.707597	−	3.39106i	0.204266	−	0.978916i
$13$	−3.43689	−	1.65512i	−0.953223	−	0.459048i	−0.108408	−	0.994107i	$-0.534575\pi$
$13$	−3.43689	−	1.65512i	−0.953223	−	0.459048i	−0.844815	+	0.535059i	$0.820290\pi$
$14$	−4.70677	+	3.50747i	−1.25794	+	0.937410i
$15$	1.39709	−	3.66102i	0.360727	−	0.945270i
$16$	−0.372598	−	3.98261i	−0.0931494	−	0.995652i
$17$	−1.04033			−0.252318			−0.126159	−	0.992010i	$-0.540265\pi$
$17$	−1.04033			−0.252318			−0.126159	+	0.992010i	$0.540265\pi$
$18$	−0.375792	+	4.22597i	−0.0885750	+	0.996070i
$19$	−0.177666	+	0.778407i	−0.0407594	+	0.178579i	−0.991210	−	0.132296i	$-0.957765\pi$
$19$	−0.177666	+	0.778407i	−0.0407594	+	0.178579i	0.950451	+	0.310875i	$0.100622\pi$
$20$	0.296417	−	4.51501i	0.0662809	−	1.00959i
$21$	5.22361	−	4.93942i	1.13989	−	1.07787i
$22$	0.196012	−	5.97772i	0.0417899	−	1.27445i
$23$	−3.60359	+	4.51876i	−0.751401	+	0.942227i	−0.999650	−	0.0264690i	$-0.991574\pi$
$23$	−3.60359	+	4.51876i	−0.751401	+	0.942227i	0.248248	+	0.968696i	$0.420145\pi$
$24$	1.02271	+	4.79104i	0.208760	+	0.977967i
$25$	0.0263246	−	0.115336i	0.00526493	−	0.0230672i
$26$	5.39185	+	0.176801i	1.05743	+	0.0346736i
$27$	−0.147192	−	5.19407i	−0.0283271	−	0.999599i
$28$	4.08404	−	7.22721i	0.771811	−	1.36582i
$29$	−4.22559	−	3.33832i	−0.784673	−	0.619910i
$29$	−4.22559	−	3.33832i	−0.784673	−	0.619910i
$30$	0.285073	+	5.53431i	0.0520470	+	1.01042i
$31$	1.40533	+	1.76223i	0.252405	+	0.316506i	0.891850	−	0.452331i	$-0.149407\pi$
$31$	1.40533	+	1.76223i	0.252405	+	0.316506i	−0.639445	+	0.768837i	$0.720836\pi$
$32$	2.75812	+	4.93891i	0.487570	+	0.873084i
$33$	0.616363	+	7.29913i	0.107295	+	1.27062i
$34$	1.34576	−	0.594568i	0.230796	−	0.101968i
$35$	5.85477	−	7.34165i	0.989637	−	1.24097i
$36$	−1.92909	−	5.68143i	−0.321515	−	0.946904i
$37$	2.75551	+	5.72187i	0.453003	+	0.940670i	0.994961	+	0.100264i	$0.0319688\pi$
$37$	2.75551	+	5.72187i	0.453003	+	0.940670i	−0.541958	+	0.840405i	$0.682317\pi$
$38$	−0.215046	−	1.10848i	−0.0348850	−	0.179819i
$39$	−6.58376	+	0.555955i	−1.05425	+	0.0890240i
$40$	2.19696	+	6.00997i	0.347370	+	0.950260i
$41$	6.16205			0.962351			0.481175	−	0.876624i	$-0.340210\pi$
$41$	6.16205			0.962351			0.481175	+	0.876624i	$0.340210\pi$
$42$	−3.93424	+	9.37496i	−0.607067	+	1.44659i
$43$	−5.16346	+	6.47477i	−0.787420	+	0.987393i	0.212528	+	0.977155i	$0.431830\pi$
$43$	−5.16346	+	6.47477i	−0.787420	+	0.987393i	−0.999948	+	0.0102380i	$0.996741\pi$
$44$	3.16281	+	7.84472i	0.476811	+	1.18264i
$45$	−1.13813	−	6.69099i	−0.169663	−	0.997434i
$46$	2.07901	−	7.90493i	0.306534	−	1.16552i
$47$	3.12260	−	6.48414i	0.455478	−	0.945809i	−0.539142	−	0.842215i	$-0.681251\pi$
$47$	3.12260	−	6.48414i	0.455478	−	0.945809i	0.994620	−	0.103594i	$-0.0330344\pi$
$48$	−4.06113	−	5.61313i	−0.586173	−	0.810186i
$49$	9.21512	−	4.43777i	1.31645	−	0.633967i
$50$	0.0318631	+	0.164242i	0.00450612	+	0.0232273i
$51$	−1.55192	+	0.915652i	−0.217313	+	0.128217i
$52$	−7.07588	+	2.85283i	−0.981248	+	0.395616i
$53$	5.00979	−	3.99517i	0.688148	−	0.548779i	−0.215792	−	0.976439i	$-0.569233\pi$
$53$	5.00979	−	3.99517i	0.688148	−	0.548779i	0.903940	+	0.427660i	$0.140662\pi$
$54$	3.15890	+	6.63486i	0.429872	+	0.902890i
$55$	2.12906	+	9.32801i	0.287082	+	1.25779i
$56$	−1.15259	+	11.6831i	−0.154022	+	1.56122i
$57$	0.420082	+	1.31757i	0.0556412	+	0.174516i
$58$	7.37408	+	1.90340i	0.968264	+	0.249929i
$59$	−7.80721			−1.01641			−0.508206	−	0.861235i	$-0.669691\pi$
$59$	−7.80721			−1.01641			−0.508206	+	0.861235i	$0.669691\pi$
$60$	−3.53172	−	6.99618i	−0.455943	−	0.903204i
$61$	5.36844	−	1.22531i	0.687358	−	0.156885i	0.135443	−	0.990785i	$-0.456754\pi$
$61$	5.36844	−	1.22531i	0.687358	−	0.156885i	0.551915	+	0.833900i	$0.313897\pi$
$62$	−2.82507	−	1.47643i	−0.358784	−	0.187507i
$63$	3.44491	−	11.9660i	0.434018	−	1.50757i
$64$	−6.39053	−	4.81260i	−0.798816	−	0.601575i
$65$	−8.41379	+	1.92039i	−1.04360	+	0.238195i
$66$	−4.96890	−	9.08981i	−0.611629	−	1.11888i
$67$	−3.34418	−	6.94426i	−0.408556	−	0.848376i	−0.999143	−	0.0414014i	$-0.986818\pi$
$67$	−3.34418	−	6.94426i	−0.408556	−	0.848376i	0.590586	−	0.806974i	$-0.298897\pi$
$68$	−1.40106	+	1.53825i	−0.169903	+	0.186541i
$69$	−1.39848	+	9.91260i	−0.168357	+	1.19334i
$70$	−3.37778	+	12.8432i	−0.403722	+	1.53505i
$71$	7.49248	+	3.60819i	0.889194	+	0.428213i	0.821974	−	0.569525i	$-0.192873\pi$
$71$	7.49248	+	3.60819i	0.889194	+	0.428213i	0.0672201	+	0.997738i	$0.478587\pi$
$72$	5.74248	+	6.24692i	0.676757	+	0.736206i
$73$	3.17787	+	2.53427i	0.371942	+	0.296614i	0.791565	−	0.611085i	$-0.209266\pi$
$73$	3.17787	+	2.53427i	0.371942	+	0.296614i	−0.419624	+	0.907698i	$0.637838\pi$
$74$	−6.83463	−	5.82692i	−0.794510	−	0.677366i
$75$	−0.0622431	−	0.195222i	−0.00718722	−	0.0225423i
$76$	0.911693	+	1.31101i	0.104578	+	0.150383i
$77$	−3.90609	+	17.1137i	−0.445140	+	1.95029i
$78$	8.19893	−	4.48191i	0.928346	−	0.507476i
$79$	−15.4626	+	7.44641i	−1.73968	+	0.837787i	−0.756778	+	0.653673i	$0.773227\pi$
$79$	−15.4626	+	7.44641i	−1.73968	+	0.837787i	−0.982905	+	0.184114i	$0.941058\pi$
$80$	−6.27676	−	6.51882i	−0.701764	−	0.728827i
$81$	−4.79114	−	7.61872i	−0.532349	−	0.846525i
$82$	−7.97115	+	3.52172i	−0.880266	+	0.388908i
$83$	−0.454596	+	1.99171i	−0.0498984	+	0.218619i	−0.993730	−	0.111808i	$-0.964336\pi$
$83$	−0.454596	+	1.99171i	−0.0498984	+	0.218619i	0.943831	+	0.330427i	$0.107193\pi$
$84$	−0.268658	−	14.3758i	−0.0293130	−	1.56853i
$85$	−1.84013	+	1.46746i	−0.199590	+	0.159168i
$86$	2.97894	−	11.3267i	0.321228	−	1.22139i
$87$	−9.24178	−	1.26078i	−0.990822	−	0.135170i
$88$	−8.57476	−	8.34024i	−0.914072	−	0.889072i
$89$	−5.31062	−	6.65930i	−0.562924	−	0.705885i	0.416171	−	0.909286i	$-0.363372\pi$
$89$	−5.31062	−	6.65930i	−0.562924	−	0.705885i	−0.979095	+	0.203401i	$0.934800\pi$
$90$	5.29629	+	8.00492i	0.558278	+	0.843793i
$91$	−15.4364	−	3.52326i	−1.61818	−	0.369338i
$92$	1.82841	+	11.4139i	0.190625	+	1.18998i
$93$	3.64744	+	1.39191i	0.378222	+	0.144334i
$94$	−0.333558	+	10.1724i	−0.0344039	+	1.04921i
$95$	0.783737	+	1.62745i	0.0804097	+	0.166973i
$96$	8.46142	+	4.94008i	0.863590	+	0.504195i
$97$	−13.8570	−	3.16276i	−1.40696	−	0.321130i	−0.549420	−	0.835546i	$-0.685151\pi$
$97$	−13.8570	−	3.16276i	−1.40696	−	0.321130i	−0.857540	+	0.514417i	$0.828009\pi$
$98$	−9.38430	+	11.0072i	−0.947958	+	1.11190i
$99$	7.34381	+	10.3460i	0.738081	+	1.03981i
$100$	−0.135085	−	0.194251i	−0.0135085	−	0.0194251i
$101$	−3.01088	+	3.77553i	−0.299594	+	0.375679i	−0.908728	−	0.417388i	$-0.862946\pi$
$101$	−3.01088	+	3.77553i	−0.299594	+	0.375679i	0.609134	+	0.793067i	$0.291517\pi$
$102$	1.48424	−	2.07143i	0.146961	−	0.205102i
$103$	4.70985	−	9.78011i	0.464075	−	0.963662i	−0.529266	−	0.848456i	$-0.677533\pi$
$103$	4.70985	−	9.78011i	0.464075	−	0.963662i	0.993342	−	0.115207i	$-0.0367530\pi$
$104$	7.52283	−	7.73436i	0.737674	−	0.758417i
$105$	2.27211	−	16.1050i	0.221736	−	1.57169i
$106$	−4.19729	+	8.03129i	−0.407677	+	0.780068i
$107$	−4.41349	+	2.12543i	−0.426669	+	0.205473i	−0.634879	−	0.772611i	$-0.718950\pi$
$107$	−4.41349	+	2.12543i	−0.426669	+	0.205473i	0.208211	+	0.978084i	$0.433236\pi$
$108$	−7.87825	−	6.77740i	−0.758085	−	0.652156i
$109$	3.05263	+	13.3745i	0.292389	+	1.28104i	0.881190	+	0.472763i	$0.156743\pi$
$109$	3.05263	+	13.3745i	0.292389	+	1.28104i	−0.588801	+	0.808278i	$0.700400\pi$
$110$	−8.08524	−	10.8498i	−0.770897	−	1.03449i
$111$	9.14666	+	6.11036i	0.868162	+	0.579970i
$112$	−5.18613	−	15.7719i	−0.490043	−	1.49030i
$113$	−2.74217	−	12.0142i	−0.257962	−	1.13020i	−0.923427	−	0.383775i	$-0.874624\pi$
$113$	−2.74217	−	12.0142i	−0.257962	−	1.13020i	0.665465	−	0.746429i	$-0.268233\pi$
$114$	−1.29642	−	1.46430i	−0.121421	−	0.137144i
$115$			13.0758i			1.21933i
$116$	−10.6268	+	1.75219i	−0.986678	+	0.162687i
$117$	−9.33203	+	6.62406i	−0.862747	+	0.612394i
$118$	10.0993	−	4.46195i	0.929717	−	0.410756i
$119$	−4.20981	+	0.960862i	−0.385913	+	0.0880821i
$120$	8.56702	+	7.03174i	0.782058	+	0.641907i
$121$	−4.29320	−	5.38350i	−0.390291	−	0.489409i
$122$	−6.24426	+	4.65320i	−0.565329	+	0.421281i
$123$	9.19227	−	5.42354i	0.828839	−	0.489024i
$124$	4.49828	+	0.295319i	0.403957	+	0.0265204i
$125$	4.79189	+	9.95047i	0.428600	+	0.889997i
$126$	2.38246	+	17.4479i	0.212247	+	1.55438i
$127$	18.3158	+	8.82041i	1.62526	+	0.782685i	0.999997	+	0.00227273i	$0.000723433\pi$
$127$	18.3158	+	8.82041i	1.62526	+	0.782685i	0.625265	+	0.780412i	$0.284991\pi$
$128$	11.0172	+	2.57322i	0.973791	+	0.227443i
$129$	−2.00383	+	14.2034i	−0.176427	+	1.25054i
$130$	9.78644	−	7.29282i	0.858327	−	0.639623i
$131$	11.2647	+	8.98329i	0.984201	+	0.784874i	0.976593	−	0.215097i	$-0.0690069\pi$
$131$	11.2647	+	8.98329i	0.984201	+	0.784874i	0.00760790	+	0.999971i	$0.497578\pi$
$132$	11.6227	+	8.91865i	1.01162	+	0.776269i
$133$			3.31399i			0.287360i
$134$	8.29474	+	7.07175i	0.716557	+	0.610906i
$135$	−7.58691	−	8.97959i	−0.652977	−	0.772840i
$136$	0.933252	−	2.79059i	0.0800257	−	0.239291i
$137$	13.2621	−	6.38671i	1.13306	−	0.545654i	0.229157	−	0.973389i	$-0.426403\pi$
$137$	13.2621	−	6.38671i	1.13306	−	0.545654i	0.903904	+	0.427736i	$0.140689\pi$
$138$	−3.85616	−	13.6221i	−0.328258	−	1.15959i
$139$	0.857287	+	0.683663i	0.0727141	+	0.0579876i	0.659172	−	0.751992i	$-0.270907\pi$
$139$	0.857287	+	0.683663i	0.0727141	+	0.0579876i	−0.586458	+	0.809979i	$0.699478\pi$
$140$	−2.97063	−	18.5442i	−0.251064	−	1.56727i
$141$	−1.04888	−	12.4211i	−0.0883316	−	1.04605i
$142$	−11.7543	−	0.385430i	−0.986401	−	0.0323445i
$143$	12.6131	−	10.0586i	1.05476	−	0.841146i
$144$	−10.9986	−	4.79901i	−0.916551	−	0.399918i
$145$	−12.1831	+	0.0556889i	−1.01175	+	0.00462471i
$146$	−5.55923	−	1.46209i	−0.460085	−	0.121004i
$147$	9.84078	−	14.7308i	0.811654	−	1.21497i
$148$	12.1714	+	3.63152i	1.00048	+	0.298509i
$149$	−9.92052	−	2.26429i	−0.812721	−	0.185498i	−0.204090	−	0.978952i	$-0.565424\pi$
$149$	−9.92052	−	2.26429i	−0.812721	−	0.185498i	−0.608630	+	0.793454i	$0.708281\pi$
$150$	0.192090	+	0.216964i	0.0156841	+	0.0177151i
$151$	13.3320	+	10.6319i	1.08494	+	0.865211i	0.991460	−	0.130411i	$-0.0416295\pi$
$151$	13.3320	+	10.6319i	1.08494	+	0.865211i	0.0934797	+	0.995621i	$0.470201\pi$
$152$	−1.92862	−	1.17486i	−0.156432	−	0.0952935i
$153$	−1.50918	+	2.73186i	−0.122010	+	0.220858i
$154$	−4.72789	−	24.3705i	−0.380985	−	1.96383i
$155$	4.97148	+	1.13471i	0.399319	+	0.0911419i
$156$	−8.04455	+	10.4836i	−0.644080	+	0.839357i
$157$		−	13.1723i		−	1.05126i	−0.850712	−	0.525631i	$-0.823829\pi$
$157$		−	13.1723i		−	1.05126i	0.850712	−	0.525631i	$-0.176171\pi$
$158$	15.7465	−	18.4697i	1.25273	−	1.46937i
$159$	3.95702	−	10.3692i	0.313812	−	0.822331i
$160$	11.8452	+	4.84539i	0.936442	+	0.383062i
$161$	−10.4087	+	21.6139i	−0.820322	+	1.70342i
$162$	10.5520	+	7.11727i	0.829043	+	0.559185i
$163$	−12.5753	−	6.05592i	−0.984970	−	0.474336i	−0.129158	−	0.991624i	$-0.541227\pi$
$163$	−12.5753	−	6.05592i	−0.984970	−	0.474336i	−0.855812	+	0.517288i	$0.826942\pi$
$164$	8.29866	−	9.11129i	0.648017	−	0.711472i
$165$	11.3861	+	12.0412i	0.886407	+	0.937407i
$166$	−0.550239	−	2.83627i	−0.0427068	−	0.220137i
$167$	−0.268463	−	1.17621i	−0.0207743	−	0.0910182i	0.963478	−	0.267787i	$-0.0862925\pi$
$167$	−0.268463	−	1.17621i	−0.0207743	−	0.0910182i	−0.984252	+	0.176769i	$0.943435\pi$
$168$	8.56355	+	18.4428i	0.660692	+	1.42289i
$169$	0.967445	+	1.21314i	0.0744189	+	0.0933183i
$170$	1.54170	−	2.94995i	0.118243	−	0.226251i
$171$	1.78632	+	1.59575i	0.136603	+	0.122030i
$172$	2.61986	+	16.3546i	0.199763	+	1.24702i
$173$		−	1.17630i		−	0.0894326i	−0.999000	−	0.0447163i	$-0.985762\pi$
$173$		−	1.17630i		−	0.0894326i	0.999000	−	0.0447163i	$-0.0142384\pi$
$174$	12.6756	−	3.65090i	0.960935	−	0.276774i
$175$		−	0.491031i		−	0.0371185i
$176$	15.8588	+	5.88821i	1.19540	+	0.443841i
$177$	−11.6464	+	6.87153i	−0.875401	+	0.516496i
$178$	10.6757	+	5.57929i	0.800174	+	0.418185i
$179$	−9.77664	−	12.2595i	−0.730741	−	0.916320i	0.268151	−	0.963377i	$-0.413587\pi$
$179$	−9.77664	−	12.2595i	−0.730741	−	0.916320i	−0.998892	+	0.0470569i	$0.985016\pi$
$180$	−11.4262	−	7.32815i	−0.851656	−	0.546208i
$181$	4.79430	+	21.0052i	0.356358	+	1.56130i	0.762188	+	0.647356i	$0.224125\pi$
$181$	4.79430	+	21.0052i	0.356358	+	1.56130i	−0.405830	+	0.913949i	$0.633018\pi$
$182$	21.9819	−	4.26452i	1.62941	−	0.316107i
$183$	6.92994	−	6.55291i	0.512276	−	0.484405i
$184$	−8.88845	−	13.7199i	−0.655265	−	1.01145i
$185$	12.9450	+	6.23397i	0.951733	+	0.458330i
$186$	−5.51379	+	0.284017i	−0.404291	+	0.0208251i
$187$	1.90897	−	3.96402i	0.139598	−	0.289878i
$188$	−5.38222	−	13.3496i	−0.392539	−	0.973616i
$189$	−5.39292	−	20.8824i	−0.392277	−	1.51897i
$190$	−1.94395	−	1.65733i	−0.141029	−	0.120235i
$191$			13.5175i			0.978091i	0.872258	+	0.489046i	$0.162655\pi$
$191$			13.5175i			0.978091i	−0.872258	+	0.489046i	$0.837345\pi$
$192$	−13.7689	−	1.55458i	−0.993687	−	0.112192i
$193$	−14.5266	−	3.31560i	−1.04565	−	0.238662i	−0.335005	−	0.942216i	$-0.608738\pi$
$193$	−14.5266	−	3.31560i	−1.04565	−	0.238662i	−0.710642	+	0.703554i	$0.751595\pi$
$194$	19.7328	−	3.82818i	1.41673	−	0.274847i
$195$	−10.8611	+	10.2702i	−0.777778	+	0.735462i
$196$	5.84860	−	19.6021i	0.417757	−	1.40015i
$197$	−2.05722	−	1.64058i	−0.146571	−	0.116886i	0.547459	−	0.836832i	$-0.315595\pi$
$197$	−2.05722	−	1.64058i	−0.146571	−	0.116886i	−0.694030	+	0.719946i	$0.744167\pi$
$198$	−15.4128	−	9.18638i	−1.09534	−	0.652847i
$199$	8.10543	+	1.85001i	0.574578	+	0.131144i	0.499930	−	0.866066i	$-0.333359\pi$
$199$	8.10543	+	1.85001i	0.574578	+	0.131144i	0.0746489	+	0.997210i	$0.476216\pi$
$200$	0.285762	+	0.174077i	0.0202064	+	0.0123091i
$201$	−11.1007	−	7.41574i	−0.782983	−	0.523066i
$202$	1.73706	−	6.60474i	0.122219	−	0.464708i
$203$	−20.1826	−	9.60602i	−1.41654	−	0.674210i
$204$	−0.736137	+	3.52784i	−0.0515399	+	0.246998i
$205$	10.8994	−	8.69196i	0.761245	−	0.607073i
$206$	−0.503110	+	15.3432i	−0.0350533	+	1.06901i
$207$	6.63841	+	16.0180i	0.461401	+	1.11333i
$208$	−5.31112	+	14.3045i	−0.368260	+	0.991838i
$209$	−2.63998	−	2.10531i	−0.182611	−	0.145628i
$210$	6.26512	+	22.1318i	0.432334	+	1.52724i
$211$	−7.64241	+	3.68039i	−0.526126	+	0.253369i	−0.678040	−	0.735025i	$-0.737170\pi$
$211$	−7.64241	+	3.68039i	−0.526126	+	0.253369i	0.151915	+	0.988394i	$0.451456\pi$
$212$	0.839551	−	12.7880i	0.0576606	−	0.878283i
$213$	14.3527	−	1.21199i	0.983431	−	0.0830442i
$214$	4.49452	−	5.27181i	0.307239	−	0.360374i
$215$			18.7359i			1.27778i
$216$	14.0646	+	4.26461i	0.956975	+	0.290170i
$217$	7.31443	+	5.83307i	0.496536	+	0.395974i
$218$	−11.5926	−	15.5564i	−0.785148	−	1.05361i
$219$	6.97115	+	0.983497i	0.471067	+	0.0664585i
$220$	16.6598	+	9.41433i	1.12320	+	0.634714i
$221$	3.57552	+	1.72188i	0.240515	+	0.115826i
$222$	−15.3242	−	2.67682i	−1.02849	−	0.179656i
$223$	−4.21686	−	8.75640i	−0.282382	−	0.586372i	0.710740	−	0.703454i	$-0.248360\pi$
$223$	−4.21686	−	8.75640i	−0.282382	−	0.586372i	−0.993122	+	0.117083i	$0.962646\pi$
$224$	15.7226	+	17.4383i	1.05051	+	1.16515i
$225$	−0.264677	−	0.236441i	−0.0176451	−	0.0157627i
$226$	10.4136	+	13.9743i	0.692701	+	0.929554i
$227$	−13.7970	−	17.3009i	−0.915737	−	1.14830i	−0.988541	−	0.150952i	$-0.951766\pi$
$227$	−13.7970	−	17.3009i	−0.915737	−	1.14830i	0.0728040	−	0.997346i	$-0.476805\pi$
$228$	2.51391	+	1.15328i	0.166488	+	0.0763775i
$229$	19.5316	−	4.45796i	1.29068	−	0.294590i	0.478549	−	0.878061i	$-0.341163\pi$
$229$	19.5316	−	4.45796i	1.29068	−	0.294590i	0.812134	+	0.583470i	$0.198306\pi$
$230$	−7.47306	−	16.9147i	−0.492759	−	1.11532i
$231$	9.23572	+	28.9674i	0.607666	+	1.90591i
$232$	12.7453	−	8.34003i	0.836773	−	0.547550i
$233$			8.34823i			0.546911i	0.961885	+	0.273455i	$0.0881666\pi$
$233$			8.34823i			0.546911i	−0.961885	+	0.273455i	$0.911833\pi$
$234$	8.28604	−	13.9022i	0.541675	−	0.908816i
$235$	−3.62307	−	15.8737i	−0.236343	−	1.03549i
$236$	−10.5143	+	11.5439i	−0.684420	+	0.751441i
$237$	−16.5125	+	24.7177i	−1.07260	+	1.60559i
$238$	4.89661	−	3.64894i	0.317400	−	0.236526i
$239$	1.47053	+	6.44282i	0.0951208	+	0.416751i	0.999959	−	0.00900317i	$-0.00286584\pi$
$239$	1.47053	+	6.44282i	0.0951208	+	0.416751i	−0.904839	+	0.425755i	$0.860009\pi$
$240$	−15.1009	−	4.19998i	−0.974762	−	0.271107i
$241$	17.0794	−	8.22500i	1.10018	−	0.529819i	0.206465	−	0.978454i	$-0.433804\pi$
$241$	17.0794	−	8.22500i	1.10018	−	0.529819i	0.893715	+	0.448635i	$0.148090\pi$
$242$	8.63039	+	4.51039i	0.554782	+	0.289939i
$243$	−13.8528	−	7.14833i	−0.888660	−	0.458566i
$244$	5.41812	−	9.58802i	0.346859	−	0.613810i
$245$	10.0399	−	20.8480i	0.641423	−	1.33193i
$246$	−8.79136	+	12.2694i	−0.560517	+	0.782266i
$247$	1.89898	−	2.38124i	0.120829	−	0.151515i
$248$	−5.98769	+	2.18882i	−0.380219	+	0.138990i
$249$	1.07487	+	3.37126i	0.0681169	+	0.213645i
$250$	−11.8856	−	10.1332i	−0.751711	−	0.640877i
$251$	−8.46412	−	1.93188i	−0.534250	−	0.121939i	−0.0531198	−	0.998588i	$-0.516917\pi$
$251$	−8.46412	−	1.93188i	−0.534250	−	0.121939i	−0.481130	+	0.876649i	$0.659774\pi$
$252$	−13.0537	−	21.2087i	−0.822304	−	1.33602i
$253$	−10.6056	−	22.0227i	−0.666766	−	1.38455i
$254$	−28.7341	−	0.942203i	−1.80294	−	0.0591191i
$255$	−1.45344	+	3.80868i	−0.0910180	+	0.238509i
$256$	−15.7223	+	2.96782i	−0.982646	+	0.185489i
$257$	18.3586	+	4.19023i	1.14518	+	0.261380i	0.752689	−	0.658377i	$-0.228757\pi$
$257$	18.3586	+	4.19023i	1.14518	+	0.261380i	0.392490	+	0.919756i	$0.371614\pi$
$258$	−5.52535	−	19.5186i	−0.343993	−	1.21517i
$259$	16.4352	+	20.6091i	1.02123	+	1.28059i
$260$	−8.49165	+	15.0270i	−0.526630	+	0.931936i
$261$	−14.8961	+	6.25339i	−0.922048	+	0.387075i
$262$	−19.7060	−	5.18271i	−1.21744	−	0.320189i
$263$	−9.10035	+	7.25728i	−0.561151	+	0.447503i	−0.862533	−	0.506000i	$-0.831124\pi$
$263$	−9.10035	+	7.25728i	−0.561151	+	0.447503i	0.301382	+	0.953504i	$0.402552\pi$
$264$	−20.1321	−	4.89450i	−1.23905	−	0.301236i
$265$	3.22582	−	14.1332i	0.198161	−	0.868198i
$266$	−1.89400	−	4.28694i	−0.116129	−	0.262849i
$267$	−13.7833	−	5.25990i	−0.843527	−	0.321901i
$268$	−14.7716	−	4.40734i	−0.902319	−	0.269221i
$269$	−9.98929	+	4.81059i	−0.609058	+	0.293307i	−0.712877	−	0.701289i	$-0.752608\pi$
$269$	−9.98929	+	4.81059i	−0.609058	+	0.293307i	0.103819	+	0.994596i	$0.466894\pi$
$270$	14.9463	+	7.27984i	0.909604	+	0.443037i
$271$	2.21329	−	9.69704i	0.134448	−	0.589053i	−0.862152	−	0.506650i	$-0.830883\pi$
$271$	2.21329	−	9.69704i	0.134448	−	0.589053i	0.996599	−	0.0824028i	$-0.0262594\pi$
$272$	0.387626	+	4.14324i	0.0235033	+	0.251221i
$273$	−26.1283	+	8.33055i	−1.58136	+	0.504188i
$274$	−13.5056	+	15.8413i	−0.815905	+	0.957008i
$275$	0.391164	+	0.311942i	0.0235880	+	0.0188108i
$276$	12.7735	+	15.4175i	0.768876	+	0.928023i
$277$	−14.9940	−	7.22073i	−0.900902	−	0.433852i	−0.0746873	−	0.997207i	$-0.523796\pi$
$277$	−14.9940	−	7.22073i	−0.900902	−	0.433852i	−0.826215	+	0.563355i	$0.809510\pi$
$278$	−1.49970	−	0.394425i	−0.0899460	−	0.0236560i
$279$	6.66619	−	1.13392i	0.399094	−	0.0678857i
$280$	14.4411	+	22.2908i	0.863021	+	1.33213i
$281$	4.54433	+	9.43639i	0.271092	+	0.562928i	0.991421	−	0.130704i	$-0.0417237\pi$
$281$	4.54433	+	9.43639i	0.271092	+	0.562928i	−0.720330	+	0.693632i	$0.756009\pi$
$282$	8.45569	+	15.4683i	0.503529	+	0.921126i
$283$	0.704214	−	0.160732i	0.0418612	−	0.00955454i	−0.201539	−	0.979480i	$-0.564594\pi$
$283$	0.704214	−	0.160732i	0.0418612	−	0.00955454i	0.243400	+	0.969926i	$0.421737\pi$
$284$	15.4255	−	6.21921i	0.915337	−	0.369042i
$285$	2.60154	+	1.73794i	0.154102	+	0.102947i
$286$	−10.5675	+	20.2204i	−0.624870	+	1.19565i
$287$	24.9353	−	5.69133i	1.47189	−	0.335948i
$288$	16.9704	−	0.0779518i	0.999989	−	0.00459335i
$289$	−15.9177			−0.936336
$290$	15.7281	−	7.03488i	0.923584	−	0.413102i
$291$	−23.4549	+	7.47817i	−1.37495	+	0.438378i
$292$	8.02696	−	1.28585i	0.469742	−	0.0752488i
$293$	−6.03249	−	26.4301i	−0.352422	−	1.54406i	−0.771571	−	0.636143i	$-0.780529\pi$
$293$	−6.03249	−	26.4301i	−0.352422	−	1.54406i	0.419149	−	0.907917i	$-0.362328\pi$
$294$	−4.31104	+	24.6797i	−0.251425	+	1.43935i
$295$	−13.8093	+	11.0126i	−0.804009	+	0.641176i
$296$	−17.8202	+	2.25845i	−1.03578	+	0.131270i
$297$	20.0612	+	8.97006i	1.16407	+	0.520496i
$298$	14.1271	−	2.74068i	0.818363	−	0.158763i
$299$	19.8643	−	9.56613i	1.14878	−	0.553223i
$300$	−0.372484	−	0.170880i	−0.0215054	−	0.00986575i
$301$	−14.9143	+	30.9698i	−0.859644	+	1.78507i
$302$	−23.3224	−	6.13383i	−1.34205	−	0.352963i
$303$	−1.16846	+	8.28219i	−0.0671263	+	0.475800i
$304$	3.16629	+	0.417543i	0.181599	+	0.0239477i
$305$	7.76726	−	9.73984i	0.444752	−	0.557701i
$306$	0.390949	−	4.39642i	0.0223491	−	0.251326i
$307$	−21.4155			−1.22225			−0.611124	−	0.791535i	$-0.709282\pi$
$307$	−21.4155			−1.22225			−0.611124	+	0.791535i	$0.709282\pi$
$308$	20.0441	+	28.8232i	1.14212	+	1.64236i
$309$	−1.58204	−	18.7349i	−0.0899990	−	1.06579i
$310$	−7.07954	+	1.37344i	−0.402091	+	0.0780061i
$311$	−8.16273	−	16.9501i	−0.462866	−	0.961151i	−0.993530	−	0.113569i	$-0.963772\pi$
$311$	−8.16273	−	16.9501i	−0.462866	−	0.961151i	0.530664	−	0.847582i	$-0.321943\pi$
$312$	4.41480	−	18.1590i	0.249939	−	1.02805i
$313$	1.77869	−	2.23041i	0.100538	−	0.126070i	−0.729017	−	0.684495i	$-0.760023\pi$
$313$	1.77869	−	2.23041i	0.100538	−	0.126070i	0.829555	+	0.558425i	$0.188594\pi$
$314$	7.52818	+	17.0395i	0.424840	+	0.961595i
$315$	−10.7854	−	26.0246i	−0.607691	−	1.46632i
$316$	−9.81374	+	32.8916i	−0.552066	+	1.85030i
$317$	−4.11743	−	5.16309i	−0.231258	−	0.289988i	0.652640	−	0.757668i	$-0.273661\pi$
$317$	−4.11743	−	5.16309i	−0.231258	−	0.289988i	−0.883898	+	0.467680i	$0.845090\pi$
$318$	0.807421	+	15.6750i	0.0452779	+	0.879009i
$319$	20.4739	−	9.97526i	1.14632	−	0.558507i
$320$	−18.0920	+	0.501769i	−1.01137	+	0.0280497i
$321$	−4.71315	+	7.05516i	−0.263063	+	0.393781i
$322$	1.11187	−	33.9083i	0.0619620	−	1.88963i
$323$	0.184832	−	0.809803i	0.0102843	−	0.0450586i
$324$	−17.7176	−	3.17617i	−0.984309	−	0.176454i
$325$	−0.281370	+	0.352826i	−0.0156076	+	0.0195713i
$326$	19.7283	+	0.646898i	1.09265	+	0.0358284i
$327$	16.3253	+	17.2646i	0.902793	+	0.954736i
$328$	−5.52779	+	16.5291i	−0.305221	+	0.912666i
$329$	6.64708	−	29.1228i	0.366466	−	1.60559i
$330$	−21.6107	−	9.06901i	−1.18963	−	0.499233i
$331$	−8.91501			−0.490013			−0.245007	−	0.969521i	$-0.578790\pi$
$331$	−8.91501			−0.490013			−0.245007	+	0.969521i	$0.578790\pi$
$332$	2.33276	+	3.35449i	0.128027	+	0.184101i
$333$	19.0226	+	1.06471i	1.04243	+	0.0583459i
$334$	1.01951	+	1.36811i	0.0557850	+	0.0748594i
$335$	−15.7105	−	7.56575i	−0.858354	−	0.413361i
$336$	−21.6181	−	18.9632i	−1.17936	−	1.03453i
$337$	−4.64237	+	9.63998i	−0.252886	+	0.525123i	−0.988305	−	0.152489i	$-0.951271\pi$
$337$	−4.64237	+	9.63998i	−0.252886	+	0.525123i	0.735419	+	0.677613i	$0.236985\pi$
$338$	−1.94480	−	1.01639i	−0.105783	−	0.0552843i
$339$	−14.6650	−	15.5088i	−0.796493	−	0.842321i
$340$	−0.308373	+	4.69712i	−0.0167239	+	0.254737i
$341$	−9.29343	+	2.12117i	−0.503268	+	0.114868i
$342$	−3.22275	−	1.04333i	−0.174267	−	0.0564168i
$343$	10.4753	−	8.35375i	0.565611	−	0.451060i
$344$	−12.7359	−	19.6588i	−0.686675	−	1.05993i
$345$	11.5087	+	19.5059i	0.619609	+	1.05016i
$346$	0.672276	+	1.52165i	0.0361418	+	0.0818044i
$347$	27.1398			1.45694			0.728471	−	0.685077i	$-0.240231\pi$
$347$	27.1398			1.45694			0.728471	+	0.685077i	$0.240231\pi$
$348$	−14.3105	+	11.9671i	−0.767121	+	0.641503i
$349$	19.2422			1.03001			0.515007	−	0.857186i	$-0.327789\pi$
$349$	19.2422			1.03001			0.515007	+	0.857186i	$0.327789\pi$
$350$	0.280633	+	0.635192i	0.0150004	+	0.0339524i
$351$	−8.09092	+	18.0951i	−0.431862	+	0.965844i
$352$	−23.8799	+	1.44664i	−1.27280	+	0.0771063i
$353$	27.4366	−	21.8800i	1.46030	−	1.16455i	0.507233	−	0.861809i	$-0.330668\pi$
$353$	27.4366	−	21.8800i	1.46030	−	1.16455i	0.953072	−	0.302745i	$-0.0979030\pi$
$354$	11.1385	−	15.5451i	0.592005	−	0.826211i
$355$	18.3422	−	4.18649i	0.973503	−	0.222196i
$356$	−16.9985	−	1.11598i	−0.900921	−	0.0591468i
$357$	−5.43430	+	5.13865i	−0.287614	+	0.271966i
$358$	19.6535	+	10.2713i	1.03872	+	0.542853i
$359$	−8.13539	+	16.8933i	−0.429370	+	0.891595i	0.568264	+	0.822846i	$0.307615\pi$
$359$	−8.13539	+	16.8933i	−0.429370	+	0.891595i	−0.997634	+	0.0687490i	$0.978099\pi$
$360$	18.9689	+	2.94936i	0.999749	+	0.155445i
$361$	16.5441	+	7.96720i	0.870740	+	0.419326i
$362$	−18.2067	−	24.4320i	−0.956922	−	1.28412i
$363$	−11.1427	−	4.25220i	−0.584840	−	0.223182i
$364$	−25.9983	+	18.0796i	−1.36268	+	0.947628i
$365$	9.19573			0.481327
$366$	−5.21938	+	12.4373i	−0.272821	+	0.650110i
$367$	2.48003	−	10.8657i	0.129456	−	0.567185i	−0.868042	−	0.496491i	$-0.834622\pi$
$367$	2.48003	−	10.8657i	0.129456	−	0.567185i	0.997498	−	0.0706939i	$-0.0225213\pi$
$368$	19.3392	+	12.6680i	1.00812	+	0.660366i
$369$	8.93907	−	16.1812i	0.465349	−	0.842359i
$370$	−20.3083	−	0.665917i	−1.05578	−	0.0346194i
$371$	16.5826	−	20.7940i	0.860927	−	1.07957i
$372$	6.97025	−	3.51862i	0.361391	−	0.182432i
$373$	6.71625	−	29.4258i	0.347754	−	1.52361i	−0.434512	−	0.900666i	$-0.643079\pi$
$373$	6.71625	−	29.4258i	0.347754	−	1.52361i	0.782266	−	0.622945i	$-0.214064\pi$
$374$	−0.203918	+	6.21882i	−0.0105443	+	0.321568i
$375$	15.9063	+	10.6261i	0.821396	+	0.548728i
$376$	14.5919	+	14.1928i	0.752518	+	0.731937i
$377$	8.99760	+	18.4673i	0.463400	+	0.951115i
$378$	18.9108	+	23.9310i	0.972668	+	1.23088i
$379$	−12.3209	−	15.4499i	−0.632882	−	0.793609i	0.357211	−	0.934024i	$-0.383728\pi$
$379$	−12.3209	−	15.4499i	−0.632882	−	0.793609i	−0.990093	+	0.140415i	$0.955156\pi$
$380$	3.46185	+	1.03290i	0.177589	+	0.0529866i
$381$	35.0860	−	2.96277i	1.79751	−	0.151788i
$382$	−7.72547	−	17.4861i	−0.395270	−	0.894664i
$383$	0.946432	−	1.18679i	0.0483604	−	0.0606420i	−0.757063	−	0.653342i	$-0.773366\pi$
$383$	0.946432	−	1.18679i	0.0483604	−	0.0606420i	0.805424	+	0.592700i	$0.201938\pi$
$384$	18.6998	−	5.85819i	0.954269	−	0.298949i
$385$	17.2309	+	35.7803i	0.878167	+	1.82353i
$386$	20.6863	−	4.01317i	1.05291	−	0.204265i
$387$	9.51192	+	22.9517i	0.483518	+	1.16670i
$388$	−23.3382	+	16.2297i	−1.18482	+	0.823937i
$389$	13.7097			0.695111			0.347555	−	0.937659i	$-0.387012\pi$
$389$	13.7097			0.695111			0.347555	+	0.937659i	$0.387012\pi$
$390$	8.18018	−	19.4927i	0.414219	−	0.987049i
$391$	3.74894	−	4.70102i	0.189592	−	0.237741i
$392$	3.63726	+	28.6996i	0.183709	+	1.44955i
$393$	24.7108	+	3.48623i	1.24650	+	0.175857i
$394$	3.59881	+	0.946496i	0.181306	+	0.0476838i
$395$	−16.8465	+	34.9821i	−0.847640	+	1.76014i
$396$	25.1880	+	3.07472i	1.26574	+	0.154510i
$397$	−16.7409	+	8.06197i	−0.840200	+	0.404619i	−0.803931	−	0.594723i	$-0.797262\pi$
$397$	−16.7409	+	8.06197i	−0.840200	+	0.404619i	−0.0362692	+	0.999342i	$0.511547\pi$
$398$	−11.5424	+	2.23924i	−0.578568	+	0.112243i
$399$	2.91682	+	4.94367i	0.146024	+	0.247493i
$400$	−0.469146	−	0.0618669i	−0.0234573	−	0.00309335i
$401$	−11.5463	+	9.20790i	−0.576597	+	0.459820i	−0.867851	−	0.496825i	$-0.834499\pi$
$401$	−11.5463	+	9.20790i	−0.576597	+	0.459820i	0.291254	+	0.956646i	$0.405928\pi$
$402$	18.5979	+	3.24868i	0.927581	+	0.162029i
$403$	−1.91327	−	8.38260i	−0.0953070	−	0.417567i
$404$	1.52768	+	9.53657i	0.0760048	+	0.474462i
$405$	−19.2212	−	6.71771i	−0.955109	−	0.333806i
$406$	31.5979	+	0.891543i	1.56818	+	0.0442465i
$407$	−26.8585			−1.33133
$408$	−1.06396	−	4.98428i	−0.0526739	−	0.246759i
$409$	−15.0521	+	3.43553i	−0.744276	+	0.169876i	−0.577810	−	0.816171i	$-0.696093\pi$
$409$	−15.0521	+	3.43553i	−0.744276	+	0.169876i	−0.166466	+	0.986047i	$0.553236\pi$
$410$	−9.13169	+	17.4730i	−0.450982	+	0.862929i
$411$	14.1626	−	21.2001i	0.698589	−	1.04572i
$412$	−8.11807	−	20.1353i	−0.399949	−	0.991994i
$413$	−31.5927	+	7.21082i	−1.55457	+	0.354821i
$414$	−17.7419	−	16.9268i	−0.871969	−	0.831906i
$415$	2.00535	+	4.16416i	0.0984389	+	0.204411i
$416$	−1.30486	−	21.5395i	−0.0639761	−	1.05606i
$417$	1.88059	+	0.265315i	0.0920928	+	0.0129926i
$418$	4.61827	+	1.21462i	0.225887	+	0.0594088i
$419$	−2.82330	−	1.35963i	−0.137927	−	0.0664223i	0.363647	−	0.931537i	$-0.381531\pi$
$419$	−2.82330	−	1.35963i	−0.137927	−	0.0664223i	−0.501574	+	0.865114i	$0.667246\pi$
$420$	−20.7532	−	25.0488i	−1.01265	−	1.22226i
$421$	14.1184	+	11.2591i	0.688090	+	0.548734i	0.903922	−	0.427697i	$-0.140675\pi$
$421$	14.1184	+	11.2591i	0.688090	+	0.548734i	−0.215832	+	0.976430i	$0.569246\pi$
$422$	7.78273	−	9.12868i	0.378857	−	0.444377i
$423$	−12.4971	−	17.6061i	−0.607632	−	0.856037i
$424$	6.22252	+	17.0222i	0.302192	+	0.826672i
$425$	−0.0273864	+	0.119988i	−0.00132844	+	0.00582026i
$426$	−17.8738	+	9.77063i	−0.865989	+	0.473388i
$427$	20.5922	−	9.91668i	0.996527	−	0.479902i
$428$	−2.80113	+	9.38824i	−0.135398	+	0.453798i
$429$	9.96257	−	26.1065i	0.480998	−	1.26043i
$430$	−10.7079	−	24.2365i	−0.516379	−	1.16879i
$431$	6.58581	−	28.8543i	0.317227	−	1.38986i	−0.525166	−	0.851000i	$-0.675997\pi$
$431$	6.58581	−	28.8543i	0.317227	−	1.38986i	0.842393	−	0.538863i	$-0.181146\pi$
$432$	−20.6311	+	2.52151i	−0.992614	+	0.121316i
$433$	5.90071	−	4.70566i	0.283570	−	0.226140i	−0.471366	−	0.881937i	$-0.656239\pi$
$433$	5.90071	−	4.70566i	0.283570	−	0.226140i	0.754937	+	0.655798i	$0.227668\pi$
$434$	−12.7956	−	3.36526i	−0.614206	−	0.161538i
$435$	−18.1252	+	10.8060i	−0.869035	+	0.518110i
$436$	23.8868	+	13.4982i	1.14397	+	0.646447i
$437$	−2.87720	−	3.60789i	−0.137635	−	0.172589i
$438$	−9.57987	+	2.71189i	−0.457744	+	0.129579i
$439$	−9.09095	−	2.07495i	−0.433888	−	0.0990320i	−2.03377e−6	−	1.00000i	$-0.500001\pi$
$439$	−9.09095	−	2.07495i	−0.433888	−	0.0990320i	−0.433886	+	0.900968i	$0.642858\pi$
$440$	−26.9314	−	2.65690i	−1.28390	−	0.126663i
$441$	1.71473	−	30.6361i	0.0816537	−	1.45886i
$442$	−5.60933	−	0.183932i	−0.266808	−	0.00874877i
$443$	7.81371	+	16.2253i	0.371240	+	0.770889i	0.999977	−	0.00672946i	$-0.00214207\pi$
$443$	7.81371	+	16.2253i	0.371240	+	0.770889i	−0.628737	+	0.777618i	$0.716428\pi$
$444$	21.3530	−	5.29532i	1.01337	−	0.251305i
$445$	−18.7867	−	4.28795i	−0.890576	−	0.203268i
$446$	10.4593	+	8.91716i	0.495263	+	0.422240i
$447$	−16.7919	+	5.35379i	−0.794230	+	0.253226i
$448$	−30.3049	−	13.5723i	−1.43177	−	0.641231i
$449$	−10.2009	+	12.7915i	−0.481409	+	0.603668i	−0.961923	−	0.273319i	$-0.911879\pi$
$449$	−10.2009	+	12.7915i	−0.481409	+	0.603668i	0.480515	+	0.876987i	$0.340450\pi$
$450$	0.477512	+	0.154589i	0.0225101	+	0.00728741i
$451$	−11.3071	+	23.4795i	−0.532432	+	1.10561i
$452$	−21.4574	−	12.1254i	−1.00927	−	0.570331i
$453$	29.2457	+	4.12601i	1.37408	+	0.193857i
$454$	27.7353	+	14.4950i	1.30168	+	0.680283i
$455$	−32.2735	+	15.5421i	−1.51301	+	0.728626i
$456$	−3.91108	−	0.0551212i	−0.183153	−	0.00258129i
$457$	2.41706	+	10.5898i	0.113065	+	0.495372i	0.999473	+	0.0324659i	$0.0103360\pi$
$457$	2.41706	+	10.5898i	0.113065	+	0.495372i	−0.886407	+	0.462906i	$0.846807\pi$
$458$	−22.7180	+	16.9294i	−1.06154	+	0.791058i
$459$	0.153129	+	5.40357i	0.00714745	+	0.252217i
$460$	19.3341	+	17.6097i	0.901458	+	0.821057i
$461$	−2.44175	−	10.6980i	−0.113724	−	0.498256i	−0.999422	−	0.0339947i	$-0.989177\pi$
$461$	−2.44175	−	10.6980i	−0.113724	−	0.498256i	0.885698	−	0.464261i	$-0.153680\pi$
$462$	−28.5026	−	32.1935i	−1.32606	−	1.49778i
$463$		−	25.8090i		−	1.19945i	−0.800208	−	0.599723i	$-0.795278\pi$
$463$		−	25.8090i		−	1.19945i	0.800208	−	0.599723i	$-0.204722\pi$
$464$	−11.7208	+	18.0727i	−0.544122	+	0.839006i
$465$	8.41494	−	2.68295i	0.390233	−	0.124419i
$466$	−4.77115	−	10.7992i	−0.221019	−	0.500262i
$467$	25.0620	−	5.72024i	1.15973	−	0.264701i	0.400984	−	0.916085i	$-0.368668\pi$
$467$	25.0620	−	5.72024i	1.15973	−	0.264701i	0.758748	+	0.651384i	$0.225811\pi$
$468$	−2.77337	+	22.7193i	−0.128199	+	1.05020i
$469$	−19.9463	−	25.0119i	−0.921035	−	1.15494i
$470$	13.7588	+	18.4634i	0.634648	+	0.851652i
$471$	−11.5936	−	19.6498i	−0.534205	−	0.905416i
$472$	7.00362	−	20.9421i	0.322368	−	0.963937i
$473$	−15.1963	−	31.5555i	−0.698727	−	1.45092i
$474$	7.23377	−	41.4117i	0.332258	−	1.90210i
$475$	0.0851011	+	0.0409826i	0.00390471	+	0.00188041i
$476$	−4.24877	+	7.51872i	−0.194742	+	0.344620i
$477$	−3.22357	−	18.9511i	−0.147597	−	0.867710i
$478$	−5.58444	−	7.49392i	−0.255426	−	0.342764i
$479$	5.47609	+	4.36704i	0.250209	+	0.199535i	0.740560	−	0.671990i	$-0.234560\pi$
$479$	5.47609	+	4.36704i	0.250209	+	0.199535i	−0.490351	+	0.871525i	$0.663132\pi$
$480$	21.9348	−	3.19740i	1.00118	−	0.145941i
$481$		−	24.2262i		−	1.10462i
$482$	−17.3930	+	20.4009i	−0.792227	+	0.929236i
$483$	3.49629	+	41.4039i	0.159087	+	1.88394i
$484$	−13.7419	−	0.902178i	−0.624633	−	0.0410081i
$485$	−28.9713	+	13.9518i	−1.31552	+	0.633521i
$486$	22.0053	+	1.32986i	0.998179	+	0.0603237i
$487$	−8.57136	−	6.83543i	−0.388405	−	0.309743i	0.409746	−	0.912200i	$-0.365617\pi$
$487$	−8.57136	−	6.83543i	−0.388405	−	0.309743i	−0.798152	+	0.602457i	$0.794189\pi$
$488$	−1.52909	+	15.4995i	−0.0692187	+	0.701629i
$489$	−24.0893	+	2.03418i	−1.08936	+	0.0919889i
$490$	−1.07246	+	32.7066i	−0.0484490	+	1.47753i
$491$	1.95381	−	1.55811i	0.0881743	−	0.0703166i	−0.578411	−	0.815746i	$-0.696327\pi$
$491$	1.95381	−	1.55811i	0.0881743	−	0.0703166i	0.666585	+	0.745429i	$0.267755\pi$
$492$	4.36025	−	20.8959i	0.196575	−	0.942060i
$493$	4.39603	+	3.47296i	0.197987	+	0.156414i
$494$	−1.09557	+	4.16564i	−0.0492922	+	0.187421i
$495$	27.5834	+	7.94104i	1.23978	+	0.356923i
$496$	6.49466	−	6.25350i	0.291619	−	0.280790i
$497$	33.6516	+	7.68076i	1.50948	+	0.344529i
$498$	−3.31717	−	3.74672i	−0.148646	−	0.167895i
$499$	6.63744	+	5.29318i	0.297133	+	0.236955i	0.760696	−	0.649108i	$-0.224858\pi$
$499$	6.63744	+	5.29318i	0.297133	+	0.236955i	−0.463563	+	0.886064i	$0.653429\pi$
$500$	21.1663	+	6.31531i	0.946587	+	0.282429i
$501$	−1.43573	−	1.51834i	−0.0641437	−	0.0678342i
$502$	12.0532	−	2.33833i	0.537960	−	0.104365i
$503$	30.7886	+	7.02730i	1.37280	+	0.313332i	0.844421	−	0.535679i	$-0.179944\pi$
$503$	30.7886	+	7.02730i	1.37280	+	0.313332i	0.528375	+	0.849011i	$0.322802\pi$
$504$	29.0072	+	19.9749i	1.29208	+	0.889755i
$505$			10.9251i			0.486163i
$506$	26.3055	+	22.4270i	1.16942	+	0.997001i
$507$	2.51094	+	0.958205i	0.111515	+	0.0425554i
$508$	37.7085	−	15.2032i	1.67305	−	0.674532i
$509$	−11.9568	+	24.8285i	−0.529975	+	1.10050i	0.448432	+	0.893817i	$0.351983\pi$
$509$	−11.9568	+	24.8285i	−0.529975	+	1.10050i	−0.978407	+	0.206687i	$0.933732\pi$
$510$	−0.296572	−	5.75753i	−0.0131324	−	0.254948i
$511$	15.2002	+	7.32005i	0.672419	+	0.323820i
$512$	18.6421	−	12.8247i	0.823871	−	0.566778i
$513$	4.06925	+	0.808235i	0.179662	+	0.0356845i
$514$	−26.1433	+	5.07182i	−1.15313	+	0.223708i
$515$	−5.46472	−	23.9425i	−0.240804	−	1.05503i
$516$	18.3027	+	22.0911i	0.805732	+	0.972508i
$517$	18.9769	+	23.7963i	0.834604	+	1.04656i
$518$	−33.0388	−	17.2667i	−1.45164	−	0.758654i
$519$	−1.03532	−	1.75475i	−0.0454457	−	0.0770251i
$520$	2.39650	−	24.2919i	0.105093	−	1.06527i
$521$		−	6.75573i		−	0.295974i	−0.988989	−	0.147987i	$-0.952721\pi$
$521$		−	6.75573i		−	0.295974i	0.988989	−	0.147987i	$-0.0472794\pi$
$522$	15.6955	−	16.6027i	0.686975	−	0.726681i
$523$		−	39.0473i		−	1.70742i	−0.520748	−	0.853711i	$-0.674347\pi$
$523$		−	39.0473i		−	1.70742i	0.520748	−	0.853711i	$-0.325653\pi$
$524$	28.4534	−	4.55799i	1.24299	−	0.199117i
$525$	−0.432182	−	0.732498i	−0.0188620	−	0.0319688i
$526$	7.62444	−	14.5889i	0.332441	−	0.636108i
$527$	−1.46202	−	1.83331i	−0.0636864	−	0.0798602i
$528$	28.8399	−	5.17437i	1.25510	−	0.225186i
$529$	−2.31536	−	10.1442i	−0.100668	−	0.441054i
$530$	3.90450	+	20.1262i	0.169601	+	0.874226i
$531$	−11.3256	+	20.5013i	−0.491491	+	0.889680i
$532$	4.90012	+	4.46308i	0.212447	+	0.193499i
$533$	−21.1783	−	10.1989i	−0.917335	−	0.441765i
$534$	20.8361	−	1.07327i	0.901665	−	0.0464450i
$535$	−4.80849	+	9.98494i	−0.207889	+	0.431687i
$536$	21.6272	−	2.74094i	0.934154	−	0.118390i
$537$	−25.3746	−	9.68327i	−1.09499	−	0.417864i
$538$	10.1727	−	11.9320i	0.438576	−	0.514424i
$539$			43.2558i			1.86316i
$540$	−23.4949	−	0.875038i	−1.01106	−	0.0376556i
$541$	−22.5147	−	5.13882i	−0.967980	−	0.220935i	−0.290826	−	0.956776i	$-0.593930\pi$
$541$	−22.5147	−	5.13882i	−0.967980	−	0.220935i	−0.677155	+	0.735841i	$0.736787\pi$
$542$	2.67894	+	13.8089i	0.115070	+	0.593143i
$543$	25.6397	+	27.1149i	1.10030	+	1.16361i
$544$	−2.86936	−	5.13811i	−0.123023	−	0.220295i
$545$	24.2650	+	19.3507i	1.03940	+	0.828892i
$546$	29.0383	−	25.7091i	1.24272	−	1.10025i
$547$	−0.468541	−	0.106941i	−0.0200334	−	0.00457248i	0.212493	−	0.977163i	$-0.431842\pi$
$547$	−0.468541	−	0.106941i	−0.0200334	−	0.00457248i	−0.232526	+	0.972590i	$0.574699\pi$
$548$	8.41714	−	28.2108i	0.359562	−	1.20511i
$549$	4.57021	−	15.8747i	0.195052	−	0.677517i
$550$	−0.684285	−	0.179968i	−0.0291780	−	0.00767388i
$551$	3.34931	−	2.69613i	0.142686	−	0.114859i
$552$	−25.3350	−	12.6436i	−1.07833	−	0.538146i
$553$	−55.6935	+	44.4141i	−2.36833	+	1.88868i
$554$	23.5228	+	0.771324i	0.999389	+	0.0327704i
$555$	24.7976	−	2.09399i	1.05260	−	0.0888848i
$556$	2.16541	−	0.346881i	0.0918340	−	0.0147110i
$557$	1.65510	+	1.31990i	0.0701287	+	0.0559258i	0.657927	−	0.753082i	$-0.271434\pi$
$557$	1.65510	+	1.31990i	0.0701287	+	0.0559258i	−0.587798	+	0.809008i	$0.700005\pi$
$558$	−7.97524	+	5.27666i	−0.337619	+	0.223379i
$559$	28.4628	−	13.7069i	1.20385	−	0.579742i
$560$	−31.4204	−	20.5818i	−1.32775	−	0.869739i
$561$	−0.641224	−	7.59354i	−0.0270725	−	0.320599i
$562$	−11.2715	−	9.60964i	−0.475461	−	0.405358i
$563$			2.09901i			0.0884628i	0.999021	+	0.0442314i	$0.0140839\pi$
$563$			2.09901i			0.0884628i	−0.999021	+	0.0442314i	$0.985916\pi$
$564$	−19.7786	−	15.1771i	−0.832829	−	0.639071i
$565$	−21.7972	−	17.3826i	−0.917013	−	0.731293i
$566$	−0.819101	+	0.610391i	−0.0344294	+	0.0256567i
$567$	−26.4246	−	26.4048i	−1.10973	−	1.10890i
$568$	−16.3999	+	16.8610i	−0.688124	+	0.707473i
$569$	4.11046	+	1.97949i	0.172319	+	0.0829846i	0.518055	−	0.855347i	$-0.326656\pi$
$569$	4.11046	+	1.97949i	0.172319	+	0.0829846i	−0.345736	+	0.938332i	$0.612371\pi$
$570$	−4.35859	−	0.761356i	−0.182561	−	0.0318897i
$571$	−12.0139	−	24.9472i	−0.502767	−	1.04401i	−0.985725	−	0.168363i	$-0.946152\pi$
$571$	−12.0139	−	24.9472i	−0.502767	−	1.04401i	0.482958	−	0.875643i	$-0.339562\pi$
$572$	2.11374	−	32.1963i	0.0883797	−	1.34620i
$573$	11.8974	+	20.1648i	0.497023	+	0.842396i
$574$	−29.0034	+	21.6132i	−1.21058	+	0.902117i
$575$	0.426312	+	0.534578i	0.0177784	+	0.0222934i
$576$	−21.9081	+	9.79970i	−0.912839	+	0.408321i
$577$	44.0575	−	10.0558i	1.83414	−	0.418630i	0.841551	−	0.540178i	$-0.181643\pi$
$577$	44.0575	−	10.0558i	1.83414	−	0.418630i	0.992585	+	0.121548i	$0.0387860\pi$
$578$	20.5909	−	9.09723i	0.856470	−	0.378395i
$579$	−24.5883	+	7.83955i	−1.02186	+	0.325800i
$580$	−16.3251	+	18.0891i	−0.677862	+	0.751108i
$581$			8.47954i			0.351790i
$582$	26.0671	−	23.0785i	1.08051	−	0.956636i
$583$	6.03019	+	26.4200i	0.249745	+	1.09420i
$584$	−9.64869	+	6.25091i	−0.399266	+	0.258664i
$585$	−7.16275	+	24.8800i	−0.296143	+	1.02866i
$586$	22.9088	+	30.7419i	0.946353	+	1.26994i
$587$	0.0128961	+	0.0565013i	0.000532277	+	0.00233206i	0.975193	−	0.221355i	$-0.0710479\pi$
$587$	0.0128961	+	0.0565013i	0.000532277	+	0.00233206i	−0.974661	+	0.223687i	$0.928191\pi$
$588$	−8.52816	−	34.3892i	−0.351695	−	1.41819i
$589$	−1.62141	+	0.780832i	−0.0668092	+	0.0321736i
$590$	11.5697	−	22.1380i	0.476317	−	0.911406i
$591$	−4.51283	−	0.636674i	−0.185633	−	0.0261893i
$592$	21.7613	−	13.1061i	0.894383	−	0.538656i
$593$	−13.8589	+	28.7784i	−0.569119	+	1.18179i	0.395580	+	0.918432i	$0.370544\pi$
$593$	−13.8589	+	28.7784i	−0.569119	+	1.18179i	−0.964699	+	0.263356i	$0.915171\pi$
$594$	−31.0775	−	0.138227i	−1.27513	−	0.00567154i
$595$	−6.09092	+	7.63777i	−0.249703	+	0.313118i
$596$	−16.7083	+	11.6192i	−0.684401	+	0.475941i
$597$	13.7196	−	4.37425i	0.561506	−	0.179026i
$598$	−20.2290	+	23.7274i	−0.827224	+	0.970285i
$599$	−0.959699	−	0.219045i	−0.0392123	−	0.00894994i	0.202870	−	0.979206i	$-0.434973\pi$
$599$	−0.959699	−	0.219045i	−0.0392123	−	0.00894994i	−0.242082	+	0.970256i	$0.577830\pi$
$600$	0.579501	+	0.00816725i	0.0236580	+	0.000333427i
$601$	−1.58046	−	3.28185i	−0.0644682	−	0.133870i	0.866245	−	0.499620i	$-0.166527\pi$
$601$	−1.58046	−	3.28185i	−0.0644682	−	0.133870i	−0.930713	+	0.365750i	$0.880813\pi$
$602$	1.59315	−	48.5859i	0.0649321	−	1.98021i
$603$	−23.0865	−	1.29217i	−0.940155	−	0.0526213i
$604$	33.6751	−	5.39447i	1.37022	−	0.219498i
$605$	−15.1875	−	3.46645i	−0.617461	−	0.140931i
$606$	−3.22191	−	11.3815i	−0.130881	−	0.462343i
$607$	−10.7282	−	13.4527i	−0.435444	−	0.546029i	0.514892	−	0.857255i	$-0.327832\pi$
$607$	−10.7282	−	13.4527i	−0.435444	−	0.546029i	−0.950336	+	0.311226i	$0.899260\pi$
$608$	−4.33450	+	1.26946i	−0.175787	+	0.0514833i
$609$	−38.5622	+	3.43392i	−1.56262	+	0.139149i
$610$	−4.48115	+	17.0385i	−0.181437	+	0.689867i
$611$	−21.4641	+	17.1170i	−0.868344	+	0.692481i
$612$	2.00690	+	5.91058i	0.0811240	+	0.238921i
$613$	5.90990	−	25.8930i	0.238699	−	1.04581i	−0.703485	−	0.710710i	$-0.748374\pi$
$613$	5.90990	−	25.8930i	0.238699	−	1.04581i	0.942184	−	0.335097i	$-0.108769\pi$
$614$	27.7028	−	12.2393i	1.11800	−	0.493939i
$615$	8.60894	−	22.5594i	0.347146	−	0.909682i
$616$	−42.4017	−	25.8299i	−1.70841	−	1.04071i
$617$	13.2172	−	6.36506i	0.532104	−	0.256248i	−0.148483	−	0.988915i	$-0.547439\pi$
$617$	13.2172	−	6.36506i	0.532104	−	0.256248i	0.680587	+	0.732667i	$0.261725\pi$
$618$	12.7538	+	23.3311i	0.513034	+	0.938514i
$619$	−7.00771	+	30.7028i	−0.281664	+	1.23405i	0.613996	+	0.789309i	$0.289561\pi$
$619$	−7.00771	+	30.7028i	−0.281664	+	1.23405i	−0.895660	+	0.444740i	$0.853296\pi$
$620$	8.37307	−	5.82274i	0.336270	−	0.233847i
$621$	24.0012	+	18.0522i	0.963134	+	0.724409i
$622$	20.2465	+	17.2613i	0.811809	+	0.692114i
$623$	−27.6405	−	22.0426i	−1.10739	−	0.883118i
$624$	4.66724	+	26.0134i	0.186839	+	1.04137i
$625$	23.0445	+	11.0977i	0.921782	+	0.443907i
$626$	−1.02618	+	3.90179i	−0.0410144	+	0.155947i
$627$	−5.79120	−	0.817029i	−0.231278	−	0.0326290i
$628$	−19.4767	−	17.7396i	−0.777206	−	0.707887i
$629$	−2.86665	−	5.95266i	−0.114301	−	0.237348i
$630$	28.8254	+	27.5010i	1.14843	+	1.09567i
$631$	−2.03856	+	0.465288i	−0.0811538	+	0.0185228i	−0.262905	−	0.964822i	$-0.584681\pi$
$631$	−2.03856	+	0.465288i	−0.0811538	+	0.0185228i	0.181751	+	0.983345i	$0.441823\pi$
$632$	−6.10319	−	48.1569i	−0.242772	−	1.91558i
$633$	−8.16130	+	12.2167i	−0.324383	+	0.485571i
$634$	8.27705	+	4.32573i	0.328723	+	0.171797i
$635$	44.8385	−	10.2341i	1.77936	−	0.406128i
$636$	−10.0030	−	19.8155i	−0.396644	−	0.785735i
$637$	−39.0164			−1.54589
$638$	−20.7838	+	24.6051i	−0.822837	+	0.974123i
$639$	20.3440	−	14.4406i	0.804796	−	0.571260i
$640$	23.1168	−	10.9889i	0.913771	−	0.434376i
$641$	4.27510	+	18.7304i	0.168856	+	0.739808i	0.986457	+	0.164022i	$0.0524468\pi$
$641$	4.27510	+	18.7304i	0.168856	+	0.739808i	−0.817600	+	0.575786i	$0.804696\pi$
$642$	2.06473	−	11.8201i	0.0814885	−	0.466503i
$643$	0.0842578	−	0.0671933i	0.00332280	−	0.00264985i	−0.621827	−	0.783155i	$-0.713609\pi$
$643$	0.0842578	−	0.0671933i	0.00332280	−	0.00264985i	0.625150	+	0.780505i	$0.285038\pi$
$644$	17.9408	+	44.4988i	0.706968	+	1.75350i
$645$	16.4904	+	27.9493i	0.649310	+	1.10050i
$646$	0.223719	+	1.15319i	0.00880212	+	0.0453715i
$647$	4.06401	−	1.95713i	0.159773	−	0.0769425i	−0.352288	−	0.935891i	$-0.614596\pi$
$647$	4.06401	−	1.95713i	0.159773	−	0.0769425i	0.512061	+	0.858949i	$0.328882\pi$
$648$	24.7344	−	6.01723i	0.971661	−	0.236379i
$649$	14.3259	−	29.7481i	0.562342	−	1.16772i
$650$	0.162330	−	0.617219i	0.00636711	−	0.0242093i
$651$	16.0453	+	2.26369i	0.628866	+	0.0887210i
$652$	−25.8899	+	10.4382i	−1.01393	+	0.408792i
$653$	−13.4375	+	16.8501i	−0.525850	+	0.659395i	−0.971840	−	0.235643i	$-0.924280\pi$
$653$	−13.4375	+	16.8501i	−0.525850	+	0.659395i	0.445990	+	0.895038i	$0.352852\pi$
$654$	−30.9853	−	13.0031i	−1.21162	−	0.508462i
$655$	32.5964			1.27364
$656$	−2.29597	−	24.5410i	−0.0896424	−	0.958166i
$657$	11.2649	−	4.66853i	0.439484	−	0.182137i
$658$	8.04557	+	41.4718i	0.313649	+	1.61674i
$659$	2.45496	+	5.09779i	0.0956318	+	0.198582i	0.943297	−	0.331950i	$-0.107707\pi$
$659$	2.45496	+	5.09779i	0.0956318	+	0.198582i	−0.847665	+	0.530532i	$0.821992\pi$
$660$	33.1384	−	0.619297i	1.28991	−	0.0241061i
$661$	21.4973	−	26.9567i	0.836147	−	1.04850i	−0.161948	−	0.986799i	$-0.551778\pi$
$661$	21.4973	−	26.9567i	0.836147	−	1.04850i	0.998095	−	0.0616960i	$-0.0196509\pi$
$662$	11.5323	−	5.09508i	0.448217	−	0.198026i
$663$	6.84931	−	0.578379i	0.266005	−	0.0224624i
$664$	−4.93477	−	3.00611i	−0.191506	−	0.116660i
$665$	4.67459	+	5.86176i	0.181273	+	0.227309i
$666$	−25.2159	+	9.49444i	−0.977097	+	0.367902i
$667$	30.3124	−	7.06453i	1.17370	−	0.273540i
$668$	−2.10072	−	1.18710i	−0.0812792	−	0.0459302i
$669$	−13.9975	−	9.35092i	−0.541174	−	0.361528i
$670$	24.6468	+	0.808180i	0.952189	+	0.0312227i
$671$	−5.18203	+	22.7040i	−0.200050	+	0.876477i
$672$	38.8027	+	12.1755i	1.49685	+	0.469678i
$673$	−8.96706	+	11.2443i	−0.345655	+	0.433438i	−0.924022	−	0.382339i	$-0.875119\pi$
$673$	−8.96706	+	11.2443i	−0.345655	+	0.433438i	0.578367	+	0.815777i	$0.303690\pi$
$674$	0.495902	−	15.1234i	0.0191014	−	0.582530i
$675$	−0.602937	−	0.119755i	−0.0232070	−	0.00460939i
$676$	3.09666	+	0.203300i	0.119102	+	0.00781924i
$677$	−8.96200	+	39.2651i	−0.344438	+	1.50908i	0.445158	+	0.895452i	$0.353148\pi$
$677$	−8.96200	+	39.2651i	−0.344438	+	1.50908i	−0.789596	+	0.613628i	$0.789710\pi$
$678$	27.8340	+	11.6807i	1.06896	+	0.448593i
$679$	−58.9947			−2.26401
$680$	−2.28558	−	6.25238i	−0.0876479	−	0.239768i
$681$	−35.8091	−	13.6652i	−1.37221	−	0.523652i
$682$	10.8096	−	8.05526i	0.413920	−	0.308452i
$683$	−1.56961	−	0.755883i	−0.0600594	−	0.0289231i	0.403613	−	0.914930i	$-0.367754\pi$
$683$	−1.56961	−	0.755883i	−0.0600594	−	0.0289231i	−0.463672	+	0.886007i	$0.653469\pi$
$684$	4.76520	−	0.492219i	0.182202	−	0.0188205i
$685$	14.4491	−	30.0038i	0.552071	−	1.14639i
$686$	−8.77637	+	16.7931i	−0.335083	+	0.641163i
$687$	25.2127	−	23.8409i	0.961923	−	0.909589i
$688$	27.7104	+	18.1515i	1.05645	+	0.692021i
$689$	−23.8306	+	5.43918i	−0.907874	+	0.207216i
$690$	−26.0355	−	18.6552i	−0.991155	−	0.710192i
$691$	−7.58622	+	6.04981i	−0.288594	+	0.230146i	−0.757075	−	0.653327i	$-0.773373\pi$
$691$	−7.58622	+	6.04981i	−0.288594	+	0.230146i	0.468482	+	0.883473i	$0.344801\pi$
$692$	−1.73930	−	1.58417i	−0.0661181	−	0.0602211i
$693$	39.2731	+	35.0834i	1.49186	+	1.33271i
$694$	−35.1077	+	15.5109i	−1.33267	+	0.588784i
$695$	2.48071			0.0940987
$696$	11.6724	−	23.6591i	0.442443	−	0.896797i
$697$	−6.41059			−0.242818
$698$	−24.8915	+	10.9973i	−0.942158	+	0.416253i
$699$	7.34771	+	12.4535i	0.277916	+	0.471035i
$700$	−0.726045	−	0.661290i	−0.0274419	−	0.0249944i
$701$	−4.08783	+	3.25993i	−0.154395	+	0.123126i	−0.697641	−	0.716448i	$-0.745767\pi$
$701$	−4.08783	+	3.25993i	−0.154395	+	0.123126i	0.543245	+	0.839574i	$0.317195\pi$
$702$	0.124680	−	28.0317i	0.00470574	−	1.05799i
$703$	−4.94350	+	1.12832i	−0.186448	+	0.0425555i
$704$	30.0640	−	15.5191i	1.13308	−	0.584900i
$705$	−19.3760	−	20.4908i	−0.729742	−	0.771729i
$706$	−22.9869	+	43.9842i	−0.865124	+	1.65537i
$707$	−8.69671	+	18.0589i	−0.327074	+	0.679175i
$708$	−5.52436	+	26.4748i	−0.207618	+	0.994982i
$709$	39.8284	+	19.1804i	1.49579	+	0.720334i	0.989834	−	0.142227i	$-0.0454262\pi$
$709$	39.8284	+	19.1804i	1.49579	+	0.720334i	0.505954	+	0.862560i	$0.331140\pi$
$710$	−21.3346	+	15.8985i	−0.800673	+	0.596659i
$711$	−2.87725	+	51.4062i	−0.107905	+	1.92788i
$712$	22.6269	−	8.27134i	0.847979	−	0.309981i
$713$	−13.0274			−0.487879
$714$	4.09293	−	9.75309i	0.153174	−	0.365000i
$715$	8.12164	−	35.5832i	0.303732	−	1.33074i
$716$	−31.2937	−	2.05448i	−1.16950	−	0.0767794i
$717$	7.86433	+	8.31682i	0.293699	+	0.310597i
$718$	0.869029	−	26.5025i	0.0324319	−	0.989064i
$719$	−9.21344	+	11.5533i	−0.343604	+	0.430865i	−0.923366	−	0.383920i	$-0.874574\pi$
$719$	−9.21344	+	11.5533i	−0.343604	+	0.430865i	0.579763	+	0.814785i	$0.303145\pi$
$720$	−26.2235	+	7.02579i	−0.977293	+	0.261836i
$721$	10.0259	−	43.9262i	0.373383	−	1.63590i
$722$	−25.9546	−	0.851062i	−0.965929	−	0.0316733i
$723$	18.2390	−	27.3021i	0.678316	−	1.01538i
$724$	37.5153	+	21.1996i	1.39424	+	0.787876i
$725$	−0.496264	+	0.399482i	−0.0184308	+	0.0148364i
$726$	16.8443	−	0.867652i	0.625149	−	0.0322016i
$727$	21.8270	+	27.3702i	0.809520	+	1.01511i	0.999445	+	0.0333073i	$0.0106040\pi$
$727$	21.8270	+	27.3702i	0.809520	+	1.01511i	−0.189925	+	0.981799i	$0.560825\pi$
$728$	23.2983	−	38.2460i	0.863494	−	1.41749i
$729$	−26.9567	+	1.52905i	−0.998395	+	0.0566315i
$730$	−11.8955	+	5.25551i	−0.440272	+	0.194515i
$731$	5.37172	−	6.73592i	0.198680	−	0.249137i
$732$	−0.356417	−	19.0717i	−0.0131735	−	0.704912i
$733$	13.5899	+	28.2197i	0.501953	+	1.04232i	0.985918	+	0.167229i	$0.0534820\pi$
$733$	13.5899	+	28.2197i	0.501953	+	1.04232i	−0.483965	+	0.875087i	$0.660804\pi$
$734$	3.00180	+	15.4731i	0.110798	+	0.571123i
$735$	−3.37238	−	39.9367i	−0.124392	−	1.47309i
$736$	−32.2569	−	5.33454i	−1.18900	−	0.196634i
$737$	32.5964			1.20070
$738$	−2.31565	+	26.0406i	−0.0852402	+	0.958568i
$739$	−5.60113	+	7.02359i	−0.206041	+	0.258367i	−0.874105	−	0.485736i	$-0.838552\pi$
$739$	−5.60113	+	7.02359i	−0.206041	+	0.258367i	0.668065	+	0.744103i	$0.267123\pi$
$740$	26.6511	−	10.7451i	0.979714	−	0.394997i
$741$	0.736953	−	5.22362i	0.0270727	−	0.191894i
$742$	−9.56698	+	36.3761i	−0.351215	+	1.33541i
$743$	5.74348	−	11.9265i	0.210708	−	0.437539i	−0.768651	−	0.639668i	$-0.779072\pi$
$743$	5.74348	−	11.9265i	0.210708	−	0.437539i	0.979359	+	0.202129i	$0.0647861\pi$
$744$	−7.00568	+	8.53526i	−0.256841	+	0.312918i
$745$	−20.7412	+	9.98845i	−0.759900	+	0.365949i
$746$	8.12929	+	41.9033i	0.297634	+	1.53419i
$747$	4.57066	+	4.08305i	0.167232	+	0.149391i
$748$	−3.29038	−	8.16113i	−0.120308	−	0.298401i
$749$	−15.8966	+	12.6771i	−0.580848	+	0.463211i
$750$	−26.6491	−	4.65506i	−0.973088	−	0.169979i
$751$	−7.70916	−	33.7760i	−0.281311	−	1.23250i	−0.896114	−	0.443824i	$-0.853622\pi$
$751$	−7.70916	−	33.7760i	−0.281311	−	1.23250i	0.614803	−	0.788681i	$-0.289235\pi$
$752$	−26.9873	−	10.0201i	−0.984125	−	0.365396i
$753$	−14.3267	+	4.56782i	−0.522095	+	0.166461i
$754$	−22.1936	−	18.7468i	−0.808242	−	0.682718i
$755$	38.5784			1.40401
$756$	−38.1398	−	20.1490i	−1.38713	−	0.732812i
$757$	0.913918	−	0.208596i	0.0332169	−	0.00758154i	−0.205880	−	0.978577i	$-0.566006\pi$
$757$	0.913918	−	0.208596i	0.0332169	−	0.00758154i	0.239097	+	0.970996i	$0.423149\pi$
$758$	24.7680	+	12.9442i	0.899616	+	0.470155i
$759$	−35.2042	−	23.5179i	−1.27783	−	0.853646i
$760$	−5.06853	+	0.642362i	−0.183855	+	0.0233009i
$761$	−4.24898	+	0.969802i	−0.154025	+	0.0351553i	−0.298838	−	0.954304i	$-0.596599\pi$
$761$	−4.24898	+	0.969802i	−0.154025	+	0.0351553i	0.144813	+	0.989459i	$0.453742\pi$
$762$	−43.6935	+	23.8848i	−1.58285	+	0.865256i
$763$	24.7056	+	51.3016i	0.894401	+	1.85724i
$764$	19.9871	+	18.2045i	0.723110	+	0.658616i
$765$	1.18404	+	6.96087i	0.0428091	+	0.251671i
$766$	−0.546023	+	2.07612i	−0.0197286	+	0.0750131i
$767$	26.8326	+	12.9219i	0.968868	+	0.466582i
$768$	−20.8417	+	18.2653i	−0.752062	+	0.659093i
$769$	−30.2990	−	24.1627i	−1.09261	−	0.871328i	−0.100283	−	0.994959i	$-0.531975\pi$
$769$	−30.2990	−	24.1627i	−1.09261	−	0.871328i	−0.992328	+	0.123631i	$0.960546\pi$
$770$	−42.7387	−	36.4372i	−1.54020	−	1.31311i
$771$	31.0746	−	9.90757i	1.11912	−	0.356812i
$772$	−24.4660	+	17.0140i	−0.880550	+	0.612346i
$773$	6.92394	−	30.3358i	0.249037	−	1.09110i	−0.683478	−	0.729971i	$-0.739534\pi$
$773$	6.92394	−	30.3358i	0.249037	−	1.09110i	0.932515	−	0.361131i	$-0.117609\pi$
$774$	−25.4218	−	24.2537i	−0.913766	−	0.871783i
$775$	0.240243	−	0.115695i	0.00862979	−	0.00415589i
$776$	20.9144	−	34.3327i	0.750785	−	1.23247i
$777$	42.6564	+	16.2782i	1.53029	+	0.583978i
$778$	−17.7347	+	7.83534i	−0.635821	+	0.280911i
$779$	−1.09479	+	4.79658i	−0.0392249	+	0.171855i
$780$	0.558601	+	29.8906i	0.0200011	+	1.07025i
$781$	−27.4968	+	21.9280i	−0.983914	+	0.784646i
$782$	−2.16287	+	8.22377i	−0.0773441	+	0.294081i
$783$	−16.7175	+	22.4394i	−0.597433	+	0.801919i
$784$	−21.1074	−	35.0467i	−0.753836	−	1.25167i
$785$	−18.5803	−	23.2990i	−0.663160	−	0.831577i
$786$	−33.9580	+	9.61291i	−1.21124	+	0.342881i
$787$	−28.9831	−	6.61521i	−1.03314	−	0.235807i	−0.327851	−	0.944729i	$-0.606324\pi$
$787$	−28.9831	−	6.61521i	−1.03314	−	0.235807i	−0.705286	+	0.708922i	$0.749182\pi$
$788$	−5.19632	+	0.832406i	−0.185111	+	0.0296532i
$789$	−7.18797	+	18.8358i	−0.255899	+	0.670571i
$790$	1.79956	−	54.8805i	0.0640254	−	1.95256i
$791$	−22.1929	−	46.0841i	−0.789090	−	1.63856i
$792$	−34.3401	+	10.4179i	−1.22022	+	0.370185i
$793$	−20.4788	−	4.67415i	−0.727223	−	0.165984i
$794$	17.0482	−	19.9966i	0.605019	−	0.709651i
$795$	−7.62727	−	23.9225i	−0.270511	−	0.848445i
$796$	13.6513	−	9.49332i	0.483859	−	0.336482i
$797$	−23.0573	+	28.9129i	−0.816731	+	1.02415i	0.182431	+	0.983219i	$0.441603\pi$
$797$	−23.0573	+	28.9129i	−0.816731	+	1.02415i	−0.999162	+	0.0409298i	$0.986968\pi$
$798$	−6.59855	−	4.72805i	−0.233586	−	0.167371i
$799$	−3.24855	+	6.74568i	−0.114925	+	0.238645i
$800$	0.642239	−	0.188094i	0.0227066	−	0.00665014i
$801$	−25.1909	+	4.28496i	−0.890076	+	0.151402i
$802$	9.67373	−	18.5101i	0.341591	−	0.653616i
$803$	−15.4877	+	7.45848i	−0.546549	+	0.263204i
$804$	−25.9147	+	6.42658i	−0.913942	+	0.226648i
$805$	12.0770	+	52.9126i	0.425657	+	1.86493i
$806$	7.26578	+	9.75016i	0.255926	+	0.343435i
$807$	−10.6675	+	15.9683i	−0.375515	+	0.562111i
$808$	−7.42650	−	11.4633i	−0.261263	−	0.403277i
$809$	−7.91929	−	34.6967i	−0.278427	−	1.21987i	−0.899782	−	0.436340i	$-0.856274\pi$
$809$	−7.91929	−	34.6967i	−0.278427	−	1.21987i	0.621354	−	0.783530i	$-0.286583\pi$
$810$	28.7036	−	2.29530i	1.00854	−	0.0806485i
$811$		−	13.4746i		−	0.473158i	−0.971612	−	0.236579i	$-0.923974\pi$
$811$		−	13.4746i		−	0.473158i	0.971612	−	0.236579i	$-0.0760263\pi$
$812$	−41.3842	+	16.9055i	−1.45230	+	0.593265i
$813$	−5.23319	−	16.4136i	−0.183536	−	0.575651i
$814$	34.7438	−	15.3501i	1.21777	−	0.538020i
$815$	−30.7852	+	7.02653i	−1.07836	+	0.246129i
$816$	4.22493	+	5.83953i	0.147902	+	0.204425i
$817$	−4.12263	−	5.16962i	−0.144233	−	0.180862i
$818$	17.5077	−	13.0467i	0.612142	−	0.456166i
$819$	−31.6449	+	35.4240i	−1.10576	+	1.23782i
$820$	1.82654	−	27.8217i	0.0637855	−	0.971577i
$821$	5.80776	+	12.0599i	0.202692	+	0.420895i	0.977392	−	0.211434i	$-0.0678134\pi$
$821$	5.80776	+	12.0599i	0.202692	+	0.420895i	−0.774700	+	0.632329i	$0.782099\pi$
$822$	−6.20433	+	35.5183i	−0.216401	+	1.23884i
$823$	7.30807	+	3.51938i	0.254743	+	0.122678i	0.556898	−	0.830581i	$-0.311992\pi$
$823$	7.30807	+	3.51938i	0.254743	+	0.122678i	−0.302154	+	0.953259i	$0.597706\pi$
$824$	22.0091	+	21.4071i	0.766723	+	0.745753i
$825$	0.858077	+	0.121058i	0.0298744	+	0.00421471i
$826$	36.7468	−	27.3836i	1.27858	−	0.952796i
$827$	−18.4777	−	14.7355i	−0.642534	−	0.512404i	0.247152	−	0.968977i	$-0.420505\pi$
$827$	−18.4777	−	14.7355i	−0.642534	−	0.512404i	−0.889686	+	0.456573i	$0.849077\pi$
$828$	32.6247	+	11.7565i	1.13379	+	0.408565i
$829$			44.5437i			1.54707i	0.633756	+	0.773533i	$0.281512\pi$
$829$			44.5437i			1.54707i	−0.633756	+	0.773533i	$0.718488\pi$
$830$	−4.97399	−	4.24061i	−0.172650	−	0.147194i
$831$	−28.7227	+	2.42544i	−0.996380	+	0.0841376i
$832$	13.9981	+	27.1175i	0.485298	+	0.940130i
$833$	−9.58680	+	4.61676i	−0.332163	+	0.159961i
$834$	−2.58434	+	0.731579i	−0.0894883	+	0.0253325i
$835$	−2.13398	−	1.70179i	−0.0738494	−	0.0588929i
$836$	−6.66831	+	1.06821i	−0.230628	+	0.0369447i
$837$	8.94630	−	7.55878i	0.309229	−	0.261270i
$838$	4.42924	+	0.145237i	0.153005	+	0.00501712i
$839$	3.54921	−	2.83040i	0.122532	−	0.0977164i	−0.560306	−	0.828285i	$-0.689317\pi$
$839$	3.54921	−	2.83040i	0.122532	−	0.0977164i	0.682839	+	0.730569i	$0.260745\pi$
$840$	41.1619	+	20.5421i	1.42022	+	0.708768i
$841$	6.71130	+	28.2127i	0.231424	+	0.972853i
$842$	−24.6982	−	6.49567i	−0.851155	−	0.223856i
$843$	15.0845	+	10.0771i	0.519537	+	0.347073i
$844$	−4.85044	+	16.2567i	−0.166959	+	0.559579i
$845$	3.42241	+	0.781143i	0.117735	+	0.0268722i
$846$	26.2283	+	15.6327i	0.901748	+	0.537463i
$847$	−22.3451	−	17.8196i	−0.767787	−	0.612289i
$848$	−17.7779	−	18.4634i	−0.610494	−	0.634037i
$849$	0.909046	−	0.859589i	0.0311984	−	0.0295010i
$850$	−0.0331483	−	0.170866i	−0.00113698	−	0.00586067i
$851$	−35.7855	−	8.16781i	−1.22671	−	0.279989i
$852$	17.5373	−	22.8543i	0.600817	−	0.782977i
$853$		−	41.5741i		−	1.42347i	−0.702449	−	0.711735i	$-0.747910\pi$
$853$		−	41.5741i		−	1.42347i	0.702449	−	0.711735i	$-0.252090\pi$
$854$	−20.9703	+	24.5969i	−0.717588	+	0.841688i
$855$	5.41052	+	0.302832i	0.185036	+	0.0103566i
$856$	−1.74203	−	13.7454i	−0.0595414	−	0.469808i
$857$	22.0032	−	45.6902i	0.751616	−	1.56075i	−0.0744830	−	0.997222i	$-0.523731\pi$
$857$	22.0032	−	45.6902i	0.751616	−	1.56075i	0.826099	−	0.563525i	$-0.190555\pi$
$858$	2.03284	+	39.4648i	0.0694001	+	1.34731i
$859$	0.876605	+	0.422151i	0.0299094	+	0.0144036i	0.448779	−	0.893643i	$-0.351859\pi$
$859$	0.876605	+	0.422151i	0.0299094	+	0.0144036i	−0.418869	+	0.908047i	$0.637573\pi$
$860$	27.7031	+	25.2323i	0.944669	+	0.860414i
$861$	32.1882	−	30.4370i	1.09697	−	1.03729i
$862$	7.97140	+	41.0895i	0.271507	+	1.39951i
$863$	5.34315	+	23.4099i	0.181883	+	0.796881i	0.980733	+	0.195352i	$0.0625848\pi$
$863$	5.34315	+	23.4099i	0.181883	+	0.796881i	−0.798850	+	0.601530i	$0.794558\pi$
$864$	25.2470	−	15.0528i	0.858922	−	0.512107i
$865$	−1.65925	−	2.08063i	−0.0564161	−	0.0707435i
$866$	−4.94372	+	9.45954i	−0.167995	+	0.321448i
$867$	−23.7453	+	14.0100i	−0.806433	+	0.475805i
$868$	18.4755	−	2.95961i	0.627098	−	0.100456i
$869$		−	72.5817i		−	2.46217i
$870$	17.2707	−	24.3374i	0.585530	−	0.825115i
$871$			29.4017i			0.996238i
$872$	−38.6141	−	3.80944i	−1.30764	−	0.129004i
$873$	−28.4070	+	31.7995i	−0.961432	+	1.07625i
$874$	5.78388	+	3.02276i	0.195643	+	0.102246i
$875$	28.5812	+	35.8397i	0.966222	+	1.21160i
$876$	10.8425	−	8.98312i	0.366335	−	0.303512i
$877$	−2.93790	−	12.8718i	−0.0992057	−	0.434649i	−1.00000		0.000402428i	$-0.999872\pi$
$877$	−2.93790	−	12.8718i	−0.0992057	−	0.434649i	0.900794	−	0.434246i	$-0.142985\pi$
$878$	12.9458	−	2.51150i	0.436900	−	0.0847591i
$879$	−32.2615	−	34.1177i	−1.08815	−	1.15076i
$880$	36.3565	−	11.9548i	1.22558	−	0.402996i
$881$	12.5531	+	6.04527i	0.422926	+	0.203670i	0.633227	−	0.773966i	$-0.281730\pi$
$881$	12.5531	+	6.04527i	0.422926	+	0.203670i	−0.210301	+	0.977637i	$0.567444\pi$
$882$	15.2909	+	40.6104i	0.514871	+	1.36742i
$883$	−1.26562	+	2.62808i	−0.0425914	+	0.0884420i	−0.921179	−	0.389140i	$-0.872772\pi$
$883$	−1.26562	+	2.62808i	−0.0425914	+	0.0884420i	0.878587	+	0.477582i	$0.158487\pi$
$884$	7.36128	−	2.96789i	0.247587	−	0.0998210i
$885$	−10.9074	+	28.5823i	−0.366648	+	0.960785i
$886$	−19.3808	−	16.5232i	−0.651109	−	0.555108i
$887$		−	28.9169i		−	0.970936i	−0.874255	−	0.485468i	$-0.838649\pi$
$887$		−	28.9169i		−	0.970936i	0.874255	−	0.485468i	$-0.161351\pi$
$888$	−24.5956	+	19.0536i	−0.825375	+	0.639396i
$889$	82.2632	+	18.7760i	2.75902	+	0.629728i
$890$	26.7529	−	5.19009i	0.896760	−	0.173972i
$891$	37.8215	−	4.27581i	1.26707	−	0.143245i
$892$	−18.6263	−	5.55746i	−0.623656	−	0.186078i
$893$	4.49252	+	3.58267i	0.150336	+	0.119889i
$894$	18.6620	−	16.5225i	0.624151	−	0.552594i
$895$	−34.5856	−	7.89395i	−1.15607	−	0.263866i
$896$	46.9588	+	0.237215i	1.56878	+	0.00792478i
$897$	21.2130	−	31.7539i	0.708280	−	1.06023i
$898$	5.88517	−	22.3769i	0.196391	−	0.746726i
$899$	−0.0554824	−	12.1379i	−0.00185044	−	0.404822i
$900$	−0.706054	+	0.0729316i	−0.0235351	+	0.00243105i
$901$	−5.21186	+	4.15632i	−0.173632	+	0.138467i
$902$	1.20784	−	36.8350i	0.0402165	−	1.22647i
$903$	5.00970	+	59.3262i	0.166712	+	1.97425i
$904$	34.6869	+	3.42201i	1.15367	+	0.113814i
$905$	38.1093	+	30.3911i	1.26679	+	1.01024i
$906$	−40.1900	+	11.3770i	−1.33522	+	0.377977i
$907$	−11.8083	+	5.68656i	−0.392087	+	0.188819i	−0.619531	−	0.784972i	$-0.712677\pi$
$907$	−11.8083	+	5.68656i	−0.392087	+	0.188819i	0.227444	+	0.973791i	$0.426963\pi$
$908$	−44.1622	−	2.89931i	−1.46557	−	0.0962171i
$909$	5.54653	+	13.3834i	0.183967	+	0.443900i
$910$	32.8661	−	38.5500i	1.08950	−	1.27792i
$911$			4.50902i			0.149390i	0.997206	+	0.0746952i	$0.0237984\pi$
$911$			4.50902i			0.149390i	−0.997206	+	0.0746952i	$0.976202\pi$
$912$	5.09083	−	2.16394i	0.168574	−	0.0716553i
$913$	−6.75494	−	5.38688i	−0.223556	−	0.178280i
$914$	−9.17895	−	12.3175i	−0.303613	−	0.407426i
$915$	3.01431	−	21.3658i	0.0996501	−	0.706332i
$916$	19.7123	−	34.8834i	0.651313	−	1.15258i
$917$	53.8807	+	25.9476i	1.77930	+	0.856865i
$918$	−3.28631	−	6.90247i	−0.108465	−	0.227815i
$919$	23.4577	+	48.7104i	0.773798	+	1.60681i	0.794681	+	0.607027i	$0.207638\pi$
$919$	23.4577	+	48.7104i	0.773798	+	1.60681i	−0.0208833	+	0.999782i	$0.506648\pi$
$920$	−35.0746	−	11.7299i	−1.15638	−	0.386725i
$921$	−31.9467	+	18.8489i	−1.05268	+	0.621092i
$922$	9.27271	+	12.4433i	0.305380	+	0.409798i
$923$	−19.7789	−	24.8019i	−0.651030	−	0.816366i
$924$	55.2697	+	25.3554i	1.81824	+	0.834131i
$925$	0.732474	−	0.167182i	0.0240836	−	0.00549692i
$926$	14.7503	+	33.3862i	0.484724	+	1.09714i
$927$	−18.8496	−	26.5555i	−0.619101	−	0.872195i
$928$	4.83295	−	30.0773i	0.158649	−	0.987335i
$929$			27.3832i			0.898415i	0.893427	+	0.449208i	$0.148294\pi$
$929$			27.3832i			0.898415i	−0.893427	+	0.449208i	$0.851706\pi$
$930$	−9.35211	+	8.27991i	−0.306668	+	0.271509i
$931$	1.81717	+	7.96155i	0.0595554	+	0.260929i
$932$	12.3438	+	11.2429i	0.404335	+	0.368273i
$933$	−27.0954	−	18.1009i	−0.887065	−	0.592598i
$934$	−29.1507	+	21.7230i	−0.953840	+	0.710798i
$935$	−2.21493	−	9.70425i	−0.0724360	−	0.317363i
$936$	−9.39688	−	30.9745i	−0.307147	−	1.01243i
$937$	−40.5949	+	19.5495i	−1.32618	+	0.638653i	−0.956833	−	0.290640i	$-0.906132\pi$
$937$	−40.5949	+	19.5495i	−1.32618	+	0.638653i	−0.369344	+	0.929293i	$0.620418\pi$
$938$	40.0970	+	20.9554i	1.30921	+	0.684219i
$939$	0.690274	−	4.89275i	0.0225262	−	0.159669i
$940$	−28.3504	−	16.0206i	−0.924688	−	0.522534i
$941$	20.4429	−	42.4501i	0.666420	−	1.38383i	−0.243848	−	0.969814i	$-0.578410\pi$
$941$	20.4429	−	42.4501i	0.666420	−	1.38383i	0.910267	−	0.414021i	$-0.135876\pi$
$942$	26.2276	+	18.7928i	0.854540	+	0.612303i
$943$	−22.2055	+	27.8449i	−0.723111	+	0.906753i
$944$	2.90895	+	31.0931i	0.0946782	+	1.01199i
$945$	−38.9948	−	29.3294i	−1.26850	−	0.954087i
$946$	37.6922	+	32.1348i	1.22548	+	1.04479i
$947$	−16.4833	−	3.76220i	−0.535634	−	0.122255i	−0.0538569	−	0.998549i	$-0.517151\pi$
$947$	−16.4833	−	3.76220i	−0.535634	−	0.122255i	−0.481777	+	0.876294i	$0.660009\pi$
$948$	14.3099	+	57.7038i	0.464765	+	1.87413i
$949$	−6.72749	−	13.9698i	−0.218384	−	0.453478i
$950$	−0.133508	−	0.00437779i	−0.00433157	−	0.000142034i
$951$	−10.6865	−	4.07810i	−0.346533	−	0.132242i
$952$	1.19908	−	12.1544i	0.0388624	−	0.393925i
$953$	16.5325	+	3.77343i	0.535539	+	0.122233i	0.481733	−	0.876318i	$-0.340008\pi$
$953$	16.5325	+	3.77343i	0.535539	+	0.122233i	0.0538062	+	0.998551i	$0.482865\pi$
$954$	15.0008	+	22.6726i	0.485670	+	0.734051i
$955$	19.0673	+	23.9096i	0.617002	+	0.773696i
$956$	11.5069	+	6.50244i	0.372159	+	0.210304i
$957$	21.7623	−	32.9008i	0.703476	−	1.06353i
$958$	−9.57964	−	2.51947i	−0.309504	−	0.0814003i
$959$	47.7677	−	38.0935i	1.54250	−	1.23010i
$960$	−26.5472	+	16.6722i	−0.856806	+	0.538093i
$961$	5.76765	−	25.2697i	0.186053	−	0.815152i
$962$	13.8457	+	31.3386i	0.446402	+	1.01040i
$963$	−0.821253	+	14.6729i	−0.0264645	+	0.472826i
$964$	10.8398	−	36.3307i	0.349128	−	1.17013i
$965$	−30.3713	+	14.6261i	−0.977688	+	0.470830i
$966$	−28.1858	−	51.5614i	−0.906863	−	1.65896i
$967$	−5.98044	+	26.2020i	−0.192318	+	0.842600i	0.783040	+	0.621971i	$0.213668\pi$
$967$	−5.98044	+	26.2020i	−0.192318	+	0.842600i	−0.975358	+	0.220629i	$0.929189\pi$
$968$	18.2920	−	6.68670i	0.587927	−	0.214919i
$969$	−0.437025	−	1.37071i	−0.0140393	−	0.0440335i
$970$	29.5032	−	34.6055i	0.947291	−	1.11112i
$971$	−12.8497	−	10.2473i	−0.412366	−	0.328851i	0.395235	−	0.918580i	$-0.370663\pi$
$971$	−12.8497	−	10.2473i	−0.412366	−	0.328851i	−0.807601	+	0.589729i	$0.799234\pi$
$972$	−29.2258	+	10.8561i	−0.937417	+	0.348209i
$973$	4.10053	+	1.97471i	0.131457	+	0.0633064i
$974$	14.9944	+	3.94355i	0.480451	+	0.126360i
$975$	−0.109194	+	0.773978i	−0.00349700	+	0.0247871i
$976$	−6.88020	−	20.9238i	−0.220230	−	0.669756i
$977$	−10.9848	−	22.8103i	−0.351436	−	0.729765i	0.648057	−	0.761592i	$-0.275582\pi$
$977$	−10.9848	−	22.8103i	−0.351436	−	0.729765i	−0.999493	+	0.0318270i	$0.989867\pi$
$978$	29.9991	−	16.3988i	0.959265	−	0.524377i
$979$	35.1190	−	8.01568i	1.12241	−	0.256182i
$980$	−17.3051	−	42.9218i	−0.552790	−	1.37109i
$981$	39.5489	+	11.3858i	1.26270	+	0.363521i
$982$	−1.63694	+	3.13219i	−0.0522368	+	0.0999522i
$983$	21.7345	−	4.96077i	0.693224	−	0.158224i	0.138629	−	0.990344i	$-0.455730\pi$
$983$	21.7345	−	4.96077i	0.693224	−	0.158224i	0.554595	+	0.832120i	$0.312873\pi$
$984$	6.30200	+	29.5226i	0.200900	+	0.941147i
$985$	−5.95293			−0.189676
$986$	−7.67151	−	1.98018i	−0.244311	−	0.0630617i
$987$	−15.7167	−	49.2945i	−0.500267	−	1.56906i
$988$	−0.963514	−	6.01476i	−0.0306535	−	0.191355i
$989$	−10.6510	−	46.6649i	−0.338681	−	1.48386i
$990$	−40.2199	+	5.49193i	−1.27827	+	0.174545i
$991$	2.18652	−	1.74369i	0.0694570	−	0.0553901i	−0.588146	−	0.808755i	$-0.700142\pi$
$991$	2.18652	−	1.74369i	0.0694570	−	0.0553901i	0.657603	+	0.753365i	$0.271570\pi$
$992$	−4.82743	+	11.8012i	−0.153271	+	0.374690i
$993$	−13.2990	+	7.84657i	−0.422031	+	0.249003i
$994$	−47.9210	+	9.29673i	−1.51996	+	0.294874i
$995$	16.9463	−	8.16093i	0.537235	−	0.258719i
$996$	6.43236	+	2.95089i	0.203817	+	0.0935027i
$997$	−7.22103	+	14.9946i	−0.228692	+	0.474885i	−0.983464	−	0.181103i	$-0.942033\pi$
$997$	−7.22103	+	14.9946i	−0.228692	+	0.474885i	0.754772	+	0.655987i	$0.227748\pi$
$998$	−11.6113	−	3.05379i	−0.367548	−	0.0966659i
$999$	29.3142	−	15.1545i	0.927460	−	0.479467i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	348.2.t.a.179.7	yes	336
3.2	odd	2	inner	348.2.t.a.179.50	yes	336
4.3	odd	2	inner	348.2.t.a.179.40	yes	336
12.11	even	2	inner	348.2.t.a.179.17	yes	336
29.6	even	14	inner	348.2.t.a.35.17	yes	336
87.35	odd	14	inner	348.2.t.a.35.40	yes	336
116.35	odd	14	inner	348.2.t.a.35.50	yes	336
348.35	even	14	inner	348.2.t.a.35.7	✓	336

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
348.2.t.a.35.7	✓	336	348.35	even	14	inner
348.2.t.a.35.17	yes	336	29.6	even	14	inner
348.2.t.a.35.40	yes	336	87.35	odd	14	inner
348.2.t.a.35.50	yes	336	116.35	odd	14	inner
348.2.t.a.179.7	yes	336	1.1	even	1	trivial
348.2.t.a.179.17	yes	336	12.11	even	2	inner
348.2.t.a.179.40	yes	336	4.3	odd	2	inner
348.2.t.a.179.50	yes	336	3.2	odd	2	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:	\( N \)	\(=\)	\( 348 = 2^{2} \cdot 3 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	348.t (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.29359 + 0.571517i) q^{2} +(1.49175 - 0.880152i) q^{3} +(1.34674 - 1.47861i) q^{4} +(1.76879 - 1.41056i) q^{5} +(-1.42669 + 1.99112i) q^{6} +(4.04660 - 0.923610i) q^{7} +(-0.897070 + 2.68240i) q^{8} +(1.45066 - 2.62594i) q^{9} +O(q^{10})\)	\(q+(-1.29359 + 0.571517i) q^{2} +(1.49175 - 0.880152i) q^{3} +(1.34674 - 1.47861i) q^{4} +(1.76879 - 1.41056i) q^{5} +(-1.42669 + 1.99112i) q^{6} +(4.04660 - 0.923610i) q^{7} +(-0.897070 + 2.68240i) q^{8} +(1.45066 - 2.62594i) q^{9} +(-1.48192 + 2.83558i) q^{10} +(-1.83496 + 3.81034i) q^{11} +(0.707597 - 3.39106i) q^{12} +(-3.43689 - 1.65512i) q^{13} +(-4.70677 + 3.50747i) q^{14} +(1.39709 - 3.66102i) q^{15} +(-0.372598 - 3.98261i) q^{16} -1.04033 q^{17} +(-0.375792 + 4.22597i) q^{18} +(-0.177666 + 0.778407i) q^{19} +(0.296417 - 4.51501i) q^{20} +(5.22361 - 4.93942i) q^{21} +(0.196012 - 5.97772i) q^{22} +(-3.60359 + 4.51876i) q^{23} +(1.02271 + 4.79104i) q^{24} +(0.0263246 - 0.115336i) q^{25} +(5.39185 + 0.176801i) q^{26} +(-0.147192 - 5.19407i) q^{27} +(4.08404 - 7.22721i) q^{28} +(-4.22559 - 3.33832i) q^{29} +(0.285073 + 5.53431i) q^{30} +(1.40533 + 1.76223i) q^{31} +(2.75812 + 4.93891i) q^{32} +(0.616363 + 7.29913i) q^{33} +(1.34576 - 0.594568i) q^{34} +(5.85477 - 7.34165i) q^{35} +(-1.92909 - 5.68143i) q^{36} +(2.75551 + 5.72187i) q^{37} +(-0.215046 - 1.10848i) q^{38} +(-6.58376 + 0.555955i) q^{39} +(2.19696 + 6.00997i) q^{40} +6.16205 q^{41} +(-3.93424 + 9.37496i) q^{42} +(-5.16346 + 6.47477i) q^{43} +(3.16281 + 7.84472i) q^{44} +(-1.13813 - 6.69099i) q^{45} +(2.07901 - 7.90493i) q^{46} +(3.12260 - 6.48414i) q^{47} +(-4.06113 - 5.61313i) q^{48} +(9.21512 - 4.43777i) q^{49} +(0.0318631 + 0.164242i) q^{50} +(-1.55192 + 0.915652i) q^{51} +(-7.07588 + 2.85283i) q^{52} +(5.00979 - 3.99517i) q^{53} +(3.15890 + 6.63486i) q^{54} +(2.12906 + 9.32801i) q^{55} +(-1.15259 + 11.6831i) q^{56} +(0.420082 + 1.31757i) q^{57} +(7.37408 + 1.90340i) q^{58} -7.80721 q^{59} +(-3.53172 - 6.99618i) q^{60} +(5.36844 - 1.22531i) q^{61} +(-2.82507 - 1.47643i) q^{62} +(3.44491 - 11.9660i) q^{63} +(-6.39053 - 4.81260i) q^{64} +(-8.41379 + 1.92039i) q^{65} +(-4.96890 - 9.08981i) q^{66} +(-3.34418 - 6.94426i) q^{67} +(-1.40106 + 1.53825i) q^{68} +(-1.39848 + 9.91260i) q^{69} +(-3.37778 + 12.8432i) q^{70} +(7.49248 + 3.60819i) q^{71} +(5.74248 + 6.24692i) q^{72} +(3.17787 + 2.53427i) q^{73} +(-6.83463 - 5.82692i) q^{74} +(-0.0622431 - 0.195222i) q^{75} +(0.911693 + 1.31101i) q^{76} +(-3.90609 + 17.1137i) q^{77} +(8.19893 - 4.48191i) q^{78} +(-15.4626 + 7.44641i) q^{79} +(-6.27676 - 6.51882i) q^{80} +(-4.79114 - 7.61872i) q^{81} +(-7.97115 + 3.52172i) q^{82} +(-0.454596 + 1.99171i) q^{83} +(-0.268658 - 14.3758i) q^{84} +(-1.84013 + 1.46746i) q^{85} +(2.97894 - 11.3267i) q^{86} +(-9.24178 - 1.26078i) q^{87} +(-8.57476 - 8.34024i) q^{88} +(-5.31062 - 6.65930i) q^{89} +(5.29629 + 8.00492i) q^{90} +(-15.4364 - 3.52326i) q^{91} +(1.82841 + 11.4139i) q^{92} +(3.64744 + 1.39191i) q^{93} +(-0.333558 + 10.1724i) q^{94} +(0.783737 + 1.62745i) q^{95} +(8.46142 + 4.94008i) q^{96} +(-13.8570 - 3.16276i) q^{97} +(-9.38430 + 11.0072i) q^{98} +(7.34381 + 10.3460i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 336 q - 10 q^{4} - 3 q^{6} - 10 q^{9}+O(q^{10}) \) 336 * q - 10 * q^4 - 3 * q^6 - 10 * q^9	\( 336 q - 10 q^{4} - 3 q^{6} - 10 q^{9} - 14 q^{10} - 20 q^{13} - 26 q^{16} - 56 q^{18} - 14 q^{21} - 40 q^{22} + 3 q^{24} + 40 q^{25} - 36 q^{28} - 6 q^{30} - 22 q^{33} - 8 q^{34} + 9 q^{36} - 28 q^{37} - 14 q^{40} - 74 q^{42} - 22 q^{45} + 14 q^{48} + 4 q^{49} - 4 q^{52} - 31 q^{54} - 12 q^{57} - 106 q^{58} - 42 q^{60} - 28 q^{61} - 94 q^{64} - 7 q^{66} - 14 q^{69} + 70 q^{72} - 28 q^{73} - 84 q^{76} - 9 q^{78} - 50 q^{81} - 46 q^{82} - 35 q^{84} - 168 q^{85} - 60 q^{88} + 119 q^{90} + 122 q^{93} + 36 q^{94} + 2 q^{96} - 28 q^{97}+O(q^{100}) \) 336 * q - 10 * q^4 - 3 * q^6 - 10 * q^9 - 14 * q^10 - 20 * q^13 - 26 * q^16 - 56 * q^18 - 14 * q^21 - 40 * q^22 + 3 * q^24 + 40 * q^25 - 36 * q^28 - 6 * q^30 - 22 * q^33 - 8 * q^34 + 9 * q^36 - 28 * q^37 - 14 * q^40 - 74 * q^42 - 22 * q^45 + 14 * q^48 + 4 * q^49 - 4 * q^52 - 31 * q^54 - 12 * q^57 - 106 * q^58 - 42 * q^60 - 28 * q^61 - 94 * q^64 - 7 * q^66 - 14 * q^69 + 70 * q^72 - 28 * q^73 - 84 * q^76 - 9 * q^78 - 50 * q^81 - 46 * q^82 - 35 * q^84 - 168 * q^85 - 60 * q^88 + 119 * q^90 + 122 * q^93 + 36 * q^94 + 2 * q^96 - 28 * q^97

Introduction

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