LMFDB - Embedded newform 192.2.s.a.179.30

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [192,2,Mod(11,192)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(192, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([8, 5, 8]))

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

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

chi := DirichletCharacter("192.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 192 = 2^{6} \cdot 3 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	192.s (of order $16$, degree $8$, 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:	$1.53312771881$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			179.30
Character	$\chi$	$=$	192.179
Dual form			192.2.s.a.59.30

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.40760 - 0.136599i) q^{2} +(-1.71881 - 0.213791i) q^{3} +(1.96268 - 0.384555i) q^{4} +(0.362897 + 1.82441i) q^{5} +(-2.44860 - 0.0661448i) q^{6} +(1.97374 - 0.817550i) q^{7} +(2.71014 - 0.809401i) q^{8} +(2.90859 + 0.734931i) q^{9} +O(q^{10})$	\(q+(1.40760 - 0.136599i) q^{2} +(-1.71881 - 0.213791i) q^{3} +(1.96268 - 0.384555i) q^{4} +(0.362897 + 1.82441i) q^{5} +(-2.44860 - 0.0661448i) q^{6} +(1.97374 - 0.817550i) q^{7} +(2.71014 - 0.809401i) q^{8} +(2.90859 + 0.734931i) q^{9} +(0.760027 + 2.51847i) q^{10} +(1.09638 - 1.64084i) q^{11} +(-3.45568 + 0.241371i) q^{12} +(-0.507536 - 0.100955i) q^{13} +(2.66656 - 1.42040i) q^{14} +(-0.233708 - 3.21339i) q^{15} +(3.70423 - 1.50952i) q^{16} +(-3.76856 + 3.76856i) q^{17} +(4.19452 + 0.637178i) q^{18} +(-7.63588 - 1.51887i) q^{19} +(1.41384 + 3.44118i) q^{20} +(-3.56726 + 0.983241i) q^{21} +(1.31912 - 2.45941i) q^{22} +(-1.55840 - 0.645510i) q^{23} +(-4.83125 + 0.811799i) q^{24} +(1.42263 - 0.589273i) q^{25} +(-0.728198 - 0.0727755i) q^{26} +(-4.84217 - 1.88503i) q^{27} +(3.55943 - 2.36360i) q^{28} +(-4.87885 + 3.25994i) q^{29} +(-0.767914 - 4.49124i) q^{30} +3.85588 q^{31} +(5.00789 - 2.63080i) q^{32} +(-2.23525 + 2.58589i) q^{33} +(-4.78985 + 5.81941i) q^{34} +(2.20781 + 3.30422i) q^{35} +(5.99125 + 0.323924i) q^{36} +(0.101150 + 0.508516i) q^{37} +(-10.9557 - 1.09491i) q^{38} +(0.850772 + 0.282029i) q^{39} +(2.46018 + 4.65067i) q^{40} +(1.45523 - 3.51323i) q^{41} +(-4.88697 + 1.87130i) q^{42} +(-3.41483 + 5.11066i) q^{43} +(1.52084 - 3.64207i) q^{44} +(-0.285296 + 5.57315i) q^{45} +(-2.28178 - 0.695744i) q^{46} +(-7.48879 - 7.48879i) q^{47} +(-6.68958 + 1.80264i) q^{48} +(-1.72249 + 1.72249i) q^{49} +(1.92200 - 1.02379i) q^{50} +(7.28311 - 5.67174i) q^{51} +(-1.03495 - 0.00296732i) q^{52} +(-7.62363 - 5.09395i) q^{53} +(-7.07334 - 1.99194i) q^{54} +(3.39143 + 1.40478i) q^{55} +(4.68739 - 3.81322i) q^{56} +(12.7999 + 4.24313i) q^{57} +(-6.42216 + 5.25514i) q^{58} +(3.71701 - 0.739360i) q^{59} +(-1.69442 - 6.21698i) q^{60} +(11.6071 - 7.75559i) q^{61} +(5.42753 - 0.526710i) q^{62} +(6.34164 - 0.927352i) q^{63} +(6.68974 - 4.38718i) q^{64} -0.962588i q^{65} +(-2.79311 + 3.94524i) q^{66} +(7.63957 + 11.4334i) q^{67} +(-5.94726 + 8.84570i) q^{68} +(2.54058 + 1.44268i) q^{69} +(3.55907 + 4.34944i) q^{70} +(-0.709134 - 1.71200i) q^{71} +(8.47754 - 0.362446i) q^{72} +(4.01217 - 9.68624i) q^{73} +(0.211842 + 0.701971i) q^{74} +(-2.57121 + 0.708700i) q^{75} +(-15.5709 - 0.0446433i) q^{76} +(0.822490 - 4.13494i) q^{77} +(1.23607 + 0.280769i) q^{78} +(-7.75429 - 7.75429i) q^{79} +(4.09823 + 6.21023i) q^{80} +(7.91975 + 4.27522i) q^{81} +(1.56848 - 5.14402i) q^{82} +(-3.08519 + 15.5103i) q^{83} +(-6.62328 + 3.30160i) q^{84} +(-8.24299 - 5.50779i) q^{85} +(-4.10861 + 7.66023i) q^{86} +(9.08273 - 4.56015i) q^{87} +(1.64323 - 5.33432i) q^{88} +(2.28499 + 5.51645i) q^{89} +(0.359707 + 7.88374i) q^{90} +(-1.08428 + 0.215677i) q^{91} +(-3.30688 - 0.667640i) q^{92} +(-6.62750 - 0.824352i) q^{93} +(-11.5642 - 9.51827i) q^{94} -14.4821i q^{95} +(-9.17002 + 3.45118i) q^{96} +12.5201i q^{97} +(-2.18928 + 2.65986i) q^{98} +(4.39481 - 3.96677i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{15}{16}\right)$

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 $

$2$	1.40760	−	0.136599i	0.995324	−	0.0965904i
$2$	1.40760	−	0.136599i	0.995324	−	0.0965904i
$3$	−1.71881	−	0.213791i	−0.992353	−	0.123432i
$3$	−1.71881	−	0.213791i	−0.992353	−	0.123432i
$4$	1.96268	−	0.384555i	0.981341	−	0.192278i
$5$	0.362897	+	1.82441i	0.162293	+	0.815900i	0.973064	+	0.230536i	$0.0740481\pi$
$5$	0.362897	+	1.82441i	0.162293	+	0.815900i	−0.810771	+	0.585363i	$0.800952\pi$
$6$	−2.44860	−	0.0661448i	−0.999635	−	0.0270035i
$7$	1.97374	−	0.817550i	0.746004	−	0.309005i	0.0228938	−	0.999738i	$-0.492712\pi$
$7$	1.97374	−	0.817550i	0.746004	−	0.309005i	0.723110	+	0.690733i	$0.242712\pi$
$8$	2.71014	−	0.809401i	0.958180	−	0.286167i
$9$	2.90859	+	0.734931i	0.969529	+	0.244977i
$10$	0.760027	+	2.51847i	0.240342	+	0.796409i
$11$	1.09638	−	1.64084i	0.330570	−	0.494732i	−0.628536	−	0.777780i	$-0.716346\pi$
$11$	1.09638	−	1.64084i	0.330570	−	0.494732i	0.959106	+	0.283048i	$0.0913456\pi$
$12$	−3.45568	+	0.241371i	−0.997570	+	0.0696779i
$13$	−0.507536	−	0.100955i	−0.140765	−	0.0279999i	0.124205	−	0.992257i	$-0.460362\pi$
$13$	−0.507536	−	0.100955i	−0.140765	−	0.0279999i	−0.264970	+	0.964257i	$0.585362\pi$
$14$	2.66656	−	1.42040i	0.712669	−	0.379617i
$15$	−0.233708	−	3.21339i	−0.0603430	−	0.829693i
$16$	3.70423	−	1.50952i	0.926059	−	0.377379i
$17$	−3.76856	+	3.76856i	−0.914010	+	0.914010i	−0.996585	−	0.0825747i	$-0.973686\pi$
$17$	−3.76856	+	3.76856i	−0.914010	+	0.914010i	0.0825747	+	0.996585i	$0.473686\pi$
$18$	4.19452	+	0.637178i	0.988658	+	0.150184i
$19$	−7.63588	−	1.51887i	−1.75179	−	0.348453i	−0.788115	−	0.615528i	$-0.788943\pi$
$19$	−7.63588	−	1.51887i	−1.75179	−	0.348453i	−0.963676	+	0.267076i	$0.913943\pi$
$20$	1.41384	+	3.44118i	0.316143	+	0.769470i
$21$	−3.56726	+	0.983241i	−0.778440	+	0.214561i
$22$	1.31912	−	2.45941i	0.281238	−	0.524349i
$23$	−1.55840	−	0.645510i	−0.324949	−	0.134598i	0.214245	−	0.976780i	$-0.431271\pi$
$23$	−1.55840	−	0.645510i	−0.324949	−	0.134598i	−0.539194	+	0.842182i	$0.681271\pi$
$24$	−4.83125	+	0.811799i	−0.986175	+	0.165708i
$25$	1.42263	−	0.589273i	0.284526	−	0.117855i
$26$	−0.728198	−	0.0727755i	−0.142811	−	0.0142724i
$27$	−4.84217	−	1.88503i	−0.931877	−	0.362775i
$28$	3.55943	−	2.36360i	0.672669	−	0.446679i
$29$	−4.87885	+	3.25994i	−0.905979	+	0.605356i	−0.918870	−	0.394561i	$-0.870897\pi$
$29$	−4.87885	+	3.25994i	−0.905979	+	0.605356i	0.0128908	+	0.999917i	$0.495897\pi$
$30$	−0.767914	−	4.49124i	−0.140201	−	0.819985i
$31$	3.85588			0.692536			0.346268	−	0.938136i	$-0.387449\pi$
$31$	3.85588			0.692536			0.346268	+	0.938136i	$0.387449\pi$
$32$	5.00789	−	2.63080i	0.885277	−	0.465063i
$33$	−2.23525	+	2.58589i	−0.389108	+	0.450146i
$34$	−4.78985	+	5.81941i	−0.821452	+	0.998021i
$35$	2.20781	+	3.30422i	0.373188	+	0.558515i
$36$	5.99125	+	0.323924i	0.998542	+	0.0539873i
$37$	0.101150	+	0.508516i	0.0166290	+	0.0835995i	0.988209	−	0.153113i	$-0.0489299\pi$
$37$	0.101150	+	0.508516i	0.0166290	+	0.0835995i	−0.971580	+	0.236713i	$0.923930\pi$
$38$	−10.9557	−	1.09491i	−1.77726	−	0.177617i
$39$	0.850772	+	0.282029i	0.136233	+	0.0451608i
$40$	2.46018	+	4.65067i	0.388989	+	0.735336i
$41$	1.45523	−	3.51323i	0.227269	−	0.548675i	−0.768574	−	0.639760i	$-0.779034\pi$
$41$	1.45523	−	3.51323i	0.227269	−	0.548675i	0.995843	+	0.0910853i	$0.0290336\pi$
$42$	−4.88697	+	1.87130i	−0.754076	+	0.288747i
$43$	−3.41483	+	5.11066i	−0.520757	+	0.779368i	−0.994877	−	0.101092i	$-0.967766\pi$
$43$	−3.41483	+	5.11066i	−0.520757	+	0.779368i	0.474120	+	0.880460i	$0.342766\pi$
$44$	1.52084	−	3.64207i	0.229275	−	0.549062i
$45$	−0.285296	+	5.57315i	−0.0425294	+	0.830796i
$46$	−2.28178	−	0.695744i	−0.336430	−	0.102582i
$47$	−7.48879	−	7.48879i	−1.09235	−	1.09235i	−0.995277	−	0.0970756i	$-0.969051\pi$
$47$	−7.48879	−	7.48879i	−1.09235	−	1.09235i	−0.0970756	−	0.995277i	$-0.530949\pi$
$48$	−6.68958	+	1.80264i	−0.965558	+	0.260188i
$49$	−1.72249	+	1.72249i	−0.246069	+	0.246069i
$50$	1.92200	−	1.02379i	0.271812	−	0.144786i
$51$	7.28311	−	5.67174i	1.01984	−	0.794202i
$52$	−1.03495	−	0.00296732i	−0.143522	−	0.000411493i
$53$	−7.62363	−	5.09395i	−1.04719	−	0.699708i	−0.0920141	−	0.995758i	$-0.529330\pi$
$53$	−7.62363	−	5.09395i	−1.04719	−	0.699708i	−0.955172	+	0.296050i	$0.904330\pi$
$54$	−7.07334	−	1.99194i	−0.962560	−	0.271068i
$55$	3.39143	+	1.40478i	0.457301	+	0.189420i
$56$	4.68739	−	3.81322i	0.626379	−	0.509563i
$57$	12.7999	+	4.24313i	1.69538	+	0.562016i
$58$	−6.42216	+	5.25514i	−0.843271	+	0.690034i
$59$	3.71701	−	0.739360i	0.483914	−	0.0962564i	0.0528963	−	0.998600i	$-0.483155\pi$
$59$	3.71701	−	0.739360i	0.483914	−	0.0962564i	0.431017	+	0.902344i	$0.358155\pi$
$60$	−1.69442	−	6.21698i	−0.218748	−	0.802608i
$61$	11.6071	−	7.75559i	1.48613	−	0.993001i	0.493776	−	0.869589i	$-0.335616\pi$
$61$	11.6071	−	7.75559i	1.48613	−	0.993001i	0.992356	−	0.123412i	$-0.0393837\pi$
$62$	5.42753	−	0.526710i	0.689297	−	0.0668923i
$63$	6.34164	−	0.927352i	0.798971	−	0.116835i
$64$	6.68974	−	4.38718i	0.836217	−	0.548398i
$65$		−	0.962588i		−	0.119394i
$66$	−2.79311	+	3.94524i	−0.343809	+	0.485625i
$67$	7.63957	+	11.4334i	0.933322	+	1.39682i	0.917847	+	0.396935i	$0.129926\pi$
$67$	7.63957	+	11.4334i	0.933322	+	1.39682i	0.0154756	+	0.999880i	$0.495074\pi$
$68$	−5.94726	+	8.84570i	−0.721212	+	1.07270i
$69$	2.54058	+	1.44268i	0.305850	+	0.173678i
$70$	3.55907	+	4.34944i	0.425390	+	0.519857i
$71$	−0.709134	−	1.71200i	−0.0841587	−	0.203177i	0.876198	−	0.481951i	$-0.160072\pi$
$71$	−0.709134	−	1.71200i	−0.0841587	−	0.203177i	−0.960357	+	0.278774i	$0.910072\pi$
$72$	8.47754	−	0.362446i	0.999087	−	0.0427147i
$73$	4.01217	−	9.68624i	0.469589	−	1.13369i	−0.494754	−	0.869033i	$-0.664742\pi$
$73$	4.01217	−	9.68624i	0.469589	−	1.13369i	0.964343	−	0.264656i	$-0.0852583\pi$
$74$	0.211842	+	0.701971i	0.0246261	+	0.0816024i
$75$	−2.57121	+	0.708700i	−0.296897	+	0.0818336i
$76$	−15.5709	−	0.0446433i	−1.78610	−	0.00512094i
$77$	0.822490	−	4.13494i	0.0937314	−	0.471220i
$78$	1.23607	+	0.280769i	0.139958	+	0.0317909i
$79$	−7.75429	−	7.75429i	−0.872426	−	0.872426i	0.120310	−	0.992736i	$-0.461611\pi$
$79$	−7.75429	−	7.75429i	−0.872426	−	0.872426i	−0.992736	+	0.120310i	$0.961611\pi$
$80$	4.09823	+	6.21023i	0.458196	+	0.694325i
$81$	7.91975	+	4.27522i	0.879972	+	0.475025i
$82$	1.56848	−	5.14402i	0.173209	−	0.568062i
$83$	−3.08519	+	15.5103i	−0.338644	+	1.70248i	0.317847	+	0.948142i	$0.397040\pi$
$83$	−3.08519	+	15.5103i	−0.338644	+	1.70248i	−0.656491	+	0.754334i	$0.727960\pi$
$84$	−6.62328	+	3.30160i	−0.722660	+	0.360234i
$85$	−8.24299	−	5.50779i	−0.894078	−	0.597404i
$86$	−4.10861	+	7.66023i	−0.443043	+	0.826024i
$87$	9.08273	−	4.56015i	0.973771	−	0.488899i
$88$	1.64323	−	5.33432i	0.175169	−	0.568641i
$89$	2.28499	+	5.51645i	0.242208	+	0.584742i	0.997502	−	0.0706445i	$-0.0225056\pi$
$89$	2.28499	+	5.51645i	0.242208	+	0.584742i	−0.755293	+	0.655387i	$0.772506\pi$
$90$	0.359707	+	7.88374i	0.0379164	+	0.831020i
$91$	−1.08428	+	0.215677i	−0.113663	+	0.0226091i
$92$	−3.30688	−	0.667640i	−0.344766	−	0.0696063i
$93$	−6.62750	−	0.824352i	−0.687240	−	0.0854813i
$94$	−11.5642	−	9.51827i	−1.19276	−	0.981734i
$95$		−	14.4821i		−	1.48584i
$96$	−9.17002	+	3.45118i	−0.935912	+	0.352235i
$97$			12.5201i			1.27122i	0.772009	+	0.635611i	$0.219252\pi$
$97$			12.5201i			1.27122i	−0.772009	+	0.635611i	$0.780748\pi$
$98$	−2.18928	+	2.65986i	−0.221151	+	0.268687i
$99$	4.39481	−	3.96677i	0.441695	−	0.398675i
$100$	2.56556	−	1.70363i	0.256556	−	0.170363i
$101$	3.99999	−	0.795648i	0.398014	−	0.0791699i	0.00797492	−	0.999968i	$-0.497461\pi$
$101$	3.99999	−	0.795648i	0.398014	−	0.0791699i	0.390039	+	0.920798i	$0.372461\pi$
$102$	9.47695	−	8.97841i	0.938358	−	0.888995i
$103$	4.99967	+	12.0703i	0.492633	+	1.18932i	0.953376	+	0.301787i	$0.0975830\pi$
$103$	4.99967	+	12.0703i	0.492633	+	1.18932i	−0.460743	+	0.887534i	$0.652417\pi$
$104$	−1.45721	+	0.137197i	−0.142891	+	0.0134533i
$105$	−3.08838	−	6.15132i	−0.301395	−	0.600307i
$106$	−11.4269	−	6.12886i	−1.10988	−	0.595288i
$107$	−4.87267	−	3.25581i	−0.471059	−	0.314751i	0.297285	−	0.954789i	$-0.403919\pi$
$107$	−4.87267	−	3.25581i	−0.471059	−	0.314751i	−0.768344	+	0.640037i	$0.778919\pi$
$108$	−10.2285	−	1.83764i	−0.984242	−	0.176827i
$109$	0.592278	−	2.97758i	0.0567300	−	0.285201i	−0.941998	−	0.335618i	$-0.891055\pi$
$109$	0.592278	−	2.97758i	0.0567300	−	0.285201i	0.998728	+	0.0504168i	$0.0160550\pi$
$110$	4.96568	+	1.51410i	0.473459	+	0.144364i
$111$	−0.0651412	−	0.895665i	−0.00618293	−	0.0850128i
$112$	6.07709	−	6.00779i	0.574231	−	0.567683i
$113$	−0.362204	−	0.362204i	−0.0340733	−	0.0340733i	0.689865	−	0.723938i	$-0.257670\pi$
$113$	−0.362204	−	0.362204i	−0.0340733	−	0.0340733i	−0.723938	+	0.689865i	$0.757670\pi$
$114$	18.5967	+	4.22417i	1.74174	+	0.395630i
$115$	0.612135	−	3.07741i	0.0570819	−	0.286970i
$116$	−8.32199	+	8.27441i	−0.772678	+	0.768259i
$117$	−1.40202	−	0.666641i	−0.129617	−	0.0616310i
$118$	5.13107	−	1.54847i	0.472354	−	0.142548i
$119$	−4.35717	+	10.5191i	−0.399421	+	0.964288i
$120$	−3.23430	−	8.51957i	−0.295250	−	0.777727i
$121$	2.71920	+	6.56472i	0.247200	+	0.596793i
$122$	15.2787	−	12.5023i	1.38327	−	1.13190i
$123$	−3.25236	+	5.72745i	−0.293255	+	0.516427i
$124$	7.56785	−	1.48280i	0.679613	−	0.133159i
$125$	6.75856	+	10.1149i	0.604504	+	0.904704i
$126$	8.79982	−	2.17161i	0.783950	−	0.193462i
$127$			2.57191i			0.228220i	0.993468	+	0.114110i	$0.0364017\pi$
$127$			2.57191i			0.228220i	−0.993468	+	0.114110i	$0.963598\pi$
$128$	8.81720	−	7.08922i	0.779337	−	0.626604i
$129$	6.96205	−	8.05417i	0.612974	−	0.709130i
$130$	−0.131489	−	1.35494i	−0.0115324	−	0.118836i
$131$	10.2282	−	6.83426i	0.893642	−	0.597112i	−0.0217115	−	0.999764i	$-0.506912\pi$
$131$	10.2282	−	6.83426i	0.893642	−	0.597112i	0.915353	+	0.402652i	$0.131912\pi$
$132$	−3.39267	+	5.93486i	−0.295294	+	0.516563i
$133$	−16.3130	+	3.24485i	−1.41452	+	0.281365i
$134$	12.3153	+	15.0501i	1.06388	+	1.30013i
$135$	1.68186	−	9.51817i	0.144751	−	0.819194i
$136$	−7.16306	+	13.2636i	−0.614227	+	1.13735i
$137$	6.81207	+	2.82165i	0.581994	+	0.241070i	0.654202	−	0.756320i	$-0.273005\pi$
$137$	6.81207	+	2.82165i	0.581994	+	0.241070i	−0.0722080	+	0.997390i	$0.523005\pi$
$138$	3.77320	+	1.68367i	0.321196	+	0.143324i
$139$	−0.0836883	−	0.0559187i	−0.00709835	−	0.00474296i	0.552016	−	0.833834i	$-0.313859\pi$
$139$	−0.0836883	−	0.0559187i	−0.00709835	−	0.00474296i	−0.559114	+	0.829091i	$0.688859\pi$
$140$	5.60388	+	5.63610i	0.473614	+	0.476338i
$141$	11.2707	+	14.4728i	0.949168	+	1.21883i
$142$	−1.23204	−	2.31295i	−0.103390	−	0.194098i
$143$	−0.722101	+	0.722101i	−0.0603851	+	0.0603851i
$144$	11.8835	−	1.66821i	0.990290	−	0.139017i
$145$	−7.71798	−	7.71798i	−0.640943	−	0.640943i
$146$	4.32440	−	14.1824i	0.357890	−	1.17375i
$147$	3.32887	−	2.59237i	0.274561	−	0.213815i
$148$	0.394078	+	0.959157i	0.0323930	+	0.0788422i
$149$	13.1608	−	19.6966i	1.07818	−	1.61360i	0.338061	−	0.941124i	$-0.390229\pi$
$149$	13.1608	−	19.6966i	1.07818	−	1.61360i	0.740115	−	0.672480i	$-0.234771\pi$
$150$	−3.52242	+	1.34879i	−0.287605	+	0.110128i
$151$	−4.58571	+	11.0709i	−0.373180	+	0.900937i	0.620027	+	0.784580i	$0.287121\pi$
$151$	−4.58571	+	11.0709i	−0.373180	+	0.900937i	−0.993208	+	0.116356i	$0.962879\pi$
$152$	−21.9237	+	2.06413i	−1.77825	+	0.167423i
$153$	−13.7308	+	8.19155i	−1.11007	+	0.662248i
$154$	0.592908	−	5.93269i	0.0477779	−	0.478070i
$155$	1.39929	+	7.03469i	0.112393	+	0.565040i
$156$	1.77825	+	0.226364i	0.142374	+	0.0181236i
$157$	−12.9843	−	19.4324i	−1.03626	−	1.55087i	−0.818196	−	0.574940i	$-0.805026\pi$
$157$	−12.9843	−	19.4324i	−1.03626	−	1.55087i	−0.218065	−	0.975934i	$-0.569974\pi$
$158$	−11.9742	−	9.85572i	−0.952615	−	0.784079i
$159$	12.0145	+	10.3854i	0.952812	+	0.823614i
$160$	6.61699	+	8.18171i	0.523119	+	0.646821i
$161$	−3.60361			−0.284004
$162$	11.7318	+	4.93597i	0.921741	+	0.387807i
$163$	2.74851	−	1.83650i	0.215280	−	0.143846i	−0.443255	−	0.896396i	$-0.646176\pi$
$163$	2.74851	−	1.83650i	0.215280	−	0.143846i	0.658535	+	0.752550i	$0.271176\pi$
$164$	1.50512	−	7.45497i	0.117530	−	0.582136i
$165$	−5.52889	−	3.13960i	−0.430423	−	0.244418i
$166$	−2.22402	+	22.2537i	−0.172617	+	1.72723i
$167$	−10.5897	+	4.38640i	−0.819456	+	0.339430i	−0.752720	−	0.658341i	$-0.771258\pi$
$167$	−10.5897	+	4.38640i	−0.819456	+	0.339430i	−0.0667358	+	0.997771i	$0.521258\pi$
$168$	−8.87195	+	5.55207i	−0.684486	+	0.428351i
$169$	−11.7630	−	4.87241i	−0.904849	−	0.374801i
$170$	−12.3552	−	6.62678i	−0.947601	−	0.508251i
$171$	−21.0933	−	10.0296i	−1.61305	−	0.766983i
$172$	−4.73690	+	11.3438i	−0.361185	+	0.864956i
$173$	0.832469	+	0.165588i	0.0632914	+	0.0125894i	0.226634	−	0.973980i	$-0.427228\pi$
$173$	0.832469	+	0.165588i	0.0632914	+	0.0125894i	−0.163343	+	0.986569i	$0.552228\pi$
$174$	12.1620	−	7.65957i	0.921995	−	0.580670i
$175$	2.32614	−	2.32614i	0.175840	−	0.175840i
$176$	1.58435	−	7.73306i	0.119425	−	0.582901i
$177$	−6.54689	+	0.476151i	−0.492094	+	0.0357897i
$178$	3.96989	+	7.45283i	0.297556	+	0.558613i
$179$	4.97685	+	0.989957i	0.371987	+	0.0739929i	0.377544	−	0.925992i	$-0.376769\pi$
$179$	4.97685	+	0.989957i	0.371987	+	0.0739929i	−0.00555666	+	0.999985i	$0.501769\pi$
$180$	1.58324	+	11.0480i	0.118008	+	0.823472i
$181$	4.65367	−	6.96471i	0.345905	−	0.517683i	−0.617201	−	0.786805i	$-0.711734\pi$
$181$	4.65367	−	6.96471i	0.345905	−	0.517683i	0.963106	+	0.269122i	$0.0867336\pi$
$182$	−1.49677	+	0.451699i	−0.110948	+	0.0334821i
$183$	−21.6084	+	10.8489i	−1.59734	+	0.801971i
$184$	−4.74596	−	0.488054i	−0.349877	−	0.0359798i
$185$	−0.891033	+	0.369078i	−0.0655101	+	0.0271352i
$186$	−9.44148	−	0.255046i	−0.692283	−	0.0187009i
$187$	2.05185	+	10.3154i	0.150046	+	0.754334i
$188$	−17.5780	−	11.8183i	−1.28200	−	0.861935i
$189$	−11.0983	+	0.238151i	−0.807283	+	0.0173230i
$190$	−1.97825	−	20.3851i	−0.143518	−	1.47889i
$191$	8.09446			0.585694			0.292847	−	0.956159i	$-0.405397\pi$
$191$	8.09446			0.585694			0.292847	+	0.956159i	$0.405397\pi$
$192$	−12.4363	+	6.11051i	−0.897513	+	0.440988i
$193$	−1.89782			−0.136608			−0.0683039	−	0.997665i	$-0.521759\pi$
$193$	−1.89782			−0.136608			−0.0683039	+	0.997665i	$0.521759\pi$
$194$	1.71024	+	17.6233i	0.122788	+	1.26528i
$195$	−0.205793	+	1.65450i	−0.0147371	+	0.118481i
$196$	−2.71830	+	4.04308i	−0.194164	+	0.288792i
$197$	−2.44370	−	12.2853i	−0.174107	−	0.875293i	−0.964781	−	0.263056i	$-0.915270\pi$
$197$	−2.44370	−	12.2853i	−0.174107	−	0.875293i	0.790674	−	0.612237i	$-0.209730\pi$
$198$	5.64428	−	6.18396i	0.401121	−	0.439475i
$199$	15.9361	−	6.60095i	1.12968	−	0.467929i	0.262008	−	0.965066i	$-0.415615\pi$
$199$	15.9361	−	6.60095i	1.12968	−	0.467929i	0.867672	+	0.497137i	$0.165615\pi$
$200$	3.37857	−	2.74849i	0.238901	−	0.194348i
$201$	−10.6866	−	21.2851i	−0.753773	−	1.50134i
$202$	5.52171	−	1.66635i	0.388506	−	0.117244i
$203$	−6.96441	+	10.4230i	−0.488806	+	0.731549i
$204$	12.1133	−	13.9326i	0.848102	−	0.975475i
$205$	6.93767	+	1.37999i	0.484548	+	0.0963826i
$206$	8.68634	+	16.3072i	0.605206	+	1.13618i
$207$	−4.05834	−	3.02284i	−0.282074	−	0.210102i
$208$	−2.03243	+	0.392173i	−0.140923	+	0.0271923i
$209$	−10.8640	+	10.8640i	−0.751479	+	0.751479i
$210$	−5.18748	−	8.23673i	−0.357970	−	0.568389i
$211$	−8.62576	−	1.71577i	−0.593822	−	0.118118i	−0.110975	−	0.993823i	$-0.535397\pi$
$211$	−8.62576	−	1.71577i	−0.593822	−	0.118118i	−0.482847	+	0.875705i	$0.660397\pi$
$212$	−16.9217	−	7.06609i	−1.16218	−	0.485301i
$213$	0.852853	+	3.09420i	0.0584365	+	0.212011i
$214$	−7.30352	−	3.91728i	−0.499258	−	0.267780i
$215$	−10.5632	−	4.37540i	−0.720401	−	0.298400i
$216$	−14.6487	−	1.18945i	−0.996720	−	0.0809317i
$217$	7.61049	−	3.15237i	0.516634	−	0.213997i
$218$	0.426955	−	4.27216i	0.0289171	−	0.289347i
$219$	−8.96698	+	15.7910i	−0.605932	+	1.06706i
$220$	7.19652	+	1.45294i	0.485189	+	0.0979571i
$221$	2.29314	−	1.53222i	0.154253	−	0.103069i
$222$	−0.214040	−	1.25184i	−0.0143654	−	0.0840181i
$223$	−18.9668			−1.27011			−0.635055	−	0.772467i	$-0.719023\pi$
$223$	−18.9668			−1.27011			−0.635055	+	0.772467i	$0.719023\pi$
$224$	7.73346	−	9.28670i	0.516713	−	0.620494i
$225$	4.57092	−	0.668416i	0.304728	−	0.0445610i
$226$	−0.559316	−	0.460362i	−0.0372052	−	0.0306229i
$227$	7.88840	+	11.8058i	0.523572	+	0.783580i	0.995163	−	0.0982368i	$-0.0313203\pi$
$227$	7.88840	+	11.8058i	0.523572	+	0.783580i	−0.471591	+	0.881817i	$0.656320\pi$
$228$	26.7538	+	3.40565i	1.77181	+	0.225545i
$229$	4.12468	+	20.7362i	0.272566	+	1.37028i	0.838081	+	0.545546i	$0.183678\pi$
$229$	4.12468	+	20.7362i	0.272566	+	1.37028i	−0.565515	+	0.824738i	$0.691322\pi$
$230$	0.441269	−	4.41538i	0.0290964	−	0.291142i
$231$	−2.29771	+	6.93131i	−0.151178	+	0.456047i
$232$	−10.5838	+	12.7838i	−0.694858	+	0.839301i
$233$	−3.75619	+	9.06826i	−0.246076	+	0.594081i	−0.997864	−	0.0653241i	$-0.979192\pi$
$233$	−3.75619	+	9.06826i	−0.246076	+	0.594081i	0.751788	+	0.659405i	$0.229192\pi$
$234$	−2.06454	−	0.746849i	−0.134963	−	0.0488231i
$235$	10.9449	−	16.3803i	0.713970	−	1.06853i
$236$	7.01099	−	2.88052i	0.456376	−	0.187506i
$237$	11.6703	+	14.9859i	0.758069	+	0.973441i
$238$	−4.69625	+	15.4019i	−0.304413	+	0.998360i
$239$	17.5344	+	17.5344i	1.13421	+	1.13421i	0.989470	+	0.144736i	$0.0462334\pi$
$239$	17.5344	+	17.5344i	1.13421	+	1.13421i	0.144736	+	0.989470i	$0.453767\pi$
$240$	−5.71637	−	11.5504i	−0.368990	−	0.745572i
$241$	−2.19299	+	2.19299i	−0.141263	+	0.141263i	−0.774202	−	0.632939i	$-0.781848\pi$
$241$	−2.19299	+	2.19299i	−0.141263	+	0.141263i	0.632939	+	0.774202i	$0.281848\pi$
$242$	4.72428	+	8.86906i	0.303688	+	0.570125i
$243$	−12.6985	−	9.04145i	−0.814610	−	0.580009i
$244$	19.7985	−	19.6853i	1.26747	−	1.26022i
$245$	−3.76760	−	2.51743i	−0.240703	−	0.160833i
$246$	−3.79565	+	8.50624i	−0.242002	+	0.542338i
$247$	3.72214	+	1.54176i	0.236834	+	0.0981000i
$248$	10.4500	−	3.12095i	0.663574	−	0.198181i
$249$	8.61881	−	25.9996i	0.546195	−	1.64766i
$250$	10.8950	+	13.3145i	0.689063	+	0.842085i
$251$	5.08945	−	1.01235i	0.321243	−	0.0638993i	−0.0318347	−	0.999493i	$-0.510135\pi$
$251$	5.08945	−	1.01235i	0.321243	−	0.0638993i	0.353078	+	0.935594i	$0.385135\pi$
$252$	12.0900	−	4.25880i	0.761598	−	0.268279i
$253$	−2.76777	+	1.84937i	−0.174008	+	0.116269i
$254$	0.351322	+	3.62023i	0.0220439	+	0.227153i
$255$	12.9906	+	11.2291i	0.813502	+	0.703193i
$256$	11.4427	−	11.1832i	0.715169	−	0.698951i
$257$		−	13.9371i		−	0.869372i	−0.900582	−	0.434686i	$-0.856859\pi$
$257$		−	13.9371i		−	0.869372i	0.900582	−	0.434686i	$-0.143141\pi$
$258$	8.69959	−	12.2881i	0.541613	−	0.765022i
$259$	0.615381	+	0.920983i	0.0382379	+	0.0572271i
$260$	−0.370168	−	1.88925i	−0.0229569	−	0.117167i
$261$	−16.5864	+	5.89620i	−1.02667	+	0.364966i
$262$	13.4637	−	11.0171i	0.831788	−	0.680637i
$263$	−1.79117	−	4.32427i	−0.110448	−	0.266646i	0.858985	−	0.512001i	$-0.171096\pi$
$263$	−1.79117	−	4.32427i	−0.110448	−	0.266646i	−0.969433	+	0.245355i	$0.921096\pi$
$264$	−3.96483	+	8.81735i	−0.244018	+	0.542671i
$265$	6.52684	−	15.7572i	0.400941	−	0.967957i
$266$	−22.5189	+	6.79581i	−1.38072	+	0.416678i
$267$	−2.74808	−	9.97021i	−0.168180	−	0.610167i
$268$	19.3908	+	19.5023i	1.18448	+	1.19129i
$269$	2.03650	−	10.2382i	0.124168	−	0.624233i	−0.867713	−	0.497065i	$-0.834411\pi$
$269$	2.03650	−	10.2382i	0.124168	−	0.624233i	0.991881	−	0.127168i	$-0.0405889\pi$
$270$	1.06721	−	13.6275i	0.0649483	−	0.829345i
$271$	−9.97607	−	9.97607i	−0.606003	−	0.606003i	0.335896	−	0.941899i	$-0.390961\pi$
$271$	−9.97607	−	9.97607i	−0.606003	−	0.606003i	−0.941899	+	0.335896i	$0.890961\pi$
$272$	−8.27092	+	19.6483i	−0.501498	+	1.19136i
$273$	1.90978	−	0.138897i	0.115585	−	0.00840642i
$274$	9.97411	+	3.04123i	0.602558	+	0.183728i
$275$	0.592833	−	2.98037i	0.0357492	−	0.179723i
$276$	5.54114	+	1.85453i	0.333538	+	0.111629i
$277$	15.8016	+	10.5583i	0.949427	+	0.634387i	0.930835	−	0.365441i	$-0.119082\pi$
$277$	15.8016	+	10.5583i	0.949427	+	0.634387i	0.0185919	+	0.999827i	$0.494082\pi$
$278$	−0.125438	−	0.0672795i	−0.00752328	−	0.00403515i
$279$	11.2151	+	2.83380i	0.671433	+	0.169655i
$280$	8.65791	+	7.16790i	0.517409	+	0.428364i
$281$	0.105849	+	0.255543i	0.00631444	+	0.0152444i	0.927005	−	0.375048i	$-0.122374\pi$
$281$	0.105849	+	0.255543i	0.00631444	+	0.0152444i	−0.920691	+	0.390293i	$0.872374\pi$
$282$	17.8417	+	18.8324i	1.06246	+	1.12145i
$283$	6.47086	−	1.28713i	0.384653	−	0.0765121i	0.00102359	−	0.999999i	$-0.499674\pi$
$283$	6.47086	−	1.28713i	0.384653	−	0.0765121i	0.383629	+	0.923487i	$0.374674\pi$
$284$	−2.05016	−	3.08741i	−0.121655	−	0.183204i
$285$	−3.09615	+	24.8920i	−0.183400	+	1.47447i
$286$	−0.917792	+	1.11507i	−0.0542702	+	0.0659354i
$287$		−	8.12393i		−	0.479541i
$288$	16.4993	−	3.97145i	0.972232	−	0.234020i
$289$		−	11.4041i		−	0.670829i
$290$	−11.9181	−	9.80956i	−0.699855	−	0.576037i
$291$	2.67668	−	21.5196i	0.156910	−	1.26150i
$292$	4.14972	−	20.5539i	0.242844	−	1.20283i
$293$	5.24629	−	1.04355i	0.306492	−	0.0609650i	−0.0394483	−	0.999222i	$-0.512560\pi$
$293$	5.24629	−	1.04355i	0.306492	−	0.0609650i	0.345940	+	0.938257i	$0.387560\pi$
$294$	4.33161	−	4.10374i	0.252624	−	0.239335i
$295$	2.69779	+	6.51303i	0.157071	+	0.379203i
$296$	0.685725	+	1.29628i	0.0398569	+	0.0753447i
$297$	−8.40188	+	5.87854i	−0.487527	+	0.341107i
$298$	15.8346	−	29.5226i	0.917276	−	1.71020i
$299$	0.725776	+	0.484948i	0.0419727	+	0.0280453i
$300$	−4.77392	+	2.37972i	−0.275623	+	0.137393i
$301$	−2.56177	+	12.8789i	−0.147658	+	0.742328i
$302$	−4.94258	+	16.2098i	−0.284413	+	0.932770i
$303$	−7.04531	+	0.512401i	−0.404743	+	0.0294367i
$304$	−30.5778	+	5.90024i	−1.75376	+	0.338402i
$305$	18.3615	+	18.3615i	1.05138	+	1.05138i
$306$	−18.2086	+	13.4061i	−1.04091	+	0.766373i
$307$	0.709917	−	3.56899i	0.0405171	−	0.203693i	−0.955224	−	0.295882i	$-0.904386\pi$
$307$	0.709917	−	3.56899i	0.0405171	−	0.203693i	0.995742	+	0.0921890i	$0.0293864\pi$
$308$	0.0241750	−	8.43185i	0.00137750	−	0.480449i
$309$	−6.01295	−	21.8154i	−0.342065	−	1.24103i
$310$	2.93057	+	9.71089i	0.166445	+	0.551541i
$311$	3.57566	−	8.63240i	0.202757	−	0.489499i	−0.789493	−	0.613760i	$-0.789656\pi$
$311$	3.57566	−	8.63240i	0.202757	−	0.489499i	0.992249	+	0.124262i	$0.0396562\pi$
$312$	2.53399	+	0.0757226i	0.143459	+	0.00428695i
$313$	1.24313	+	3.00117i	0.0702657	+	0.169636i	0.955111	−	0.296249i	$-0.0957359\pi$
$313$	1.24313	+	3.00117i	0.0702657	+	0.169636i	−0.884845	+	0.465886i	$0.845736\pi$
$314$	−20.9312	−	25.5794i	−1.18121	−	1.44353i
$315$	3.99323	+	11.2332i	0.224993	+	0.632919i
$316$	−18.2012	−	12.2373i	−1.02390	−	0.688399i
$317$	7.72378	+	11.5595i	0.433811	+	0.649244i	0.982387	−	0.186857i	$-0.0598300\pi$
$317$	7.72378	+	11.5595i	0.433811	+	0.649244i	−0.548576	+	0.836101i	$0.684830\pi$
$318$	18.3303	+	12.9773i	1.02791	+	0.727730i
$319$			11.5795i			0.648329i
$320$	10.4317	+	10.6127i	0.583150	+	0.593269i
$321$	7.67911	+	6.63785i	0.428606	+	0.370488i
$322$	−5.07245	+	0.492252i	−0.282677	+	0.0274321i
$323$	34.5002	−	23.0523i	1.91964	−	1.28266i
$324$	17.1880	+	5.34532i	0.954889	+	0.296962i
$325$	−0.781526	+	0.155455i	−0.0433513	+	0.00862310i
$326$	3.61794	−	2.96050i	0.200379	−	0.163967i
$327$	−1.65459	+	4.99126i	−0.0914992	+	0.276018i
$328$	1.10026	−	10.6992i	0.0607518	−	0.590766i
$329$	−20.9034	−	8.65847i	−1.15244	−	0.477357i
$330$	−8.21134	−	3.66406i	−0.452019	−	0.201700i
$331$	6.10296	+	4.07787i	0.335449	+	0.224140i	0.711874	−	0.702307i	$-0.247847\pi$
$331$	6.10296	+	4.07787i	0.335449	+	0.224140i	−0.376425	+	0.926447i	$0.622847\pi$
$332$	−0.0906813	+	31.6282i	−0.00497678	+	1.73582i
$333$	−0.0795203	+	1.55340i	−0.00435769	+	0.0851259i
$334$	−14.3069	+	7.62084i	−0.782838	+	0.416994i
$335$	−18.0868	+	18.0868i	−0.988190	+	0.988190i
$336$	−11.7298	+	9.02700i	−0.639910	+	0.492463i
$337$	−14.8872	−	14.8872i	−0.810960	−	0.810960i	0.173818	−	0.984778i	$-0.444390\pi$
$337$	−14.8872	−	14.8872i	−0.810960	−	0.810960i	−0.984778	+	0.173818i	$0.944390\pi$
$338$	−17.2232	−	5.25158i	−0.936820	−	0.285648i
$339$	0.545123	+	0.699995i	0.0296070	+	0.0380185i
$340$	−18.2964	−	7.64015i	−0.992262	−	0.414345i
$341$	4.22749	−	6.32688i	0.228931	−	0.342620i
$342$	−31.0611	−	11.2363i	−1.67959	−	0.607592i
$343$	−7.71437	+	18.6241i	−0.416537	+	1.00561i
$344$	−5.11811	+	16.6146i	−0.275950	+	0.895798i
$345$	−1.71006	+	5.15860i	−0.0920668	+	0.277730i
$346$	1.19440	+	0.119368i	0.0642115	+	0.00641724i
$347$	−3.23177	−	16.2472i	−0.173491	−	0.872197i	−0.965243	−	0.261354i	$-0.915831\pi$
$347$	−3.23177	−	16.2472i	−0.173491	−	0.872197i	0.791752	−	0.610842i	$-0.209169\pi$
$348$	16.0729	−	12.4429i	0.861597	−	0.667011i
$349$	7.90117	+	11.8249i	0.422940	+	0.632974i	0.980351	−	0.197263i	$-0.0632052\pi$
$349$	7.90117	+	11.8249i	0.422940	+	0.632974i	−0.557411	+	0.830237i	$0.688205\pi$
$350$	2.95653	−	3.59203i	0.158033	−	0.192002i
$351$	2.26727	+	1.44556i	0.121018	+	0.0771585i
$352$	1.17380	−	11.1015i	0.0625639	−	0.591711i
$353$	−9.52419			−0.506922			−0.253461	−	0.967346i	$-0.581569\pi$
$353$	−9.52419			−0.506922			−0.253461	+	0.967346i	$0.581569\pi$
$354$	−9.15037	+	1.56453i	−0.486337	+	0.0831540i
$355$	2.86604	−	1.91503i	0.152114	−	0.101639i
$356$	6.60608	+	9.94833i	0.350122	+	0.527260i
$357$	9.73803	−	17.1488i	0.515391	−	0.907613i
$358$	7.14065	+	0.713629i	0.377395	+	0.0377165i
$359$	13.5909	−	5.62954i	0.717301	−	0.297116i	0.00597878	−	0.999982i	$-0.498097\pi$
$359$	13.5909	−	5.62954i	0.717301	−	0.297116i	0.711322	+	0.702867i	$0.248097\pi$
$360$	3.73772	+	15.3349i	0.196995	+	0.808223i
$361$	38.4459	+	15.9248i	2.02347	+	0.838149i
$362$	5.59914	−	10.4392i	0.294284	−	0.548673i
$363$	−3.27029	−	11.8648i	−0.171646	−	0.622741i
$364$	−2.04516	+	0.840270i	−0.107195	+	0.0440421i
$365$	19.1277	+	3.80473i	1.00119	+	0.199149i
$366$	−28.9340	+	18.2226i	−1.51240	+	0.952508i
$367$	15.2685	−	15.2685i	0.797012	−	0.797012i	−0.185611	−	0.982623i	$-0.559427\pi$
$367$	15.2685	−	15.2685i	0.797012	−	0.797012i	0.982623	+	0.185611i	$0.0594266\pi$
$368$	−6.74709	−	0.0386895i	−0.351716	−	0.00201683i
$369$	6.81465	−	9.14905i	0.354756	−	0.476281i
$370$	−1.20380	+	0.641229i	−0.0625828	+	0.0333359i
$371$	−19.2116	−	3.82143i	−0.997418	−	0.198399i
$372$	−13.3247	+	0.930698i	−0.690852	+	0.0482545i
$373$	−2.86670	+	4.29031i	−0.148432	+	0.222144i	−0.898233	−	0.439519i	$-0.855149\pi$
$373$	−2.86670	+	4.29031i	−0.148432	+	0.222144i	0.749801	+	0.661663i	$0.230149\pi$
$374$	4.29727	+	14.2396i	0.222206	+	0.736314i
$375$	−9.45418	−	18.8305i	−0.488212	−	0.972401i
$376$	−26.3571	−	14.2343i	−1.35927	−	0.734076i
$377$	2.80530	−	1.16199i	0.144480	−	0.0598456i
$378$	−15.5894	+	1.85124i	−0.801835	+	0.0952177i
$379$	−1.24650	−	6.26655i	−0.0640281	−	0.321891i	0.935476	−	0.353391i	$-0.114972\pi$
$379$	−1.24650	−	6.26655i	−0.0640281	−	0.321891i	−0.999504	+	0.0315000i	$0.989972\pi$
$380$	−5.56918	−	28.4238i	−0.285693	−	1.45811i
$381$	0.549853	−	4.42062i	0.0281698	−	0.226475i
$382$	11.3938	−	1.10570i	0.582956	−	0.0565724i
$383$	16.8062			0.858759			0.429379	−	0.903124i	$-0.358732\pi$
$383$	16.8062			0.858759			0.429379	+	0.903124i	$0.358732\pi$
$384$	−16.6707	+	10.3000i	−0.850721	+	0.525617i
$385$	7.84229			0.399680
$386$	−2.67137	+	0.259241i	−0.135969	+	0.0131950i
$387$	−13.6883	+	12.3551i	−0.695817	+	0.628047i
$388$	4.81466	+	24.5729i	0.244427	+	1.24750i
$389$	7.14674	+	35.9291i	0.362354	+	1.82168i	0.544925	+	0.838485i	$0.316558\pi$
$389$	7.14674	+	35.9291i	0.362354	+	1.82168i	−0.182571	+	0.983193i	$0.558442\pi$
$390$	−0.0636702	+	2.35699i	−0.00322407	+	0.119351i
$391$	8.30557	−	3.44028i	0.420031	−	0.173982i
$392$	−3.27400	+	6.06236i	−0.165362	+	0.306196i
$393$	−19.0414	+	9.56007i	−0.960511	+	0.482242i
$394$	−5.11793	−	16.9590i	−0.257837	−	0.854383i
$395$	11.3330	−	16.9610i	0.570224	−	0.853401i
$396$	7.10017	−	9.47555i	0.356797	−	0.476164i
$397$	21.4328	+	4.26326i	1.07568	+	0.213967i	0.700982	−	0.713179i	$-0.252745\pi$
$397$	21.4328	+	4.26326i	1.07568	+	0.213967i	0.374701	+	0.927146i	$0.377745\pi$
$398$	21.5300	−	11.4684i	1.07920	−	0.574857i
$399$	28.7326	−	2.08970i	1.43843	−	0.104616i
$400$	4.38024	−	4.33029i	0.219012	−	0.216515i
$401$	−23.4026	+	23.4026i	−1.16867	+	1.16867i	−0.186150	+	0.982521i	$0.559601\pi$
$401$	−23.4026	+	23.4026i	−1.16867	+	1.16867i	−0.982521	+	0.186150i	$0.940399\pi$
$402$	−17.9500	−	28.5012i	−0.895263	−	1.42151i
$403$	−1.95699	−	0.389270i	−0.0974849	−	0.0193909i
$404$	7.54474	−	3.09982i	0.375365	−	0.154222i
$405$	−4.92569	+	16.0003i	−0.244759	+	0.795062i
$406$	−8.37934	+	15.6227i	−0.415859	+	0.775343i
$407$	0.945293	+	0.391553i	0.0468564	+	0.0194086i
$408$	15.1475	−	21.2662i	0.749915	−	1.05283i
$409$	0.883321	−	0.365884i	0.0436774	−	0.0180918i	−0.360738	−	0.932667i	$-0.617475\pi$
$409$	0.883321	−	0.365884i	0.0436774	−	0.0180918i	0.404415	+	0.914575i	$0.367475\pi$
$410$	9.95398	+	0.994791i	0.491592	+	0.0491292i
$411$	−11.1054	−	6.30623i	−0.547788	−	0.311063i
$412$	14.4545	+	21.7675i	0.712120	+	1.07241i
$413$	6.73195	−	4.49815i	0.331258	−	0.221339i
$414$	−6.12543	−	3.70059i	−0.301049	−	0.181874i
$415$	−29.4167			−1.44401
$416$	−2.80727	+	0.829651i	−0.137638	+	0.0406770i
$417$	0.131889	+	0.114005i	0.00645863	+	0.00558286i
$418$	−13.8082	+	16.7762i	−0.675380	+	0.820551i
$419$	−15.1555	−	22.6819i	−0.740396	−	1.10808i	−0.990183	−	0.139780i	$-0.955360\pi$
$419$	−15.1555	−	22.6819i	−0.740396	−	1.10808i	0.249786	−	0.968301i	$-0.419640\pi$
$420$	−8.42703	−	10.8854i	−0.411197	−	0.531155i
$421$	3.74500	+	18.8274i	0.182520	+	0.917591i	0.958120	+	0.286366i	$0.0924474\pi$
$421$	3.74500	+	18.8274i	0.182520	+	0.917591i	−0.775600	+	0.631225i	$0.782553\pi$
$422$	−12.3760	−	1.23685i	−0.602454	−	0.0602087i
$423$	−16.2781	−	27.2855i	−0.791466	−	1.32667i
$424$	−24.7842	−	7.63475i	−1.20363	−	0.370776i
$425$	−3.14056	+	7.58198i	−0.152339	+	0.367780i
$426$	1.62314	+	4.23890i	0.0786415	+	0.205376i
$427$	16.5687	−	24.7969i	0.801817	−	1.20000i
$428$	−10.8155	−	4.51632i	−0.522789	−	0.218304i
$429$	1.39553	−	1.08677i	0.0673768	−	0.0524699i
$430$	−15.4664	−	4.71590i	−0.745856	−	0.227421i
$431$	−26.6798	−	26.6798i	−1.28512	−	1.28512i	−0.937716	−	0.347403i	$-0.887064\pi$
$431$	−26.6798	−	26.6798i	−1.28512	−	1.28512i	−0.347403	−	0.937716i	$-0.612936\pi$
$432$	−20.7820	+	0.326739i	−0.999876	+	0.0157202i
$433$	−24.0879	+	24.0879i	−1.15759	+	1.15759i	−0.172598	+	0.984992i	$0.555216\pi$
$433$	−24.0879	+	24.0879i	−1.15759	+	1.15759i	−0.984992	+	0.172598i	$0.944784\pi$
$434$	10.2819	−	5.47687i	0.493548	−	0.262898i
$435$	11.6157	+	14.9157i	0.556929	+	0.715155i
$436$	0.0174085	−	6.07181i	0.000833716	−	0.290787i
$437$	10.9193	+	7.29604i	0.522341	+	0.349017i
$438$	−10.4649	+	23.4523i	−0.500032	+	1.12060i
$439$	−12.9037	−	5.34487i	−0.615858	−	0.255097i	0.0528731	−	0.998601i	$-0.483162\pi$
$439$	−12.9037	−	5.34487i	−0.615858	−	0.255097i	−0.668731	+	0.743505i	$0.733162\pi$
$440$	10.3283	+	1.06212i	0.492382	+	0.0506344i
$441$	−6.27591	+	3.74409i	−0.298853	+	0.178290i
$442$	3.01852	−	2.47000i	0.143576	−	0.117486i
$443$	0.205918	−	0.0409597i	0.00978348	−	0.00194606i	−0.190196	−	0.981746i	$-0.560912\pi$
$443$	0.205918	−	0.0409597i	0.00978348	−	0.00194606i	0.199980	+	0.979800i	$0.435912\pi$
$444$	−0.472284	−	1.73285i	−0.0224136	−	0.0822377i
$445$	−9.23503	+	6.17065i	−0.437783	+	0.292517i
$446$	−26.6977	+	2.59085i	−1.26417	+	0.122680i
$447$	−26.8318	+	31.0409i	−1.26910	+	1.46818i
$448$	9.61706	−	14.1284i	0.454364	−	0.667502i
$449$		−	24.1373i		−	1.13911i	−0.821954	−	0.569554i	$-0.807116\pi$
$449$		−	24.1373i		−	1.13911i	0.821954	−	0.569554i	$-0.192884\pi$
$450$	6.34272	−	1.56525i	0.298999	−	0.0737865i
$451$	−4.16918	−	6.23962i	−0.196319	−	0.293812i
$452$	−0.850179	−	0.571604i	−0.0399891	−	0.0268860i
$453$	10.2488	−	18.0483i	0.481531	−	0.847985i
$454$	12.7164	+	15.5403i	0.596810	+	0.729345i
$455$	−0.786964	−	1.89990i	−0.0368934	−	0.0890686i
$456$	38.1239	+	1.13925i	1.78531	+	0.0533501i
$457$	−10.2246	+	24.6843i	−0.478286	+	1.15468i	0.482127	+	0.876102i	$0.339865\pi$
$457$	−10.2246	+	24.6843i	−0.478286	+	1.15468i	−0.960412	+	0.278582i	$0.910135\pi$
$458$	8.63845	+	28.6248i	0.403648	+	1.33755i
$459$	25.3519	−	11.1442i	1.18332	−	0.520165i
$460$	0.0179921	−	6.27537i	0.000838888	−	0.292591i
$461$	6.27058	−	31.5243i	0.292050	−	1.46823i	−0.504369	−	0.863488i	$-0.668275\pi$
$461$	6.27058	−	31.5243i	0.292050	−	1.46823i	0.796419	−	0.604746i	$-0.206725\pi$
$462$	−2.28745	+	10.0704i	−0.106422	+	0.468517i
$463$	−12.2299	−	12.2299i	−0.568371	−	0.568371i	0.363301	−	0.931672i	$-0.381650\pi$
$463$	−12.2299	−	12.2299i	−0.568371	−	0.568371i	−0.931672	+	0.363301i	$0.881650\pi$
$464$	−13.1515	+	19.4403i	−0.610541	+	0.902493i
$465$	−0.901147	−	12.3904i	−0.0417897	−	0.574592i
$466$	−4.04850	+	13.2776i	−0.187543	+	0.615072i
$467$	−3.87335	+	19.4727i	−0.179237	+	0.901087i	0.781559	+	0.623831i	$0.214425\pi$
$467$	−3.87335	+	19.4727i	−0.179237	+	0.901087i	−0.960796	+	0.277255i	$0.910575\pi$
$468$	−3.00807	−	0.769250i	−0.139048	−	0.0355586i
$469$	24.4259	+	16.3209i	1.12788	+	0.753628i
$470$	13.1686	−	24.5520i	0.607421	−	1.13250i
$471$	18.1630	+	36.1764i	0.836908	+	1.66692i
$472$	9.47519	−	5.01232i	0.436131	−	0.230711i
$473$	4.64184	+	11.2064i	0.213432	+	0.515271i
$474$	18.4742	+	19.5000i	0.848550	+	0.895667i
$475$	−11.7581	+	2.33882i	−0.539497	+	0.107313i
$476$	−4.50655	+	22.3213i	−0.206557	+	1.02310i
$477$	−18.4303	−	20.4190i	−0.843865	−	0.934923i
$478$	27.0766	+	22.2863i	1.23846	+	1.01935i
$479$			12.5702i			0.574346i	0.957879	+	0.287173i	$0.0927154\pi$
$479$			12.5702i			0.574346i	−0.957879	+	0.287173i	$0.907285\pi$
$480$	−9.62414	−	15.4774i	−0.439280	−	0.706445i
$481$		−	0.268302i		−	0.0122335i
$482$	−2.78730	+	3.38642i	−0.126958	+	0.154247i
$483$	6.19391	+	0.770421i	0.281833	+	0.0350554i
$484$	7.86141	+	11.8388i	0.357337	+	0.538126i
$485$	−22.8417	+	4.54350i	−1.03719	+	0.206310i
$486$	−19.1095	−	10.9921i	−0.866824	−	0.498614i
$487$	−10.8434	−	26.1784i	−0.491363	−	1.18625i	−0.954027	−	0.299721i	$-0.903106\pi$
$487$	−10.8434	−	26.1784i	−0.491363	−	1.18625i	0.462664	−	0.886534i	$-0.346894\pi$
$488$	25.1794	−	30.4135i	1.13982	−	1.37675i
$489$	−5.11679	+	2.56897i	−0.231389	+	0.116173i
$490$	−5.64716	−	3.02889i	−0.255113	−	0.136831i
$491$	15.9867	+	10.6820i	0.721471	+	0.482072i	0.861295	−	0.508105i	$-0.169654\pi$
$491$	15.9867	+	10.6820i	0.721471	+	0.482072i	−0.139824	+	0.990176i	$0.544654\pi$
$492$	−4.18082	+	12.4919i	−0.188486	+	0.563177i
$493$	6.10094	−	30.6715i	0.274773	−	1.38138i
$494$	5.44990	+	1.66174i	0.245202	+	0.0747654i
$495$	8.83187	+	6.57839i	0.396963	+	0.295677i
$496$	14.2831	−	5.82051i	0.641329	−	0.261349i
$497$	−2.79929	−	2.79929i	−0.125565	−	0.125565i
$498$	8.58031	−	37.7744i	0.384493	−	1.69271i
$499$	−2.96494	+	14.9058i	−0.132729	+	0.667274i	0.855929	+	0.517093i	$0.172986\pi$
$499$	−2.96494	+	14.9058i	−0.132729	+	0.667274i	−0.988658	+	0.150181i	$0.952014\pi$
$500$	17.1546	+	17.2533i	0.767179	+	0.771590i
$501$	19.1394	−	5.27538i	0.855086	−	0.235687i
$502$	7.02563	−	2.12021i	0.313569	−	0.0946295i
$503$	−8.18845	+	19.7687i	−0.365105	+	0.881442i	0.629432	+	0.777056i	$0.283288\pi$
$503$	−8.18845	+	19.7687i	−0.365105	+	0.881442i	−0.994537	+	0.104386i	$0.966712\pi$
$504$	16.4361	−	7.64618i	0.732124	−	0.340588i
$505$	2.90317	+	7.00888i	0.129189	+	0.311891i
$506$	−3.64330	+	2.98124i	−0.161964	+	0.132532i
$507$	19.1767	+	10.8896i	0.851667	+	0.483622i
$508$	0.989042	+	5.04785i	0.0438817	+	0.223962i
$509$	−19.7020	−	29.4861i	−0.873276	−	1.30695i	−0.950751	−	0.309956i	$-0.899686\pi$
$509$	−19.7020	−	29.4861i	−0.873276	−	1.30695i	0.0774747	−	0.996994i	$-0.475314\pi$
$510$	19.8194	+	14.0316i	0.877620	+	0.621329i
$511$		−	22.3983i		−	0.990841i
$512$	14.5792	−	17.3046i	0.644314	−	0.764761i
$513$	34.1111	+	21.7485i	1.50604	+	0.960221i
$514$	−1.90380	−	19.6179i	−0.0839730	−	0.865307i
$515$	−20.2067	+	13.5017i	−0.890415	+	0.594957i
$516$	10.5670	−	18.4851i	0.465187	−	0.813759i
$517$	−20.4984	+	4.07740i	−0.901521	+	0.179324i
$518$	0.992017	+	1.21232i	0.0435867	+	0.0532661i
$519$	−1.39545	−	0.462589i	−0.0612535	−	0.0203054i
$520$	−0.779120	−	2.60875i	−0.0341667	−	0.114401i
$521$	28.5911	+	11.8428i	1.25260	+	0.518843i	0.907630	−	0.419771i	$-0.137890\pi$
$521$	28.5911	+	11.8428i	1.25260	+	0.518843i	0.344968	+	0.938614i	$0.387890\pi$
$522$	−22.5416	+	10.5652i	−0.986618	+	0.462426i
$523$	1.31987	+	0.881908i	0.0577138	+	0.0385631i	0.584092	−	0.811687i	$-0.301451\pi$
$523$	1.31987	+	0.881908i	0.0577138	+	0.0385631i	−0.526379	+	0.850250i	$0.676451\pi$
$524$	17.4465	−	17.3468i	0.762156	−	0.757798i
$525$	−4.49550	+	3.50088i	−0.196200	+	0.152791i
$526$	−3.11195	−	5.84218i	−0.135687	−	0.254731i
$527$	−14.5311	+	14.5311i	−0.632985	+	0.632985i
$528$	−4.37645	+	12.9529i	−0.190461	+	0.563703i
$529$	−14.2515	−	14.2515i	−0.619632	−	0.619632i
$530$	7.03477	−	23.0714i	0.305571	−	1.00216i
$531$	11.3546	+	0.581256i	0.492749	+	0.0252244i
$532$	−30.7694	+	12.6419i	−1.33402	+	0.548094i
$533$	−1.09326	+	1.63618i	−0.0473544	+	0.0708708i
$534$	−5.23013	−	13.6587i	−0.226330	−	0.591070i
$535$	4.17165	−	10.0713i	0.180356	−	0.435419i
$536$	29.9586	+	24.8027i	1.29401	+	1.07131i
$537$	−8.34259	−	2.76555i	−0.360009	−	0.119342i
$538$	1.46805	−	14.6895i	0.0632922	−	0.633308i
$539$	0.937835	+	4.71482i	0.0403954	+	0.203082i
$540$	−0.359308	−	19.3279i	−0.0154621	−	0.831740i
$541$	−7.57021	−	11.3296i	−0.325469	−	0.487098i	0.632266	−	0.774751i	$-0.282125\pi$
$541$	−7.57021	−	11.3296i	−0.325469	−	0.487098i	−0.957735	+	0.287653i	$0.907125\pi$
$542$	−15.4050	−	12.6796i	−0.661703	−	0.544635i
$543$	−9.48775	+	10.9761i	−0.407158	+	0.471028i
$544$	−8.95821	+	28.7868i	−0.384080	+	1.23423i
$545$	5.64726			0.241902
$546$	2.66923	−	0.456386i	0.114232	−	0.0195315i
$547$	−20.8771	+	13.9497i	−0.892642	+	0.596444i	−0.915066	−	0.403304i	$-0.867862\pi$
$547$	−20.8771	+	13.9497i	−0.892642	+	0.596444i	0.0224241	+	0.999749i	$0.492862\pi$
$548$	14.4550	+	2.91839i	0.617487	+	0.124667i
$549$	39.4600	−	14.0274i	1.68411	−	0.598675i
$550$	0.427355	−	4.27616i	0.0182225	−	0.182336i
$551$	42.2057	−	17.4822i	1.79802	−	0.744765i
$552$	8.05304	+	1.85351i	0.342760	+	0.0788908i
$553$	−21.6445	−	8.96544i	−0.920417	−	0.381249i
$554$	23.6846	+	12.7034i	1.00626	+	0.539715i
$555$	1.61042	−	0.443878i	0.0683585	−	0.0188416i
$556$	−0.185757	−	0.0775679i	−0.00787786	−	0.00328961i
$557$	−37.0261	−	7.36495i	−1.56885	−	0.312063i	−0.667315	−	0.744775i	$-0.732557\pi$
$557$	−37.0261	−	7.36495i	−1.56885	−	0.312063i	−0.901532	+	0.432712i	$0.857557\pi$
$558$	16.1735	+	2.45688i	0.684681	+	0.104008i
$559$	2.24910	−	2.24910i	0.0951267	−	0.0951267i
$560$	13.1660	+	8.90688i	0.556366	+	0.376384i
$561$	−1.32140	−	18.1688i	−0.0557897	−	0.767087i
$562$	0.183900	+	0.345243i	0.00775737	+	0.0145632i
$563$	−16.7018	−	3.32220i	−0.703898	−	0.140014i	−0.169852	−	0.985470i	$-0.554329\pi$
$563$	−16.7018	−	3.32220i	−0.703898	−	0.140014i	−0.534046	+	0.845455i	$0.679329\pi$
$564$	27.6865	+	24.0713i	1.16581	+	1.01358i
$565$	0.529365	−	0.792251i	0.0222706	−	0.0333303i
$566$	8.93256	−	2.69569i	0.375464	−	0.113308i
$567$	19.1267	+	1.96338i	0.803248	+	0.0824543i
$568$	−3.30755	−	4.06579i	−0.138782	−	0.170597i
$569$	−35.7511	+	14.8086i	−1.49877	+	0.620809i	−0.973203	−	0.229946i	$-0.926145\pi$
$569$	−35.7511	+	14.8086i	−1.49877	+	0.620809i	−0.525562	+	0.850755i	$0.676145\pi$
$570$	−0.957918	+	35.4609i	−0.0401228	+	1.48529i
$571$	−2.80198	−	14.0865i	−0.117259	−	0.589502i	−0.994077	−	0.108679i	$-0.965338\pi$
$571$	−2.80198	−	14.0865i	−0.117259	−	0.589502i	0.876818	−	0.480823i	$-0.159662\pi$
$572$	−1.13957	+	1.69494i	−0.0476477	+	0.0708691i
$573$	−13.9128	−	1.73052i	−0.581215	−	0.0722937i
$574$	−1.10972	−	11.4353i	−0.0463190	−	0.477298i
$575$	−2.59741			−0.108319
$576$	22.6820	−	7.84401i	0.945082	−	0.326834i
$577$	20.6850			0.861126			0.430563	−	0.902560i	$-0.358315\pi$
$577$	20.6850			0.861126			0.430563	+	0.902560i	$0.358315\pi$
$578$	−1.55779	−	16.0524i	−0.0647957	−	0.667693i
$579$	3.26198	+	0.405736i	0.135563	+	0.0168618i
$580$	−18.1159	−	12.1799i	−0.752223	−	0.505745i
$581$	6.59108	+	33.1356i	0.273444	+	1.37470i
$582$	0.828138	−	30.6566i	0.0343274	−	1.27076i
$583$	−16.7167	+	6.92429i	−0.692336	+	0.286775i
$584$	3.03350	−	29.4986i	0.125527	−	1.22066i
$585$	0.707436	−	2.79977i	0.0292489	−	0.115756i
$586$	7.24214	−	2.18555i	0.299170	−	0.0902841i
$587$	−21.7543	+	32.5577i	−0.897897	+	1.34380i	0.0408405	+	0.999166i	$0.486996\pi$
$587$	−21.7543	+	32.5577i	−0.897897	+	1.34380i	−0.938738	+	0.344632i	$0.888004\pi$
$588$	5.53661	−	6.36812i	0.228326	−	0.262617i
$589$	−29.4430	−	5.85657i	−1.21318	−	0.241316i
$590$	4.68708	+	8.79924i	0.192964	+	0.362259i
$591$	1.57376	+	21.6385i	0.0647357	+	0.890090i
$592$	1.14230	+	1.73097i	0.0469481	+	0.0711426i
$593$	6.01737	−	6.01737i	0.247104	−	0.247104i	−0.572677	−	0.819781i	$-0.694095\pi$
$593$	6.01737	−	6.01737i	0.247104	−	0.247104i	0.819781	+	0.572677i	$0.194095\pi$
$594$	−11.0235	+	9.42232i	−0.452299	+	0.386603i
$595$	−20.7724	−	4.13189i	−0.851586	−	0.169391i
$596$	18.2561	−	43.7191i	0.747798	−	1.79080i
$597$	−28.8023	+	7.93875i	−1.17880	+	0.324911i
$598$	1.08785	+	0.583473i	0.0444854	+	0.0238600i
$599$	−15.1936	−	6.29339i	−0.620793	−	0.257141i	0.0500424	−	0.998747i	$-0.484064\pi$
$599$	−15.1936	−	6.29339i	−0.620793	−	0.257141i	−0.670836	+	0.741606i	$0.734064\pi$
$600$	−6.39471	+	4.00181i	−0.261063	+	0.163373i
$601$	−10.0882	+	4.17868i	−0.411508	+	0.170452i	−0.578826	−	0.815451i	$-0.696489\pi$
$601$	−10.0882	+	4.17868i	−0.411508	+	0.170452i	0.167319	+	0.985903i	$0.446489\pi$
$602$	−1.84670	+	18.4783i	−0.0752661	+	0.753119i
$603$	13.8176	+	38.8697i	0.562695	+	1.58290i
$604$	−4.74293	+	23.4921i	−0.192987	+	0.955880i
$605$	−10.9899	+	7.34324i	−0.446804	+	0.298545i
$606$	−9.84699	+	1.68364i	−0.400007	+	0.0683933i
$607$	41.5684			1.68721			0.843605	−	0.536965i	$-0.180429\pi$
$607$	41.5684			1.68721			0.843605	+	0.536965i	$0.180429\pi$
$608$	−42.2354	+	12.4821i	−1.71287	+	0.506216i
$609$	14.1988	−	16.4261i	0.575365	−	0.665621i
$610$	28.3539	+	23.3375i	1.14801	+	0.944908i
$611$	3.04480	+	4.55686i	0.123179	+	0.184351i
$612$	−23.7991	+	21.3577i	−0.962022	+	0.863332i
$613$	−3.18931	−	16.0338i	−0.128815	−	0.647597i	−0.990201	−	0.139647i	$-0.955403\pi$
$613$	−3.18931	−	16.0338i	−0.128815	−	0.647597i	0.861386	−	0.507950i	$-0.169597\pi$
$614$	0.511757	−	5.12069i	0.0206528	−	0.206654i
$615$	−11.6295	−	3.85514i	−0.468946	−	0.155454i
$616$	−1.11776	−	11.8720i	−0.0450357	−	0.478336i
$617$	9.37934	−	22.6437i	0.377598	−	0.911602i	−0.614817	−	0.788670i	$-0.710770\pi$
$617$	9.37934	−	22.6437i	0.377598	−	0.911602i	0.992415	−	0.122932i	$-0.0392298\pi$
$618$	−11.4438	−	29.8860i	−0.460337	−	1.20219i
$619$	19.5432	−	29.2484i	0.785506	−	1.17559i	−0.195326	−	0.980738i	$-0.562577\pi$
$619$	19.5432	−	29.2484i	0.785506	−	1.17559i	0.980832	−	0.194854i	$-0.0624234\pi$
$620$	5.45158	+	13.2687i	0.218941	+	0.532886i
$621$	6.32923	+	6.06331i	0.253983	+	0.243312i
$622$	3.85392	−	12.6394i	0.154528	−	0.506794i
$623$	9.01994	+	9.01994i	0.361376	+	0.361376i
$624$	3.57719	−	0.239554i	0.143202	−	0.00958984i
$625$	−10.5569	+	10.5569i	−0.422275	+	0.422275i
$626$	2.15979	+	4.05465i	0.0863224	+	0.162056i
$627$	20.9958	−	16.3505i	0.838490	−	0.652976i
$628$	−32.9569	−	33.1464i	−1.31512	−	1.32269i
$629$	−2.29756	−	1.53518i	−0.0916099	−	0.0612117i
$630$	7.15532	+	15.2664i	0.285075	+	0.608227i
$631$	−2.07243	−	0.858428i	−0.0825021	−	0.0341735i	0.341051	−	0.940045i	$-0.389217\pi$
$631$	−2.07243	−	0.858428i	−0.0825021	−	0.0341735i	−0.423553	+	0.905871i	$0.639217\pi$
$632$	−27.2916	−	14.7389i	−1.08560	−	0.586282i
$633$	14.4592	+	4.79319i	0.574701	+	0.190512i
$634$	12.4510	+	15.2160i	0.494493	+	0.604306i
$635$	−4.69222	+	0.933340i	−0.186205	+	0.0370385i
$636$	27.5744	+	15.7629i	1.09340	+	0.625041i
$637$	1.04812	−	0.700329i	0.0415279	−	0.0277481i
$638$	1.58176	+	16.2994i	0.0626224	+	0.645298i
$639$	−0.804375	−	5.50067i	−0.0318206	−	0.217603i
$640$	16.1334	+	13.5135i	0.637727	+	0.534168i
$641$		−	6.47801i		−	0.255866i	−0.991783	−	0.127933i	$-0.959166\pi$
$641$		−	6.47801i		−	0.255866i	0.991783	−	0.127933i	$-0.0408342\pi$
$642$	11.7158	+	8.29448i	0.462388	+	0.327357i
$643$	4.48236	+	6.70832i	0.176767	+	0.264550i	0.909264	−	0.416220i	$-0.136645\pi$
$643$	4.48236	+	6.70832i	0.176767	+	0.264550i	−0.732497	+	0.680770i	$0.761645\pi$
$644$	−7.07274	+	1.38579i	−0.278705	+	0.0546077i
$645$	17.2206	+	9.77878i	0.678060	+	0.385039i
$646$	45.4136	−	37.1612i	1.78677	−	1.46209i
$647$	1.11400	+	2.68944i	0.0437960	+	0.105733i	0.944264	−	0.329190i	$-0.106776\pi$
$647$	1.11400	+	2.68944i	0.0437960	+	0.105733i	−0.900468	+	0.434923i	$0.856776\pi$
$648$	24.9240	+	5.17620i	0.979108	+	0.203340i
$649$	2.86207	−	6.90964i	0.112346	−	0.271227i
$650$	−1.07884	+	0.325575i	−0.0423157	+	0.0127701i
$651$	−13.7549	+	3.79126i	−0.539097	+	0.148591i
$652$	4.68822	−	4.66141i	0.183605	−	0.182555i
$653$	−2.97051	+	14.9337i	−0.116245	+	0.584403i	0.878124	+	0.478432i	$0.158795\pi$
$653$	−2.97051	+	14.9337i	−0.116245	+	0.584403i	−0.994369	+	0.105970i	$0.966205\pi$
$654$	−1.64720	+	7.25173i	−0.0644107	+	0.283565i
$655$	16.1803	+	16.1803i	0.632215	+	0.632215i
$656$	0.0872211	−	15.2105i	0.00340541	−	0.593872i
$657$	18.7885	−	25.2246i	0.733008	−	0.984106i
$658$	−30.6064	−	9.33228i	−1.19316	−	0.363810i
$659$	−0.269916	+	1.35696i	−0.0105144	+	0.0528596i	−0.985686	−	0.168590i	$-0.946079\pi$
$659$	−0.269916	+	1.35696i	−0.0105144	+	0.0528596i	0.975172	+	0.221449i	$0.0710787\pi$
$660$	−12.0588	−	4.03587i	−0.469388	−	0.157096i
$661$	6.50105	+	4.34386i	0.252862	+	0.168957i	0.675541	−	0.737323i	$-0.263910\pi$
$661$	6.50105	+	4.34386i	0.252862	+	0.168957i	−0.422679	+	0.906279i	$0.638910\pi$
$662$	9.14757	+	4.90635i	0.355530	+	0.190691i
$663$	−4.26903	+	2.14334i	−0.165795	+	0.0832406i
$664$	4.19275	+	44.5323i	0.162710	+	1.72819i
$665$	−11.8399	−	28.5840i	−0.459131	−	1.10844i
$666$	0.100261	+	2.19743i	0.00388503	+	0.0851487i
$667$	9.70752	−	1.93095i	0.375877	−	0.0747665i
$668$	−19.0974	+	12.6814i	−0.738900	+	0.490659i
$669$	32.6002	+	4.05493i	1.26040	+	0.156773i
$670$	−22.9884	+	27.9297i	−0.888120	+	1.07902i
$671$		−	27.5484i		−	1.06349i
$672$	−15.2777	+	14.3087i	−0.589351	+	0.551970i
$673$		−	18.5310i		−	0.714318i	−0.934044	−	0.357159i	$-0.883745\pi$
$673$		−	18.5310i		−	0.714318i	0.934044	−	0.357159i	$-0.116255\pi$
$674$	−22.9889	−	18.9217i	−0.885499	−	0.728837i
$675$	−7.99942	+	0.171654i	−0.307898	+	0.00660698i
$676$	−24.9608	−	5.03945i	−0.960031	−	0.193825i
$677$	−19.7284	+	3.92422i	−0.758223	+	0.150820i	−0.559038	−	0.829142i	$-0.688830\pi$
$677$	−19.7284	+	3.92422i	−0.758223	+	0.150820i	−0.199185	+	0.979962i	$0.563830\pi$
$678$	0.862935	+	0.910850i	0.0331408	+	0.0349810i
$679$	10.2358	+	24.7114i	0.392814	+	0.948336i
$680$	−26.7977	−	8.25501i	−1.02764	−	0.316565i
$681$	−11.0346	−	21.9784i	−0.422849	−	0.842214i
$682$	5.08637	−	9.48319i	0.194767	−	0.363130i
$683$	13.8208	+	9.23478i	0.528839	+	0.353359i	0.791148	−	0.611625i	$-0.209484\pi$
$683$	13.8208	+	9.23478i	0.528839	+	0.353359i	−0.262309	+	0.964984i	$0.584484\pi$
$684$	−45.2564	−	11.5734i	−1.73042	−	0.442519i
$685$	−2.67576	+	13.4520i	−0.102236	+	0.513973i
$686$	−8.31471	+	27.2691i	−0.317457	+	1.04114i
$687$	−2.65631	−	36.5232i	−0.101345	−	1.39345i
$688$	−4.93471	+	24.0858i	−0.188134	+	0.918264i
$689$	3.35501	+	3.35501i	0.127816	+	0.127816i
$690$	−1.70243	+	7.49485i	−0.0648102	+	0.285324i
$691$	−4.94539	+	24.8622i	−0.188132	+	0.945801i	0.765181	+	0.643816i	$0.222650\pi$
$691$	−4.94539	+	24.8622i	−0.188132	+	0.945801i	−0.953312	+	0.301986i	$0.902350\pi$
$692$	1.69755	+	0.00486705i	0.0645311	+	0.000185017i
$693$	5.43118	−	11.4223i	0.206313	−	0.433899i
$694$	−6.76841	−	22.4282i	−0.256925	−	0.851361i
$695$	0.0716483	−	0.172974i	0.00271777	−	0.00656129i
$696$	20.9245	−	19.7102i	0.793141	−	0.747114i
$697$	7.75572	+	18.7240i	0.293769	+	0.709220i
$698$	12.7370	+	15.5655i	0.482101	+	0.589162i
$699$	8.39488	−	14.7835i	0.317524	−	0.559164i
$700$	3.67095	−	5.46001i	0.138749	−	0.206369i
$701$	0.982751	+	1.47079i	0.0371180	+	0.0555510i	0.849565	−	0.527485i	$-0.176865\pi$
$701$	0.982751	+	1.47079i	0.0371180	+	0.0555510i	−0.812447	+	0.583036i	$0.801865\pi$
$702$	3.38888	+	1.72507i	0.127905	+	0.0651086i
$703$		−	4.03660i		−	0.152243i
$704$	0.135790	−	15.7868i	0.00511778	−	0.594988i
$705$	−22.3142	+	25.8146i	−0.840401	+	0.972233i
$706$	−13.4063	+	1.30100i	−0.504551	+	0.0489638i
$707$	7.24446	−	4.84059i	0.272456	−	0.182049i
$708$	−12.6664	+	3.45217i	−0.476031	+	0.129741i
$709$	9.68808	−	1.92708i	0.363843	−	0.0723729i	−0.00978323	−	0.999952i	$-0.503114\pi$
$709$	9.68808	−	1.92708i	0.363843	−	0.0723729i	0.373627	+	0.927579i	$0.378114\pi$
$710$	3.77265	−	3.08710i	0.141585	−	0.115857i
$711$	−16.8552	−	28.2529i	−0.632118	−	1.05957i
$712$	10.6577	+	13.1009i	0.399413	+	0.490976i
$713$	−6.00899	−	2.48901i	−0.225039	−	0.0932140i
$714$	11.3647	−	25.4689i	0.425315	−	0.953151i
$715$	−1.57946	−	1.05536i	−0.0590683	−	0.0394682i
$716$	10.1487	+	0.0290972i	0.379273	+	0.00108742i
$717$	−26.3895	−	33.8869i	−0.985535	−	1.26553i
$718$	18.3616	−	9.78065i	0.685248	−	0.365011i
$719$	−29.6117	+	29.6117i	−1.10433	+	1.10433i	−0.110450	+	0.993882i	$0.535229\pi$
$719$	−29.6117	+	29.6117i	−1.10433	+	1.10433i	−0.993882	+	0.110450i	$0.964771\pi$
$720$	7.35597	+	21.0749i	0.274141	+	0.785416i
$721$	19.7361	+	19.7361i	0.735011	+	0.735011i
$722$	56.2919	+	17.1641i	2.09497	+	0.638782i
$723$	4.23817	−	3.30048i	0.157619	−	0.122746i
$724$	6.45536	−	15.4591i	0.239911	−	0.574533i
$725$	−5.01980	+	7.51266i	−0.186431	+	0.279013i
$726$	−6.22399	−	16.2542i	−0.230994	−	0.603250i
$727$	8.07331	−	19.4907i	0.299422	−	0.722869i	−0.700535	−	0.713618i	$-0.747055\pi$
$727$	8.07331	−	19.4907i	0.299422	−	0.722869i	0.999957	−	0.00925126i	$-0.00294481\pi$
$728$	−2.76398	+	1.46213i	−0.102440	+	0.0541902i
$729$	19.8933	+	18.2553i	0.736789	+	0.676123i
$730$	27.4438	+	2.74271i	1.01574	+	0.101512i
$731$	−6.39082	−	32.1288i	−0.236373	−	1.18833i
$732$	−38.2383	+	29.6025i	−1.41333	+	1.09414i
$733$	−9.92215	−	14.8495i	−0.366483	−	0.548481i	0.601701	−	0.798722i	$-0.294490\pi$
$733$	−9.92215	−	14.8495i	−0.366483	−	0.548481i	−0.968184	+	0.250241i	$0.919490\pi$
$734$	19.4064	−	23.5777i	0.716301	−	0.870269i
$735$	5.93757	+	5.13245i	0.219011	+	0.189313i
$736$	−9.50249	+	0.867189i	−0.350267	+	0.0319650i
$737$	27.1363			0.999578
$738$	8.34255	−	13.8091i	0.307093	−	0.508320i
$739$	−34.6392	+	23.1452i	−1.27422	+	0.851408i	−0.994091	−	0.108553i	$-0.965378\pi$
$739$	−34.6392	+	23.1452i	−1.27422	+	0.851408i	−0.280132	+	0.959962i	$0.590378\pi$
$740$	−1.60688	+	1.06703i	−0.0590702	+	0.0392249i
$741$	−6.06803	−	3.44575i	−0.222915	−	0.126583i
$742$	−27.5643	−	2.75475i	−1.01192	−	0.101130i
$743$	8.29139	−	3.43441i	0.304182	−	0.125996i	−0.225372	−	0.974273i	$-0.572360\pi$
$743$	8.29139	−	3.43441i	0.304182	−	0.125996i	0.529553	+	0.848277i	$0.322360\pi$
$744$	−18.6287	+	3.13020i	−0.682961	+	0.114759i
$745$	40.7106	+	16.8629i	1.49152	+	0.617808i
$746$	−3.44911	+	6.43064i	−0.126281	+	0.235442i
$747$	−20.3725	+	42.8456i	−0.745392	+	1.56764i
$748$	7.99396	+	19.4567i	0.292288	+	0.711408i
$749$	−12.2792	−	2.44248i	−0.448671	−	0.0892463i
$750$	−15.8799	−	25.2144i	−0.579853	−	0.920698i
$751$	−19.7420	+	19.7420i	−0.720397	+	0.720397i	−0.968686	−	0.248289i	$-0.920132\pi$
$751$	−19.7420	+	19.7420i	−0.720397	+	0.720397i	0.248289	+	0.968686i	$0.420132\pi$
$752$	−39.0447	−	16.4358i	−1.42381	−	0.599351i
$753$	−8.96421	+	0.651961i	−0.326674	+	0.0237588i
$754$	3.79001	−	2.01882i	0.138024	−	0.0735212i
$755$	−21.8620	−	4.34861i	−0.795638	−	0.158262i
$756$	−21.6908	+	4.73532i	−0.788888	+	0.172222i
$757$	−15.1461	+	22.6677i	−0.550495	+	0.823873i	−0.997501	−	0.0706576i	$-0.977490\pi$
$757$	−15.1461	+	22.6677i	−0.550495	+	0.823873i	0.447006	+	0.894531i	$0.352490\pi$
$758$	−2.61058	−	8.65054i	−0.0948204	−	0.314202i
$759$	5.15264	−	2.58698i	0.187029	−	0.0939012i
$760$	−11.7219	−	39.2487i	−0.425197	−	1.42370i
$761$	22.9605	−	9.51056i	0.832318	−	0.344757i	0.0744981	−	0.997221i	$-0.476265\pi$
$761$	22.9605	−	9.51056i	0.832318	−	0.344757i	0.757820	+	0.652464i	$0.226265\pi$
$762$	0.170119	−	6.29758i	0.00616275	−	0.228137i
$763$	−1.26532	−	6.36119i	−0.0458077	−	0.230291i
$764$	15.8868	−	3.11276i	0.574766	−	0.112616i
$765$	−19.9276	−	22.0779i	−0.720484	−	0.798229i
$766$	23.6565	−	2.29572i	0.854744	−	0.0829479i
$767$	−1.96116			−0.0708134
$768$	−22.0587	+	16.7754i	−0.795974	+	0.605331i
$769$	−48.0221			−1.73172			−0.865860	−	0.500287i	$-0.833228\pi$
$769$	−48.0221			−1.73172			−0.865860	+	0.500287i	$0.833228\pi$
$770$	11.0388	−	1.07125i	0.397811	−	0.0386052i
$771$	−2.97963	+	23.9552i	−0.107309	+	0.862724i
$772$	−3.72481	+	0.729815i	−0.134059	+	0.0262666i
$773$	−4.43577	−	22.3001i	−0.159544	−	0.802079i	−0.974818	−	0.223004i	$-0.928414\pi$
$773$	−4.43577	−	22.3001i	−0.159544	−	0.802079i	0.815274	−	0.579075i	$-0.196586\pi$
$774$	−17.5800	+	19.2609i	−0.631900	+	0.692319i
$775$	5.48548	−	2.27216i	0.197044	−	0.0816185i
$776$	10.1338	+	33.9312i	0.363781	+	1.21806i
$777$	−0.860823	−	1.71455i	−0.0308818	−	0.0615093i
$778$	14.9677	+	49.5976i	0.536616	+	1.77816i
$779$	−16.4481	+	24.6163i	−0.589314	+	0.881971i
$780$	0.232341	+	3.32640i	0.00831915	+	0.119104i
$781$	−3.58660	−	0.713419i	−0.128339	−	0.0255281i
$782$	11.2210	−	5.97708i	0.401262	−	0.213740i
$783$	29.7693	−	6.58841i	1.06387	−	0.235450i
$784$	−3.78037	+	8.98062i	−0.135013	+	0.320736i
$785$	30.7406	−	30.7406i	1.09718	−	1.09718i
$786$	−25.4968	+	16.0578i	−0.909440	+	0.572763i
$787$	15.7051	+	3.12394i	0.559826	+	0.111356i	0.466889	−	0.884316i	$-0.345375\pi$
$787$	15.7051	+	3.12394i	0.559826	+	0.111356i	0.0929365	+	0.995672i	$0.470375\pi$
$788$	−9.52059	−	23.1724i	−0.339157	−	0.825484i
$789$	2.15419	+	7.81552i	0.0766911	+	0.278240i
$790$	13.6355	−	25.4224i	0.485128	−	0.904489i
$791$	−1.01102	−	0.418777i	−0.0359476	−	0.0148900i
$792$	8.69985	−	14.3077i	0.309136	−	0.508401i
$793$	−6.67396	+	2.76445i	−0.236999	+	0.0981684i
$794$	30.7512	+	3.07325i	1.09132	+	0.109066i
$795$	−14.5871	+	25.6882i	−0.517352	+	0.911066i
$796$	28.7390	−	19.0839i	1.01863	−	0.676409i
$797$	3.42496	−	2.28848i	0.121318	−	0.0810623i	−0.493431	−	0.869785i	$-0.664257\pi$
$797$	3.42496	−	2.28848i	0.121318	−	0.0810623i	0.614749	+	0.788723i	$0.289257\pi$
$798$	40.1586	−	6.86632i	1.42160	−	0.243065i
$799$	56.4439			1.99684
$800$	5.57411	−	6.69366i	0.197075	−	0.236657i
$801$	2.59188	+	17.7244i	0.0915794	+	0.626260i
$802$	−29.7448	+	36.1383i	−1.05032	+	1.27609i
$803$	−11.4947	−	17.2031i	−0.405641	−	0.607084i
$804$	−29.1596	−	37.6663i	−1.02838	−	1.32839i
$805$	−1.30774	−	6.57446i	−0.0460918	−	0.231719i
$806$	−2.80784	−	0.280613i	−0.0989020	−	0.00988417i
$807$	−5.68918	+	17.1621i	−0.200269	+	0.604133i
$808$	10.1965	−	5.39392i	0.358713	−	0.189757i
$809$	1.81558	−	4.38320i	0.0638324	−	0.154105i	−0.888745	−	0.458403i	$-0.848422\pi$
$809$	1.81558	−	4.38320i	0.0638324	−	0.154105i	0.952577	+	0.304298i	$0.0984218\pi$
$810$	−4.74777	+	23.1949i	−0.166820	+	0.814986i
$811$	−12.6808	+	18.9782i	−0.445284	+	0.666415i	−0.984426	−	0.175800i	$-0.943749\pi$
$811$	−12.6808	+	18.9782i	−0.445284	+	0.666415i	0.539142	+	0.842215i	$0.318749\pi$
$812$	−9.66071	+	23.1352i	−0.339024	+	0.811885i
$813$	15.0141	+	19.2797i	0.526568	+	0.676169i
$814$	1.38408	+	0.422024i	0.0485120	+	0.0147919i
$815$	4.34795	+	4.34795i	0.152302	+	0.152302i
$816$	18.4168	−	32.0034i	0.644715	−	1.12034i
$817$	33.8377	−	33.8377i	1.18383	−	1.18383i
$818$	1.19338	−	0.635679i	0.0417257	−	0.0222260i
$819$	−3.31223	−	0.169557i	−0.115739	−	0.00592479i
$820$	14.1471	+	0.0405612i	0.494039	+	0.00141646i
$821$	10.0088	+	6.68768i	0.349310	+	0.233401i	0.717830	−	0.696218i	$-0.245135\pi$
$821$	10.0088	+	6.68768i	0.349310	+	0.233401i	−0.368520	+	0.929620i	$0.620135\pi$
$822$	−16.4934	−	7.35967i	−0.575272	−	0.256698i
$823$	23.4308	+	9.70535i	0.816746	+	0.338307i	0.751642	−	0.659571i	$-0.229262\pi$
$823$	23.4308	+	9.70535i	0.816746	+	0.338307i	0.0651037	+	0.997879i	$0.479262\pi$
$824$	23.3195	+	28.6654i	0.812374	+	0.998608i
$825$	−1.65614	+	4.99594i	−0.0576595	+	0.173936i
$826$	8.86146	−	7.25118i	0.308330	−	0.252301i
$827$	9.50558	−	1.89078i	0.330541	−	0.0657488i	−0.0270299	−	0.999635i	$-0.508605\pi$
$827$	9.50558	−	1.89078i	0.330541	−	0.0657488i	0.357571	+	0.933886i	$0.383605\pi$
$828$	−9.12767	−	4.37222i	−0.317208	−	0.151945i
$829$	−15.4321	+	10.3114i	−0.535981	+	0.358131i	−0.793912	−	0.608032i	$-0.791959\pi$
$829$	−15.4321	+	10.3114i	−0.535981	+	0.358131i	0.257932	+	0.966163i	$0.416959\pi$
$830$	−41.4070	+	4.01831i	−1.43726	+	0.139477i
$831$	−24.9026	−	21.5259i	−0.863862	−	0.746725i
$832$	−3.83819	+	1.55129i	−0.133065	+	0.0537813i
$833$		−	12.9826i		−	0.449820i
$834$	0.201220	+	0.142458i	0.00696768	+	0.00493291i
$835$	−11.8455	−	17.7281i	−0.409932	−	0.613507i
$836$	−17.1448	+	25.5004i	−0.592965	+	0.881950i
$837$	−18.6708	−	7.26846i	−0.645358	−	0.251235i
$838$	−24.4313	−	29.8568i	−0.843964	−	1.03139i
$839$	3.03693	+	7.33179i	0.104846	+	0.253121i	0.967593	−	0.252515i	$-0.0812577\pi$
$839$	3.03693	+	7.33179i	0.104846	+	0.253121i	−0.862747	+	0.505636i	$0.831258\pi$
$840$	−13.3488	−	14.1712i	−0.460579	−	0.488953i
$841$	2.07810	−	5.01698i	0.0716587	−	0.172999i
$842$	7.84328	+	25.9899i	0.270297	+	0.895671i
$843$	−0.127302	−	0.461858i	−0.00438450	−	0.0159072i
$844$	−17.5894	−	0.0504307i	−0.605453	−	0.00173590i
$845$	4.62048	−	23.2287i	0.158950	−	0.799093i
$846$	−26.6402	−	36.1836i	−0.915909	−	1.24402i
$847$	10.7340	+	10.7340i	0.368824	+	0.368824i
$848$	−35.9291	−	7.36117i	−1.23381	−	0.252784i
$849$	−11.3973	+	0.828920i	−0.391155	+	0.0284485i
$850$	−3.38496	+	11.1014i	−0.116103	+	0.380775i
$851$	0.170620	−	0.857765i	0.00584878	−	0.0294038i
$852$	2.86377	+	5.74497i	0.0981111	+	0.196819i
$853$	−22.1188	−	14.7793i	−0.757334	−	0.506034i	0.115945	−	0.993256i	$-0.463011\pi$
$853$	−22.1188	−	14.7793i	−0.757334	−	0.506034i	−0.873279	+	0.487221i	$0.838011\pi$
$854$	19.9349	−	37.1674i	0.682159	−	1.27184i
$855$	10.6434	−	42.1226i	0.363996	−	1.44056i
$856$	−15.8409	−	4.87977i	−0.541430	−	0.166787i
$857$	−9.50073	−	22.9368i	−0.324539	−	0.783506i	−0.998979	−	0.0451767i	$-0.985615\pi$
$857$	−9.50073	−	22.9368i	−0.324539	−	0.783506i	0.674440	−	0.738330i	$-0.264385\pi$
$858$	1.81590	−	1.72037i	0.0619937	−	0.0587325i
$859$	22.9079	−	4.55667i	0.781609	−	0.155472i	0.211870	−	0.977298i	$-0.432045\pi$
$859$	22.9079	−	4.55667i	0.781609	−	0.155472i	0.569738	+	0.821826i	$0.307045\pi$
$860$	−22.4147	−	4.52541i	−0.764335	−	0.154315i
$861$	−1.73683	+	13.9635i	−0.0591909	+	0.475874i
$862$	−41.1989	−	33.9100i	−1.40324	−	1.15498i
$863$			17.8714i			0.608348i	0.952616	+	0.304174i	$0.0983805\pi$
$863$			17.8714i			0.608348i	−0.952616	+	0.304174i	$0.901620\pi$
$864$	−29.2082	+	3.29873i	−0.993683	+	0.112225i
$865$			1.57885i			0.0536826i
$866$	−30.6157	+	37.1965i	−1.04037	+	1.26399i
$867$	−2.43810	+	19.6014i	−0.0828021	+	0.665699i
$868$	13.7247	−	9.11375i	0.465847	−	0.309341i
$869$	−21.2252	+	4.22195i	−0.720015	+	0.143220i
$870$	18.3877	+	19.4087i	0.623402	+	0.658017i
$871$	−2.72309	−	6.57413i	−0.0922685	−	0.222756i
$872$	−0.804902	−	8.54907i	−0.0272574	−	0.289508i
$873$	−9.20140	+	36.4158i	−0.311420	+	1.23249i
$874$	16.3667	+	8.77835i	0.553610	+	0.296932i
$875$	21.6091	+	14.4387i	0.730520	+	0.488118i
$876$	−11.5268	+	34.4410i	−0.389455	+	1.16365i
$877$	6.84076	−	34.3908i	0.230996	−	1.16130i	−0.674937	−	0.737875i	$-0.735829\pi$
$877$	6.84076	−	34.3908i	0.230996	−	1.16130i	0.905933	−	0.423420i	$-0.139171\pi$
$878$	−18.8933	−	5.76081i	−0.637618	−	0.194418i
$879$	−9.24046	+	0.672053i	−0.311673	+	0.0226678i
$880$	14.6832	+	0.0841972i	0.494971	+	0.00283829i
$881$	28.8509	+	28.8509i	0.972011	+	0.972011i	0.999619	−	0.0276079i	$-0.00878900\pi$
$881$	28.8509	+	28.8509i	0.972011	+	0.972011i	−0.0276079	+	0.999619i	$0.508789\pi$
$882$	−8.32253	+	6.12747i	−0.280234	+	0.206323i
$883$	0.878665	−	4.41735i	0.0295694	−	0.148656i	−0.963180	−	0.268857i	$-0.913354\pi$
$883$	0.878665	−	4.41735i	0.0295694	−	0.148656i	0.992750	+	0.120201i	$0.0383541\pi$
$884$	3.91147	−	3.88910i	0.131557	−	0.130805i
$885$	−3.24454	−	11.7714i	−0.109064	−	0.395691i
$886$	0.284256	−	0.0857833i	0.00954977	−	0.00288195i
$887$	17.2807	−	41.7193i	0.580229	−	1.40080i	−0.312376	−	0.949958i	$-0.601125\pi$
$887$	17.2807	−	41.7193i	0.580229	−	1.40080i	0.892605	−	0.450839i	$-0.148875\pi$
$888$	−0.901494	−	2.37465i	−0.0302522	−	0.0796882i
$889$	2.10267	+	5.07629i	0.0705212	+	0.170253i
$890$	−12.1563	+	9.94732i	−0.407481	+	0.333435i
$891$	15.6980	−	8.30781i	0.525902	−	0.278322i
$892$	−37.2258	+	7.29377i	−1.24641	+	0.244214i
$893$	45.8090	+	68.5580i	1.53294	+	2.29421i
$894$	−33.5284	+	47.3584i	−1.12136	+	1.58390i
$895$			9.43905i			0.315513i
$896$	11.6071	−	21.2008i	0.387765	−	0.708268i
$897$	−1.14379	−	0.988696i	−0.0381901	−	0.0330116i
$898$	−3.29714	−	33.9756i	−0.110027	−	1.13378i
$899$	−18.8122	+	12.5699i	−0.627423	+	0.419230i
$900$	8.71421	−	3.06966i	0.290474	−	0.102322i
$901$	47.9270	−	9.53327i	1.59668	−	0.317599i
$902$	−6.72088	−	8.21339i	−0.223781	−	0.273476i
$903$	7.15659	−	21.5887i	0.238156	−	0.718426i
$904$	−1.27479	−	0.688457i	−0.0423990	−	0.0228977i
$905$	14.3953	+	5.96272i	0.478515	+	0.198207i
$906$	11.9608	−	26.8048i	0.397373	−	0.890531i
$907$	7.10293	+	4.74603i	0.235849	+	0.157589i	0.667879	−	0.744270i	$-0.267202\pi$
$907$	7.10293	+	4.74603i	0.235849	+	0.157589i	−0.432030	+	0.901859i	$0.642202\pi$
$908$	20.0224	+	20.1376i	0.664467	+	0.668288i
$909$	12.2191	+	0.625508i	0.405281	+	0.0207468i
$910$	−1.36726	−	2.56680i	−0.0453241	−	0.0850886i
$911$	28.2259	−	28.2259i	0.935166	−	0.935166i	−0.0628561	−	0.998023i	$-0.520021\pi$
$911$	28.2259	−	28.2259i	0.935166	−	0.935166i	0.998023	+	0.0628561i	$0.0200209\pi$
$912$	53.8188	−	3.60409i	1.78212	−	0.119343i
$913$	22.0674	+	22.0674i	0.730325	+	0.730325i
$914$	−11.0203	+	36.1424i	−0.364518	+	1.19548i
$915$	−27.6344	−	35.4854i	−0.913563	−	1.17311i
$916$	16.0696	+	39.1123i	0.530955	+	1.29231i
$917$	14.6004	−	21.8511i	0.482149	−	0.721587i
$918$	34.1631	−	19.1496i	1.12755	−	0.632030i
$919$	2.20507	−	5.32351i	0.0727386	−	0.175606i	−0.883328	−	0.468755i	$-0.844703\pi$
$919$	2.20507	−	5.32351i	0.0727386	−	0.175606i	0.956067	+	0.293148i	$0.0947029\pi$
$920$	−0.831887	−	8.83568i	−0.0274265	−	0.291304i
$921$	−1.98323	+	5.98263i	−0.0653496	+	0.197135i
$922$	4.52027	−	45.2302i	0.148867	−	1.48958i
$923$	0.187076	+	0.940492i	0.00615767	+	0.0309567i
$924$	−1.84421	+	14.4876i	−0.0606700	+	0.476605i
$925$	0.443554	+	0.663825i	0.0145840	+	0.0218264i
$926$	−18.8854	−	15.5442i	−0.620612	−	0.510814i
$927$	5.67116	+	38.7819i	0.186265	+	1.27376i
$928$	−15.8565	+	29.1607i	−0.520514	+	0.957245i
$929$	28.7104			0.941959			0.470980	−	0.882144i	$-0.343901\pi$
$929$	28.7104			0.941959			0.470980	+	0.882144i	$0.343901\pi$
$930$	−2.96098	−	17.3177i	−0.0970943	−	0.567869i
$931$	15.7689	−	10.5365i	0.516806	−	0.345318i
$932$	−3.88497	+	19.2426i	−0.127256	+	0.630311i
$933$	−7.99139	+	14.0730i	−0.261626	+	0.460729i
$934$	−2.79218	+	27.9388i	−0.0913629	+	0.914186i
$935$	−18.0748	+	7.48684i	−0.591110	+	0.244846i
$936$	−4.33924	−	0.671897i	−0.141833	−	0.0219616i
$937$	5.02224	+	2.08028i	0.164070	+	0.0679598i	0.463207	−	0.886250i	$-0.346699\pi$
$937$	5.02224	+	2.08028i	0.164070	+	0.0679598i	−0.299137	+	0.954210i	$0.596699\pi$
$938$	36.6114	+	19.6367i	1.19540	+	0.641162i
$939$	−1.49507	−	5.42421i	−0.0487898	−	0.177012i
$940$	15.1823	−	36.3582i	0.495193	−	1.18587i
$941$	−52.9443	−	10.5313i	−1.72593	−	0.343310i	−0.770259	−	0.637731i	$-0.779873\pi$
$941$	−52.9443	−	10.5313i	−1.72593	−	0.343310i	−0.955676	+	0.294421i	$0.904873\pi$
$942$	30.5080	+	48.4409i	0.994004	+	1.57829i
$943$	−4.53566	+	4.53566i	−0.147701	+	0.147701i
$944$	12.6526	−	8.34966i	0.411807	−	0.271758i
$945$	−4.46203	−	20.1614i	−0.145150	−	0.655850i
$946$	8.06465	+	15.1401i	0.262204	+	0.492246i
$947$	25.4282	+	5.05798i	0.826304	+	0.164362i	0.590089	−	0.807339i	$-0.299093\pi$
$947$	25.4282	+	5.05798i	0.826304	+	0.164362i	0.236216	+	0.971701i	$0.424093\pi$
$948$	28.6680	+	24.9247i	0.931095	+	0.809517i
$949$	−3.01420	+	4.51107i	−0.0978450	+	0.146435i
$950$	−16.2312	+	4.89827i	−0.526609	+	0.158921i
$951$	−10.8044	−	21.5197i	−0.350356	−	0.697826i
$952$	−3.29435	+	32.0351i	−0.106770	+	1.03826i
$953$	−33.7845	+	13.9940i	−1.09439	+	0.453310i	−0.855535	−	0.517746i	$-0.826771\pi$
$953$	−33.7845	+	13.9940i	−1.09439	+	0.453310i	−0.238853	+	0.971056i	$0.576771\pi$
$954$	−28.7317	−	26.2243i	−0.930224	−	0.849043i
$955$	2.93745	+	14.7676i	0.0950538	+	0.477868i
$956$	41.1574	+	27.6715i	1.33113	+	0.894961i
$957$	2.47560	−	19.9030i	0.0800248	−	0.643371i
$958$	1.71708	+	17.6938i	0.0554763	+	0.571660i
$959$	15.7521			0.508661
$960$	−15.6612	−	20.4714i	−0.505462	−	0.660711i
$961$	−16.1322			−0.520394
$962$	−0.0366499	−	0.377662i	−0.00118164	−	0.0121763i
$963$	−11.7798	−	13.0509i	−0.379598	−	0.420559i
$964$	−3.46082	+	5.14747i	−0.111465	+	0.165789i
$965$	−0.688712	−	3.46239i	−0.0221704	−	0.111458i
$966$	8.82379	+	0.238360i	0.283901	+	0.00766911i
$967$	29.4119	−	12.1828i	0.945822	−	0.391772i	0.144163	−	0.989554i	$-0.453951\pi$
$967$	29.4119	−	12.1828i	0.945822	−	0.391772i	0.801659	+	0.597781i	$0.203951\pi$
$968$	12.6829	+	15.5904i	0.407644	+	0.501094i
$969$	−64.2276	+	32.2466i	−2.06329	+	1.03591i
$970$	−31.5314	+	9.51561i	−1.01241	+	0.305528i
$971$	24.0922	−	36.0565i	0.773154	−	1.15711i	−0.210597	−	0.977573i	$-0.567541\pi$
$971$	24.0922	−	36.0565i	0.773154	−	1.15711i	0.983752	−	0.179534i	$-0.0574591\pi$
$972$	−28.4001	−	12.8622i	−0.910932	−	0.412555i
$973$	−0.210895	−	0.0419497i	−0.00676099	−	0.00134484i
$974$	−18.8392	−	35.3675i	−0.603646	−	1.13325i
$975$	1.37653	−	0.100114i	0.0440841	−	0.00320621i
$976$	31.2881	−	46.2496i	1.00151	−	1.48041i
$977$	22.3647	−	22.3647i	0.715511	−	0.715511i	−0.252171	−	0.967683i	$-0.581145\pi$
$977$	22.3647	−	22.3647i	0.715511	−	0.715511i	0.967683	+	0.252171i	$0.0811447\pi$
$978$	−6.85147	+	4.31504i	−0.219086	+	0.137980i
$979$	11.5568	+	2.29879i	0.369358	+	0.0734698i
$980$	−8.36269	−	3.49206i	−0.267136	−	0.111550i
$981$	3.91101	−	8.22528i	0.124869	−	0.262613i
$982$	23.9621	+	12.8522i	0.764661	+	0.410130i
$983$	−17.4944	−	7.24643i	−0.557986	−	0.231125i	0.0858247	−	0.996310i	$-0.472647\pi$
$983$	−17.4944	−	7.24643i	−0.557986	−	0.231125i	−0.643810	+	0.765185i	$0.722647\pi$
$984$	−4.17854	+	18.1547i	−0.133207	+	0.578750i
$985$	21.5266	−	8.91661i	0.685895	−	0.284107i
$986$	4.39798	−	44.0066i	0.140060	−	1.40146i
$987$	34.0778	+	19.3512i	1.08471	+	0.615955i
$988$	7.89827	+	1.59462i	0.251278	+	0.0507316i
$989$	8.62066	−	5.76014i	0.274121	−	0.183162i
$990$	13.3303	+	8.05332i	0.423666	+	0.255951i
$991$	−40.3258			−1.28099			−0.640496	−	0.767962i	$-0.721271\pi$
$991$	−40.3258			−1.28099			−0.640496	+	0.767962i	$0.721271\pi$
$992$	19.3098	−	10.1440i	0.613086	−	0.322073i
$993$	−9.61799	−	8.31382i	−0.305218	−	0.263831i
$994$	−4.32267	−	3.55790i	−0.137107	−	0.112850i
$995$	17.8260	+	26.6785i	0.565122	+	0.845764i
$996$	6.91769	−	54.3433i	0.219195	−	1.72193i
$997$	−8.82625	−	44.3726i	−0.279530	−	1.40529i	−0.824037	−	0.566536i	$-0.808283\pi$
$997$	−8.82625	−	44.3726i	−0.279530	−	1.40529i	0.544507	−	0.838757i	$-0.316717\pi$
$998$	−2.13734	+	21.3864i	−0.0676562	+	0.676974i
$999$	0.468784	−	2.65299i	0.0148317	−	0.0839370i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.179.30	yes	240
3.2	odd	2	inner	192.2.s.a.179.1	yes	240
4.3	odd	2		768.2.s.a.623.28		240
12.11	even	2		768.2.s.a.623.13		240
64.5	even	16		768.2.s.a.143.13		240
64.59	odd	16	inner	192.2.s.a.59.1	✓	240
192.5	odd	16		768.2.s.a.143.28		240
192.59	even	16	inner	192.2.s.a.59.30	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.59.1	✓	240	64.59	odd	16	inner
192.2.s.a.59.30	yes	240	192.59	even	16	inner
192.2.s.a.179.1	yes	240	3.2	odd	2	inner
192.2.s.a.179.30	yes	240	1.1	even	1	trivial
768.2.s.a.143.13		240	64.5	even	16
768.2.s.a.143.28		240	192.5	odd	16
768.2.s.a.623.13		240	12.11	even	2
768.2.s.a.623.28		240	4.3	odd	2

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:	\( N \)	\(=\)	\( 192 = 2^{6} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	192.s (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(1.40760 - 0.136599i) q^{2} +(-1.71881 - 0.213791i) q^{3} +(1.96268 - 0.384555i) q^{4} +(0.362897 + 1.82441i) q^{5} +(-2.44860 - 0.0661448i) q^{6} +(1.97374 - 0.817550i) q^{7} +(2.71014 - 0.809401i) q^{8} +(2.90859 + 0.734931i) q^{9} +O(q^{10})\)	\(q+(1.40760 - 0.136599i) q^{2} +(-1.71881 - 0.213791i) q^{3} +(1.96268 - 0.384555i) q^{4} +(0.362897 + 1.82441i) q^{5} +(-2.44860 - 0.0661448i) q^{6} +(1.97374 - 0.817550i) q^{7} +(2.71014 - 0.809401i) q^{8} +(2.90859 + 0.734931i) q^{9} +(0.760027 + 2.51847i) q^{10} +(1.09638 - 1.64084i) q^{11} +(-3.45568 + 0.241371i) q^{12} +(-0.507536 - 0.100955i) q^{13} +(2.66656 - 1.42040i) q^{14} +(-0.233708 - 3.21339i) q^{15} +(3.70423 - 1.50952i) q^{16} +(-3.76856 + 3.76856i) q^{17} +(4.19452 + 0.637178i) q^{18} +(-7.63588 - 1.51887i) q^{19} +(1.41384 + 3.44118i) q^{20} +(-3.56726 + 0.983241i) q^{21} +(1.31912 - 2.45941i) q^{22} +(-1.55840 - 0.645510i) q^{23} +(-4.83125 + 0.811799i) q^{24} +(1.42263 - 0.589273i) q^{25} +(-0.728198 - 0.0727755i) q^{26} +(-4.84217 - 1.88503i) q^{27} +(3.55943 - 2.36360i) q^{28} +(-4.87885 + 3.25994i) q^{29} +(-0.767914 - 4.49124i) q^{30} +3.85588 q^{31} +(5.00789 - 2.63080i) q^{32} +(-2.23525 + 2.58589i) q^{33} +(-4.78985 + 5.81941i) q^{34} +(2.20781 + 3.30422i) q^{35} +(5.99125 + 0.323924i) q^{36} +(0.101150 + 0.508516i) q^{37} +(-10.9557 - 1.09491i) q^{38} +(0.850772 + 0.282029i) q^{39} +(2.46018 + 4.65067i) q^{40} +(1.45523 - 3.51323i) q^{41} +(-4.88697 + 1.87130i) q^{42} +(-3.41483 + 5.11066i) q^{43} +(1.52084 - 3.64207i) q^{44} +(-0.285296 + 5.57315i) q^{45} +(-2.28178 - 0.695744i) q^{46} +(-7.48879 - 7.48879i) q^{47} +(-6.68958 + 1.80264i) q^{48} +(-1.72249 + 1.72249i) q^{49} +(1.92200 - 1.02379i) q^{50} +(7.28311 - 5.67174i) q^{51} +(-1.03495 - 0.00296732i) q^{52} +(-7.62363 - 5.09395i) q^{53} +(-7.07334 - 1.99194i) q^{54} +(3.39143 + 1.40478i) q^{55} +(4.68739 - 3.81322i) q^{56} +(12.7999 + 4.24313i) q^{57} +(-6.42216 + 5.25514i) q^{58} +(3.71701 - 0.739360i) q^{59} +(-1.69442 - 6.21698i) q^{60} +(11.6071 - 7.75559i) q^{61} +(5.42753 - 0.526710i) q^{62} +(6.34164 - 0.927352i) q^{63} +(6.68974 - 4.38718i) q^{64} -0.962588i q^{65} +(-2.79311 + 3.94524i) q^{66} +(7.63957 + 11.4334i) q^{67} +(-5.94726 + 8.84570i) q^{68} +(2.54058 + 1.44268i) q^{69} +(3.55907 + 4.34944i) q^{70} +(-0.709134 - 1.71200i) q^{71} +(8.47754 - 0.362446i) q^{72} +(4.01217 - 9.68624i) q^{73} +(0.211842 + 0.701971i) q^{74} +(-2.57121 + 0.708700i) q^{75} +(-15.5709 - 0.0446433i) q^{76} +(0.822490 - 4.13494i) q^{77} +(1.23607 + 0.280769i) q^{78} +(-7.75429 - 7.75429i) q^{79} +(4.09823 + 6.21023i) q^{80} +(7.91975 + 4.27522i) q^{81} +(1.56848 - 5.14402i) q^{82} +(-3.08519 + 15.5103i) q^{83} +(-6.62328 + 3.30160i) q^{84} +(-8.24299 - 5.50779i) q^{85} +(-4.10861 + 7.66023i) q^{86} +(9.08273 - 4.56015i) q^{87} +(1.64323 - 5.33432i) q^{88} +(2.28499 + 5.51645i) q^{89} +(0.359707 + 7.88374i) q^{90} +(-1.08428 + 0.215677i) q^{91} +(-3.30688 - 0.667640i) q^{92} +(-6.62750 - 0.824352i) q^{93} +(-11.5642 - 9.51827i) q^{94} -14.4821i q^{95} +(-9.17002 + 3.45118i) q^{96} +12.5201i q^{97} +(-2.18928 + 2.65986i) q^{98} +(4.39481 - 3.96677i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

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