LMFDB - Embedded newform 273.2.bz.b.31.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(31,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 2, 9]))

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

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

chi := DirichletCharacter("273.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.bz (of order $12$, degree $4$, 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:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$36$
Relative dimension:	$9$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			31.8
Character	$\chi$	$=$	273.31
Dual form			273.2.bz.b.229.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.93173 + 0.517606i) q^{2} +(0.866025 + 0.500000i) q^{3} +(1.73162 + 0.999754i) q^{4} +(-0.960415 + 3.58432i) q^{5} +(1.41413 + 1.41413i) q^{6} +(-0.534135 - 2.59127i) q^{7} +(-0.000695828 - 0.000695828i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})$	\(q+(1.93173 + 0.517606i) q^{2} +(0.866025 + 0.500000i) q^{3} +(1.73162 + 0.999754i) q^{4} +(-0.960415 + 3.58432i) q^{5} +(1.41413 + 1.41413i) q^{6} +(-0.534135 - 2.59127i) q^{7} +(-0.000695828 - 0.000695828i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-3.71053 + 6.42683i) q^{10} +(4.17027 - 1.11742i) q^{11} +(0.999754 + 1.73162i) q^{12} +(-3.27281 + 1.51284i) q^{13} +(0.309453 - 5.28212i) q^{14} +(-2.62390 + 2.62390i) q^{15} +(-2.00049 - 3.46495i) q^{16} +(3.45527 - 5.98470i) q^{17} +(0.517606 + 1.93173i) q^{18} +(-0.927848 + 3.46278i) q^{19} +(-5.24651 + 5.24651i) q^{20} +(0.833062 - 2.51118i) q^{21} +8.63423 q^{22} +(1.10014 - 0.635166i) q^{23} +(-0.000254691 - 0.000950519i) q^{24} +(-7.59481 - 4.38487i) q^{25} +(-7.10526 + 1.22837i) q^{26} +1.00000i q^{27} +(1.66571 - 5.02112i) q^{28} -4.58181 q^{29} +(-6.42683 + 3.71053i) q^{30} +(5.58556 - 1.49665i) q^{31} +(-2.07042 - 7.72693i) q^{32} +(4.17027 + 1.11742i) q^{33} +(9.77238 - 9.77238i) q^{34} +(9.80094 + 0.574188i) q^{35} +1.99951i q^{36} +(0.301730 - 1.12607i) q^{37} +(-3.58471 + 6.20890i) q^{38} +(-3.59076 - 0.326250i) q^{39} +(0.00316235 - 0.00182579i) q^{40} +(1.44082 + 1.44082i) q^{41} +(2.90905 - 4.41972i) q^{42} +2.89707i q^{43} +(8.33848 + 2.23429i) q^{44} +(-3.58432 + 0.960415i) q^{45} +(2.45394 - 0.657532i) q^{46} +(-10.8796 - 2.91518i) q^{47} -4.00098i q^{48} +(-6.42940 + 2.76818i) q^{49} +(-12.4015 - 12.4015i) q^{50} +(5.98470 - 3.45527i) q^{51} +(-7.17975 - 0.652340i) q^{52} +(0.492123 - 0.852382i) q^{53} +(-0.517606 + 1.93173i) q^{54} +16.0208i q^{55} +(-0.00143141 + 0.00217475i) q^{56} +(-2.53493 + 2.53493i) q^{57} +(-8.85084 - 2.37158i) q^{58} +(3.47528 + 12.9699i) q^{59} +(-7.16687 + 1.92036i) q^{60} +(-11.5658 + 6.67751i) q^{61} +11.5645 q^{62} +(1.97704 - 1.75821i) q^{63} -7.99606i q^{64} +(-2.27924 - 13.1838i) q^{65} +(7.47746 + 4.31711i) q^{66} +(0.841472 + 3.14042i) q^{67} +(11.9665 - 6.90884i) q^{68} +1.27033 q^{69} +(18.6356 + 6.18221i) q^{70} +(0.126450 - 0.126450i) q^{71} +(0.000254691 - 0.000950519i) q^{72} +(-1.61552 - 6.02919i) q^{73} +(1.16573 - 2.01910i) q^{74} +(-4.38487 - 7.59481i) q^{75} +(-5.06861 + 5.06861i) q^{76} +(-5.12303 - 10.2095i) q^{77} +(-6.76752 - 2.48883i) q^{78} +(-1.82586 - 3.16248i) q^{79} +(14.3408 - 3.84261i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(2.03750 + 3.52905i) q^{82} +(-2.62917 - 2.62917i) q^{83} +(3.95311 - 3.51556i) q^{84} +(18.1326 + 18.1326i) q^{85} +(-1.49954 + 5.59637i) q^{86} +(-3.96797 - 2.29091i) q^{87} +(-0.00367932 - 0.00212426i) q^{88} +(10.4136 + 2.79032i) q^{89} -7.42106 q^{90} +(5.66831 + 7.67270i) q^{91} +2.54004 q^{92} +(5.58556 + 1.49665i) q^{93} +(-19.5075 - 11.2627i) q^{94} +(-11.5206 - 6.65141i) q^{95} +(2.07042 - 7.72693i) q^{96} +(3.18768 + 3.18768i) q^{97} +(-13.8527 + 2.01949i) q^{98} +(3.05285 + 3.05285i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 36 q + 4 q^{7} + 18 q^{9}+O(q^{10}) $ 36 * q + 4 * q^7 + 18 * q^9	$ 36 q + 4 q^{7} + 18 q^{9} + 4 q^{11} + 16 q^{12} - 36 q^{14} + 12 q^{16} - 4 q^{17} - 12 q^{19} - 44 q^{20} + 6 q^{21} - 8 q^{22} + 12 q^{23} - 18 q^{24} + 48 q^{25} - 28 q^{26} + 12 q^{28} - 16 q^{29} - 56 q^{32} + 4 q^{33} + 48 q^{34} + 8 q^{35} + 22 q^{37} - 16 q^{38} - 8 q^{39} + 60 q^{40} + 32 q^{41} + 12 q^{42} + 4 q^{44} - 44 q^{46} - 14 q^{47} - 6 q^{49} - 68 q^{50} + 12 q^{51} - 82 q^{52} - 8 q^{53} + 8 q^{56} - 6 q^{57} - 84 q^{58} + 70 q^{59} + 2 q^{60} + 36 q^{61} - 48 q^{62} + 2 q^{63} - 8 q^{65} + 38 q^{67} + 36 q^{68} + 8 q^{69} - 40 q^{70} - 36 q^{71} + 18 q^{72} - 46 q^{73} + 40 q^{74} - 10 q^{75} + 60 q^{76} - 60 q^{77} + 32 q^{78} - 38 q^{80} - 18 q^{81} - 24 q^{83} + 38 q^{84} + 44 q^{85} - 24 q^{86} + 36 q^{87} - 168 q^{88} + 38 q^{89} - 14 q^{91} - 40 q^{92} + 56 q^{96} - 36 q^{97} + 58 q^{98} + 8 q^{99}+O(q^{100}) $ 36 * q + 4 * q^7 + 18 * q^9 + 4 * q^11 + 16 * q^12 - 36 * q^14 + 12 * q^16 - 4 * q^17 - 12 * q^19 - 44 * q^20 + 6 * q^21 - 8 * q^22 + 12 * q^23 - 18 * q^24 + 48 * q^25 - 28 * q^26 + 12 * q^28 - 16 * q^29 - 56 * q^32 + 4 * q^33 + 48 * q^34 + 8 * q^35 + 22 * q^37 - 16 * q^38 - 8 * q^39 + 60 * q^40 + 32 * q^41 + 12 * q^42 + 4 * q^44 - 44 * q^46 - 14 * q^47 - 6 * q^49 - 68 * q^50 + 12 * q^51 - 82 * q^52 - 8 * q^53 + 8 * q^56 - 6 * q^57 - 84 * q^58 + 70 * q^59 + 2 * q^60 + 36 * q^61 - 48 * q^62 + 2 * q^63 - 8 * q^65 + 38 * q^67 + 36 * q^68 + 8 * q^69 - 40 * q^70 - 36 * q^71 + 18 * q^72 - 46 * q^73 + 40 * q^74 - 10 * q^75 + 60 * q^76 - 60 * q^77 + 32 * q^78 - 38 * q^80 - 18 * q^81 - 24 * q^83 + 38 * q^84 + 44 * q^85 - 24 * q^86 + 36 * q^87 - 168 * q^88 + 38 * q^89 - 14 * q^91 - 40 * q^92 + 56 * q^96 - 36 * q^97 + 58 * q^98 + 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	1.93173	+	0.517606i	1.36594	+	0.366003i	0.865995	−	0.500053i	$-0.166686\pi$
$2$	1.93173	+	0.517606i	1.36594	+	0.366003i	0.499947	+	0.866056i	$0.333353\pi$
$3$	0.866025	+	0.500000i	0.500000	+	0.288675i
$3$	0.866025	+	0.500000i	0.500000	+	0.288675i
$4$	1.73162	+	0.999754i	0.865812	+	0.499877i
$5$	−0.960415	+	3.58432i	−0.429511	+	1.60296i	0.324361	+	0.945934i	$0.394851\pi$
$5$	−0.960415	+	3.58432i	−0.429511	+	1.60296i	−0.753871	+	0.657022i	$0.771816\pi$
$6$	1.41413	+	1.41413i	0.577315	+	0.577315i
$7$	−0.534135	−	2.59127i	−0.201884	−	0.979409i
$7$	−0.534135	−	2.59127i	−0.201884	−	0.979409i
$8$	−0.000695828	0	0.000695828i	−0.000246012	0	0.000246012i
$9$	0.500000	+	0.866025i	0.166667	+	0.288675i
$10$	−3.71053	+	6.42683i	−1.17337	+	2.03234i
$11$	4.17027	−	1.11742i	1.25738	−	0.336915i	0.432199	−	0.901778i	$-0.357738\pi$
$11$	4.17027	−	1.11742i	1.25738	−	0.336915i	0.825184	+	0.564864i	$0.191071\pi$
$12$	0.999754	+	1.73162i	0.288604	+	0.499877i
$13$	−3.27281	+	1.51284i	−0.907716	+	0.419586i
$13$	−3.27281	+	1.51284i	−0.907716	+	0.419586i
$14$	0.309453	−	5.28212i	0.0827047	−	1.41171i
$15$	−2.62390	+	2.62390i	−0.677489	+	0.677489i
$16$	−2.00049	−	3.46495i	−0.500123	−	0.866238i
$17$	3.45527	−	5.98470i	0.838026	−	1.45150i	−0.0535164	−	0.998567i	$-0.517043\pi$
$17$	3.45527	−	5.98470i	0.838026	−	1.45150i	0.891543	−	0.452937i	$-0.149624\pi$
$18$	0.517606	+	1.93173i	0.122001	+	0.455314i
$19$	−0.927848	+	3.46278i	−0.212863	+	0.794416i	0.774045	+	0.633131i	$0.218230\pi$
$19$	−0.927848	+	3.46278i	−0.212863	+	0.794416i	−0.986908	+	0.161285i	$0.948436\pi$
$20$	−5.24651	+	5.24651i	−1.17316	+	1.17316i
$21$	0.833062	−	2.51118i	0.181789	−	0.547984i
$22$	8.63423			1.84082
$23$	1.10014	−	0.635166i	0.229395	−	0.132441i	−0.380898	−	0.924617i	$-0.624385\pi$
$23$	1.10014	−	0.635166i	0.229395	−	0.132441i	0.610293	+	0.792176i	$0.291052\pi$
$24$	−0.000254691	0	0.000950519i	−5.19885e−5	0	0.000194024i
$25$	−7.59481	−	4.38487i	−1.51896	−	0.876973i
$26$	−7.10526	+	1.22837i	−1.39346	+	0.240904i
$27$			1.00000i			0.192450i
$28$	1.66571	−	5.02112i	0.314790	−	0.948902i
$29$	−4.58181			−0.850821			−0.425411	−	0.905000i	$-0.639870\pi$
$29$	−4.58181			−0.850821			−0.425411	+	0.905000i	$0.639870\pi$
$30$	−6.42683	+	3.71053i	−1.17337	+	0.677447i
$31$	5.58556	−	1.49665i	1.00320	−	0.268806i	0.280412	−	0.959880i	$-0.409529\pi$
$31$	5.58556	−	1.49665i	1.00320	−	0.268806i	0.722784	+	0.691074i	$0.242862\pi$
$32$	−2.07042	−	7.72693i	−0.366003	−	1.36594i
$33$	4.17027	+	1.11742i	0.725950	+	0.194518i
$34$	9.77238	−	9.77238i	1.67595	−	1.67595i
$35$	9.80094	+	0.574188i	1.65666	+	0.0970554i
$36$			1.99951i			0.333251i
$37$	0.301730	−	1.12607i	0.0496042	−	0.185125i	−0.936678	−	0.350191i	$-0.886117\pi$
$37$	0.301730	−	1.12607i	0.0496042	−	0.185125i	0.986283	+	0.165065i	$0.0527835\pi$
$38$	−3.58471	+	6.20890i	−0.581517	+	1.00722i
$39$	−3.59076	−	0.326250i	−0.574982	−	0.0522419i
$40$	0.00316235	−	0.00182579i	0.000500012	−	0.000288682i
$41$	1.44082	+	1.44082i	0.225018	+	0.225018i	0.810607	−	0.585590i	$-0.199137\pi$
$41$	1.44082	+	1.44082i	0.225018	+	0.225018i	−0.585590	+	0.810607i	$0.699137\pi$
$42$	2.90905	−	4.41972i	0.448877	−	0.681978i
$43$			2.89707i			0.441799i	0.975297	+	0.220900i	$0.0708994\pi$
$43$			2.89707i			0.441799i	−0.975297	+	0.220900i	$0.929101\pi$
$44$	8.33848	+	2.23429i	1.25707	+	0.336832i
$45$	−3.58432	+	0.960415i	−0.534319	+	0.143170i
$46$	2.45394	−	0.657532i	0.361814	−	0.0969478i
$47$	−10.8796	−	2.91518i	−1.58695	−	0.425222i	−0.645882	−	0.763438i	$-0.723510\pi$
$47$	−10.8796	−	2.91518i	−1.58695	−	0.425222i	−0.941069	+	0.338215i	$0.890177\pi$
$48$		−	4.00098i		−	0.577492i
$49$	−6.42940	+	2.76818i	−0.918486	+	0.395454i
$50$	−12.4015	−	12.4015i	−1.75384	−	1.75384i
$51$	5.98470	−	3.45527i	0.838026	−	0.483835i
$52$	−7.17975	−	0.652340i	−0.995653	−	0.0904633i
$53$	0.492123	−	0.852382i	0.0675983	−	0.117084i	−0.830245	−	0.557398i	$-0.811800\pi$
$53$	0.492123	−	0.852382i	0.0675983	−	0.117084i	0.897844	+	0.440314i	$0.145133\pi$
$54$	−0.517606	+	1.93173i	−0.0704373	+	0.262876i
$55$			16.0208i			2.16024i
$56$	−0.00143141	+	0.00217475i	−0.000191281	+	0.000290613i
$57$	−2.53493	+	2.53493i	−0.335760	+	0.335760i
$58$	−8.85084	−	2.37158i	−1.16217	−	0.311403i
$59$	3.47528	+	12.9699i	0.452442	+	1.68854i	0.695500	+	0.718526i	$0.255183\pi$
$59$	3.47528	+	12.9699i	0.452442	+	1.68854i	−0.243058	+	0.970012i	$0.578151\pi$
$60$	−7.16687	+	1.92036i	−0.925239	+	0.247917i
$61$	−11.5658	+	6.67751i	−1.48085	+	0.854968i	−0.999764	−	0.0217069i	$-0.993090\pi$
$61$	−11.5658	+	6.67751i	−1.48085	+	0.854968i	−0.481083	+	0.876675i	$0.659757\pi$
$62$	11.5645			1.46869
$63$	1.97704	−	1.75821i	0.249084	−	0.221514i
$64$		−	7.99606i		−	0.999508i
$65$	−2.27924	−	13.1838i	−0.282704	−	1.63524i
$66$	7.47746	+	4.31711i	0.920412	+	0.531400i
$67$	0.841472	+	3.14042i	0.102802	+	0.383663i	0.998087	−	0.0618320i	$-0.0196943\pi$
$67$	0.841472	+	3.14042i	0.102802	+	0.383663i	−0.895284	+	0.445495i	$0.853028\pi$
$68$	11.9665	−	6.90884i	1.45115	−	0.837820i
$69$	1.27033			0.152930
$70$	18.6356	+	6.18221i	2.22738	+	0.738915i
$71$	0.126450	−	0.126450i	0.0150069	−	0.0150069i	−0.699564	−	0.714570i	$-0.746622\pi$
$71$	0.126450	−	0.126450i	0.0150069	−	0.0150069i	0.714570	+	0.699564i	$0.246622\pi$
$72$	0.000254691	0	0.000950519i	3.00156e−5	0	0.000112020i
$73$	−1.61552	−	6.02919i	−0.189082	−	0.705663i	−0.993720	−	0.111897i	$-0.964307\pi$
$73$	−1.61552	−	6.02919i	−0.189082	−	0.705663i	0.804638	−	0.593766i	$-0.202359\pi$
$74$	1.16573	−	2.01910i	0.135513	−	0.234715i
$75$	−4.38487	−	7.59481i	−0.506321	−	0.876973i
$76$	−5.06861	+	5.06861i	−0.581410	+	0.581410i
$77$	−5.12303	−	10.2095i	−0.583823	−	1.16348i
$78$	−6.76752	−	2.48883i	−0.766271	−	0.281804i
$79$	−1.82586	−	3.16248i	−0.205425	−	0.355807i	0.744843	−	0.667240i	$-0.232524\pi$
$79$	−1.82586	−	3.16248i	−0.205425	−	0.355807i	−0.950268	+	0.311433i	$0.899191\pi$
$80$	14.3408	−	3.84261i	1.60335	−	0.429616i
$81$	−0.500000	+	0.866025i	−0.0555556	+	0.0962250i
$82$	2.03750	+	3.52905i	0.225004	+	0.389718i
$83$	−2.62917	−	2.62917i	−0.288589	−	0.288589i	0.547933	−	0.836522i	$-0.315415\pi$
$83$	−2.62917	−	2.62917i	−0.288589	−	0.288589i	−0.836522	+	0.547933i	$0.815415\pi$
$84$	3.95311	−	3.51556i	0.431320	−	0.383579i
$85$	18.1326	+	18.1326i	1.96676	+	1.96676i
$86$	−1.49954	+	5.59637i	−0.161700	+	0.603472i
$87$	−3.96797	−	2.29091i	−0.425411	−	0.245611i
$88$	−0.00367932	−	0.00212426i	−0.000392217	−	0.000226447i
$89$	10.4136	+	2.79032i	1.10384	+	0.295773i	0.764327	−	0.644829i	$-0.223071\pi$
$89$	10.4136	+	2.79032i	1.10384	+	0.295773i	0.339512	+	0.940602i	$0.389738\pi$
$90$	−7.42106			−0.782249
$91$	5.66831	+	7.67270i	0.594200	+	0.804317i
$92$	2.54004			0.264817
$93$	5.58556	+	1.49665i	0.579195	+	0.155195i
$94$	−19.5075	−	11.2627i	−2.01205	−	1.16166i
$95$	−11.5206	−	6.65141i	−1.18199	−	0.682420i
$96$	2.07042	−	7.72693i	0.211312	−	0.788627i
$97$	3.18768	+	3.18768i	0.323660	+	0.323660i	0.850169	−	0.526509i	$-0.176499\pi$
$97$	3.18768	+	3.18768i	0.323660	+	0.323660i	−0.526509	+	0.850169i	$0.676499\pi$
$98$	−13.8527	+	2.01949i	−1.39933	+	0.203999i
$99$	3.05285	+	3.05285i	0.306823	+	0.306823i
$100$	−8.76758	−	15.1859i	−0.876758	−	1.51859i
$101$	1.29993	−	2.25154i	0.129348	−	0.224037i	−0.794076	−	0.607818i	$-0.792045\pi$
$101$	1.29993	−	2.25154i	0.129348	−	0.224037i	0.923424	+	0.383781i	$0.125378\pi$
$102$	13.3493	−	3.57694i	1.32178	−	0.354170i
$103$	−2.18691	−	3.78784i	−0.215482	−	0.373226i	0.737939	−	0.674867i	$-0.235799\pi$
$103$	−2.18691	−	3.78784i	−0.215482	−	0.373226i	−0.953422	+	0.301641i	$0.902466\pi$
$104$	0.00332999	+	0.00122464i	0.000326533	+	0.000120086i
$105$	8.20077	+	5.39773i	0.800313	+	0.526765i
$106$	1.39185	−	1.39185i	0.135188	−	0.135188i
$107$	−2.57703	−	4.46355i	−0.249131	−	0.431508i	0.714154	−	0.699989i	$-0.246812\pi$
$107$	−2.57703	−	4.46355i	−0.249131	−	0.431508i	−0.963285	+	0.268481i	$0.913478\pi$
$108$	−0.999754	+	1.73162i	−0.0962014	+	0.166626i
$109$	2.27548	+	8.49221i	0.217952	+	0.813407i	0.985107	+	0.171945i	$0.0550051\pi$
$109$	2.27548	+	8.49221i	0.217952	+	0.813407i	−0.767155	+	0.641462i	$0.778328\pi$
$110$	−8.29244	+	30.9478i	−0.790653	+	2.95076i
$111$	0.824343	−	0.824343i	0.0782432	−	0.0782432i
$112$	−7.91011	+	7.03458i	−0.747435	+	0.664705i
$113$	10.8319			1.01898			0.509488	−	0.860478i	$-0.329835\pi$
$113$	10.8319			1.01898			0.509488	+	0.860478i	$0.329835\pi$
$114$	−6.20890	+	3.58471i	−0.581517	+	0.335739i
$115$	1.22005	+	4.55327i	0.113770	+	0.424595i
$116$	−7.93398	−	4.58069i	−0.736652	−	0.425306i
$117$	−2.94656	−	2.07792i	−0.272410	−	0.192104i
$118$			26.8532i			2.47204i
$119$	−17.3536	−	5.75691i	−1.59080	−	0.527735i
$120$	0.00365157			0.000333341
$121$	6.61623	−	3.81988i	0.601475	−	0.347262i
$122$	−25.7983	+	6.91264i	−2.33567	+	0.625841i
$123$	0.527375	+	1.96819i	0.0475518	+	0.177466i
$124$	11.1684	+	2.99256i	1.00295	+	0.268739i
$125$	9.89141	−	9.89141i	0.884715	−	0.884715i
$126$	4.72918	−	2.37307i	0.421309	−	0.211410i
$127$			9.59857i			0.851736i	0.904785	+	0.425868i	$0.140031\pi$
$127$			9.59857i			0.851736i	−0.904785	+	0.425868i	$0.859969\pi$
$128$	−0.00203753	+	0.00760415i	−0.000180094	+	0.000672118i
$129$	−1.44854	+	2.50894i	−0.127537	+	0.220900i
$130$	2.42112	−	26.6473i	0.212347	−	2.33712i
$131$	0.727733	−	0.420157i	0.0635824	−	0.0367093i	−0.467872	−	0.883796i	$-0.654979\pi$
$131$	0.727733	−	0.420157i	0.0635824	−	0.0367093i	0.531454	+	0.847087i	$0.321646\pi$
$132$	6.10419	+	6.10419i	0.531302	+	0.531302i
$133$	9.46860	+	0.554718i	0.821032	+	0.0481001i
$134$			6.50200i			0.561687i
$135$	−3.58432	−	0.960415i	−0.308489	−	0.0826594i
$136$	−0.00656860	+	0.00176005i	−0.000563253	+	0.000150923i
$137$	2.79564	−	0.749090i	0.238848	−	0.0639991i	−0.137409	−	0.990514i	$-0.543878\pi$
$137$	2.79564	−	0.749090i	0.238848	−	0.0639991i	0.376257	+	0.926515i	$0.377211\pi$
$138$	2.45394	+	0.657532i	0.208893	+	0.0559728i
$139$		−	7.01763i		−	0.595227i	−0.954686	−	0.297614i	$-0.903809\pi$
$139$		−	7.01763i		−	0.595227i	0.954686	−	0.297614i	$-0.0961907\pi$
$140$	16.3975	+	10.7928i	1.38584	+	0.912159i
$141$	−7.96441	−	7.96441i	−0.670724	−	0.670724i
$142$	0.309719	−	0.178816i	0.0259910	−	0.0150059i
$143$	−11.9580	+	9.96605i	−0.999981	+	0.833403i
$144$	2.00049	−	3.46495i	0.166708	−	0.288746i
$145$	4.40044	−	16.4227i	0.365437	−	1.36383i
$146$		−	12.4830i		−	1.03310i
$147$	−6.95211	−	0.817384i	−0.573401	−	0.0674167i
$148$	1.64828	−	1.64828i	0.135488	−	0.135488i
$149$	18.3263	+	4.91051i	1.50135	+	0.402285i	0.913551	−	0.406724i	$-0.133329\pi$
$149$	18.3263	+	4.91051i	1.50135	+	0.402285i	0.587796	+	0.809009i	$0.299996\pi$
$150$	−4.53927	−	16.9408i	−0.370630	−	1.38321i
$151$	−3.15751	+	0.846051i	−0.256954	+	0.0688507i	−0.384996	−	0.922918i	$-0.625797\pi$
$151$	−3.15751	+	0.846051i	−0.256954	+	0.0688507i	0.128042	+	0.991769i	$0.459131\pi$
$152$	0.00305512	−	0.00176387i	0.000247803	−	0.000143069i
$153$	6.91054			0.558684
$154$	−4.61185	−	22.3736i	−0.371633	−	1.80292i
$155$			21.4578i			1.72353i
$156$	−5.89168	−	4.15482i	−0.471712	−	0.332652i
$157$	−12.0326	−	6.94700i	−0.960303	−	0.554431i	−0.0640366	−	0.997948i	$-0.520397\pi$
$157$	−12.0326	−	6.94700i	−0.960303	−	0.554431i	−0.896266	+	0.443516i	$0.853731\pi$
$158$	−1.89015	−	7.05414i	−0.150372	−	0.561197i
$159$	0.852382	−	0.492123i	0.0675983	−	0.0390279i
$160$	29.6842			2.34675
$161$	−2.23351	−	2.51150i	−0.176025	−	0.197934i
$162$	−1.41413	+	1.41413i	−0.111104	+	0.111104i
$163$	−5.78112	+	21.5754i	−0.452812	+	1.68992i	0.241630	+	0.970368i	$0.422318\pi$
$163$	−5.78112	+	21.5754i	−0.452812	+	1.68992i	−0.694442	+	0.719549i	$0.744349\pi$
$164$	1.05449	+	3.93541i	0.0823419	+	0.307304i
$165$	−8.01038	+	13.8744i	−0.623607	+	1.08012i
$166$	−3.71797	−	6.43972i	−0.288571	−	0.499819i
$167$	9.96544	−	9.96544i	0.771149	−	0.771149i	−0.207158	−	0.978307i	$-0.566421\pi$
$167$	9.96544	−	9.96544i	0.771149	−	0.771149i	0.978307	+	0.207158i	$0.0664215\pi$
$168$	−0.00232701	+	0.00116768i	−0.000179533	+	9.00884e-5i
$169$	8.42264	−	9.90249i	0.647895	−	0.761730i
$170$	25.6418	+	44.4129i	1.96663	+	3.40631i
$171$	−3.46278	+	0.927848i	−0.264805	+	0.0709543i
$172$	−2.89636	+	5.01664i	−0.220845	+	0.382515i
$173$	6.72396	+	11.6462i	0.511213	+	0.885447i	0.999916	+	0.0129965i	$0.00413702\pi$
$173$	6.72396	+	11.6462i	0.511213	+	0.885447i	−0.488703	+	0.872450i	$0.662530\pi$
$174$	−6.47926	−	6.47926i	−0.491192	−	0.491192i
$175$	−7.30573	+	22.0223i	−0.552261	+	1.66473i
$176$	−12.2144	−	12.2144i	−0.920695	−	0.920695i
$177$	−3.47528	+	12.9699i	−0.261218	+	0.974878i
$178$	18.6720	+	10.7803i	1.39953	+	0.808017i
$179$	0.996729	+	0.575462i	0.0744990	+	0.0430120i	0.536787	−	0.843718i	$-0.319638\pi$
$179$	0.996729	+	0.575462i	0.0744990	+	0.0430120i	−0.462288	+	0.886730i	$0.652971\pi$
$180$	−7.16687	−	1.92036i	−0.534187	−	0.143135i
$181$	−15.8647			−1.17921			−0.589607	−	0.807690i	$-0.700717\pi$
$181$	−15.8647			−1.17921			−0.589607	+	0.807690i	$0.700717\pi$
$182$	6.97822	+	17.7556i	0.517260	+	1.31613i
$183$	−13.3550			−0.987232
$184$	−0.00120747		0.000323542i	−8.90162e−5		2.38518e-5i
$185$	3.74642	+	2.16300i	0.275442	+	0.159027i
$186$	10.0151	+	5.78224i	0.734345	+	0.423974i
$187$	7.72198	−	28.8188i	0.564687	−	2.10744i
$188$	−15.9249	−	15.9249i	−1.16144	−	1.16144i
$189$	2.59127	−	0.534135i	0.188487	−	0.0388526i
$190$	−18.8119	−	18.8119i	−1.36476	−	1.36476i
$191$	2.05323	+	3.55630i	0.148566	+	0.257325i	0.930698	−	0.365789i	$-0.119201\pi$
$191$	2.05323	+	3.55630i	0.148566	+	0.257325i	−0.782131	+	0.623114i	$0.785867\pi$
$192$	3.99803	−	6.92479i	0.288533	−	0.499754i
$193$	−3.76229	+	1.00810i	−0.270816	+	0.0725649i	−0.391671	−	0.920105i	$-0.628103\pi$
$193$	−3.76229	+	1.00810i	−0.270816	+	0.0725649i	0.120855	+	0.992670i	$0.461436\pi$
$194$	4.50779	+	7.80771i	0.323640	+	0.560561i
$195$	4.61801	−	12.5571i	0.330702	−	0.899232i
$196$	−13.9008	−	1.63437i	−0.992915	−	0.116740i
$197$	12.1256	−	12.1256i	0.863910	−	0.863910i	−0.127880	−	0.991790i	$-0.540817\pi$
$197$	12.1256	−	12.1256i	0.863910	−	0.863910i	0.991790	+	0.127880i	$0.0408171\pi$
$198$	4.31711	+	7.47746i	0.306804	+	0.531400i
$199$	5.59112	−	9.68410i	0.396344	−	0.686488i	−0.596928	−	0.802295i	$-0.703612\pi$
$199$	5.59112	−	9.68410i	0.396344	−	0.686488i	0.993272	+	0.115807i	$0.0369455\pi$
$200$	0.00223357	+	0.00833580i	0.000157937	+	0.000589430i
$201$	−0.841472	+	3.14042i	−0.0593529	+	0.221508i
$202$	3.67653	−	3.67653i	0.258679	−	0.258679i
$203$	2.44731	+	11.8727i	0.171767	+	0.833302i
$204$	13.8177			0.967431
$205$	−6.54812	+	3.78056i	−0.457341	+	0.264046i
$206$	−2.26391	−	8.44904i	−0.157734	−	0.588673i
$207$	1.10014	+	0.635166i	0.0764650	+	0.0441471i
$208$	11.7892	+	8.31373i	0.817431	+	0.576453i
$209$			15.4775i			1.07060i
$210$	13.0478	+	14.6717i	0.900384	+	1.01245i
$211$	−5.02090			−0.345653			−0.172827	−	0.984952i	$-0.555290\pi$
$211$	−5.02090			−0.345653			−0.172827	+	0.984952i	$0.555290\pi$
$212$	1.70434	−	0.984004i	0.117055	−	0.0675817i
$213$	0.172734	−	0.0462839i	0.0118355	−	0.00317132i
$214$	−2.66777	−	9.95627i	−0.182365	−	0.680597i
$215$	−10.3840	−	2.78239i	−0.708185	−	0.189758i
$216$	0.000695828	0	0.000695828i	4.73451e−5	0	4.73451e-5i
$217$	−6.86166	−	13.6743i	−0.465800	−	0.928272i
$218$			17.5825i			1.19084i
$219$	1.61552	−	6.02919i	0.109166	−	0.407415i
$220$	−16.0168	+	27.7419i	−1.07985	+	1.87036i
$221$	−2.25457	+	24.8141i	−0.151659	+	1.66918i
$222$	2.01910	−	1.16573i	0.135513	−	0.0782384i
$223$	11.3906	+	11.3906i	0.762770	+	0.762770i	0.976822	−	0.214052i	$-0.0686663\pi$
$223$	11.3906	+	11.3906i	0.762770	+	0.762770i	−0.214052	+	0.976822i	$0.568666\pi$
$224$	−18.9167	+	9.49226i	−1.26393	+	0.634229i
$225$		−	8.76973i		−	0.584649i
$226$	20.9243	+	5.60664i	1.39186	+	0.372948i
$227$	12.8899	−	3.45383i	0.855531	−	0.229239i	0.195710	−	0.980662i	$-0.437299\pi$
$227$	12.8899	−	3.45383i	0.855531	−	0.229239i	0.659821	+	0.751423i	$0.270632\pi$
$228$	−6.92385	+	1.85524i	−0.458543	+	0.122866i
$229$	−8.61537	−	2.30848i	−0.569320	−	0.152549i	−0.0373352	−	0.999303i	$-0.511887\pi$
$229$	−8.61537	−	2.30848i	−0.569320	−	0.152549i	−0.531985	+	0.846754i	$0.678554\pi$
$230$			9.42721i			0.621612i
$231$	0.668054	−	11.4032i	0.0439547	−	0.750273i
$232$	0.00318815	+	0.00318815i	0.000209313	+	0.000209313i
$233$	20.2075	−	11.6668i	1.32384	−	0.764320i	0.339501	−	0.940606i	$-0.389742\pi$
$233$	20.2075	−	11.6668i	1.32384	−	0.764320i	0.984339	+	0.176286i	$0.0564084\pi$
$234$	−4.61643	−	5.53915i	−0.301786	−	0.362105i
$235$	20.8978	−	36.1961i	1.36322	−	2.36117i
$236$	−6.94884	+	25.9334i	−0.452331	+	1.68812i
$237$		−	3.65171i		−	0.237204i
$238$	−30.5427	−	20.1031i	−1.97979	−	1.30309i
$239$	−6.24905	+	6.24905i	−0.404217	+	0.404217i	−0.879716	−	0.475499i	$-0.842268\pi$
$239$	−6.24905	+	6.24905i	−0.404217	+	0.404217i	0.475499	+	0.879716i	$0.342268\pi$
$240$	14.3408	+	3.84261i	0.925695	+	0.248039i
$241$	−6.36028	−	23.7369i	−0.409701	−	1.52903i	−0.795217	−	0.606325i	$-0.792643\pi$
$241$	−6.36028	−	23.7369i	−0.409701	−	1.52903i	0.385515	−	0.922701i	$-0.374024\pi$
$242$	14.7580	−	3.95439i	0.948679	−	0.254198i
$243$	−0.866025	+	0.500000i	−0.0555556	+	0.0320750i
$244$	−26.7035			−1.70952
$245$	−3.74715	−	25.7036i	−0.239397	−	1.64214i
$246$			4.07499i			0.259812i
$247$	−2.20195	−	12.7367i	−0.140107	−	0.810418i
$248$	−0.00492800	−	0.00284518i	−0.000312928	−	0.000180669i
$249$	−0.962342	−	3.59151i	−0.0609859	−	0.227603i
$250$	24.2274	−	13.9877i	1.53228	−	0.884660i
$251$	−15.5629			−0.982320			−0.491160	−	0.871069i	$-0.663427\pi$
$251$	−15.5629			−0.982320			−0.491160	+	0.871069i	$0.663427\pi$
$252$	5.18127	−	1.06801i	0.326389	−	0.0672782i
$253$	3.87813	−	3.87813i	0.243816	−	0.243816i
$254$	−4.96828	+	18.5419i	−0.311738	+	1.16342i
$255$	6.63699	+	24.7696i	0.415624	+	1.55113i
$256$	−8.00393	+	13.8632i	−0.500246	+	0.866451i
$257$	−8.86177	−	15.3490i	−0.552782	−	0.957447i	−0.998072	−	0.0620606i	$-0.980233\pi$
$257$	−8.86177	−	15.3490i	−0.552782	−	0.957447i	0.445290	−	0.895386i	$-0.353101\pi$
$258$	−4.09683	+	4.09683i	−0.255057	+	0.255057i
$259$	−3.07913	−	0.180391i	−0.191328	−	0.0112089i
$260$	9.23374	−	25.1080i	0.572652	−	1.55713i
$261$	−2.29091	−	3.96797i	−0.141804	−	0.245611i
$262$	1.62326	−	0.434952i	0.100285	−	0.0268714i
$263$	11.5093	−	19.9347i	0.709695	−	1.22923i	−0.255275	−	0.966868i	$-0.582166\pi$
$263$	11.5093	−	19.9347i	0.709695	−	1.22923i	0.964970	−	0.262359i	$-0.0845006\pi$
$264$	−0.00212426	−	0.00367932i	−0.000130739	−	0.000226447i
$265$	2.58257	+	2.58257i	0.158646	+	0.158646i
$266$	18.0037	+	5.97257i	1.10388	+	0.366202i
$267$	7.62328	+	7.62328i	0.466537	+	0.466537i
$268$	−1.68253	+	6.27929i	−0.102777	+	0.383569i
$269$	−19.7554	−	11.4058i	−1.20451	−	0.695422i	−0.242953	−	0.970038i	$-0.578116\pi$
$269$	−19.7554	−	11.4058i	−1.20451	−	0.695422i	−0.961554	+	0.274616i	$0.911449\pi$
$270$	−6.42683	−	3.71053i	−0.391124	−	0.225816i
$271$	12.1152	+	3.24626i	0.735946	+	0.197196i	0.607276	−	0.794491i	$-0.292262\pi$
$271$	12.1152	+	3.24626i	0.735946	+	0.197196i	0.128670	+	0.991687i	$0.458929\pi$
$272$	−27.6490			−1.67646
$273$	1.07255	+	9.47891i	0.0649136	+	0.573689i
$274$	5.78817			0.349676
$275$	−36.5721	−	9.79947i	−2.20538	−	0.590931i
$276$	2.19974	+	1.27002i	0.132409	+	0.0764462i
$277$	8.84433	+	5.10628i	0.531404	+	0.306806i	0.741588	−	0.670855i	$-0.234073\pi$
$277$	8.84433	+	5.10628i	0.531404	+	0.306806i	−0.210184	+	0.977662i	$0.567406\pi$
$278$	3.63237	−	13.5562i	0.217855	−	0.813046i
$279$	4.08891	+	4.08891i	0.244797	+	0.244797i
$280$	−0.00642023	−	0.00721930i	−0.000383682	−	0.000431436i
$281$	−5.15442	−	5.15442i	−0.307487	−	0.307487i	0.536447	−	0.843934i	$-0.319766\pi$
$281$	−5.15442	−	5.15442i	−0.307487	−	0.307487i	−0.843934	+	0.536447i	$0.819766\pi$
$282$	−11.2627	−	19.5075i	−0.670683	−	1.16166i
$283$	−4.48760	+	7.77275i	−0.266760	+	0.462042i	−0.968023	−	0.250860i	$-0.919287\pi$
$283$	−4.48760	+	7.77275i	−0.266760	+	0.462042i	0.701263	+	0.712903i	$0.252620\pi$
$284$	0.345383	−	0.0925450i	0.0204947	−	0.00549154i
$285$	−6.65141	−	11.5206i	−0.393995	−	0.682420i
$286$	−28.2582	+	13.0622i	−1.67094	+	0.772384i
$287$	2.96396	−	4.50314i	0.174957	−	0.265812i
$288$	5.65651	−	5.65651i	0.333313	−	0.333313i
$289$	−15.3778	−	26.6351i	−0.904576	−	1.56677i
$290$	17.0010	−	29.4465i	0.998331	−	1.72916i
$291$	1.16677	+	4.35445i	0.0683974	+	0.255263i
$292$	3.23024	−	12.0554i	0.189035	−	0.705490i
$293$	0.584729	−	0.584729i	0.0341602	−	0.0341602i	−0.689820	−	0.723981i	$-0.742311\pi$
$293$	0.584729	−	0.584729i	0.0341602	−	0.0341602i	0.723981	+	0.689820i	$0.242311\pi$
$294$	−13.0065	−	5.17742i	−0.758557	−	0.301954i
$295$	−49.8260			−2.90098
$296$	−0.000993506	0	0.000573601i	−5.77464e−5	0	3.33399e-5i
$297$	1.11742	+	4.17027i	0.0648393	+	0.241983i
$298$	32.8598	+	18.9716i	1.90351	+	1.09899i
$299$	−2.63965	+	3.74312i	−0.152655	+	0.216470i
$300$		−	17.5352i		−	1.01239i
$301$	7.50711	−	1.54743i	0.432703	−	0.0891923i
$302$	−6.53738			−0.376184
$303$	2.25154	−	1.29993i	0.129348	−	0.0746789i
$304$	13.8545	−	3.71231i	0.794611	−	0.212915i
$305$	−12.8264	−	47.8687i	−0.734436	−	2.74095i
$306$	13.3493	+	3.57694i	0.763130	+	0.204480i
$307$	0.648783	−	0.648783i	0.0370280	−	0.0370280i	−0.688350	−	0.725378i	$-0.741665\pi$
$307$	0.648783	−	0.648783i	0.0370280	−	0.0370280i	0.725378	+	0.688350i	$0.241665\pi$
$308$	1.33578	−	22.8007i	0.0761130	−	1.29919i
$309$		−	4.37382i		−	0.248818i
$310$	−11.1067	+	41.4508i	−0.630818	+	2.35425i
$311$	3.40477	−	5.89724i	0.193067	−	0.334402i	−0.753198	−	0.657794i	$-0.771490\pi$
$311$	3.40477	−	5.89724i	0.193067	−	0.334402i	0.946265	+	0.323392i	$0.104823\pi$
$312$	0.00227154	+	0.00272557i	0.000128600	+	0.000154305i
$313$	−23.3858	+	13.5018i	−1.32184	+	0.763166i	−0.984022	−	0.178045i	$-0.943023\pi$
$313$	−23.3858	+	13.5018i	−1.32184	+	0.763166i	−0.337820	+	0.941211i	$0.609689\pi$
$314$	−19.6479	−	19.6479i	−1.10879	−	1.10879i
$315$	4.40321	+	8.77496i	0.248093	+	0.494413i
$316$		−	7.30163i		−	0.410749i
$317$	23.2260	+	6.22338i	1.30450	+	0.349540i	0.843150	−	0.537679i	$-0.180699\pi$
$317$	23.2260	+	6.22338i	1.30450	+	0.349540i	0.461350	+	0.887218i	$0.347365\pi$
$318$	1.90130	−	0.509452i	0.106620	−	0.0285686i
$319$	−19.1074	+	5.11981i	−1.06981	+	0.286654i
$320$	28.6604	+	7.67954i	1.60217	+	0.429299i
$321$		−	5.15406i		−	0.287672i
$322$	−3.01458	−	6.00763i	−0.167996	−	0.334792i
$323$	17.5177	+	17.5177i	0.974713	+	0.974713i
$324$	−1.73162	+	0.999754i	−0.0962014	+	0.0555419i
$325$	31.4900	+	2.86113i	1.74675	+	0.158707i
$326$	−22.3351	+	38.6856i	−1.23703	+	2.14260i
$327$	−2.27548	+	8.49221i	−0.125834	+	0.469621i
$328$		−	0.00200512i		−	0.000110714i
$329$	−1.74285	+	29.7491i	−0.0960863	+	1.64012i
$330$	−22.6554	+	22.6554i	−1.24714	+	1.24714i
$331$	3.45552	+	0.925903i	0.189932	+	0.0508922i	0.352531	−	0.935800i	$-0.385321\pi$
$331$	3.45552	+	0.925903i	0.189932	+	0.0508922i	−0.162599	+	0.986692i	$0.551988\pi$
$332$	−1.92421	−	7.18125i	−0.105605	−	0.394122i
$333$	1.12607	−	0.301730i	0.0617084	−	0.0165347i
$334$	24.4088	−	14.0924i	1.33559	−	0.771102i
$335$	−12.0644			−0.659150
$336$	−10.3676	+	2.13707i	−0.565601	+	0.116587i
$337$		−	1.68901i		−	0.0920062i	−0.998941	−	0.0460031i	$-0.985352\pi$
$337$		−	1.68901i		−	0.0920062i	0.998941	−	0.0460031i	$-0.0146484\pi$
$338$	21.3959	−	14.7693i	1.16378	−	0.803347i
$339$	9.38066	+	5.41593i	0.509488	+	0.294153i
$340$	13.2707	+	49.5270i	0.719705	+	2.68598i
$341$	21.6209	−	12.4828i	1.17084	−	0.675983i
$342$	−7.16942			−0.387678
$343$	10.6073	+	15.1817i	0.572740	+	0.819737i
$344$	0.00201586	−	0.00201586i	0.000108688	−	0.000108688i
$345$	−1.22005	+	4.55327i	−0.0656851	+	0.245140i
$346$	6.96073	+	25.9778i	0.374211	+	1.39657i
$347$	−3.82542	+	6.62582i	−0.205359	+	0.355693i	−0.950247	−	0.311497i	$-0.899170\pi$
$347$	−3.82542	+	6.62582i	−0.205359	+	0.355693i	0.744888	+	0.667190i	$0.232503\pi$
$348$	−4.58069	−	7.93398i	−0.245551	−	0.425306i
$349$	22.4477	−	22.4477i	1.20160	−	1.20160i	0.227918	−	0.973680i	$-0.426808\pi$
$349$	22.4477	−	22.4477i	1.20160	−	1.20160i	0.973680	−	0.227918i	$-0.0731917\pi$
$350$	−25.5116	+	38.7598i	−1.36365	+	2.07180i
$351$	−1.51284	−	3.27281i	−0.0807494	−	0.174690i
$352$	−17.2685	−	29.9098i	−0.920412	−	1.59420i
$353$	−19.7319	+	5.28714i	−1.05022	+	0.281406i	−0.742343	−	0.670020i	$-0.766286\pi$
$353$	−19.7319	+	5.28714i	−1.05022	+	0.281406i	−0.307878	+	0.951426i	$0.599619\pi$
$354$	−13.4266	+	23.2556i	−0.713616	+	1.23602i
$355$	0.331793	+	0.574681i	0.0176097	+	0.0305009i
$356$	15.2428	+	15.2428i	0.807868	+	0.807868i
$357$	−12.1502	−	13.6624i	−0.643056	−	0.723092i
$358$	1.62755	+	1.62755i	0.0860187	+	0.0860187i
$359$	−0.628889	+	2.34705i	−0.0331915	+	0.123872i	−0.980534	−	0.196350i	$-0.937091\pi$
$359$	−0.628889	+	2.34705i	−0.0331915	+	0.123872i	0.947342	+	0.320223i	$0.103758\pi$
$360$	0.00316235	+	0.00182579i	0.000166671	+	9.62273e-5i
$361$	5.32456	+	3.07414i	0.280240	+	0.161797i
$362$	−30.6464	−	8.21167i	−1.61074	−	0.431596i
$363$	7.63976			0.400983
$364$	2.14457	+	18.9531i	0.112406	+	0.993415i
$365$	23.1621			1.21236
$366$	−25.7983	−	6.91264i	−1.34850	−	0.361330i
$367$	2.72448	+	1.57298i	0.142216	+	0.0821087i	0.569420	−	0.822047i	$-0.307168\pi$
$367$	2.72448	+	1.57298i	0.142216	+	0.0821087i	−0.427203	+	0.904156i	$0.640501\pi$
$368$	−4.40164	−	2.54129i	−0.229451	−	0.132474i
$369$	−0.527375	+	1.96819i	−0.0274541	+	0.102460i
$370$	6.11750	+	6.11750i	0.318034	+	0.318034i
$371$	−2.47162	−	0.819938i	−0.128320	−	0.0425691i
$372$	8.17581	+	8.17581i	0.423896	+	0.423896i
$373$	−2.88457	−	4.99623i	−0.149358	−	0.258695i	0.781633	−	0.623739i	$-0.214387\pi$
$373$	−2.88457	−	4.99623i	−0.149358	−	0.258695i	−0.930990	+	0.365044i	$0.881054\pi$
$374$	29.8336	−	51.6733i	1.54266	−	2.67196i
$375$	13.5119	−	3.62051i	0.697753	−	0.186962i
$376$	0.00554186	+	0.00959878i	0.000285800	+	0.000495019i
$377$	14.9954	−	6.93155i	0.772304	−	0.356993i
$378$	5.28212	+	0.309453i	0.271683	+	0.0159165i
$379$	−6.50605	+	6.50605i	−0.334194	+	0.334194i	−0.854177	−	0.519983i	$-0.825938\pi$
$379$	−6.50605	+	6.50605i	−0.334194	+	0.334194i	0.519983	+	0.854177i	$0.325938\pi$
$380$	−13.2995	−	23.0355i	−0.682252	−	1.18170i
$381$	−4.79929	+	8.31261i	−0.245875	+	0.425868i
$382$	2.12553	+	7.93258i	0.108752	+	0.405866i
$383$	0.374125	−	1.39625i	0.0191169	−	0.0713452i	−0.955708	−	0.294315i	$-0.904908\pi$
$383$	0.374125	−	1.39625i	0.0191169	−	0.0713452i	0.974825	+	0.222970i	$0.0715752\pi$
$384$	−0.00556662	+	0.00556662i	−0.000284071	+	0.000284071i
$385$	41.5142	−	8.55725i	2.11576	−	0.436118i
$386$	−7.78954			−0.396477
$387$	−2.50894	+	1.44854i	−0.127537	+	0.0736332i
$388$	2.33297	+	8.70677i	0.118439	+	0.442019i
$389$	−8.99232	−	5.19172i	−0.455929	−	0.263231i	0.254402	−	0.967099i	$-0.418121\pi$
$389$	−8.99232	−	5.19172i	−0.455929	−	0.263231i	−0.710331	+	0.703868i	$0.751455\pi$
$390$	15.4204	−	21.8666i	0.780841	−	1.10726i
$391$		−	8.77868i		−	0.443957i
$392$	0.00639993	+	0.00254758i	0.000323245	+	0.000128672i
$393$	0.840314			0.0423882
$394$	29.6996	−	17.1471i	1.49624	−	0.863857i
$395$	13.0889	−	3.50716i	0.658574	−	0.176464i
$396$	2.23429	+	8.33848i	0.112277	+	0.419025i
$397$	−20.9408	−	5.61108i	−1.05099	−	0.281612i	−0.308330	−	0.951280i	$-0.599770\pi$
$397$	−20.9408	−	5.61108i	−1.05099	−	0.281612i	−0.742661	+	0.669667i	$0.766437\pi$
$398$	15.8131	−	15.8131i	0.792639	−	0.792639i
$399$	7.92269	+	5.21470i	0.396631	+	0.261062i
$400$			35.0876i			1.75438i
$401$	−3.08954	+	11.5303i	−0.154284	+	0.575796i	0.844881	+	0.534954i	$0.179671\pi$
$401$	−3.08954	+	11.5303i	−0.154284	+	0.575796i	−0.999166	+	0.0408426i	$0.986996\pi$
$402$	−3.25100	+	5.63090i	−0.162145	+	0.280844i
$403$	−16.0163	+	13.3483i	−0.797829	+	0.664926i
$404$	4.50198	−	2.59922i	0.223982	−	0.129316i
$405$	−2.62390	−	2.62390i	−0.130383	−	0.130383i
$406$	−1.41785	+	24.2017i	−0.0703670	+	1.20111i
$407$		−	5.03319i		−	0.249486i
$408$	−0.00656860	−	0.00176005i	−0.000325194	−	8.71355e-5i
$409$	20.7332	−	5.55545i	1.02519	−	0.274699i	0.293227	−	0.956043i	$-0.405271\pi$
$409$	20.7332	−	5.55545i	1.02519	−	0.274699i	0.731964	+	0.681344i	$0.238604\pi$
$410$	−14.6061	+	3.91368i	−0.721342	+	0.193283i
$411$	2.79564	+	0.749090i	0.137899	+	0.0369499i
$412$		−	8.74548i		−	0.430859i
$413$	31.7523	−	15.9331i	1.56243	−	0.784015i
$414$	1.79641	+	1.79641i	0.0882888	+	0.0882888i
$415$	11.9489	−	6.89868i	0.586547	−	0.338643i
$416$	18.4657	+	22.1566i	0.905356	+	1.08632i
$417$	3.50881	−	6.07744i	0.171827	−	0.297614i
$418$	−8.01125	+	29.8984i	−0.391843	+	1.46238i
$419$			20.7379i			1.01311i	0.862208	+	0.506555i	$0.169081\pi$
$419$			20.7379i			1.01311i	−0.862208	+	0.506555i	$0.830919\pi$
$420$	8.80425	+	17.5456i	0.429603	+	0.856137i
$421$	−0.968065	+	0.968065i	−0.0471806	+	0.0471806i	−0.730303	−	0.683123i	$-0.760621\pi$
$421$	−0.968065	+	0.968065i	−0.0471806	+	0.0471806i	0.683123	+	0.730303i	$0.260621\pi$
$422$	−9.69905	−	2.59885i	−0.472142	−	0.126510i
$423$	−2.91518	−	10.8796i	−0.141741	−	0.528983i
$424$	−0.000935544	0	0.000250678i	−4.54340e−5	0	1.21740e-5i
$425$	−52.4843	+	30.3018i	−2.54586	+	1.46985i
$426$	0.357633			0.0173274
$427$	23.4810	+	26.4034i	1.13632	+	1.27775i
$428$		−	10.3056i		−	0.498139i
$429$	−15.3390	+	2.65184i	−0.740573	+	0.128032i
$430$	−18.6190	−	10.7497i	−0.897887	−	0.518396i
$431$	9.64212	+	35.9849i	0.464445	+	1.73333i	0.658723	+	0.752385i	$0.271097\pi$
$431$	9.64212	+	35.9849i	0.464445	+	1.73333i	−0.194279	+	0.980946i	$0.562237\pi$
$432$	3.46495	−	2.00049i	0.166708	−	0.0962487i
$433$	−10.4582			−0.502589			−0.251294	−	0.967911i	$-0.580856\pi$
$433$	−10.4582			−0.502589			−0.251294	+	0.967911i	$0.580856\pi$
$434$	−6.17700	−	29.9667i	−0.296505	−	1.43845i
$435$	12.0222	−	12.0222i	0.576422	−	0.576422i
$436$	−4.54984	+	16.9803i	−0.217898	+	0.813207i
$437$	1.17868	+	4.39888i	0.0563837	+	0.210427i
$438$	6.24149	−	10.8106i	0.298230	−	0.516550i
$439$	−1.93340	−	3.34874i	−0.0922759	−	0.159827i	0.816193	−	0.577780i	$-0.196081\pi$
$439$	−1.93340	−	3.34874i	−0.0922759	−	0.159827i	−0.908468	+	0.417953i	$0.862748\pi$
$440$	0.0111477	−	0.0111477i	0.000531445	−	0.000531445i
$441$	−5.61201	−	4.18393i	−0.267239	−	0.199235i
$442$	−17.1992	+	46.7672i	−0.818080	+	2.22449i
$443$	−5.82196	−	10.0839i	−0.276610	−	0.479102i	0.693930	−	0.720042i	$-0.255878\pi$
$443$	−5.82196	−	10.0839i	−0.276610	−	0.479102i	−0.970540	+	0.240940i	$0.922544\pi$
$444$	2.25159	−	0.603313i	0.106856	−	0.0286319i
$445$	−20.0028	+	34.6458i	−0.948221	+	1.64237i
$446$	16.1077	+	27.8994i	0.762723	+	1.32108i
$447$	13.4158	+	13.4158i	0.634544	+	0.634544i
$448$	−20.7200	+	4.27098i	−0.978927	+	0.201785i
$449$	2.63700	+	2.63700i	0.124448	+	0.124448i	0.766587	−	0.642140i	$-0.221953\pi$
$449$	2.63700	+	2.63700i	0.124448	+	0.124448i	−0.642140	+	0.766587i	$0.721953\pi$
$450$	4.53927	−	16.9408i	0.213983	−	0.798596i
$451$	7.61858	+	4.39859i	0.358745	+	0.207122i
$452$	18.7567	+	10.8292i	0.882241	+	0.509362i
$453$	−3.15751	−	0.846051i	−0.148353	−	0.0397510i
$454$	26.6875			1.25251
$455$	−32.9453	+	12.9480i	−1.54450	+	0.607013i
$456$	0.00352775			0.000165202
$457$	0.507542	+	0.135995i	0.0237418	+	0.00636160i	0.270670	−	0.962672i	$-0.412755\pi$
$457$	0.507542	+	0.135995i	0.0237418	+	0.00636160i	−0.246929	+	0.969034i	$0.579421\pi$
$458$	−15.4477	−	8.91874i	−0.721824	−	0.416745i
$459$	5.98470	+	3.45527i	0.279342	+	0.161278i
$460$	−2.43949	+	9.10431i	−0.113742	+	0.424491i
$461$	1.95767	+	1.95767i	0.0911776	+	0.0911776i	0.751224	−	0.660047i	$-0.229464\pi$
$461$	1.95767	+	1.95767i	0.0911776	+	0.0911776i	−0.660047	+	0.751224i	$0.729464\pi$
$462$	7.19285	−	21.6821i	0.334642	−	1.00874i
$463$	−9.31273	−	9.31273i	−0.432799	−	0.432799i	0.456780	−	0.889580i	$-0.349003\pi$
$463$	−9.31273	−	9.31273i	−0.432799	−	0.432799i	−0.889580	+	0.456780i	$0.849003\pi$
$464$	9.16588	+	15.8758i	0.425515	+	0.737014i
$465$	−10.7289	+	18.5830i	−0.497541	+	0.861767i
$466$	45.0744	−	12.0777i	2.08803	−	0.559486i
$467$	−1.13222	−	1.96106i	−0.0523928	−	0.0907471i	0.838640	−	0.544687i	$-0.183351\pi$
$467$	−1.13222	−	1.96106i	−0.0523928	−	0.0907471i	−0.891032	+	0.453940i	$0.850018\pi$
$468$	−3.02493	−	6.54402i	−0.139828	−	0.302497i
$469$	7.68822	−	3.85789i	0.355009	−	0.178141i
$470$	59.1044	−	59.1044i	2.72628	−	2.72628i
$471$	−6.94700	−	12.0326i	−0.320101	−	0.554431i
$472$	0.00660663	−	0.0114430i	0.000304095	−	0.000526708i
$473$	3.23725	+	12.0816i	0.148849	+	0.555511i
$474$	1.89015	−	7.05414i	0.0868175	−	0.324007i
$475$	22.2306	−	22.2306i	1.02001	−	1.02001i
$476$	−24.2944	−	27.3181i	−1.11353	−	1.25212i
$477$	0.984246			0.0450655
$478$	−15.3060	+	8.83694i	−0.700082	+	0.404192i
$479$	10.8093	+	40.3407i	0.493888	+	1.84321i	0.536172	+	0.844109i	$0.319870\pi$
$479$	10.8093	+	40.3407i	0.493888	+	1.84321i	−0.0422837	+	0.999106i	$0.513463\pi$
$480$	25.7073	+	14.8421i	1.17337	+	0.677447i
$481$	0.716060	+	4.14190i	0.0326495	+	0.188854i
$482$		−	49.1454i		−	2.23851i
$483$	−0.678529	−	3.29178i	−0.0308741	−	0.149781i
$484$	15.2758			0.694353
$485$	−14.4872	+	8.36417i	−0.657828	+	0.379797i
$486$	−1.93173	+	0.517606i	−0.0876252	+	0.0234791i
$487$	−3.24238	−	12.1007i	−0.146926	−	0.548336i	−0.999662	−	0.0259938i	$-0.991725\pi$
$487$	−3.24238	−	12.1007i	−0.146926	−	0.548336i	0.852736	−	0.522342i	$-0.174942\pi$
$488$	0.0126942	+	0.00340140i	0.000574640	+	0.000153974i
$489$	−15.7943	+	15.7943i	−0.714243	+	0.714243i
$490$	6.06586	−	51.5921i	0.274027	−	2.33069i
$491$		−	18.7850i		−	0.847754i	−0.905720	−	0.423877i	$-0.860669\pi$
$491$		−	18.7850i		−	0.847754i	0.905720	−	0.423877i	$-0.139331\pi$
$492$	−1.05449	+	3.93541i	−0.0475401	+	0.177422i
$493$	−15.8314	+	27.4208i	−0.713011	+	1.23497i
$494$	2.33903	−	25.7437i	0.105238	−	1.15826i
$495$	−13.8744	+	8.01038i	−0.623607	+	0.360040i
$496$	−16.3597	−	16.3597i	−0.734571	−	0.734571i
$497$	−0.395208	−	0.260125i	−0.0177275	−	0.0116682i
$498$		−	7.43595i		−	0.333213i
$499$	−24.5636	−	6.58179i	−1.09962	−	0.294641i	−0.337008	−	0.941502i	$-0.609415\pi$
$499$	−24.5636	−	6.58179i	−1.09962	−	0.294641i	−0.762608	+	0.646861i	$0.776082\pi$
$500$	27.0172	−	7.23924i	1.20825	−	0.323748i
$501$	13.6131	−	3.64761i	0.608186	−	0.162963i
$502$	−30.0633	−	8.05544i	−1.34179	−	0.359532i
$503$			41.3177i			1.84227i	0.389247	+	0.921133i	$0.372735\pi$
$503$			41.3177i			1.84227i	−0.389247	+	0.921133i	$0.627265\pi$
$504$	−0.00259909		0.000152268i	−0.000115773		6.78255e-6i
$505$	6.82177	+	6.82177i	0.303565	+	0.303565i
$506$	9.49886	−	5.48417i	0.422276	−	0.243801i
$507$	12.2455	−	4.36449i	0.543840	−	0.193834i
$508$	−9.59621	+	16.6211i	−0.425763	+	0.737443i
$509$	9.90138	−	36.9524i	0.438871	−	1.63789i	−0.292759	−	0.956186i	$-0.594573\pi$
$509$	9.90138	−	36.9524i	0.438871	−	1.63789i	0.731630	−	0.681702i	$-0.238760\pi$
$510$			51.2835i			2.27087i
$511$	−14.7604	+	7.40665i	−0.652961	+	0.327651i
$512$	−22.6260	+	22.6260i	−0.999938	+	0.999938i
$513$	−3.46278	−	0.927848i	−0.152885	−	0.0409655i
$514$	−9.17382	−	34.2372i	−0.404640	−	1.51014i
$515$	15.6771	−	4.20068i	0.690818	−	0.185104i
$516$	−5.01664	+	2.89636i	−0.220845	+	0.127505i
$517$	−48.6283			−2.13867
$518$	−5.85468	−	1.94224i	−0.257240	−	0.0853373i
$519$			13.4479i			0.590298i
$520$	−0.00758768	+	0.0107596i	−0.000332742	+	0.000471839i
$521$	6.07676	+	3.50842i	0.266228	+	0.153707i	0.627172	−	0.778881i	$-0.284212\pi$
$521$	6.07676	+	3.50842i	0.266228	+	0.153707i	−0.360944	+	0.932587i	$0.617546\pi$
$522$	−2.37158	−	8.85084i	−0.103801	−	0.387391i
$523$	−1.53732	+	0.887574i	−0.0672224	+	0.0388109i	−0.533235	−	0.845967i	$-0.679024\pi$
$523$	−1.53732	+	0.887574i	−0.0672224	+	0.0388109i	0.466012	+	0.884778i	$0.345690\pi$
$524$	1.68021			0.0734005
$525$	−17.3381	+	15.4190i	−0.756698	+	0.672942i
$526$	32.5513	−	32.5513i	1.41930	−	1.41930i
$527$	10.3426	−	38.5992i	0.450532	−	1.68141i
$528$	−4.47078	−	16.6852i	−0.194566	−	0.726129i
$529$	−10.6931	+	18.5210i	−0.464919	+	0.805263i
$530$	3.65207	+	6.32558i	0.158636	+	0.274766i
$531$	−9.49463	+	9.49463i	−0.412032	+	0.412032i
$532$	15.8415	+	10.4268i	0.686815	+	0.452061i
$533$	−6.89525	−	2.53580i	−0.298666	−	0.109838i
$534$	10.7803	+	18.6720i	0.466509	+	0.808017i
$535$	18.4738	−	4.95004i	0.798692	−	0.214009i
$536$	0.00159967	−	0.00277071i	6.90953e−5	−	0.000119676i
$537$	0.575462	+	0.996729i	0.0248330	+	0.0430120i
$538$	−32.2584	−	32.2584i	−1.39076	−	1.39076i
$539$	−23.7191	+	18.7284i	−1.02165	+	0.806689i
$540$	−5.24651	−	5.24651i	−0.225774	−	0.225774i
$541$	−8.72331	+	32.5558i	−0.375044	+	1.39968i	0.478236	+	0.878232i	$0.341276\pi$
$541$	−8.72331	+	32.5558i	−0.375044	+	1.39968i	−0.853280	+	0.521453i	$0.825390\pi$
$542$	21.7230	+	12.5418i	0.933085	+	0.538717i
$543$	−13.7392	−	7.93235i	−0.589607	−	0.340410i
$544$	−53.3973	−	14.3078i	−2.28939	−	0.613440i
$545$	−32.6242			−1.39747
$546$	−2.83446	+	18.8659i	−0.121304	+	0.807385i
$547$	34.2526			1.46454			0.732268	−	0.681016i	$-0.238462\pi$
$547$	34.2526			1.46454			0.732268	+	0.681016i	$0.238462\pi$
$548$	5.58991	+	1.49781i	0.238789	+	0.0639834i
$549$	−11.5658	−	6.67751i	−0.493616	−	0.284989i
$550$	−65.5753	−	37.8599i	−2.79614	−	1.61435i
$551$	4.25123	−	15.8658i	0.181108	−	0.675906i
$552$	−0.000883933	0	0.000883933i	−3.76227e−5	0	3.76227e-5i
$553$	−7.21959	+	6.42049i	−0.307008	+	0.273027i
$554$	14.4418	+	14.4418i	0.613575	+	0.613575i
$555$	2.16300	+	3.74642i	0.0918141	+	0.159027i
$556$	7.01590	−	12.1519i	0.297540	−	0.515355i
$557$	−6.14900	+	1.64762i	−0.260542	+	0.0698119i	−0.386725	−	0.922195i	$-0.626394\pi$
$557$	−6.14900	+	1.64762i	−0.260542	+	0.0698119i	0.126184	+	0.992007i	$0.459727\pi$
$558$	5.78224	+	10.0151i	0.244782	+	0.423974i
$559$	−4.38281	−	9.48158i	−0.185373	−	0.401028i
$560$	−17.6172	−	35.1085i	−0.744461	−	1.48360i
$561$	21.0968	−	21.0968i	0.890709	−	0.890709i
$562$	−7.28900	−	12.6249i	−0.307468	−	0.532550i
$563$	10.7292	−	18.5835i	0.452181	−	0.783200i	−0.546340	−	0.837563i	$-0.683979\pi$
$563$	10.7292	−	18.5835i	0.452181	−	0.783200i	0.998521	+	0.0543629i	$0.0173128\pi$
$564$	−5.82892	−	21.7538i	−0.245442	−	0.916001i
$565$	−10.4031	+	38.8248i	−0.437661	+	1.63337i
$566$	−12.6921	+	12.6921i	−0.533488	+	0.533488i
$567$	2.51118	+	0.833062i	0.105460	+	0.0349853i
$568$	−0.000175975	0		−7.38374e−6	0
$569$	23.7134	−	13.6909i	0.994116	−	0.573953i	0.0876138	−	0.996155i	$-0.472076\pi$
$569$	23.7134	−	13.6909i	0.994116	−	0.573953i	0.906502	+	0.422202i	$0.138743\pi$
$570$	−6.88562	−	25.6975i	−0.288407	−	1.07635i
$571$	−3.66320	−	2.11495i	−0.153300	−	0.0885079i	0.421388	−	0.906881i	$-0.361543\pi$
$571$	−3.66320	−	2.11495i	−0.153300	−	0.0885079i	−0.574688	+	0.818373i	$0.694877\pi$
$572$	−30.6704	+	5.30237i	−1.28240	+	0.221703i
$573$			4.10646i			0.171550i
$574$	8.05643	−	7.16470i	0.336269	−	0.299049i
$575$	−11.1405			−0.464590
$576$	6.92479	−	3.99803i	0.288533	−	0.166585i
$577$	33.2315	−	8.90436i	1.38345	−	0.370693i	0.511075	−	0.859536i	$-0.329248\pi$
$577$	33.2315	−	8.90436i	1.38345	−	0.370693i	0.872372	+	0.488843i	$0.162581\pi$
$578$	−15.9193	−	59.4115i	−0.662155	−	2.47119i
$579$	−3.76229	−	1.00810i	−0.156356	−	0.0418953i
$580$	24.0386	−	24.0386i	0.998147	−	0.998147i
$581$	−5.40856	+	8.21722i	−0.224385	+	0.340908i
$582$			9.01557i			0.373707i
$583$	1.09982	−	4.10457i	0.0455497	−	0.169994i
$584$	−0.00307116	+	0.00531940i	−0.000127085	+	0.000220118i
$585$	10.2779	−	8.56576i	0.424937	−	0.354150i
$586$	1.43220	−	0.826881i	0.0591636	−	0.0341581i
$587$	6.78035	+	6.78035i	0.279855	+	0.279855i	0.833051	−	0.553196i	$-0.186592\pi$
$587$	6.78035	+	6.78035i	0.279855	+	0.279855i	−0.553196	+	0.833051i	$0.686592\pi$
$588$	−11.2213	−	8.36581i	−0.462757	−	0.345000i
$589$			20.7302i			0.854173i
$590$	−96.2505	−	25.7902i	−3.96257	−	1.06177i
$591$	16.5638	−	4.43826i	0.681344	−	0.182566i
$592$	−4.50540	+	1.20722i	−0.185171	+	0.0496164i
$593$	17.1462	+	4.59431i	0.704110	+	0.188666i	0.593071	−	0.805150i	$-0.297915\pi$
$593$	17.1462	+	4.59431i	0.704110	+	0.188666i	0.111039	+	0.993816i	$0.464582\pi$
$594$			8.63423i			0.354267i
$595$	37.3012	−	56.6718i	1.52920	−	2.32332i
$596$	26.8249	+	26.8249i	1.09879	+	1.09879i
$597$	9.68410	−	5.59112i	0.396344	−	0.228829i
$598$	−7.03656	+	5.86440i	−0.287746	+	0.239813i
$599$	−10.7912	+	18.6909i	−0.440916	+	0.763689i	−0.997758	−	0.0669297i	$-0.978680\pi$
$599$	−10.7912	+	18.6909i	−0.440916	+	0.763689i	0.556842	+	0.830619i	$0.312013\pi$
$600$	−0.00223357	+	0.00833580i	−9.11851e−5	+	0.000340307i
$601$			8.89802i			0.362958i	0.983395	+	0.181479i	$0.0580884\pi$
$601$			8.89802i			0.362958i	−0.983395	+	0.181479i	$0.941912\pi$
$602$	15.3027	+	0.896507i	0.623691	+	0.0365389i
$603$	−2.29895	+	2.29895i	−0.0936203	+	0.0936203i
$604$	−6.31346	−	1.69169i	−0.256891	−	0.0688337i
$605$	7.33734	+	27.3833i	0.298305	+	1.11329i
$606$	5.02223	−	1.34570i	0.204014	−	0.0546654i
$607$	39.6291	−	22.8799i	1.60850	−	0.928666i	0.618789	−	0.785557i	$-0.287624\pi$
$607$	39.6291	−	22.8799i	1.60850	−	0.928666i	0.989707	−	0.143108i	$-0.0457097\pi$
$608$	28.6777			1.16303
$609$	−3.81694	+	11.5057i	−0.154670	+	0.466236i
$610$		−	99.1085i		−	4.01278i
$611$	40.0171	−	6.91823i	1.61892	−	0.279882i
$612$	11.9665	+	6.90884i	0.483716	+	0.279273i
$613$	−9.80361	−	36.5876i	−0.395964	−	1.47776i	−0.820132	−	0.572174i	$-0.806100\pi$
$613$	−9.80361	−	36.5876i	−0.395964	−	1.47776i	0.424168	−	0.905583i	$-0.360566\pi$
$614$	1.58909	−	0.917462i	0.0641305	−	0.0370257i
$615$	−7.56112			−0.304894
$616$	−0.00353928	+	0.0106688i	−0.000142602	+	0.000429857i
$617$	−17.8333	+	17.8333i	−0.717941	+	0.717941i	−0.968183	−	0.250243i	$-0.919490\pi$
$617$	−17.8333	+	17.8333i	−0.717941	+	0.717941i	0.250243	+	0.968183i	$0.419490\pi$
$618$	2.26391	−	8.44904i	0.0910680	−	0.339870i
$619$	−8.03943	−	30.0036i	−0.323132	−	1.20595i	−0.916176	−	0.400775i	$-0.868741\pi$
$619$	−8.03943	−	30.0036i	−0.323132	−	1.20595i	0.593044	−	0.805170i	$-0.297926\pi$
$620$	−21.4525	+	37.1569i	−0.861555	+	1.49226i
$621$	0.635166	+	1.10014i	0.0254883	+	0.0441471i
$622$	9.62956	−	9.62956i	0.386110	−	0.386110i
$623$	1.66820	−	28.4749i	0.0668350	−	1.14082i
$624$	6.05285	+	13.0945i	0.242308	+	0.524199i
$625$	4.02978	+	6.97978i	0.161191	+	0.279191i
$626$	−52.1637	+	13.9772i	−2.08488	+	0.558642i
$627$	−7.73875	+	13.4039i	−0.309056	+	0.535301i
$628$	−13.8906	−	24.0592i	−0.554295	−	0.960067i
$629$	−5.69666	−	5.69666i	−0.227141	−	0.227141i
$630$	3.96385	+	19.2300i	0.157924	+	0.766142i
$631$	24.0354	+	24.0354i	0.956834	+	0.956834i	0.999106	−	0.0422719i	$-0.0134596\pi$
$631$	24.0354	+	24.0354i	0.956834	+	0.956834i	−0.0422719	+	0.999106i	$0.513460\pi$
$632$	−0.000930058		0.00347102i	−3.69957e−5		0.000138070i
$633$	−4.34823	−	2.51045i	−0.172827	−	0.0997815i
$634$	41.6451	+	24.0438i	1.65394	+	0.954901i
$635$	−34.4043	−	9.21862i	−1.36529	−	0.365830i
$636$	1.96801			0.0780366
$637$	16.8544	−	18.7864i	0.667796	−	0.744344i
$638$	−39.5604			−1.56621
$639$	0.172734	+	0.0462839i	0.00683325	+	0.00183096i
$640$	−0.0252988	−	0.0146063i	−0.00100002	−	0.000577364i
$641$	20.9402	+	12.0898i	0.827089	+	0.477520i	0.852855	−	0.522148i	$-0.174869\pi$
$641$	20.9402	+	12.0898i	0.827089	+	0.477520i	−0.0257657	+	0.999668i	$0.508202\pi$
$642$	2.66777	−	9.95627i	0.105289	−	0.392943i
$643$	−4.19994	−	4.19994i	−0.165629	−	0.165629i	0.619426	−	0.785055i	$-0.287365\pi$
$643$	−4.19994	−	4.19994i	−0.165629	−	0.165629i	−0.785055	+	0.619426i	$0.787365\pi$
$644$	−1.35672	−	6.58194i	−0.0534624	−	0.259365i
$645$	−7.60164	−	7.60164i	−0.299314	−	0.299314i
$646$	24.7723	+	42.9069i	0.974653	+	1.68815i
$647$	−22.4945	+	38.9616i	−0.884349	+	1.53174i	−0.0378901	+	0.999282i	$0.512064\pi$
$647$	−22.4945	+	38.9616i	−0.884349	+	1.53174i	−0.846458	+	0.532455i	$0.821270\pi$
$648$	0.000950519	0	0.000254691i	3.73399e−5	0	1.00052e-5i
$649$	28.9857	+	50.2046i	1.13779	+	1.97070i
$650$	59.3493	+	21.8264i	2.32787	+	0.856100i
$651$	0.894775	−	15.2731i	0.0350690	−	0.598601i
$652$	−31.5808	+	31.5808i	−1.23680	+	1.23680i
$653$	−7.75856	−	13.4382i	−0.303616	−	0.525878i	0.673336	−	0.739336i	$-0.264861\pi$
$653$	−7.75856	−	13.4382i	−0.303616	−	0.525878i	−0.976952	+	0.213458i	$0.931527\pi$
$654$	−8.79125	+	15.2269i	−0.343765	+	0.595418i
$655$	0.807050	+	3.01195i	0.0315341	+	0.117687i
$656$	2.11002	−	7.87470i	0.0823824	−	0.307455i
$657$	4.41367	−	4.41367i	0.172194	−	0.172194i
$658$	−18.7650	+	56.5652i	−0.731537	+	2.20514i
$659$	0.710176			0.0276645			0.0138323	−	0.999904i	$-0.495597\pi$
$659$	0.710176			0.0276645			0.0138323	+	0.999904i	$0.495597\pi$
$660$	−27.7419	+	16.0168i	−1.07985	+	0.623454i
$661$	1.85498	+	6.92287i	0.0721503	+	0.269268i	0.992572	−	0.121658i	$-0.0388212\pi$
$661$	1.85498	+	6.92287i	0.0721503	+	0.269268i	−0.920422	+	0.390927i	$0.872155\pi$
$662$	6.19588	+	3.57719i	0.240810	+	0.139032i
$663$	−14.3596	+	20.3624i	−0.557679	+	0.790808i
$664$			0.00365890i			0.000141993i
$665$	−11.0821	+	33.4057i	−0.429744	+	1.29542i
$666$	2.33145			0.0903419
$667$	−5.04064	+	2.91021i	−0.195174	+	0.112684i
$668$	27.2194	−	7.29342i	1.05315	−	0.282191i
$669$	4.16924	+	15.5598i	0.161192	+	0.601578i
$670$	−23.3052	−	6.24462i	−0.900360	−	0.241251i
$671$	−40.7709	+	40.7709i	−1.57394	+	1.57394i
$672$	−21.1285	−	1.23781i	−0.815049	−	0.0477496i
$673$		−	32.5934i		−	1.25638i	−0.778059	−	0.628191i	$-0.783796\pi$
$673$		−	32.5934i		−	1.25638i	0.778059	−	0.628191i	$-0.216204\pi$
$674$	0.874242	−	3.26272i	0.0336745	−	0.125675i
$675$	4.38487	−	7.59481i	0.168774	−	0.292324i
$676$	24.4849	−	8.72683i	0.941727	−	0.335647i
$677$	−23.2547	+	13.4261i	−0.893749	+	0.516006i	−0.875167	−	0.483821i	$-0.839249\pi$
$677$	−23.2547	+	13.4261i	−0.893749	+	0.516006i	−0.0185820	+	0.999827i	$0.505915\pi$
$678$	15.3176	+	15.3176i	0.588270	+	0.588270i
$679$	6.55750	−	9.96281i	0.251654	−	0.382338i
$680$		−	0.0252343i		−	0.000967692i
$681$	12.8899	+	3.45383i	0.493941	+	0.132351i
$682$	48.2270	−	12.9224i	1.84671	−	0.494823i
$683$	33.3476	−	8.93545i	1.27601	−	0.341906i	0.443679	−	0.896186i	$-0.353673\pi$
$683$	33.3476	−	8.93545i	1.27601	−	0.341906i	0.832330	+	0.554280i	$0.187006\pi$
$684$	−6.92385	−	1.85524i	−0.264740	−	0.0709369i
$685$			10.7399i			0.410351i
$686$	12.6323	+	34.8175i	0.482302	+	1.32934i
$687$	−6.30689	−	6.30689i	−0.240623	−	0.240623i
$688$	10.0382	−	5.79557i	0.382704	−	0.220954i
$689$	−0.321110	+	3.53419i	−0.0122333	+	0.134642i
$690$	−4.71361	+	8.16421i	−0.179444	+	0.310806i
$691$	−7.69355	+	28.7127i	−0.292677	+	1.09228i	0.650369	+	0.759619i	$0.274614\pi$
$691$	−7.69355	+	28.7127i	−0.292677	+	1.09228i	−0.943045	+	0.332665i	$0.892052\pi$
$692$			26.8892i			1.02217i
$693$	6.28013	−	9.54140i	0.238562	−	0.362448i
$694$	−10.8193	+	10.8193i	−0.410693	+	0.410693i
$695$	25.1534	+	6.73984i	0.954123	+	0.255657i
$696$	0.00116695	+	0.00435510i	4.42330e−5	+	0.000165080i
$697$	13.6013	−	3.64445i	0.515185	−	0.138043i
$698$	54.9820	−	31.7439i	2.08110	−	1.20152i
$699$	23.3337			0.882560
$700$	−34.6677	+	30.8305i	−1.31032	+	1.16528i
$701$		−	34.5676i		−	1.30560i	−0.757531	−	0.652799i	$-0.773595\pi$
$701$		−	34.5676i		−	1.30560i	0.757531	−	0.652799i	$-0.226405\pi$
$702$	−1.22837	−	7.10526i	−0.0463619	−	0.268171i
$703$	3.61938	+	2.08965i	0.136508	+	0.0788127i
$704$	−8.93496	−	33.3457i	−0.336749	−	1.25676i
$705$	36.1961	−	20.8978i	1.36322	−	0.787058i
$706$	−40.8533			−1.53754
$707$	−6.52870	−	2.16584i	−0.245537	−	0.0814549i
$708$	−18.9846	+	18.9846i	−0.713484	+	0.713484i
$709$	2.06440	−	7.70445i	0.0775302	−	0.289347i	−0.916265	−	0.400573i	$-0.868811\pi$
$709$	2.06440	−	7.70445i	0.0775302	−	0.289347i	0.993795	+	0.111226i	$0.0354778\pi$
$710$	0.343476	+	1.28187i	0.0128904	+	0.0481077i
$711$	1.82586	−	3.16248i	0.0684750	−	0.118602i
$712$	−0.00530449	−	0.00918765i	−0.000198794	−	0.000344322i
$713$	5.19428	−	5.19428i	0.194527	−	0.194527i
$714$	−16.3992	−	32.6812i	−0.613724	−	1.22306i
$715$	−24.2368	−	52.4330i	−0.906406	−	1.96088i
$716$	1.15064	+	1.99297i	0.0430014	+	0.0744807i
$717$	−8.53636	+	2.28731i	−0.318796	+	0.0854212i
$718$	−2.42969	+	4.20835i	−0.0906753	+	0.157054i
$719$	17.9558	+	31.1004i	0.669639	+	1.15985i	0.978005	+	0.208581i	$0.0668846\pi$
$719$	17.9558	+	31.1004i	0.669639	+	1.15985i	−0.308366	+	0.951268i	$0.599782\pi$
$720$	10.4982	+	10.4982i	0.391245	+	0.391245i
$721$	−8.64721	+	7.69009i	−0.322039	+	0.286394i
$722$	8.69443	+	8.69443i	0.323573	+	0.323573i
$723$	6.36028	−	23.7369i	0.236541	−	0.882784i
$724$	−27.4717	−	15.8608i	−1.02098	−	0.589462i
$725$	34.7980	+	20.0906i	1.29237	+	0.746148i
$726$	14.7580	+	3.95439i	0.547720	+	0.146761i
$727$	22.2796			0.826303			0.413152	−	0.910662i	$-0.364428\pi$
$727$	22.2796			0.826303			0.413152	+	0.910662i	$0.364428\pi$
$728$	0.00139471	−	0.00928304i	5.16915e−5	−	0.000344053i
$729$	−1.00000			−0.0370370
$730$	44.7430	+	11.9888i	1.65601	+	0.443727i
$731$	17.3381	+	10.0102i	0.641274	+	0.370240i
$732$	−23.1259	−	13.3517i	−0.854758	−	0.493495i
$733$	1.79012	−	6.68084i	0.0661198	−	0.246762i	−0.924954	−	0.380080i	$-0.875896\pi$
$733$	1.79012	−	6.68084i	0.0661198	−	0.246762i	0.991073	+	0.133318i	$0.0425631\pi$
$734$	4.44878	+	4.44878i	0.164207	+	0.164207i
$735$	9.60668	−	24.1336i	0.354348	−	0.890180i
$736$	−7.18564	−	7.18564i	−0.264866	−	0.264866i
$737$	7.01833	+	12.1561i	0.258524	+	0.447776i
$738$	−2.03750	+	3.52905i	−0.0750013	+	0.129906i
$739$	−2.75354	+	0.737810i	−0.101291	+	0.0271408i	−0.309108	−	0.951027i	$-0.600031\pi$
$739$	−2.75354	+	0.737810i	−0.101291	+	0.0271408i	0.207818	+	0.978168i	$0.433364\pi$
$740$	4.32493	+	7.49099i	0.158988	+	0.275374i
$741$	4.46141	−	12.1313i	0.163894	−	0.445654i
$742$	−4.35010	−	2.86322i	−0.159697	−	0.105112i
$743$	−28.0207	+	28.0207i	−1.02798	+	1.02798i	−0.0283839	+	0.999597i	$0.509036\pi$
$743$	−28.0207	+	28.0207i	−1.02798	+	1.02798i	−0.999597	+	0.0283839i	$0.990964\pi$
$744$	−0.00284518	−	0.00492800i	−0.000104309	−	0.000180669i
$745$	−35.2017	+	60.9711i	−1.28969	+	2.23381i
$746$	−2.98615	−	11.1445i	−0.109331	−	0.408027i
$747$	0.962342	−	3.59151i	0.0352102	−	0.131406i
$748$	42.1833	−	42.1833i	1.54237	−	1.54237i
$749$	−10.1898	+	9.06193i	−0.372327	+	0.331116i
$750$	27.9754			1.02152
$751$	−37.8878	+	21.8745i	−1.38254	+	0.798212i	−0.992460	−	0.122567i	$-0.960887\pi$
$751$	−37.8878	+	21.8745i	−1.38254	+	0.798212i	−0.390084	+	0.920779i	$0.627554\pi$
$752$	11.6636	+	43.5290i	0.425327	+	1.58734i
$753$	−13.4778	−	7.78144i	−0.491160	−	0.283571i
$754$	32.5550	−	5.62817i	1.18558	−	0.204966i
$755$		−	12.1301i		−	0.441458i
$756$	5.02112	+	1.66571i	0.182616	+	0.0605814i
$757$	−3.02589			−0.109978			−0.0549890	−	0.998487i	$-0.517512\pi$
$757$	−3.02589			−0.109978			−0.0549890	+	0.998487i	$0.517512\pi$
$758$	−15.9355	+	9.20038i	−0.578805	+	0.334173i
$759$	5.29763	−	1.41949i	0.192292	−	0.0515244i
$760$	0.00338810	+	0.0126446i	0.000122899	+	0.000458667i
$761$	27.9333	+	7.48470i	1.01258	+	0.271320i	0.726707	−	0.686947i	$-0.241050\pi$
$761$	27.9333	+	7.48470i	1.01258	+	0.271320i	0.285873	+	0.958268i	$0.407716\pi$
$762$	−13.5736	+	13.5736i	−0.491720	+	0.491720i
$763$	20.7902	−	10.4324i	0.752657	−	0.377678i
$764$			8.21090i			0.297060i
$765$	−6.63699	+	24.7696i	−0.239961	+	0.895546i
$766$	1.44542	−	2.50354i	0.0522251	−	0.0904565i
$767$	−30.9953	−	37.1906i	−1.11918	−	1.34287i
$768$	−13.8632	+	8.00393i	−0.500246	+	0.288817i
$769$	−18.2145	−	18.2145i	−0.656832	−	0.656832i	0.297797	−	0.954629i	$-0.403748\pi$
$769$	−18.2145	−	18.2145i	−0.656832	−	0.656832i	−0.954629	+	0.297797i	$0.903748\pi$
$770$	84.6235	+	4.95767i	3.04962	+	0.178662i
$771$		−	17.7235i		−	0.638298i
$772$	−7.52273	−	2.01571i	−0.270749	−	0.0725470i
$773$	−8.52108	+	2.28322i	−0.306482	+	0.0821216i	−0.408782	−	0.912632i	$-0.634046\pi$
$773$	−8.52108	+	2.28322i	−0.306482	+	0.0821216i	0.102300	+	0.994754i	$0.467380\pi$
$774$	−5.59637	+	1.49954i	−0.201157	+	0.0539000i
$775$	−48.9839	−	13.1252i	−1.75955	−	0.471471i
$776$		−	0.00443616i		−	0.000159249i
$777$	−2.57641	−	1.69579i	−0.0924282	−	0.0608360i
$778$	−14.6835	−	14.6835i	−0.526429	−	0.526429i
$779$	−6.32608	+	3.65237i	−0.226655	+	0.130860i
$780$	20.5507	−	17.1273i	0.735831	−	0.613256i
$781$	0.386033	−	0.668628i	0.0138133	−	0.0239254i
$782$	4.54390	−	16.9581i	0.162490	−	0.606419i
$783$		−	4.58181i		−	0.163741i
$784$	22.4536	+	16.7398i	0.801914	+	0.597852i
$785$	36.4565	−	36.4565i	1.30119	−	1.30119i
$786$	1.62326	+	0.434952i	0.0578998	+	0.0155142i
$787$	−3.70998	−	13.8458i	−0.132247	−	0.493551i	0.867747	−	0.497006i	$-0.165567\pi$
$787$	−3.70998	−	13.8458i	−0.132247	−	0.493551i	−0.999994	+	0.00345428i	$0.998900\pi$
$788$	33.1195	−	8.87434i	1.17983	−	0.316135i
$789$	19.9347	−	11.5093i	0.709695	−	0.409743i
$790$	27.0996			0.964160
$791$	−5.78568	−	28.0683i	−0.205715	−	0.997994i
$792$		−	0.00424851i		−	0.000150964i
$793$	27.7507	−	39.3514i	0.985456	−	1.39741i
$794$	−37.5478	−	21.6782i	−1.33252	−	0.769331i
$795$	0.945285	+	3.52785i	0.0335258	+	0.125120i
$796$	19.3634	−	11.1795i	0.686319	−	0.396246i
$797$	0.286039			0.0101320			0.00506601	−	0.999987i	$-0.498387\pi$
$797$	0.286039			0.0101320			0.00506601	+	0.999987i	$0.498387\pi$
$798$	12.6054	+	14.1742i	0.446225	+	0.501763i
$799$	−55.0384	+	55.0384i	−1.94712	+	1.94712i
$800$	−18.1571	+	67.7631i	−0.641949	+	2.39579i
$801$	2.79032	+	10.4136i	0.0985909	+	0.367946i
$802$	−11.9363	+	20.6743i	−0.421486	+	0.730035i
$803$	−13.4743	−	23.3381i	−0.475497	−	0.823585i
$804$	−4.59676	+	4.59676i	−0.162115	+	0.162115i
$805$	11.1471	−	5.59354i	0.392884	−	0.197146i
$806$	−37.8484	+	17.4952i	−1.33315	+	0.616242i
$807$	−11.4058	−	19.7554i	−0.401502	−	0.695422i
$808$	−0.00247121		0.000662159i	−8.69369e−5		2.32947e-5i
$809$	−8.39842	+	14.5465i	−0.295273	+	0.511427i	−0.975048	−	0.221993i	$-0.928744\pi$
$809$	−8.39842	+	14.5465i	−0.295273	+	0.511427i	0.679776	+	0.733420i	$0.262077\pi$
$810$	−3.71053	−	6.42683i	−0.130375	−	0.225816i
$811$	−22.7965	−	22.7965i	−0.800493	−	0.800493i	0.182680	−	0.983172i	$-0.441523\pi$
$811$	−22.7965	−	22.7965i	−0.800493	−	0.800493i	−0.983172	+	0.182680i	$0.941523\pi$
$812$	−7.63199	+	23.0058i	−0.267830	+	0.807346i
$813$	8.86894	+	8.86894i	0.311047	+	0.311047i
$814$	2.60521	−	9.72277i	0.0913125	−	0.340783i
$815$	−71.7809	−	41.4427i	−2.51437	−	1.45167i
$816$	−23.9447	−	13.8245i	−0.838232	−	0.483954i
$817$	−10.0319	−	2.68804i	−0.350972	−	0.0940428i
$818$	42.9265			1.50089
$819$	−3.81060	+	8.74525i	−0.133153	+	0.305584i
$820$	−15.1185			−0.527962
$821$	−27.8034	−	7.44990i	−0.970346	−	0.260003i	−0.261372	−	0.965238i	$-0.584175\pi$
$821$	−27.8034	−	7.44990i	−0.970346	−	0.260003i	−0.708974	+	0.705235i	$0.750842\pi$
$822$	5.01270	+	2.89409i	0.174838	+	0.100943i
$823$	17.7840	+	10.2676i	0.619913	+	0.357907i	0.776835	−	0.629704i	$-0.216824\pi$
$823$	17.7840	+	10.2676i	0.619913	+	0.357907i	−0.156922	+	0.987611i	$0.550157\pi$
$824$	−0.00111397	+	0.00415739i	−3.88070e−5	+	0.000144830i
$825$	−26.7727	−	26.7727i	−0.932104	−	0.932104i
$826$	69.5840	−	14.3432i	2.42114	−	0.499065i
$827$	−6.98433	−	6.98433i	−0.242869	−	0.242869i	0.575167	−	0.818036i	$-0.304937\pi$
$827$	−6.98433	−	6.98433i	−0.242869	−	0.242869i	−0.818036	+	0.575167i	$0.804937\pi$
$828$	1.27002	+	2.19974i	0.0441362	+	0.0764462i
$829$	1.97318	−	3.41765i	0.0685314	−	0.118700i	−0.829724	−	0.558174i	$-0.811502\pi$
$829$	1.97318	−	3.41765i	0.0685314	−	0.118700i	0.898255	+	0.439475i	$0.144835\pi$
$830$	26.6528	−	7.14160i	0.925132	−	0.247888i
$831$	5.10628	+	8.84433i	0.177135	+	0.306806i
$832$	12.0968	+	26.1696i	0.419380	+	0.907269i
$833$	−5.64857	+	48.0429i	−0.195711	+	1.66459i
$834$	9.92381	−	9.92381i	0.343634	−	0.343634i
$835$	26.1484	+	45.2903i	0.904901	+	1.56734i
$836$	−15.4737	+	26.8012i	−0.535169	+	0.926940i
$837$	1.49665	+	5.58556i	0.0517316	+	0.193065i
$838$	−10.7340	+	40.0600i	−0.370801	+	1.38385i
$839$	−25.1579	+	25.1579i	−0.868547	+	0.868547i	−0.992312	−	0.123764i	$-0.960503\pi$
$839$	−25.1579	+	25.1579i	−0.868547	+	0.868547i	0.123764	+	0.992312i	$0.460503\pi$
$840$	−0.00195043	−	0.00946222i	−6.72963e−5	−	0.000326478i
$841$	−8.00699			−0.276103
$842$	−2.37112	+	1.36897i	−0.0817142	+	0.0471777i
$843$	−1.88665	−	7.04107i	−0.0649796	−	0.242507i
$844$	−8.69432	−	5.01967i	−0.299271	−	0.172784i
$845$	27.4044	+	39.6999i	0.942741	+	1.36572i
$846$		−	22.5254i		−	0.774438i
$847$	−13.4323	−	15.1041i	−0.461540	−	0.518984i
$848$	−3.93795			−0.135230
$849$	−7.77275	+	4.48760i	−0.266760	+	0.154014i
$850$	−117.070	+	31.3688i	−4.01547	+	1.07594i
$851$	−0.383298	−	1.43049i	−0.0131393	−	0.0490365i
$852$	0.345383	+	0.0925450i	0.0118326	+	0.00317054i
$853$	1.29647	−	1.29647i	0.0443904	−	0.0443904i	−0.684563	−	0.728954i	$-0.740007\pi$
$853$	1.29647	−	1.29647i	0.0443904	−	0.0443904i	0.728954	+	0.684563i	$0.240007\pi$
$854$	31.6924	+	63.1583i	1.08449	+	2.16123i
$855$		−	13.3028i		−	0.454947i
$856$	−0.00131269	+	0.00489903i	−4.48669e−5	+	0.000167445i
$857$	23.8536	−	41.3156i	0.814822	−	1.41131i	−0.0946332	−	0.995512i	$-0.530168\pi$
$857$	23.8536	−	41.3156i	0.814822	−	1.41131i	0.909455	−	0.415801i	$-0.136499\pi$
$858$	−31.0034	−	2.81692i	−1.05844	−	0.0961680i
$859$	50.0935	−	28.9215i	1.70917	−	0.986789i	0.773579	−	0.633700i	$-0.218465\pi$
$859$	50.0935	−	28.9215i	1.70917	−	0.986789i	0.935590	−	0.353089i	$-0.114869\pi$
$860$	−15.1995	−	15.1995i	−0.518300	−	0.518300i
$861$	4.81843	−	2.41785i	0.164212	−	0.0824002i
$862$			74.5040i			2.53762i
$863$	−15.4076	−	4.12845i	−0.524480	−	0.140534i	−0.0131418	−	0.999914i	$-0.504183\pi$
$863$	−15.4076	−	4.12845i	−0.524480	−	0.140534i	−0.511338	+	0.859380i	$0.670850\pi$
$864$	7.72693	−	2.07042i	0.262876	−	0.0704373i
$865$	−48.2016	+	12.9156i	−1.63890	+	0.439143i
$866$	−20.2024	−	5.41323i	−0.686507	−	0.183949i
$867$		−	30.7556i		−	1.04451i
$868$	1.78911	−	30.5387i	0.0607264	−	1.03655i
$869$	−11.1481	−	11.1481i	−0.378174	−	0.378174i
$870$	29.4465	−	17.0010i	0.998331	−	0.576387i
$871$	−7.50493	−	9.00499i	−0.254295	−	0.305123i
$872$	0.00432578	−	0.00749247i	0.000146489	−	0.000253727i
$873$	−1.16677	+	4.35445i	−0.0394893	+	0.147376i
$874$			9.10755i			0.308067i
$875$	−30.9147	−	20.3480i	−1.04511	−	0.687888i
$876$	8.82517	−	8.82517i	0.298175	−	0.298175i
$877$	9.11470	+	2.44228i	0.307781	+	0.0824698i	0.409404	−	0.912353i	$-0.365737\pi$
$877$	9.11470	+	2.44228i	0.307781	+	0.0824698i	−0.101622	+	0.994823i	$0.532403\pi$
$878$	−2.00147	−	7.46961i	−0.0675465	−	0.252087i
$879$	0.798754	−	0.214026i	0.0269413	−	0.00721890i
$880$	55.5112	−	32.0494i	1.87128	−	1.08038i
$881$	−41.3831			−1.39423			−0.697115	−	0.716959i	$-0.745533\pi$
$881$	−41.3831			−1.39423			−0.697115	+	0.716959i	$0.745533\pi$
$882$	−8.67528	−	10.9871i	−0.292112	−	0.369953i
$883$			2.62441i			0.0883186i	0.999025	+	0.0441593i	$0.0140609\pi$
$883$			2.62441i			0.0883186i	−0.999025	+	0.0441593i	$0.985939\pi$
$884$	−28.7121	+	40.7147i	−0.965691	+	1.36938i
$885$	−43.1506	−	24.9130i	−1.45049	−	0.837441i
$886$	−6.02697	−	22.4929i	−0.202480	−	0.755665i
$887$	45.6273	−	26.3429i	1.53201	−	0.884509i	0.532746	−	0.846275i	$-0.321160\pi$
$887$	45.6273	−	26.3429i	1.53201	−	0.884509i	0.999269	−	0.0382340i	$-0.0121732\pi$
$888$	−0.00114720			−3.84976e−5
$889$	24.8725	−	5.12694i	0.834198	−	0.171952i
$890$	−56.5728	+	56.5728i	−1.89633	+	1.89633i
$891$	−1.11742	+	4.17027i	−0.0374350	+	0.139709i
$892$	8.33643	+	31.1120i	0.279124	+	1.04171i
$893$	20.1892	−	34.9687i	0.675606	−	1.17018i
$894$	18.9716	+	32.8598i	0.634505	+	1.09899i
$895$	−3.01991	+	3.01991i	−0.100944	+	0.100944i
$896$	0.0207927	+	0.00121814i	0.000694637	+	4.06953e-5i
$897$	−4.15756	+	1.92181i	−0.138817	+	0.0641673i
$898$	3.72905	+	6.45890i	0.124440	+	0.215536i
$899$	−25.5920	+	6.85735i	−0.853541	+	0.228705i
$900$	8.76758	−	15.1859i	0.292253	−	0.506196i
$901$	−3.40084	−	5.89042i	−0.113298	−	0.196238i
$902$	12.4403	+	12.4403i	0.414218	+	0.414218i
$903$	7.27506	+	2.41344i	0.242099	+	0.0803143i
$904$	−0.00753711	−	0.00753711i	−0.000250681	−	0.000250681i
$905$	15.2367	−	56.8641i	0.506485	−	1.89023i
$906$	−5.66154	−	3.26869i	−0.188092	−	0.108595i
$907$	−47.0645	−	27.1727i	−1.56275	−	0.902254i	−0.996977	−	0.0776927i	$-0.975245\pi$
$907$	−47.0645	−	27.1727i	−1.56275	−	0.902254i	−0.565772	−	0.824561i	$-0.691422\pi$
$908$	25.7734	+	6.90596i	0.855320	+	0.229182i
$909$	2.59986			0.0862318
$910$	−70.3435	+	7.95945i	−2.33187	+	0.263853i
$911$	45.4327			1.50525			0.752627	−	0.658447i	$-0.228786\pi$
$911$	45.4327			1.50525			0.752627	+	0.658447i	$0.228786\pi$
$912$	13.8545	+	3.71231i	0.458769	+	0.122927i
$913$	−13.9022	−	8.02645i	−0.460096	−	0.265637i
$914$	0.910043	+	0.525413i	0.0301015	+	0.0173791i
$915$	12.8264	−	47.8687i	0.424027	−	1.58249i
$916$	−12.6107	−	12.6107i	−0.416668	−	0.416668i
$917$	−1.47745	−	1.66134i	−0.0487897	−	0.0548621i
$918$	9.77238	+	9.77238i	0.322537	+	0.322537i
$919$	22.9913	+	39.8220i	0.758412	+	1.31361i	0.943660	+	0.330916i	$0.107358\pi$
$919$	22.9913	+	39.8220i	0.758412	+	1.31361i	−0.185249	+	0.982692i	$0.559309\pi$
$920$	0.00231935	−	0.00401724i	7.64668e−5	−	0.000132444i
$921$	0.886255	−	0.237471i	0.0292031	−	0.00782494i
$922$	2.76839	+	4.79499i	0.0911720	+	0.157915i
$923$	−0.222549	+	0.605146i	−0.00732529	+	0.0199186i
$924$	12.5572	−	19.0781i	0.413101	−	0.627623i
$925$	−7.22927	+	7.22927i	−0.237697	+	0.237697i
$926$	−13.1694	−	22.8100i	−0.432773	−	0.749584i
$927$	2.18691	−	3.78784i	0.0718275	−	0.124409i
$928$	9.48630	+	35.4034i	0.311403	+	1.16217i
$929$	−10.8702	+	40.5681i	−0.356640	+	1.33100i	0.521769	+	0.853087i	$0.325272\pi$
$929$	−10.8702	+	40.5681i	−0.356640	+	1.33100i	−0.878409	+	0.477911i	$0.841394\pi$
$930$	−30.3441	+	30.3441i	−0.995021	+	0.995021i
$931$	−3.62009	−	24.8320i	−0.118644	−	0.813837i
$932$	46.6558			1.52826
$933$	5.89724	−	3.40477i	0.193067	−	0.111467i
$934$	−1.17209	−	4.37429i	−0.0383519	−	0.143131i
$935$	95.8795	+	55.3560i	3.13559	+	1.81034i
$936$	0.000604426		0.00349618i	1.97563e−5		0.000114276i
$937$			33.8374i			1.10542i	0.833374	+	0.552709i	$0.186406\pi$
$937$			33.8374i			1.10542i	−0.833374	+	0.552709i	$0.813594\pi$
$938$	16.8485	−	3.47295i	0.550122	−	0.113396i
$939$	−27.0036			−0.881228
$940$	72.3744	−	41.7854i	2.36059	−	1.36289i
$941$	−15.0366	+	4.02905i	−0.490180	+	0.131343i	−0.495439	−	0.868643i	$-0.664993\pi$
$941$	−15.0366	+	4.02905i	−0.490180	+	0.131343i	0.00525899	+	0.999986i	$0.498326\pi$
$942$	−7.19162	−	26.8395i	−0.234316	−	0.874478i
$943$	2.50026	+	0.669942i	0.0814195	+	0.0218163i
$944$	37.9879	−	37.9879i	1.23640	−	1.23640i
$945$	−0.574188	+	9.80094i	−0.0186783	+	0.318825i
$946$			25.0140i			0.813275i
$947$	0.284118	−	1.06034i	0.00923259	−	0.0344565i	−0.961156	−	0.276006i	$-0.910989\pi$
$947$	0.284118	−	1.06034i	0.00923259	−	0.0344565i	0.970388	+	0.241550i	$0.0776557\pi$
$948$	3.65082	−	6.32340i	0.118573	−	0.205374i
$949$	14.4085	+	17.2884i	0.467719	+	0.561205i
$950$	54.4504	−	31.4370i	1.76660	−	1.01995i
$951$	17.0026	+	17.0026i	0.551346	+	0.551346i
$952$	0.00806929	+	0.0160809i	0.000261527	+	0.000521186i
$953$		−	41.6100i		−	1.34788i	−0.738786	−	0.673941i	$-0.764600\pi$
$953$		−	41.6100i		−	1.34788i	0.738786	−	0.673941i	$-0.235400\pi$
$954$	1.90130	+	0.509452i	0.0615569	+	0.0164941i
$955$	−14.7189	+	3.94391i	−0.476291	+	0.127622i
$956$	−17.0685	+	4.57350i	−0.552035	+	0.147917i
$957$	−19.1074	−	5.11981i	−0.617654	−	0.165500i
$958$			83.5224i			2.69849i
$959$	−3.43435	−	6.84416i	−0.110901	−	0.221010i
$960$	20.9809	+	20.9809i	0.677155	+	0.677155i
$961$	2.11173	−	1.21921i	0.0681202	−	0.0393292i
$962$	−0.760636	+	8.37168i	−0.0245239	+	0.269914i
$963$	2.57703	−	4.46355i	0.0830437	−	0.143836i
$964$	12.7174	−	47.4621i	0.409601	−	1.52865i
$965$		−	14.4534i		−	0.465273i
$966$	0.393108	−	6.71005i	0.0126480	−	0.215892i
$967$	29.8760	−	29.8760i	0.960749	−	0.960749i	−0.0385095	−	0.999258i	$-0.512261\pi$
$967$	29.8760	−	29.8760i	0.960749	−	0.960749i	0.999258	+	0.0385095i	$0.0122610\pi$
$968$	−0.00726174	−	0.00194578i	−0.000233401	−	6.25396e-5i
$969$	6.41193	+	23.9297i	0.205981	+	0.768732i
$970$	−32.3147	+	8.65869i	−1.03756	+	0.278014i
$971$	−11.4291	+	6.59859i	−0.366777	+	0.211759i	−0.672050	−	0.740506i	$-0.734586\pi$
$971$	−11.4291	+	6.59859i	−0.366777	+	0.211759i	0.305272	+	0.952265i	$0.401253\pi$
$972$	−1.99951			−0.0641342
$973$	−18.1846	+	3.74836i	−0.582971	+	0.120167i
$974$		−	25.0536i		−	0.802770i
$975$	25.8406	+	18.2228i	0.827561	+	0.583597i
$976$	46.2745	+	26.7166i	1.48121	+	0.855178i
$977$	4.36718	+	16.2985i	0.139718	+	0.521436i	0.999934	+	0.0115054i	$0.00366236\pi$
$977$	4.36718	+	16.2985i	0.139718	+	0.521436i	−0.860215	+	0.509931i	$0.829671\pi$
$978$	−38.6856	+	22.3351i	−1.23703	+	0.714199i
$979$	46.5454			1.48760
$980$	19.2086	−	48.2552i	0.613597	−	1.54146i
$981$	−6.21673	+	6.21673i	−0.198485	+	0.198485i
$982$	9.72322	−	36.2876i	0.310281	−	1.15798i
$983$	−11.4052	−	42.5649i	−0.363771	−	1.35761i	−0.869080	−	0.494672i	$-0.835288\pi$
$983$	−11.4052	−	42.5649i	−0.363771	−	1.35761i	0.505309	−	0.862938i	$-0.331378\pi$
$984$	0.00100256	−	0.00173648i	3.19604e−5	−	5.53571e-5i
$985$	31.8163	+	55.1074i	1.01375	+	1.75587i
$986$	−44.7752	+	44.7752i	−1.42593	+	1.42593i
$987$	−16.3839	+	24.8920i	−0.521505	+	0.792322i
$988$	8.92063	−	24.2566i	0.283803	−	0.771706i
$989$	1.84012	+	3.18719i	0.0585125	+	0.101347i
$990$	−30.9478	+	8.29244i	−0.983586	+	0.263551i
$991$	−8.44853	+	14.6333i	−0.268376	+	0.464842i	−0.968443	−	0.249236i	$-0.919820\pi$
$991$	−8.44853	+	14.6333i	−0.268376	+	0.464842i	0.700066	+	0.714078i	$0.253154\pi$
$992$	−23.1290	−	40.0605i	−0.734345	−	1.27192i
$993$	2.52961	+	2.52961i	0.0802749	+	0.0802749i
$994$	−0.628794	−	0.707054i	−0.0199441	−	0.0224264i
$995$	29.3411	+	29.3411i	0.930175	+	0.930175i
$996$	1.92421	−	7.18125i	0.0609709	−	0.227547i
$997$	14.6898	+	8.48119i	0.465232	+	0.268602i	0.714242	−	0.699899i	$-0.246772\pi$
$997$	14.6898	+	8.48119i	0.465232	+	0.268602i	−0.249010	+	0.968501i	$0.580105\pi$
$998$	−44.0435	−	25.4285i	−1.39417	−	0.804925i
$999$	1.12607	+	0.301730i	0.0356274	+	0.00954633i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.bz.b.31.8	yes	36
3.2	odd	2		819.2.fn.g.577.2		36
7.5	odd	6		273.2.bz.a.187.2	yes	36
13.8	odd	4		273.2.bz.a.73.2	✓	36
21.5	even	6		819.2.fn.f.460.8		36
39.8	even	4		819.2.fn.f.73.8		36
91.47	even	12	inner	273.2.bz.b.229.8	yes	36
273.47	odd	12		819.2.fn.g.775.2		36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bz.a.73.2	✓	36	13.8	odd	4
273.2.bz.a.187.2	yes	36	7.5	odd	6
273.2.bz.b.31.8	yes	36	1.1	even	1	trivial
273.2.bz.b.229.8	yes	36	91.47	even	12	inner
819.2.fn.f.73.8		36	39.8	even	4
819.2.fn.f.460.8		36	21.5	even	6
819.2.fn.g.577.2		36	3.2	odd	2
819.2.fn.g.775.2		36	273.47	odd	12

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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.bz (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.93173 + 0.517606i) q^{2} +(0.866025 + 0.500000i) q^{3} +(1.73162 + 0.999754i) q^{4} +(-0.960415 + 3.58432i) q^{5} +(1.41413 + 1.41413i) q^{6} +(-0.534135 - 2.59127i) q^{7} +(-0.000695828 - 0.000695828i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\)	\(q+(1.93173 + 0.517606i) q^{2} +(0.866025 + 0.500000i) q^{3} +(1.73162 + 0.999754i) q^{4} +(-0.960415 + 3.58432i) q^{5} +(1.41413 + 1.41413i) q^{6} +(-0.534135 - 2.59127i) q^{7} +(-0.000695828 - 0.000695828i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-3.71053 + 6.42683i) q^{10} +(4.17027 - 1.11742i) q^{11} +(0.999754 + 1.73162i) q^{12} +(-3.27281 + 1.51284i) q^{13} +(0.309453 - 5.28212i) q^{14} +(-2.62390 + 2.62390i) q^{15} +(-2.00049 - 3.46495i) q^{16} +(3.45527 - 5.98470i) q^{17} +(0.517606 + 1.93173i) q^{18} +(-0.927848 + 3.46278i) q^{19} +(-5.24651 + 5.24651i) q^{20} +(0.833062 - 2.51118i) q^{21} +8.63423 q^{22} +(1.10014 - 0.635166i) q^{23} +(-0.000254691 - 0.000950519i) q^{24} +(-7.59481 - 4.38487i) q^{25} +(-7.10526 + 1.22837i) q^{26} +1.00000i q^{27} +(1.66571 - 5.02112i) q^{28} -4.58181 q^{29} +(-6.42683 + 3.71053i) q^{30} +(5.58556 - 1.49665i) q^{31} +(-2.07042 - 7.72693i) q^{32} +(4.17027 + 1.11742i) q^{33} +(9.77238 - 9.77238i) q^{34} +(9.80094 + 0.574188i) q^{35} +1.99951i q^{36} +(0.301730 - 1.12607i) q^{37} +(-3.58471 + 6.20890i) q^{38} +(-3.59076 - 0.326250i) q^{39} +(0.00316235 - 0.00182579i) q^{40} +(1.44082 + 1.44082i) q^{41} +(2.90905 - 4.41972i) q^{42} +2.89707i q^{43} +(8.33848 + 2.23429i) q^{44} +(-3.58432 + 0.960415i) q^{45} +(2.45394 - 0.657532i) q^{46} +(-10.8796 - 2.91518i) q^{47} -4.00098i q^{48} +(-6.42940 + 2.76818i) q^{49} +(-12.4015 - 12.4015i) q^{50} +(5.98470 - 3.45527i) q^{51} +(-7.17975 - 0.652340i) q^{52} +(0.492123 - 0.852382i) q^{53} +(-0.517606 + 1.93173i) q^{54} +16.0208i q^{55} +(-0.00143141 + 0.00217475i) q^{56} +(-2.53493 + 2.53493i) q^{57} +(-8.85084 - 2.37158i) q^{58} +(3.47528 + 12.9699i) q^{59} +(-7.16687 + 1.92036i) q^{60} +(-11.5658 + 6.67751i) q^{61} +11.5645 q^{62} +(1.97704 - 1.75821i) q^{63} -7.99606i q^{64} +(-2.27924 - 13.1838i) q^{65} +(7.47746 + 4.31711i) q^{66} +(0.841472 + 3.14042i) q^{67} +(11.9665 - 6.90884i) q^{68} +1.27033 q^{69} +(18.6356 + 6.18221i) q^{70} +(0.126450 - 0.126450i) q^{71} +(0.000254691 - 0.000950519i) q^{72} +(-1.61552 - 6.02919i) q^{73} +(1.16573 - 2.01910i) q^{74} +(-4.38487 - 7.59481i) q^{75} +(-5.06861 + 5.06861i) q^{76} +(-5.12303 - 10.2095i) q^{77} +(-6.76752 - 2.48883i) q^{78} +(-1.82586 - 3.16248i) q^{79} +(14.3408 - 3.84261i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(2.03750 + 3.52905i) q^{82} +(-2.62917 - 2.62917i) q^{83} +(3.95311 - 3.51556i) q^{84} +(18.1326 + 18.1326i) q^{85} +(-1.49954 + 5.59637i) q^{86} +(-3.96797 - 2.29091i) q^{87} +(-0.00367932 - 0.00212426i) q^{88} +(10.4136 + 2.79032i) q^{89} -7.42106 q^{90} +(5.66831 + 7.67270i) q^{91} +2.54004 q^{92} +(5.58556 + 1.49665i) q^{93} +(-19.5075 - 11.2627i) q^{94} +(-11.5206 - 6.65141i) q^{95} +(2.07042 - 7.72693i) q^{96} +(3.18768 + 3.18768i) q^{97} +(-13.8527 + 2.01949i) q^{98} +(3.05285 + 3.05285i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 36 q + 4 q^{7} + 18 q^{9}+O(q^{10}) \) 36 * q + 4 * q^7 + 18 * q^9	\( 36 q + 4 q^{7} + 18 q^{9} + 4 q^{11} + 16 q^{12} - 36 q^{14} + 12 q^{16} - 4 q^{17} - 12 q^{19} - 44 q^{20} + 6 q^{21} - 8 q^{22} + 12 q^{23} - 18 q^{24} + 48 q^{25} - 28 q^{26} + 12 q^{28} - 16 q^{29} - 56 q^{32} + 4 q^{33} + 48 q^{34} + 8 q^{35} + 22 q^{37} - 16 q^{38} - 8 q^{39} + 60 q^{40} + 32 q^{41} + 12 q^{42} + 4 q^{44} - 44 q^{46} - 14 q^{47} - 6 q^{49} - 68 q^{50} + 12 q^{51} - 82 q^{52} - 8 q^{53} + 8 q^{56} - 6 q^{57} - 84 q^{58} + 70 q^{59} + 2 q^{60} + 36 q^{61} - 48 q^{62} + 2 q^{63} - 8 q^{65} + 38 q^{67} + 36 q^{68} + 8 q^{69} - 40 q^{70} - 36 q^{71} + 18 q^{72} - 46 q^{73} + 40 q^{74} - 10 q^{75} + 60 q^{76} - 60 q^{77} + 32 q^{78} - 38 q^{80} - 18 q^{81} - 24 q^{83} + 38 q^{84} + 44 q^{85} - 24 q^{86} + 36 q^{87} - 168 q^{88} + 38 q^{89} - 14 q^{91} - 40 q^{92} + 56 q^{96} - 36 q^{97} + 58 q^{98} + 8 q^{99}+O(q^{100}) \) 36 * q + 4 * q^7 + 18 * q^9 + 4 * q^11 + 16 * q^12 - 36 * q^14 + 12 * q^16 - 4 * q^17 - 12 * q^19 - 44 * q^20 + 6 * q^21 - 8 * q^22 + 12 * q^23 - 18 * q^24 + 48 * q^25 - 28 * q^26 + 12 * q^28 - 16 * q^29 - 56 * q^32 + 4 * q^33 + 48 * q^34 + 8 * q^35 + 22 * q^37 - 16 * q^38 - 8 * q^39 + 60 * q^40 + 32 * q^41 + 12 * q^42 + 4 * q^44 - 44 * q^46 - 14 * q^47 - 6 * q^49 - 68 * q^50 + 12 * q^51 - 82 * q^52 - 8 * q^53 + 8 * q^56 - 6 * q^57 - 84 * q^58 + 70 * q^59 + 2 * q^60 + 36 * q^61 - 48 * q^62 + 2 * q^63 - 8 * q^65 + 38 * q^67 + 36 * q^68 + 8 * q^69 - 40 * q^70 - 36 * q^71 + 18 * q^72 - 46 * q^73 + 40 * q^74 - 10 * q^75 + 60 * q^76 - 60 * q^77 + 32 * q^78 - 38 * q^80 - 18 * q^81 - 24 * q^83 + 38 * q^84 + 44 * q^85 - 24 * q^86 + 36 * q^87 - 168 * q^88 + 38 * q^89 - 14 * q^91 - 40 * q^92 + 56 * q^96 - 36 * q^97 + 58 * q^98 + 8 * q^99

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