LMFDB - Embedded newform 950.2.x.a.159.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [950,2,Mod(159,950)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(950, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([21, 10]))

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

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

chi := DirichletCharacter("950.159");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 950 = 2 \cdot 5^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	950.x (of order $30$, 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:	$7.58578819202$
Analytic rank:	$0$
Dimension:	$400$
Relative dimension:	$50$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			159.4
Character	$\chi$	$=$	950.159
Dual form			950.2.x.a.239.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.994522 - 0.104528i) q^{2} +(-1.62203 - 1.46048i) q^{3} +(0.978148 + 0.207912i) q^{4} +(0.144205 + 2.23141i) q^{5} +(1.46048 + 1.62203i) q^{6} +0.133313i q^{7} +(-0.951057 - 0.309017i) q^{8} +(0.184386 + 1.75432i) q^{9} +O(q^{10})$	\(q+(-0.994522 - 0.104528i) q^{2} +(-1.62203 - 1.46048i) q^{3} +(0.978148 + 0.207912i) q^{4} +(0.144205 + 2.23141i) q^{5} +(1.46048 + 1.62203i) q^{6} +0.133313i q^{7} +(-0.951057 - 0.309017i) q^{8} +(0.184386 + 1.75432i) q^{9} +(0.0898316 - 2.23426i) q^{10} +(-1.10297 - 0.801358i) q^{11} +(-1.28293 - 1.76580i) q^{12} +(2.03649 - 0.214044i) q^{13} +(0.0139350 - 0.132583i) q^{14} +(3.02503 - 3.83002i) q^{15} +(0.913545 + 0.406737i) q^{16} +(-1.35500 - 6.37478i) q^{17} -1.76398i q^{18} +(-1.89761 + 3.92416i) q^{19} +(-0.322884 + 2.21263i) q^{20} +(0.194701 - 0.216238i) q^{21} +(1.01317 + 0.912260i) q^{22} +(0.817913 + 1.83706i) q^{23} +(1.09133 + 1.89023i) q^{24} +(-4.95841 + 0.643560i) q^{25} -2.04771 q^{26} +(-1.58573 + 2.18257i) q^{27} +(-0.0277173 + 0.130400i) q^{28} +(6.69140 + 1.42230i) q^{29} +(-3.40881 + 3.49284i) q^{30} +(-2.27317 + 6.99609i) q^{31} +(-0.866025 - 0.500000i) q^{32} +(0.618688 + 2.91070i) q^{33} +(0.681232 + 6.48149i) q^{34} +(-0.297477 + 0.0192244i) q^{35} +(-0.184386 + 1.75432i) q^{36} +(2.10924 + 2.90312i) q^{37} +(2.29740 - 3.70431i) q^{38} +(-3.61585 - 2.62707i) q^{39} +(0.552398 - 2.16676i) q^{40} +(7.85851 + 3.49883i) q^{41} +(-0.216238 + 0.194701i) q^{42} +(-4.20997 + 2.43063i) q^{43} +(-0.912260 - 1.01317i) q^{44} +(-3.88801 + 0.664422i) q^{45} +(-0.621407 - 1.91249i) q^{46} +(1.52028 - 7.15236i) q^{47} +(-0.887765 - 1.99395i) q^{48} +6.98223 q^{49} +(4.99852 - 0.121739i) q^{50} +(-7.11239 + 12.3190i) q^{51} +(2.03649 + 0.214044i) q^{52} +(1.26301 - 5.94198i) q^{53} +(1.80518 - 2.00486i) q^{54} +(1.62911 - 2.57675i) q^{55} +(0.0411960 - 0.126788i) q^{56} +(8.80915 - 3.59368i) q^{57} +(-6.50608 - 2.11395i) q^{58} +(9.04903 + 4.02889i) q^{59} +(3.75523 - 3.11739i) q^{60} +(-11.2775 + 5.02108i) q^{61} +(2.99200 - 6.72015i) q^{62} +(-0.233873 + 0.0245811i) q^{63} +(0.809017 + 0.587785i) q^{64} +(0.771292 + 4.51339i) q^{65} +(-0.311048 - 2.95942i) q^{66} +(5.50558 - 4.95725i) q^{67} -6.51719i q^{68} +(1.35632 - 4.17431i) q^{69} +(0.297856 + 0.0119757i) q^{70} +(-1.02140 + 1.13438i) q^{71} +(0.366752 - 1.72543i) q^{72} +(12.1387 + 1.27582i) q^{73} +(-1.79423 - 3.10769i) q^{74} +(8.98259 + 6.19779i) q^{75} +(-2.67202 + 3.44388i) q^{76} +(0.106831 - 0.147041i) q^{77} +(3.32144 + 2.99064i) q^{78} +(-9.04810 + 10.0489i) q^{79} +(-0.775860 + 2.09715i) q^{80} +(10.9360 - 2.32452i) q^{81} +(-7.44973 - 4.30111i) q^{82} +(12.2619 + 3.98414i) q^{83} +(0.235405 - 0.171032i) q^{84} +(14.0294 - 3.94284i) q^{85} +(4.44098 - 1.97725i) q^{86} +(-8.77640 - 12.0797i) q^{87} +(0.801358 + 1.10297i) q^{88} +(11.8157 - 5.26069i) q^{89} +(3.93617 - 0.254374i) q^{90} +(0.0285348 + 0.271491i) q^{91} +(0.418093 + 1.96697i) q^{92} +(13.9048 - 8.02794i) q^{93} +(-2.25958 + 6.95426i) q^{94} +(-9.03008 - 3.66847i) q^{95} +(0.674477 + 2.07583i) q^{96} +(6.40478 + 5.76689i) q^{97} +(-6.94398 - 0.729842i) q^{98} +(1.20246 - 2.08272i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9}+O(q^{10}) $ 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9	$ 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9} - 12 q^{11} + 8 q^{14} - 18 q^{15} + 50 q^{16} - 10 q^{17} - 12 q^{19} + 4 q^{20} - 32 q^{21} + 20 q^{22} + 30 q^{23} - 14 q^{25} + 60 q^{27} + 24 q^{29} - 52 q^{30} + 20 q^{33} + 8 q^{34} - 8 q^{35} + 50 q^{36} - 24 q^{39} - 16 q^{41} + 4 q^{44} - 144 q^{45} - 32 q^{46} + 120 q^{47} - 440 q^{49} - 40 q^{50} + 52 q^{51} + 40 q^{53} - 12 q^{54} - 88 q^{55} + 16 q^{56} + 48 q^{59} - 2 q^{60} - 28 q^{61} + 10 q^{63} + 100 q^{64} + 152 q^{65} + 16 q^{66} - 80 q^{67} - 16 q^{69} + 8 q^{70} - 14 q^{71} + 80 q^{73} - 104 q^{75} - 8 q^{76} - 80 q^{77} + 60 q^{78} - 8 q^{79} + 2 q^{80} + 106 q^{81} + 80 q^{83} + 56 q^{84} + 78 q^{85} - 20 q^{86} + 80 q^{87} + 12 q^{89} + 78 q^{90} - 8 q^{91} - 20 q^{92} + 4 q^{95} - 30 q^{97} - 40 q^{98} - 12 q^{99}+O(q^{100}) $ 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9 - 12 * q^11 + 8 * q^14 - 18 * q^15 + 50 * q^16 - 10 * q^17 - 12 * q^19 + 4 * q^20 - 32 * q^21 + 20 * q^22 + 30 * q^23 - 14 * q^25 + 60 * q^27 + 24 * q^29 - 52 * q^30 + 20 * q^33 + 8 * q^34 - 8 * q^35 + 50 * q^36 - 24 * q^39 - 16 * q^41 + 4 * q^44 - 144 * q^45 - 32 * q^46 + 120 * q^47 - 440 * q^49 - 40 * q^50 + 52 * q^51 + 40 * q^53 - 12 * q^54 - 88 * q^55 + 16 * q^56 + 48 * q^59 - 2 * q^60 - 28 * q^61 + 10 * q^63 + 100 * q^64 + 152 * q^65 + 16 * q^66 - 80 * q^67 - 16 * q^69 + 8 * q^70 - 14 * q^71 + 80 * q^73 - 104 * q^75 - 8 * q^76 - 80 * q^77 + 60 * q^78 - 8 * q^79 + 2 * q^80 + 106 * q^81 + 80 * q^83 + 56 * q^84 + 78 * q^85 - 20 * q^86 + 80 * q^87 + 12 * q^89 + 78 * q^90 - 8 * q^91 - 20 * q^92 + 4 * q^95 - 30 * q^97 - 40 * q^98 - 12 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$77$	$401$
$\chi(n)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{1}{3}\right)$

Coefficient data

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

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

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

$2$	−0.994522	−	0.104528i	−0.703233	−	0.0739128i
$2$	−0.994522	−	0.104528i	−0.703233	−	0.0739128i
$3$	−1.62203	−	1.46048i	−0.936478	−	0.843209i	0.0513621	−	0.998680i	$-0.483644\pi$
$3$	−1.62203	−	1.46048i	−0.936478	−	0.843209i	−0.987840	+	0.155471i	$0.950310\pi$
$4$	0.978148	+	0.207912i	0.489074	+	0.103956i
$5$	0.144205	+	2.23141i	0.0644902	+	0.997918i
$5$	0.144205	+	2.23141i	0.0644902	+	0.997918i
$6$	1.46048	+	1.62203i	0.596239	+	0.662190i
$7$			0.133313i			0.0503876i	0.999683	+	0.0251938i	$0.00802029\pi$
$7$			0.133313i			0.0503876i	−0.999683	+	0.0251938i	$0.991980\pi$
$8$	−0.951057	−	0.309017i	−0.336249	−	0.109254i
$9$	0.184386	+	1.75432i	0.0614620	+	0.584772i
$10$	0.0898316	−	2.23426i	0.0284072	−	0.706536i
$11$	−1.10297	−	0.801358i	−0.332559	−	0.241618i	0.408957	−	0.912554i	$-0.365893\pi$
$11$	−1.10297	−	0.801358i	−0.332559	−	0.241618i	−0.741516	+	0.670935i	$0.765893\pi$
$12$	−1.28293	−	1.76580i	−0.370351	−	0.509744i
$13$	2.03649	−	0.214044i	0.564821	−	0.0593651i	0.182185	−	0.983264i	$-0.441683\pi$
$13$	2.03649	−	0.214044i	0.564821	−	0.0593651i	0.382636	+	0.923899i	$0.375016\pi$
$14$	0.0139350	−	0.132583i	0.00372429	−	0.0354342i
$15$	3.02503	−	3.83002i	0.781060	−	0.988908i
$16$	0.913545	+	0.406737i	0.228386	+	0.101684i
$17$	−1.35500	−	6.37478i	−0.328636	−	1.54611i	−0.763616	−	0.645671i	$-0.776578\pi$
$17$	−1.35500	−	6.37478i	−0.328636	−	1.54611i	0.434980	−	0.900440i	$-0.356755\pi$
$18$		−	1.76398i		−	0.415774i
$19$	−1.89761	+	3.92416i	−0.435342	+	0.900265i
$19$	−1.89761	+	3.92416i	−0.435342	+	0.900265i
$20$	−0.322884	+	2.21263i	−0.0721990	+	0.494760i
$21$	0.194701	−	0.216238i	0.0424873	−	0.0471869i
$22$	1.01317	+	0.912260i	0.216008	+	0.194494i
$23$	0.817913	+	1.83706i	0.170547	+	0.383054i	0.978516	−	0.206170i	$-0.0661001\pi$
$23$	0.817913	+	1.83706i	0.170547	+	0.383054i	−0.807969	+	0.589224i	$0.799433\pi$
$24$	1.09133	+	1.89023i	0.222766	+	0.385842i
$25$	−4.95841	+	0.643560i	−0.991682	+	0.128712i
$26$	−2.04771			−0.401589
$27$	−1.58573	+	2.18257i	−0.305174	+	0.420036i
$28$	−0.0277173	+	0.130400i	−0.00523809	+	0.0246433i
$29$	6.69140	+	1.42230i	1.24256	+	0.264115i	0.781868	−	0.623444i	$-0.214267\pi$
$29$	6.69140	+	1.42230i	1.24256	+	0.264115i	0.460694	+	0.887559i	$0.347600\pi$
$30$	−3.40881	+	3.49284i	−0.622360	+	0.637702i
$31$	−2.27317	+	6.99609i	−0.408273	+	1.25653i	0.509858	+	0.860258i	$0.329698\pi$
$31$	−2.27317	+	6.99609i	−0.408273	+	1.25653i	−0.918131	+	0.396276i	$0.870302\pi$
$32$	−0.866025	−	0.500000i	−0.153093	−	0.0883883i
$33$	0.618688	+	2.91070i	0.107700	+	0.506687i
$34$	0.681232	+	6.48149i	0.116830	+	1.11157i
$35$	−0.297477	+	0.0192244i	−0.0502827	+	0.00324951i
$36$	−0.184386	+	1.75432i	−0.0307310	+	0.292386i
$37$	2.10924	+	2.90312i	0.346757	+	0.477270i	0.946400	−	0.322998i	$-0.104691\pi$
$37$	2.10924	+	2.90312i	0.346757	+	0.477270i	−0.599643	+	0.800268i	$0.704691\pi$
$38$	2.29740	−	3.70431i	0.372688	−	0.600919i
$39$	−3.61585	−	2.62707i	−0.579000	−	0.420668i
$40$	0.552398	−	2.16676i	0.0873418	−	0.342595i
$41$	7.85851	+	3.49883i	1.22729	+	0.546426i	0.914959	−	0.403546i	$-0.132223\pi$
$41$	7.85851	+	3.49883i	1.22729	+	0.546426i	0.312334	+	0.949972i	$0.398889\pi$
$42$	−0.216238	+	0.194701i	−0.0333662	+	0.0300430i
$43$	−4.20997	+	2.43063i	−0.642014	+	0.370667i	−0.785390	−	0.619001i	$-0.787538\pi$
$43$	−4.20997	+	2.43063i	−0.642014	+	0.370667i	0.143376	+	0.989668i	$0.454204\pi$
$44$	−0.912260	−	1.01317i	−0.137528	−	0.152741i
$45$	−3.88801	+	0.664422i	−0.579591	+	0.0990461i
$46$	−0.621407	−	1.91249i	−0.0916215	−	0.281982i
$47$	1.52028	−	7.15236i	0.221756	−	1.04328i	−0.716567	−	0.697518i	$-0.754288\pi$
$47$	1.52028	−	7.15236i	0.221756	−	1.04328i	0.938323	−	0.345761i	$-0.112379\pi$
$48$	−0.887765	−	1.99395i	−0.128138	−	0.287802i
$49$	6.98223			0.997461
$50$	4.99852	−	0.121739i	0.706897	−	0.0172166i
$51$	−7.11239	+	12.3190i	−0.995934	+	1.72501i
$52$	2.03649	+	0.214044i	0.282411	+	0.0296825i
$53$	1.26301	−	5.94198i	0.173487	−	0.816194i	−0.802205	−	0.597049i	$-0.796340\pi$
$53$	1.26301	−	5.94198i	0.173487	−	0.816194i	0.975692	−	0.219145i	$-0.0703267\pi$
$54$	1.80518	−	2.00486i	0.245655	−	0.272827i
$55$	1.62911	−	2.57675i	0.219669	−	0.347449i
$56$	0.0411960	−	0.126788i	0.00550505	−	0.0169428i
$57$	8.80915	−	3.59368i	1.16680	−	0.475995i
$58$	−6.50608	−	2.11395i	−0.854290	−	0.277576i
$59$	9.04903	+	4.02889i	1.17808	+	0.524517i	0.899936	−	0.436022i	$-0.143613\pi$
$59$	9.04903	+	4.02889i	1.17808	+	0.524517i	0.278148	+	0.960538i	$0.410280\pi$
$60$	3.75523	−	3.11739i	0.484799	−	0.402453i
$61$	−11.2775	+	5.02108i	−1.44394	+	0.642884i	−0.971189	−	0.238312i	$-0.923406\pi$
$61$	−11.2775	+	5.02108i	−1.44394	+	0.642884i	−0.472751	+	0.881196i	$0.656739\pi$
$62$	2.99200	−	6.72015i	0.379985	−	0.853460i
$63$	−0.233873	+	0.0245811i	−0.0294653	+	0.00309692i
$64$	0.809017	+	0.587785i	0.101127	+	0.0734732i
$65$	0.771292	+	4.51339i	0.0956670	+	0.559817i
$66$	−0.311048	−	2.95942i	−0.0382873	−	0.364280i
$67$	5.50558	−	4.95725i	0.672614	−	0.605625i	−0.260384	−	0.965505i	$-0.583849\pi$
$67$	5.50558	−	4.95725i	0.672614	−	0.605625i	0.932998	+	0.359881i	$0.117183\pi$
$68$		−	6.51719i		−	0.790326i
$69$	1.35632	−	4.17431i	0.163281	−	0.502528i
$70$	0.297856	+	0.0119757i	0.0356007	+	0.00143137i
$71$	−1.02140	+	1.13438i	−0.121218	+	0.134626i	−0.800699	−	0.599067i	$-0.795538\pi$
$71$	−1.02140	+	1.13438i	−0.121218	+	0.134626i	0.679481	+	0.733693i	$0.262205\pi$
$72$	0.366752	−	1.72543i	0.0432221	−	0.203344i
$73$	12.1387	+	1.27582i	1.42072	+	0.149324i	0.783517	−	0.621371i	$-0.213424\pi$
$73$	12.1387	+	1.27582i	1.42072	+	0.149324i	0.637205	+	0.770695i	$0.280091\pi$
$74$	−1.79423	−	3.10769i	−0.208575	−	0.361262i
$75$	8.98259	+	6.19779i	1.03722	+	0.715659i
$76$	−2.67202	+	3.44388i	−0.306502	+	0.395040i
$77$	0.106831	−	0.147041i	0.0121746	−	0.0167569i
$78$	3.32144	+	2.99064i	0.376079	+	0.338623i
$79$	−9.04810	+	10.0489i	−1.01799	+	1.13059i	−0.0266014	+	0.999646i	$0.508468\pi$
$79$	−9.04810	+	10.0489i	−1.01799	+	1.13059i	−0.991389	+	0.130947i	$0.958198\pi$
$80$	−0.775860	+	2.09715i	−0.0867438	+	0.234469i
$81$	10.9360	−	2.32452i	1.21511	−	0.258280i
$82$	−7.44973	−	4.30111i	−0.822686	−	0.474978i
$83$	12.2619	+	3.98414i	1.34592	+	0.437316i	0.891318	−	0.453378i	$-0.149781\pi$
$83$	12.2619	+	3.98414i	1.34592	+	0.437316i	0.454602	+	0.890695i	$0.349781\pi$
$84$	0.235405	−	0.171032i	0.0256848	−	0.0186611i
$85$	14.0294	−	3.94284i	1.52170	−	0.427661i
$86$	4.44098	−	1.97725i	0.478883	−	0.213212i
$87$	−8.77640	−	12.0797i	−0.940929	−	1.29508i
$88$	0.801358	+	1.10297i	0.0854250	+	0.117577i
$89$	11.8157	−	5.26069i	1.25246	−	0.557632i	0.330095	−	0.943948i	$-0.392919\pi$
$89$	11.8157	−	5.26069i	1.25246	−	0.557632i	0.922366	+	0.386316i	$0.126253\pi$
$90$	3.93617	−	0.254374i	0.414908	−	0.0268134i
$91$	0.0285348	+	0.271491i	0.00299126	+	0.0284600i
$92$	0.418093	+	1.96697i	0.0435892	+	0.205071i
$93$	13.9048	−	8.02794i	1.44186	−	0.832458i
$94$	−2.25958	+	6.95426i	−0.233058	+	0.717278i
$95$	−9.03008	−	3.66847i	−0.926466	−	0.376377i
$96$	0.674477	+	2.07583i	0.0688385	+	0.211863i
$97$	6.40478	+	5.76689i	0.650307	+	0.585539i	0.926836	−	0.375467i	$-0.122518\pi$
$97$	6.40478	+	5.76689i	0.650307	+	0.585539i	−0.276529	+	0.961006i	$0.589184\pi$
$98$	−6.94398	−	0.729842i	−0.701448	−	0.0737251i
$99$	1.20246	−	2.08272i	0.120852	−	0.209322i
$100$	−4.98386	−	0.401415i	−0.498386	−	0.0401415i
$101$	−3.88202	+	6.72386i	−0.386275	+	0.669049i	−0.991945	−	0.126667i	$-0.959572\pi$
$101$	−3.88202	+	6.72386i	−0.386275	+	0.669049i	0.605670	+	0.795716i	$0.292905\pi$
$102$	8.36112	−	11.5081i	0.827874	−	1.13947i
$103$	−8.24552	+	2.67913i	−0.812455	+	0.263983i	−0.685637	−	0.727943i	$-0.740476\pi$
$103$	−8.24552	+	2.67913i	−0.812455	+	0.263983i	−0.126818	+	0.991926i	$0.540476\pi$
$104$	−2.00296	−	0.425743i	−0.196407	−	0.0417475i
$105$	0.510592	+	0.403276i	0.0498287	+	0.0393557i
$106$	−1.87719	+	5.77741i	−0.182329	+	0.561151i
$107$			8.71726i			0.842729i	0.906891	+	0.421365i	$0.138449\pi$
$107$			8.71726i			0.842729i	−0.906891	+	0.421365i	$0.861551\pi$
$108$	−2.00486	+	1.80518i	−0.192918	+	0.173704i
$109$	13.1633	+	5.86069i	1.26082	+	0.561352i	0.924782	−	0.380497i	$-0.124247\pi$
$109$	13.1633	+	5.86069i	1.26082	+	0.561352i	0.336036	+	0.941849i	$0.390914\pi$
$110$	−1.88953	+	2.39235i	−0.180159	+	0.228101i
$111$	0.818703	−	7.78944i	0.0777079	−	0.739341i
$112$	−0.0542233	+	0.121788i	−0.00512362	+	0.0115078i
$113$	8.36258	+	11.5101i	0.786685	+	1.08278i	0.994513	+	0.104614i	$0.0333606\pi$
$113$	8.36258	+	11.5101i	0.786685	+	1.08278i	−0.207828	+	0.978165i	$0.566639\pi$
$114$	−9.13653	+	2.65319i	−0.855715	+	0.248494i
$115$	−3.98130	+	2.09001i	−0.371258	+	0.194895i
$116$	6.24947	+	2.78244i	0.580248	+	0.258343i
$117$	0.751001	+	3.53318i	0.0694301	+	0.326643i
$118$	−8.57833	−	4.95270i	−0.789699	−	0.455933i
$119$	0.849841	−	0.180639i	0.0779048	−	0.0165592i
$120$	−4.06052	+	2.70778i	−0.370673	+	0.247186i
$121$	−2.82481	−	8.69387i	−0.256801	−	0.790352i
$122$	11.7406	−	3.81475i	1.06294	−	0.345371i
$123$	−7.63675	−	17.1524i	−0.688582	−	1.54658i
$124$	−3.67806	+	6.37059i	−0.330300	+	0.572096i
$125$	−2.15107	−	10.9715i	−0.192398	−	0.981317i
$126$	0.235161			0.0209498
$127$	−1.44976	−	3.25621i	−0.128645	−	0.288942i	0.837727	−	0.546089i	$-0.183884\pi$
$127$	−1.44976	−	3.25621i	−0.128645	−	0.288942i	−0.966372	+	0.257147i	$0.917217\pi$
$128$	−0.743145	−	0.669131i	−0.0656853	−	0.0591433i
$129$	10.3786	+	2.20603i	0.913782	+	0.194230i
$130$	−0.295289	−	4.56928i	−0.0258986	−	0.400753i
$131$	6.36868	−	1.35370i	0.556434	−	0.118274i	0.0788928	−	0.996883i	$-0.474862\pi$
$131$	6.36868	−	1.35370i	0.556434	−	0.118274i	0.477541	+	0.878609i	$0.341528\pi$
$132$			2.97572i			0.259004i
$133$	−0.523142	−	0.252976i	−0.0453622	−	0.0219358i
$134$	−5.99360	+	4.35460i	−0.517768	+	0.376180i
$135$	−5.09889	−	3.22368i	−0.438842	−	0.277451i
$136$	−0.681232	+	6.48149i	−0.0584152	+	0.555783i
$137$	−12.1327	+	1.27520i	−1.03657	+	0.108948i	−0.607497	−	0.794322i	$-0.707826\pi$
$137$	−12.1327	+	1.27520i	−1.03657	+	0.108948i	−0.429073	+	0.903270i	$0.641160\pi$
$138$	−1.78522	+	4.00967i	−0.151968	+	0.341326i
$139$	8.21811	−	3.65894i	0.697051	−	0.310347i	−0.0274476	−	0.999623i	$-0.508738\pi$
$139$	8.21811	−	3.65894i	0.697051	−	0.310347i	0.724499	+	0.689276i	$0.242071\pi$
$140$	−0.294973	−	0.0430446i	−0.0249298	−	0.00363793i
$141$	−12.9118	+	9.38099i	−1.08737	+	0.790022i
$142$	1.13438	−	1.02140i	0.0951951	−	0.0857141i
$143$	−2.41772	−	1.39587i	−0.202180	−	0.116729i
$144$	−0.545100	+	1.67764i	−0.0454250	+	0.139804i
$145$	−2.20881	+	15.1364i	−0.183432	+	1.25701i
$146$	−11.9388	−	2.53767i	−0.988062	−	0.210019i
$147$	−11.3254	−	10.1974i	−0.934101	−	0.841068i
$148$	1.45955	+	3.27821i	0.119975	+	0.269468i
$149$	−2.71893	−	4.70932i	−0.222743	−	0.385803i	0.732897	−	0.680340i	$-0.238168\pi$
$149$	−2.71893	−	4.70932i	−0.222743	−	0.385803i	−0.955640	+	0.294537i	$0.904834\pi$
$150$	−8.28553	−	7.10277i	−0.676511	−	0.579939i
$151$	10.3634			0.843358			0.421679	−	0.906745i	$-0.361441\pi$
$151$	10.3634			0.843358			0.421679	+	0.906745i	$0.361441\pi$
$152$	3.01737	−	3.14571i	0.244741	−	0.255151i
$153$	10.9335	−	3.55252i	0.883923	−	0.287204i
$154$	−0.121616	+	0.135068i	−0.00980011	+	0.0108841i
$155$	−15.9390	−	4.06351i	−1.28025	−	0.326389i
$156$	−2.99064	−	3.32144i	−0.239443	−	0.265928i
$157$	−14.3297	+	8.27326i	−1.14364	+	0.660278i	−0.947328	−	0.320264i	$-0.896228\pi$
$157$	−14.3297	+	8.27326i	−1.14364	+	0.660278i	−0.196307	+	0.980542i	$0.562895\pi$
$158$	10.0489	−	9.04810i	0.799450	−	0.719828i
$159$	−10.7268	+	7.79346i	−0.850689	+	0.618062i
$160$	0.990822	−	2.00456i	0.0783313	−	0.158475i
$161$	−0.244904	+	0.109038i	−0.0193012	+	0.00859344i
$162$	−11.1191	+	1.16866i	−0.873596	+	0.0918187i
$163$	8.25420	+	11.3609i	0.646519	+	0.889857i	0.998942	−	0.0459838i	$-0.0146422\pi$
$163$	8.25420	+	11.3609i	0.646519	+	0.889857i	−0.352423	+	0.935841i	$0.614642\pi$
$164$	6.95934	+	5.05625i	0.543433	+	0.394827i
$165$	−6.40575	+	1.80028i	−0.498687	+	0.140152i
$166$	−11.7783	−	5.24403i	−0.914173	−	0.407016i
$167$	−9.62996	+	8.67086i	−0.745189	+	0.670971i	−0.951546	−	0.307506i	$-0.900506\pi$
$167$	−9.62996	+	8.67086i	−0.745189	+	0.670971i	0.206357	+	0.978477i	$0.433839\pi$
$168$	−0.251993	+	0.145488i	−0.0194417	+	0.0112247i
$169$	−8.61444	+	1.83105i	−0.662649	+	0.140850i
$170$	−14.3646	+	2.45477i	−1.10172	+	0.188272i
$171$	−7.23412	−	2.60545i	−0.553207	−	0.199244i
$172$	−4.62333	+	1.50221i	−0.352525	+	0.114542i
$173$	6.69328	+	0.703492i	0.508880	+	0.0534855i	0.355490	−	0.934680i	$-0.384314\pi$
$173$	6.69328	+	0.703492i	0.508880	+	0.0534855i	0.153391	+	0.988166i	$0.450981\pi$
$174$	7.46565	+	12.9309i	0.565970	+	0.980288i
$175$	−0.0857949	−	0.661021i	−0.00648549	−	0.0499685i
$176$	−0.681676	−	1.18070i	−0.0513832	−	0.0889984i
$177$	−8.79367	−	19.7509i	−0.660973	−	1.48457i
$178$	−12.3009	+	3.99679i	−0.921988	+	0.299572i
$179$	2.97333	+	9.15097i	0.222237	+	0.683975i	0.998560	+	0.0536403i	$0.0170825\pi$
$179$	2.97333	+	9.15097i	0.222237	+	0.683975i	−0.776323	+	0.630335i	$0.782918\pi$
$180$	−3.94119	−	0.158461i	−0.293759	−	0.0118110i
$181$	−0.672665	−	0.747070i	−0.0499988	−	0.0555293i	0.717627	−	0.696428i	$-0.245228\pi$
$181$	−0.672665	−	0.747070i	−0.0499988	−	0.0555293i	−0.767625	+	0.640899i	$0.778562\pi$
$182$		−	0.272986i		−	0.0202351i
$183$	25.6257	+	8.32628i	1.89430	+	0.615497i
$184$	−0.210198	−	1.99990i	−0.0154960	−	0.147435i
$185$	−6.17389	+	5.12523i	−0.453914	+	0.376814i
$186$	−14.6678	+	6.53051i	−1.07549	+	0.478840i
$187$	−3.61395	+	8.11705i	−0.264278	+	0.593578i
$188$	2.97412	−	6.67998i	0.216910	−	0.487188i
$189$	−0.290965	−	0.211399i	−0.0211646	−	0.0153770i
$190$	8.59715	+	4.59228i	0.623703	+	0.333159i
$191$	−0.337072	+	0.244897i	−0.0243897	+	0.0177201i	−0.599913	−	0.800065i	$-0.704798\pi$
$191$	−0.337072	+	0.244897i	−0.0243897	+	0.0177201i	0.575524	+	0.817785i	$0.304798\pi$
$192$	−0.453799	−	2.13496i	−0.0327501	−	0.154077i
$193$	−5.52320	+	3.18882i	−0.397569	+	0.229536i	−0.685434	−	0.728134i	$-0.740388\pi$
$193$	−5.52320	+	3.18882i	−0.397569	+	0.229536i	0.287866	+	0.957671i	$0.407054\pi$
$194$	−5.76689	−	6.40478i	−0.414039	−	0.459836i
$195$	5.34066	−	8.44730i	0.382453	−	0.604924i
$196$	6.82965	+	1.45169i	0.487832	+	0.103692i
$197$	−13.5272	+	4.39525i	−0.963773	+	0.313149i	−0.748300	−	0.663361i	$-0.769129\pi$
$197$	−13.5272	+	4.39525i	−0.963773	+	0.313149i	−0.215473	+	0.976510i	$0.569129\pi$
$198$	−1.41358	+	1.94562i	−0.100459	+	0.138269i
$199$	3.51052	−	6.08040i	0.248854	−	0.431028i	−0.714354	−	0.699784i	$-0.753279\pi$
$199$	3.51052	−	6.08040i	0.248854	−	0.431028i	0.963208	+	0.268756i	$0.0866127\pi$
$200$	4.91460	+	0.920171i	0.347515	+	0.0650659i
$201$	−16.1702			−1.14056
$202$	4.56359	−	6.28124i	0.321093	−	0.441946i
$203$	−0.189611	+	0.892052i	−0.0133081	+	0.0626097i
$204$	−9.51824	+	10.5711i	−0.666410	+	0.740123i
$205$	−6.67411	+	18.0401i	−0.466140	+	1.25998i
$206$	8.48039	−	1.80256i	0.590857	−	0.125591i
$207$	−3.07198	+	1.77361i	−0.213517	+	0.123274i
$208$	1.94749	+	0.632777i	0.135034	+	0.0438752i
$209$	5.23768	−	2.80759i	0.362298	−	0.194205i
$210$	−0.465641	−	0.454439i	−0.0321323	−	0.0313592i
$211$	2.17509	−	20.6946i	0.149739	−	1.42467i	−0.619141	−	0.785280i	$-0.712519\pi$
$211$	2.17509	−	20.6946i	0.149739	−	1.42467i	0.768880	−	0.639393i	$-0.220814\pi$
$212$	2.47081	−	5.54954i	0.169696	−	0.381144i
$213$	3.31348	−	0.348261i	0.227036	−	0.0238624i
$214$	0.911202	−	8.66951i	0.0622885	−	0.592635i
$215$	−6.03083	−	9.04368i	−0.411299	−	0.616774i
$216$	2.18257	−	1.58573i	0.148505	−	0.107895i
$217$	−0.932670	−	0.303043i	−0.0633138	−	0.0205719i
$218$	−12.4786	−	7.20453i	−0.845158	−	0.487952i
$219$	−17.8259	−	19.7977i	−1.20456	−	1.33780i
$220$	2.12924	−	2.18173i	0.143554	−	0.147092i
$221$	−4.12393	−	12.6921i	−0.277406	−	0.853766i
$222$	−1.62844	+	7.66119i	−0.109294	+	0.514186i
$223$	−15.2825	−	1.60625i	−1.02339	−	0.107563i	−0.422064	−	0.906566i	$-0.638694\pi$
$223$	−15.2825	−	1.60625i	−1.02339	−	0.107563i	−0.601327	+	0.799003i	$0.705361\pi$
$224$	0.0666565	−	0.115453i	0.00445368	−	0.00771400i
$225$	−2.04327	−	8.57995i	−0.136218	−	0.571997i
$226$	−7.11363	−	12.3212i	−0.473192	−	0.819592i
$227$	8.94184	−	12.3074i	0.593491	−	0.816870i	−0.401602	−	0.915814i	$-0.631547\pi$
$227$	8.94184	−	12.3074i	0.593491	−	0.816870i	0.995093	+	0.0989444i	$0.0315466\pi$
$228$	9.36381	−	1.68362i	0.620134	−	0.111501i
$229$	5.86795	+	18.0597i	0.387765	+	1.19342i	0.934455	+	0.356082i	$0.115888\pi$
$229$	5.86795	+	18.0597i	0.387765	+	1.19342i	−0.546690	+	0.837335i	$0.684112\pi$
$230$	4.17795	−	1.66241i	0.275486	−	0.109616i
$231$	−0.388034	+	0.0824792i	−0.0255308	+	0.00542673i
$232$	−5.92439	−	3.42045i	−0.388955	−	0.224563i
$233$	0.801077	+	3.76877i	0.0524803	+	0.246901i	0.996566	−	0.0827989i	$-0.0263859\pi$
$233$	0.801077	+	3.76877i	0.0524803	+	0.246901i	−0.944086	+	0.329699i	$0.893053\pi$
$234$	−0.377569	−	3.59233i	−0.0246825	−	0.234838i
$235$	16.1791	+	2.36097i	1.05541	+	0.154013i
$236$	8.01364	+	5.82225i	0.521643	+	0.378996i
$237$	29.3525	−	3.08508i	1.90665	−	0.200397i
$238$	−0.864068	+	0.0908172i	−0.0560092	+	0.00588680i
$239$	−8.80525	−	6.39739i	−0.569564	−	0.413813i	0.265383	−	0.964143i	$-0.414502\pi$
$239$	−8.80525	−	6.39739i	−0.569564	−	0.413813i	−0.834947	+	0.550331i	$0.814502\pi$
$240$	4.32132	−	2.26851i	0.278940	−	0.146432i
$241$	0.499281	+	4.75035i	0.0321615	+	0.305997i	0.998763	+	0.0497142i	$0.0158310\pi$
$241$	0.499281	+	4.75035i	0.0321615	+	0.305997i	−0.966602	+	0.256282i	$0.917502\pi$
$242$	1.90058	+	8.94152i	0.122174	+	0.574782i
$243$	−14.1243	−	8.15467i	−0.906075	−	0.523122i
$244$	−12.0750	+	2.56663i	−0.773025	+	0.164311i
$245$	1.00687	+	15.5802i	0.0643265	+	0.995385i
$246$	5.80200	+	17.8567i	0.369922	+	1.13850i
$247$	−3.02453	+	8.39770i	−0.192446	+	0.534333i
$248$	4.32382	−	5.95123i	0.274563	−	0.377903i
$249$	−14.0704	−	24.3707i	−0.891677	−	1.54443i
$250$	0.992460	+	11.1362i	0.0627687	+	0.704315i
$251$	−2.93151	+	5.07753i	−0.185035	+	0.320491i	−0.943588	−	0.331121i	$-0.892573\pi$
$251$	−2.93151	+	5.07753i	−0.185035	+	0.320491i	0.758553	+	0.651611i	$0.225907\pi$
$252$	−0.233873	−	0.0245811i	−0.0147326	−	0.00154846i
$253$	0.570007	−	2.68167i	0.0358360	−	0.168595i
$254$	1.10145	+	3.38992i	0.0691111	+	0.212702i
$255$	−28.5145	−	14.0942i	−1.78565	−	0.882614i
$256$	0.669131	+	0.743145i	0.0418207	+	0.0464466i
$257$	−9.65916	−	5.57672i	−0.602522	−	0.347866i	0.167511	−	0.985870i	$-0.446427\pi$
$257$	−9.65916	−	5.57672i	−0.602522	−	0.347866i	−0.770033	+	0.638004i	$0.779760\pi$
$258$	−10.0911	−	3.27881i	−0.628246	−	0.204130i
$259$	−0.387024	+	0.281189i	−0.0240485	+	0.0174722i
$260$	−0.183949	+	4.57512i	−0.0114080	+	0.283737i
$261$	−1.26137	+	12.0011i	−0.0780765	+	0.742849i
$262$	−6.47529	+	0.680580i	−0.400045	+	0.0420464i
$263$	9.88052	−	22.1920i	0.609259	−	1.36842i	−0.300699	−	0.953719i	$-0.597220\pi$
$263$	9.88052	−	22.1920i	0.609259	−	1.36842i	0.909958	−	0.414699i	$-0.136113\pi$
$264$	0.311048	−	2.95942i	0.0191437	−	0.182140i
$265$	13.4411	+	1.96143i	0.825683	+	0.120490i
$266$	0.493833	+	0.306274i	0.0302789	+	0.0187789i
$267$	−26.8485	−	8.72361i	−1.64310	−	0.533876i
$268$	6.41594	−	3.70425i	0.391916	−	0.226273i
$269$	9.75402	−	2.07328i	0.594713	−	0.126410i	0.0992850	−	0.995059i	$-0.468344\pi$
$269$	9.75402	−	2.07328i	0.594713	−	0.126410i	0.495428	+	0.868649i	$0.335011\pi$
$270$	4.73399	+	3.73900i	0.288101	+	0.227548i
$271$	8.31729	−	9.23729i	0.505239	−	0.561125i	−0.435529	−	0.900175i	$-0.643439\pi$
$271$	8.31729	−	9.23729i	0.505239	−	0.561125i	0.940769	+	0.339049i	$0.110105\pi$
$272$	1.35500	−	6.37478i	0.0821590	−	0.386528i
$273$	0.350223	−	0.482041i	0.0211965	−	0.0291744i
$274$	12.1996			0.737003
$275$	5.98472	+	3.26363i	0.360892	+	0.196804i
$276$	2.19457	−	3.80110i	0.132097	−	0.228799i
$277$	3.23655	−	4.45473i	0.194465	−	0.267659i	−0.700638	−	0.713517i	$-0.747101\pi$
$277$	3.23655	−	4.45473i	0.194465	−	0.267659i	0.895104	+	0.445858i	$0.147101\pi$
$278$	−8.55556	+	2.77987i	−0.513128	+	0.166725i
$279$	−12.6925	−	2.69787i	−0.759879	−	0.161517i
$280$	0.288858	+	0.0736419i	0.0172625	+	0.00440094i
$281$	−20.6160	−	22.8964i	−1.22985	−	1.36588i	−0.907934	−	0.419113i	$-0.862341\pi$
$281$	−20.6160	−	22.8964i	−1.22985	−	1.36588i	−0.321912	−	0.946770i	$-0.604326\pi$
$282$	13.8217	−	7.97994i	0.823068	−	0.475199i
$283$	5.96704	+	28.0727i	0.354704	+	1.66875i	0.687834	+	0.725868i	$0.258562\pi$
$283$	5.96704	+	28.0727i	0.354704	+	1.66875i	−0.333130	+	0.942881i	$0.608105\pi$
$284$	−1.23493	+	0.897230i	−0.0732797	+	0.0532408i
$285$	9.28930	+	19.1386i	0.550251	+	1.13367i
$286$	2.25857	+	1.64095i	0.133552	+	0.0970312i
$287$	−0.466440	+	1.04764i	−0.0275331	+	0.0618404i
$288$	0.717475	−	1.61148i	0.0422776	−	0.0949571i
$289$	−23.2715	+	10.3611i	−1.36891	+	0.609478i
$290$	3.77890	−	14.8226i	0.221904	−	0.870412i
$291$	−1.96630	−	18.7081i	−0.115267	−	1.09669i
$292$	11.6081	+	3.77171i	0.679315	+	0.220723i
$293$			3.55408i			0.207632i	0.994597	+	0.103816i	$0.0331053\pi$
$293$			3.55408i			0.207632i	−0.994597	+	0.103816i	$0.966895\pi$
$294$	10.1974	+	11.3254i	0.594725	+	0.660509i
$295$	−7.68521	+	20.7731i	−0.447450	+	1.20946i
$296$	−1.10889	−	3.41282i	−0.0644531	−	0.198366i
$297$	3.49804	−	1.13658i	0.202977	−	0.0659512i
$298$	2.21178	+	4.96773i	0.128125	+	0.287773i
$299$	2.05888	+	3.56609i	0.119068	+	0.206232i
$300$	7.49770	+	7.92994i	0.432880	+	0.457835i
$301$	−0.324034	−	0.561244i	−0.0186770	−	0.0323496i
$302$	−10.3066	−	1.08327i	−0.593077	−	0.0623349i
$303$	16.1168	−	5.23667i	0.925886	−	0.300839i
$304$	−3.32966	+	2.81307i	−0.190969	+	0.161341i
$305$	−12.8304	−	24.4408i	−0.734665	−	1.39947i
$306$	−11.2450	+	2.39019i	−0.642832	+	0.136638i
$307$	1.94567	−	1.12333i	0.111045	−	0.0641119i	−0.443449	−	0.896300i	$-0.646245\pi$
$307$	1.94567	−	1.12333i	0.111045	−	0.0641119i	0.554494	+	0.832188i	$0.312912\pi$
$308$	0.135068	−	0.121616i	0.00769624	−	0.00692972i
$309$	17.2873	+	7.69679i	0.983439	+	0.437855i
$310$	15.4269	+	5.70732i	0.876189	+	0.324154i
$311$	−17.3751	−	12.6238i	−0.985253	−	0.715829i	−0.0263769	−	0.999652i	$-0.508397\pi$
$311$	−17.3751	−	12.6238i	−0.985253	−	0.715829i	−0.958877	+	0.283824i	$0.908397\pi$
$312$	2.62707	+	3.61585i	0.148729	+	0.204707i
$313$	29.8341	−	3.13569i	1.68632	−	0.177240i	0.787730	−	0.616021i	$-0.211256\pi$
$313$	29.8341	−	3.13569i	1.68632	−	0.177240i	0.898594	+	0.438781i	$0.144590\pi$
$314$	15.1160	−	6.73008i	0.853046	−	0.379800i
$315$	−0.0885761	−	0.518323i	−0.00499070	−	0.0292042i
$316$	−10.9397	+	7.94813i	−0.615404	+	0.447117i
$317$	−6.34974	+	5.71733i	−0.356637	+	0.321117i	−0.827900	−	0.560875i	$-0.810465\pi$
$317$	−6.34974	+	5.71733i	−0.356637	+	0.321117i	0.471264	+	0.881992i	$0.343798\pi$
$318$	11.4827	−	6.62951i	0.643915	−	0.371765i
$319$	−6.24067	−	6.93097i	−0.349411	−	0.388060i
$320$	−1.19493	+	1.89001i	−0.0667985	+	0.105655i
$321$	12.7314	−	14.1396i	0.710597	−	0.789198i
$322$	0.254960	−	0.0828417i	0.0142084	−	0.00461659i
$323$	27.5869	+	6.77961i	1.53498	+	0.377227i
$324$	11.1803			0.621129
$325$	−9.96001	+	2.37192i	−0.552482	+	0.131571i
$326$	−7.02144	−	12.1615i	−0.388882	−	0.673563i
$327$	−12.7919	−	28.7310i	−0.707391	−	1.58883i
$328$	−6.39269	−	5.75600i	−0.352977	−	0.317822i
$329$	0.953503	+	0.202673i	0.0525683	+	0.0111737i
$330$	6.55884	−	1.12084i	0.361052	−	0.0617001i
$331$	−6.28672	+	19.3485i	−0.345549	+	1.06349i	0.615740	+	0.787950i	$0.288857\pi$
$331$	−6.28672	+	19.3485i	−0.345549	+	1.06349i	−0.961289	+	0.275542i	$0.911143\pi$
$332$	11.1656	+	6.44647i	0.612793	+	0.353796i
$333$	−4.70407	+	4.23557i	−0.257782	+	0.232108i
$334$	10.4836	−	7.61675i	0.573635	−	0.416770i
$335$	11.8556	+	11.5704i	0.647741	+	0.632157i
$336$	0.265820	−	0.118351i	0.0145017	−	0.00645656i
$337$	−6.11105	+	13.7256i	−0.332890	+	0.747683i	0.667106	+	0.744963i	$0.267533\pi$
$337$	−6.11105	+	13.7256i	−0.332890	+	0.747683i	−0.999996	+	0.00272080i	$0.999134\pi$
$338$	8.75864	−	0.920570i	0.476407	−	0.0500724i
$339$	3.24594	−	30.8831i	0.176295	−	1.67734i
$340$	14.5426	−	0.939809i	0.788681	−	0.0509683i
$341$	8.11361	−	5.89489i	0.439377	−	0.319226i
$342$	6.92214	+	3.34735i	0.374307	+	0.181004i
$343$			1.86401i			0.100647i
$344$	4.75502	−	1.01071i	0.256374	−	0.0544939i
$345$	9.51020	+	2.42455i	0.512012	+	0.130533i
$346$	−6.58308	−	1.39928i	−0.353908	−	0.0752255i
$347$	10.6376	+	9.57814i	0.571056	+	0.514181i	0.903298	−	0.429013i	$-0.141138\pi$
$347$	10.6376	+	9.57814i	0.571056	+	0.514181i	−0.332242	+	0.943194i	$0.607805\pi$
$348$	−6.07311	−	13.6404i	−0.325553	−	0.731204i
$349$	30.6260			1.63937			0.819686	−	0.572813i	$-0.194148\pi$
$349$	30.6260			1.63937			0.819686	+	0.572813i	$0.194148\pi$
$350$	0.0162295	+	0.666368i	0.000867501	+	0.0356189i
$351$	−2.76216	+	4.78420i	−0.147433	+	0.255362i
$352$	0.554525	+	1.24548i	0.0295563	+	0.0663845i
$353$	−30.0113	+	9.75126i	−1.59734	+	0.519007i	−0.966448	−	0.256864i	$-0.917311\pi$
$353$	−30.0113	+	9.75126i	−1.59734	+	0.519007i	−0.630892	+	0.775871i	$0.717311\pi$
$354$	6.68097	+	20.5619i	0.355089	+	1.09285i
$355$	−2.67856	−	2.11558i	−0.142163	−	0.112284i
$356$	12.6513	−	2.68911i	0.670515	−	0.142522i
$357$	−1.64229	−	0.948175i	−0.0869190	−	0.0501827i
$358$	−2.00050	−	9.41163i	−0.105730	−	0.497420i
$359$	−5.65828	−	2.51923i	−0.298632	−	0.132960i	0.251951	−	0.967740i	$-0.418928\pi$
$359$	−5.65828	−	2.51923i	−0.298632	−	0.132960i	−0.550583	+	0.834780i	$0.685595\pi$
$360$	3.90304	+	0.569560i	0.205708	+	0.0300184i
$361$	−11.7981	−	14.8931i	−0.620955	−	0.783847i
$362$	0.590890	+	0.813290i	0.0310565	+	0.0427456i
$363$	−8.11531	+	18.2273i	−0.425943	+	0.956684i
$364$	−0.0285348	+	0.271491i	−0.00149563	+	0.0142300i
$365$	−1.09644	+	27.2703i	−0.0573903	+	1.42739i
$366$	−24.6150	−	10.9593i	−1.28664	−	0.572851i
$367$	−22.6892	+	20.4295i	−1.18437	+	1.06641i	−0.187922	+	0.982184i	$0.560175\pi$
$367$	−22.6892	+	20.4295i	−1.18437	+	1.06641i	−0.996447	+	0.0842267i	$0.973158\pi$
$368$			2.01092i			0.104826i
$369$	−4.68906	+	14.4314i	−0.244103	+	0.751271i
$370$	6.67581	−	4.45180i	0.347059	−	0.231438i
$371$	0.792143	+	0.168375i	0.0411260	+	0.00874161i
$372$	15.2700	−	4.96154i	0.791715	−	0.257244i
$373$	13.5639	−	18.6691i	0.702311	−	0.966649i	−0.297617	−	0.954685i	$-0.596192\pi$
$373$	13.5639	−	18.6691i	0.702311	−	0.966649i	0.999928	−	0.0119633i	$-0.00380812\pi$
$374$	4.44261	−	7.69483i	0.229722	−	0.397890i
$375$	−12.5345	+	20.9376i	−0.647279	+	1.08121i
$376$	−3.65607	+	6.33250i	−0.188548	+	0.326574i
$377$	13.9314	+	1.46425i	0.717505	+	0.0754128i
$378$	0.267274	+	0.240655i	0.0137471	+	0.0123779i
$379$	6.21522	+	19.1285i	0.319254	+	0.982564i	0.973968	+	0.226687i	$0.0727893\pi$
$379$	6.21522	+	19.1285i	0.319254	+	0.982564i	−0.654713	+	0.755877i	$0.727211\pi$
$380$	−8.07003	−	5.46577i	−0.413984	−	0.280388i
$381$	−2.40409	+	7.39901i	−0.123165	+	0.379063i
$382$	0.360824	−	0.208322i	0.0184614	−	0.0106587i
$383$	−2.80956	−	13.2179i	−0.143562	−	0.675404i	−0.989784	−	0.142574i	$-0.954462\pi$
$383$	−2.80956	−	13.2179i	−0.143562	−	0.675404i	0.846222	−	0.532830i	$-0.178871\pi$
$384$	0.228149	+	2.17070i	0.0116427	+	0.110773i
$385$	0.343515	+	0.217181i	0.0175071	+	0.0110686i
$386$	5.82627	−	2.59402i	0.296549	−	0.132032i
$387$	−5.04035	−	6.93744i	−0.256215	−	0.352650i
$388$	5.06582	+	6.97250i	0.257178	+	0.353975i
$389$	−0.302078	+	0.134494i	−0.0153160	+	0.00681910i	−0.414380	−	0.910104i	$-0.636002\pi$
$389$	−0.302078	+	0.134494i	−0.0153160	+	0.00681910i	0.399064	+	0.916923i	$0.369335\pi$
$390$	−6.19439	+	7.84277i	−0.313665	+	0.397134i
$391$	10.6026	−	7.70323i	0.536196	−	0.389569i
$392$	−6.64049	−	2.15763i	−0.335396	−	0.108977i
$393$	−12.3072	−	7.10558i	−0.620818	−	0.358429i
$394$	13.9125	−	2.95720i	0.700903	−	0.148981i
$395$	−23.7281	−	18.7409i	−1.19389	−	0.942959i
$396$	1.60921	−	1.78721i	0.0808657	−	0.0898105i
$397$	−26.6281	−	23.9761i	−1.33643	−	1.20333i	−0.961024	−	0.276464i	$-0.910837\pi$
$397$	−26.6281	−	23.9761i	−1.33643	−	1.20333i	−0.375404	−	0.926861i	$-0.622496\pi$
$398$	−4.12686	+	5.68014i	−0.206861	+	0.284720i
$399$	0.479085	+	1.17437i	0.0239842	+	0.0587923i
$400$	−4.79149	−	1.42885i	−0.239575	−	0.0714423i
$401$	−1.87194	−	3.24229i	−0.0934801	−	0.161912i	0.815493	−	0.578767i	$-0.196466\pi$
$401$	−1.87194	−	3.24229i	−0.0934801	−	0.161912i	−0.908973	+	0.416854i	$0.863132\pi$
$402$	16.0816	+	1.69024i	0.802077	+	0.0843017i
$403$	−3.13182	+	14.7340i	−0.156007	+	0.733954i
$404$	−5.19516	+	5.76981i	−0.258469	+	0.287059i
$405$	6.76398	+	24.0675i	0.336105	+	1.19592i
$406$	0.281817	−	0.867345i	0.0139864	−	0.0430456i
$407$		−	4.89232i		−	0.242503i
$408$	10.5711	−	9.51824i	0.523346	−	0.471223i
$409$	1.17007	+	11.1325i	0.0578565	+	0.550467i	0.984606	+	0.174788i	$0.0559240\pi$
$409$	1.17007	+	11.1325i	0.0578565	+	0.550467i	−0.926750	+	0.375679i	$0.877409\pi$
$410$	8.52326	−	17.2437i	0.420934	−	0.851604i
$411$	21.5421	+	15.6512i	1.06259	+	0.772018i
$412$	−8.62236	+	0.906246i	−0.424793	+	0.0446475i
$413$	−0.537104	+	1.20635i	−0.0264291	+	0.0593608i
$414$	3.24054	−	1.44278i	0.159264	−	0.0709088i
$415$	−7.12204	+	27.9359i	−0.349607	+	1.37132i
$416$	−1.87068	−	0.832878i	−0.0917174	−	0.0408352i
$417$	−18.6738	−	6.06749i	−0.914461	−	0.297126i
$418$	−5.50246	+	2.24472i	−0.269134	+	0.109793i
$419$	6.82230	−	20.9969i	0.333291	−	1.02576i	−0.634267	−	0.773114i	$-0.718698\pi$
$419$	6.82230	−	20.9969i	0.333291	−	1.02576i	0.967558	−	0.252650i	$-0.0813022\pi$
$420$	0.415589	+	0.500622i	0.0202786	+	0.0244278i
$421$	−8.99141	+	9.98597i	−0.438215	+	0.486687i	−0.921281	−	0.388897i	$-0.872856\pi$
$421$	−8.99141	+	9.98597i	−0.438215	+	0.486687i	0.483067	+	0.875584i	$0.339523\pi$
$422$	−4.32634	+	20.3538i	−0.210603	+	0.990809i
$423$	12.8278	+	1.34826i	0.623710	+	0.0655545i
$424$	−3.03736	+	5.26087i	−0.147507	+	0.255490i
$425$	10.8212	+	30.7367i	0.524905	+	1.49095i
$426$	−3.33173			−0.161423
$427$	−0.669376	−	1.50344i	−0.0323934	−	0.0727567i
$428$	−1.81242	+	8.52677i	−0.0876066	+	0.412157i
$429$	1.88297	+	5.79518i	0.0909106	+	0.279794i
$430$	5.05247	+	9.62453i	0.243652	+	0.464136i
$431$	−6.14520	−	6.82494i	−0.296004	−	0.328746i	0.576736	−	0.816930i	$-0.304326\pi$
$431$	−6.14520	−	6.82494i	−0.296004	−	0.328746i	−0.872740	+	0.488184i	$0.837659\pi$
$432$	−2.33637	+	1.34890i	−0.112409	+	0.0648991i
$433$	13.4364	−	12.0982i	0.645710	−	0.581400i	−0.279830	−	0.960050i	$-0.590278\pi$
$433$	13.4364	−	12.0982i	0.645710	−	0.581400i	0.925540	+	0.378650i	$0.123611\pi$
$434$	0.895884	+	0.398873i	0.0430038	+	0.0191465i
$435$	25.6892	−	21.3257i	1.23170	−	1.02249i
$436$	11.6572	+	8.46943i	0.558277	+	0.405612i
$437$	−8.76102	−	0.276407i	−0.419096	−	0.0132223i
$438$	15.6588	+	21.5525i	0.748208	+	1.02982i
$439$	0.862314	−	8.20437i	0.0411560	−	0.391573i	−0.954482	−	0.298269i	$-0.903591\pi$
$439$	0.862314	−	8.20437i	0.0411560	−	0.391573i	0.995638	−	0.0933036i	$-0.0297427\pi$
$440$	−2.34563	+	1.94721i	−0.111824	+	0.0928298i
$441$	1.28743	+	12.2490i	0.0613060	+	0.583287i
$442$	2.77465	+	13.0537i	0.131977	+	0.620901i
$443$	3.44025	+	1.98623i	0.163451	+	0.0943686i	0.579494	−	0.814976i	$-0.303250\pi$
$443$	3.44025	+	1.98623i	0.163451	+	0.0943686i	−0.416043	+	0.909345i	$0.636583\pi$
$444$	2.42033	−	7.44901i	0.114864	−	0.353514i
$445$	13.4426	+	25.6071i	0.637242	+	1.21389i
$446$	15.0309	+	3.19491i	0.711732	+	0.151283i
$447$	−2.46770	+	11.6096i	−0.116718	+	0.549115i
$448$	−0.0783595	+	0.107853i	−0.00370214	+	0.00509555i
$449$	8.70092			0.410622			0.205311	−	0.978697i	$-0.434179\pi$
$449$	8.70092			0.410622			0.205311	+	0.978697i	$0.434179\pi$
$450$	1.13523	+	8.74653i	0.0535151	+	0.412315i
$451$	−5.86392	−	10.1566i	−0.276121	−	0.478256i
$452$	5.78675	+	12.9973i	0.272186	+	0.611339i
$453$	−16.8097	−	15.1355i	−0.789786	−	0.711127i
$454$	−10.1793	+	11.3053i	−0.477739	+	0.530583i
$455$	−0.601694	+	0.102823i	−0.0282078	+	0.00482043i
$456$	−9.48850	+	0.695617i	−0.444340	+	0.0325752i
$457$			39.6366i			1.85412i	0.374912	+	0.927060i	$0.377673\pi$
$457$			39.6366i			1.85412i	−0.374912	+	0.927060i	$0.622327\pi$
$458$	−3.94805	−	18.5741i	−0.184480	−	0.867911i
$459$	16.0621	+	7.15129i	0.749713	+	0.333794i
$460$	−4.32884	+	1.21658i	−0.201833	+	0.0567235i
$461$	−1.02236	+	9.72707i	−0.0476159	+	0.453035i	0.944574	+	0.328298i	$0.106475\pi$
$461$	−1.02236	+	9.72707i	−0.0476159	+	0.453035i	−0.992190	+	0.124736i	$0.960192\pi$
$462$	0.394530	−	0.0414667i	0.0183552	−	0.00192921i
$463$	−18.2069	−	25.0597i	−0.846147	−	1.16462i	−0.984699	−	0.174266i	$-0.944245\pi$
$463$	−18.2069	−	25.0597i	−0.846147	−	1.16462i	0.138551	−	0.990355i	$-0.455755\pi$
$464$	5.53440	+	4.02098i	0.256928	+	0.186669i
$465$	19.9188	+	29.8697i	0.923711	+	1.38517i
$466$	−0.402745	−	3.83186i	−0.0186568	−	0.177508i
$467$	19.2971	+	6.27001i	0.892964	+	0.290142i	0.719330	−	0.694669i	$-0.244449\pi$
$467$	19.2971	+	6.27001i	0.892964	+	0.290142i	0.173634	+	0.984810i	$0.444449\pi$
$468$			3.61212i			0.166970i
$469$	0.660866	+	0.733966i	0.0305160	+	0.0338914i
$470$	−15.8437	−	4.03921i	−0.730814	−	0.186315i
$471$	35.3261	+	7.50880i	1.62774	+	0.345987i
$472$	−7.36115	−	6.62801i	−0.338824	−	0.305079i
$473$	6.59129	+	0.692772i	0.303068	+	0.0318537i
$474$	−29.5142			−1.35563
$475$	6.88370	−	20.6788i	0.315846	−	0.948810i
$476$	0.868827			0.0398226
$477$	10.6570	+	1.12009i	0.487950	+	0.0512856i
$478$	8.08830	+	7.28274i	0.369950	+	0.333105i
$479$	−2.18890	−	0.465266i	−0.100014	−	0.0212585i	0.157633	−	0.987498i	$-0.449614\pi$
$479$	−2.18890	−	0.465266i	−0.100014	−	0.0212585i	−0.257647	+	0.966239i	$0.582947\pi$
$480$	−4.53477	+	1.80438i	−0.206983	+	0.0823584i
$481$	4.91684	+	5.46071i	0.224189	+	0.248987i
$482$		−	4.77651i		−	0.217564i
$483$	0.556491	+	0.180815i	0.0253212	+	0.00822736i
$484$	−0.955523	−	9.09120i	−0.0434329	−	0.413236i
$485$	−11.9447	+	15.1233i	−0.542382	+	0.686715i
$486$	13.1945	+	9.58639i	0.598516	+	0.434848i
$487$	−1.81709	−	2.50101i	−0.0823402	−	0.113332i	0.765860	−	0.643007i	$-0.222314\pi$
$487$	−1.81709	−	2.50101i	−0.0823402	−	0.113332i	−0.848200	+	0.529676i	$0.822314\pi$
$488$	12.2772	−	1.29038i	0.555761	−	0.0584129i
$489$	3.20388	−	30.4829i	0.144884	−	1.37848i
$490$	0.627225	−	15.6001i	0.0283351	−	0.704742i
$491$	−10.1368	−	4.51320i	−0.457468	−	0.203678i	0.165047	−	0.986286i	$-0.447222\pi$
$491$	−10.1368	−	4.51320i	−0.457468	−	0.203678i	−0.622515	+	0.782608i	$0.713889\pi$
$492$	−3.90368	−	18.3654i	−0.175991	−	0.827974i
$493$		−	44.5834i		−	2.00794i
$494$	3.88576	−	8.03555i	0.174828	−	0.361536i
$495$	4.82082	+	2.38285i	0.216680	+	0.107101i
$496$	−4.92221	+	5.46666i	−0.221014	+	0.245460i
$497$	−0.151228	−	0.136166i	−0.00678349	−	0.00610788i
$498$	11.4459	+	25.7079i	0.512903	+	1.15200i
$499$	−14.7614	−	25.5676i	−0.660812	−	1.14456i	−0.980403	−	0.197005i	$-0.936879\pi$
$499$	−14.7614	−	25.5676i	−0.660812	−	1.14456i	0.319590	−	0.947556i	$-0.396455\pi$
$500$	0.177027	−	11.1789i	0.00791689	−	0.499937i
$501$	28.2837			1.26362
$502$	3.44620	−	4.74329i	0.153811	−	0.211703i
$503$	−4.21514	+	19.8307i	−0.187944	+	0.884206i	0.778563	+	0.627566i	$0.215949\pi$
$503$	−4.21514	+	19.8307i	−0.187944	+	0.884206i	−0.966507	+	0.256640i	$0.917385\pi$
$504$	0.230023	+	0.0488928i	0.0102460	+	0.00217786i
$505$	−15.5635	−	7.69278i	−0.692567	−	0.342324i
$506$	−0.847196	+	2.60740i	−0.0376625	+	0.115913i
$507$	16.6471	+	9.61120i	0.739323	+	0.426848i
$508$	−0.741074	−	3.48648i	−0.0328798	−	0.154687i
$509$	1.08896	+	10.3608i	0.0482674	+	0.459234i	0.991785	+	0.127913i	$0.0408277\pi$
$509$	1.08896	+	10.3608i	0.0482674	+	0.459234i	−0.943518	+	0.331321i	$0.892506\pi$
$510$	26.8850	+	16.9976i	1.19049	+	0.752666i
$511$	−0.170084	+	1.61824i	−0.00752407	+	0.0715868i
$512$	−0.587785	−	0.809017i	−0.0259767	−	0.0357538i
$513$	−5.55567	−	10.3643i	−0.245289	−	0.457597i
$514$	9.02332	+	6.55583i	0.398002	+	0.289165i
$515$	−7.16729	−	18.0128i	−0.315829	−	0.793739i
$516$	9.69312	+	4.31565i	0.426716	+	0.189986i
$517$	−7.40843	+	6.67058i	−0.325822	+	0.293372i
$518$	0.414296	−	0.239194i	0.0182031	−	0.0105096i
$519$	−9.82925	−	10.9165i	−0.431456	−	0.479181i
$520$	0.661172	−	4.53083i	0.0289943	−	0.198690i
$521$	−12.5621	−	38.6621i	−0.550354	−	1.69382i	−0.707907	−	0.706306i	$-0.750360\pi$
$521$	−12.5621	−	38.6621i	−0.550354	−	1.69382i	0.157553	−	0.987511i	$-0.449640\pi$
$522$	2.50891	−	11.8035i	0.109812	−	0.516625i
$523$	−6.19184	−	13.9071i	−0.270750	−	0.608115i	0.726086	−	0.687604i	$-0.241338\pi$
$523$	−6.19184	−	13.9071i	−0.270750	−	0.608115i	−0.996836	+	0.0794897i	$0.974671\pi$
$524$	6.51096			0.284432
$525$	−0.826246	+	1.19750i	−0.0360604	+	0.0522630i
$526$	−12.1461	+	21.0377i	−0.529595	+	0.917285i
$527$	47.6787	+	5.01123i	2.07691	+	0.218293i
$528$	−0.618688	+	2.91070i	−0.0269249	+	0.126672i
$529$	12.6842	−	14.0872i	0.551486	−	0.612488i
$530$	−13.1625	−	3.35567i	−0.571742	−	0.145761i
$531$	−5.39943	+	16.6177i	−0.234315	+	0.721148i
$532$	−0.459114	−	0.356216i	−0.0199051	−	0.0154439i
$533$	16.7527	+	5.44328i	0.725640	+	0.235775i
$534$	25.7896	+	11.4823i	1.11602	+	0.496886i
$535$	−19.4518	+	1.25707i	−0.840975	+	0.0543478i
$536$	−6.76800	+	3.01331i	−0.292333	+	0.130155i
$537$	8.54199	−	19.1856i	0.368614	−	0.827920i
$538$	−9.91731	+	1.04235i	−0.427565	+	0.0449389i
$539$	−7.70122	−	5.59526i	−0.331715	−	0.241005i
$540$	−4.31722	−	4.21336i	−0.185784	−	0.181314i
$541$	−3.74502	−	35.6315i	−0.161011	−	1.53192i	−0.714840	−	0.699288i	$-0.753500\pi$
$541$	−3.74502	−	35.6315i	−0.161011	−	1.53192i	0.553829	−	0.832631i	$-0.313166\pi$
$542$	−9.23729	+	8.31729i	−0.396775	+	0.357258i
$543$			2.19418i			0.0941614i
$544$	−2.01392	+	6.19822i	−0.0863463	+	0.265746i
$545$	−11.1794	+	30.2180i	−0.478873	+	1.29439i
$546$	−0.398691	+	0.442792i	−0.0170624	+	0.0189497i
$547$	3.37210	−	15.8645i	0.144181	−	0.678316i	−0.845376	−	0.534172i	$-0.820624\pi$
$547$	3.37210	−	15.8645i	0.144181	−	0.678316i	0.989557	−	0.144145i	$-0.0460431\pi$
$548$	−12.1327	−	1.27520i	−0.518285	−	0.0544740i
$549$	−10.8880	−	18.8585i	−0.464688	−	0.804863i
$550$	−5.61079	−	3.87132i	−0.239245	−	0.165074i
$551$	−18.2790	+	23.5592i	−0.778713	+	1.00366i
$552$	−2.57987	+	3.55088i	−0.109806	+	0.151136i
$553$	−1.33965	−	1.20623i	−0.0569679	−	0.0512941i
$554$	−3.68447	+	4.09201i	−0.156538	+	0.173853i
$555$	17.4995	+	0.703592i	0.742813	+	0.0298658i
$556$	8.79926	−	1.87034i	0.373172	−	0.0793201i
$557$	3.41331	+	1.97068i	0.144627	+	0.0835002i	0.570567	−	0.821251i	$-0.306723\pi$
$557$	3.41331	+	1.97068i	0.144627	+	0.0835002i	−0.425941	+	0.904751i	$0.640057\pi$
$558$	12.3410	+	4.00982i	0.522434	+	0.169749i
$559$	−8.05331	+	5.85107i	−0.340619	+	0.247474i
$560$	−0.279578	−	0.103432i	−0.0118143	−	0.00437081i
$561$	17.7167	−	7.88799i	0.748001	−	0.333031i
$562$	18.1097	+	24.9259i	0.763912	+	1.05144i
$563$	22.5861	+	31.0872i	0.951893	+	1.31017i	0.950682	+	0.310168i	$0.100385\pi$
$563$	22.5861	+	31.0872i	0.951893	+	1.31017i	0.00121094	+	0.999999i	$0.499615\pi$
$564$	−14.5801	+	6.49147i	−0.613932	+	0.273340i
$565$	−24.4779	+	20.3202i	−1.02979	+	0.854876i
$566$	−2.99995	−	28.5427i	−0.126097	−	1.19974i
$567$	0.309889	+	1.45791i	0.0130141	+	0.0612265i
$568$	1.32195	−	0.763230i	0.0554679	−	0.0320244i
$569$	−2.45401	+	7.55266i	−0.102877	+	0.316624i	−0.989226	−	0.146394i	$-0.953233\pi$
$569$	−2.45401	+	7.55266i	−0.102877	+	0.316624i	0.886349	+	0.463018i	$0.153233\pi$
$570$	−7.23789	−	20.0048i	−0.303162	−	0.837908i
$571$	0.454954	+	1.40020i	0.0190392	+	0.0585967i	0.960125	−	0.279572i	$-0.0901926\pi$
$571$	0.454954	+	1.40020i	0.0190392	+	0.0585967i	−0.941086	+	0.338169i	$0.890193\pi$
$572$	−2.07467	−	1.86804i	−0.0867464	−	0.0781068i
$573$	0.904408	+	0.0950571i	0.0377822	+	0.00397107i
$574$	0.573394	−	0.993147i	0.0239330	−	0.0414532i
$575$	−5.23781	−	8.58253i	−0.218432	−	0.357916i
$576$	−0.881990	+	1.52765i	−0.0367496	+	0.0636521i
$577$	−7.18738	+	9.89258i	−0.299215	+	0.411833i	−0.931980	−	0.362510i	$-0.881920\pi$
$577$	−7.18738	+	9.89258i	−0.299215	+	0.411833i	0.632765	+	0.774344i	$0.281920\pi$
$578$	24.2270	−	7.87184i	1.00771	−	0.327425i
$579$	13.6160	+	2.89417i	0.565861	+	0.120278i
$580$	−5.30758	+	14.3464i	−0.220385	+	0.595701i
$581$	−0.531138	+	1.63467i	−0.0220353	+	0.0678177i
$582$			18.8112i			0.779748i
$583$	−6.15471	+	5.54173i	−0.254902	+	0.229515i
$584$	−11.1503	−	4.96443i	−0.461402	−	0.205430i
$585$	−7.77569	+	2.18529i	−0.321485	+	0.0903508i
$586$	0.371503	−	3.53461i	0.0153466	−	0.146014i
$587$	12.6663	−	28.4489i	0.522793	−	1.17421i	−0.438512	−	0.898725i	$-0.644494\pi$
$587$	12.6663	−	28.4489i	0.522793	−	1.17421i	0.961305	−	0.275487i	$-0.0888390\pi$
$588$	−8.95772	−	12.3292i	−0.369410	−	0.508450i
$589$	−23.1402	−	22.1961i	−0.953476	−	0.914576i
$590$	9.81449	−	19.8560i	0.404056	−	0.817459i
$591$	28.3607	+	12.6270i	1.16660	+	0.519405i
$592$	0.746081	+	3.51004i	0.0306637	+	0.144262i
$593$	−10.1557	−	5.86341i	−0.417045	−	0.240781i	0.276767	−	0.960937i	$-0.410737\pi$
$593$	−10.1557	−	5.86341i	−0.417045	−	0.240781i	−0.693812	+	0.720156i	$0.744070\pi$
$594$	−3.59768	+	0.764711i	−0.147615	+	0.0313765i
$595$	0.525632	+	1.87030i	0.0215488	+	0.0766747i
$596$	−1.68039	−	5.17171i	−0.0688314	−	0.211841i
$597$	−14.5745	+	4.73553i	−0.596493	+	0.193812i
$598$	−1.67485	−	3.76177i	−0.0684896	−	0.153830i
$599$	−19.3810	+	33.5689i	−0.791888	+	1.37159i	0.132909	+	0.991128i	$0.457568\pi$
$599$	−19.3810	+	33.5689i	−0.791888	+	1.37159i	−0.924797	+	0.380461i	$0.875765\pi$
$600$	−6.62773	−	8.67022i	−0.270576	−	0.353960i
$601$	11.1830			0.456163			0.228081	−	0.973642i	$-0.426755\pi$
$601$	11.1830			0.456163			0.228081	+	0.973642i	$0.426755\pi$
$602$	0.263593	+	0.592040i	0.0107433	+	0.0241298i
$603$	9.71174	+	8.74449i	0.395492	+	0.356103i
$604$	10.1369	+	2.15466i	0.412464	+	0.0876720i
$605$	18.9923	−	7.55701i	0.772145	−	0.307236i
$606$	−16.5759	+	3.52332i	−0.673350	+	0.143125i
$607$		−	4.85024i		−	0.196865i	−0.995144	−	0.0984325i	$-0.968617\pi$
$607$		−	4.85024i		−	0.196865i	0.995144	−	0.0984325i	$-0.0313829\pi$
$608$	3.60546	−	2.44962i	0.146221	−	0.0993452i
$609$	1.61038	−	1.17001i	0.0652559	−	0.0474112i
$610$	10.2053	+	25.6480i	0.413202	+	1.03846i
$611$	1.56512	−	14.8911i	0.0633180	−	0.602430i
$612$	11.4332	−	1.20168i	0.462160	−	0.0485750i
$613$	−10.9184	+	24.5231i	−0.440990	+	0.990480i	0.547166	+	0.837024i	$0.315707\pi$
$613$	−10.9184	+	24.5231i	−0.440990	+	0.990480i	−0.988156	+	0.153455i	$0.950960\pi$
$614$	−2.05243	+	0.913799i	−0.0828292	+	0.0368779i
$615$	37.1729	−	19.5142i	1.49895	−	0.786888i
$616$	−0.147041	+	0.106831i	−0.00592445	+	0.00430436i
$617$	27.9266	−	25.1452i	1.12428	−	1.01231i	0.124484	−	0.992222i	$-0.460272\pi$
$617$	27.9266	−	25.1452i	1.12428	−	1.01231i	0.999798	−	0.0200867i	$-0.00639423\pi$
$618$	−16.3880	−	9.46164i	−0.659224	−	0.380603i
$619$	−1.07828	+	3.31861i	−0.0433399	+	0.133386i	−0.970385	−	0.241563i	$-0.922340\pi$
$619$	−1.07828	+	3.31861i	−0.0433399	+	0.133386i	0.927045	+	0.374949i	$0.122340\pi$
$620$	−14.7458	−	7.28861i	−0.592206	−	0.292718i
$621$	−5.30651	−	1.12793i	−0.212943	−	0.0452624i
$622$	15.9604	+	14.3708i	0.639954	+	0.576217i
$623$	0.701318	+	1.57519i	0.0280977	+	0.0631085i
$624$	−2.23472	−	3.87065i	−0.0894604	−	0.154950i
$625$	24.1717	−	6.38207i	0.966866	−	0.255283i
$626$	−29.9984			−1.19898
$627$	−12.5961	−	3.09554i	−0.503039	−	0.123624i
$628$	−15.7367	+	5.11316i	−0.627962	+	0.204037i
$629$	15.6487	−	17.3797i	0.623955	−	0.692972i
$630$	0.0339114	+	0.524742i	0.00135106	+	0.0209062i
$631$	−12.3523	−	13.7186i	−0.491738	−	0.546130i	0.445290	−	0.895387i	$-0.353101\pi$
$631$	−12.3523	−	13.7186i	−0.491738	−	0.546130i	−0.937027	+	0.349257i	$0.886434\pi$
$632$	11.7105	−	6.76109i	0.465820	−	0.268942i
$633$	−33.7521	+	30.3905i	−1.34152	+	1.20791i
$634$	6.91258	−	5.02228i	0.274534	−	0.199460i
$635$	7.05689	−	3.70457i	0.280044	−	0.147011i
$636$	−12.1127	+	5.39293i	−0.480301	+	0.213844i
$637$	14.2192	−	1.49450i	0.563387	−	0.0592144i
$638$	5.48200	+	7.54533i	0.217035	+	0.298722i
$639$	−2.17839	−	1.58270i	−0.0861759	−	0.0626105i
$640$	1.38594	−	1.75475i	0.0547842	−	0.0693628i
$641$	20.8293	+	9.27380i	0.822708	+	0.366293i	0.774523	−	0.632545i	$-0.217990\pi$
$641$	20.8293	+	9.27380i	0.822708	+	0.366293i	0.0481845	+	0.998838i	$0.484656\pi$
$642$	−14.1396	+	12.7314i	−0.558047	+	0.502468i
$643$	30.0277	−	17.3365i	1.18418	−	0.683684i	0.227198	−	0.973849i	$-0.427043\pi$
$643$	30.0277	−	17.3365i	1.18418	−	0.683684i	0.956977	+	0.290165i	$0.0937101\pi$
$644$	−0.262223	+	0.0557372i	−0.0103330	+	0.00219635i
$645$	−3.42594	+	23.4770i	−0.134896	+	0.924406i
$646$	−26.7272	−	9.62609i	−1.05157	−	0.378733i
$647$	−27.2824	+	8.86458i	−1.07258	+	0.348503i	−0.791492	−	0.611179i	$-0.790696\pi$
$647$	−27.2824	+	8.86458i	−1.07258	+	0.348503i	−0.281089	+	0.959682i	$0.590696\pi$
$648$	−11.1191	−	1.16866i	−0.436798	−	0.0459093i
$649$	−6.75227	−	11.6953i	−0.265050	−	0.459080i
$650$	10.1534	−	1.31782i	0.398248	−	0.0516893i
$651$	1.07023	+	1.85369i	0.0419456	+	0.0726519i
$652$	5.71176	+	12.8288i	0.223690	+	0.502415i
$653$	−23.9436	+	7.77975i	−0.936986	+	0.304445i	−0.737417	−	0.675438i	$-0.763954\pi$
$653$	−23.9436	+	7.77975i	−0.936986	+	0.304445i	−0.199570	+	0.979884i	$0.563954\pi$
$654$	9.71858	+	29.9107i	0.380026	+	1.16960i
$655$	3.93906	+	14.0159i	0.153912	+	0.547648i
$656$	5.75600	+	6.39269i	0.224734	+	0.249593i
$657$			21.5303i			0.839976i
$658$	−0.927094	−	0.301231i	−0.0361419	−	0.0117432i
$659$	−4.68311	−	44.5568i	−0.182428	−	1.73569i	−0.576932	−	0.816792i	$-0.695750\pi$
$659$	−4.68311	−	44.5568i	−0.182428	−	1.73569i	0.394504	−	0.918894i	$-0.370917\pi$
$660$	−6.64007	+	0.429113i	−0.258464	+	0.0167032i
$661$	44.3140	−	19.7299i	1.72362	−	0.767403i	0.726871	−	0.686774i	$-0.240974\pi$
$661$	44.3140	−	19.7299i	1.72362	−	0.767403i	0.996744	−	0.0806293i	$-0.0256930\pi$
$662$	8.27475	−	18.5854i	0.321607	−	0.722342i
$663$	−11.8475	+	26.6099i	−0.460119	+	1.03344i
$664$	−10.4306	−	7.57828i	−0.404786	−	0.294094i
$665$	0.489056	−	1.20383i	0.0189648	−	0.0466824i
$666$	5.12104	−	3.72065i	0.198436	−	0.144172i
$667$	2.86013	+	13.4558i	0.110745	+	0.521012i
$668$	−11.2223	+	6.47920i	−0.434204	+	0.250688i
$669$	22.4427	+	24.9252i	0.867685	+	0.963662i
$670$	−10.5812	−	12.7462i	−0.408788	−	0.492430i
$671$	16.4625	+	3.49921i	0.635528	+	0.135086i
$672$	−0.276735	+	0.0899166i	−0.0106753	+	0.00346861i
$673$	−12.2788	+	16.9003i	−0.473313	+	0.651460i	−0.977203	−	0.212308i	$-0.931902\pi$
$673$	−12.2788	+	16.9003i	−0.473313	+	0.651460i	0.503889	+	0.863768i	$0.331902\pi$
$674$	7.51229	−	13.0117i	0.289363	−	0.501191i
$675$	6.45809	−	11.8426i	0.248572	−	0.455822i
$676$	−8.80689			−0.338726
$677$	−6.03467	+	8.30601i	−0.231931	+	0.319226i	−0.909081	−	0.416619i	$-0.863215\pi$
$677$	−6.03467	+	8.30601i	−0.231931	+	0.319226i	0.677150	+	0.735845i	$0.263215\pi$
$678$	−6.45632	+	30.3746i	−0.247954	+	1.16653i
$679$	−0.768802	+	0.853841i	−0.0295039	+	0.0327674i
$680$	−14.5611	−	0.585450i	−0.558394	−	0.0224510i
$681$	−32.4786	+	6.90354i	−1.24458	+	0.264544i
$682$	−8.68535	+	5.01449i	−0.332579	+	0.192015i
$683$	−11.2671	−	3.66091i	−0.431124	−	0.140081i	0.0854129	−	0.996346i	$-0.472779\pi$
$683$	−11.2671	−	3.66091i	−0.431124	−	0.140081i	−0.516537	+	0.856265i	$0.672779\pi$
$684$	−6.53433	−	4.05257i	−0.249846	−	0.154954i
$685$	−4.59510	−	26.8893i	−0.175570	−	1.02739i
$686$	0.194842	−	1.85380i	0.00743912	−	0.0707785i
$687$	16.8578	−	37.8633i	0.643167	−	1.44458i
$688$	−4.83462	+	0.508139i	−0.184318	+	0.0193726i
$689$	1.30026	−	12.3711i	0.0495359	−	0.471302i
$690$	−9.20467	−	3.40535i	−0.350416	−	0.129640i
$691$	38.7446	−	28.1496i	1.47392	−	1.07086i	0.494461	−	0.869200i	$-0.335366\pi$
$691$	38.7446	−	28.1496i	1.47392	−	1.07086i	0.979455	−	0.201662i	$-0.0646344\pi$
$692$	6.40075	+	2.07973i	0.243320	+	0.0790595i
$693$	0.277654	+	0.160304i	0.0105472	+	0.00608944i
$694$	−9.57814	−	10.6376i	−0.363581	−	0.403798i
$695$	9.34969	+	17.8104i	0.354654	+	0.675586i
$696$	4.61403	+	14.2005i	0.174894	+	0.538269i
$697$	11.6560	−	54.8372i	0.441503	−	2.07711i
$698$	−30.4582	−	3.20129i	−1.15286	−	0.121171i
$699$	4.20485	−	7.28301i	0.159042	−	0.275469i
$700$	0.0535138	−	0.664414i	0.00202263	−	0.0251125i
$701$	24.1833	+	41.8867i	0.913391	+	1.58204i	0.809240	+	0.587478i	$0.199879\pi$
$701$	24.1833	+	41.8867i	0.913391	+	1.58204i	0.104150	+	0.994562i	$0.466788\pi$
$702$	3.24711	−	4.46927i	0.122554	−	0.168682i
$703$	−15.3948	+	2.76801i	−0.580627	+	0.104397i
$704$	−0.421299	−	1.29662i	−0.0158783	−	0.0488684i
$705$	−22.7948	−	27.4588i	−0.858502	−	1.03416i
$706$	30.8662	−	6.56080i	1.16166	−	0.246919i
$707$	−0.896378	−	0.517524i	−0.0337118	−	0.0194635i
$708$	−4.49506	−	21.1476i	−0.168935	−	0.794776i
$709$	1.95040	+	18.5568i	0.0732487	+	0.696915i	0.968102	+	0.250555i	$0.0806132\pi$
$709$	1.95040	+	18.5568i	0.0732487	+	0.696915i	−0.894854	+	0.446360i	$0.852720\pi$
$710$	2.44275	+	2.38398i	0.0916748	+	0.0894692i
$711$	−19.2973	−	14.0203i	−0.723707	−	0.525804i
$712$	−12.8630	+	1.35196i	−0.482063	+	0.0506668i
$713$	−14.7115	+	1.54624i	−0.550950	+	0.0579072i
$714$	1.53418	+	1.11465i	0.0574152	+	0.0417146i
$715$	2.76612	−	5.59623i	0.103447	−	0.209287i
$716$	1.00576	+	9.56919i	0.0375871	+	0.357617i
$717$	4.93910	+	23.2366i	0.184454	+	0.867788i
$718$	5.36395	+	3.09688i	0.200181	+	0.115574i
$719$	−5.09988	+	1.08401i	−0.190193	+	0.0404269i	−0.302023	−	0.953300i	$-0.597662\pi$
$719$	−5.09988	+	1.08401i	−0.190193	+	0.0404269i	0.111830	+	0.993727i	$0.464329\pi$
$720$	−3.82212	−	0.974418i	−0.142442	−	0.0363144i
$721$	−0.357163	−	1.09924i	−0.0133015	−	0.0409377i
$722$	10.1768	+	16.0447i	0.378740	+	0.597123i
$723$	6.12794	−	8.43438i	0.227901	−	0.313678i
$724$	−0.502641	−	0.870599i	−0.0186805	−	0.0323556i
$725$	−34.0941	−	2.74604i	−1.26622	−	0.101985i
$726$	9.97612	−	17.2791i	0.370249	−	0.641289i
$727$	18.3541	+	1.92910i	0.680717	+	0.0715462i	0.438575	−	0.898695i	$-0.355483\pi$
$727$	18.3541	+	1.92910i	0.680717	+	0.0715462i	0.242142	+	0.970241i	$0.422150\pi$
$728$	0.0567571	−	0.267021i	0.00210356	−	0.00989646i
$729$	0.635558	+	1.95605i	0.0235392	+	0.0724461i
$730$	3.94096	−	27.0063i	0.145861	−	0.999549i
$731$	21.1992	+	23.5441i	0.784082	+	0.870811i
$732$	23.3346	+	13.4722i	0.862470	+	0.497947i
$733$	5.27556	+	1.71413i	0.194857	+	0.0633130i	0.404820	−	0.914396i	$-0.367334\pi$
$733$	5.27556	+	1.71413i	0.194857	+	0.0633130i	−0.209963	+	0.977709i	$0.567334\pi$
$734$	24.7004	−	17.9459i	0.911709	−	0.662395i
$735$	21.1215	−	26.7421i	0.779077	−	0.986397i
$736$	0.210198	−	1.99990i	0.00774800	−	0.0737173i
$737$	−10.0450	+	1.05578i	−0.370014	+	0.0388900i
$738$	6.17187	−	13.8623i	0.227190	−	0.510276i
$739$	−4.64768	+	44.2197i	−0.170968	+	1.62665i	0.486859	+	0.873480i	$0.338142\pi$
$739$	−4.64768	+	44.2197i	−0.170968	+	1.62665i	−0.657827	+	0.753169i	$0.728524\pi$
$740$	−7.10457	+	3.72960i	−0.261169	+	0.137103i
$741$	17.1705	−	9.20404i	0.630776	−	0.338119i
$742$	−0.770204	−	0.250254i	−0.0282751	−	0.00918713i
$743$	−9.04927	+	5.22460i	−0.331985	+	0.191672i	−0.656722	−	0.754133i	$-0.728058\pi$
$743$	−9.04927	+	5.22460i	−0.331985	+	0.191672i	0.324737	+	0.945804i	$0.394724\pi$
$744$	−15.7050	+	3.33820i	−0.575774	+	0.122384i
$745$	10.1164	−	6.74616i	0.370635	−	0.247160i
$746$	−15.4410	+	17.1490i	−0.565336	+	0.627870i
$747$	−4.72851	+	22.2459i	−0.173007	+	0.813935i
$748$	−5.22260	+	7.18830i	−0.190957	+	0.262830i
$749$	−1.16212			−0.0424631
$750$	14.6544	−	19.5127i	0.535103	−	0.712503i
$751$	23.1613	−	40.1165i	0.845167	−	1.46387i	−0.0403098	−	0.999187i	$-0.512834\pi$
$751$	23.1613	−	40.1165i	0.845167	−	1.46387i	0.885476	−	0.464684i	$-0.153832\pi$
$752$	4.29797	−	5.91565i	0.156731	−	0.215722i
$753$	12.1706	−	3.95448i	0.443522	−	0.144109i
$754$	−13.7020	−	2.91246i	−0.498999	−	0.106066i
$755$	1.49444	+	23.1249i	0.0543883	+	0.841602i
$756$	−0.240655	−	0.267274i	−0.00875253	−	0.00972067i
$757$	−2.60225	+	1.50241i	−0.0945804	+	0.0546060i	−0.546544	−	0.837430i	$-0.684057\pi$
$757$	−2.60225	+	1.50241i	−0.0945804	+	0.0546060i	0.451964	+	0.892036i	$0.350724\pi$
$758$	−4.18170	−	19.6734i	−0.151886	−	0.714568i
$759$	−4.84110	+	3.51726i	−0.175721	+	0.127669i
$760$	7.45449	+	6.27937i	0.270403	+	0.227777i
$761$	13.9844	+	10.1602i	0.506933	+	0.368308i	0.811659	−	0.584132i	$-0.198565\pi$
$761$	13.9844	+	10.1602i	0.506933	+	0.368308i	−0.304726	+	0.952440i	$0.598565\pi$
$762$	3.16432	−	7.10719i	0.114631	−	0.257466i
$763$	−0.781306	+	1.75484i	−0.0282852	+	0.0635296i
$764$	−0.380623	+	0.169464i	−0.0137705	+	0.00613101i
$765$	9.50380	+	23.8849i	0.343611	+	0.863562i
$766$	1.41252	+	13.4392i	0.0510363	+	0.485578i
$767$	19.2906	+	6.26791i	0.696545	+	0.226321i
$768$		−	2.18265i		−	0.0787597i
$769$	24.7648	+	27.5041i	0.893042	+	0.991823i	0.999997	−	0.00244043i	$-0.000776813\pi$
$769$	24.7648	+	27.5041i	0.893042	+	0.991823i	−0.106955	+	0.994264i	$0.534110\pi$
$770$	−0.318931	−	0.251898i	−0.0114935	−	0.00907779i
$771$	7.52274	+	23.1526i	0.270925	+	0.833821i
$772$	−6.06550	+	1.97080i	−0.218302	+	0.0709306i
$773$	−8.54950	−	19.2025i	−0.307504	−	0.690666i	0.692008	−	0.721890i	$-0.256726\pi$
$773$	−8.54950	−	19.2025i	−0.307504	−	0.690666i	−0.999512	+	0.0312239i	$0.990060\pi$
$774$	4.28758	+	7.42630i	0.154114	+	0.266933i
$775$	6.76889	−	36.1524i	0.243146	−	1.29863i
$776$	−4.30924	−	7.46382i	−0.154693	−	0.267936i
$777$	1.03843	+	0.109144i	0.0372536	+	0.00391551i
$778$	0.314482	−	0.102181i	0.0112747	−	0.00366337i
$779$	−28.6424	+	24.1987i	−1.02622	+	0.867007i
$780$	6.98024	−	7.15232i	0.249933	−	0.256094i
$781$	2.03562	−	0.432685i	0.0728403	−	0.0154827i
$782$	−11.3497	+	6.55276i	−0.405865	+	0.234326i
$783$	−13.7150	+	12.3491i	−0.490136	+	0.441320i
$784$	6.37858	+	2.83993i	0.227807	+	0.101426i
$785$	−20.5275	−	30.7825i	−0.732657	−	1.09867i
$786$	11.4971	+	8.35311i	0.410087	+	0.297946i
$787$	3.29216	+	4.53127i	0.117353	+	0.161522i	0.863652	−	0.504088i	$-0.168171\pi$
$787$	3.29216	+	4.53127i	0.117353	+	0.161522i	−0.746300	+	0.665610i	$0.768171\pi$
$788$	−14.1454	+	1.48674i	−0.503910	+	0.0529630i
$789$	−48.4375	+	21.5658i	−1.72442	+	0.767762i
$790$	21.6392	+	21.1185i	0.769886	+	0.751364i
$791$	−1.53445	+	1.11484i	−0.0545587	+	0.0396392i
$792$	−1.78721	+	1.60921i	−0.0635056	+	0.0571807i
$793$	−21.8919	+	12.6393i	−0.777403	+	0.448834i
$794$	23.9761	+	26.6281i	0.850879	+	0.944997i
$795$	−18.9373	−	22.8120i	−0.671636	−	0.809059i
$796$	4.69799	−	5.21765i	0.166516	−	0.184935i
$797$	17.7005	−	5.75125i	0.626985	−	0.203720i	0.0217460	−	0.999764i	$-0.493077\pi$
$797$	17.7005	−	5.75125i	0.626985	−	0.203720i	0.605239	+	0.796044i	$0.293077\pi$
$798$	−0.353705	−	1.21802i	−0.0125210	−	0.0431174i
$799$	−47.6547			−1.68590
$800$	4.61589	+	1.92187i	0.163196	+	0.0679482i
$801$	11.4076	+	19.7585i	0.403066	+	0.698131i
$802$	1.52277	+	3.42020i	0.0537709	+	0.120771i
$803$	−12.3662	−	11.1346i	−0.436395	−	0.392932i
$804$	−15.8168	−	3.36197i	−0.557816	−	0.118568i
$805$	−0.278626	−	0.530759i	−0.00982029	−	0.0187068i
$806$	4.65478	−	14.3260i	0.163958	−	0.504610i
$807$	−18.8493	−	10.8826i	−0.663526	−	0.383087i
$808$	5.76981	−	5.19516i	0.202981	−	0.182765i
$809$	−2.24239	+	1.62919i	−0.0788382	+	0.0572793i	−0.626506	−	0.779416i	$-0.715516\pi$
$809$	−2.24239	+	1.62919i	−0.0788382	+	0.0572793i	0.547668	+	0.836696i	$0.315516\pi$
$810$	−4.21119	−	24.6427i	−0.147966	−	0.865857i
$811$	−29.4022	+	13.0907i	−1.03245	+	0.459677i	−0.851799	−	0.523869i	$-0.824488\pi$
$811$	−29.4022	+	13.0907i	−1.03245	+	0.459677i	−0.180654	+	0.983547i	$0.557821\pi$
$812$	−0.370936	+	0.833136i	−0.0130173	+	0.0292373i
$813$	−26.9818	+	2.83590i	−0.946291	+	0.0994592i
$814$	−0.511387	+	4.86552i	−0.0179241	+	0.170536i
$815$	−24.1606	+	20.0568i	−0.846310	+	0.702560i
$816$	−11.5081	+	8.36112i	−0.402864	+	0.292698i
$817$	−1.54929	−	21.1330i	−0.0542029	−	0.739350i
$818$		−	11.1938i		−	0.391383i
$819$	−0.471019	+	0.100118i	−0.0164588	+	0.00349842i
$820$	−10.2790	+	16.2583i	−0.358959	+	0.567764i
$821$	−41.4995	−	8.82098i	−1.44834	−	0.307854i	−0.584408	−	0.811460i	$-0.698673\pi$
$821$	−41.4995	−	8.82098i	−1.44834	−	0.307854i	−0.863934	+	0.503606i	$0.832006\pi$
$822$	−19.7881	−	17.8172i	−0.690188	−	0.621448i
$823$	−12.8351	−	28.8281i	−0.447403	−	1.00488i	−0.986668	−	0.162748i	$-0.947964\pi$
$823$	−12.8351	−	28.8281i	−0.447403	−	1.00488i	0.539264	−	0.842137i	$-0.318702\pi$
$824$	8.66985			0.302029
$825$	−4.94092	−	14.0343i	−0.172021	−	0.488610i
$826$	0.660260	−	1.14360i	0.0229734	−	0.0397911i
$827$	1.56233	+	3.50906i	0.0543277	+	0.122022i	0.938670	−	0.344818i	$-0.112059\pi$
$827$	1.56233	+	3.50906i	0.0543277	+	0.122022i	−0.884342	+	0.466840i	$0.845393\pi$
$828$	−3.37360	+	1.09615i	−0.117241	+	0.0380938i
$829$	4.65632	+	14.3307i	0.161721	+	0.497725i	0.998780	−	0.0493874i	$-0.0157269\pi$
$829$	4.65632	+	14.3307i	0.161721	+	0.497725i	−0.837059	+	0.547113i	$0.815727\pi$
$830$	10.0031	−	27.0384i	0.347213	−	0.938518i
$831$	−11.7558	+	2.49878i	−0.407805	+	0.0866816i
$832$	1.77337	+	1.02385i	0.0614805	+	0.0354958i
$833$	−9.46092	−	44.5101i	−0.327802	−	1.54219i
$834$	17.9373	+	7.98620i	0.621118	+	0.276539i
$835$	−20.7369	−	20.2380i	−0.717632	−	0.700366i
$836$	5.70695	−	1.65726i	0.197379	−	0.0573175i
$837$	−11.6648	−	16.0553i	−0.403195	−	0.554951i
$838$	−8.97970	+	20.1687i	−0.310199	+	0.696717i
$839$	2.38489	−	22.6908i	0.0823357	−	0.783372i	−0.872974	−	0.487766i	$-0.837812\pi$
$839$	2.38489	−	22.6908i	0.0823357	−	0.783372i	0.955310	−	0.295606i	$-0.0955215\pi$
$840$	−0.360983	−	0.541320i	−0.0124551	−	0.0186773i
$841$	16.2591	+	7.23903i	0.560659	+	0.249622i
$842$	9.98597	−	8.99141i	0.344139	−	0.309864i
$843$			67.2478i			2.31614i
$844$	6.43020	−	19.7901i	0.221337	−	0.681204i
$845$	−5.32808	−	18.9583i	−0.183292	−	0.652186i
$846$	−12.6166	−	2.68174i	−0.433768	−	0.0922002i
$847$	1.15901	−	0.376584i	0.0398239	−	0.0129396i
$848$	3.57063	−	4.91456i	0.122616	−	0.168767i
$849$	31.3209	−	54.2495i	1.07493	−	1.86184i
$850$	−7.54906	−	31.6995i	−0.258931	−	1.08728i
$851$	−3.60804	+	6.24930i	−0.123682	+	0.214223i
$852$	3.31348	+	0.348261i	0.113518	+	0.0119312i
$853$	−10.8158	−	9.73863i	−0.370327	−	0.333444i	0.462864	−	0.886429i	$-0.346822\pi$
$853$	−10.8158	−	9.73863i	−0.370327	−	0.333444i	−0.833191	+	0.552985i	$0.813489\pi$
$854$	0.508556	+	1.56518i	0.0174024	+	0.0535592i
$855$	4.77064	−	16.5180i	0.163153	−	0.564904i
$856$	2.69378	−	8.29061i	0.0920716	−	0.283367i
$857$	−29.9879	+	17.3135i	−1.02437	+	0.591419i	−0.915366	−	0.402622i	$-0.868099\pi$
$857$	−29.9879	+	17.3135i	−1.02437	+	0.591419i	−0.109002	+	0.994042i	$0.534765\pi$
$858$	−1.26689	−	5.96026i	−0.0432510	−	0.203480i
$859$	3.36287	+	31.9956i	0.114740	+	1.09168i	0.888715	+	0.458460i	$0.151599\pi$
$859$	3.36287	+	31.9956i	0.114740	+	1.09168i	−0.773975	+	0.633216i	$0.781735\pi$
$860$	−4.01876	−	10.0999i	−0.137038	−	0.344405i
$861$	2.28664	−	1.01808i	0.0779285	−	0.0346960i
$862$	5.39814	+	7.42990i	0.183861	+	0.253063i
$863$	−15.5724	−	21.4336i	−0.530092	−	0.729609i	0.457052	−	0.889440i	$-0.348905\pi$
$863$	−15.5724	−	21.4336i	−0.530092	−	0.729609i	−0.987144	+	0.159831i	$0.948905\pi$
$864$	2.46457	−	1.09730i	0.0838463	−	0.0373308i
$865$	−0.604580	+	15.0369i	−0.0205563	+	0.511270i
$866$	−14.6274	+	10.6274i	−0.497058	+	0.361134i
$867$	52.8792	+	17.1815i	1.79587	+	0.583515i
$868$	−0.849283	−	0.490334i	−0.0288265	−	0.0166430i
$869$	18.0326	−	3.83295i	0.611714	−	0.130024i
$870$	−27.7776	+	18.5236i	−0.941748	+	0.628011i
$871$	10.1510	−	11.2738i	0.343954	−	0.381999i
$872$	−10.7080	−	9.64154i	−0.362619	−	0.326504i
$873$	−8.93599	+	12.2993i	−0.302438	+	0.416270i
$874$	8.68413	+	1.19067i	0.293745	+	0.0402750i
$875$	1.46264	−	0.286766i	0.0494462	−	0.00969447i
$876$	−13.3202	−	23.0713i	−0.450048	−	0.779506i
$877$	31.3857	+	3.29877i	1.05982	+	0.111392i	0.618365	−	0.785891i	$-0.287796\pi$
$877$	31.3857	+	3.29877i	1.05982	+	0.111392i	0.441456	+	0.897283i	$0.354462\pi$
$878$	−1.71518	+	8.06929i	−0.0578845	+	0.272325i
$879$	5.19067	−	5.76482i	0.175077	−	0.194443i
$880$	2.53632	−	1.69136i	0.0854994	−	0.0570158i
$881$	1.23365	−	3.79679i	0.0415627	−	0.127917i	−0.928122	−	0.372276i	$-0.878578\pi$
$881$	1.23365	−	3.79679i	0.0415627	−	0.127917i	0.969685	+	0.244359i	$0.0785775\pi$
$882$		−	12.3165i		−	0.414718i
$883$	−34.9163	+	31.4387i	−1.17503	+	1.05800i	−0.177762	+	0.984074i	$0.556886\pi$
$883$	−34.9163	+	31.4387i	−1.17503	+	1.05800i	−0.997264	+	0.0739243i	$0.976448\pi$
$884$	−1.39497	−	13.2722i	−0.0469178	−	0.446393i
$885$	42.8044	−	22.4705i	1.43885	−	0.755337i
$886$	−3.21379	−	2.33495i	−0.107969	−	0.0784443i
$887$	14.8087	−	1.55646i	0.497229	−	0.0522608i	0.147405	−	0.989076i	$-0.452908\pi$
$887$	14.8087	−	1.55646i	0.497229	−	0.0522608i	0.349824	+	0.936815i	$0.386241\pi$
$888$	−3.18570	+	7.15521i	−0.106905	+	0.240113i
$889$	0.434096	−	0.193272i	0.0145591	−	0.00648213i
$890$	−10.6923	−	26.8719i	−0.358408	−	0.900750i
$891$	−13.9249	−	6.19976i	−0.466501	−	0.207700i
$892$	−14.6146	−	4.74856i	−0.489332	−	0.158994i
$893$	25.1821	+	19.5382i	0.842688	+	0.653822i
$894$	3.66771	−	11.2880i	0.122667	−	0.377529i
$895$	−19.9908	+	7.95434i	−0.668219	+	0.265884i
$896$	0.0892039	−	0.0990709i	0.00298009	−	0.00330973i
$897$	1.86864	−	8.79126i	0.0623921	−	0.293532i
$898$	−8.65326	−	0.909494i	−0.288763	−	0.0303502i
$899$	−25.1612	+	43.5805i	−0.839174	+	1.45349i
$900$	−0.214746	−	8.81728i	−0.00715819	−	0.293909i
$901$	−39.5902			−1.31894
$902$	4.77014	+	10.7139i	0.158828	+	0.356734i
$903$	−0.294093	+	1.38360i	−0.00978681	+	0.0460433i
$904$	−4.39647	−	13.5309i	−0.146224	−	0.450032i
$905$	1.57002	−	1.60872i	0.0521892	−	0.0534758i
$906$	15.1355	+	16.8097i	0.502843	+	0.558463i
$907$	−43.9000	+	25.3457i	−1.45768	+	0.841589i	−0.998897	−	0.0469616i	$-0.985046\pi$
$907$	−43.9000	+	25.3457i	−1.45768	+	0.841589i	−0.458778	+	0.888551i	$0.651713\pi$
$908$	11.3053	−	10.1793i	0.375179	−	0.337813i
$909$	−12.5116	−	5.57050i	−0.414982	−	0.184762i
$910$	0.609145	−	0.0393659i	0.0201930	−	0.00130497i
$911$	30.0072	+	21.8015i	0.994182	+	0.722315i	0.960833	−	0.277128i	$-0.0893827\pi$
$911$	30.0072	+	21.8015i	0.994182	+	0.722315i	0.0333491	+	0.999444i	$0.489383\pi$
$912$	9.50924	+	0.300013i	0.314882	+	0.00993441i
$913$	−10.3319	−	14.2206i	−0.341935	−	0.470633i
$914$	4.14315	−	39.4194i	0.137043	−	1.30388i
$915$	−14.8840	+	58.3821i	−0.492051	+	1.93005i
$916$	1.98490	+	18.8850i	0.0655829	+	0.623979i
$917$	0.180466	+	0.849028i	0.00595953	+	0.0280374i
$918$	−15.2266	−	8.79106i	−0.502552	−	0.290148i
$919$	2.44098	−	7.51256i	0.0805205	−	0.247817i	−0.902690	−	0.430291i	$-0.858411\pi$
$919$	2.44098	−	7.51256i	0.0805205	−	0.247817i	0.983211	+	0.182475i	$0.0584108\pi$
$920$	4.43229	−	0.757433i	0.146128	−	0.0249718i
$921$	−4.79653	−	1.01953i	−0.158051	−	0.0335948i
$922$	2.03351	−	9.56692i	0.0669701	−	0.315070i
$923$	−1.83727	+	2.52878i	−0.0604744	+	0.0832358i
$924$	−0.396703			−0.0130506
$925$	−12.3268	−	13.0374i	−0.405303	−	0.428668i
$926$	15.4877	+	26.8255i	0.508958	+	0.881542i
$927$	−6.22040	−	13.9712i	−0.204305	−	0.458876i
$928$	−5.08377	−	4.57745i	−0.166883	−	0.150262i
$929$	−19.3627	+	21.5045i	−0.635271	+	0.705540i	−0.971713	−	0.236164i	$-0.924110\pi$
$929$	−19.3627	+	21.5045i	−0.635271	+	0.705540i	0.336442	+	0.941704i	$0.390776\pi$
$930$	−16.6874	−	31.7881i	−0.547202	−	1.04237i
$931$	−13.2496	+	27.3994i	−0.434237	+	0.897979i
$932$			3.85297i			0.126208i
$933$	9.74618	+	45.8522i	0.319076	+	1.50113i
$934$	−18.5360	−	8.25276i	−0.606517	−	0.270039i
$935$	−18.6337	−	6.89369i	−0.609386	−	0.225448i
$936$	0.377569	−	3.59233i	0.0123412	−	0.117419i
$937$	17.6206	−	1.85200i	0.575639	−	0.0605020i	0.187764	−	0.982214i	$-0.439876\pi$
$937$	17.6206	−	1.85200i	0.575639	−	0.0605020i	0.387875	+	0.921712i	$0.373209\pi$
$938$	−0.580526	−	0.799025i	−0.0189548	−	0.0260891i
$939$	−52.9714	−	38.4860i	−1.72866	−	1.25594i
$940$	15.3347	+	5.67320i	0.500162	+	0.185039i
$941$	3.40724	+	32.4177i	0.111073	+	1.05679i	0.898076	+	0.439840i	$0.144965\pi$
$941$	3.40724	+	32.4177i	0.111073	+	1.05679i	−0.787003	+	0.616949i	$0.788369\pi$
$942$	−34.3477	−	11.1603i	−1.11911	−	0.363621i
$943$			17.2983i			0.563311i
$944$	6.62801	+	7.36115i	0.215723	+	0.239585i
$945$	0.429759	−	0.679748i	0.0139801	−	0.0221122i
$946$	−6.48277	−	1.37795i	−0.210773	−	0.0448012i
$947$	−10.5391	−	9.48946i	−0.342475	−	0.308366i	0.479887	−	0.877330i	$-0.340678\pi$
$947$	−10.5391	−	9.48946i	−0.342475	−	0.308366i	−0.822362	+	0.568964i	$0.807344\pi$
$948$	29.3525	+	3.08508i	0.953326	+	0.100199i
$949$	24.9933			0.811318
$950$	−9.00752	+	19.8460i	−0.292243	+	0.643890i
$951$	18.6495			0.604752
$952$	−0.864068	−	0.0908172i	−0.0280046	−	0.00294340i
$953$	−19.5156	−	17.5719i	−0.632171	−	0.569209i	0.289502	−	0.957177i	$-0.406510\pi$
$953$	−19.5156	−	17.5719i	−0.632171	−	0.569209i	−0.921673	+	0.387968i	$0.873177\pi$
$954$	−10.4815	−	2.22792i	−0.339352	−	0.0721315i
$955$	−0.595074	−	0.716832i	−0.0192561	−	0.0231961i
$956$	−7.28274	−	8.08830i	−0.235541	−	0.261594i
$957$			20.3566i			0.658036i
$958$	2.12828	+	0.691520i	0.0687616	+	0.0223420i
$959$	−0.170001	−	1.61745i	−0.00548963	−	0.0522303i
$960$	4.69853	−	1.32048i	0.151645	−	0.0426185i
$961$	−18.6984	−	13.5852i	−0.603175	−	0.438233i
$962$	−4.31911	−	5.94474i	−0.139254	−	0.191666i
$963$	−15.2928	+	1.60734i	−0.492804	+	0.0517958i
$964$	−0.499281	+	4.75035i	−0.0160808	+	0.152998i
$965$	−7.91205	−	11.8647i	−0.254698	−	0.381938i
$966$	−0.534542	−	0.237993i	−0.0171986	−	0.00765731i
$967$	3.08079	+	14.4940i	0.0990716	+	0.466095i	0.999516	+	0.0311233i	$0.00990844\pi$
$967$	3.08079	+	14.4940i	0.0990716	+	0.466095i	−0.900444	+	0.434972i	$0.856758\pi$
$968$			9.14127i			0.293812i
$969$	−34.8453	−	51.2869i	−1.11939	−	1.64757i
$970$	13.4601	−	13.7919i	0.432178	−	0.442832i
$971$	4.89210	−	5.43322i	0.156995	−	0.174360i	−0.659516	−	0.751691i	$-0.729239\pi$
$971$	4.89210	−	5.43322i	0.156995	−	0.174360i	0.816511	+	0.577330i	$0.195905\pi$
$972$	−12.1202	−	10.9131i	−0.388756	−	0.350037i
$973$	0.487784	+	1.09558i	0.0156377	+	0.0351227i
$974$	1.54571	+	2.67725i	0.0495277	+	0.0857845i
$975$	19.6196	+	10.6991i	0.628329	+	0.342645i
$976$	−12.3448			−0.395147
$977$	−17.2830	+	23.7880i	−0.552933	+	0.761047i	−0.990407	−	0.138184i	$-0.955873\pi$
$977$	−17.2830	+	23.7880i	−0.552933	+	0.761047i	0.437474	+	0.899231i	$0.355873\pi$
$978$	−6.37265	+	29.9810i	−0.203775	+	0.958686i
$979$	−17.2481	−	3.66620i	−0.551252	−	0.117172i
$980$	−2.25445	+	15.4491i	−0.0720157	+	0.493504i
$981$	−7.85437	+	24.1733i	−0.250771	+	0.771793i
$982$	9.60952	+	5.54806i	0.306652	+	0.177046i
$983$	7.90914	+	37.2096i	0.252263	+	1.18680i	0.903722	+	0.428119i	$0.140824\pi$
$983$	7.90914	+	37.2096i	0.252263	+	1.18680i	−0.651460	+	0.758683i	$0.725843\pi$
$984$	1.96259	+	18.6728i	0.0625651	+	0.595267i
$985$	−11.7583	−	29.5510i	−0.374651	−	0.941572i
$986$	−4.66024	+	44.3392i	−0.148412	+	1.41205i
$987$	−1.25061	−	1.72131i	−0.0398073	−	0.0547900i
$988$	−4.70441	+	7.58536i	−0.149667	+	0.241322i
$989$	−7.90860	−	5.74594i	−0.251479	−	0.182710i
$990$	−4.54533	−	2.87371i	−0.144460	−	0.0913325i
$991$	−16.0826	−	7.16043i	−0.510880	−	0.227458i	0.135073	−	0.990836i	$-0.456873\pi$
$991$	−16.0826	−	7.16043i	−0.510880	−	0.227458i	−0.645953	+	0.763377i	$0.723540\pi$
$992$	5.46666	−	4.92221i	0.173567	−	0.156280i
$993$	38.4554	−	22.2022i	1.22034	−	0.704566i
$994$	0.136166	+	0.151228i	0.00431893	+	0.00479665i
$995$	14.0741	+	6.95660i	0.446179	+	0.220539i
$996$	−8.69600	−	26.7635i	−0.275543	−	0.848035i
$997$	5.92367	−	27.8687i	0.187605	−	0.882610i	−0.779137	−	0.626854i	$-0.784342\pi$
$997$	5.92367	−	27.8687i	0.187605	−	0.882610i	0.966741	−	0.255756i	$-0.0823245\pi$
$998$	12.0080	+	26.9705i	0.380108	+	0.853736i
$999$	−9.68095			−0.306292

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.x.a.159.4	✓	400
19.11	even	3	inner	950.2.x.a.809.29	yes	400
25.14	even	10	inner	950.2.x.a.539.29	yes	400
475.239	even	30	inner	950.2.x.a.239.4	yes	400

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.x.a.159.4	✓	400	1.1	even	1	trivial
950.2.x.a.239.4	yes	400	475.239	even	30	inner
950.2.x.a.539.29	yes	400	25.14	even	10	inner
950.2.x.a.809.29	yes	400	19.11	even	3	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.x (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.994522 - 0.104528i) q^{2} +(-1.62203 - 1.46048i) q^{3} +(0.978148 + 0.207912i) q^{4} +(0.144205 + 2.23141i) q^{5} +(1.46048 + 1.62203i) q^{6} +0.133313i q^{7} +(-0.951057 - 0.309017i) q^{8} +(0.184386 + 1.75432i) q^{9} +O(q^{10})\)	\(q+(-0.994522 - 0.104528i) q^{2} +(-1.62203 - 1.46048i) q^{3} +(0.978148 + 0.207912i) q^{4} +(0.144205 + 2.23141i) q^{5} +(1.46048 + 1.62203i) q^{6} +0.133313i q^{7} +(-0.951057 - 0.309017i) q^{8} +(0.184386 + 1.75432i) q^{9} +(0.0898316 - 2.23426i) q^{10} +(-1.10297 - 0.801358i) q^{11} +(-1.28293 - 1.76580i) q^{12} +(2.03649 - 0.214044i) q^{13} +(0.0139350 - 0.132583i) q^{14} +(3.02503 - 3.83002i) q^{15} +(0.913545 + 0.406737i) q^{16} +(-1.35500 - 6.37478i) q^{17} -1.76398i q^{18} +(-1.89761 + 3.92416i) q^{19} +(-0.322884 + 2.21263i) q^{20} +(0.194701 - 0.216238i) q^{21} +(1.01317 + 0.912260i) q^{22} +(0.817913 + 1.83706i) q^{23} +(1.09133 + 1.89023i) q^{24} +(-4.95841 + 0.643560i) q^{25} -2.04771 q^{26} +(-1.58573 + 2.18257i) q^{27} +(-0.0277173 + 0.130400i) q^{28} +(6.69140 + 1.42230i) q^{29} +(-3.40881 + 3.49284i) q^{30} +(-2.27317 + 6.99609i) q^{31} +(-0.866025 - 0.500000i) q^{32} +(0.618688 + 2.91070i) q^{33} +(0.681232 + 6.48149i) q^{34} +(-0.297477 + 0.0192244i) q^{35} +(-0.184386 + 1.75432i) q^{36} +(2.10924 + 2.90312i) q^{37} +(2.29740 - 3.70431i) q^{38} +(-3.61585 - 2.62707i) q^{39} +(0.552398 - 2.16676i) q^{40} +(7.85851 + 3.49883i) q^{41} +(-0.216238 + 0.194701i) q^{42} +(-4.20997 + 2.43063i) q^{43} +(-0.912260 - 1.01317i) q^{44} +(-3.88801 + 0.664422i) q^{45} +(-0.621407 - 1.91249i) q^{46} +(1.52028 - 7.15236i) q^{47} +(-0.887765 - 1.99395i) q^{48} +6.98223 q^{49} +(4.99852 - 0.121739i) q^{50} +(-7.11239 + 12.3190i) q^{51} +(2.03649 + 0.214044i) q^{52} +(1.26301 - 5.94198i) q^{53} +(1.80518 - 2.00486i) q^{54} +(1.62911 - 2.57675i) q^{55} +(0.0411960 - 0.126788i) q^{56} +(8.80915 - 3.59368i) q^{57} +(-6.50608 - 2.11395i) q^{58} +(9.04903 + 4.02889i) q^{59} +(3.75523 - 3.11739i) q^{60} +(-11.2775 + 5.02108i) q^{61} +(2.99200 - 6.72015i) q^{62} +(-0.233873 + 0.0245811i) q^{63} +(0.809017 + 0.587785i) q^{64} +(0.771292 + 4.51339i) q^{65} +(-0.311048 - 2.95942i) q^{66} +(5.50558 - 4.95725i) q^{67} -6.51719i q^{68} +(1.35632 - 4.17431i) q^{69} +(0.297856 + 0.0119757i) q^{70} +(-1.02140 + 1.13438i) q^{71} +(0.366752 - 1.72543i) q^{72} +(12.1387 + 1.27582i) q^{73} +(-1.79423 - 3.10769i) q^{74} +(8.98259 + 6.19779i) q^{75} +(-2.67202 + 3.44388i) q^{76} +(0.106831 - 0.147041i) q^{77} +(3.32144 + 2.99064i) q^{78} +(-9.04810 + 10.0489i) q^{79} +(-0.775860 + 2.09715i) q^{80} +(10.9360 - 2.32452i) q^{81} +(-7.44973 - 4.30111i) q^{82} +(12.2619 + 3.98414i) q^{83} +(0.235405 - 0.171032i) q^{84} +(14.0294 - 3.94284i) q^{85} +(4.44098 - 1.97725i) q^{86} +(-8.77640 - 12.0797i) q^{87} +(0.801358 + 1.10297i) q^{88} +(11.8157 - 5.26069i) q^{89} +(3.93617 - 0.254374i) q^{90} +(0.0285348 + 0.271491i) q^{91} +(0.418093 + 1.96697i) q^{92} +(13.9048 - 8.02794i) q^{93} +(-2.25958 + 6.95426i) q^{94} +(-9.03008 - 3.66847i) q^{95} +(0.674477 + 2.07583i) q^{96} +(6.40478 + 5.76689i) q^{97} +(-6.94398 - 0.729842i) q^{98} +(1.20246 - 2.08272i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9}+O(q^{10}) \) 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9	\( 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9} - 12 q^{11} + 8 q^{14} - 18 q^{15} + 50 q^{16} - 10 q^{17} - 12 q^{19} + 4 q^{20} - 32 q^{21} + 20 q^{22} + 30 q^{23} - 14 q^{25} + 60 q^{27} + 24 q^{29} - 52 q^{30} + 20 q^{33} + 8 q^{34} - 8 q^{35} + 50 q^{36} - 24 q^{39} - 16 q^{41} + 4 q^{44} - 144 q^{45} - 32 q^{46} + 120 q^{47} - 440 q^{49} - 40 q^{50} + 52 q^{51} + 40 q^{53} - 12 q^{54} - 88 q^{55} + 16 q^{56} + 48 q^{59} - 2 q^{60} - 28 q^{61} + 10 q^{63} + 100 q^{64} + 152 q^{65} + 16 q^{66} - 80 q^{67} - 16 q^{69} + 8 q^{70} - 14 q^{71} + 80 q^{73} - 104 q^{75} - 8 q^{76} - 80 q^{77} + 60 q^{78} - 8 q^{79} + 2 q^{80} + 106 q^{81} + 80 q^{83} + 56 q^{84} + 78 q^{85} - 20 q^{86} + 80 q^{87} + 12 q^{89} + 78 q^{90} - 8 q^{91} - 20 q^{92} + 4 q^{95} - 30 q^{97} - 40 q^{98} - 12 q^{99}+O(q^{100}) \) 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9 - 12 * q^11 + 8 * q^14 - 18 * q^15 + 50 * q^16 - 10 * q^17 - 12 * q^19 + 4 * q^20 - 32 * q^21 + 20 * q^22 + 30 * q^23 - 14 * q^25 + 60 * q^27 + 24 * q^29 - 52 * q^30 + 20 * q^33 + 8 * q^34 - 8 * q^35 + 50 * q^36 - 24 * q^39 - 16 * q^41 + 4 * q^44 - 144 * q^45 - 32 * q^46 + 120 * q^47 - 440 * q^49 - 40 * q^50 + 52 * q^51 + 40 * q^53 - 12 * q^54 - 88 * q^55 + 16 * q^56 + 48 * q^59 - 2 * q^60 - 28 * q^61 + 10 * q^63 + 100 * q^64 + 152 * q^65 + 16 * q^66 - 80 * q^67 - 16 * q^69 + 8 * q^70 - 14 * q^71 + 80 * q^73 - 104 * q^75 - 8 * q^76 - 80 * q^77 + 60 * q^78 - 8 * q^79 + 2 * q^80 + 106 * q^81 + 80 * q^83 + 56 * q^84 + 78 * q^85 - 20 * q^86 + 80 * q^87 + 12 * q^89 + 78 * q^90 - 8 * q^91 - 20 * q^92 + 4 * q^95 - 30 * q^97 - 40 * q^98 - 12 * q^99

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