LMFDB - Embedded newform 950.2.h.b.191.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [950,2,Mod(191,950)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(950, base_ring=CyclotomicField(10))

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

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

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

chi := DirichletCharacter("950.191");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 950 = 2 \cdot 5^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	950.h (of order $5$, 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:	$7.58578819202$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$10$ over $\Q(\zeta_{5})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			191.8
Character	$\chi$	$=$	950.191
Dual form			950.2.h.b.761.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.809017 - 0.587785i) q^{2} +(0.416614 + 1.28220i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-1.66523 + 1.49231i) q^{5} +(0.416614 - 1.28220i) q^{6} +0.369301 q^{7} +(0.309017 - 0.951057i) q^{8} +(0.956568 - 0.694988i) q^{9} +O(q^{10})$	\(q+(-0.809017 - 0.587785i) q^{2} +(0.416614 + 1.28220i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-1.66523 + 1.49231i) q^{5} +(0.416614 - 1.28220i) q^{6} +0.369301 q^{7} +(0.309017 - 0.951057i) q^{8} +(0.956568 - 0.694988i) q^{9} +(2.22436 - 0.228508i) q^{10} +(0.816597 + 0.593292i) q^{11} +(-1.09071 + 0.792446i) q^{12} +(-3.34476 + 2.43011i) q^{13} +(-0.298771 - 0.217070i) q^{14} +(-2.60721 - 1.51345i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-2.15326 + 6.62707i) q^{17} -1.18238 q^{18} +(0.309017 - 0.951057i) q^{19} +(-1.93386 - 1.12258i) q^{20} +(0.153856 + 0.473519i) q^{21} +(-0.311912 - 0.959967i) q^{22} +(-0.217458 - 0.157993i) q^{23} +1.34819 q^{24} +(0.546002 - 4.97010i) q^{25} +4.13435 q^{26} +(4.56176 + 3.31431i) q^{27} +(0.114120 + 0.351226i) q^{28} +(-0.572226 - 1.76113i) q^{29} +(1.21969 + 2.75689i) q^{30} +(-0.000268118 + 0.000825181i) q^{31} +1.00000 q^{32} +(-0.420517 + 1.29422i) q^{33} +(5.63732 - 4.09575i) q^{34} +(-0.614972 + 0.551113i) q^{35} +(0.956568 + 0.694988i) q^{36} +(2.82420 - 2.05190i) q^{37} +(-0.809017 + 0.587785i) q^{38} +(-4.50937 - 3.27625i) q^{39} +(0.904689 + 2.04488i) q^{40} +(-9.06668 + 6.58733i) q^{41} +(0.153856 - 0.473519i) q^{42} -9.97370 q^{43} +(-0.311912 + 0.959967i) q^{44} +(-0.555770 + 2.58482i) q^{45} +(0.0830617 + 0.255637i) q^{46} +(-1.70422 - 5.24506i) q^{47} +(-1.09071 - 0.792446i) q^{48} -6.86362 q^{49} +(-3.36308 + 3.69996i) q^{50} -9.39434 q^{51} +(-3.34476 - 2.43011i) q^{52} +(1.78567 + 5.49573i) q^{53} +(-1.74244 - 5.36267i) q^{54} +(-2.24520 + 0.230648i) q^{55} +(0.114120 - 0.351226i) q^{56} +1.34819 q^{57} +(-0.572226 + 1.76113i) q^{58} +(-0.0924613 + 0.0671771i) q^{59} +(0.633706 - 2.94729i) q^{60} +(-4.78666 - 3.47771i) q^{61} +(0.000701941 - 0.000509990i) q^{62} +(0.353262 - 0.256660i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(1.94332 - 9.03813i) q^{65} +(1.10093 - 0.799871i) q^{66} +(-1.80019 + 5.54042i) q^{67} -6.96811 q^{68} +(0.111983 - 0.344648i) q^{69} +(0.821459 - 0.0843880i) q^{70} +(1.74807 + 5.38002i) q^{71} +(-0.365377 - 1.12451i) q^{72} +(-4.66329 - 3.38808i) q^{73} -3.49091 q^{74} +(6.60016 - 1.37053i) q^{75} +1.00000 q^{76} +(0.301570 + 0.219103i) q^{77} +(1.72243 + 5.30108i) q^{78} +(-2.03086 - 6.25035i) q^{79} +(0.470042 - 2.18611i) q^{80} +(-1.25301 + 3.85636i) q^{81} +11.2070 q^{82} +(-3.56637 + 10.9762i) q^{83} +(-0.402800 + 0.292651i) q^{84} +(-6.30397 - 14.2490i) q^{85} +(8.06890 + 5.86240i) q^{86} +(2.01973 - 1.46742i) q^{87} +(0.816597 - 0.593292i) q^{88} +(0.159601 + 0.115957i) q^{89} +(1.96894 - 1.76449i) q^{90} +(-1.23522 + 0.897442i) q^{91} +(0.0830617 - 0.255637i) q^{92} -0.00116975 q^{93} +(-1.70422 + 5.24506i) q^{94} +(0.904689 + 2.04488i) q^{95} +(0.416614 + 1.28220i) q^{96} +(2.69072 + 8.28119i) q^{97} +(5.55278 + 4.03433i) q^{98} +1.19346 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q - 10 q^{2} + 5 q^{3} - 10 q^{4} + 5 q^{6} - 12 q^{7} - 10 q^{8} - 3 q^{9}+O(q^{10}) $ 40 * q - 10 * q^2 + 5 * q^3 - 10 * q^4 + 5 * q^6 - 12 * q^7 - 10 * q^8 - 3 * q^9	\( 40 q - 10 q^{2} + 5 q^{3} - 10 q^{4} + 5 q^{6} - 12 q^{7} - 10 q^{8} - 3 q^{9} - 6 q^{11} + 16 q^{13} - 2 q^{14} + 16 q^{15} - 10 q^{16} - 2 q^{17} + 22 q^{18} - 10 q^{19} - 5 q^{20} + 3 q^{21} + 14 q^{22} + 4 q^{23} - 10 q^{24} - 2 q^{25} - 34 q^{26} + 29 q^{27} + 8 q^{28} + 16 q^{30} + 19 q^{31} + 40 q^{32} - 16 q^{33} + 3 q^{34} - 24 q^{35} - 3 q^{36} + q^{37} - 10 q^{38} - 7 q^{39} + 5 q^{40} + 20 q^{41} + 3 q^{42} - 48 q^{43} + 14 q^{44} + 53 q^{45} + 4 q^{46} + 29 q^{47} + 28 q^{49} + 3 q^{50} - 122 q^{51} + 16 q^{52} - 5 q^{53} - 6 q^{54} + 56 q^{55} + 8 q^{56} - 10 q^{57} + 20 q^{59} - 19 q^{60} + 42 q^{61} - 21 q^{62} + 9 q^{63} - 10 q^{64} + 35 q^{65} + 24 q^{66} - 3 q^{67} - 2 q^{68} - 9 q^{69} - 19 q^{70} + 18 q^{71} - 8 q^{72} + 8 q^{73} - 64 q^{74} + 7 q^{75} + 40 q^{76} + 35 q^{77} - 2 q^{78} + q^{79} + 59 q^{81} - 30 q^{82} + 11 q^{83} - 7 q^{84} - 125 q^{85} + 32 q^{86} - 31 q^{87} - 6 q^{88} - 34 q^{89} - 7 q^{90} + 10 q^{91} + 4 q^{92} + 24 q^{93} + 29 q^{94} + 5 q^{95} + 5 q^{96} + 90 q^{97} - 12 q^{98} + 10 q^{99}+O(q^{100}) \) 40 * q - 10 * q^2 + 5 * q^3 - 10 * q^4 + 5 * q^6 - 12 * q^7 - 10 * q^8 - 3 * q^9 - 6 * q^11 + 16 * q^13 - 2 * q^14 + 16 * q^15 - 10 * q^16 - 2 * q^17 + 22 * q^18 - 10 * q^19 - 5 * q^20 + 3 * q^21 + 14 * q^22 + 4 * q^23 - 10 * q^24 - 2 * q^25 - 34 * q^26 + 29 * q^27 + 8 * q^28 + 16 * q^30 + 19 * q^31 + 40 * q^32 - 16 * q^33 + 3 * q^34 - 24 * q^35 - 3 * q^36 + q^37 - 10 * q^38 - 7 * q^39 + 5 * q^40 + 20 * q^41 + 3 * q^42 - 48 * q^43 + 14 * q^44 + 53 * q^45 + 4 * q^46 + 29 * q^47 + 28 * q^49 + 3 * q^50 - 122 * q^51 + 16 * q^52 - 5 * q^53 - 6 * q^54 + 56 * q^55 + 8 * q^56 - 10 * q^57 + 20 * q^59 - 19 * q^60 + 42 * q^61 - 21 * q^62 + 9 * q^63 - 10 * q^64 + 35 * q^65 + 24 * q^66 - 3 * q^67 - 2 * q^68 - 9 * q^69 - 19 * q^70 + 18 * q^71 - 8 * q^72 + 8 * q^73 - 64 * q^74 + 7 * q^75 + 40 * q^76 + 35 * q^77 - 2 * q^78 + q^79 + 59 * q^81 - 30 * q^82 + 11 * q^83 - 7 * q^84 - 125 * q^85 + 32 * q^86 - 31 * q^87 - 6 * q^88 - 34 * q^89 - 7 * q^90 + 10 * q^91 + 4 * q^92 + 24 * q^93 + 29 * q^94 + 5 * q^95 + 5 * q^96 + 90 * q^97 - 12 * q^98 + 10 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/950\mathbb{Z}\right)^\times$.

$n$	$77$	$401$
$\chi(n)$	$e\left(\frac{1}{5}\right)$	$1$

Coefficient data

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

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

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

$2$	−0.809017	−	0.587785i	−0.572061	−	0.415627i
$2$	−0.809017	−	0.587785i	−0.572061	−	0.415627i
$3$	0.416614	+	1.28220i	0.240532	+	0.740281i	0.996339	+	0.0854872i	$0.0272447\pi$
$3$	0.416614	+	1.28220i	0.240532	+	0.740281i	−0.755807	+	0.654794i	$0.772755\pi$
$4$	0.309017	+	0.951057i	0.154508	+	0.475528i
$5$	−1.66523	+	1.49231i	−0.744715	+	0.667383i
$5$	−1.66523	+	1.49231i	−0.744715	+	0.667383i
$6$	0.416614	−	1.28220i	0.170082	−	0.523458i
$7$	0.369301			0.139583			0.0697913	−	0.997562i	$-0.477767\pi$
$7$	0.369301			0.139583			0.0697913	+	0.997562i	$0.477767\pi$
$8$	0.309017	−	0.951057i	0.109254	−	0.336249i
$9$	0.956568	−	0.694988i	0.318856	−	0.231663i
$10$	2.22436	−	0.228508i	0.703405	−	0.0722604i
$11$	0.816597	+	0.593292i	0.246213	+	0.178884i	0.704047	−	0.710154i	$-0.251374\pi$
$11$	0.816597	+	0.593292i	0.246213	+	0.178884i	−0.457834	+	0.889038i	$0.651374\pi$
$12$	−1.09071	+	0.792446i	−0.314860	+	0.228760i
$13$	−3.34476	+	2.43011i	−0.927669	+	0.673991i	−0.945421	−	0.325851i	$-0.894349\pi$
$13$	−3.34476	+	2.43011i	−0.927669	+	0.673991i	0.0177518	+	0.999842i	$0.494349\pi$
$14$	−0.298771	−	0.217070i	−0.0798498	−	0.0580143i
$15$	−2.60721	−	1.51345i	−0.673179	−	0.390772i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	−2.15326	+	6.62707i	−0.522243	+	1.60730i	0.247460	+	0.968898i	$0.420404\pi$
$17$	−2.15326	+	6.62707i	−0.522243	+	1.60730i	−0.769703	+	0.638402i	$0.779596\pi$
$18$	−1.18238			−0.278690
$19$	0.309017	−	0.951057i	0.0708934	−	0.218187i
$19$	0.309017	−	0.951057i	0.0708934	−	0.218187i
$20$	−1.93386	−	1.12258i	−0.432424	−	0.251017i
$21$	0.153856	+	0.473519i	0.0335741	+	0.103330i
$22$	−0.311912	−	0.959967i	−0.0664999	−	0.204666i
$23$	−0.217458	−	0.157993i	−0.0453432	−	0.0329437i	0.564883	−	0.825171i	$-0.308921\pi$
$23$	−0.217458	−	0.157993i	−0.0453432	−	0.0329437i	−0.610226	+	0.792227i	$0.708921\pi$
$24$	1.34819			0.275198
$25$	0.546002	−	4.97010i	0.109200	−	0.994020i
$26$	4.13435			0.810813
$27$	4.56176	+	3.31431i	0.877912	+	0.637840i
$28$	0.114120	+	0.351226i	0.0215667	+	0.0663755i
$29$	−0.572226	−	1.76113i	−0.106260	−	0.327034i	0.883764	−	0.467932i	$-0.155001\pi$
$29$	−0.572226	−	1.76113i	−0.106260	−	0.327034i	−0.990024	+	0.140898i	$0.955001\pi$
$30$	1.21969	+	2.75689i	0.222684	+	0.503337i
$31$	−0.000268118	0	0.000825181i	−4.81554e−5	0	0.000148207i	−0.951081	−	0.308943i	$-0.900025\pi$
$31$	−0.000268118	0	0.000825181i	−4.81554e−5	0	0.000148207i	0.951032	+	0.309091i	$0.100025\pi$
$32$	1.00000			0.176777
$33$	−0.420517	+	1.29422i	−0.0732026	+	0.225294i
$34$	5.63732	−	4.09575i	0.966792	−	0.702416i
$35$	−0.614972	+	0.551113i	−0.103949	+	0.0931550i
$36$	0.956568	+	0.694988i	0.159428	+	0.115831i
$37$	2.82420	−	2.05190i	0.464296	−	0.337331i	−0.330918	−	0.943660i	$-0.607358\pi$
$37$	2.82420	−	2.05190i	0.464296	−	0.337331i	0.795214	+	0.606328i	$0.207358\pi$
$38$	−0.809017	+	0.587785i	−0.131240	+	0.0953514i
$39$	−4.50937	−	3.27625i	−0.722077	−	0.524620i
$40$	0.904689	+	2.04488i	0.143044	+	0.323324i
$41$	−9.06668	+	6.58733i	−1.41598	+	1.02877i	−0.423558	+	0.905869i	$0.639219\pi$
$41$	−9.06668	+	6.58733i	−1.41598	+	1.02877i	−0.992419	+	0.122899i	$0.960781\pi$
$42$	0.153856	−	0.473519i	0.0237405	−	0.0730656i
$43$	−9.97370			−1.52098			−0.760488	−	0.649352i	$-0.775040\pi$
$43$	−9.97370			−1.52098			−0.760488	+	0.649352i	$0.775040\pi$
$44$	−0.311912	+	0.959967i	−0.0470225	+	0.144720i
$45$	−0.555770	+	2.58482i	−0.0828493	+	0.385322i
$46$	0.0830617	+	0.255637i	0.0122468	+	0.0376917i
$47$	−1.70422	−	5.24506i	−0.248586	−	0.765070i	−0.995026	−	0.0996169i	$-0.968238\pi$
$47$	−1.70422	−	5.24506i	−0.248586	−	0.765070i	0.746440	−	0.665453i	$-0.231762\pi$
$48$	−1.09071	−	0.792446i	−0.157430	−	0.114380i
$49$	−6.86362			−0.980517
$50$	−3.36308	+	3.69996i	−0.475611	+	0.523254i
$51$	−9.39434			−1.31547
$52$	−3.34476	−	2.43011i	−0.463835	−	0.336996i
$53$	1.78567	+	5.49573i	0.245281	+	0.754897i	0.995590	+	0.0938098i	$0.0299046\pi$
$53$	1.78567	+	5.49573i	0.245281	+	0.754897i	−0.750309	+	0.661087i	$0.770095\pi$
$54$	−1.74244	−	5.36267i	−0.237116	−	0.729767i
$55$	−2.24520	+	0.230648i	−0.302743	+	0.0311006i
$56$	0.114120	−	0.351226i	0.0152500	−	0.0469346i
$57$	1.34819			0.178572
$58$	−0.572226	+	1.76113i	−0.0751370	+	0.231248i
$59$	−0.0924613	+	0.0671771i	−0.0120374	+	0.00874571i	−0.593788	−	0.804622i	$-0.702368\pi$
$59$	−0.0924613	+	0.0671771i	−0.0120374	+	0.00874571i	0.581750	+	0.813367i	$0.302368\pi$
$60$	0.633706	−	2.94729i	0.0818111	−	0.380493i
$61$	−4.78666	−	3.47771i	−0.612868	−	0.445275i	0.237555	−	0.971374i	$-0.423654\pi$
$61$	−4.78666	−	3.47771i	−0.612868	−	0.445275i	−0.850423	+	0.526099i	$0.823654\pi$
$62$	0.000701941	0	0.000509990i	8.91466e−5	0	6.47688e-5i
$63$	0.353262	−	0.256660i	0.0445068	−	0.0323361i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	1.94332	−	9.03813i	0.241039	−	1.12104i
$66$	1.10093	−	0.799871i	0.135515	−	0.0984573i
$67$	−1.80019	+	5.54042i	−0.219928	+	0.676869i	0.778839	+	0.627224i	$0.215809\pi$
$67$	−1.80019	+	5.54042i	−0.219928	+	0.676869i	−0.998767	+	0.0496452i	$0.984191\pi$
$68$	−6.96811			−0.845007
$69$	0.111983	−	0.344648i	0.0134812	−	0.0414907i
$70$	0.821459	−	0.0843880i	0.0981831	−	0.0100863i
$71$	1.74807	+	5.38002i	0.207458	+	0.638491i	0.999603	+	0.0281583i	$0.00896426\pi$
$71$	1.74807	+	5.38002i	0.207458	+	0.638491i	−0.792145	+	0.610333i	$0.791036\pi$
$72$	−0.365377	−	1.12451i	−0.0430600	−	0.132525i
$73$	−4.66329	−	3.38808i	−0.545797	−	0.396545i	0.280436	−	0.959873i	$-0.409521\pi$
$73$	−4.66329	−	3.38808i	−0.545797	−	0.396545i	−0.826234	+	0.563328i	$0.809521\pi$
$74$	−3.49091			−0.405810
$75$	6.60016	−	1.37053i	0.762120	−	0.158255i
$76$	1.00000			0.114708
$77$	0.301570	+	0.219103i	0.0343671	+	0.0249691i
$78$	1.72243	+	5.30108i	0.195026	+	0.600230i
$79$	−2.03086	−	6.25035i	−0.228490	−	0.703220i	−0.997919	−	0.0644870i	$-0.979459\pi$
$79$	−2.03086	−	6.25035i	−0.228490	−	0.703220i	0.769429	−	0.638733i	$-0.220541\pi$
$80$	0.470042	−	2.18611i	0.0525523	−	0.244414i
$81$	−1.25301	+	3.85636i	−0.139223	+	0.428485i
$82$	11.2070			1.23761
$83$	−3.56637	+	10.9762i	−0.391460	+	1.20479i	0.540225	+	0.841521i	$0.318339\pi$
$83$	−3.56637	+	10.9762i	−0.391460	+	1.20479i	−0.931684	+	0.363269i	$0.881661\pi$
$84$	−0.402800	+	0.292651i	−0.0439491	+	0.0319309i
$85$	−6.30397	−	14.2490i	−0.683762	−	1.54552i
$86$	8.06890	+	5.86240i	0.870092	+	0.632158i
$87$	2.01973	−	1.46742i	0.216538	−	0.157324i
$88$	0.816597	−	0.593292i	0.0870495	−	0.0632452i
$89$	0.159601	+	0.115957i	0.0169176	+	0.0122914i	0.596212	−	0.802827i	$-0.296672\pi$
$89$	0.159601	+	0.115957i	0.0169176	+	0.0122914i	−0.579294	+	0.815118i	$0.696672\pi$
$90$	1.96894	−	1.76449i	0.207545	−	0.185993i
$91$	−1.23522	+	0.897442i	−0.129487	+	0.0940775i
$92$	0.0830617	−	0.255637i	0.00865978	−	0.0266521i
$93$	−0.00116975			−0.000121298
$94$	−1.70422	+	5.24506i	−0.175777	+	0.540986i
$95$	0.904689	+	2.04488i	0.0928191	+	0.209800i
$96$	0.416614	+	1.28220i	0.0425205	+	0.130864i
$97$	2.69072	+	8.28119i	0.273201	+	0.840827i	0.989690	+	0.143228i	$0.0457483\pi$
$97$	2.69072	+	8.28119i	0.273201	+	0.840827i	−0.716488	+	0.697599i	$0.754252\pi$
$98$	5.55278	+	4.03433i	0.560916	+	0.407529i
$99$	1.19346			0.119947
$100$	4.89557	−	1.01657i	0.489557	−	0.101657i
$101$	8.48990			0.844777			0.422388	−	0.906415i	$-0.361192\pi$
$101$	8.48990			0.844777			0.422388	+	0.906415i	$0.361192\pi$
$102$	7.60018	+	5.52185i	0.752530	+	0.546745i
$103$	−1.98796	−	6.11832i	−0.195880	−	0.602856i	−0.999965	−	0.00834225i	$-0.997345\pi$
$103$	−1.98796	−	6.11832i	−0.195880	−	0.602856i	0.804085	−	0.594514i	$-0.202655\pi$
$104$	1.27758	+	3.93200i	0.125277	+	0.385564i
$105$	−0.962845	−	0.558919i	−0.0939641	−	0.0545449i
$106$	1.78567	−	5.49573i	0.173440	−	0.533793i
$107$	−6.56651			−0.634809			−0.317404	−	0.948290i	$-0.602811\pi$
$107$	−6.56651			−0.634809			−0.317404	+	0.948290i	$0.602811\pi$
$108$	−1.74244	+	5.36267i	−0.167666	+	0.516023i
$109$	10.7887	−	7.83843i	1.03337	−	0.750785i	0.0643873	−	0.997925i	$-0.479491\pi$
$109$	10.7887	−	7.83843i	1.03337	−	0.750785i	0.968980	+	0.247140i	$0.0794907\pi$
$110$	1.95198	+	1.13310i	0.186114	+	0.108037i
$111$	3.80756	+	2.76636i	0.361398	+	0.262571i
$112$	−0.298771	+	0.217070i	−0.0282312	+	0.0205112i
$113$	−6.23268	+	4.52831i	−0.586322	+	0.425988i	−0.840998	−	0.541039i	$-0.818031\pi$
$113$	−6.23268	+	4.52831i	−0.586322	+	0.425988i	0.254676	+	0.967026i	$0.418031\pi$
$114$	−1.09071	−	0.792446i	−0.102154	−	0.0742194i
$115$	0.597893	−	0.0614213i	0.0557538	−	0.00572756i
$116$	1.49811	−	1.08844i	0.139096	−	0.101059i
$117$	−1.51059	+	4.64913i	−0.139655	+	0.429812i
$118$	0.114288			0.0105211
$119$	−0.795203	+	2.44738i	−0.0728961	+	0.224351i
$120$	−2.24505	+	2.01192i	−0.204944	+	0.183663i
$121$	−3.08435	−	9.49266i	−0.280396	−	0.862969i
$122$	1.82834	+	5.62705i	0.165530	+	0.509449i
$123$	−12.2236	−	8.88097i	−1.10217	−	0.800770i
$124$	−0.000867647	0		−7.79170e−5	0
$125$	6.50773	+	9.09118i	0.582069	+	0.813140i
$126$	−0.436655			−0.0389003
$127$	13.7334	+	9.97788i	1.21864	+	0.885393i	0.995986	−	0.0895045i	$-0.0285283\pi$
$127$	13.7334	+	9.97788i	1.21864	+	0.885393i	0.222653	+	0.974898i	$0.428528\pi$
$128$	0.309017	+	0.951057i	0.0273135	+	0.0840623i
$129$	−4.15518	−	12.7883i	−0.365843	−	1.12595i
$130$	−6.88466	+	6.16975i	−0.603824	+	0.541122i
$131$	−3.00169	+	9.23825i	−0.262259	+	0.807149i	0.730054	+	0.683390i	$0.239495\pi$
$131$	−3.00169	+	9.23825i	−0.262259	+	0.807149i	−0.992312	+	0.123759i	$0.960505\pi$
$132$	−1.36082			−0.118444
$133$	0.114120	−	0.351226i	0.00989548	−	0.0304552i
$134$	4.71296	−	3.42417i	0.407138	−	0.295803i
$135$	−12.5424	+	1.28847i	−1.07948	+	0.110894i
$136$	5.63732	+	4.09575i	0.483396	+	0.351208i
$137$	−1.31931	+	0.958538i	−0.112717	+	0.0818934i	−0.642716	−	0.766105i	$-0.722192\pi$
$137$	−1.31931	+	0.958538i	−0.112717	+	0.0818934i	0.529999	+	0.847998i	$0.322192\pi$
$138$	−0.293175	+	0.213004i	−0.0249567	+	0.0181321i
$139$	9.13398	+	6.63622i	0.774734	+	0.562877i	0.903394	−	0.428812i	$-0.141068\pi$
$139$	9.13398	+	6.63622i	0.774734	+	0.562877i	−0.128660	+	0.991689i	$0.541068\pi$
$140$	−0.714176	−	0.414570i	−0.0603589	−	0.0350376i
$141$	6.01524	−	4.37032i	0.506574	−	0.368048i
$142$	1.74807	−	5.38002i	0.146695	−	0.451481i
$143$	−4.17308			−0.348971
$144$	−0.365377	+	1.12451i	−0.0304480	+	0.0937095i
$145$	3.58105	+	2.07875i	0.297390	+	0.172631i
$146$	1.78122	+	5.48203i	0.147415	+	0.453696i
$147$	−2.85948	−	8.80056i	−0.235846	−	0.725858i
$148$	2.82420	+	2.05190i	0.232148	+	0.168666i
$149$	−0.920694			−0.0754262			−0.0377131	−	0.999289i	$-0.512007\pi$
$149$	−0.920694			−0.0754262			−0.0377131	+	0.999289i	$0.512007\pi$
$150$	−6.14521	−	2.77070i	−0.501755	−	0.226226i
$151$	−4.93358			−0.401489			−0.200745	−	0.979644i	$-0.564336\pi$
$151$	−4.93358			−0.401489			−0.200745	+	0.979644i	$0.564336\pi$
$152$	−0.809017	−	0.587785i	−0.0656199	−	0.0476757i
$153$	2.54598	+	7.83573i	0.205831	+	0.633482i
$154$	−0.115189	−	0.354517i	−0.00928223	−	0.0285678i
$155$	−0.000784951	−	0.00177423i	−6.30488e−5	−	0.000142510i
$156$	1.72243	−	5.30108i	0.137904	−	0.424426i
$157$	23.1951			1.85117			0.925585	−	0.378541i	$-0.123574\pi$
$157$	23.1951			1.85117			0.925585	+	0.378541i	$0.123574\pi$
$158$	−2.03086	+	6.25035i	−0.161567	+	0.497252i
$159$	−6.30272	+	4.57919i	−0.499838	+	0.363154i
$160$	−1.66523	+	1.49231i	−0.131648	+	0.117978i
$161$	−0.0803075	−	0.0583468i	−0.00632912	−	0.00459837i
$162$	3.28042	−	2.38336i	0.257734	−	0.187255i
$163$	−8.11012	+	5.89234i	−0.635233	+	0.461524i	−0.858209	−	0.513300i	$-0.828423\pi$
$163$	−8.11012	+	5.89234i	−0.635233	+	0.461524i	0.222976	+	0.974824i	$0.428423\pi$
$164$	−9.06668	−	6.58733i	−0.707989	−	0.514384i
$165$	−1.23112	−	2.78272i	−0.0958426	−	0.216634i
$166$	9.33687	−	6.78364i	0.724682	−	0.526512i
$167$	−2.84887	+	8.76792i	−0.220452	+	0.678482i	0.778269	+	0.627931i	$0.216098\pi$
$167$	−2.84887	+	8.76792i	−0.220452	+	0.678482i	−0.998721	+	0.0505515i	$0.983902\pi$
$168$	0.497888			0.0384129
$169$	1.26476	−	3.89253i	0.0972891	−	0.299425i
$170$	−3.27530	+	15.2330i	−0.251204	+	1.16832i
$171$	−0.365377	−	1.12451i	−0.0279410	−	0.0859937i
$172$	−3.08204	−	9.48556i	−0.235004	−	0.723267i
$173$	18.4655	+	13.4160i	1.40391	+	1.02000i	0.994173	+	0.107796i	$0.0343793\pi$
$173$	18.4655	+	13.4160i	1.40391	+	1.02000i	0.409736	+	0.912204i	$0.365621\pi$
$174$	−2.49653			−0.189261
$175$	0.201639	−	1.83546i	0.0152425	−	0.138748i
$176$	−1.00937			−0.0760840
$177$	−0.124655	−	0.0905675i	−0.00936968	−	0.00680747i
$178$	−0.0609620	−	0.187622i	−0.00456930	−	0.0140628i
$179$	0.225078	+	0.692720i	0.0168231	+	0.0517763i	0.959116	−	0.283014i	$-0.0913344\pi$
$179$	0.225078	+	0.692720i	0.0168231	+	0.0517763i	−0.942293	+	0.334791i	$0.891334\pi$
$180$	−2.63005	+	0.270184i	−0.196032	+	0.0201383i
$181$	6.57296	−	20.2295i	0.488564	−	1.50365i	−0.338188	−	0.941079i	$-0.609814\pi$
$181$	6.57296	−	20.2295i	0.488564	−	1.50365i	0.826752	−	0.562567i	$-0.190186\pi$
$182$	1.52682			0.113175
$183$	2.46495	−	7.58633i	0.182214	−	0.560798i
$184$	−0.217458	+	0.157993i	−0.0160312	+	0.0116474i
$185$	−1.64087	+	7.63150i	−0.120639	+	0.561079i
$186$	0.000946350	0	0.000687564i	6.93898e−5	0	5.04146e-5i
$187$	−5.69013	+	4.13412i	−0.416104	+	0.302317i
$188$	4.46171	−	3.24162i	0.325404	−	0.236420i
$189$	1.68466	+	1.22398i	0.122541	+	0.0890314i
$190$	0.470042	−	2.18611i	0.0341004	−	0.158597i
$191$	21.9904	−	15.9769i	1.59117	−	1.15605i	0.688915	−	0.724842i	$-0.258087\pi$
$191$	21.9904	−	15.9769i	1.59117	−	1.15605i	0.902252	−	0.431209i	$-0.141913\pi$
$192$	0.416614	−	1.28220i	0.0300665	−	0.0925352i
$193$	−16.3970			−1.18028			−0.590141	−	0.807300i	$-0.700928\pi$
$193$	−16.3970			−1.18028			−0.590141	+	0.807300i	$0.700928\pi$
$194$	2.69072	−	8.28119i	0.193183	−	0.594555i
$195$	12.3983	−	1.27368i	0.887864	−	0.0912098i
$196$	−2.12097	−	6.52769i	−0.151498	−	0.466263i
$197$	−0.485744	−	1.49497i	−0.0346078	−	0.106512i	0.932260	−	0.361788i	$-0.117834\pi$
$197$	−0.485744	−	1.49497i	−0.0346078	−	0.106512i	−0.966868	+	0.255276i	$0.917834\pi$
$198$	−0.965530	−	0.701499i	−0.0686172	−	0.0498533i
$199$	−9.15658			−0.649093			−0.324546	−	0.945870i	$-0.605212\pi$
$199$	−9.15658			−0.649093			−0.324546	+	0.945870i	$0.605212\pi$
$200$	−4.55812	−	2.05512i	−0.322308	−	0.145319i
$201$	−7.85393			−0.553974
$202$	−6.86848	−	4.99024i	−0.483264	−	0.351112i
$203$	−0.211324	−	0.650387i	−0.0148320	−	0.0456482i
$204$	−2.90301	−	8.93455i	−0.203251	−	0.625543i
$205$	5.26778	−	24.4998i	0.367917	−	1.71114i
$206$	−1.98796	+	6.11832i	−0.138508	+	0.426284i
$207$	−0.317817			−0.0220898
$208$	1.27758	−	3.93200i	0.0885845	−	0.272635i
$209$	0.816597	−	0.593292i	0.0564852	−	0.0410389i
$210$	0.450434	+	1.01812i	0.0310829	+	0.0702570i
$211$	20.8403	+	15.1413i	1.43470	+	1.04237i	0.989116	+	0.147135i	$0.0470052\pi$
$211$	20.8403	+	15.1413i	1.43470	+	1.04237i	0.445587	+	0.895238i	$0.352995\pi$
$212$	−4.67495	+	3.39655i	−0.321077	+	0.233276i
$213$	−6.17002	+	4.48278i	−0.422763	+	0.307155i
$214$	5.31242	+	3.85970i	0.363150	+	0.263844i
$215$	16.6085	−	14.8839i	1.13269	−	1.01507i
$216$	4.56176	−	3.31431i	0.310389	−	0.225511i
$217$	−9.90161e−5	0	0.000304740i	−6.72165e−6	0	2.06871e-5i
$218$	−13.3355			−0.903196
$219$	2.40142	−	7.39082i	0.162273	−	0.499425i
$220$	−0.913165	−	2.06404i	−0.0615656	−	0.139157i
$221$	−8.90235	−	27.3986i	−0.598837	−	1.84303i
$222$	−1.45436	−	4.47606i	−0.0976103	−	0.300414i
$223$	7.68885	+	5.58628i	0.514884	+	0.374085i	0.814673	−	0.579921i	$-0.196916\pi$
$223$	7.68885	+	5.58628i	0.514884	+	0.374085i	−0.299789	+	0.954005i	$0.596916\pi$
$224$	0.369301			0.0246750
$225$	−2.93187	−	5.13370i	−0.195458	−	0.342247i
$226$	7.70402			0.512464
$227$	18.3887	+	13.3602i	1.22050	+	0.886747i	0.996142	−	0.0877597i	$-0.0279708\pi$
$227$	18.3887	+	13.3602i	1.22050	+	0.886747i	0.224360	+	0.974506i	$0.427971\pi$
$228$	0.416614	+	1.28220i	0.0275909	+	0.0849161i
$229$	1.11660	+	3.43655i	0.0737871	+	0.227093i	0.981148	−	0.193260i	$-0.0619061\pi$
$229$	1.11660	+	3.43655i	0.0737871	+	0.227093i	−0.907360	+	0.420353i	$0.861906\pi$
$230$	−0.519808	−	0.301742i	−0.0342751	−	0.0198963i
$231$	−0.155297	+	0.477956i	−0.0102178	+	0.0314472i
$232$	−1.85176			−0.121574
$233$	4.59670	−	14.1472i	0.301140	−	0.926813i	−0.679950	−	0.733259i	$-0.737998\pi$
$233$	4.59670	−	14.1472i	0.301140	−	0.926813i	0.981090	−	0.193554i	$-0.0620016\pi$
$234$	3.95479	−	2.87332i	0.258533	−	0.187835i
$235$	10.6652	+	6.19101i	0.695721	+	0.403857i
$236$	−0.0924613	−	0.0671771i	−0.00601872	−	0.00437286i
$237$	7.16815	−	5.20797i	0.465621	−	0.338294i
$238$	2.08187	−	1.51257i	0.134947	−	0.0980450i
$239$	1.15819	+	0.841478i	0.0749174	+	0.0544307i	0.624614	−	0.780934i	$-0.285257\pi$
$239$	1.15819	+	0.841478i	0.0749174	+	0.0544307i	−0.549696	+	0.835365i	$0.685257\pi$
$240$	2.99886	−	0.308072i	0.193576	−	0.0198859i
$241$	−0.902410	+	0.655640i	−0.0581294	+	0.0422335i	−0.616470	−	0.787378i	$-0.711438\pi$
$241$	−0.902410	+	0.655640i	−0.0581294	+	0.0422335i	0.558341	+	0.829611i	$0.311438\pi$
$242$	−3.08435	+	9.49266i	−0.198270	+	0.610211i
$243$	11.4493			0.734471
$244$	1.82834	−	5.62705i	0.117047	−	0.360235i
$245$	11.4295	−	10.2427i	0.730205	−	0.654380i
$246$	4.66900	+	14.3697i	0.297685	+	0.916179i
$247$	1.27758	+	3.93200i	0.0812907	+	0.250187i
$248$	0.000701941	0	0.000509990i	4.45733e−5	0	3.23844e-5i
$249$	−15.5595			−0.986042
$250$	0.0788000	−	11.1801i	0.00498375	−	0.707089i
$251$	5.06292			0.319568			0.159784	−	0.987152i	$-0.448920\pi$
$251$	5.06292			0.319568			0.159784	+	0.987152i	$0.448920\pi$
$252$	0.353262	+	0.256660i	0.0222534	+	0.0161680i
$253$	−0.0838398	−	0.258033i	−0.00527097	−	0.0162224i
$254$	−5.24568	−	16.1445i	−0.329143	−	1.01300i
$255$	15.6438	−	14.0193i	0.979650	−	0.877922i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	0.879529			0.0548635			0.0274318	−	0.999624i	$-0.491267\pi$
$257$	0.879529			0.0548635			0.0274318	+	0.999624i	$0.491267\pi$
$258$	−4.15518	+	12.7883i	−0.258690	+	0.796167i
$259$	1.04298	−	0.757770i	0.0648077	−	0.0470856i
$260$	9.19629	−	0.944730i	0.570330	−	0.0585897i
$261$	−1.77134	−	1.28695i	−0.109643	−	0.0796603i
$262$	7.85852	−	5.70955i	0.485501	−	0.352737i
$263$	−19.7534	+	14.3517i	−1.21804	+	0.884961i	−0.995936	−	0.0900605i	$-0.971294\pi$
$263$	−19.7534	+	14.3517i	−1.21804	+	0.884961i	−0.222109	+	0.975022i	$0.571294\pi$
$264$	1.10093	+	0.799871i	0.0677574	+	0.0492286i
$265$	−11.1749	−	6.48689i	−0.686469	−	0.398487i
$266$	−0.298771	+	0.217070i	−0.0183188	+	0.0133094i
$267$	−0.0821884	+	0.252950i	−0.00502985	+	0.0154803i
$268$	−5.82554			−0.355851
$269$	−9.46387	+	29.1268i	−0.577022	+	1.77589i	0.0521663	+	0.998638i	$0.483387\pi$
$269$	−9.46387	+	29.1268i	−0.577022	+	1.77589i	−0.629188	+	0.777253i	$0.716613\pi$
$270$	10.9044	+	6.32984i	0.663618	+	0.385222i
$271$	−0.349842	−	1.07670i	−0.0212514	−	0.0654051i	0.939868	−	0.341537i	$-0.110947\pi$
$271$	−0.349842	−	1.07670i	−0.0212514	−	0.0654051i	−0.961120	+	0.276132i	$0.910947\pi$
$272$	−2.15326	−	6.62707i	−0.130561	−	0.401825i
$273$	−1.66531	−	1.20992i	−0.100789	−	0.0732278i
$274$	1.63076			0.0985180
$275$	3.39458	−	3.73463i	0.204701	−	0.225206i
$276$	0.362384			0.0218130
$277$	7.83026	+	5.68902i	0.470475	+	0.341820i	0.797626	−	0.603152i	$-0.206089\pi$
$277$	7.83026	+	5.68902i	0.470475	+	0.341820i	−0.327152	+	0.944972i	$0.606089\pi$
$278$	−3.48887	−	10.7376i	−0.209249	−	0.644001i
$279$	0.000317018	0	0.000975681i	1.89794e−5	0	5.84125e-5i
$280$	0.334103	+	0.755176i	0.0199664	+	0.0451304i
$281$	1.37010	−	4.21672i	0.0817331	−	0.251549i	−0.901837	−	0.432077i	$-0.857781\pi$
$281$	1.37010	−	4.21672i	0.0817331	−	0.251549i	0.983570	+	0.180529i	$0.0577808\pi$
$282$	−7.43524			−0.442762
$283$	8.19316	−	25.2159i	0.487033	−	1.49893i	−0.341983	−	0.939706i	$-0.611098\pi$
$283$	8.19316	−	25.2159i	0.487033	−	1.49893i	0.829015	−	0.559226i	$-0.188902\pi$
$284$	−4.57652	+	3.32504i	−0.271566	+	0.197305i
$285$	−2.24505	+	2.01192i	−0.132985	+	0.119176i
$286$	3.37610	+	2.45288i	0.199633	+	0.145042i
$287$	−3.34833	+	2.43271i	−0.197646	+	0.143598i
$288$	0.956568	−	0.694988i	0.0563663	−	0.0409525i
$289$	−25.5282	−	18.5473i	−1.50166	−	1.09102i
$290$	−1.67527	−	3.78663i	−0.0983752	−	0.222359i
$291$	−9.49719	+	6.90011i	−0.556735	+	0.404492i
$292$	1.78122	−	5.48203i	0.104238	−	0.320812i
$293$	3.60425			0.210563			0.105281	−	0.994442i	$-0.466426\pi$
$293$	3.60425			0.210563			0.105281	+	0.994442i	$0.466426\pi$
$294$	−2.85948	+	8.80056i	−0.166768	+	0.513259i
$295$	0.0537204	−	0.249847i	0.00312772	−	0.0145466i
$296$	−1.07875	−	3.32005i	−0.0627011	−	0.192974i
$297$	1.75876	+	5.41291i	0.102054	+	0.314089i
$298$	0.744857	+	0.541170i	0.0431484	+	0.0313492i
$299$	1.11128			0.0642673
$300$	3.34301	+	5.85361i	0.193009	+	0.337958i
$301$	−3.68330			−0.212302
$302$	3.99135	+	2.89989i	0.229676	+	0.166870i
$303$	3.53701	+	10.8858i	0.203196	+	0.625373i
$304$	0.309017	+	0.951057i	0.0177233	+	0.0545468i
$305$	13.1607	−	1.35199i	0.753581	−	0.0774150i
$306$	2.54598	−	7.83573i	0.145544	−	0.447939i
$307$	−13.2465			−0.756020			−0.378010	−	0.925802i	$-0.623392\pi$
$307$	−13.2465			−0.756020			−0.378010	+	0.925802i	$0.623392\pi$
$308$	−0.115189	+	0.354517i	−0.00656353	+	0.0202005i
$309$	7.01673	−	5.09795i	0.399168	−	0.290012i
$310$	−0.000407831		0.00189677i	−2.31632e−5		0.000107729i
$311$	14.5910	+	10.6010i	0.827381	+	0.601127i	0.918817	−	0.394684i	$-0.129146\pi$
$311$	14.5910	+	10.6010i	0.827381	+	0.601127i	−0.0914365	+	0.995811i	$0.529146\pi$
$312$	−4.50937	+	3.27625i	−0.255293	+	0.185481i
$313$	6.82967	−	4.96204i	0.386036	−	0.280471i	−0.377793	−	0.925890i	$-0.623317\pi$
$313$	6.82967	−	4.96204i	0.386036	−	0.280471i	0.763829	+	0.645419i	$0.223317\pi$
$314$	−18.7652	−	13.6337i	−1.05898	−	0.769396i
$315$	−0.205246	+	0.954575i	−0.0115643	+	0.0537842i
$316$	5.31687	−	3.86293i	0.299097	−	0.217307i
$317$	4.51706	−	13.9021i	0.253704	−	0.780819i	−0.740379	−	0.672190i	$-0.765354\pi$
$317$	4.51706	−	13.9021i	0.253704	−	0.780819i	0.994082	−	0.108629i	$-0.0346462\pi$
$318$	7.79059			0.436875
$319$	0.577587	−	1.77763i	0.0323387	−	0.0995282i
$320$	2.22436	−	0.228508i	0.124346	−	0.0127740i
$321$	−2.73570	−	8.41962i	−0.152692	−	0.469937i
$322$	0.0306747	+	0.0944072i	0.00170944	+	0.00526111i
$323$	5.63732	+	4.09575i	0.313669	+	0.227894i
$324$	−4.05482			−0.225268
$325$	10.2516	+	17.9506i	0.568659	+	0.995722i
$326$	10.0247			0.555214
$327$	14.5452	+	10.5677i	0.804350	+	0.584395i
$328$	3.46316	+	10.6585i	0.191221	+	0.588518i
$329$	−0.629371	−	1.93700i	−0.0346983	−	0.106790i
$330$	−0.639643	+	2.97490i	−0.0352112	+	0.163763i
$331$	3.76049	−	11.5736i	0.206695	−	0.636142i	−0.792945	−	0.609294i	$-0.791453\pi$
$331$	3.76049	−	11.5736i	0.206695	−	0.636142i	0.999640	−	0.0268479i	$-0.00854698\pi$
$332$	−11.5410			−0.633395
$333$	1.27550	−	3.92557i	0.0698968	−	0.215120i
$334$	7.45844	−	5.41887i	0.408108	−	0.296508i
$335$	−5.27030	−	11.9125i	−0.287947	−	0.650851i
$336$	−0.402800	−	0.292651i	−0.0219745	−	0.0159654i
$337$	6.14507	−	4.46465i	0.334743	−	0.243205i	−0.407697	−	0.913117i	$-0.633668\pi$
$337$	6.14507	−	4.46465i	0.334743	−	0.243205i	0.742441	+	0.669912i	$0.233668\pi$
$338$	−3.31118	+	2.40571i	−0.180105	+	0.130854i
$339$	−8.40284	−	6.10502i	−0.456380	−	0.331579i
$340$	11.6035	−	10.3986i	0.629290	−	0.563943i
$341$	−0.000708518	0	0.000514768i	−3.83684e−5	0	2.78763e-5i
$342$	−0.365377	+	1.12451i	−0.0197573	+	0.0608067i
$343$	−5.11985			−0.276446
$344$	−3.08204	+	9.48556i	−0.166173	+	0.511427i
$345$	0.327845	+	0.741033i	0.0176506	+	0.0398959i
$346$	−7.05321	−	21.7075i	−0.379183	−	1.16701i
$347$	10.6205	+	32.6866i	0.570139	+	1.75471i	0.652164	+	0.758078i	$0.273861\pi$
$347$	10.6205	+	32.6866i	0.570139	+	1.75471i	−0.0820253	+	0.996630i	$0.526139\pi$
$348$	2.01973	+	1.46742i	0.108269	+	0.0786621i
$349$	9.23751			0.494473			0.247236	−	0.968955i	$-0.420478\pi$
$349$	9.23751			0.494473			0.247236	+	0.968955i	$0.420478\pi$
$350$	−1.24199	+	1.36640i	−0.0663870	+	0.0730371i
$351$	−23.3121			−1.24431
$352$	0.816597	+	0.593292i	0.0435247	+	0.0316226i
$353$	−11.1055	−	34.1794i	−0.591088	−	1.81918i	−0.573306	−	0.819341i	$-0.694339\pi$
$353$	−11.1055	−	34.1794i	−0.591088	−	1.81918i	−0.0177825	−	0.999842i	$-0.505661\pi$
$354$	0.0476141	+	0.146541i	0.00253066	+	0.00778858i
$355$	−10.9396	−	6.35031i	−0.580615	−	0.337040i
$356$	−0.0609620	+	0.187622i	−0.00323098	+	0.00994393i
$357$	−3.46934			−0.183617
$358$	0.225078	−	0.692720i	0.0118958	−	0.0366114i
$359$	−23.9319	+	17.3875i	−1.26308	+	0.917679i	−0.998904	−	0.0467964i	$-0.985099\pi$
$359$	−23.9319	+	17.3875i	−1.26308	+	0.917679i	−0.264172	+	0.964475i	$0.585099\pi$
$360$	2.28656	+	1.32732i	0.120512	+	0.0699559i
$361$	−0.809017	−	0.587785i	−0.0425798	−	0.0309361i
$362$	−17.2082	+	12.5025i	−0.904444	+	0.657117i
$363$	10.8866	−	7.90954i	0.571396	−	0.415143i
$364$	−1.23522	−	0.897442i	−0.0647433	−	0.0470387i
$365$	12.8216	−	1.31715i	0.671111	−	0.0689428i
$366$	−6.45332	+	4.68861i	−0.337320	+	0.245078i
$367$	−6.96499	+	21.4360i	−0.363570	+	1.11895i	0.587302	+	0.809368i	$0.300190\pi$
$367$	−6.96499	+	21.4360i	−0.363570	+	1.11895i	−0.950872	+	0.309585i	$0.899810\pi$
$368$	0.268793			0.0140118
$369$	−4.09479	+	12.6025i	−0.213166	+	0.656058i
$370$	5.81318	−	5.20953i	0.302213	−	0.270831i
$371$	0.659450	+	2.02958i	0.0342369	+	0.105370i
$372$	−0.000361474	−	0.00111250i	−1.87415e−5	−	5.76805e-5i
$373$	5.46214	+	3.96848i	0.282819	+	0.205480i	0.720146	−	0.693823i	$-0.244075\pi$
$373$	5.46214	+	3.96848i	0.282819	+	0.205480i	−0.437327	+	0.899302i	$0.644075\pi$
$374$	7.03339			0.363688
$375$	−8.94555	+	12.1317i	−0.461946	+	0.626481i
$376$	−5.51498			−0.284413
$377$	6.19370	+	4.49999i	0.318992	+	0.231761i
$378$	−0.643484	−	1.98044i	−0.0330972	−	0.101863i
$379$	7.40947	+	22.8040i	0.380599	+	1.17136i	0.939623	+	0.342212i	$0.111176\pi$
$379$	7.40947	+	22.8040i	0.380599	+	1.17136i	−0.559024	+	0.829152i	$0.688824\pi$
$380$	−1.66523	+	1.49231i	−0.0854246	+	0.0765541i
$381$	−7.07217	+	21.7659i	−0.362318	+	1.11510i
$382$	−27.1816			−1.39073
$383$	2.33117	−	7.17460i	0.119117	−	0.366605i	−0.873666	−	0.486526i	$-0.838264\pi$
$383$	2.33117	−	7.17460i	0.119117	−	0.366605i	0.992783	+	0.119921i	$0.0382640\pi$
$384$	−1.09071	+	0.792446i	−0.0556600	+	0.0404394i
$385$	−0.829155	+	0.0851787i	−0.0422576	+	0.00434111i
$386$	13.2654	+	9.63791i	0.675193	+	0.490557i
$387$	−9.54053	+	6.93160i	−0.484972	+	0.352353i
$388$	−7.04440	+	5.11806i	−0.357625	+	0.259830i
$389$	−3.57072	−	2.59428i	−0.181043	−	0.131535i	0.493573	−	0.869704i	$-0.335691\pi$
$389$	−3.57072	−	2.59428i	−0.181043	−	0.131535i	−0.674616	+	0.738169i	$0.735691\pi$
$390$	−10.7791	−	6.25714i	−0.545822	−	0.316843i
$391$	1.51527	−	1.10091i	0.0766306	−	0.0556754i
$392$	−2.12097	+	6.52769i	−0.107125	+	0.329698i
$393$	−13.0959			−0.660599
$394$	−0.485744	+	1.49497i	−0.0244714	+	0.0753153i
$395$	12.7093	+	7.37761i	0.639477	+	0.371208i
$396$	0.368800	+	1.13505i	0.0185329	+	0.0570384i
$397$	−7.90961	−	24.3433i	−0.396972	−	1.22175i	−0.927415	−	0.374033i	$-0.877975\pi$
$397$	−7.90961	−	24.3433i	−0.396972	−	1.22175i	0.530444	−	0.847720i	$-0.322025\pi$
$398$	7.40783	+	5.38210i	0.371321	+	0.269780i
$399$	0.497888			0.0249256
$400$	2.47963	+	4.34183i	0.123981	+	0.217091i
$401$	19.7614			0.986839			0.493419	−	0.869792i	$-0.335747\pi$
$401$	19.7614			0.986839			0.493419	+	0.869792i	$0.335747\pi$
$402$	6.35396	+	4.61643i	0.316907	+	0.230246i
$403$	−0.00110849	−	0.00341159i	−5.52179e−5	−	0.000169943i
$404$	2.62352	+	8.07438i	0.130525	+	0.401715i
$405$	−3.66835	−	8.29162i	−0.182282	−	0.412014i
$406$	−0.211324	+	0.650387i	−0.0104878	+	0.0322782i
$407$	3.52361			0.174659
$408$	−2.90301	+	8.93455i	−0.143720	+	0.442326i
$409$	2.11155	−	1.53413i	0.104409	−	0.0758579i	−0.534356	−	0.845260i	$-0.679446\pi$
$409$	2.11155	−	1.53413i	0.104409	−	0.0758579i	0.638765	+	0.769402i	$0.279446\pi$
$410$	−18.6623	+	16.7244i	−0.921666	+	0.825959i
$411$	−1.77869	−	1.29229i	−0.0877362	−	0.0637440i
$412$	5.20455	−	3.78133i	0.256410	−	0.186293i
$413$	−0.0341461	+	0.0248086i	−0.00168022	+	0.00122075i
$414$	0.257119	+	0.186808i	0.0126367	+	0.00918111i
$415$	−10.4410	−	23.6000i	−0.512530	−	1.15848i
$416$	−3.34476	+	2.43011i	−0.163990	+	0.119146i
$417$	−4.70366	+	14.4764i	−0.230339	+	0.708911i
$418$	−1.00937			−0.0493698
$419$	−7.90028	+	24.3146i	−0.385954	+	1.18784i	0.549832	+	0.835275i	$0.314692\pi$
$419$	−7.90028	+	24.3146i	−0.385954	+	1.18784i	−0.935786	+	0.352569i	$0.885308\pi$
$420$	0.234028	−	1.08844i	0.0114194	−	0.0531102i
$421$	3.39123	+	10.4371i	0.165279	+	0.508675i	0.999057	−	0.0434245i	$-0.0138268\pi$
$421$	3.39123	+	10.4371i	0.165279	+	0.508675i	−0.833778	+	0.552100i	$0.813827\pi$
$422$	−7.96028	−	24.4992i	−0.387500	−	1.19260i
$423$	−5.27545	−	3.83284i	−0.256501	−	0.186359i
$424$	5.77855			0.280631
$425$	31.7615	+	14.3203i	1.54066	+	0.694638i
$426$	7.62656			0.369508
$427$	−1.76772	−	1.28432i	−0.0855458	−	0.0621526i
$428$	−2.02916	−	6.24513i	−0.0980834	−	0.301870i
$429$	−1.73856	−	5.35075i	−0.0839386	−	0.258337i
$430$	−22.1851	+	2.27907i	−1.06986	+	0.109906i
$431$	−5.05010	+	15.5426i	−0.243255	+	0.748661i	0.752664	+	0.658405i	$0.228769\pi$
$431$	−5.05010	+	15.5426i	−0.243255	+	0.748661i	−0.995919	+	0.0902563i	$0.971231\pi$
$432$	−5.63865			−0.271290
$433$	−1.75472	+	5.40048i	−0.0843265	+	0.259530i	−0.984325	−	0.176362i	$-0.943567\pi$
$433$	−1.75472	+	5.40048i	−0.0843265	+	0.259530i	0.899999	+	0.435892i	$0.143567\pi$
$434$	0.000259228	0	0.000188340i	1.24433e−5	0	9.04060e-6i
$435$	−1.17347	+	5.45767i	−0.0562637	+	0.261675i
$436$	10.7887	+	7.83843i	0.516684	+	0.375393i
$437$	−0.217458	+	0.157993i	−0.0104024	+	0.00755781i
$438$	−6.28701	+	4.56778i	−0.300405	+	0.218257i
$439$	11.5750	+	8.40976i	0.552446	+	0.401376i	0.828687	−	0.559713i	$-0.189089\pi$
$439$	11.5750	+	8.40976i	0.552446	+	0.401376i	−0.276240	+	0.961089i	$0.589089\pi$
$440$	−0.474446	+	2.20659i	−0.0226183	+	0.105195i
$441$	−6.56552	+	4.77013i	−0.312644	+	0.227149i
$442$	−8.90235	+	27.3986i	−0.423441	+	1.30322i
$443$	−2.90764			−0.138146			−0.0690731	−	0.997612i	$-0.522004\pi$
$443$	−2.90764			−0.138146			−0.0690731	+	0.997612i	$0.522004\pi$
$444$	−1.45436	+	4.47606i	−0.0690209	+	0.212424i
$445$	−0.438816	+	0.0450793i	−0.0208019	+	0.00213696i
$446$	−2.93688	−	9.03879i	−0.139065	−	0.427999i
$447$	−0.383574	−	1.18052i	−0.0181424	−	0.0558366i
$448$	−0.298771	−	0.217070i	−0.0141156	−	0.0102556i
$449$	17.8028			0.840166			0.420083	−	0.907486i	$-0.362001\pi$
$449$	17.8028			0.840166			0.420083	+	0.907486i	$0.362001\pi$
$450$	−0.645583	+	5.87656i	−0.0304331	+	0.277024i
$451$	−11.3120			−0.532663
$452$	−6.23268	−	4.52831i	−0.293161	−	0.212994i
$453$	−2.05540	−	6.32586i	−0.0965710	−	0.297215i
$454$	−7.02386	−	21.6172i	−0.329646	−	1.01455i
$455$	0.717669	−	3.33779i	0.0336448	−	0.156478i
$456$	0.416614	−	1.28220i	0.0195097	−	0.0600447i
$457$	−13.1186			−0.613663			−0.306832	−	0.951764i	$-0.599269\pi$
$457$	−13.1186			−0.613663			−0.306832	+	0.951764i	$0.599269\pi$
$458$	1.11660	−	3.43655i	0.0521753	−	0.160579i
$459$	−31.7869	+	23.0945i	−1.48368	+	1.07796i
$460$	0.243174	+	0.549650i	0.0113381	+	0.0256276i
$461$	−10.7975	−	7.84484i	−0.502889	−	0.365371i	0.307230	−	0.951635i	$-0.400598\pi$
$461$	−10.7975	−	7.84484i	−0.502889	−	0.365371i	−0.810120	+	0.586265i	$0.800598\pi$
$462$	0.406573	−	0.295393i	0.0189155	−	0.0137429i
$463$	−16.0581	+	11.6669i	−0.746284	+	0.542207i	−0.894673	−	0.446722i	$-0.852591\pi$
$463$	−16.0581	+	11.6669i	−0.746284	+	0.542207i	0.148389	+	0.988929i	$0.452591\pi$
$464$	1.49811	+	1.08844i	0.0695479	+	0.0505295i
$465$	0.00194791	−	0.00174564i	9.03322e−5	−	8.09520e-5i
$466$	−12.0343	+	8.74344i	−0.557479	+	0.405032i
$467$	−8.72172	+	26.8427i	−0.403593	+	1.24213i	0.518472	+	0.855095i	$0.326501\pi$
$467$	−8.72172	+	26.8427i	−0.403593	+	1.24213i	−0.922064	+	0.387036i	$0.873499\pi$
$468$	−4.88839			−0.225966
$469$	−0.664812	+	2.04608i	−0.0306982	+	0.0944792i
$470$	−4.98934	−	11.2775i	−0.230141	−	0.520191i
$471$	9.66339	+	29.7409i	0.445265	+	1.37039i
$472$	0.0353171	+	0.108695i	0.00162560	+	0.00500308i
$473$	−8.14449	−	5.91732i	−0.374484	−	0.272079i
$474$	−8.86032			−0.406968
$475$	−4.55812	−	2.05512i	−0.209141	−	0.0942955i
$476$	−2.57333			−0.117948
$477$	5.52758	+	4.01602i	0.253091	+	0.183881i
$478$	−0.442391	−	1.36154i	−0.0202345	−	0.0622754i
$479$	−7.37795	−	22.7070i	−0.337107	−	1.03751i	−0.965675	−	0.259754i	$-0.916358\pi$
$479$	−7.37795	−	22.7070i	−0.337107	−	1.03751i	0.628568	−	0.777755i	$-0.283642\pi$
$480$	−2.60721	−	1.51345i	−0.119002	−	0.0690793i
$481$	−4.45993	+	13.7263i	−0.203355	+	0.625863i
$482$	1.11544			0.0508069
$483$	0.0413554	−	0.127279i	0.00188174	−	0.00579139i
$484$	8.07494	−	5.86679i	0.367043	−	0.266672i
$485$	−16.8388	−	9.77471i	−0.764611	−	0.443847i
$486$	−9.26266	−	6.72972i	−0.420163	−	0.305266i
$487$	−23.8714	+	17.3436i	−1.08172	+	0.785912i	−0.977981	−	0.208693i	$-0.933079\pi$
$487$	−23.8714	+	17.3436i	−1.08172	+	0.785912i	−0.103734	+	0.994605i	$0.533079\pi$
$488$	−4.78666	+	3.47771i	−0.216682	+	0.157428i
$489$	−10.9340	−	7.94400i	−0.494452	−	0.359240i
$490$	−15.2672	+	1.56839i	−0.689700	+	0.0708525i
$491$	33.8668	−	24.6056i	1.52839	−	1.11044i	0.571258	−	0.820770i	$-0.306456\pi$
$491$	33.8668	−	24.6056i	1.52839	−	1.11044i	0.957128	−	0.289667i	$-0.0935445\pi$
$492$	4.66900	−	14.3697i	0.210495	−	0.647837i
$493$	12.9033			0.581135
$494$	1.27758	−	3.93200i	0.0574812	−	0.176909i
$495$	−1.98739	+	1.78102i	−0.0893266	+	0.0800508i
$496$	−0.000268118	0	0.000825181i	−1.20388e−5	0	3.70517e-5i
$497$	0.645566	+	1.98685i	0.0289576	+	0.0891223i
$498$	12.5879	+	9.14563i	0.564076	+	0.409826i
$499$	30.8474			1.38092			0.690460	−	0.723370i	$-0.257408\pi$
$499$	30.8474			1.38092			0.690460	+	0.723370i	$0.257408\pi$
$500$	−6.63523	+	8.99854i	−0.296736	+	0.402427i
$501$	−12.4292			−0.555294
$502$	−4.09599	−	2.97591i	−0.182813	−	0.132821i
$503$	−8.80338	−	27.0940i	−0.392523	−	1.20806i	−0.930874	−	0.365341i	$-0.880952\pi$
$503$	−8.80338	−	27.0940i	−0.392523	−	1.20806i	0.538350	−	0.842721i	$-0.319048\pi$
$504$	−0.134934	−	0.415284i	−0.00601043	−	0.0184982i
$505$	−14.1377	+	12.6696i	−0.629118	+	0.563790i
$506$	−0.0838398	+	0.258033i	−0.00372714	+	0.0114709i
$507$	5.51793			0.245060
$508$	−5.24568	+	16.1445i	−0.232739	+	0.716298i
$509$	−22.8000	+	16.5652i	−1.01059	+	0.734238i	−0.964333	−	0.264692i	$-0.914730\pi$
$509$	−22.8000	+	16.5652i	−1.01059	+	0.734238i	−0.0462586	+	0.998929i	$0.514730\pi$
$510$	−20.8964	+	2.14668i	−0.925308	+	0.0950564i
$511$	−1.72216	−	1.25122i	−0.0761838	−	0.0553508i
$512$	−0.809017	+	0.587785i	−0.0357538	+	0.0259767i
$513$	4.56176	−	3.31431i	0.201407	−	0.146331i
$514$	−0.711554	−	0.516974i	−0.0313853	−	0.0228028i
$515$	12.4409	+	7.22177i	0.548210	+	0.318229i
$516$	10.8784	−	7.90362i	0.478895	−	0.347938i
$517$	1.72019	−	5.29420i	0.0756538	−	0.232839i
$518$	−1.28920			−0.0566440
$519$	−9.50907	+	29.2659i	−0.417402	+	1.28463i
$520$	−7.99525	−	4.64114i	−0.350615	−	0.203527i
$521$	7.21116	+	22.1937i	0.315927	+	0.972322i	0.975371	+	0.220569i	$0.0707914\pi$
$521$	7.21116	+	22.1937i	0.315927	+	0.972322i	−0.659445	+	0.751753i	$0.729209\pi$
$522$	0.676591	+	2.08233i	0.0296136	+	0.0911412i
$523$	23.4924	+	17.0682i	1.02725	+	0.746341i	0.967757	−	0.251887i	$-0.0810512\pi$
$523$	23.4924	+	17.0682i	1.02725	+	0.746341i	0.0594941	+	0.998229i	$0.481051\pi$
$524$	−9.71367			−0.424343
$525$	2.43744	−	0.506136i	0.106379	−	0.0220896i
$526$	24.4165			1.06461
$527$	−0.00489120	−	0.00355367i	−0.000213064	−	0.000154800i
$528$	−0.420517	−	1.29422i	−0.0183006	−	0.0563236i
$529$	−7.08506	−	21.8056i	−0.308046	−	0.948069i
$530$	5.22779	+	11.8165i	0.227081	+	0.513274i
$531$	−0.0417583	+	0.128519i	−0.00181216	+	0.00557725i
$532$	0.369301			0.0160112
$533$	14.3179	−	44.0661i	0.620178	−	1.90871i
$534$	0.215172	−	0.156332i	0.00931140	−	0.00676513i
$535$	10.9348	−	9.79930i	0.472752	−	0.423661i
$536$	4.71296	+	3.42417i	0.203569	+	0.147901i
$537$	−0.794438	+	0.577193i	−0.0342825	+	0.0249077i
$538$	24.7767	−	18.0013i	1.06820	−	0.776093i
$539$	−5.60481	−	4.07213i	−0.241416	−	0.175399i
$540$	−5.10122	−	11.5304i	−0.219522	−	0.496188i
$541$	7.93997	−	5.76873i	0.341366	−	0.248017i	−0.403872	−	0.914816i	$-0.632336\pi$
$541$	7.93997	−	5.76873i	0.341366	−	0.248017i	0.745238	+	0.666799i	$0.232336\pi$
$542$	−0.349842	+	1.07670i	−0.0150270	+	0.0462484i
$543$	28.6767			1.23064
$544$	−2.15326	+	6.62707i	−0.0923204	+	0.284133i
$545$	−6.26826	+	29.1529i	−0.268503	+	1.24877i
$546$	0.636094	+	1.95769i	0.0272223	+	0.0837816i
$547$	−0.407694	−	1.25475i	−0.0174317	−	0.0536494i	0.941962	−	0.335719i	$-0.108979\pi$
$547$	−0.407694	−	1.25475i	−0.0174317	−	0.0536494i	−0.959394	+	0.282069i	$0.908979\pi$
$548$	−1.31931	−	0.958538i	−0.0563583	−	0.0409467i
$549$	−6.99573			−0.298570
$550$	−4.94143	+	1.02609i	−0.210703	+	0.0437527i
$551$	−1.85176			−0.0788877
$552$	−0.293175	−	0.213004i	−0.0124784	−	0.00906606i
$553$	−0.750000	−	2.30826i	−0.0318932	−	0.0981573i
$554$	−2.99089	−	9.20502i	−0.127071	−	0.391084i
$555$	−10.4688	+	1.07545i	−0.444374	+	0.0456503i
$556$	−3.48887	+	10.7376i	−0.147961	+	0.455377i
$557$	−17.4507			−0.739412			−0.369706	−	0.929149i	$-0.620542\pi$
$557$	−17.4507			−0.739412			−0.369706	+	0.929149i	$0.620542\pi$
$558$	0.000317018	0	0.000975681i	1.34204e−5	0	4.13039e-5i
$559$	33.3596	−	24.2372i	1.41096	−	1.02512i
$560$	0.173587	−	0.807331i	0.00733539	−	0.0341160i
$561$	−7.67138	−	5.57359i	−0.323886	−	0.235317i
$562$	−3.58696	+	2.60608i	−0.151307	+	0.109931i
$563$	−37.0441	+	26.9141i	−1.56122	+	1.13430i	−0.626228	+	0.779640i	$0.715402\pi$
$563$	−37.0441	+	26.9141i	−1.56122	+	1.13430i	−0.934997	+	0.354656i	$0.884598\pi$
$564$	6.01524	+	4.37032i	0.253287	+	0.184024i
$565$	3.62121	−	16.8418i	0.152346	−	0.708540i
$566$	−21.4500	+	15.5843i	−0.901609	+	0.655057i
$567$	−0.462737	+	1.42416i	−0.0194331	+	0.0598090i
$568$	5.65689			0.237358
$569$	−1.90533	+	5.86401i	−0.0798757	+	0.245832i	−0.983018	−	0.183509i	$-0.941254\pi$
$569$	−1.90533	+	5.86401i	−0.0798757	+	0.245832i	0.903142	+	0.429341i	$0.141254\pi$
$570$	2.99886	−	0.308072i	0.125609	−	0.0129037i
$571$	8.40890	+	25.8799i	0.351902	+	1.08304i	0.957784	+	0.287488i	$0.0928201\pi$
$571$	8.40890	+	25.8799i	0.351902	+	1.08304i	−0.605883	+	0.795554i	$0.707180\pi$
$572$	−1.28955	−	3.96884i	−0.0539190	−	0.165945i
$573$	29.6472	+	21.5399i	1.23853	+	0.899844i
$574$	4.13877			0.172749
$575$	−0.903972	+	0.994525i	−0.0376982	+	0.0414745i
$576$	−1.18238			−0.0492660
$577$	−1.53816	−	1.11754i	−0.0640346	−	0.0465238i	0.555307	−	0.831645i	$-0.312601\pi$
$577$	−1.53816	−	1.11754i	−0.0640346	−	0.0465238i	−0.619342	+	0.785121i	$0.712601\pi$
$578$	9.75089	+	30.0102i	0.405584	+	1.24826i
$579$	−6.83121	−	21.0243i	−0.283895	−	0.873740i
$580$	−0.870406	+	4.04815i	−0.0361416	+	0.168090i
$581$	−1.31706	+	4.05350i	−0.0546410	+	0.168168i
$582$	11.7392			0.486604
$583$	−1.80240	+	5.54722i	−0.0746478	+	0.229742i
$584$	−4.66329	+	3.38808i	−0.192968	+	0.140200i
$585$	−4.42247	−	9.99617i	−0.182847	−	0.413291i
$586$	−2.91590	−	2.11853i	−0.120455	−	0.0875155i
$587$	13.5233	−	9.82527i	0.558168	−	0.405532i	−0.272620	−	0.962122i	$-0.587890\pi$
$587$	13.5233	−	9.82527i	0.558168	−	0.405532i	0.830788	+	0.556589i	$0.187890\pi$
$588$	7.48621	−	5.43905i	0.308726	−	0.224303i
$589$	0.000701941	0	0.000509990i	2.89230e−5	0	2.10138e-5i
$590$	−0.190317	+	0.170554i	−0.00783523	+	0.00702161i
$591$	1.71449	−	1.24565i	0.0705245	−	0.0512391i
$592$	−1.07875	+	3.32005i	−0.0443364	+	0.136453i
$593$	−1.21648			−0.0499548			−0.0249774	−	0.999688i	$-0.507951\pi$
$593$	−1.21648			−0.0499548			−0.0249774	+	0.999688i	$0.507951\pi$
$594$	1.75876	−	5.41291i	0.0721629	−	0.222095i
$595$	−2.32806	−	5.26215i	−0.0954413	−	0.215727i
$596$	−0.284510	−	0.875632i	−0.0116540	−	0.0358673i
$597$	−3.81476	−	11.7406i	−0.156128	−	0.480511i
$598$	−0.899048	−	0.653197i	−0.0367648	−	0.0267112i
$599$	39.8612			1.62868			0.814342	−	0.580386i	$-0.197098\pi$
$599$	39.8612			1.62868			0.814342	+	0.580386i	$0.197098\pi$
$600$	0.736114	−	6.70064i	0.0300517	−	0.273552i
$601$	3.11394			0.127020			0.0635101	−	0.997981i	$-0.479770\pi$
$601$	3.11394			0.127020			0.0635101	+	0.997981i	$0.479770\pi$
$602$	2.97985	+	2.16499i	0.121450	+	0.0882383i
$603$	2.12852	+	6.55090i	0.0866798	+	0.266773i
$604$	−1.52456	−	4.69212i	−0.0620335	−	0.190919i
$605$	19.3022	+	11.2047i	0.784746	+	0.455535i
$606$	3.53701	−	10.8858i	0.143681	−	0.442205i
$607$	25.0619			1.01723			0.508615	−	0.860994i	$-0.330158\pi$
$607$	25.0619			1.01723			0.508615	+	0.860994i	$0.330158\pi$
$608$	0.309017	−	0.951057i	0.0125323	−	0.0385704i
$609$	0.745889	−	0.541920i	0.0302250	−	0.0219597i
$610$	−11.4419	−	6.64189i	−0.463270	−	0.268922i
$611$	18.4463	+	13.4020i	0.746256	+	0.542187i
$612$	−6.66547	+	4.84275i	−0.269436	+	0.195757i
$613$	−0.359287	+	0.261037i	−0.0145115	+	0.0105432i	−0.595017	−	0.803713i	$-0.702855\pi$
$613$	−0.359287	+	0.261037i	−0.0145115	+	0.0105432i	0.580506	+	0.814256i	$0.302855\pi$
$614$	10.7167	+	7.78612i	0.432490	+	0.314222i
$615$	33.6083	−	3.45257i	1.35522	−	0.139221i
$616$	0.301570	−	0.219103i	0.0121506	−	0.00882792i
$617$	11.5196	−	35.4537i	0.463762	−	1.42731i	−0.396771	−	0.917918i	$-0.629869\pi$
$617$	11.5196	−	35.4537i	0.463762	−	1.42731i	0.860533	−	0.509395i	$-0.170131\pi$
$618$	−8.67315			−0.348885
$619$	−3.30063	+	10.1583i	−0.132663	+	0.408296i	−0.995219	−	0.0976659i	$-0.968862\pi$
$619$	−3.30063	+	10.1583i	−0.132663	+	0.408296i	0.862556	+	0.505962i	$0.168862\pi$
$620$	0.00144483	−	0.00129480i	5.80259e−5	−	5.20005e-5i
$621$	−0.468355	−	1.44145i	−0.0187945	−	0.0578434i
$622$	−5.57327	−	17.1528i	−0.223468	−	0.687763i
$623$	0.0589407	+	0.0428229i	0.00236141	+	0.00171566i
$624$	5.57389			0.223134
$625$	−24.4038	−	5.42736i	−0.976151	−	0.217095i
$626$	−8.44193			−0.337407
$627$	1.10093	+	0.799871i	0.0439668	+	0.0319438i
$628$	7.16768	+	22.0598i	0.286021	+	0.880283i
$629$	7.51685	+	23.1345i	0.299716	+	0.922432i
$630$	0.727133	−	0.651627i	0.0289697	−	0.0259614i
$631$	1.57141	−	4.83631i	0.0625569	−	0.192530i	−0.914894	−	0.403695i	$-0.867726\pi$
$631$	1.57141	−	4.83631i	0.0625569	−	0.192530i	0.977450	+	0.211165i	$0.0677256\pi$
$632$	−6.57201			−0.261421
$633$	−10.7320	+	33.0296i	−0.426557	+	1.31281i
$634$	−11.8258	+	8.59197i	−0.469664	+	0.341231i
$635$	−37.7594	+	3.87900i	−1.49844	+	0.153933i
$636$	−6.30272	−	4.57919i	−0.249919	−	0.181577i
$637$	22.9571	−	16.6793i	0.909595	−	0.660860i
$638$	−1.51214	+	1.09864i	−0.0598663	+	0.0434954i
$639$	5.41120	+	3.93147i	0.214064	+	0.155526i
$640$	−1.93386	−	1.12258i	−0.0764425	−	0.0443739i
$641$	−17.0442	+	12.3833i	−0.673204	+	0.489112i	−0.871096	−	0.491112i	$-0.836590\pi$
$641$	−17.0442	+	12.3833i	−0.673204	+	0.489112i	0.197892	+	0.980224i	$0.436590\pi$
$642$	−2.73570	+	8.41962i	−0.107969	+	0.332296i
$643$	−12.6057			−0.497122			−0.248561	−	0.968616i	$-0.579958\pi$
$643$	−12.6057			−0.497122			−0.248561	+	0.968616i	$0.579958\pi$
$644$	0.0306747	−	0.0944072i	0.00120875	−	0.00372016i
$645$	26.0035	+	15.0947i	1.02389	+	0.594354i
$646$	−2.15326	−	6.62707i	−0.0847191	−	0.260738i
$647$	−8.91486	−	27.4371i	−0.350479	−	1.07866i	−0.958585	−	0.284808i	$-0.908070\pi$
$647$	−8.91486	−	27.4371i	−0.350479	−	1.07866i	0.608105	−	0.793856i	$-0.291930\pi$
$648$	3.28042	+	2.38336i	0.128867	+	0.0936273i
$649$	−0.115359			−0.00452825
$650$	2.25736	−	20.5481i	0.0885410	−	0.805964i
$651$	−0.000431991	0		−1.69311e−5	0
$652$	−8.11012	−	5.89234i	−0.317617	−	0.230762i
$653$	−13.0341	−	40.1148i	−0.510063	−	1.56981i	−0.792088	−	0.610406i	$-0.791006\pi$
$653$	−13.0341	−	40.1148i	−0.510063	−	1.56981i	0.282025	−	0.959407i	$-0.408994\pi$
$654$	−5.55576	−	17.0989i	−0.217248	−	0.668619i
$655$	−8.78785	−	19.8633i	−0.343370	−	0.776123i
$656$	3.46316	−	10.6585i	0.135214	−	0.416145i
$657$	−6.81543			−0.265895
$658$	−0.629371	+	1.93700i	−0.0245354	+	0.0755123i
$659$	−18.7543	+	13.6258i	−0.730562	+	0.530784i	−0.889741	−	0.456465i	$-0.849115\pi$
$659$	−18.7543	+	13.6258i	−0.730562	+	0.530784i	0.159179	+	0.987250i	$0.449115\pi$
$660$	2.26608	−	2.03077i	0.0882072	−	0.0790477i
$661$	−32.8614	−	23.8752i	−1.27816	−	0.928637i	−0.278663	−	0.960389i	$-0.589891\pi$
$661$	−32.8614	−	23.8752i	−1.27816	−	0.928637i	−0.999496	+	0.0317520i	$0.989891\pi$
$662$	−9.84508	+	7.15287i	−0.382640	+	0.278004i
$663$	31.4218	−	22.8293i	1.22032	−	0.886615i
$664$	9.33687	+	6.78364i	0.362341	+	0.263256i
$665$	0.334103	+	0.755176i	0.0129559	+	0.0292845i
$666$	−3.33929	+	2.42614i	−0.129395	+	0.0940110i
$667$	−0.153810	+	0.473380i	−0.00595556	+	0.0183293i
$668$	−9.21914			−0.356699
$669$	−3.95947	+	12.1860i	−0.153082	+	0.471138i
$670$	−2.73825	+	12.7352i	−0.105788	+	0.492005i
$671$	−1.84547	−	5.67977i	−0.0712435	−	0.219265i
$672$	0.153856	+	0.473519i	0.00593512	+	0.0182664i
$673$	−24.7441	−	17.9776i	−0.953813	−	0.692986i	−0.00210748	−	0.999998i	$-0.500671\pi$
$673$	−24.7441	−	17.9776i	−0.953813	−	0.692986i	−0.951706	+	0.307012i	$0.900671\pi$
$674$	−7.59572			−0.292576
$675$	18.9632	−	20.8628i	0.729894	−	0.803009i
$676$	4.09285			0.157417
$677$	6.83661	+	4.96709i	0.262752	+	0.190901i	0.711360	−	0.702828i	$-0.248080\pi$
$677$	6.83661	+	4.96709i	0.262752	+	0.190901i	−0.448607	+	0.893729i	$0.648080\pi$
$678$	3.20960	+	9.87813i	0.123264	+	0.379367i
$679$	0.993686	+	3.05825i	0.0381342	+	0.117365i
$680$	−15.4996	+	1.59227i	−0.594382	+	0.0610606i
$681$	−9.46950	+	29.1441i	−0.362872	+	1.11681i
$682$	0.000875776	0		3.35352e−5	0
$683$	7.71745	−	23.7519i	0.295300	−	0.908840i	−0.687821	−	0.725881i	$-0.741432\pi$
$683$	7.71745	−	23.7519i	0.295300	−	0.908840i	0.983121	−	0.182959i	$-0.0585676\pi$
$684$	0.956568	−	0.694988i	0.0365753	−	0.0265735i
$685$	0.766527	−	3.56502i	0.0292875	−	0.136212i
$686$	4.14204	+	3.00937i	0.158144	+	0.114898i
$687$	−3.94116	+	2.86342i	−0.150365	+	0.109246i
$688$	8.06890	−	5.86240i	0.307624	−	0.223502i
$689$	−19.3279	−	14.0425i	−0.736333	−	0.534977i
$690$	0.170336	−	0.792211i	0.00648457	−	0.0301589i
$691$	17.3691	−	12.6194i	0.660750	−	0.480063i	−0.206166	−	0.978517i	$-0.566099\pi$
$691$	17.3691	−	12.6194i	0.660750	−	0.480063i	0.866916	+	0.498454i	$0.166099\pi$
$692$	−7.05321	+	21.7075i	−0.268123	+	0.825197i
$693$	0.440746			0.0167426
$694$	10.6205	−	32.6866i	0.403149	−	1.24077i
$695$	−25.1135	+	2.57990i	−0.952611	+	0.0978612i
$696$	−0.771470	−	2.37434i	−0.0292425	−	0.0899991i
$697$	−24.1317	−	74.2697i	−0.914053	−	2.81317i
$698$	−7.47331	−	5.42967i	−0.282869	−	0.205516i
$699$	20.0546			0.758536
$700$	1.80794	−	0.375419i	0.0683336	−	0.0141895i
$701$	−38.0513			−1.43718			−0.718589	−	0.695435i	$-0.755212\pi$
$701$	−38.0513			−1.43718			−0.718589	+	0.695435i	$0.755212\pi$
$702$	18.8599	+	13.7025i	0.711822	+	0.517169i
$703$	−1.07875	−	3.32005i	−0.0406858	−	0.125218i
$704$	−0.311912	−	0.959967i	−0.0117556	−	0.0361801i
$705$	−3.49487	+	16.2542i	−0.131625	+	0.612169i
$706$	−11.1055	+	34.1794i	−0.417963	+	1.28636i
$707$	3.13533			0.117916
$708$	0.0476141	−	0.146541i	0.00178945	−	0.00550736i
$709$	24.2830	−	17.6426i	0.911967	−	0.662583i	−0.0295448	−	0.999563i	$-0.509406\pi$
$709$	24.2830	−	17.6426i	0.911967	−	0.662583i	0.941512	+	0.336981i	$0.109406\pi$
$710$	5.11773	+	11.5677i	0.192065	+	0.434127i
$711$	−6.28658	−	4.56747i	−0.235765	−	0.171293i
$712$	0.159601	−	0.115957i	0.00598129	−	0.00434566i
$713$	0.000188677	0	0.000137082i	7.06601e−6	0	5.13376e-6i
$714$	2.80675	+	2.03923i	0.105040	+	0.0763161i
$715$	6.94916	−	6.22755i	0.259884	−	0.232897i
$716$	−0.589263	+	0.428124i	−0.0220218	+	0.0159998i
$717$	−0.596427	+	1.83561i	−0.0222740	+	0.0685523i
$718$	29.5814			1.10397
$719$	−0.767916	+	2.36340i	−0.0286384	+	0.0881401i	−0.964354	−	0.264615i	$-0.914755\pi$
$719$	−0.767916	+	2.36340i	−0.0286384	+	0.0881401i	0.935716	+	0.352755i	$0.114755\pi$
$720$	−1.06969	−	2.41783i	−0.0398650	−	0.0901073i
$721$	−0.734157	−	2.25950i	−0.0273414	−	0.0841482i
$722$	0.309017	+	0.951057i	0.0115004	+	0.0353947i
$723$	−1.21662	−	0.883927i	−0.0452466	−	0.0328736i
$724$	21.2705			0.790513
$725$	−9.06543	+	1.88244i	−0.336682	+	0.0699121i
$726$	−13.4565			−0.499418
$727$	9.10551	+	6.61554i	0.337705	+	0.245357i	0.743693	−	0.668522i	$-0.233073\pi$
$727$	9.10551	+	6.61554i	0.337705	+	0.245357i	−0.405988	+	0.913878i	$0.633073\pi$
$728$	0.471813	+	1.45209i	0.0174866	+	0.0538181i
$729$	8.52895	+	26.2494i	0.315887	+	0.972200i
$730$	−11.1471	−	6.47072i	−0.412571	−	0.239492i
$731$	21.4760	−	66.0964i	0.794319	−	2.44466i
$732$	7.97674			0.294829
$733$	−10.6372	+	32.7379i	−0.392894	+	1.20920i	0.537695	+	0.843139i	$0.319295\pi$
$733$	−10.6372	+	32.7379i	−0.392894	+	1.20920i	−0.930590	+	0.366064i	$0.880705\pi$
$734$	18.2346	−	13.2482i	0.673051	−	0.489000i
$735$	17.8949	+	10.3878i	0.660063	+	0.383158i
$736$	−0.217458	−	0.157993i	−0.00801562	−	0.00582369i
$737$	−4.75711	+	3.45625i	−0.175231	+	0.127312i
$738$	10.7203	−	7.78875i	0.394619	−	0.286708i
$739$	−2.73579	−	1.98766i	−0.100638	−	0.0731174i	0.536328	−	0.844009i	$-0.319811\pi$
$739$	−2.73579	−	1.98766i	−0.100638	−	0.0731174i	−0.636966	+	0.770892i	$0.719811\pi$
$740$	−7.76504	+	0.797699i	−0.285449	+	0.0293240i
$741$	−4.50937	+	3.27625i	−0.165656	+	0.120356i
$742$	0.659450	−	2.02958i	0.0242092	−	0.0745082i
$743$	−34.3196			−1.25906			−0.629532	−	0.776975i	$-0.716753\pi$
$743$	−34.3196			−1.25906			−0.629532	+	0.776975i	$0.716753\pi$
$744$	−0.000361474		0.00111250i	−1.32523e−5		4.07863e-5i
$745$	1.53317	−	1.37396i	0.0561710	−	0.0503381i
$746$	−2.08635	−	6.42113i	−0.0763867	−	0.235094i
$747$	4.21682	+	12.9780i	0.154285	+	0.474841i
$748$	−5.69013	−	4.13412i	−0.208052	−	0.151159i
$749$	−2.42502			−0.0886083
$750$	14.3680	−	4.55673i	0.524644	−	0.166388i
$751$	0.537096			0.0195989			0.00979945	−	0.999952i	$-0.496881\pi$
$751$	0.537096			0.0195989			0.00979945	+	0.999952i	$0.496881\pi$
$752$	4.46171	+	3.24162i	0.162702	+	0.118210i
$753$	2.10928	+	6.49170i	0.0768664	+	0.236571i
$754$	−2.36578	−	7.28113i	−0.0861567	−	0.265163i
$755$	8.21556	−	7.36245i	0.298995	−	0.267947i
$756$	−0.643484	+	1.98044i	−0.0234033	+	0.0720279i
$757$	53.7131			1.95224			0.976118	−	0.217239i	$-0.0697052\pi$
$757$	53.7131			1.95224			0.976118	+	0.217239i	$0.0697052\pi$
$758$	7.40947	−	22.8040i	0.269124	−	0.828279i
$759$	0.295922	−	0.215000i	0.0107413	−	0.00780400i
$760$	2.22436	−	0.228508i	0.0806861	−	0.00828884i
$761$	−26.3657	−	19.1558i	−0.955755	−	0.694397i	−0.00359411	−	0.999994i	$-0.501144\pi$
$761$	−26.3657	−	19.1558i	−0.955755	−	0.694397i	−0.952161	+	0.305597i	$0.901144\pi$
$762$	18.5152	−	13.4521i	0.670735	−	0.487317i
$763$	3.98427	−	2.89474i	0.144240	−	0.104797i
$764$	21.9904	+	15.9769i	0.795584	+	0.578025i
$765$	−15.9330	−	9.24892i	−0.576060	−	0.334395i
$766$	−6.10308	+	4.43415i	−0.220513	+	0.160212i
$767$	0.146013	−	0.449382i	0.00527223	−	0.0162263i
$768$	1.34819			0.0486486
$769$	−11.6991	+	36.0060i	−0.421879	+	1.29841i	0.484073	+	0.875028i	$0.339157\pi$
$769$	−11.6991	+	36.0060i	−0.421879	+	1.29841i	−0.905951	+	0.423382i	$0.860843\pi$
$770$	0.720867	+	0.418454i	0.0259782	+	0.0150800i
$771$	0.366424	+	1.12774i	0.0131964	+	0.0406144i
$772$	−5.06695	−	15.5945i	−0.182363	−	0.561257i
$773$	21.2767	+	15.4584i	0.765269	+	0.556001i	0.900522	−	0.434811i	$-0.143185\pi$
$773$	21.2767	+	15.4584i	0.765269	+	0.556001i	−0.135253	+	0.990811i	$0.543185\pi$
$774$	11.7927			0.423881
$775$	0.00395484	+	0.00178312i	0.000142062	+	6.40516e-5i
$776$	8.70736			0.312576
$777$	1.40614	+	1.02162i	0.0504449	+	0.0366504i
$778$	1.36389	+	4.19763i	0.0488980	+	0.150492i
$779$	3.46316	+	10.6585i	0.124081	+	0.381881i
$780$	5.04264	+	11.3979i	0.180555	+	0.408112i
$781$	−1.76445	+	5.43043i	−0.0631371	+	0.194316i
$782$	−1.87298			−0.0669776
$783$	3.22658	−	9.93040i	0.115309	−	0.354883i
$784$	5.55278	−	4.03433i	0.198314	−	0.144083i
$785$	−38.6252	+	34.6143i	−1.37859	+	1.23544i
$786$	10.5948	+	7.69756i	0.377903	+	0.274563i
$787$	−20.7421	+	15.0700i	−0.739375	+	0.537187i	−0.892515	−	0.451017i	$-0.851061\pi$
$787$	−20.7421	+	15.0700i	−0.739375	+	0.537187i	0.153140	+	0.988204i	$0.451061\pi$
$788$	1.27169	−	0.923940i	0.0453022	−	0.0329140i
$789$	−26.6313	−	19.3488i	−0.948099	−	0.688834i
$790$	−5.94563	−	13.4390i	−0.211536	−	0.478137i
$791$	−2.30174	+	1.67231i	−0.0818403	+	0.0594605i
$792$	0.368800	−	1.13505i	0.0131047	−	0.0403322i
$793$	24.4614			0.868651
$794$	−7.90961	+	24.3433i	−0.280701	+	0.863910i
$795$	3.66190	−	17.0311i	0.129874	−	0.604029i
$796$	−2.82954	−	8.70843i	−0.100290	−	0.308662i
$797$	−5.79674	−	17.8405i	−0.205331	−	0.631944i	−0.999700	−	0.0245077i	$-0.992198\pi$
$797$	−5.79674	−	17.8405i	−0.205331	−	0.631944i	0.794369	−	0.607436i	$-0.207802\pi$
$798$	−0.402800	−	0.292651i	−0.0142590	−	0.0103597i
$799$	38.4290			1.35952
$800$	0.546002	−	4.97010i	0.0193041	−	0.175720i
$801$	0.233257			0.00824174
$802$	−15.9873	−	11.6155i	−0.564532	−	0.410157i
$803$	−1.79791	−	5.53339i	−0.0634468	−	0.195269i
$804$	−2.42700	−	7.46953i	−0.0855936	−	0.263430i
$805$	0.220803	−	0.0226829i	0.00778227	−	0.000799468i
$806$	−0.00110849	+	0.00341159i	−3.90450e−5	+	0.000120168i
$807$	−41.2893			−1.45345
$808$	2.62352	−	8.07438i	0.0922953	−	0.284056i
$809$	25.4853	−	18.5161i	0.896014	−	0.650992i	−0.0414253	−	0.999142i	$-0.513190\pi$
$809$	25.4853	−	18.5161i	0.896014	−	0.650992i	0.937439	+	0.348150i	$0.113190\pi$
$810$	−1.90593	+	8.86426i	−0.0669677	+	0.311459i
$811$	28.4331	+	20.6578i	0.998420	+	0.725395i	0.961749	−	0.273933i	$-0.0883245\pi$
$811$	28.4331	+	20.6578i	0.998420	+	0.725395i	0.0366713	+	0.999327i	$0.488325\pi$
$812$	0.553252	−	0.401961i	0.0194154	−	0.0141061i
$813$	1.23481	−	0.897139i	0.0433065	−	0.0314640i
$814$	−2.85066	−	2.07113i	−0.0999157	−	0.0725930i
$815$	4.71201	−	21.9150i	0.165054	−	0.767648i
$816$	7.60018	−	5.52185i	0.266059	−	0.193304i
$817$	−3.08204	+	9.48556i	−0.107827	+	0.331858i
$818$	−2.61002			−0.0912572
$819$	−0.557864	+	1.71693i	−0.0194933	+	0.0599943i
$820$	24.9285	−	2.56089i	0.870541	−	0.0894302i
$821$	−0.632510	−	1.94667i	−0.0220748	−	0.0679391i	0.939412	−	0.342789i	$-0.111372\pi$
$821$	−0.632510	−	1.94667i	−0.0220748	−	0.0679391i	−0.961487	+	0.274850i	$0.911372\pi$
$822$	0.679398	+	2.09097i	0.0236967	+	0.0729310i
$823$	2.47906	+	1.80115i	0.0864148	+	0.0627840i	0.630154	−	0.776470i	$-0.282992\pi$
$823$	2.47906	+	1.80115i	0.0864148	+	0.0627840i	−0.543739	+	0.839254i	$0.682992\pi$
$824$	−6.43318			−0.224111
$825$	6.20279	+	2.79666i	0.215953	+	0.0973670i
$826$	0.0422068			0.00146856
$827$	−33.0269	−	23.9955i	−1.14846	−	0.834404i	−0.160184	−	0.987087i	$-0.551209\pi$
$827$	−33.0269	−	23.9955i	−1.14846	−	0.834404i	−0.988275	+	0.152683i	$0.951209\pi$
$828$	−0.0982107	−	0.302262i	−0.00341306	−	0.0105043i
$829$	15.6208	+	48.0759i	0.542533	+	1.66975i	0.726784	+	0.686867i	$0.241014\pi$
$829$	15.6208	+	48.0759i	0.542533	+	1.66975i	−0.184250	+	0.982879i	$0.558986\pi$
$830$	−5.42476	+	25.2299i	−0.188296	+	0.875742i
$831$	−4.03229	+	12.4101i	−0.139879	+	0.430502i
$832$	4.13435			0.143333
$833$	14.7792	−	45.4856i	0.512068	−	1.57598i
$834$	12.3143	−	8.94689i	0.426411	−	0.309806i
$835$	−8.34046	−	18.8520i	−0.288633	−	0.652402i
$836$	0.816597	+	0.593292i	0.0282426	+	0.0205194i
$837$	−0.00395800	+	0.00287565i	−0.000136808	+	9.93972e-5i
$838$	20.6832	−	15.0272i	0.714489	−	0.519107i
$839$	−2.65318	−	1.92764i	−0.0915978	−	0.0665497i	0.541044	−	0.840994i	$-0.318029\pi$
$839$	−2.65318	−	1.92764i	−0.0915978	−	0.0665497i	−0.632642	+	0.774445i	$0.718029\pi$
$840$	−0.829099	+	0.743005i	−0.0286066	+	0.0256361i
$841$	20.6874	−	15.0302i	0.713357	−	0.518284i
$842$	3.39123	−	10.4371i	0.116870	−	0.359688i
$843$	5.97751			0.205876
$844$	−7.96028	+	24.4992i	−0.274004	+	0.843298i
$845$	3.70275	+	8.36938i	0.127379	+	0.287916i
$846$	2.01504	+	6.20167i	0.0692786	+	0.213218i
$847$	−1.13905	−	3.50565i	−0.0391384	−	0.120456i
$848$	−4.67495	−	3.39655i	−0.160538	−	0.116638i
$849$	35.7454			1.22678
$850$	−17.2783	−	30.2543i	−0.592641	−	1.03771i
$851$	−0.938332			−0.0321656
$852$	−6.17002	−	4.48278i	−0.211381	−	0.153578i
$853$	−5.32882	−	16.4004i	−0.182455	−	0.561540i	0.817440	−	0.576014i	$-0.195393\pi$
$853$	−5.32882	−	16.4004i	−0.182455	−	0.561540i	−0.999895	+	0.0144740i	$0.995393\pi$
$854$	0.675207	+	2.07807i	0.0231051	+	0.0711103i
$855$	2.28656	+	1.32732i	0.0781988	+	0.0453934i
$856$	−2.02916	+	6.24513i	−0.0693554	+	0.213454i
$857$	34.1353			1.16604			0.583020	−	0.812458i	$-0.301871\pi$
$857$	34.1353			1.16604			0.583020	+	0.812458i	$0.301871\pi$
$858$	−1.73856	+	5.35075i	−0.0593536	+	0.182672i
$859$	−39.1781	+	28.4645i	−1.33674	+	0.971197i	−0.337181	+	0.941440i	$0.609473\pi$
$859$	−39.1781	+	28.4645i	−1.33674	+	0.971197i	−0.999557	+	0.0297570i	$0.990527\pi$
$860$	19.2877	+	11.1963i	0.657707	+	0.381790i
$861$	−4.51419	−	3.27975i	−0.153843	−	0.111774i
$862$	13.2213	−	9.60586i	0.450321	−	0.327177i
$863$	10.7960	−	7.84376i	0.367500	−	0.267005i	−0.388673	−	0.921376i	$-0.627067\pi$
$863$	10.7960	−	7.84376i	0.367500	−	0.267005i	0.756174	+	0.654371i	$0.227067\pi$
$864$	4.56176	+	3.31431i	0.155194	+	0.112755i
$865$	−50.7703	+	5.21561i	−1.72624	+	0.177336i
$866$	4.59392	−	3.33768i	0.156108	−	0.113419i
$867$	13.1461	−	40.4594i	0.446464	−	1.37407i
$868$	−0.000320423	0		−1.08759e−5	0
$869$	2.04989	−	6.30891i	0.0695378	−	0.214015i
$870$	4.15730	−	3.72560i	0.140946	−	0.126310i
$871$	−7.44262	−	22.9060i	−0.252183	−	0.776141i
$872$	−4.12091	−	12.6828i	−0.139551	−	0.429495i
$873$	8.32918	+	6.05150i	0.281900	+	0.204812i
$874$	0.268793			0.00909206
$875$	2.40331	+	3.35738i	0.0812467	+	0.113500i
$876$	7.77117			0.262563
$877$	14.7066	+	10.6850i	0.496606	+	0.360806i	0.807719	−	0.589567i	$-0.200702\pi$
$877$	14.7066	+	10.6850i	0.496606	+	0.360806i	−0.311113	+	0.950373i	$0.600702\pi$
$878$	−4.42127	−	13.6073i	−0.149211	−	0.459223i
$879$	1.50158	+	4.62139i	0.0506471	+	0.155876i
$880$	1.68083	−	1.50629i	0.0566609	−	0.0507772i
$881$	−3.13933	+	9.66185i	−0.105767	+	0.325516i	−0.989910	−	0.141700i	$-0.954743\pi$
$881$	−3.13933	+	9.66185i	−0.105767	+	0.325516i	0.884143	+	0.467216i	$0.154743\pi$
$882$	8.11543			0.273261
$883$	13.9782	−	43.0205i	0.470405	−	1.44776i	−0.381651	−	0.924306i	$-0.624645\pi$
$883$	13.9782	−	43.0205i	0.470405	−	1.44776i	0.852056	−	0.523450i	$-0.175355\pi$
$884$	23.3066	−	16.9333i	0.783887	−	0.569528i
$885$	0.342735	−	0.0352090i	0.0115209	−	0.00118354i
$886$	2.35233	+	1.70907i	0.0790281	+	0.0574173i
$887$	5.56775	−	4.04521i	0.186947	−	0.135825i	−0.490375	−	0.871511i	$-0.663140\pi$
$887$	5.56775	−	4.04521i	0.186947	−	0.135825i	0.677322	+	0.735686i	$0.263140\pi$
$888$	3.80756	−	2.76636i	0.127774	−	0.0928329i
$889$	5.07175	+	3.68484i	0.170101	+	0.123586i
$890$	0.381506	+	0.221460i	0.0127881	+	0.00742334i
$891$	−3.31115	+	2.40569i	−0.110928	+	0.0805937i
$892$	−2.93688	+	9.03879i	−0.0983340	+	0.302641i
$893$	−5.51498			−0.184552
$894$	−0.383574	+	1.18052i	−0.0128286	+	0.0394824i
$895$	−1.40856	−	0.817653i	−0.0470831	−	0.0273311i
$896$	0.114120	+	0.351226i	0.00381249	+	0.0117336i
$897$	0.462976	+	1.42490i	0.0154583	+	0.0475759i
$898$	−14.4028	−	10.4642i	−0.480627	−	0.349196i
$899$	0.00160668			5.35857e−5
$900$	3.97644	−	4.37477i	0.132548	−	0.145826i
$901$	−40.2656			−1.34144
$902$	9.15162	+	6.64904i	0.304716	+	0.221389i
$903$	−1.53451	−	4.72274i	−0.0510654	−	0.157163i
$904$	2.38067	+	7.32696i	0.0791800	+	0.243691i
$905$	19.2432	+	43.4957i	0.639666	+	1.44585i
$906$	−2.05540	+	6.32586i	−0.0682860	+	0.210163i
$907$	5.59715			0.185850			0.0929252	−	0.995673i	$-0.470378\pi$
$907$	5.59715			0.185850			0.0929252	+	0.995673i	$0.470378\pi$
$908$	−7.02386	+	21.6172i	−0.233095	+	0.717393i
$909$	8.12117	−	5.90038i	0.269362	−	0.195703i
$910$	−2.54251	+	2.27849i	−0.0842834	+	0.0755313i
$911$	−32.2732	−	23.4479i	−1.06926	−	0.776862i	−0.0934803	−	0.995621i	$-0.529799\pi$
$911$	−32.2732	−	23.4479i	−1.06926	−	0.776862i	−0.975779	+	0.218759i	$0.929799\pi$
$912$	−1.09071	+	0.792446i	−0.0361170	+	0.0262405i
$913$	−9.42435	+	6.84719i	−0.311900	+	0.226609i
$914$	10.6132	+	7.71093i	0.351053	+	0.255055i
$915$	7.21647	+	16.3115i	0.238569	+	0.539241i
$916$	−2.92330	+	2.12390i	−0.0965886	+	0.0701757i
$917$	−1.10853	+	3.41169i	−0.0366068	+	0.112664i
$918$	39.2907			1.29679
$919$	−11.7059	+	36.0270i	−0.386141	+	1.18842i	0.549507	+	0.835489i	$0.314815\pi$
$919$	−11.7059	+	36.0270i	−0.386141	+	1.18842i	−0.935649	+	0.352932i	$0.885185\pi$
$920$	0.126344	−	0.587610i	0.00416544	−	0.0193729i
$921$	−5.51869	−	16.9848i	−0.181847	−	0.559668i
$922$	4.12428	+	12.6932i	0.135826	+	0.418029i
$923$	−18.9209	−	13.7469i	−0.622790	−	0.452483i
$924$	−0.502552			−0.0165328
$925$	−8.65615	−	15.1569i	−0.284612	−	0.498356i
$926$	19.8489			0.652276
$927$	−6.15378	−	4.47098i	−0.202117	−	0.146846i
$928$	−0.572226	−	1.76113i	−0.0187842	−	0.0578119i
$929$	−8.86833	−	27.2939i	−0.290960	−	0.895484i	−0.984548	−	0.175112i	$-0.943971\pi$
$929$	−8.86833	−	27.2939i	−0.290960	−	0.895484i	0.693588	−	0.720372i	$-0.256029\pi$
$930$	−0.00260195		0.000267297i	−8.53214e−5		8.76503e-6i
$931$	−2.12097	+	6.52769i	−0.0695121	+	0.213936i
$932$	14.8752			0.487254
$933$	−7.51383	+	23.1252i	−0.245992	+	0.757085i
$934$	22.8337	−	16.5897i	0.747143	−	0.542831i
$935$	3.30599	−	15.3757i	0.108117	−	0.502841i
$936$	3.95479	+	2.87332i	0.129266	+	0.0939175i
$937$	−5.67092	+	4.12016i	−0.185261	+	0.134600i	−0.676550	−	0.736397i	$-0.736526\pi$
$937$	−5.67092	+	4.12016i	−0.185261	+	0.134600i	0.491289	+	0.870996i	$0.336526\pi$
$938$	1.74050	−	1.26455i	0.0568293	−	0.0412889i
$939$	9.20769	+	6.68978i	0.300482	+	0.218313i
$940$	−2.59227	+	12.0563i	−0.0845506	+	0.393234i
$941$	−4.18647	+	3.04165i	−0.136475	+	0.0991550i	−0.653928	−	0.756557i	$-0.726880\pi$
$941$	−4.18647	+	3.04165i	−0.136475	+	0.0991550i	0.517453	+	0.855712i	$0.326880\pi$
$942$	9.66339	−	29.7409i	0.314850	−	0.969009i
$943$	3.01237			0.0980964
$944$	0.0353171	−	0.108695i	0.00114947	−	0.00353771i
$945$	−4.63192	+	0.475834i	−0.150676	+	0.0154789i
$946$	3.11092	+	9.57443i	0.101145	+	0.311291i
$947$	−16.0148	−	49.2885i	−0.520411	−	1.60166i	−0.773216	−	0.634143i	$-0.781353\pi$
$947$	−16.0148	−	49.2885i	−0.520411	−	1.60166i	0.252805	−	0.967517i	$-0.418647\pi$
$948$	7.16815	+	5.20797i	0.232811	+	0.169147i
$949$	23.8310			0.773587
$950$	2.47963	+	4.34183i	0.0804497	+	0.140867i
$951$	19.7072			0.639050
$952$	2.08187	+	1.51257i	0.0674737	+	0.0490225i
$953$	18.7607	+	57.7396i	0.607719	+	1.87037i	0.476889	+	0.878963i	$0.341764\pi$
$953$	18.7607	+	57.7396i	0.607719	+	1.87037i	0.130830	+	0.991405i	$0.458236\pi$
$954$	−2.11135	−	6.49806i	−0.0683574	−	0.210383i
$955$	−12.7765	+	59.4218i	−0.413437	+	1.92285i
$956$	−0.442391	+	1.36154i	−0.0143080	+	0.0440353i
$957$	2.51992			0.0814574
$958$	−7.37795	+	22.7070i	−0.238371	+	0.733630i
$959$	−0.487224	+	0.353989i	−0.0157333	+	0.0114309i
$960$	1.21969	+	2.75689i	0.0393654	+	0.0889782i
$961$	25.0795	+	18.2213i	0.809017	+	0.587785i
$962$	11.6762	−	8.48329i	0.376457	−	0.273512i
$963$	−6.28132	+	4.56365i	−0.202413	+	0.147061i
$964$	−0.902410	−	0.655640i	−0.0290647	−	0.0211167i
$965$	27.3048	−	24.4694i	0.878973	−	0.787699i
$966$	−0.108270	+	0.0786626i	−0.00348352	+	0.00253093i
$967$	−7.62985	+	23.4823i	−0.245359	+	0.755139i	0.750218	+	0.661191i	$0.229949\pi$
$967$	−7.62985	+	23.4823i	−0.245359	+	0.755139i	−0.995577	+	0.0939477i	$0.970051\pi$
$968$	−9.98117			−0.320807
$969$	−2.90301	+	8.93455i	−0.0932581	+	0.287019i
$970$	7.87745	+	17.8055i	0.252930	+	0.571700i
$971$	11.2475	+	34.6161i	0.360948	+	1.11088i	0.952480	+	0.304602i	$0.0985235\pi$
$971$	11.2475	+	34.6161i	0.360948	+	1.11088i	−0.591532	+	0.806282i	$0.701477\pi$
$972$	3.53802	+	10.8889i	0.113482	+	0.349262i
$973$	3.37319	+	2.45076i	0.108139	+	0.0785679i
$974$	29.5066			0.945454
$975$	−18.7454	+	20.6232i	−0.600334	+	0.660470i
$976$	5.91663			0.189387
$977$	33.0917	+	24.0426i	1.05870	+	0.769189i	0.973847	−	0.227204i	$-0.0729585\pi$
$977$	33.0917	+	24.0426i	1.05870	+	0.769189i	0.0848512	+	0.996394i	$0.472959\pi$
$978$	4.17641	+	12.8537i	0.133547	+	0.411015i
$979$	0.0615332	+	0.189380i	0.00196661	+	0.00605260i
$980$	13.2733	+	7.70496i	0.423999	+	0.246126i
$981$	4.87249	−	14.9960i	0.155567	−	0.478785i
$982$	−41.8616			−1.33586
$983$	8.09545	−	24.9152i	0.258205	−	0.794672i	−0.734977	−	0.678092i	$-0.762807\pi$
$983$	8.09545	−	24.9152i	0.258205	−	0.794672i	0.993181	−	0.116580i	$-0.0371931\pi$
$984$	−12.2236	+	8.88097i	−0.389674	+	0.283115i
$985$	3.03984	+	1.76459i	0.0968572	+	0.0562244i
$986$	−10.4390	−	7.58436i	−0.332445	−	0.241535i
$987$	2.22143	−	1.61396i	0.0707090	−	0.0513731i
$988$	−3.34476	+	2.43011i	−0.106411	+	0.0773121i
$989$	2.16886	+	1.57577i	0.0689659	+	0.0501066i
$990$	2.65469	−	0.272715i	0.0843716	−	0.00866745i
$991$	−37.0460	+	26.9155i	−1.17680	+	0.854998i	−0.991808	−	0.127741i	$-0.959227\pi$
$991$	−37.0460	+	26.9155i	−1.17680	+	0.854998i	−0.184996	+	0.982739i	$0.559227\pi$
$992$	−0.000268118	0	0.000825181i	−8.51274e−6	0	2.61995e-5i
$993$	16.4064			0.520641
$994$	0.645566	−	1.98685i	0.0204761	−	0.0630190i
$995$	15.2478	−	13.6645i	0.483389	−	0.433193i
$996$	−4.80814	−	14.7979i	−0.152352	−	0.468891i
$997$	−14.7577	−	45.4196i	−0.467382	−	1.43845i	−0.855963	−	0.517038i	$-0.827035\pi$
$997$	−14.7577	−	45.4196i	−0.467382	−	1.43845i	0.388581	−	0.921415i	$-0.372965\pi$
$998$	−24.9561	−	18.1317i	−0.789971	−	0.573948i
$999$	19.6840			0.622774

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.h.b.191.8	✓	40
25.11	even	5	inner	950.2.h.b.761.8	yes	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.h.b.191.8	✓	40	1.1	even	1	trivial
950.2.h.b.761.8	yes	40	25.11	even	5	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	950.h (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.809017 - 0.587785i) q^{2} +(0.416614 + 1.28220i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-1.66523 + 1.49231i) q^{5} +(0.416614 - 1.28220i) q^{6} +0.369301 q^{7} +(0.309017 - 0.951057i) q^{8} +(0.956568 - 0.694988i) q^{9} +O(q^{10})\)	\(q+(-0.809017 - 0.587785i) q^{2} +(0.416614 + 1.28220i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-1.66523 + 1.49231i) q^{5} +(0.416614 - 1.28220i) q^{6} +0.369301 q^{7} +(0.309017 - 0.951057i) q^{8} +(0.956568 - 0.694988i) q^{9} +(2.22436 - 0.228508i) q^{10} +(0.816597 + 0.593292i) q^{11} +(-1.09071 + 0.792446i) q^{12} +(-3.34476 + 2.43011i) q^{13} +(-0.298771 - 0.217070i) q^{14} +(-2.60721 - 1.51345i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-2.15326 + 6.62707i) q^{17} -1.18238 q^{18} +(0.309017 - 0.951057i) q^{19} +(-1.93386 - 1.12258i) q^{20} +(0.153856 + 0.473519i) q^{21} +(-0.311912 - 0.959967i) q^{22} +(-0.217458 - 0.157993i) q^{23} +1.34819 q^{24} +(0.546002 - 4.97010i) q^{25} +4.13435 q^{26} +(4.56176 + 3.31431i) q^{27} +(0.114120 + 0.351226i) q^{28} +(-0.572226 - 1.76113i) q^{29} +(1.21969 + 2.75689i) q^{30} +(-0.000268118 + 0.000825181i) q^{31} +1.00000 q^{32} +(-0.420517 + 1.29422i) q^{33} +(5.63732 - 4.09575i) q^{34} +(-0.614972 + 0.551113i) q^{35} +(0.956568 + 0.694988i) q^{36} +(2.82420 - 2.05190i) q^{37} +(-0.809017 + 0.587785i) q^{38} +(-4.50937 - 3.27625i) q^{39} +(0.904689 + 2.04488i) q^{40} +(-9.06668 + 6.58733i) q^{41} +(0.153856 - 0.473519i) q^{42} -9.97370 q^{43} +(-0.311912 + 0.959967i) q^{44} +(-0.555770 + 2.58482i) q^{45} +(0.0830617 + 0.255637i) q^{46} +(-1.70422 - 5.24506i) q^{47} +(-1.09071 - 0.792446i) q^{48} -6.86362 q^{49} +(-3.36308 + 3.69996i) q^{50} -9.39434 q^{51} +(-3.34476 - 2.43011i) q^{52} +(1.78567 + 5.49573i) q^{53} +(-1.74244 - 5.36267i) q^{54} +(-2.24520 + 0.230648i) q^{55} +(0.114120 - 0.351226i) q^{56} +1.34819 q^{57} +(-0.572226 + 1.76113i) q^{58} +(-0.0924613 + 0.0671771i) q^{59} +(0.633706 - 2.94729i) q^{60} +(-4.78666 - 3.47771i) q^{61} +(0.000701941 - 0.000509990i) q^{62} +(0.353262 - 0.256660i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(1.94332 - 9.03813i) q^{65} +(1.10093 - 0.799871i) q^{66} +(-1.80019 + 5.54042i) q^{67} -6.96811 q^{68} +(0.111983 - 0.344648i) q^{69} +(0.821459 - 0.0843880i) q^{70} +(1.74807 + 5.38002i) q^{71} +(-0.365377 - 1.12451i) q^{72} +(-4.66329 - 3.38808i) q^{73} -3.49091 q^{74} +(6.60016 - 1.37053i) q^{75} +1.00000 q^{76} +(0.301570 + 0.219103i) q^{77} +(1.72243 + 5.30108i) q^{78} +(-2.03086 - 6.25035i) q^{79} +(0.470042 - 2.18611i) q^{80} +(-1.25301 + 3.85636i) q^{81} +11.2070 q^{82} +(-3.56637 + 10.9762i) q^{83} +(-0.402800 + 0.292651i) q^{84} +(-6.30397 - 14.2490i) q^{85} +(8.06890 + 5.86240i) q^{86} +(2.01973 - 1.46742i) q^{87} +(0.816597 - 0.593292i) q^{88} +(0.159601 + 0.115957i) q^{89} +(1.96894 - 1.76449i) q^{90} +(-1.23522 + 0.897442i) q^{91} +(0.0830617 - 0.255637i) q^{92} -0.00116975 q^{93} +(-1.70422 + 5.24506i) q^{94} +(0.904689 + 2.04488i) q^{95} +(0.416614 + 1.28220i) q^{96} +(2.69072 + 8.28119i) q^{97} +(5.55278 + 4.03433i) q^{98} +1.19346 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q - 10 q^{2} + 5 q^{3} - 10 q^{4} + 5 q^{6} - 12 q^{7} - 10 q^{8} - 3 q^{9}+O(q^{10}) \) 40 * q - 10 * q^2 + 5 * q^3 - 10 * q^4 + 5 * q^6 - 12 * q^7 - 10 * q^8 - 3 * q^9	\( 40 q - 10 q^{2} + 5 q^{3} - 10 q^{4} + 5 q^{6} - 12 q^{7} - 10 q^{8} - 3 q^{9} - 6 q^{11} + 16 q^{13} - 2 q^{14} + 16 q^{15} - 10 q^{16} - 2 q^{17} + 22 q^{18} - 10 q^{19} - 5 q^{20} + 3 q^{21} + 14 q^{22} + 4 q^{23} - 10 q^{24} - 2 q^{25} - 34 q^{26} + 29 q^{27} + 8 q^{28} + 16 q^{30} + 19 q^{31} + 40 q^{32} - 16 q^{33} + 3 q^{34} - 24 q^{35} - 3 q^{36} + q^{37} - 10 q^{38} - 7 q^{39} + 5 q^{40} + 20 q^{41} + 3 q^{42} - 48 q^{43} + 14 q^{44} + 53 q^{45} + 4 q^{46} + 29 q^{47} + 28 q^{49} + 3 q^{50} - 122 q^{51} + 16 q^{52} - 5 q^{53} - 6 q^{54} + 56 q^{55} + 8 q^{56} - 10 q^{57} + 20 q^{59} - 19 q^{60} + 42 q^{61} - 21 q^{62} + 9 q^{63} - 10 q^{64} + 35 q^{65} + 24 q^{66} - 3 q^{67} - 2 q^{68} - 9 q^{69} - 19 q^{70} + 18 q^{71} - 8 q^{72} + 8 q^{73} - 64 q^{74} + 7 q^{75} + 40 q^{76} + 35 q^{77} - 2 q^{78} + q^{79} + 59 q^{81} - 30 q^{82} + 11 q^{83} - 7 q^{84} - 125 q^{85} + 32 q^{86} - 31 q^{87} - 6 q^{88} - 34 q^{89} - 7 q^{90} + 10 q^{91} + 4 q^{92} + 24 q^{93} + 29 q^{94} + 5 q^{95} + 5 q^{96} + 90 q^{97} - 12 q^{98} + 10 q^{99}+O(q^{100}) \) 40 * q - 10 * q^2 + 5 * q^3 - 10 * q^4 + 5 * q^6 - 12 * q^7 - 10 * q^8 - 3 * q^9 - 6 * q^11 + 16 * q^13 - 2 * q^14 + 16 * q^15 - 10 * q^16 - 2 * q^17 + 22 * q^18 - 10 * q^19 - 5 * q^20 + 3 * q^21 + 14 * q^22 + 4 * q^23 - 10 * q^24 - 2 * q^25 - 34 * q^26 + 29 * q^27 + 8 * q^28 + 16 * q^30 + 19 * q^31 + 40 * q^32 - 16 * q^33 + 3 * q^34 - 24 * q^35 - 3 * q^36 + q^37 - 10 * q^38 - 7 * q^39 + 5 * q^40 + 20 * q^41 + 3 * q^42 - 48 * q^43 + 14 * q^44 + 53 * q^45 + 4 * q^46 + 29 * q^47 + 28 * q^49 + 3 * q^50 - 122 * q^51 + 16 * q^52 - 5 * q^53 - 6 * q^54 + 56 * q^55 + 8 * q^56 - 10 * q^57 + 20 * q^59 - 19 * q^60 + 42 * q^61 - 21 * q^62 + 9 * q^63 - 10 * q^64 + 35 * q^65 + 24 * q^66 - 3 * q^67 - 2 * q^68 - 9 * q^69 - 19 * q^70 + 18 * q^71 - 8 * q^72 + 8 * q^73 - 64 * q^74 + 7 * q^75 + 40 * q^76 + 35 * q^77 - 2 * q^78 + q^79 + 59 * q^81 - 30 * q^82 + 11 * q^83 - 7 * q^84 - 125 * q^85 + 32 * q^86 - 31 * q^87 - 6 * q^88 - 34 * q^89 - 7 * q^90 + 10 * q^91 + 4 * q^92 + 24 * q^93 + 29 * q^94 + 5 * q^95 + 5 * q^96 + 90 * q^97 - 12 * q^98 + 10 * q^99

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