LMFDB - Embedded newform 588.2.x.a.223.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [588,2,Mod(55,588)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(588, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 0, 9]))

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

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

chi := DirichletCharacter("588.55");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 588 = 2^{2} \cdot 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	588.x (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:	$4.69520363885$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			223.12
Character	$\chi$	$=$	588.223
Dual form			588.2.x.a.559.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.282311 + 1.38575i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(-1.84060 - 0.782424i) q^{4} +(0.631969 + 0.144243i) q^{5} +(-1.28819 - 0.583591i) q^{6} +(2.32235 - 1.26755i) q^{7} +(1.60387 - 2.32972i) q^{8} +(-0.900969 - 0.433884i) q^{9} +O(q^{10})$	\(q+(-0.282311 + 1.38575i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(-1.84060 - 0.782424i) q^{4} +(0.631969 + 0.144243i) q^{5} +(-1.28819 - 0.583591i) q^{6} +(2.32235 - 1.26755i) q^{7} +(1.60387 - 2.32972i) q^{8} +(-0.900969 - 0.433884i) q^{9} +(-0.378296 + 0.835029i) q^{10} +(-2.50272 - 5.19695i) q^{11} +(1.17238 - 1.62035i) q^{12} +(-2.15619 - 4.47737i) q^{13} +(1.10089 + 3.57604i) q^{14} +(-0.281252 + 0.584027i) q^{15} +(2.77562 + 2.88026i) q^{16} +(6.08020 - 4.84880i) q^{17} +(0.855607 - 1.12603i) q^{18} -5.84701 q^{19} +(-1.05034 - 0.759961i) q^{20} +(0.719004 + 2.54618i) q^{21} +(7.90821 - 2.00098i) q^{22} +(-2.05670 - 1.64016i) q^{23} +(1.91442 + 2.08207i) q^{24} +(-4.12627 - 1.98711i) q^{25} +(6.81322 - 1.72392i) q^{26} +(0.623490 - 0.781831i) q^{27} +(-5.26628 + 0.516001i) q^{28} +(4.35629 + 5.46261i) q^{29} +(-0.729914 - 0.554622i) q^{30} -4.28595 q^{31} +(-4.77491 + 3.03319i) q^{32} +(5.62356 - 1.28354i) q^{33} +(5.00271 + 9.79451i) q^{34} +(1.65049 - 0.466073i) q^{35} +(1.31884 + 1.50355i) q^{36} +(1.37172 + 1.72009i) q^{37} +(1.65068 - 8.10249i) q^{38} +(4.84491 - 1.10582i) q^{39} +(1.34964 - 1.24097i) q^{40} +(7.63070 + 1.74166i) q^{41} +(-3.73135 + 0.277544i) q^{42} +(-0.773614 + 0.176572i) q^{43} +(0.540287 + 11.5237i) q^{44} +(-0.506799 - 0.404159i) q^{45} +(2.85348 - 2.38703i) q^{46} +(0.374839 - 0.180513i) q^{47} +(-3.42568 + 2.06512i) q^{48} +(3.78661 - 5.88741i) q^{49} +(3.91852 - 5.15699i) q^{50} +(3.37426 + 7.00672i) q^{51} +(0.465478 + 9.92810i) q^{52} +(2.35778 - 2.95656i) q^{53} +(0.907404 + 1.08472i) q^{54} +(-0.832018 - 3.64531i) q^{55} +(0.771682 - 7.44342i) q^{56} +(1.30108 - 5.70042i) q^{57} +(-8.79964 + 4.49457i) q^{58} +(1.21566 + 5.32614i) q^{59} +(0.974630 - 0.854901i) q^{60} +(-3.31715 + 2.64534i) q^{61} +(1.20997 - 5.93926i) q^{62} +(-2.64234 + 0.134398i) q^{63} +(-2.85523 - 7.47313i) q^{64} +(-0.716814 - 3.14057i) q^{65} +(0.191073 + 8.15520i) q^{66} +12.1250i q^{67} +(-14.9850 + 4.16741i) q^{68} +(2.05670 - 1.64016i) q^{69} +(0.179910 + 2.41874i) q^{70} +(3.04045 + 2.42468i) q^{71} +(-2.45586 + 1.40312i) q^{72} +(-2.91550 + 6.05409i) q^{73} +(-2.77086 + 1.41526i) q^{74} +(2.85546 - 3.58064i) q^{75} +(10.7620 + 4.57485i) q^{76} +(-12.3996 - 8.89680i) q^{77} +(0.164616 + 7.02601i) q^{78} +2.62443i q^{79} +(1.33865 + 2.22060i) q^{80} +(0.623490 + 0.781831i) q^{81} +(-4.56773 + 10.0825i) q^{82} +(-5.45244 - 2.62576i) q^{83} +(0.668795 - 5.24907i) q^{84} +(4.54190 - 2.18726i) q^{85} +(-0.0262853 - 1.12188i) q^{86} +(-6.29502 + 3.03152i) q^{87} +(-16.1215 - 2.50456i) q^{88} +(3.02680 - 6.28522i) q^{89} +(0.703138 - 0.588198i) q^{90} +(-10.6827 - 7.66492i) q^{91} +(2.50226 + 4.62810i) q^{92} +(0.953714 - 4.17850i) q^{93} +(0.144324 + 0.570393i) q^{94} +(-3.69513 - 0.843389i) q^{95} +(-1.89462 - 5.33014i) q^{96} +2.58923i q^{97} +(7.08947 + 6.90937i) q^{98} +5.76818i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$493$
$\chi(n)$	$1$	$-1$	$e\left(\frac{1}{14}\right)$

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 $

$2$	−0.282311	+	1.38575i	−0.199624	+	0.979873i
$2$	−0.282311	+	1.38575i	−0.199624	+	0.979873i
$3$	−0.222521	+	0.974928i	−0.128473	+	0.562875i
$3$	−0.222521	+	0.974928i	−0.128473	+	0.562875i
$4$	−1.84060	−	0.782424i	−0.920301	−	0.391212i
$5$	0.631969	+	0.144243i	0.282625	+	0.0645073i	0.361483	−	0.932379i	$-0.382270\pi$
$5$	0.631969	+	0.144243i	0.282625	+	0.0645073i	−0.0788585	+	0.996886i	$0.525128\pi$
$6$	−1.28819	−	0.583591i	−0.525899	−	0.238250i
$7$	2.32235	−	1.26755i	0.877765	−	0.479091i
$7$	2.32235	−	1.26755i	0.877765	−	0.479091i
$8$	1.60387	−	2.32972i	0.567052	−	0.823682i
$9$	−0.900969	−	0.433884i	−0.300323	−	0.144628i
$10$	−0.378296	+	0.835029i	−0.119628	+	0.264059i
$11$	−2.50272	−	5.19695i	−0.754598	−	1.56694i	−0.822181	−	0.569226i	$-0.807243\pi$
$11$	−2.50272	−	5.19695i	−0.754598	−	1.56694i	0.0675831	−	0.997714i	$-0.478471\pi$
$12$	1.17238	−	1.62035i	0.338437	−	0.467754i
$13$	−2.15619	−	4.47737i	−0.598018	−	1.24180i	−0.951872	−	0.306497i	$-0.900843\pi$
$13$	−2.15619	−	4.47737i	−0.598018	−	1.24180i	0.353853	−	0.935301i	$-0.384871\pi$
$14$	1.10089	+	3.57604i	0.294225	+	0.955736i
$15$	−0.281252	+	0.584027i	−0.0726191	+	0.150795i
$16$	2.77562	+	2.88026i	0.693906	+	0.720066i
$17$	6.08020	−	4.84880i	1.47467	−	1.17601i	0.529989	−	0.848004i	$-0.322196\pi$
$17$	6.08020	−	4.84880i	1.47467	−	1.17601i	0.944677	−	0.328002i	$-0.106375\pi$
$18$	0.855607	−	1.12603i	0.201669	−	0.265407i
$19$	−5.84701			−1.34140			−0.670699	−	0.741730i	$-0.734006\pi$
$19$	−5.84701			−1.34140			−0.670699	+	0.741730i	$0.734006\pi$
$20$	−1.05034	−	0.759961i	−0.234864	−	0.169932i
$21$	0.719004	+	2.54618i	0.156899	+	0.555622i
$22$	7.90821	−	2.00098i	1.68604	−	0.426611i
$23$	−2.05670	−	1.64016i	−0.428852	−	0.341998i	0.385157	−	0.922851i	$-0.374147\pi$
$23$	−2.05670	−	1.64016i	−0.428852	−	0.341998i	−0.814008	+	0.580854i	$0.802719\pi$
$24$	1.91442	+	2.08207i	0.390779	+	0.425000i
$25$	−4.12627	−	1.98711i	−0.825253	−	0.397421i
$26$	6.81322	−	1.72392i	1.33618	−	0.338089i
$27$	0.623490	−	0.781831i	0.119991	−	0.150464i
$28$	−5.26628	+	0.516001i	−0.995234	+	0.0975150i
$29$	4.35629	+	5.46261i	0.808942	+	1.01438i	0.999465	+	0.0326988i	$0.0104102\pi$
$29$	4.35629	+	5.46261i	0.808942	+	1.01438i	−0.190523	+	0.981683i	$0.561018\pi$
$30$	−0.729914	−	0.554622i	−0.133263	−	0.101260i
$31$	−4.28595			−0.769780			−0.384890	−	0.922962i	$-0.625761\pi$
$31$	−4.28595			−0.769780			−0.384890	+	0.922962i	$0.625761\pi$
$32$	−4.77491	+	3.03319i	−0.844093	+	0.536197i
$33$	5.62356	−	1.28354i	0.978936	−	0.223436i
$34$	5.00271	+	9.79451i	0.857958	+	1.67974i
$35$	1.65049	−	0.466073i	0.278983	−	0.0787807i
$36$	1.31884	+	1.50355i	0.219807	+	0.250591i
$37$	1.37172	+	1.72009i	0.225510	+	0.282780i	0.881695	−	0.471819i	$-0.156403\pi$
$37$	1.37172	+	1.72009i	0.225510	+	0.282780i	−0.656185	+	0.754600i	$0.727831\pi$
$38$	1.65068	−	8.10249i	0.267775	−	1.31440i
$39$	4.84491	−	1.10582i	0.775806	−	0.177073i
$40$	1.34964	−	1.24097i	0.213397	−	0.196214i
$41$	7.63070	+	1.74166i	1.19171	+	0.272001i	0.771981	−	0.635646i	$-0.219266\pi$
$41$	7.63070	+	1.74166i	1.19171	+	0.272001i	0.419734	+	0.907647i	$0.362123\pi$
$42$	−3.73135	+	0.277544i	−0.575760	+	0.0428259i
$43$	−0.773614	+	0.176572i	−0.117975	+	0.0269270i	−0.281101	−	0.959678i	$-0.590700\pi$
$43$	−0.773614	+	0.176572i	−0.117975	+	0.0269270i	0.163126	+	0.986605i	$0.447842\pi$
$44$	0.540287	+	11.5237i	0.0814514	+	1.73726i
$45$	−0.506799	−	0.404159i	−0.0755492	−	0.0602485i
$46$	2.85348	−	2.38703i	0.420723	−	0.351949i
$47$	0.374839	−	0.180513i	0.0546758	−	0.0263305i	−0.406346	−	0.913719i	$-0.633197\pi$
$47$	0.374839	−	0.180513i	0.0546758	−	0.0263305i	0.461022	+	0.887389i	$0.347483\pi$
$48$	−3.42568	+	2.06512i	−0.494455	+	0.298074i
$49$	3.78661	−	5.88741i	0.540944	−	0.841059i
$50$	3.91852	−	5.15699i	0.554162	−	0.729308i
$51$	3.37426	+	7.00672i	0.472491	+	0.981137i
$52$	0.465478	+	9.92810i	0.0645502	+	1.37678i
$53$	2.35778	−	2.95656i	0.323866	−	0.406115i	−0.593069	−	0.805152i	$-0.702084\pi$
$53$	2.35778	−	2.95656i	0.323866	−	0.406115i	0.916935	+	0.399036i	$0.130655\pi$
$54$	0.907404	+	1.08472i	0.123482	+	0.147612i
$55$	−0.832018	−	3.64531i	−0.112189	−	0.491533i
$56$	0.771682	−	7.44342i	0.103120	−	0.994669i
$57$	1.30108	−	5.70042i	0.172333	−	0.755039i
$58$	−8.79964	+	4.49457i	−1.15545	+	0.590165i
$59$	1.21566	+	5.32614i	0.158265	+	0.693404i	0.990331	+	0.138727i	$0.0443010\pi$
$59$	1.21566	+	5.32614i	0.158265	+	0.693404i	−0.832066	+	0.554677i	$0.812842\pi$
$60$	0.974630	−	0.854901i	0.125824	−	0.110367i
$61$	−3.31715	+	2.64534i	−0.424717	+	0.338701i	−0.812409	−	0.583089i	$-0.801844\pi$
$61$	−3.31715	+	2.64534i	−0.424717	+	0.338701i	0.387691	+	0.921789i	$0.373273\pi$
$62$	1.20997	−	5.93926i	0.153667	−	0.754286i
$63$	−2.64234	+	0.134398i	−0.332903	+	0.0169326i
$64$	−2.85523	−	7.47313i	−0.356904	−	0.934141i
$65$	−0.716814	−	3.14057i	−0.0889099	−	0.389540i
$66$	0.191073	+	8.15520i	0.0235194	+	1.00384i
$67$			12.1250i			1.48131i	0.671888	+	0.740653i	$0.265484\pi$
$67$			12.1250i			1.48131i	−0.671888	+	0.740653i	$0.734516\pi$
$68$	−14.9850	+	4.16741i	−1.81720	+	0.505372i
$69$	2.05670	−	1.64016i	0.247598	−	0.197452i
$70$	0.179910	+	2.41874i	0.0215033	+	0.289095i
$71$	3.04045	+	2.42468i	0.360835	+	0.287757i	0.787079	−	0.616852i	$-0.211592\pi$
$71$	3.04045	+	2.42468i	0.360835	+	0.287757i	−0.426244	+	0.904608i	$0.640164\pi$
$72$	−2.45586	+	1.40312i	−0.289426	+	0.165359i
$73$	−2.91550	+	6.05409i	−0.341233	+	0.708578i	−0.999003	−	0.0446409i	$-0.985786\pi$
$73$	−2.91550	+	6.05409i	−0.341233	+	0.708578i	0.657770	+	0.753219i	$0.271500\pi$
$74$	−2.77086	+	1.41526i	−0.322106	+	0.164521i
$75$	2.85546	−	3.58064i	0.329721	−	0.413457i
$76$	10.7620	+	4.57485i	1.23449	+	0.524771i
$77$	−12.3996	−	8.89680i	−1.41307	−	1.01388i
$78$	0.164616	+	7.02601i	0.0186391	+	0.795539i
$79$			2.62443i			0.295272i	0.989042	+	0.147636i	$0.0471664\pi$
$79$			2.62443i			0.295272i	−0.989042	+	0.147636i	$0.952834\pi$
$80$	1.33865	+	2.22060i	0.149666	+	0.248270i
$81$	0.623490	+	0.781831i	0.0692766	+	0.0868702i
$82$	−4.56773	+	10.0825i	−0.504421	+	1.11343i
$83$	−5.45244	−	2.62576i	−0.598483	−	0.288214i	0.110011	−	0.993930i	$-0.464911\pi$
$83$	−5.45244	−	2.62576i	−0.598483	−	0.288214i	−0.708495	+	0.705716i	$0.750626\pi$
$84$	0.668795	−	5.24907i	0.0729715	−	0.572720i
$85$	4.54190	−	2.18726i	0.492638	−	0.237242i
$86$	−0.0262853	−	1.12188i	−0.00283441	−	0.120976i
$87$	−6.29502	+	3.03152i	−0.674897	+	0.325013i
$88$	−16.1215	−	2.50456i	−1.71856	−	0.266987i
$89$	3.02680	−	6.28522i	0.320840	−	0.666232i	−0.676705	−	0.736254i	$-0.736593\pi$
$89$	3.02680	−	6.28522i	0.320840	−	0.666232i	0.997545	+	0.0700222i	$0.0223070\pi$
$90$	0.703138	−	0.588198i	0.0741173	−	0.0620015i
$91$	−10.6827	−	7.66492i	−1.11985	−	0.803502i
$92$	2.50226	+	4.62810i	0.260879	+	0.482513i
$93$	0.953714	−	4.17850i	0.0988956	−	0.433290i
$94$	0.144324	+	0.570393i	0.0148859	+	0.0588316i
$95$	−3.69513	−	0.843389i	−0.379112	−	0.0865299i
$96$	−1.89462	−	5.33014i	−0.193369	−	0.544005i
$97$			2.58923i			0.262897i	0.991323	+	0.131448i	$0.0419627\pi$
$97$			2.58923i			0.262897i	−0.991323	+	0.131448i	$0.958037\pi$
$98$	7.08947	+	6.90937i	0.716145	+	0.697952i
$99$			5.76818i			0.579724i
$100$	6.04005	+	6.88596i	0.604005	+	0.688596i
$101$	−13.3061	−	3.03703i	−1.32401	−	0.302196i	−0.498649	−	0.866804i	$-0.666170\pi$
$101$	−13.3061	−	3.03703i	−1.32401	−	0.302196i	−0.825359	+	0.564608i	$0.809027\pi$
$102$	−10.6621	+	2.69780i	−1.05571	+	0.267122i
$103$	2.83292	−	12.4118i	0.279136	−	1.22298i	−0.619752	−	0.784798i	$-0.712767\pi$
$103$	2.83292	−	12.4118i	0.279136	−	1.22298i	0.898888	−	0.438178i	$-0.144376\pi$
$104$	−13.8893	−	2.15778i	−1.36195	−	0.211587i
$105$	0.0871197	+	1.71282i	0.00850201	+	0.167154i
$106$	3.43143	+	4.10196i	0.333290	+	0.398418i
$107$	8.10270	−	16.8254i	0.783317	−	1.62657i	0.00396206	−	0.999992i	$-0.498739\pi$
$107$	8.10270	−	16.8254i	0.783317	−	1.62657i	0.779355	−	0.626583i	$-0.215547\pi$
$108$	−1.75932	+	0.951206i	−0.169291	+	0.0915299i
$109$	11.5659	−	5.56987i	1.10782	−	0.533496i	0.211709	−	0.977333i	$-0.432097\pi$
$109$	11.5659	−	5.56987i	1.10782	−	0.533496i	0.896108	+	0.443836i	$0.146383\pi$
$110$	5.28637	−	0.123857i	0.504036	−	0.0118093i
$111$	−1.98220	+	0.954575i	−0.188142	+	0.0906043i
$112$	10.0969	+	3.17072i	0.954063	+	0.299605i
$113$	11.4005	+	5.49019i	1.07247	+	0.516474i	0.884902	−	0.465778i	$-0.154225\pi$
$113$	11.4005	+	5.49019i	1.07247	+	0.516474i	0.187567	+	0.982252i	$0.439940\pi$
$114$	7.53204	+	3.41226i	0.705440	+	0.319588i
$115$	−1.06319	−	1.33320i	−0.0991428	−	0.124321i
$116$	−3.74411	−	13.4630i	−0.347632	−	1.25000i
$117$			4.96950i			0.459431i
$118$	−7.72388	+	0.180967i	−0.711041	+	0.0166594i
$119$	7.97423	−	18.9676i	0.730997	−	1.73876i
$120$	0.909530	+	1.59194i	0.0830284	+	0.145324i
$121$	−13.8863	+	17.4129i	−1.26239	+	1.58299i
$122$	−2.72930	−	5.34354i	−0.247100	−	0.483781i
$123$	−3.39598	+	7.05182i	−0.306205	+	0.635842i
$124$	7.88873	+	3.35343i	0.708429	+	0.301147i
$125$	−4.85504	−	3.87177i	−0.434248	−	0.346301i
$126$	0.559718	−	3.69956i	0.0498637	−	0.329583i
$127$	13.6588	−	10.8926i	1.21203	−	0.966559i	0.212083	−	0.977252i	$-0.431975\pi$
$127$	13.6588	−	10.8926i	1.21203	−	0.966559i	0.999943	+	0.0106930i	$0.00340375\pi$
$128$	11.1619	−	1.84689i	0.986586	−	0.163243i
$129$		−	0.793509i		−	0.0698646i
$130$	4.55440	−	0.106708i	0.399448	−	0.00935889i
$131$	−1.54791	−	6.78184i	−0.135242	−	0.592532i	−0.996443	−	0.0842685i	$-0.973145\pi$
$131$	−1.54791	−	6.78184i	−0.135242	−	0.592532i	0.861201	−	0.508264i	$-0.169712\pi$
$132$	−11.3550	−	2.03752i	−0.988326	−	0.177344i
$133$	−13.5788	+	7.41141i	−1.17743	+	0.642651i
$134$	−16.8022	−	3.42302i	−1.45149	−	0.295704i
$135$	0.506799	−	0.404159i	0.0436183	−	0.0347845i
$136$	−1.54454	−	21.9420i	−0.132443	−	1.88151i
$137$	0.0851294	+	0.372976i	0.00727309	+	0.0318655i	0.978434	−	0.206558i	$-0.0662264\pi$
$137$	0.0851294	+	0.372976i	0.00727309	+	0.0318655i	−0.971161	+	0.238424i	$0.923369\pi$
$138$	1.69223	+	3.31311i	0.144052	+	0.282030i
$139$	−0.265794	+	1.16452i	−0.0225444	+	0.0987734i	−0.984948	−	0.172849i	$-0.944703\pi$
$139$	−0.265794	+	1.16452i	−0.0225444	+	0.0987734i	0.962404	+	0.271622i	$0.0875600\pi$
$140$	−3.40255	−	0.433527i	−0.287568	−	0.0366397i
$141$	0.0925775	+	0.405609i	0.00779643	+	0.0341584i
$142$	−4.21835	+	3.52879i	−0.353996	+	0.296129i
$143$	−17.8723	+	22.4112i	−1.49456	+	1.87412i
$144$	−1.25105	−	3.79932i	−0.104254	−	0.316610i
$145$	1.96509	+	4.08056i	0.163192	+	0.338872i
$146$	−7.56638	−	5.74928i	−0.626198	−	0.475814i
$147$	4.89720	+	5.00174i	0.403914	+	0.412537i
$148$	−1.17896	−	4.23926i	−0.0969097	−	0.348465i
$149$	7.14131	−	3.43907i	0.585039	−	0.281740i	−0.117859	−	0.993030i	$-0.537603\pi$
$149$	7.14131	−	3.43907i	0.585039	−	0.281740i	0.702898	+	0.711290i	$0.251889\pi$
$150$	4.15574	+	4.96781i	0.339315	+	0.405620i
$151$	5.11299	+	4.07747i	0.416089	+	0.331820i	0.809055	−	0.587733i	$-0.199979\pi$
$151$	5.11299	+	4.07747i	0.416089	+	0.331820i	−0.392966	+	0.919553i	$0.628551\pi$
$152$	−9.37783	+	13.6219i	−0.760642	+	1.10488i
$153$	−7.58189	+	1.73052i	−0.612959	+	0.139904i
$154$	15.8293	−	14.6711i	1.27556	−	1.18223i
$155$	−2.70859	−	0.618218i	−0.217559	−	0.0496564i
$156$	−9.78276	−	1.75540i	−0.783247	−	0.140545i
$157$	−19.6947	+	4.49519i	−1.57181	+	0.358755i	−0.917583	−	0.397543i	$-0.869863\pi$
$157$	−19.6947	+	4.49519i	−1.57181	+	0.358755i	−0.654227	+	0.756299i	$0.727006\pi$
$158$	−3.63681	−	0.740906i	−0.289329	−	0.0589433i
$159$	2.35778	+	2.95656i	0.186984	+	0.234471i
$160$	−3.45511	+	1.22813i	−0.273150	+	0.0970925i
$161$	−6.85537	−	1.20205i	−0.540279	−	0.0947349i
$162$	−1.25944	+	0.643281i	−0.0989510	+	0.0505409i
$163$	15.3092	−	3.49423i	1.19911	−	0.273690i	0.424088	−	0.905621i	$-0.360595\pi$
$163$	15.3092	−	3.49423i	1.19911	−	0.273690i	0.775024	+	0.631932i	$0.217738\pi$
$164$	−12.6824	−	9.17614i	−0.990325	−	0.716536i
$165$	3.73905			0.291085
$166$	5.17793	−	6.81444i	0.401885	−	0.528903i
$167$	10.5238	+	13.1964i	0.814352	+	1.02117i	0.999262	+	0.0384102i	$0.0122293\pi$
$167$	10.5238	+	13.1964i	0.814352	+	1.02117i	−0.184910	+	0.982756i	$0.559199\pi$
$168$	7.08508	+	2.40865i	0.546626	+	0.185831i
$169$	−7.29230	+	9.14426i	−0.560946	+	0.703405i
$170$	1.74877	+	6.91142i	0.134125	+	0.530082i
$171$	5.26798	+	2.53692i	0.402852	+	0.194003i
$172$	1.56207	+	0.280295i	0.119107	+	0.0213723i
$173$	12.0711	+	9.62641i	0.917751	+	0.731882i	0.963679	−	0.267062i	$-0.0860530\pi$
$173$	12.0711	+	9.62641i	0.917751	+	0.731882i	−0.0459278	+	0.998945i	$0.514624\pi$
$174$	−2.42377	−	9.57915i	−0.183746	−	0.726193i
$175$	−12.1014	+	0.615518i	−0.914779	+	0.0465288i
$176$	8.02197	−	21.6333i	0.604679	−	1.63067i
$177$	−5.46311			−0.410632
$178$	7.85524	+	5.96878i	0.588775	+	0.447379i
$179$	−10.9788	+	8.75533i	−0.820596	+	0.654404i	−0.941032	−	0.338317i	$-0.890142\pi$
$179$	−10.9788	+	8.75533i	−0.820596	+	0.654404i	0.120436	+	0.992721i	$0.461571\pi$
$180$	0.616592	+	1.14043i	0.0459580	+	0.0850025i
$181$	5.33646	−	11.0813i	0.396656	−	0.823664i	−0.603008	−	0.797735i	$-0.706031\pi$
$181$	5.33646	−	11.0813i	0.396656	−	0.823664i	0.999664	−	0.0259290i	$-0.00825438\pi$
$182$	13.6375	−	12.6397i	1.01088	−	0.936916i
$183$	−1.84088	−	3.82262i	−0.136082	−	0.282576i
$184$	−7.11980	+	2.16094i	−0.524878	+	0.159307i
$185$	0.618776	+	1.28490i	0.0454933	+	0.0944678i
$186$	5.52110	+	2.50124i	0.404827	+	0.183400i
$187$	−40.4160	−	19.4633i	−2.95551	−	1.42330i
$188$	−0.831166	+	0.0389691i	−0.0606190	+	0.00284212i
$189$	0.456946	−	2.60599i	0.0332380	−	0.189558i
$190$	2.21190	−	4.88242i	0.160468	−	0.354208i
$191$	7.95602	+	1.81591i	0.575678	+	0.131395i	0.500440	−	0.865771i	$-0.333171\pi$
$191$	7.95602	+	1.81591i	0.575678	+	0.131395i	0.0752372	+	0.997166i	$0.476029\pi$
$192$	7.92111	−	1.12072i	0.571657	−	0.0808807i
$193$	2.30883	−	10.1156i	0.166193	−	0.728139i	−0.821303	−	0.570493i	$-0.806752\pi$
$193$	2.30883	−	10.1156i	0.166193	−	0.728139i	0.987496	−	0.157646i	$-0.0503906\pi$
$194$	−3.58802	−	0.730968i	−0.257605	−	0.0524805i
$195$	3.22133			0.230685
$196$	−11.5761	+	7.87364i	−0.826863	+	0.562403i
$197$	4.13862			0.294865			0.147432	−	0.989072i	$-0.452899\pi$
$197$	4.13862			0.294865			0.147432	+	0.989072i	$0.452899\pi$
$198$	−7.99325	−	1.62842i	−0.568055	−	0.115727i
$199$	2.31911	−	10.1607i	0.164397	−	0.720272i	−0.823774	−	0.566918i	$-0.808135\pi$
$199$	2.31911	−	10.1607i	0.164397	−	0.720272i	0.988171	−	0.153354i	$-0.0490074\pi$
$200$	−11.2474	+	6.42601i	−0.795310	+	0.454388i
$201$	−11.8210	−	2.69807i	−0.833790	−	0.190307i
$202$	7.96503	−	17.5815i	0.560417	−	1.23703i
$203$	17.0410	+	7.16426i	1.19604	+	0.502832i
$204$	−0.728435	−	15.5367i	−0.0510007	−	1.08779i
$205$	4.57114	+	2.20134i	0.319262	+	0.153749i
$206$	16.3999	+	7.42972i	1.14264	+	0.517653i
$207$	1.14138	+	2.37010i	0.0793316	+	0.164734i
$208$	6.91123	−	18.6379i	0.479207	−	1.29230i
$209$	14.6334	+	30.3866i	1.01222	+	2.10189i
$210$	−2.39813	−	0.362821i	−0.165487	−	0.0250370i
$211$	−4.19488	+	8.71075i	−0.288787	+	0.599673i	−0.994007	−	0.109316i	$-0.965134\pi$
$211$	−4.19488	+	8.71075i	−0.288787	+	0.599673i	0.705220	+	0.708989i	$0.250848\pi$
$212$	−6.65302	+	3.59707i	−0.456931	+	0.247048i
$213$	−3.04045	+	2.42468i	−0.208328	+	0.166136i
$214$	21.0283	+	15.9783i	1.43747	+	1.09225i
$215$	−0.514369			−0.0350797
$216$	−0.821458	−	2.70651i	−0.0558931	−	0.184155i
$217$	−9.95348	+	5.43268i	−0.675686	+	0.368795i
$218$	4.45324	+	17.5999i	0.301612	+	1.19202i
$219$	−5.25354	−	4.18956i	−0.355002	−	0.283104i
$220$	−1.32076	+	7.36055i	−0.0890459	+	0.496248i
$221$	−34.8199	−	16.7684i	−2.34224	−	1.12796i
$222$	−0.763206	−	3.01631i	−0.0512230	−	0.202442i
$223$	0.251179	−	0.314968i	0.0168202	−	0.0210918i	−0.773350	−	0.633979i	$-0.781421\pi$
$223$	0.251179	−	0.314968i	0.0168202	−	0.0210918i	0.790170	+	0.612887i	$0.209992\pi$
$224$	−7.24427	+	13.0966i	−0.484028	+	0.875052i
$225$	2.85546	+	3.58064i	0.190364	+	0.238709i
$226$	−10.8265	+	14.2483i	−0.720169	+	0.947782i
$227$	4.92391			0.326811			0.163406	−	0.986559i	$-0.447752\pi$
$227$	4.92391			0.326811			0.163406	+	0.986559i	$0.447752\pi$
$228$	−6.85492	+	9.47419i	−0.453978	+	0.627444i
$229$	−3.89627	+	0.889299i	−0.257473	+	0.0587665i	−0.349309	−	0.937008i	$-0.613584\pi$
$229$	−3.89627	+	0.889299i	−0.257473	+	0.0587665i	0.0918360	+	0.995774i	$0.470726\pi$
$230$	2.14762	−	1.09694i	0.141610	−	0.0723298i
$231$	11.4329	−	10.1090i	0.752230	−	0.665123i
$232$	19.7133	−	1.38765i	1.29424	−	0.0911039i
$233$	9.70399	+	12.1684i	0.635730	+	0.797180i	0.990462	−	0.137788i	$-0.0439993\pi$
$233$	9.70399	+	12.1684i	0.635730	+	0.797180i	−0.354732	+	0.934968i	$0.615428\pi$
$234$	−6.88648	−	1.40294i	−0.450183	−	0.0917134i
$235$	0.262924	−	0.0600107i	0.0171513	−	0.00391466i
$236$	1.92976	−	10.7544i	0.125617	−	0.700055i
$237$	−2.55863	−	0.583991i	−0.166201	−	0.0379343i
$238$	24.0331	+	16.4050i	1.55784	+	1.06338i
$239$	12.9161	−	2.94802i	0.835474	−	0.190692i	0.216678	−	0.976243i	$-0.430478\pi$
$239$	12.9161	−	2.94802i	0.835474	−	0.190692i	0.618796	+	0.785552i	$0.287621\pi$
$240$	−2.46280	+	0.810958i	−0.158973	+	0.0523471i
$241$	11.9763	+	9.55076i	0.771460	+	0.615219i	0.928055	−	0.372444i	$-0.121480\pi$
$241$	11.9763	+	9.55076i	0.771460	+	0.615219i	−0.156595	+	0.987663i	$0.550052\pi$
$242$	−20.2096	−	24.1588i	−1.29912	−	1.55298i
$243$	−0.900969	+	0.433884i	−0.0577972	+	0.0278337i
$244$	8.17532	−	2.27359i	0.523371	−	0.145552i
$245$	3.24223	−	3.17447i	0.207139	−	0.202809i
$246$	−8.81334	−	6.69678i	−0.561918	−	0.426971i
$247$	12.6072	+	26.1792i	0.802180	+	1.66574i
$248$	−6.87409	+	9.98509i	−0.436505	+	0.634054i
$249$	3.77321	−	4.73145i	0.239117	−	0.299844i
$250$	6.73593	−	5.63483i	0.426018	−	0.356378i
$251$	−0.313516	−	1.37361i	−0.0197890	−	0.0867012i	0.964069	−	0.265651i	$-0.0855870\pi$
$251$	−0.313516	−	1.37361i	−0.0197890	−	0.0867012i	−0.983858	+	0.178950i	$0.942730\pi$
$252$	4.96864	+	1.82005i	0.312995	+	0.114653i
$253$	−3.37650	+	14.7934i	−0.212279	+	0.930055i
$254$	11.2383	+	22.0028i	0.705155	+	1.38058i
$255$	1.12176	+	4.91474i	0.0702471	+	0.307773i
$256$	−0.591819	+	15.9891i	−0.0369887	+	0.999316i
$257$	−18.8124	+	15.0024i	−1.17349	+	0.935824i	−0.998808	−	0.0488019i	$-0.984460\pi$
$257$	−18.8124	+	15.0024i	−1.17349	+	0.935824i	−0.174677	+	0.984626i	$0.555888\pi$
$258$	1.09960	+	0.224016i	0.0684584	+	0.0139466i
$259$	5.36592	+	2.25590i	0.333422	+	0.140175i
$260$	−1.13789	+	6.34139i	−0.0705688	+	0.393276i
$261$	−1.55474	−	6.81177i	−0.0962361	−	0.421638i
$262$	9.83492	−	0.230428i	0.607604	−	0.0142359i
$263$			16.5389i			1.01983i	0.860224	+	0.509917i	$0.170324\pi$
$263$			16.5389i			1.01983i	−0.860224	+	0.509917i	$0.829676\pi$
$264$	6.02914	−	15.1600i	0.371068	−	0.933032i
$265$	1.91651	−	1.52836i	0.117730	−	0.0938866i
$266$	−6.43691	−	20.9091i	−0.394672	−	1.28202i
$267$	5.45411	+	4.34951i	0.333786	+	0.266186i
$268$	9.48691	−	22.3173i	0.579505	−	1.36325i
$269$	3.64374	−	7.56631i	0.222163	−	0.461326i	−0.759860	−	0.650086i	$-0.774733\pi$
$269$	3.64374	−	7.56631i	0.222163	−	0.461326i	0.982023	+	0.188760i	$0.0604470\pi$
$270$	0.416988	+	0.816395i	0.0253771	+	0.0496842i
$271$	10.9679	−	13.7533i	0.666252	−	0.835453i	−0.327756	−	0.944762i	$-0.606292\pi$
$271$	10.9679	−	13.7533i	0.666252	−	0.835453i	0.994008	+	0.109309i	$0.0348638\pi$
$272$	30.8422	+	4.05413i	1.87008	+	0.245818i
$273$	9.84988	−	8.70928i	0.596142	−	0.527110i
$274$	−0.540884	+	0.0126727i	−0.0326760	+	0.000765585i
$275$			26.4172i			1.59301i
$276$	−5.06887	+	1.40967i	−0.305110	+	0.0848524i
$277$	17.4653	+	21.9008i	1.04939	+	1.31589i	0.947030	+	0.321145i	$0.104068\pi$
$277$	17.4653	+	21.9008i	1.04939	+	1.31589i	0.102359	+	0.994747i	$0.467361\pi$
$278$	−1.53870	−	0.697081i	−0.0922849	−	0.0418082i
$279$	3.86151	+	1.85961i	0.231183	+	0.111332i
$280$	1.56134	−	4.59270i	0.0933078	−	0.274466i
$281$	−16.1304	+	7.76799i	−0.962258	+	0.463399i	−0.847968	−	0.530048i	$-0.822174\pi$
$281$	−16.1304	+	7.76799i	−0.962258	+	0.463399i	−0.114291	+	0.993447i	$0.536460\pi$
$282$	−0.588207	+	0.0137815i	−0.0350272	+	0.000820673i
$283$	−22.7813	+	10.9709i	−1.35421	+	0.652151i	−0.963337	−	0.268295i	$-0.913540\pi$
$283$	−22.7813	+	10.9709i	−1.35421	+	0.652151i	−0.390869	+	0.920446i	$0.627826\pi$
$284$	−3.69913	−	6.84179i	−0.219503	−	0.405986i
$285$	1.64449	−	3.41481i	0.0974110	−	0.202276i
$286$	−26.0107	−	31.0935i	−1.53805	−	1.83860i
$287$	19.9288	−	5.62759i	1.17636	−	0.332186i
$288$	5.61810	−	0.661053i	0.331050	−	0.0389529i
$289$	9.67515	−	42.3896i	0.569127	−	2.49351i
$290$	−6.20940	+	1.57114i	−0.364629	+	0.0922606i
$291$	−2.52431	−	0.576158i	−0.147978	−	0.0337750i
$292$	10.1031	−	8.86201i	0.591241	−	0.518610i
$293$		−	17.5931i		−	1.02780i	−0.857850	−	0.513900i	$-0.828200\pi$
$293$		−	17.5931i		−	1.02780i	0.857850	−	0.513900i	$-0.171800\pi$
$294$	−8.31369	+	5.37424i	−0.484864	+	0.313432i
$295$			3.54130i			0.206182i
$296$	6.20738	−	0.436949i	0.360797	−	0.0253971i
$297$	−5.62356	−	1.28354i	−0.326312	−	0.0744786i
$298$	2.74962	+	10.8669i	0.159281	+	0.629505i
$299$	−2.90898	+	12.7451i	−0.168231	+	0.737068i
$300$	−8.05735	+	4.35634i	−0.465191	+	0.251514i
$301$	−1.57279	+	1.39066i	−0.0906539	+	0.0801564i
$302$	−7.09381	+	5.93421i	−0.408203	+	0.341475i
$303$	5.92178	−	12.2967i	0.340197	−	0.706427i
$304$	−16.2291	−	16.8409i	−0.930804	−	0.965894i
$305$	−2.47790	+	1.19329i	−0.141884	+	0.0683279i
$306$	−0.257612	−	10.9951i	−0.0147267	−	0.628550i
$307$	−0.559871	+	0.269620i	−0.0319535	+	0.0153880i	−0.449792	−	0.893133i	$-0.648502\pi$
$307$	−0.559871	+	0.269620i	−0.0319535	+	0.0153880i	0.417839	+	0.908521i	$0.362788\pi$
$308$	15.8617	+	26.0772i	0.903802	+	1.48589i
$309$	11.4703	+	5.52379i	0.652521	+	0.314237i
$310$	1.62136	−	3.57889i	0.0920870	−	0.203268i
$311$	−10.8830	−	13.6468i	−0.617116	−	0.773839i	0.370820	−	0.928705i	$-0.379077\pi$
$311$	−10.8830	−	13.6468i	−0.617116	−	0.773839i	−0.987935	+	0.154866i	$0.950505\pi$
$312$	5.19433	−	13.0609i	0.294071	−	0.739427i
$313$		−	18.9309i		−	1.07004i	−0.844840	−	0.535019i	$-0.820304\pi$
$313$		−	18.9309i		−	1.07004i	0.844840	−	0.535019i	$-0.179696\pi$
$314$	−0.669172	−	28.5610i	−0.0377636	−	1.61179i
$315$	−1.68926	−	0.296202i	−0.0951790	−	0.0166891i
$316$	2.05342	−	4.83053i	0.115514	−	0.271739i
$317$	9.73163	−	12.2031i	0.546583	−	0.685393i	−0.429431	−	0.903099i	$-0.641286\pi$
$317$	9.73163	−	12.2031i	0.546583	−	0.685393i	0.976014	+	0.217706i	$0.0698574\pi$
$318$	−4.76268	+	2.43262i	−0.267078	+	0.136415i
$319$	17.4864	−	36.3108i	0.979048	−	2.03301i
$320$	−0.726471	−	5.13463i	−0.0406110	−	0.287034i
$321$	14.6006	+	11.6436i	0.814923	+	0.649880i
$322$	3.60109	−	9.16047i	0.200681	−	0.510493i
$323$	−35.5510	+	28.3510i	−1.97811	+	1.57749i
$324$	−0.535872	−	1.92687i	−0.0297707	−	0.107049i
$325$			22.7594i			1.26246i
$326$	0.520165	+	22.2012i	0.0288093	+	1.22961i
$327$	2.85655	+	12.5154i	0.157968	+	0.692102i
$328$	16.2962	−	14.9840i	0.899807	−	0.827355i
$329$	0.641696	−	0.894342i	0.0353779	−	0.0493067i
$330$	−1.05558	+	5.18139i	−0.0581075	+	0.285226i
$331$	−2.60154	+	2.07466i	−0.142994	+	0.114034i	−0.692374	−	0.721539i	$-0.743435\pi$
$331$	−2.60154	+	2.07466i	−0.142994	+	0.114034i	0.549380	+	0.835572i	$0.314864\pi$
$332$	7.98132	+	9.09910i	0.438032	+	0.499378i
$333$	−0.489562	−	2.14491i	−0.0268278	−	0.117540i
$334$	−21.2578	+	10.8578i	−1.16318	+	0.594112i
$335$	−1.74894	+	7.66263i	−0.0955551	+	0.418654i
$336$	−5.33798	+	9.13816i	−0.291211	+	0.498527i
$337$	1.15624	+	5.06584i	0.0629846	+	0.275954i	0.996607	−	0.0823043i	$-0.0262280\pi$
$337$	1.15624	+	5.06584i	0.0629846	+	0.275954i	−0.933623	+	0.358258i	$0.883371\pi$
$338$	−10.6130	−	12.6868i	−0.577268	−	0.690072i
$339$	−7.88939	+	9.89299i	−0.428493	+	0.537313i
$340$	−10.0712	+	0.472187i	−0.546187	+	0.0256079i
$341$	10.7265	+	22.2739i	0.580875	+	1.20620i
$342$	−5.00275	+	6.58389i	−0.270518	+	0.356016i
$343$	1.33121	−	18.4724i	0.0718786	−	0.997413i
$344$	−0.829408	+	2.08551i	−0.0447187	+	0.112443i
$345$	1.53635	−	0.739868i	0.0827144	−	0.0398331i
$346$	−16.7476	+	14.0099i	−0.900357	+	0.753178i
$347$	19.2162	+	15.3244i	1.03158	+	0.822658i	0.984350	−	0.176226i	$-0.0563890\pi$
$347$	19.2162	+	15.3244i	1.03158	+	0.822658i	0.0472307	+	0.998884i	$0.484960\pi$
$348$	13.9586	−	0.654445i	0.748257	−	0.0350819i
$349$	19.7089	−	4.49843i	1.05499	−	0.240795i	0.340360	−	0.940295i	$-0.389451\pi$
$349$	19.7089	−	4.49843i	1.05499	−	0.240795i	0.714633	+	0.699500i	$0.246594\pi$
$350$	2.56340	−	16.9433i	0.137020	−	0.905656i
$351$	−4.84491	−	1.10582i	−0.258602	−	0.0590242i
$352$	27.7136	+	17.2237i	1.47714	+	0.918029i
$353$	6.99105	−	1.59566i	0.372096	−	0.0849284i	−0.0323837	−	0.999476i	$-0.510310\pi$
$353$	6.99105	−	1.59566i	0.372096	−	0.0849284i	0.404479	+	0.914547i	$0.367453\pi$
$354$	1.54230	−	7.57050i	0.0819721	−	0.402367i
$355$	1.57173	+	1.97088i	0.0834186	+	0.104604i
$356$	−10.4888	+	9.20034i	−0.555908	+	0.487617i
$357$	16.7176	+	11.9950i	0.884790	+	0.634842i
$358$	−9.03324	−	17.6856i	−0.477422	−	0.934715i
$359$	30.2292	−	6.89962i	1.59544	−	0.364148i	0.669794	−	0.742547i	$-0.266382\pi$
$359$	30.2292	−	6.89962i	1.59544	−	0.364148i	0.925643	+	0.378399i	$0.123525\pi$
$360$	−1.75442	+	0.532486i	−0.0924659	+	0.0280645i
$361$	15.1876			0.799346
$362$	13.8493	+	10.5234i	0.727904	+	0.553095i
$363$	−13.8863	−	17.4129i	−0.728842	−	0.913938i
$364$	13.6654	+	22.4665i	0.716262	+	1.17756i
$365$	−2.71576	+	3.40546i	−0.142149	+	0.178250i
$366$	5.81689	−	1.47183i	0.304054	−	0.0769336i
$367$	11.0667	+	5.32946i	0.577679	+	0.278196i	0.699822	−	0.714317i	$-0.253262\pi$
$367$	11.0667	+	5.32946i	0.577679	+	0.278196i	−0.122143	+	0.992512i	$0.538977\pi$
$368$	−0.984526	−	10.4763i	−0.0513219	−	0.546115i
$369$	−6.11934	−	4.88001i	−0.318560	−	0.254043i
$370$	−1.95524	+	0.494726i	−0.101648	+	0.0257196i
$371$	1.72798	−	9.85479i	0.0897124	−	0.511635i
$372$	−5.02476	+	6.94473i	−0.260522	+	0.360068i
$373$	−22.2904			−1.15415			−0.577077	−	0.816690i	$-0.695807\pi$
$373$	−22.2904			−1.15415			−0.577077	+	0.816690i	$0.695807\pi$
$374$	38.3812	−	50.5117i	1.98464	−	2.61190i
$375$	4.85504	−	3.87177i	0.250713	−	0.199937i
$376$	0.180646	−	1.16279i	0.00931610	−	0.0599663i
$377$	15.0651	−	31.2831i	0.775895	−	1.61116i
$378$	3.48225	+	1.36891i	0.179108	+	0.0704093i
$379$	14.5250	+	30.1616i	0.746101	+	1.54930i	0.833122	+	0.553089i	$0.186551\pi$
$379$	14.5250	+	30.1616i	0.746101	+	1.54930i	−0.0870213	+	0.996206i	$0.527735\pi$
$380$	6.14137	+	4.44350i	0.315046	+	0.227947i
$381$	7.58008	+	15.7402i	0.388340	+	0.806395i
$382$	−4.76247	+	10.5124i	−0.243669	+	0.537861i
$383$	−17.5251	−	8.43963i	−0.895489	−	0.431245i	−0.0712317	−	0.997460i	$-0.522693\pi$
$383$	−17.5251	−	8.43963i	−0.895489	−	0.431245i	−0.824258	+	0.566215i	$0.808407\pi$
$384$	−0.683186	+	11.2931i	−0.0348637	+	0.576297i
$385$	−6.55286	−	7.41105i	−0.333965	−	0.377702i
$386$	13.3659	+	6.05521i	0.680307	+	0.308202i
$387$	0.773614	+	0.176572i	0.0393250	+	0.00897568i
$388$	2.02588	−	4.76574i	0.102848	−	0.241944i
$389$	0.709906	−	3.11030i	0.0359937	−	0.157699i	−0.953737	−	0.300641i	$-0.902799\pi$
$389$	0.709906	−	3.11030i	0.0359937	−	0.157699i	0.989731	+	0.142943i	$0.0456565\pi$
$390$	−0.909418	+	4.46396i	−0.0460502	+	0.226041i
$391$	−20.4580			−1.03460
$392$	−7.64283	−	18.2644i	−0.386021	−	0.922490i
$393$	6.95625			0.350896
$394$	−1.16838	+	5.73509i	−0.0588621	+	0.288930i
$395$	−0.378555	+	1.65856i	−0.0190472	+	0.0834512i
$396$	4.51316	−	10.6169i	0.226795	−	0.533520i
$397$	−15.2654	−	3.48422i	−0.766148	−	0.174868i	−0.178450	−	0.983949i	$-0.557108\pi$
$397$	−15.2654	−	3.48422i	−0.766148	−	0.174868i	−0.587698	+	0.809081i	$0.699965\pi$
$398$	13.4255	+	6.08218i	0.672957	+	0.304872i
$399$	−4.20402	−	14.8876i	−0.210464	−	0.745310i
$400$	−5.72958	−	17.4002i	−0.286479	−	0.870009i
$401$	−19.3630	−	9.32472i	−0.966941	−	0.465654i	−0.117347	−	0.993091i	$-0.537439\pi$
$401$	−19.3630	−	9.32472i	−0.966941	−	0.465654i	−0.849594	+	0.527437i	$0.823153\pi$
$402$	7.07605	−	15.6193i	0.352921	−	0.779018i
$403$	9.24131	+	19.1898i	0.460343	+	0.955911i
$404$	22.1150	+	16.0010i	1.10026	+	0.796079i
$405$	0.281252	+	0.584027i	0.0139755	+	0.0290205i
$406$	−14.7387	+	21.5920i	−0.731470	+	1.07159i
$407$	5.50616	−	11.4337i	0.272930	−	0.566746i
$408$	21.7356	+	3.37675i	1.07607	+	0.167174i
$409$	−13.8562	+	11.0500i	−0.685147	+	0.546386i	−0.903024	−	0.429590i	$-0.858658\pi$
$409$	−13.8562	+	11.0500i	−0.685147	+	0.546386i	0.217878	+	0.975976i	$0.430087\pi$
$410$	−4.34099	+	5.71299i	−0.214386	+	0.282144i
$411$	−0.382568			−0.0188707
$412$	−14.9256	+	20.6287i	−0.735332	+	1.01630i
$413$	9.57435	+	10.8282i	0.471123	+	0.532823i
$414$	−3.60660	+	0.912563i	−0.177254	+	0.0448500i
$415$	−3.06703	−	2.44587i	−0.150554	−	0.120063i
$416$	23.8763	+	14.8389i	1.17063	+	0.727537i
$417$	−1.07618	−	0.518261i	−0.0527007	−	0.0253793i
$418$	−46.2394	+	11.6998i	−2.26164	+	0.572255i
$419$	−7.31093	+	9.16761i	−0.357162	+	0.447867i	−0.927657	−	0.373434i	$-0.878180\pi$
$419$	−7.31093	+	9.16761i	−0.357162	+	0.447867i	0.570495	+	0.821301i	$0.306752\pi$
$420$	1.17980	−	3.22078i	0.0575682	−	0.157158i
$421$	−18.3560	−	23.0177i	−0.894619	−	1.12182i	−0.991958	−	0.126565i	$-0.959605\pi$
$421$	−18.3560	−	23.0177i	−0.894619	−	1.12182i	0.0973396	−	0.995251i	$-0.468967\pi$
$422$	−10.8867	−	8.27219i	−0.529954	−	0.402684i
$423$	−0.416040			−0.0202285
$424$	−3.10641	−	10.2349i	−0.150861	−	0.497051i
$425$	−34.7236	+	7.92544i	−1.68434	+	0.384440i
$426$	−2.50164	−	4.89782i	−0.121205	−	0.237300i
$427$	−4.35046	+	10.3481i	−0.210534	+	0.500778i
$428$	−28.0784	+	24.6291i	−1.35722	+	1.19049i
$429$	−17.8723	−	22.4112i	−0.862884	−	1.08202i
$430$	0.145212	−	0.712786i	0.00700275	−	0.0343736i
$431$	24.8721	−	5.67689i	1.19805	−	0.273446i	0.423460	−	0.905915i	$-0.360816\pi$
$431$	24.8721	−	5.67689i	1.19805	−	0.273446i	0.774586	+	0.632469i	$0.217958\pi$
$432$	3.98245	−	0.374256i	0.191606	−	0.0180064i
$433$	−29.7232	−	6.78412i	−1.42840	−	0.326024i	−0.562734	−	0.826638i	$-0.690250\pi$
$433$	−29.7232	−	6.78412i	−1.42840	−	0.326024i	−0.865670	+	0.500614i	$0.833107\pi$
$434$	−4.71836	−	15.3267i	−0.226488	−	0.735707i
$435$	−4.41553	+	1.00782i	−0.211708	+	0.0483211i
$436$	−25.6463	+	1.20242i	−1.22823	+	0.0575857i
$437$	12.0256	+	9.59006i	0.575260	+	0.458755i
$438$	7.28882	−	6.09734i	0.348273	−	0.291342i
$439$	−9.61857	+	4.63206i	−0.459069	+	0.221076i	−0.649102	−	0.760702i	$-0.724855\pi$
$439$	−9.61857	+	4.63206i	−0.459069	+	0.221076i	0.190032	+	0.981778i	$0.439141\pi$
$440$	−9.82701	−	3.90821i	−0.468484	−	0.186317i
$441$	−5.96607	+	3.66143i	−0.284098	+	0.174354i
$442$	33.0668	−	43.5178i	1.57283	−	2.06993i
$443$	−5.25825	−	10.9189i	−0.249827	−	0.518771i	0.737910	−	0.674899i	$-0.235813\pi$
$443$	−5.25825	−	10.9189i	−0.249827	−	0.518771i	−0.987737	+	0.156128i	$0.950099\pi$
$444$	4.39532	−	0.206074i	0.208592	−	0.00977983i
$445$	2.81944	−	3.53547i	0.133654	−	0.167597i
$446$	0.365556	+	0.436990i	0.0173096	+	0.0206921i
$447$	1.76376	+	7.72753i	0.0834229	+	0.365499i
$448$	−16.1034	−	13.7361i	−0.760816	−	0.648967i
$449$	−5.00245	+	21.9172i	−0.236080	+	1.03434i	0.708411	+	0.705800i	$0.249412\pi$
$449$	−5.00245	+	21.9172i	−0.236080	+	1.03434i	−0.944492	+	0.328536i	$0.893445\pi$
$450$	−5.76800	+	2.94610i	−0.271906	+	0.138881i
$451$	−10.0462	−	44.0152i	−0.473057	−	2.07260i
$452$	−16.6881	−	19.0253i	−0.784943	−	0.894874i
$453$	−5.11299	+	4.07747i	−0.240229	+	0.191576i
$454$	−1.39007	+	6.82330i	−0.0652394	+	0.320234i
$455$	−5.64554	−	6.38489i	−0.264667	−	0.299328i
$456$	−11.1936	−	12.1739i	−0.524190	−	0.570094i
$457$	−1.45952	−	6.39456i	−0.0682733	−	0.299125i	0.929251	−	0.369449i	$-0.120454\pi$
$457$	−1.45952	−	6.39456i	−0.0682733	−	0.299125i	−0.997524	+	0.0703245i	$0.977597\pi$
$458$	−0.132384	−	5.65031i	−0.00618592	−	0.264022i
$459$		−	7.77687i		−	0.362993i
$460$	0.913780	+	3.28575i	0.0426052	+	0.153199i
$461$	13.0671	−	10.4207i	0.608596	−	0.485339i	−0.270029	−	0.962852i	$-0.587033\pi$
$461$	13.0671	−	10.4207i	0.608596	−	0.485339i	0.878624	+	0.477513i	$0.158462\pi$
$462$	10.7809	+	18.6970i	0.501573	+	0.869864i
$463$	7.33745	+	5.85142i	0.341000	+	0.271939i	0.778983	−	0.627044i	$-0.215736\pi$
$463$	7.33745	+	5.85142i	0.341000	+	0.271939i	−0.437983	+	0.898983i	$0.644307\pi$
$464$	−3.64234	+	27.7094i	−0.169091	+	1.28638i
$465$	1.20544	−	2.50311i	0.0559007	−	0.116079i
$466$	−19.6019	+	10.0120i	−0.908041	+	0.463798i
$467$	−8.22180	+	10.3098i	−0.380460	+	0.477081i	−0.934783	−	0.355220i	$-0.884406\pi$
$467$	−8.22180	+	10.3098i	−0.380460	+	0.477081i	0.554323	+	0.832302i	$0.312977\pi$
$468$	3.88826	−	9.14687i	0.179735	−	0.422814i
$469$	15.3691	+	28.1585i	0.709680	+	1.30024i
$470$	0.00893342	+	0.381288i	0.000412068	+	0.0175875i
$471$		−	20.2012i		−	0.930823i
$472$	14.3582	+	5.71026i	0.660889	+	0.262836i
$473$	2.85378	+	3.57852i	0.131217	+	0.164541i
$474$	1.53160	−	3.38076i	0.0703485	−	0.155283i
$475$	24.1263	+	11.6186i	1.10699	+	0.533099i
$476$	−29.5181	+	28.6725i	−1.35296	+	1.31420i
$477$	−3.40709	+	1.64077i	−0.156000	+	0.0751257i
$478$	0.438854	+	18.7308i	0.0200727	+	0.856725i
$479$	7.47379	−	3.59919i	0.341486	−	0.164451i	−0.255278	−	0.966868i	$-0.582167\pi$
$479$	7.47379	−	3.59919i	0.341486	−	0.164451i	0.596764	+	0.802417i	$0.296453\pi$
$480$	−0.428509	−	3.64177i	−0.0195587	−	0.166223i
$481$	4.74376	−	9.85053i	0.216297	−	0.449145i
$482$	−16.6160	+	13.8998i	−0.756838	+	0.633120i
$483$	2.69738	−	6.41601i	0.122735	−	0.291939i
$484$	39.1834	−	21.1852i	1.78106	−	0.962962i
$485$	−0.373478	+	1.63631i	−0.0169587	+	0.0743011i
$486$	−0.346901	−	1.37101i	−0.0157357	−	0.0621901i
$487$	−11.1096	−	2.53569i	−0.503423	−	0.114903i	−0.0367350	−	0.999325i	$-0.511696\pi$
$487$	−11.1096	−	2.53569i	−0.503423	−	0.114903i	−0.466688	+	0.884422i	$0.654553\pi$
$488$	0.842646	+	11.9708i	0.0381448	+	0.541893i
$489$			15.7029i			0.710112i
$490$	3.48370	+	5.38911i	0.157377	+	0.243455i
$491$		−	4.93843i		−	0.222868i	−0.993772	−	0.111434i	$-0.964456\pi$
$491$		−	4.93843i		−	0.222868i	0.993772	−	0.111434i	$-0.0355444\pi$
$492$	11.7682	−	10.3225i	0.530550	−	0.465374i
$493$	52.9742	+	12.0910i	2.38584	+	0.544552i
$494$	−39.8370	+	10.0798i	−1.79235	+	0.453512i
$495$	−0.832018	+	3.64531i	−0.0373964	+	0.163844i
$496$	−11.8962	−	12.3447i	−0.534155	−	0.554292i
$497$	10.1344	+	1.77701i	0.454590	+	0.0797099i
$498$	5.49139	+	6.56446i	0.246075	+	0.294161i
$499$	11.5477	−	23.9790i	0.516945	−	1.07345i	−0.465180	−	0.885216i	$-0.654010\pi$
$499$	11.5477	−	23.9790i	0.516945	−	1.07345i	0.982125	−	0.188231i	$-0.0602754\pi$
$500$	5.90683	+	10.9251i	0.264162	+	0.488584i
$501$	−15.2073	+	7.32343i	−0.679410	+	0.327187i
$502$	1.99198	−	0.0466713i	0.0889065	−	0.00208304i
$503$	10.0917	−	4.85989i	0.449965	−	0.216692i	−0.195156	−	0.980772i	$-0.562521\pi$
$503$	10.0917	−	4.85989i	0.449965	−	0.216692i	0.645121	+	0.764080i	$0.276807\pi$
$504$	−3.92484	+	6.37147i	−0.174826	+	0.283808i
$505$	−7.97098	−	3.83862i	−0.354704	−	0.170816i
$506$	−19.5468	−	8.85534i	−0.868960	−	0.393668i
$507$	−7.29230	−	9.14426i	−0.323863	−	0.406111i
$508$	−33.6631	+	9.36185i	−1.49356	+	0.415365i
$509$		−	12.1086i		−	0.536704i	−0.963321	−	0.268352i	$-0.913521\pi$
$509$		−	12.1086i		−	0.536704i	0.963321	−	0.268352i	$-0.0864790\pi$
$510$	−7.12728	+	0.166989i	−0.315601	+	0.00739440i
$511$	0.903093	+	17.7553i	0.0399505	+	0.785447i
$512$	−21.9897	−	5.33400i	−0.971818	−	0.235732i
$513$	−3.64555	+	4.57138i	−0.160955	+	0.201831i
$514$	−15.4786	−	30.3046i	−0.682732	−	1.33668i
$515$	3.58064	−	7.43527i	0.157782	−	0.327637i
$516$	−0.620861	+	1.46053i	−0.0273319	+	0.0642964i
$517$	−1.87623	−	1.49624i	−0.0825166	−	0.0658048i
$518$	−4.64098	+	6.79895i	−0.203913	+	0.298729i
$519$	−12.0711	+	9.62641i	−0.529864	+	0.422552i
$520$	−8.46633	−	3.36707i	−0.371273	−	0.147656i
$521$		−	18.5169i		−	0.811242i	−0.914041	−	0.405621i	$-0.867055\pi$
$521$		−	18.5169i		−	0.811242i	0.914041	−	0.405621i	$-0.132945\pi$
$522$	9.87832	−	0.231445i	0.432362	−	0.0101301i
$523$	−1.17420	−	5.14449i	−0.0513440	−	0.224953i	0.942746	−	0.333511i	$-0.108234\pi$
$523$	−1.17420	−	5.14449i	−0.0513440	−	0.224953i	−0.994090	+	0.108559i	$0.965376\pi$
$524$	−2.45719	+	13.6938i	−0.107343	+	0.598216i
$525$	2.09273	−	11.9350i	0.0913341	−	0.520884i
$526$	−22.9188	−	4.66912i	−0.999307	−	0.203583i
$527$	−26.0595	+	20.7817i	−1.13517	+	0.905267i
$528$	19.3058	+	12.6347i	0.840178	+	0.549855i
$529$	−3.57810	−	15.6767i	−0.155570	−	0.681595i
$530$	1.57688	+	3.08727i	0.0684951	+	0.134102i
$531$	1.21566	−	5.32614i	0.0527550	−	0.231135i
$532$	30.7920	−	3.01706i	1.33500	−	0.130806i
$533$	−8.65517	−	37.9208i	−0.374897	−	1.64253i
$534$	−7.56708	+	6.33011i	−0.327460	+	0.273931i
$535$	7.54759	−	9.46438i	0.326311	−	0.409181i
$536$	28.2479	+	19.4469i	1.22013	+	0.839978i
$537$	−6.09279	−	12.6518i	−0.262923	−	0.545966i
$538$	9.45634	+	7.18537i	0.407692	+	0.309783i
$539$	−40.0734	−	4.94428i	−1.72608	−	0.212965i
$540$	−1.24904	+	0.347363i	−0.0537501	+	0.0149481i
$541$	−26.9053	+	12.9569i	−1.15675	+	0.557061i	−0.911054	−	0.412286i	$-0.864730\pi$
$541$	−26.9053	+	12.9569i	−1.15675	+	0.557061i	−0.245695	+	0.969347i	$0.579016\pi$
$542$	15.9623	+	19.0815i	0.685638	+	0.819619i
$543$	9.61596	+	7.66847i	0.412660	+	0.329086i
$544$	−14.3251	+	41.5950i	−0.614183	+	1.78337i
$545$	8.11273	−	1.85168i	0.347511	−	0.0793171i
$546$	9.28815	+	16.1082i	0.397496	+	0.689367i
$547$	2.98391	+	0.681058i	0.127583	+	0.0291199i	0.285835	−	0.958279i	$-0.407729\pi$
$547$	2.98391	+	0.681058i	0.127583	+	0.0291199i	−0.158253	+	0.987399i	$0.550586\pi$
$548$	0.135136	−	0.753108i	0.00577274	−	0.0321712i
$549$	4.13641	−	0.944109i	0.176538	−	0.0402936i
$550$	−36.6076	−	7.45785i	−1.56095	−	0.318004i
$551$	−25.4713	−	31.9400i	−1.08511	−	1.36069i
$552$	−0.522458	−	7.42214i	−0.0222373	−	0.315907i
$553$	3.32661	+	6.09485i	0.141462	+	0.259179i
$554$	−35.2797	+	18.0197i	−1.49889	+	0.765584i
$555$	−1.39038	+	0.317344i	−0.0590182	+	0.0134705i
$556$	1.40037	−	1.93545i	0.0593890	−	0.0820816i
$557$	−9.97224			−0.422537			−0.211269	−	0.977428i	$-0.567760\pi$
$557$	−9.97224			−0.422537			−0.211269	+	0.977428i	$0.567760\pi$
$558$	−3.66709	+	4.82610i	−0.155240	+	0.204305i
$559$	2.45863	+	3.08303i	0.103989	+	0.130398i
$560$	5.92354	+	3.46019i	0.250315	+	0.146220i
$561$	27.9688	−	35.0717i	1.18084	−	1.48073i
$562$	−6.21069	−	24.5457i	−0.261982	−	1.03540i
$563$	−3.24935	−	1.56481i	−0.136944	−	0.0659487i	0.364157	−	0.931338i	$-0.381357\pi$
$563$	−3.24935	−	1.56481i	−0.136944	−	0.0659487i	−0.501101	+	0.865389i	$0.667071\pi$
$564$	0.146960	−	0.818998i	0.00618812	−	0.0344861i
$565$	6.41284	+	5.11407i	0.269790	+	0.215150i
$566$	−8.77149	−	34.6663i	−0.368693	−	1.45713i
$567$	2.43898	+	1.02538i	0.102427	+	0.0430618i
$568$	10.5253	−	3.19455i	0.441632	−	0.134041i
$569$	0.861680			0.0361235			0.0180617	−	0.999837i	$-0.494250\pi$
$569$	0.861680			0.0361235			0.0180617	+	0.999837i	$0.494250\pi$
$570$	4.26782	+	3.24289i	0.178759	+	0.135830i
$571$	−19.7260	+	15.7309i	−0.825505	+	0.658319i	−0.942275	−	0.334841i	$-0.891318\pi$
$571$	−19.7260	+	15.7309i	−0.825505	+	0.658319i	0.116769	+	0.993159i	$0.462746\pi$
$572$	50.4309	−	27.2663i	2.10862	−	1.14006i
$573$	−3.54076	+	7.35247i	−0.147917	+	0.307154i
$574$	2.17232	+	29.2050i	0.0906708	+	1.21899i
$575$	5.22731	+	10.8546i	0.217994	+	0.452669i
$576$	−0.669996	+	7.97189i	−0.0279165	+	0.332162i
$577$	−2.14458	−	4.45327i	−0.0892801	−	0.185392i	0.851548	−	0.524277i	$-0.175664\pi$
$577$	−2.14458	−	4.45327i	−0.0892801	−	0.185392i	−0.940828	+	0.338885i	$0.889950\pi$
$578$	56.0100	+	25.3744i	2.32971	+	1.05544i
$579$	9.34825	+	4.50188i	0.388500	+	0.187092i
$580$	−0.424225	−	9.04822i	−0.0176150	−	0.375707i
$581$	−15.9908	+	0.813345i	−0.663409	+	0.0337432i
$582$	1.51105	−	3.33541i	0.0626351	−	0.138257i
$583$	−21.2660	−	4.85382i	−0.880747	−	0.201025i
$584$	9.42830	+	16.5023i	0.390146	+	0.682868i
$585$	−0.716814	+	3.14057i	−0.0296366	+	0.129847i
$586$	24.3796	+	4.96672i	1.00711	+	0.205173i
$587$	17.4203			0.719013			0.359507	−	0.933143i	$-0.382945\pi$
$587$	17.4203			0.719013			0.359507	+	0.933143i	$0.382945\pi$
$588$	−5.10031	−	13.0379i	−0.210333	−	0.537674i
$589$	25.0600			1.03258
$590$	−4.90735	−	0.999748i	−0.202033	−	0.0411590i
$591$	−0.920930	+	4.03486i	−0.0378820	+	0.165972i
$592$	−1.14691	+	8.72523i	−0.0471377	+	0.358605i
$593$	0.721158	+	0.164600i	0.0296144	+	0.00675930i	0.237302	−	0.971436i	$-0.423737\pi$
$593$	0.721158	+	0.164600i	0.0296144	+	0.00675930i	−0.207688	+	0.978195i	$0.566594\pi$
$594$	3.36626	−	7.43048i	0.138119	−	0.304876i
$595$	7.77540	−	10.8367i	0.318760	−	0.444261i
$596$	−15.8351	+	0.742428i	−0.648632	+	0.0304110i
$597$	9.38989	+	4.52193i	0.384303	+	0.185070i
$598$	−16.8403	−	7.62920i	−0.688650	−	0.311981i
$599$	−8.79380	−	18.2605i	−0.359305	−	0.746105i	0.640455	−	0.767995i	$-0.278746\pi$
$599$	−8.79380	−	18.2605i	−0.359305	−	0.746105i	−0.999760	+	0.0218908i	$0.993031\pi$
$600$	−3.76212	−	12.3953i	−0.153588	−	0.506036i
$601$	−1.75731	−	3.64910i	−0.0716824	−	0.148850i	0.862048	−	0.506826i	$-0.169181\pi$
$601$	−1.75731	−	3.64910i	−0.0716824	−	0.148850i	−0.933731	+	0.357976i	$0.883467\pi$
$602$	−1.48309	−	2.57209i	−0.0604463	−	0.104830i
$603$	5.26085	−	10.9243i	0.214238	−	0.444870i
$604$	−6.22066	−	11.5055i	−0.253115	−	0.468153i
$605$	−11.2874	+	9.00139i	−0.458897	+	0.365958i
$606$	15.3684	+	11.6776i	0.624297	+	0.474370i
$607$	−7.21238			−0.292742			−0.146371	−	0.989230i	$-0.546759\pi$
$607$	−7.21238			−0.292742			−0.146371	+	0.989230i	$0.546759\pi$
$608$	27.9190	−	17.7351i	1.13226	−	0.719253i
$609$	−10.7766	+	15.0195i	−0.436690	+	0.608622i
$610$	−0.954068	−	3.77063i	−0.0386291	−	0.152668i
$611$	−1.61644	−	1.28907i	−0.0653943	−	0.0521502i
$612$	15.3092	+	2.74706i	0.618839	+	0.111043i
$613$	1.50105	+	0.722869i	0.0606269	+	0.0291964i	0.463952	−	0.885861i	$-0.346431\pi$
$613$	1.50105	+	0.722869i	0.0606269	+	0.0291964i	−0.403325	+	0.915057i	$0.632145\pi$
$614$	−0.215568	−	0.851958i	−0.00869960	−	0.0343822i
$615$	−3.16333	+	3.96669i	−0.127558	+	0.159952i
$616$	−40.6144	+	14.6184i	−1.63640	+	0.588992i
$617$	21.2565	+	26.6548i	0.855755	+	1.07308i	0.996546	+	0.0830432i	$0.0264639\pi$
$617$	21.2565	+	26.6548i	0.855755	+	1.07308i	−0.140791	+	0.990039i	$0.544965\pi$
$618$	−10.8928	+	14.3355i	−0.438171	+	0.576658i
$619$	8.35200			0.335695			0.167848	−	0.985813i	$-0.446318\pi$
$619$	8.35200			0.335695			0.167848	+	0.985813i	$0.446318\pi$
$620$	4.50172	+	3.25716i	0.180793	+	0.130811i
$621$	−2.56466	+	0.585368i	−0.102916	+	0.0234900i
$622$	21.9834	−	11.2284i	0.881455	−	0.450218i
$623$	−0.937571	−	18.4331i	−0.0375630	−	0.738507i
$624$	16.6327	+	10.8853i	0.665840	+	0.435759i
$625$	11.7676	+	14.7561i	0.470703	+	0.590242i
$626$	26.2335	+	5.34440i	1.04850	+	0.213605i
$627$	−32.8810	+	7.50488i	−1.31314	+	0.299716i
$628$	39.7673	+	7.13578i	1.58689	+	0.284748i
$629$	16.6807	+	3.80726i	0.665103	+	0.151805i
$630$	0.887358	−	2.25727i	0.0353532	−	0.0899317i
$631$	−24.0079	+	5.47965i	−0.955739	+	0.218141i	−0.671826	−	0.740709i	$-0.734490\pi$
$631$	−24.0079	+	5.47965i	−0.955739	+	0.218141i	−0.283913	+	0.958850i	$0.591633\pi$
$632$	6.11421	+	4.20924i	0.243210	+	0.167435i
$633$	−7.55891	−	6.02803i	−0.300440	−	0.239593i
$634$	14.1631	+	16.9307i	0.562487	+	0.672403i
$635$	10.2031	−	4.91357i	0.404899	−	0.194989i
$636$	−2.02645	−	7.28664i	−0.0803538	−	0.288934i
$637$	−34.5247	−	4.25968i	−1.36792	−	0.168775i
$638$	45.3811	+	34.4826i	1.79665	+	1.36518i
$639$	−1.68732	−	3.50376i	−0.0667495	−	0.138607i
$640$	7.32040	+	0.442855i	0.289364	+	0.0175054i
$641$	−16.8360	+	21.1117i	−0.664983	+	0.833862i	−0.993876	−	0.110505i	$-0.964753\pi$
$641$	−16.8360	+	21.1117i	−0.664983	+	0.833862i	0.328893	+	0.944367i	$0.393325\pi$
$642$	−20.2569	+	16.9456i	−0.799478	+	0.668789i
$643$	6.67320	+	29.2372i	0.263165	+	1.15300i	0.917796	+	0.397053i	$0.129967\pi$
$643$	6.67320	+	29.2372i	0.263165	+	1.15300i	−0.654631	+	0.755949i	$0.727176\pi$
$644$	11.6775	+	7.57631i	0.460158	+	0.298548i
$645$	0.114458	−	0.501473i	0.00450677	−	0.0197455i
$646$	−29.2509	−	57.2686i	−1.15086	−	2.25320i
$647$	2.29370	+	10.0494i	0.0901746	+	0.395081i	0.999793	−	0.0203648i	$-0.00648277\pi$
$647$	2.29370	+	10.0494i	0.0901746	+	0.395081i	−0.909618	+	0.415446i	$0.863626\pi$
$648$	2.82145	−	0.198607i	0.110837	−	0.00780201i
$649$	24.6372	−	19.6475i	0.967095	−	0.771233i
$650$	−31.5388	−	6.42522i	−1.23705	−	0.252018i
$651$	−3.08162	−	10.9128i	−0.120778	−	0.427707i
$652$	−30.9122	−	5.54683i	−1.21061	−	0.217231i
$653$	5.83949	+	25.5845i	0.228517	+	1.00120i	0.950850	+	0.309653i	$0.100213\pi$
$653$	5.83949	+	25.5845i	0.228517	+	1.00120i	−0.722333	+	0.691546i	$0.756930\pi$
$654$	−18.1496	+	0.425238i	−0.709706	+	0.0166281i
$655$		−	4.50919i		−	0.176188i
$656$	16.1635	+	26.8126i	0.631079	+	1.04686i
$657$	5.25354	−	4.18956i	0.204960	−	0.163450i
$658$	1.05818	+	1.14171i	0.0412520	+	0.0445086i
$659$	−38.7376	−	30.8922i	−1.50900	−	1.20339i	−0.917911	−	0.396787i	$-0.870125\pi$
$659$	−38.7376	−	30.8922i	−1.50900	−	1.20339i	−0.591093	−	0.806604i	$-0.701303\pi$
$660$	−6.88211	−	2.92553i	−0.267886	−	0.113876i
$661$	16.8068	−	34.8997i	0.653710	−	1.35744i	−0.265667	−	0.964065i	$-0.585592\pi$
$661$	16.8068	−	34.8997i	0.653710	−	1.35744i	0.919377	−	0.393378i	$-0.128694\pi$
$662$	−2.14051	−	4.19078i	−0.0831934	−	0.162879i
$663$	24.0961	−	30.2156i	0.935816	−	1.17348i
$664$	−14.8623	+	8.49133i	−0.576768	+	0.329527i
$665$	−9.65042	+	2.72514i	−0.374227	+	0.105676i
$666$	3.11052	−	0.0728781i	0.120530	−	0.00282397i
$667$		−	18.3800i		−	0.711676i
$668$	−9.04487	−	32.5233i	−0.349957	−	1.25836i
$669$	0.251179	+	0.314968i	0.00971113	+	0.0121774i
$670$	−10.1247	−	4.58684i	−0.391153	−	0.177205i
$671$	22.0496	+	10.6185i	0.851214	+	0.409923i
$672$	−11.1562	−	9.97691i	−0.430361	−	0.384868i
$673$	−14.5208	+	6.99284i	−0.559735	+	0.269554i	−0.692287	−	0.721622i	$-0.743397\pi$
$673$	−14.5208	+	6.99284i	−0.559735	+	0.269554i	0.132553	+	0.991176i	$0.457683\pi$
$674$	−7.34640	+	0.172123i	−0.282973	+	0.00662993i
$675$	−4.12627	+	1.98711i	−0.158820	+	0.0764837i
$676$	20.5769	−	11.1253i	0.791420	−	0.427895i
$677$	−16.2403	+	33.7234i	−0.624166	+	1.29609i	0.313840	+	0.949476i	$0.398384\pi$
$677$	−16.2403	+	33.7234i	−0.624166	+	1.29609i	−0.938006	+	0.346619i	$0.887330\pi$
$678$	−11.4819	−	13.7256i	−0.440961	−	0.527129i
$679$	3.28199	+	6.01310i	0.125951	+	0.230762i
$680$	2.18888	−	14.0895i	0.0839396	−	0.540306i
$681$	−1.09567	+	4.80046i	−0.0419863	+	0.183954i
$682$	−33.8942	+	8.57613i	−1.29788	+	0.328397i
$683$	15.9739	+	3.64594i	0.611225	+	0.139508i	0.516918	−	0.856035i	$-0.327079\pi$
$683$	15.9739	+	3.64594i	0.611225	+	0.139508i	0.0943072	+	0.995543i	$0.469936\pi$
$684$	−7.71129	−	8.79126i	−0.294849	−	0.336142i
$685$			0.247988i			0.00947515i
$686$	25.2222	+	7.05967i	0.962989	+	0.269540i
$687$		−	3.99647i		−	0.152475i
$688$	−2.65584	−	1.73811i	−0.101253	−	0.0662649i
$689$	−18.3214	−	4.18175i	−0.697991	−	0.159312i
$690$	0.591542	+	2.33787i	0.0225196	+	0.0890012i
$691$	−3.97097	+	17.3979i	−0.151063	+	0.661849i	0.841515	+	0.540234i	$0.181664\pi$
$691$	−3.97097	+	17.3979i	−0.151063	+	0.661849i	−0.992577	+	0.121615i	$0.961193\pi$
$692$	−14.6862	−	27.1631i	−0.558286	−	1.03259i
$693$	7.31148	+	13.3957i	0.277740	+	0.508861i
$694$	−26.6607	+	22.3026i	−1.01203	+	0.846595i
$695$	−0.335947	+	0.697602i	−0.0127432	+	0.0264615i
$696$	−3.03376	+	19.5278i	−0.114994	+	0.740200i
$697$	54.8411	−	26.4101i	2.07726	−	1.00035i
$698$	0.669654	+	28.5815i	0.0253468	+	1.08183i
$699$	−14.0227	+	6.75296i	−0.530386	+	0.255421i
$700$	22.7554	+	8.33550i	0.860075	+	0.315052i
$701$	−4.56261	−	2.19724i	−0.172328	−	0.0829886i	0.345731	−	0.938334i	$-0.387631\pi$
$701$	−4.56261	−	2.19724i	−0.172328	−	0.0829886i	−0.518059	+	0.855345i	$0.673345\pi$
$702$	2.90016	−	6.40164i	0.109459	−	0.241614i
$703$	−8.02048	−	10.0574i	−0.302498	−	0.379321i
$704$	−31.6916	+	33.5416i	−1.19442	+	1.26415i
$705$			0.269685i			0.0101569i
$706$	0.237536	+	10.1383i	0.00893979	+	0.381560i
$707$	−34.7510	+	9.81318i	−1.30695	+	0.369063i
$708$	10.0554	+	4.27447i	0.377905	+	0.160644i
$709$	−11.0506	+	13.8570i	−0.415015	+	0.520412i	−0.944768	−	0.327740i	$-0.893713\pi$
$709$	−11.0506	+	13.8570i	−0.415015	+	0.520412i	0.529753	+	0.848152i	$0.322285\pi$
$710$	−3.17487	+	1.62162i	−0.119151	+	0.0608582i
$711$	1.13870	−	2.36453i	0.0427045	−	0.0886769i
$712$	−9.78825	−	17.1323i	−0.366830	−	0.642059i
$713$	8.81492	+	7.02966i	0.330121	+	0.263263i
$714$	−21.3416	+	19.7801i	−0.798690	+	0.740251i
$715$	−14.5274	+	11.5852i	−0.543294	+	0.433262i
$716$	27.0580	−	7.52496i	1.01121	−	0.281221i
$717$			13.2483i			0.494766i
$718$	1.02710	+	43.8379i	0.0383312	+	1.63602i
$719$	9.77167	+	42.8125i	0.364422	+	1.59664i	0.741829	+	0.670589i	$0.233958\pi$
$719$	9.77167	+	42.8125i	0.364422	+	1.59664i	−0.377407	+	0.926047i	$0.623184\pi$
$720$	−0.242601	−	2.58151i	−0.00904120	−	0.0962072i
$721$	−9.15366	−	32.4155i	−0.340900	−	1.20722i
$722$	−4.28762	+	21.0462i	−0.159569	+	0.783257i
$723$	−11.9763	+	9.55076i	−0.445403	+	0.355197i
$724$	−18.4925	+	16.2208i	−0.687270	+	0.602842i
$725$	−7.12042	−	31.1966i	−0.264446	−	1.15861i
$726$	28.0501	−	14.3271i	1.04104	−	0.531728i
$727$	−8.96489	+	39.2777i	−0.332489	+	1.45673i	0.481805	+	0.876279i	$0.339981\pi$
$727$	−8.96489	+	39.2777i	−0.332489	+	1.45673i	−0.814294	+	0.580452i	$0.802876\pi$
$728$	−34.9908	+	12.5943i	−1.29685	+	0.466776i
$729$	−0.222521	−	0.974928i	−0.00824152	−	0.0361084i
$730$	−3.95242	−	4.72476i	−0.146286	−	0.174871i
$731$	−3.84757	+	4.82470i	−0.142307	+	0.178448i
$732$	0.397409	+	8.47627i	0.0146887	+	0.313292i
$733$	−5.86717	−	12.1833i	−0.216709	−	0.450001i	0.764067	−	0.645137i	$-0.223200\pi$
$733$	−5.86717	−	12.1833i	−0.216709	−	0.450001i	−0.980776	+	0.195136i	$0.937485\pi$
$734$	−10.5096	+	13.8312i	−0.387915	+	0.510517i
$735$	2.37341	+	3.86733i	0.0875446	+	0.142649i
$736$	14.7955	+	1.59327i	0.545369	+	0.0587288i
$737$	63.0131	−	30.3455i	2.32112	−	1.11779i
$738$	8.49003	−	7.10219i	0.312522	−	0.261435i
$739$	3.59382	+	2.86597i	0.132201	+	0.105427i	0.687358	−	0.726319i	$-0.258770\pi$
$739$	3.59382	+	2.86597i	0.132201	+	0.105427i	−0.555157	+	0.831745i	$0.687342\pi$
$740$	−0.133581	−	2.84913i	−0.00491055	−	0.104736i
$741$	−28.3282	+	6.46573i	−1.04066	+	0.237525i
$742$	13.1684	+	5.17667i	0.483429	+	0.190041i
$743$	−21.7133	−	4.95591i	−0.796582	−	0.181815i	−0.195186	−	0.980766i	$-0.562531\pi$
$743$	−21.7133	−	4.95591i	−0.796582	−	0.181815i	−0.601395	+	0.798952i	$0.705388\pi$
$744$	−8.20511	−	8.92364i	−0.300814	−	0.327156i
$745$	5.00914	−	1.14330i	0.183521	−	0.0418874i
$746$	6.29282	−	30.8889i	0.230397	−	1.13092i
$747$	3.77321	+	4.73145i	0.138054	+	0.173115i
$748$	59.1612	+	67.4467i	2.16315	+	2.46610i
$749$	−2.50986	−	49.3451i	−0.0917083	−	1.80303i
$750$	3.99467	+	7.82091i	0.145865	+	0.285579i
$751$	40.1406	−	9.16182i	1.46475	−	0.334320i	0.585497	−	0.810675i	$-0.300899\pi$
$751$	40.1406	−	9.16182i	1.46475	−	0.334320i	0.879253	+	0.476355i	$0.158042\pi$
$752$	1.56034	+	0.578598i	0.0568996	+	0.0210993i
$753$	1.40893			0.0513443
$754$	39.0975	+	29.7081i	1.42385	+	1.08190i
$755$	2.64310	+	3.31435i	0.0961924	+	0.120621i
$756$	−2.88005	+	4.43907i	−0.104746	+	0.161447i
$757$	26.3752	−	33.0735i	0.958625	−	1.20208i	−0.0207006	−	0.999786i	$-0.506590\pi$
$757$	26.3752	−	33.0735i	0.958625	−	1.20208i	0.979325	−	0.202292i	$-0.0648389\pi$
$758$	−45.8969	+	11.6131i	−1.66705	+	0.421808i
$759$	−13.6712	−	6.58370i	−0.496233	−	0.238973i
$760$	−7.89135	+	7.25595i	−0.286250	+	0.263201i
$761$	22.9046	+	18.2658i	0.830292	+	0.662136i	0.943477	−	0.331438i	$-0.107534\pi$
$761$	22.9046	+	18.2658i	0.830292	+	0.662136i	−0.113185	+	0.993574i	$0.536105\pi$
$762$	−23.9519	+	6.06046i	−0.867687	+	0.219547i
$763$	19.8001	−	27.5956i	0.716810	−	0.999030i
$764$	−13.2230	−	9.56735i	−0.478393	−	0.346135i
$765$	−5.04113			−0.182262
$766$	16.6427	−	21.9028i	0.601326	−	0.791379i
$767$	21.2259	−	16.9271i	0.766422	−	0.611201i
$768$	−15.4565	−	4.13488i	−0.557738	−	0.149205i
$769$	−4.26600	+	8.85844i	−0.153836	+	0.319443i	−0.963616	−	0.267290i	$-0.913872\pi$
$769$	−4.26600	+	8.85844i	−0.153836	+	0.319443i	0.809780	+	0.586733i	$0.199586\pi$
$770$	12.1198	−	6.98840i	0.436767	−	0.251845i
$771$	−10.4401	−	21.6791i	−0.375991	−	0.780753i
$772$	−12.1643	+	16.8124i	−0.437804	+	0.605090i
$773$	−5.01566	−	10.4151i	−0.180401	−	0.374606i	0.791084	−	0.611707i	$-0.209517\pi$
$773$	−5.01566	−	10.4151i	−0.180401	−	0.374606i	−0.971485	+	0.237101i	$0.923803\pi$
$774$	−0.463085	+	1.02219i	−0.0166452	+	0.0367417i
$775$	17.6850	+	8.51664i	0.635263	+	0.305927i
$776$	6.03219	+	4.15278i	0.216543	+	0.149076i
$777$	−3.39337	+	4.72940i	−0.121737	+	0.169666i
$778$	4.10968	+	1.86182i	0.147339	+	0.0667496i
$779$	−44.6168	−	10.1835i	−1.59856	−	0.364861i
$780$	−5.92919	−	2.52045i	−0.212299	−	0.0902466i
$781$	4.99154	−	21.8694i	0.178611	−	0.782548i
$782$	5.77551	−	28.3496i	0.206532	−	1.01378i
$783$	6.98694			0.249693
$784$	27.4675	−	5.43481i	0.980982	−	0.194100i
$785$	−13.0948			−0.467375
$786$	−1.96383	+	9.63962i	−0.0700473	+	0.343834i
$787$	−8.90091	+	38.9975i	−0.317283	+	1.39011i	0.525013	+	0.851094i	$0.324060\pi$
$787$	−8.90091	+	38.9975i	−0.317283	+	1.39011i	−0.842296	+	0.539015i	$0.818797\pi$
$788$	−7.61755	−	3.23816i	−0.271364	−	0.115355i
$789$	−16.1243	−	3.68026i	−0.574039	−	0.131021i
$790$	−2.19148	−	0.992812i	−0.0779692	−	0.0353227i
$791$	33.4351	−	1.70062i	1.18881	−	0.0604671i
$792$	13.4383	+	9.25138i	0.477508	+	0.328734i
$793$	18.9965	+	9.14824i	0.674586	+	0.324864i
$794$	9.13785	−	20.1704i	0.324290	−	0.715819i
$795$	1.06358	+	2.20855i	0.0377213	+	0.0783291i
$796$	−12.2185	+	16.8872i	−0.433074	+	0.598553i
$797$	12.1586	+	25.2476i	0.430680	+	0.894316i	0.997513	+	0.0704836i	$0.0224542\pi$
$797$	12.1586	+	25.2476i	0.430680	+	0.894316i	−0.566833	+	0.823833i	$0.691831\pi$
$798$	21.8173	−	1.62280i	0.772322	−	0.0574466i
$799$	1.40382	−	2.91507i	0.0496638	−	0.103128i
$800$	25.7298	−	3.02750i	0.909686	−	0.107038i
$801$	−5.45411	+	4.34951i	−0.192712	+	0.153682i
$802$	18.3881	−	24.1998i	0.649306	−	0.854523i
$803$	38.7595			1.36779
$804$	19.6467	+	14.2151i	0.692887	+	0.501329i
$805$	−4.15899	−	1.74850i	−0.146585	−	0.0616264i
$806$	−29.2012	+	7.38865i	−1.02857	+	0.260254i
$807$	6.56580	+	5.23605i	0.231127	+	0.184318i
$808$	−28.4167	+	26.1286i	−0.999695	+	0.919200i
$809$	15.0722	+	7.25838i	0.529910	+	0.255191i	0.679653	−	0.733534i	$-0.262130\pi$
$809$	15.0722	+	7.25838i	0.529910	+	0.255191i	−0.149743	+	0.988725i	$0.547845\pi$
$810$	−0.888715	+	0.224868i	−0.0312263	+	0.00790106i
$811$	11.7029	−	14.6749i	0.410943	−	0.515307i	−0.532685	−	0.846314i	$-0.678817\pi$
$811$	11.7029	−	14.6749i	0.410943	−	0.515307i	0.943628	+	0.331007i	$0.107388\pi$
$812$	−25.7602	−	26.5198i	−0.904004	−	0.930663i
$813$	10.9679	+	13.7533i	0.384661	+	0.482349i
$814$	14.2897	+	10.8580i	0.500855	+	0.380573i
$815$	10.1790			0.356554
$816$	−10.8155	+	29.1668i	−0.378619	+	1.02104i
$817$	4.52333	−	1.03242i	0.158251	−	0.0361198i
$818$	−11.4007	−	22.3208i	−0.398617	−	0.780428i
$819$	6.29912	+	11.5409i	0.220109	+	0.403272i
$820$	−6.69126	−	7.62837i	−0.233669	−	0.266394i
$821$	−32.3923	−	40.6187i	−1.13050	−	1.41760i	−0.895191	−	0.445682i	$-0.852961\pi$
$821$	−32.3923	−	40.6187i	−1.13050	−	1.41760i	−0.235309	−	0.971921i	$-0.575610\pi$
$822$	0.108003	−	0.530143i	0.00376704	−	0.0184909i
$823$	11.7656	−	2.68543i	0.410124	−	0.0936082i	−0.0124807	−	0.999922i	$-0.503973\pi$
$823$	11.7656	−	2.68543i	0.410124	−	0.0936082i	0.422605	+	0.906314i	$0.361116\pi$
$824$	−24.3725	−	26.5069i	−0.849058	−	0.923410i
$825$	−25.7548	−	5.87837i	−0.896668	−	0.204659i
$826$	−17.7082	+	10.2107i	−0.616146	+	0.355276i
$827$	−15.6051	+	3.56176i	−0.542643	+	0.123855i	−0.485052	−	0.874486i	$-0.661199\pi$
$827$	−15.6051	+	3.56176i	−0.542643	+	0.123855i	−0.0575912	+	0.998340i	$0.518342\pi$
$828$	−0.246402	−	5.25546i	−0.00856305	−	0.182640i
$829$	33.5125	+	26.7253i	1.16394	+	0.928209i	0.998318	−	0.0579809i	$-0.0184663\pi$
$829$	33.5125	+	26.7253i	1.16394	+	0.928209i	0.165619	+	0.986190i	$0.447038\pi$
$830$	4.25522	−	3.55963i	0.147701	−	0.123557i
$831$	−25.2381	+	12.1540i	−0.875501	+	0.421619i
$832$	−27.3035	+	28.8974i	−0.946580	+	1.00184i
$833$	−5.52352	−	54.1572i	−0.191379	−	1.87643i
$834$	1.02200	−	1.34500i	0.0353888	−	0.0465737i
$835$	4.74720	+	9.85766i	0.164284	+	0.341139i
$836$	−3.15907	−	67.3792i	−0.109259	−	2.33036i
$837$	−2.67225	+	3.35089i	−0.0923664	+	0.115824i
$838$	−10.6401	−	12.7192i	−0.367555	−	0.439378i
$839$	−5.71645	−	25.0454i	−0.197354	−	0.864663i	−0.972504	−	0.232886i	$-0.925183\pi$
$839$	−5.71645	−	25.0454i	−0.197354	−	0.864663i	0.775150	−	0.631777i	$-0.217674\pi$
$840$	4.13012	+	2.54416i	0.142503	+	0.0877820i
$841$	−4.40978	+	19.3205i	−0.152061	+	0.666225i
$842$	37.0789	−	18.9387i	1.27782	−	0.652671i
$843$	−3.98388	−	17.4545i	−0.137212	−	0.601165i
$844$	14.5366	−	12.7508i	0.500370	−	0.438902i
$845$	−5.92750	+	4.72702i	−0.203912	+	0.162615i
$846$	0.117453	−	0.576526i	0.00403810	−	0.0198214i
$847$	−10.1771	+	58.0404i	−0.349688	+	1.99429i
$848$	15.0600	−	1.41528i	0.517162	−	0.0486010i
$849$	−5.62651	−	24.6513i	−0.193101	−	0.846032i
$850$	−1.17981	−	50.3557i	−0.0404672	−	1.72718i
$851$		−	5.78755i		−	0.198395i
$852$	7.49339	−	2.08394i	0.256719	−	0.0713947i
$853$	40.2729	−	32.1165i	1.37892	−	1.09965i	0.395465	−	0.918481i	$-0.370583\pi$
$853$	40.2729	−	32.1165i	1.37892	−	1.09965i	0.983452	−	0.181168i	$-0.0579879\pi$
$854$	−13.1116	−	8.95002i	−0.448671	−	0.306263i
$855$	2.96326	+	2.36312i	0.101341	+	0.0808171i
$856$	−26.2030	−	45.8628i	−0.895599	−	1.56756i
$857$	−12.4034	+	25.7559i	−0.423692	+	0.879806i	0.574430	+	0.818554i	$0.305224\pi$
$857$	−12.4034	+	25.7559i	−0.423692	+	0.879806i	−0.998122	+	0.0612525i	$0.980491\pi$
$858$	36.1018	−	18.4396i	1.23250	−	0.629519i
$859$	5.23668	−	6.56659i	0.178673	−	0.224049i	−0.684427	−	0.729081i	$-0.739948\pi$
$859$	5.23668	−	6.56659i	0.178673	−	0.224049i	0.863101	+	0.505032i	$0.168519\pi$
$860$	0.946748	+	0.402455i	0.0322838	+	0.0137236i
$861$	1.05193	+	20.6814i	0.0358495	+	0.704820i
$862$	0.845084	+	36.0691i	0.0287837	+	1.22852i
$863$			5.56570i			0.189459i	0.995503	+	0.0947293i	$0.0301986\pi$
$863$			5.56570i			0.189459i	−0.995503	+	0.0947293i	$0.969801\pi$
$864$	−0.605665	+	5.62434i	−0.0206051	+	0.191344i
$865$	6.24004	+	7.82476i	0.212168	+	0.266050i
$866$	17.7923	−	39.2736i	0.604606	−	1.33457i
$867$	39.1739	+	18.8652i	1.33042	+	0.640694i
$868$	22.5710	−	2.21156i	0.766111	−	0.0750651i
$869$	13.6390	−	6.56822i	0.462673	−	0.222812i
$870$	−0.150027	−	6.40333i	−0.00508640	−	0.217093i
$871$	54.2881	−	26.1438i	1.83948	−	0.885848i
$872$	5.57397	−	35.8788i	0.188759	−	1.21501i
$873$	1.12343	−	2.33282i	0.0380222	−	0.0789539i
$874$	−16.6844	+	13.9570i	−0.564357	+	0.472103i
$875$	−16.1828	−	2.83756i	−0.547078	−	0.0959271i
$876$	6.39166	+	11.8218i	0.215954	+	0.399422i
$877$	−9.90402	+	43.3923i	−0.334435	+	1.46526i	0.476010	+	0.879440i	$0.342083\pi$
$877$	−9.90402	+	43.3923i	−0.334435	+	1.46526i	−0.810445	+	0.585815i	$0.800774\pi$
$878$	−3.70344	−	14.6366i	−0.124985	−	0.493962i
$879$	17.1520	+	3.91483i	0.578522	+	0.132044i
$880$	8.19007	−	12.5144i	0.276087	−	0.421861i
$881$			48.1821i			1.62330i	0.584146	+	0.811648i	$0.301429\pi$
$881$			48.1821i			1.62330i	−0.584146	+	0.811648i	$0.698571\pi$
$882$	−3.38953	−	9.30113i	−0.114131	−	0.313185i
$883$			45.2681i			1.52339i	0.647934	+	0.761696i	$0.275633\pi$
$883$			45.2681i			1.52339i	−0.647934	+	0.761696i	$0.724367\pi$
$884$	50.9696	+	58.1078i	1.71429	+	1.95438i
$885$	−3.45251	−	0.788013i	−0.116055	−	0.0264888i
$886$	16.6153	−	4.20410i	0.558201	−	0.141239i
$887$	11.6360	−	50.9808i	0.390700	−	1.71177i	−0.271499	−	0.962439i	$-0.587519\pi$
$887$	11.6360	−	50.9808i	0.390700	−	1.71177i	0.662199	−	0.749328i	$-0.269623\pi$
$888$	−0.955279	+	6.14898i	−0.0320571	+	0.206346i
$889$	17.9137	−	42.6097i	0.600805	−	1.42908i
$890$	4.10331	+	4.90514i	0.137543	+	0.164421i
$891$	2.50272	−	5.19695i	0.0838442	−	0.174104i
$892$	−0.708759	+	0.383202i	−0.0237310	+	0.0128306i
$893$	−2.19169	+	1.05546i	−0.0733420	+	0.0353197i
$894$	−11.2063	+	0.262560i	−0.374796	+	0.00878131i
$895$	−8.20117	+	3.94947i	−0.274135	+	0.132016i
$896$	23.5809	−	18.4375i	0.787783	−	0.615953i
$897$	−11.7782	−	5.67210i	−0.393264	−	0.189386i
$898$	−28.9595	−	13.1196i	−0.966390	−	0.437807i
$899$	−18.6708	−	23.4125i	−0.622708	−	0.780851i
$900$	−2.45419	−	8.82471i	−0.0818064	−	0.294157i
$901$		−	29.4089i		−	0.979753i
$902$	63.8302	−	1.49551i	2.12531	−	0.0497952i
$903$	−1.00582	−	1.84280i	−0.0334715	−	0.0613247i
$904$	31.0755	−	17.7545i	1.03356	−	0.590506i
$905$	4.97086	−	6.23327i	0.165237	−	0.207201i
$906$	−4.20690	−	8.23644i	−0.139765	−	0.273637i
$907$	23.2732	−	48.3272i	0.772773	−	1.60468i	−0.0234868	−	0.999724i	$-0.507477\pi$
$907$	23.2732	−	48.3272i	0.772773	−	1.60468i	0.796260	−	0.604955i	$-0.206809\pi$
$908$	−9.06295	−	3.85259i	−0.300765	−	0.127853i
$909$	10.6707	+	8.50958i	0.353924	+	0.282245i
$910$	10.4417	−	6.02077i	0.346138	−	0.199587i
$911$	15.4075	−	12.2871i	0.510475	−	0.407090i	−0.334092	−	0.942541i	$-0.608430\pi$
$911$	15.4075	−	12.2871i	0.510475	−	0.407090i	0.844567	+	0.535450i	$0.179858\pi$
$912$	20.0300	−	12.0748i	0.663260	−	0.399835i
$913$			34.9076i			1.15527i
$914$	9.27329	−	0.217269i	0.306733	−	0.00718663i
$915$	−0.611991	−	2.68131i	−0.0202318	−	0.0886413i
$916$	7.86729	+	1.41169i	0.259943	+	0.0466437i
$917$	−12.1911	−	13.7877i	−0.402587	−	0.455311i
$918$	10.7768	+	2.19550i	0.355687	+	0.0724622i
$919$	18.8400	−	15.0244i	0.621475	−	0.495610i	−0.261392	−	0.965233i	$-0.584182\pi$
$919$	18.8400	−	15.0244i	0.621475	−	0.495610i	0.882867	+	0.469623i	$0.155610\pi$
$920$	−4.81119	+	0.338668i	−0.158620	+	0.0111656i
$921$	−0.138277	−	0.605830i	−0.00455638	−	0.0199628i
$922$	10.7514	+	21.0496i	0.354080	+	0.693232i
$923$	4.30040	−	18.8413i	0.141549	−	0.620168i
$924$	−28.9529	+	9.66125i	−0.952482	+	0.317832i
$925$	−2.24210	−	9.82329i	−0.0737198	−	0.322988i
$926$	−10.1800	+	8.51595i	−0.334537	+	0.279851i
$927$	−7.93767	+	9.95353i	−0.260707	+	0.326917i
$928$	−37.3700	−	12.8700i	−1.22673	−	0.422480i
$929$	6.41910	+	13.3294i	0.210604	+	0.437323i	0.979334	−	0.202250i	$-0.0648253\pi$
$929$	6.41910	+	13.3294i	0.210604	+	0.437323i	−0.768730	+	0.639573i	$0.779111\pi$
$930$	3.12838	+	2.37709i	0.102584	+	0.0779477i
$931$	−22.1404	+	34.4238i	−0.725621	+	1.12819i
$932$	−8.34031	−	29.9898i	−0.273196	−	0.982350i
$933$	15.7263	−	7.57340i	0.514857	−	0.247942i
$934$	−11.9657	−	14.3039i	−0.391530	−	0.468039i
$935$	−22.7342	−	18.1299i	−0.743488	−	0.592912i
$936$	11.5776	+	7.97041i	0.378425	+	0.260521i
$937$	−27.1348	+	6.19334i	−0.886455	+	0.202328i	−0.641423	−	0.767187i	$-0.721656\pi$
$937$	−27.1348	+	6.19334i	−0.886455	+	0.202328i	−0.245032	+	0.969515i	$0.578799\pi$
$938$	−43.3595	+	13.3483i	−1.41574	+	0.435837i
$939$	18.4563	+	4.21252i	0.602298	+	0.137471i
$940$	−0.530892	−	0.0952624i	−0.0173158	−	0.00310712i
$941$	25.4484	−	5.80842i	0.829593	−	0.189349i	0.213421	−	0.976960i	$-0.431540\pi$
$941$	25.4484	−	5.80842i	0.829593	−	0.189349i	0.616173	+	0.787611i	$0.288682\pi$
$942$	27.9938	+	5.70302i	0.912088	+	0.185815i
$943$	−12.8375	−	16.0977i	−0.418045	−	0.524212i
$944$	−11.9665	+	18.2848i	−0.389475	+	0.595118i
$945$	0.664671	−	1.58099i	0.0216218	−	0.0514298i
$946$	−5.76459	+	2.94436i	−0.187423	+	0.0957295i
$947$	20.0538	−	4.57716i	0.651662	−	0.148738i	0.116106	−	0.993237i	$-0.462959\pi$
$947$	20.0538	−	4.57716i	0.651662	−	0.148738i	0.535557	+	0.844499i	$0.320102\pi$
$948$	4.25249	+	3.07683i	0.138115	+	0.0999309i
$949$	33.3927			1.08397
$950$	−22.9116	+	30.1530i	−0.743352	+	0.978292i
$951$	9.73163	+	12.2031i	0.315570	+	0.395712i
$952$	−31.3997	−	48.9992i	−1.01767	−	1.58807i
$953$	1.24754	−	1.56437i	0.0404118	−	0.0506748i	−0.761215	−	0.648500i	$-0.775397\pi$
$953$	1.24754	−	1.56437i	0.0404118	−	0.0506748i	0.801627	+	0.597825i	$0.203968\pi$
$954$	−1.31183	−	5.18458i	−0.0424722	−	0.167857i
$955$	4.76602	+	2.29520i	0.154225	+	0.0742708i
$956$	−26.0800	−	4.67976i	−0.843488	−	0.151354i
$957$	31.5093	+	25.1278i	1.01855	+	0.812268i
$958$	2.87764	+	11.3729i	0.0929723	+	0.367441i
$959$	0.670468	+	0.758275i	0.0216505	+	0.0244860i
$960$	5.16755	+	0.434305i	0.166782	+	0.0140171i
$961$	−12.6306			−0.407439
$962$	12.3111	+	9.35458i	0.396927	+	0.301604i
$963$	−14.6006	+	11.6436i	−0.470496	+	0.375208i
$964$	−14.5708	−	26.9497i	−0.469294	−	0.867990i
$965$	2.91821	−	6.05973i	0.0939406	−	0.195070i
$966$	8.12948	+	5.54920i	0.261562	+	0.178543i
$967$	−14.8646	−	30.8668i	−0.478015	−	0.992608i	−0.990956	−	0.134184i	$-0.957159\pi$
$967$	−14.8646	−	30.8668i	−0.478015	−	0.992608i	0.512942	−	0.858424i	$-0.328556\pi$
$968$	18.2954	+	60.2791i	0.588037	+	1.93744i
$969$	−19.7293	−	40.9684i	−0.633798	−	1.31609i
$970$	−2.16208	−	0.979495i	−0.0694203	−	0.0314497i
$971$	13.6801	+	6.58799i	0.439015	+	0.211419i	0.640317	−	0.768111i	$-0.278803\pi$
$971$	13.6801	+	6.58799i	0.439015	+	0.211419i	−0.201302	+	0.979529i	$0.564517\pi$
$972$	1.99781	−	0.0936669i	0.0640796	−	0.00300437i
$973$	0.858827	+	3.04133i	0.0275327	+	0.0975007i
$974$	6.65018	−	14.6792i	0.213086	−	0.470353i
$975$	−22.1887	−	5.06444i	−0.710609	−	0.162192i
$976$	−16.8264	−	2.21179i	−0.538600	−	0.0707977i
$977$	−4.15982	+	18.2253i	−0.133084	+	0.583080i	0.863774	+	0.503879i	$0.168094\pi$
$977$	−4.15982	+	18.2253i	−0.133084	+	0.583080i	−0.996859	+	0.0792016i	$0.974763\pi$
$978$	−21.7603	−	4.43311i	−0.695819	−	0.141755i
$979$	−40.2392			−1.28605
$980$	−8.45144	+	3.30613i	−0.269971	+	0.105610i
$981$	−12.8372			−0.409861
$982$	6.84343	+	1.39417i	0.218383	+	0.0444899i
$983$	4.61717	−	20.2291i	0.147265	−	0.645210i	−0.846373	−	0.532590i	$-0.821219\pi$
$983$	4.61717	−	20.2291i	0.147265	−	0.645210i	0.993638	−	0.112620i	$-0.0359241\pi$
$984$	10.9821	+	19.2219i	0.350097	+	0.612771i
$985$	2.61548	+	0.596966i	0.0833361	+	0.0190209i
$986$	−31.7103	+	69.9956i	−1.00986	+	2.22911i
$987$	0.729128	+	0.824618i	0.0232084	+	0.0262479i
$988$	−2.72166	−	58.0497i	−0.0865874	−	1.84681i
$989$	1.88070	+	0.905697i	0.0598028	+	0.0287995i
$990$	−4.81659	−	2.18208i	−0.153081	−	0.0693510i
$991$	19.1620	+	39.7903i	0.608702	+	1.26398i	0.946482	+	0.322757i	$0.104610\pi$
$991$	19.1620	+	39.7903i	0.608702	+	1.26398i	−0.337780	+	0.941225i	$0.609676\pi$
$992$	20.4650	−	13.0001i	0.649766	−	0.412754i
$993$	−1.44375	−	2.99797i	−0.0458159	−	0.0951377i
$994$	−5.32355	+	13.5421i	−0.168853	+	0.429528i
$995$	2.93121	−	6.08672i	0.0929256	−	0.192962i
$996$	−10.6470	+	5.75647i	−0.337362	+	0.182401i
$997$	−22.7515	+	18.1437i	−0.720547	+	0.574617i	−0.913621	−	0.406567i	$-0.866726\pi$
$997$	−22.7515	+	18.1437i	−0.720547	+	0.574617i	0.193074	+	0.981184i	$0.438154\pi$
$998$	29.9688	+	22.7717i	0.948647	+	0.720826i
$999$	2.20007			0.0696072

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.a.223.12	✓	168
4.3	odd	2		588.2.x.b.223.4	yes	168
49.20	odd	14		588.2.x.b.559.4	yes	168
196.167	even	14	inner	588.2.x.a.559.12	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.223.12	✓	168	1.1	even	1	trivial
588.2.x.a.559.12	yes	168	196.167	even	14	inner
588.2.x.b.223.4	yes	168	4.3	odd	2
588.2.x.b.559.4	yes	168	49.20	odd	14

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:	\( N \)	\(=\)	\( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	588.x (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.282311 + 1.38575i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(-1.84060 - 0.782424i) q^{4} +(0.631969 + 0.144243i) q^{5} +(-1.28819 - 0.583591i) q^{6} +(2.32235 - 1.26755i) q^{7} +(1.60387 - 2.32972i) q^{8} +(-0.900969 - 0.433884i) q^{9} +O(q^{10})\)	\(q+(-0.282311 + 1.38575i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(-1.84060 - 0.782424i) q^{4} +(0.631969 + 0.144243i) q^{5} +(-1.28819 - 0.583591i) q^{6} +(2.32235 - 1.26755i) q^{7} +(1.60387 - 2.32972i) q^{8} +(-0.900969 - 0.433884i) q^{9} +(-0.378296 + 0.835029i) q^{10} +(-2.50272 - 5.19695i) q^{11} +(1.17238 - 1.62035i) q^{12} +(-2.15619 - 4.47737i) q^{13} +(1.10089 + 3.57604i) q^{14} +(-0.281252 + 0.584027i) q^{15} +(2.77562 + 2.88026i) q^{16} +(6.08020 - 4.84880i) q^{17} +(0.855607 - 1.12603i) q^{18} -5.84701 q^{19} +(-1.05034 - 0.759961i) q^{20} +(0.719004 + 2.54618i) q^{21} +(7.90821 - 2.00098i) q^{22} +(-2.05670 - 1.64016i) q^{23} +(1.91442 + 2.08207i) q^{24} +(-4.12627 - 1.98711i) q^{25} +(6.81322 - 1.72392i) q^{26} +(0.623490 - 0.781831i) q^{27} +(-5.26628 + 0.516001i) q^{28} +(4.35629 + 5.46261i) q^{29} +(-0.729914 - 0.554622i) q^{30} -4.28595 q^{31} +(-4.77491 + 3.03319i) q^{32} +(5.62356 - 1.28354i) q^{33} +(5.00271 + 9.79451i) q^{34} +(1.65049 - 0.466073i) q^{35} +(1.31884 + 1.50355i) q^{36} +(1.37172 + 1.72009i) q^{37} +(1.65068 - 8.10249i) q^{38} +(4.84491 - 1.10582i) q^{39} +(1.34964 - 1.24097i) q^{40} +(7.63070 + 1.74166i) q^{41} +(-3.73135 + 0.277544i) q^{42} +(-0.773614 + 0.176572i) q^{43} +(0.540287 + 11.5237i) q^{44} +(-0.506799 - 0.404159i) q^{45} +(2.85348 - 2.38703i) q^{46} +(0.374839 - 0.180513i) q^{47} +(-3.42568 + 2.06512i) q^{48} +(3.78661 - 5.88741i) q^{49} +(3.91852 - 5.15699i) q^{50} +(3.37426 + 7.00672i) q^{51} +(0.465478 + 9.92810i) q^{52} +(2.35778 - 2.95656i) q^{53} +(0.907404 + 1.08472i) q^{54} +(-0.832018 - 3.64531i) q^{55} +(0.771682 - 7.44342i) q^{56} +(1.30108 - 5.70042i) q^{57} +(-8.79964 + 4.49457i) q^{58} +(1.21566 + 5.32614i) q^{59} +(0.974630 - 0.854901i) q^{60} +(-3.31715 + 2.64534i) q^{61} +(1.20997 - 5.93926i) q^{62} +(-2.64234 + 0.134398i) q^{63} +(-2.85523 - 7.47313i) q^{64} +(-0.716814 - 3.14057i) q^{65} +(0.191073 + 8.15520i) q^{66} +12.1250i q^{67} +(-14.9850 + 4.16741i) q^{68} +(2.05670 - 1.64016i) q^{69} +(0.179910 + 2.41874i) q^{70} +(3.04045 + 2.42468i) q^{71} +(-2.45586 + 1.40312i) q^{72} +(-2.91550 + 6.05409i) q^{73} +(-2.77086 + 1.41526i) q^{74} +(2.85546 - 3.58064i) q^{75} +(10.7620 + 4.57485i) q^{76} +(-12.3996 - 8.89680i) q^{77} +(0.164616 + 7.02601i) q^{78} +2.62443i q^{79} +(1.33865 + 2.22060i) q^{80} +(0.623490 + 0.781831i) q^{81} +(-4.56773 + 10.0825i) q^{82} +(-5.45244 - 2.62576i) q^{83} +(0.668795 - 5.24907i) q^{84} +(4.54190 - 2.18726i) q^{85} +(-0.0262853 - 1.12188i) q^{86} +(-6.29502 + 3.03152i) q^{87} +(-16.1215 - 2.50456i) q^{88} +(3.02680 - 6.28522i) q^{89} +(0.703138 - 0.588198i) q^{90} +(-10.6827 - 7.66492i) q^{91} +(2.50226 + 4.62810i) q^{92} +(0.953714 - 4.17850i) q^{93} +(0.144324 + 0.570393i) q^{94} +(-3.69513 - 0.843389i) q^{95} +(-1.89462 - 5.33014i) q^{96} +2.58923i q^{97} +(7.08947 + 6.90937i) q^{98} +5.76818i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Introduction

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