LMFDB - Embedded newform 490.2.p.a.239.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [490,2,Mod(29,490)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(490, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 6]))

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

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

chi := DirichletCharacter("490.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 490 = 2 \cdot 5 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	490.p (of order $14$, degree $6$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$3.91266969904$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			239.8
Character	$\chi$	$=$	490.239
Dual form			490.2.p.a.449.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.781831 - 0.623490i) q^{2} +(-0.0985255 + 0.204590i) q^{3} +(0.222521 + 0.974928i) q^{4} +(-2.05555 + 0.880174i) q^{5} +(0.204590 - 0.0985255i) q^{6} +(-0.719254 - 2.54611i) q^{7} +(0.433884 - 0.900969i) q^{8} +(1.83832 + 2.30518i) q^{9} +O(q^{10})$	\(q+(-0.781831 - 0.623490i) q^{2} +(-0.0985255 + 0.204590i) q^{3} +(0.222521 + 0.974928i) q^{4} +(-2.05555 + 0.880174i) q^{5} +(0.204590 - 0.0985255i) q^{6} +(-0.719254 - 2.54611i) q^{7} +(0.433884 - 0.900969i) q^{8} +(1.83832 + 2.30518i) q^{9} +(2.15587 + 0.593468i) q^{10} +(1.14712 - 1.43845i) q^{11} +(-0.221385 - 0.0505296i) q^{12} +(-0.208379 - 0.166177i) q^{13} +(-1.02514 + 2.43908i) q^{14} +(0.0224492 - 0.507265i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(-3.36872 - 0.768887i) q^{17} -2.94844i q^{18} +8.08129 q^{19} +(-1.31551 - 1.80816i) q^{20} +(0.591774 + 0.103704i) q^{21} +(-1.79371 + 0.409403i) q^{22} +(5.46583 - 1.24754i) q^{23} +(0.141581 + 0.177537i) q^{24} +(3.45059 - 3.61849i) q^{25} +(0.0593079 + 0.259845i) q^{26} +(-1.31689 + 0.300572i) q^{27} +(2.32222 - 1.26778i) q^{28} +(1.12883 - 4.94571i) q^{29} +(-0.333826 + 0.382599i) q^{30} +5.34663 q^{31} +(0.974928 + 0.222521i) q^{32} +(0.181271 + 0.376413i) q^{33} +(2.15437 + 2.70150i) q^{34} +(3.71948 + 4.60059i) q^{35} +(-1.83832 + 2.30518i) q^{36} +(4.72628 + 1.07874i) q^{37} +(-6.31821 - 5.03860i) q^{38} +(0.0545289 - 0.0262597i) q^{39} +(-0.0988610 + 2.23388i) q^{40} +(-2.20582 - 1.06227i) q^{41} +(-0.398009 - 0.450044i) q^{42} +(-2.42518 - 5.03594i) q^{43} +(1.65764 + 0.798277i) q^{44} +(-5.80772 - 3.12038i) q^{45} +(-5.05119 - 2.43252i) q^{46} +(6.10038 + 4.86489i) q^{47} -0.227078i q^{48} +(-5.96535 + 3.66260i) q^{49} +(-4.95387 + 0.677642i) q^{50} +(0.489211 - 0.613451i) q^{51} +(0.115642 - 0.240133i) q^{52} +(9.46838 - 2.16109i) q^{53} +(1.21699 + 0.586072i) q^{54} +(-1.09189 + 3.96647i) q^{55} +(-2.60604 - 0.456690i) q^{56} +(-0.796213 + 1.65335i) q^{57} +(-3.96615 + 3.16290i) q^{58} +(-13.5792 + 6.53941i) q^{59} +(0.499543 - 0.0909909i) q^{60} +(2.66439 - 11.6734i) q^{61} +(-4.18017 - 3.33357i) q^{62} +(4.54702 - 6.33857i) q^{63} +(-0.623490 - 0.781831i) q^{64} +(0.574599 + 0.158175i) q^{65} +(0.0929665 - 0.407313i) q^{66} -0.326381i q^{67} -3.45535i q^{68} +(-0.283289 + 1.24117i) q^{69} +(-0.0395876 - 5.91595i) q^{70} +(-1.48356 - 6.49988i) q^{71} +(2.87451 - 0.656089i) q^{72} +(7.02441 - 5.60178i) q^{73} +(-3.02257 - 3.79018i) q^{74} +(0.400337 + 1.06247i) q^{75} +(1.79826 + 7.87868i) q^{76} +(-4.48751 - 1.88609i) q^{77} +(-0.0590051 - 0.0134675i) q^{78} +8.81712 q^{79} +(1.47009 - 1.68488i) q^{80} +(-1.90001 + 8.32450i) q^{81} +(1.06227 + 2.20582i) q^{82} +(-12.8722 + 10.2653i) q^{83} +(0.0305779 + 0.600013i) q^{84} +(7.60132 - 1.38457i) q^{85} +(-1.24377 + 5.44933i) q^{86} +(0.900626 + 0.718225i) q^{87} +(-0.798277 - 1.65764i) q^{88} +(-5.39558 - 6.76584i) q^{89} +(2.59514 + 6.06066i) q^{90} +(-0.273227 + 0.650080i) q^{91} +(2.43252 + 5.05119i) q^{92} +(-0.526780 + 1.09387i) q^{93} +(-1.73626 - 7.60705i) q^{94} +(-16.6115 + 7.11294i) q^{95} +(-0.141581 + 0.177537i) q^{96} +11.7351i q^{97} +(6.94749 + 0.855798i) q^{98} +5.42465 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q + 28 q^{4} - 4 q^{5} + 14 q^{6} + 18 q^{9}+O(q^{10}) $ 168 * q + 28 * q^4 - 4 * q^5 + 14 * q^6 + 18 * q^9	$ 168 q + 28 q^{4} - 4 q^{5} + 14 q^{6} + 18 q^{9} - 4 q^{10} - 24 q^{11} + 4 q^{14} - 2 q^{15} - 28 q^{16} + 44 q^{19} - 10 q^{20} + 22 q^{26} - 2 q^{29} - 12 q^{30} - 16 q^{31} - 8 q^{34} - 4 q^{35} - 18 q^{36} - 80 q^{39} - 10 q^{40} + 52 q^{41} - 18 q^{44} - 72 q^{45} + 26 q^{46} - 52 q^{49} - 8 q^{50} + 64 q^{51} - 42 q^{54} - 60 q^{55} + 10 q^{56} - 58 q^{59} + 2 q^{60} + 32 q^{61} + 28 q^{64} + 4 q^{65} + 48 q^{66} - 48 q^{69} + 18 q^{70} - 68 q^{71} - 10 q^{74} - 16 q^{76} - 4 q^{80} + 34 q^{81} + 84 q^{84} - 48 q^{85} - 64 q^{86} + 100 q^{89} + 54 q^{90} + 78 q^{91} - 86 q^{94} - 64 q^{95} - 212 q^{99}+O(q^{100}) $ 168 * q + 28 * q^4 - 4 * q^5 + 14 * q^6 + 18 * q^9 - 4 * q^10 - 24 * q^11 + 4 * q^14 - 2 * q^15 - 28 * q^16 + 44 * q^19 - 10 * q^20 + 22 * q^26 - 2 * q^29 - 12 * q^30 - 16 * q^31 - 8 * q^34 - 4 * q^35 - 18 * q^36 - 80 * q^39 - 10 * q^40 + 52 * q^41 - 18 * q^44 - 72 * q^45 + 26 * q^46 - 52 * q^49 - 8 * q^50 + 64 * q^51 - 42 * q^54 - 60 * q^55 + 10 * q^56 - 58 * q^59 + 2 * q^60 + 32 * q^61 + 28 * q^64 + 4 * q^65 + 48 * q^66 - 48 * q^69 + 18 * q^70 - 68 * q^71 - 10 * q^74 - 16 * q^76 - 4 * q^80 + 34 * q^81 + 84 * q^84 - 48 * q^85 - 64 * q^86 + 100 * q^89 + 54 * q^90 + 78 * q^91 - 86 * q^94 - 64 * q^95 - 212 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/490\mathbb{Z}\right)^\times$.

$n$	$101$	$197$
$\chi(n)$	$e\left(\frac{1}{7}\right)$	$-1$

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 $

$2$	−0.781831	−	0.623490i	−0.552838	−	0.440874i
$2$	−0.781831	−	0.623490i	−0.552838	−	0.440874i
$3$	−0.0985255	+	0.204590i	−0.0568837	+	0.118120i	−0.927473	−	0.373890i	$-0.878024\pi$
$3$	−0.0985255	+	0.204590i	−0.0568837	+	0.118120i	0.870589	+	0.492011i	$0.163738\pi$
$4$	0.222521	+	0.974928i	0.111260	+	0.487464i
$5$	−2.05555	+	0.880174i	−0.919271	+	0.393626i
$5$	−2.05555	+	0.880174i	−0.919271	+	0.393626i
$6$	0.204590	−	0.0985255i	0.0835236	−	0.0402229i
$7$	−0.719254	−	2.54611i	−0.271852	−	0.962339i
$7$	−0.719254	−	2.54611i	−0.271852	−	0.962339i
$8$	0.433884	−	0.900969i	0.153401	−	0.318541i
$9$	1.83832	+	2.30518i	0.612773	+	0.768393i
$10$	2.15587	+	0.593468i	0.681747	+	0.187671i
$11$	1.14712	−	1.43845i	0.345870	−	0.433708i	−0.578221	−	0.815880i	$-0.696253\pi$
$11$	1.14712	−	1.43845i	0.345870	−	0.433708i	0.924091	+	0.382173i	$0.124824\pi$
$12$	−0.221385	−	0.0505296i	−0.0639083	−	0.0145866i
$13$	−0.208379	−	0.166177i	−0.0577940	−	0.0460892i	0.594167	−	0.804342i	$-0.297482\pi$
$13$	−0.208379	−	0.166177i	−0.0577940	−	0.0460892i	−0.651961	+	0.758253i	$0.726053\pi$
$14$	−1.02514	+	2.43908i	−0.273980	+	0.651871i
$15$	0.0224492	−	0.507265i	0.00579635	−	0.130975i
$16$	−0.900969	+	0.433884i	−0.225242	+	0.108471i
$17$	−3.36872	−	0.768887i	−0.817034	−	0.186483i	−0.206473	−	0.978452i	$-0.566199\pi$
$17$	−3.36872	−	0.768887i	−0.817034	−	0.186483i	−0.610560	+	0.791970i	$0.709056\pi$
$18$		−	2.94844i		−	0.694953i
$19$	8.08129			1.85398			0.926988	−	0.375092i	$-0.122389\pi$
$19$	8.08129			1.85398			0.926988	+	0.375092i	$0.122389\pi$
$20$	−1.31551	−	1.80816i	−0.294157	−	0.404316i
$21$	0.591774	+	0.103704i	0.129136	+	0.0226301i
$22$	−1.79371	+	0.409403i	−0.382421	+	0.0872850i
$23$	5.46583	−	1.24754i	1.13970	−	0.260130i	0.389301	−	0.921110i	$-0.372716\pi$
$23$	5.46583	−	1.24754i	1.13970	−	0.260130i	0.750403	+	0.660980i	$0.229859\pi$
$24$	0.141581	+	0.177537i	0.0289001	+	0.0362395i
$25$	3.45059	−	3.61849i	0.690117	−	0.723697i
$26$	0.0593079	+	0.259845i	0.0116312	+	0.0509598i
$27$	−1.31689	+	0.300572i	−0.253436	+	0.0578451i
$28$	2.32222	−	1.26778i	0.438859	−	0.239589i
$29$	1.12883	−	4.94571i	0.209618	−	0.918395i	−0.755204	−	0.655490i	$-0.772462\pi$
$29$	1.12883	−	4.94571i	0.209618	−	0.918395i	0.964822	−	0.262905i	$-0.0846807\pi$
$30$	−0.333826	+	0.382599i	−0.0609481	+	0.0698528i
$31$	5.34663			0.960284			0.480142	−	0.877191i	$-0.340585\pi$
$31$	5.34663			0.960284			0.480142	+	0.877191i	$0.340585\pi$
$32$	0.974928	+	0.222521i	0.172345	+	0.0393365i
$33$	0.181271	+	0.376413i	0.0315553	+	0.0655252i
$34$	2.15437	+	2.70150i	0.369472	+	0.463303i
$35$	3.71948	+	4.60059i	0.628707	+	0.777642i
$36$	−1.83832	+	2.30518i	−0.306387	+	0.384197i
$37$	4.72628	+	1.07874i	0.776996	+	0.177344i	0.592588	−	0.805505i	$-0.298106\pi$
$37$	4.72628	+	1.07874i	0.776996	+	0.177344i	0.184408	+	0.982850i	$0.440963\pi$
$38$	−6.31821	−	5.03860i	−1.02495	−	0.817369i
$39$	0.0545289	−	0.0262597i	0.00873161	−	0.00420492i
$40$	−0.0988610	+	2.23388i	−0.0156313	+	0.353208i
$41$	−2.20582	−	1.06227i	−0.344492	−	0.165899i	0.253635	−	0.967300i	$-0.418374\pi$
$41$	−2.20582	−	1.06227i	−0.344492	−	0.165899i	−0.598127	+	0.801401i	$0.704088\pi$
$42$	−0.398009	−	0.450044i	−0.0614141	−	0.0694434i
$43$	−2.42518	−	5.03594i	−0.369837	−	0.767974i	0.630127	−	0.776492i	$-0.283003\pi$
$43$	−2.42518	−	5.03594i	−0.369837	−	0.767974i	−0.999964	+	0.00851827i	$0.997289\pi$
$44$	1.65764	+	0.798277i	0.249899	+	0.120345i
$45$	−5.80772	−	3.12038i	−0.865764	−	0.465158i
$46$	−5.05119	−	2.43252i	−0.744757	−	0.358656i
$47$	6.10038	+	4.86489i	0.889832	+	0.709617i	0.957605	−	0.288084i	$-0.0930181\pi$
$47$	6.10038	+	4.86489i	0.889832	+	0.709617i	−0.0677736	+	0.997701i	$0.521590\pi$
$48$		−	0.227078i		−	0.0327759i
$49$	−5.96535	+	3.66260i	−0.852192	+	0.523228i
$50$	−4.95387	+	0.677642i	−0.700583	+	0.0958330i
$51$	0.489211	−	0.613451i	0.0685033	−	0.0859004i
$52$	0.115642	−	0.240133i	0.0160366	−	0.0333004i
$53$	9.46838	−	2.16109i	1.30058	−	0.296849i	0.484503	−	0.874790i	$-0.339001\pi$
$53$	9.46838	−	2.16109i	1.30058	−	0.296849i	0.816079	+	0.577941i	$0.196143\pi$
$54$	1.21699	+	0.586072i	0.165612	+	0.0797544i
$55$	−1.09189	+	3.96647i	−0.147230	+	0.534838i
$56$	−2.60604	−	0.456690i	−0.348246	−	0.0610278i
$57$	−0.796213	+	1.65335i	−0.105461	+	0.218992i
$58$	−3.96615	+	3.16290i	−0.520781	+	0.415309i
$59$	−13.5792	+	6.53941i	−1.76787	+	0.851359i	−0.799957	+	0.600057i	$0.795144\pi$
$59$	−13.5792	+	6.53941i	−1.76787	+	0.851359i	−0.967909	+	0.251302i	$0.919141\pi$
$60$	0.499543	−	0.0909909i	0.0644907	−	0.0117469i
$61$	2.66439	−	11.6734i	0.341140	−	1.49463i	−0.455532	−	0.890220i	$-0.650551\pi$
$61$	2.66439	−	11.6734i	0.341140	−	1.49463i	0.796672	−	0.604412i	$-0.206592\pi$
$62$	−4.18017	−	3.33357i	−0.530882	−	0.423364i
$63$	4.54702	−	6.33857i	0.572871	−	0.798585i
$64$	−0.623490	−	0.781831i	−0.0779362	−	0.0977289i
$65$	0.574599	+	0.158175i	0.0712703	+	0.0196192i
$66$	0.0929665	−	0.407313i	0.0114434	−	0.0501367i
$67$		−	0.326381i		−	0.0398738i	−0.999801	−	0.0199369i	$-0.993653\pi$
$67$		−	0.326381i		−	0.0398738i	0.999801	−	0.0199369i	$-0.00634654\pi$
$68$		−	3.45535i		−	0.419023i
$69$	−0.283289	+	1.24117i	−0.0341040	+	0.149419i
$70$	−0.0395876	−	5.91595i	−0.00473162	−	0.707091i
$71$	−1.48356	−	6.49988i	−0.176066	−	0.771394i	−0.983422	−	0.181330i	$-0.941960\pi$
$71$	−1.48356	−	6.49988i	−0.176066	−	0.771394i	0.807357	−	0.590064i	$-0.200897\pi$
$72$	2.87451	−	0.656089i	0.338765	−	0.0773208i
$73$	7.02441	−	5.60178i	0.822144	−	0.655638i	−0.119281	−	0.992861i	$-0.538059\pi$
$73$	7.02441	−	5.60178i	0.822144	−	0.655638i	0.941425	+	0.337222i	$0.109487\pi$
$74$	−3.02257	−	3.79018i	−0.351367	−	0.440600i
$75$	0.400337	+	1.06247i	0.0462269	+	0.122683i
$76$	1.79826	+	7.87868i	0.206274	+	0.903746i
$77$	−4.48751	−	1.88609i	−0.511399	−	0.214940i
$78$	−0.0590051	−	0.0134675i	−0.00668101	−	0.00152490i
$79$	8.81712			0.992004			0.496002	−	0.868321i	$-0.334801\pi$
$79$	8.81712			0.992004			0.496002	+	0.868321i	$0.334801\pi$
$80$	1.47009	−	1.68488i	0.164362	−	0.188375i
$81$	−1.90001	+	8.32450i	−0.211113	+	0.924944i
$82$	1.06227	+	2.20582i	0.117308	+	0.243593i
$83$	−12.8722	+	10.2653i	−1.41291	+	1.12676i	−0.439357	+	0.898313i	$0.644794\pi$
$83$	−12.8722	+	10.2653i	−1.41291	+	1.12676i	−0.973556	+	0.228448i	$0.926635\pi$
$84$	0.0305779	+	0.600013i	0.00333632	+	0.0654668i
$85$	7.60132	−	1.38457i	0.824479	−	0.150178i
$86$	−1.24377	+	5.44933i	−0.134120	+	0.587617i
$87$	0.900626	+	0.718225i	0.0965573	+	0.0770018i
$88$	−0.798277	−	1.65764i	−0.0850966	−	0.176705i
$89$	−5.39558	−	6.76584i	−0.571930	−	0.717178i	0.408783	−	0.912632i	$-0.365953\pi$
$89$	−5.39558	−	6.76584i	−0.571930	−	0.717178i	−0.980713	+	0.195454i	$0.937382\pi$
$90$	2.59514	+	6.06066i	0.273551	+	0.638850i
$91$	−0.273227	+	0.650080i	−0.0286420	+	0.0681469i
$92$	2.43252	+	5.05119i	0.253608	+	0.526623i
$93$	−0.526780	+	1.09387i	−0.0546245	+	0.113429i
$94$	−1.73626	−	7.60705i	−0.179081	−	0.784607i
$95$	−16.6115	+	7.11294i	−1.70431	+	0.729773i
$96$	−0.141581	+	0.177537i	−0.0144500	+	0.0181198i
$97$			11.7351i			1.19152i	0.803163	+	0.595760i	$0.203149\pi$
$97$			11.7351i			1.19152i	−0.803163	+	0.595760i	$0.796851\pi$
$98$	6.94749	+	0.855798i	0.701802	+	0.0864487i
$99$	5.42465			0.545198
$100$	4.29559	+	2.55888i	0.429559	+	0.255888i
$101$	0.211069	+	0.101645i	0.0210021	+	0.0101141i	0.444355	−	0.895851i	$-0.353433\pi$
$101$	0.211069	+	0.101645i	0.0210021	+	0.0101141i	−0.423353	+	0.905965i	$0.639147\pi$
$102$	−0.764961	+	0.174597i	−0.0757425	+	0.0172877i
$103$	0.296603	−	0.615902i	0.0292252	−	0.0606867i	−0.885845	−	0.463981i	$-0.846421\pi$
$103$	0.296603	−	0.615902i	0.0292252	−	0.0606867i	0.915070	+	0.403294i	$0.132135\pi$
$104$	−0.240133	+	0.115642i	−0.0235469	+	0.0113396i
$105$	−1.30770	+	0.307695i	−0.127618	+	0.0300279i
$106$	−8.75009	−	4.21382i	−0.849884	−	0.409283i
$107$	−13.2107	+	10.5352i	−1.27712	+	1.01847i	−0.278815	+	0.960345i	$0.589942\pi$
$107$	−13.2107	+	10.5352i	−1.27712	+	1.01847i	−0.998309	+	0.0581277i	$0.981487\pi$
$108$	−0.586072	−	1.21699i	−0.0563949	−	0.117105i
$109$	−7.29307	+	9.14523i	−0.698550	+	0.875954i	−0.996914	−	0.0784983i	$-0.974987\pi$
$109$	−7.29307	+	9.14523i	−0.698550	+	0.875954i	0.298364	+	0.954452i	$0.403559\pi$
$110$	3.32672	−	2.42033i	0.317191	−	0.230769i
$111$	−0.686360	+	0.860668i	−0.0651464	+	0.0816910i
$112$	1.75274	+	1.98189i	0.165618	+	0.187271i
$113$	6.59189	−	5.25686i	0.620113	−	0.494524i	−0.262308	−	0.964984i	$-0.584484\pi$
$113$	6.59189	−	5.25686i	0.620113	−	0.494524i	0.882421	+	0.470461i	$0.155912\pi$
$114$	1.65335	−	0.796213i	0.154851	−	0.0745722i
$115$	−10.1372	+	7.37527i	−0.945303	+	0.687747i
$116$	5.07290			0.471007
$117$		−	0.785838i		−	0.0726508i
$118$	14.6939	+	3.35379i	1.35269	+	0.308742i
$119$	0.465291	+	9.13014i	0.0426531	+	0.836959i
$120$	−0.447290	−	0.240320i	−0.0408318	−	0.0219381i
$121$	1.69449	+	7.42406i	0.154045	+	0.674915i
$122$	−9.36138	+	7.46545i	−0.847540	+	0.675890i
$123$	0.434660	−	0.346630i	0.0391919	−	0.0312545i
$124$	1.18974	+	5.21258i	0.106842	+	0.468104i
$125$	−3.90796	+	10.4751i	−0.349539	+	0.936922i
$126$	−7.50704	+	2.12067i	−0.668780	+	0.188925i
$127$	10.5475	+	2.40740i	0.935939	+	0.213622i	0.663179	−	0.748460i	$-0.269207\pi$
$127$	10.5475	+	2.40740i	0.935939	+	0.213622i	0.272759	+	0.962082i	$0.412064\pi$
$128$			1.00000i			0.0883883i
$129$	1.26925			0.111751
$130$	−0.350619	−	0.481923i	−0.0307513	−	0.0422675i
$131$	6.73981	−	3.24572i	0.588860	−	0.283580i	−0.115632	−	0.993292i	$-0.536889\pi$
$131$	6.73981	−	3.24572i	0.588860	−	0.283580i	0.704492	+	0.709712i	$0.251175\pi$
$132$	−0.326639	+	0.260486i	−0.0284303	+	0.0226724i
$133$	−5.81250	−	20.5759i	−0.504008	−	1.78415i
$134$	−0.203496	+	0.255175i	−0.0175793	+	0.0220438i
$135$	2.44239	−	1.77694i	0.210207	−	0.152934i
$136$	−2.15437	+	2.70150i	−0.184736	+	0.231652i
$137$	2.26477	+	4.70284i	0.193492	+	0.401790i	0.975032	−	0.222065i	$-0.0712797\pi$
$137$	2.26477	+	4.70284i	0.193492	+	0.401790i	−0.781540	+	0.623855i	$0.785565\pi$
$138$	0.995341	−	0.793758i	0.0847291	−	0.0675692i
$139$	−6.49443	−	3.12755i	−0.550851	−	0.265276i	0.137688	−	0.990476i	$-0.456033\pi$
$139$	−6.49443	−	3.12755i	−0.550851	−	0.265276i	−0.688538	+	0.725200i	$0.741747\pi$
$140$	−3.65758	+	4.64996i	−0.309122	+	0.392993i
$141$	−1.59635	+	0.768762i	−0.134437	+	0.0647415i
$142$	−2.89272	+	6.00679i	−0.242752	+	0.504079i
$143$	−0.478073	+	0.109117i	−0.0399785	+	0.00912483i
$144$	−2.65645	−	1.27928i	−0.221371	−	0.106607i
$145$	2.03273	+	11.1597i	0.168809	+	0.926765i
$146$	−8.98455			−0.743567
$147$	−0.161593	−	1.58131i	−0.0133280	−	0.130424i
$148$			4.84783i			0.398489i
$149$	−0.659194	+	0.826603i	−0.0540033	+	0.0677180i	−0.808100	−	0.589046i	$-0.799504\pi$
$149$	−0.659194	+	0.826603i	−0.0540033	+	0.0677180i	0.754096	+	0.656764i	$0.228075\pi$
$150$	0.349443	−	1.08028i	0.0285319	−	0.0882043i
$151$	−3.52368	−	15.4382i	−0.286753	−	1.25635i	−0.888952	−	0.458001i	$-0.848566\pi$
$151$	−3.52368	−	15.4382i	−0.286753	−	1.25635i	0.602199	−	0.798346i	$-0.294291\pi$
$152$	3.50634	−	7.28099i	0.284402	−	0.590566i
$153$	−4.42035	−	9.17896i	−0.357364	−	0.742075i
$154$	2.33252	+	4.27252i	0.187960	+	0.344290i
$155$	−10.9903	+	4.70597i	−0.882761	+	0.377993i
$156$	0.0377352	+	0.0473184i	0.00302123	+	0.00378850i
$157$	−3.21417	−	6.67429i	−0.256519	−	0.532667i	0.732445	−	0.680827i	$-0.238379\pi$
$157$	−3.21417	−	6.67429i	−0.256519	−	0.532667i	−0.988963	+	0.148160i	$0.952665\pi$
$158$	−6.89351	−	5.49739i	−0.548418	−	0.437349i
$159$	−0.490737	+	2.15006i	−0.0389180	+	0.170511i
$160$	−2.19987	+	0.400703i	−0.173915	+	0.0316784i
$161$	−7.10770	−	13.0193i	−0.560165	−	1.02607i
$162$	6.67573	−	5.32372i	0.524495	−	0.418271i
$163$	5.62834	+	11.6874i	0.440846	+	0.915425i	0.996467	+	0.0839896i	$0.0267662\pi$
$163$	5.62834	+	11.6874i	0.440846	+	0.915425i	−0.555621	+	0.831436i	$0.687519\pi$
$164$	0.544794	−	2.38690i	0.0425412	−	0.186385i
$165$	−0.703922	−	0.614187i	−0.0548002	−	0.0478144i
$166$	16.4642			1.27787
$167$	−5.48359	−	1.25159i	−0.424333	−	0.0968512i	0.00502129	−	0.999987i	$-0.498402\pi$
$167$	−5.48359	−	1.25159i	−0.424333	−	0.0968512i	−0.429354	+	0.903136i	$0.641259\pi$
$168$	0.350195	−	0.488174i	0.0270182	−	0.0376635i
$169$	−2.87696	−	12.6048i	−0.221305	−	0.969601i
$170$	−6.80622	−	3.65685i	−0.522013	−	0.280468i
$171$	14.8560	+	18.6288i	1.13607	+	1.42458i
$172$	4.37003	−	3.48498i	0.333211	−	0.265727i
$173$	−2.25840	+	0.515464i	−0.171703	+	0.0391900i	−0.307508	−	0.951546i	$-0.599495\pi$
$173$	−2.25840	+	0.515464i	−0.171703	+	0.0391900i	0.135805	+	0.990736i	$0.456638\pi$
$174$	−0.256332	−	1.12306i	−0.0194325	−	0.0851391i
$175$	−11.6949	−	6.18296i	−0.884052	−	0.467388i
$176$	−0.409403	+	1.79371i	−0.0308599	+	0.135206i
$177$		−	3.42248i		−	0.257249i
$178$			8.65384i			0.648632i
$179$	−1.26495	+	5.54212i	−0.0945470	+	0.414237i	−0.999947	−	0.0103228i	$-0.996714\pi$
$179$	−1.26495	+	5.54212i	−0.0945470	+	0.414237i	0.905400	+	0.424560i	$0.139571\pi$
$180$	1.74980	−	6.35646i	0.130422	−	0.473782i
$181$	−5.37141	−	6.73553i	−0.399254	−	0.500648i	0.541047	−	0.840992i	$-0.318028\pi$
$181$	−5.37141	−	6.73553i	−0.399254	−	0.500648i	−0.940301	+	0.340344i	$0.889457\pi$
$182$	0.618936	−	0.337899i	0.0458786	−	0.0250467i
$183$	2.12576	+	1.69524i	0.157141	+	0.125316i
$184$	1.24754	−	5.46583i	0.0919699	−	0.402946i
$185$	−10.6646	+	1.94254i	−0.784077	+	0.142818i
$186$	1.09387	−	0.526780i	0.0802064	−	0.0386254i
$187$	−4.97033	+	3.96371i	−0.363467	+	0.289855i
$188$	−3.38545	+	7.02997i	−0.246910	+	0.512713i
$189$	1.71247	+	3.13677i	0.124564	+	0.228166i
$190$	17.4223	+	4.79599i	1.26394	+	0.347937i
$191$	18.8797	+	9.09198i	1.36609	+	0.657873i	0.965985	−	0.258598i	$-0.0832605\pi$
$191$	18.8797	+	9.09198i	1.36609	+	0.657873i	0.400102	+	0.916471i	$0.368975\pi$
$192$	0.221385	−	0.0505296i	0.0159771	−	0.00364666i
$193$	10.2987	−	21.3854i	0.741315	−	1.53936i	−0.0976808	−	0.995218i	$-0.531142\pi$
$193$	10.2987	−	21.3854i	0.741315	−	1.53936i	0.838996	−	0.544138i	$-0.183143\pi$
$194$	7.31672	−	9.17487i	0.525310	−	0.658717i
$195$	−0.0889738	+	0.101973i	−0.00637155	+	0.00730245i
$196$	−4.89818	−	5.00078i	−0.349870	−	0.357198i
$197$		−	9.58477i		−	0.682887i	−0.939902	−	0.341443i	$-0.889084\pi$
$197$		−	9.58477i		−	0.682887i	0.939902	−	0.341443i	$-0.110916\pi$
$198$	−4.24116	−	3.38221i	−0.301406	−	0.240364i
$199$	9.86175	+	4.74917i	0.699081	+	0.336660i	0.749441	−	0.662071i	$-0.230322\pi$
$199$	9.86175	+	4.74917i	0.699081	+	0.336660i	−0.0503596	+	0.998731i	$0.516037\pi$
$200$	−1.76299	−	4.67887i	−0.124662	−	0.330846i
$201$	0.0667745	+	0.0321569i	0.00470991	+	0.00226817i
$202$	−0.101645	−	0.211069i	−0.00715175	−	0.0148508i
$203$	−13.4042	+	0.683107i	−0.940793	+	0.0479447i
$204$	0.706931	+	0.340440i	0.0494950	+	0.0238356i
$205$	5.46917	+	0.242039i	0.381983	+	0.0169048i
$206$	−0.615902	+	0.296603i	−0.0429120	+	0.0206653i
$207$	12.9237	+	10.3063i	0.898263	+	0.716341i
$208$	0.259845	+	0.0593079i	0.0180170	+	0.00411226i
$209$	9.27023	−	11.6245i	0.641235	−	0.804083i
$210$	1.21425	+	0.574772i	0.0837909	+	0.0396631i
$211$	4.63465	+	5.81167i	0.319062	+	0.400092i	0.915337	−	0.402689i	$-0.131924\pi$
$211$	4.63465	+	5.81167i	0.319062	+	0.400092i	−0.596274	+	0.802781i	$0.703353\pi$
$212$	4.21382	+	8.75009i	0.289407	+	0.600959i
$213$	1.47598	+	0.336883i	0.101133	+	0.0230828i
$214$	16.8971			1.15506
$215$	9.41759	+	8.21706i	0.642274	+	0.560399i
$216$	−0.300572	+	1.31689i	−0.0204513	+	0.0896032i
$217$	−3.84559	−	13.6131i	−0.261056	−	0.924119i
$218$	11.4039	−	2.60287i	0.772370	−	0.176288i
$219$	0.453986	+	1.98904i	0.0306775	+	0.134407i
$220$	−4.10999	−	0.181889i	−0.277095	−	0.0122629i
$221$	0.574199	+	0.720023i	0.0386248	+	0.0484340i
$222$	1.07324	−	0.244959i	0.0720308	−	0.0164406i
$223$	12.4775	−	2.84790i	0.835554	−	0.190710i	0.216722	−	0.976233i	$-0.430463\pi$
$223$	12.4775	−	2.84790i	0.835554	−	0.190710i	0.618832	+	0.785523i	$0.287606\pi$
$224$	−0.134658	−	2.64232i	−0.00899722	−	0.176548i
$225$	14.6845	+	1.30229i	0.978970	+	0.0868192i
$226$	−8.43135			−0.560845
$227$		−	4.67589i		−	0.310350i	−0.987887	−	0.155175i	$-0.950406\pi$
$227$		−	4.67589i		−	0.310350i	0.987887	−	0.155175i	$-0.0495941\pi$
$228$	−1.78907	−	0.408345i	−0.118484	−	0.0270433i
$229$	−24.0357	+	11.5750i	−1.58832	+	0.764896i	−0.999073	−	0.0430538i	$-0.986291\pi$
$229$	−24.0357	+	11.5750i	−1.58832	+	0.764896i	−0.589251	+	0.807950i	$0.700577\pi$
$230$	12.5240	+	0.554254i	0.825810	+	0.0365464i
$231$	0.828010	−	0.732273i	0.0544791	−	0.0481800i
$232$	−3.96615	−	3.16290i	−0.260391	−	0.207655i
$233$	−16.8030	−	3.83519i	−1.10080	−	0.251251i	−0.366735	−	0.930326i	$-0.619524\pi$
$233$	−16.8030	−	3.83519i	−1.10080	−	0.251251i	−0.734070	+	0.679074i	$0.762381\pi$
$234$	−0.489962	+	0.614393i	−0.0320298	+	0.0401641i
$235$	−16.8216	−	4.63064i	−1.09732	−	0.302069i
$236$	−9.39712	−	11.7836i	−0.611701	−	0.767048i
$237$	−0.868711	+	1.80390i	−0.0564289	+	0.117176i
$238$	5.32877	−	7.42834i	0.345413	−	0.481508i
$239$	1.39279	−	0.670733i	0.0900922	−	0.0433861i	−0.388295	−	0.921535i	$-0.626936\pi$
$239$	1.39279	−	0.670733i	0.0900922	−	0.0433861i	0.478387	+	0.878149i	$0.341222\pi$
$240$	0.199868	+	0.466771i	0.0129014	+	0.0301299i
$241$	1.69090	+	7.40831i	0.108920	+	0.477211i	0.999739	+	0.0228519i	$0.00727463\pi$
$241$	1.69090	+	7.40831i	0.108920	+	0.477211i	−0.890819	+	0.454359i	$0.849868\pi$
$242$	3.30402	−	6.86087i	0.212390	−	0.441033i
$243$	−4.68411	−	3.73545i	−0.300486	−	0.239629i
$244$	11.9737			0.766535
$245$	9.03836	−	12.7792i	0.577439	−	0.816434i
$246$	−0.555951			−0.0354461
$247$	−1.68397	−	1.34292i	−0.107149	−	0.0854483i
$248$	2.31982	−	4.81715i	0.147309	−	0.305889i
$249$	−0.831931	−	3.64493i	−0.0527215	−	0.230988i
$250$	9.58649	−	5.75319i	0.606303	−	0.363864i
$251$	16.9868	−	8.18040i	1.07220	−	0.516342i	0.187382	−	0.982287i	$-0.440000\pi$
$251$	16.9868	−	8.18040i	1.07220	−	0.516342i	0.884814	+	0.465945i	$0.154285\pi$
$252$	7.19146	+	3.02255i	0.453019	+	0.190403i
$253$	4.47546	−	9.29338i	0.281370	−	0.584270i
$254$	−6.74538	−	8.45843i	−0.423243	−	0.530729i
$255$	−0.465655	+	1.69157i	−0.0291604	+	0.105930i
$256$	0.623490	−	0.781831i	0.0389681	−	0.0488645i
$257$	11.2053	+	2.55754i	0.698968	+	0.159535i	0.557217	−	0.830367i	$-0.311869\pi$
$257$	11.2053	+	2.55754i	0.698968	+	0.159535i	0.141752	+	0.989902i	$0.454726\pi$
$258$	−0.992337	−	0.791362i	−0.0617802	−	0.0492681i
$259$	−0.652799	−	12.8095i	−0.0405630	−	0.795945i
$260$	−0.0263491	+	0.595390i	−0.00163410	+	0.0369245i
$261$	13.4759	−	6.48965i	0.834137	−	0.401699i
$262$	−7.29307	−	1.66460i	−0.450568	−	0.102839i
$263$		−	18.2178i		−	1.12336i	−0.827356	−	0.561679i	$-0.810156\pi$
$263$		−	18.2178i		−	1.12336i	0.827356	−	0.561679i	$-0.189844\pi$
$264$	0.417787			0.0257130
$265$	−17.5606	+	12.7761i	−1.07874	+	0.784827i
$266$	−8.28444	+	19.7109i	−0.507952	+	1.20855i
$267$	1.91583	−	0.437275i	0.117247	−	0.0267608i
$268$	0.318198	−	0.0726267i	0.0194371	−	0.00443638i
$269$	−13.8280	−	17.3398i	−0.843108	−	1.05722i	−0.997601	−	0.0692297i	$-0.977946\pi$
$269$	−13.8280	−	17.3398i	−0.843108	−	1.05722i	0.154493	−	0.987994i	$-0.450626\pi$
$270$	−3.01744	−	0.133537i	−0.183635	−	0.00812683i
$271$	−1.04121	−	4.56183i	−0.0632489	−	0.277112i	0.933408	−	0.358818i	$-0.116820\pi$
$271$	−1.04121	−	4.56183i	−0.0632489	−	0.277112i	−0.996656	+	0.0817064i	$0.973963\pi$
$272$	3.36872	−	0.768887i	0.204258	−	0.0466206i
$273$	−0.106080	−	0.119949i	−0.00642027	−	0.00725965i
$274$	1.16150	−	5.08889i	0.0701691	−	0.307431i
$275$	−1.24675	−	9.11433i	−0.0751820	−	0.549615i
$276$	−1.27309			−0.0766310
$277$	−30.7558	−	7.01982i	−1.84794	−	0.421780i	−0.852969	−	0.521962i	$-0.825200\pi$
$277$	−30.7558	−	7.01982i	−1.84794	−	0.421780i	−0.994969	+	0.100182i	$0.968058\pi$
$278$	3.12755	+	6.49443i	0.187578	+	0.389510i
$279$	9.82882	+	12.3250i	0.588436	+	0.737876i
$280$	5.75881	−	1.35502i	0.344155	−	0.0809778i
$281$	−1.18506	+	1.48601i	−0.0706945	+	0.0886481i	−0.815921	−	0.578163i	$-0.803770\pi$
$281$	−1.18506	+	1.48601i	−0.0706945	+	0.0886481i	0.745227	+	0.666811i	$0.232341\pi$
$282$	1.72739	+	0.394266i	0.102865	+	0.0234782i
$283$	10.6742	+	8.51238i	0.634515	+	0.506009i	0.887107	−	0.461564i	$-0.152712\pi$
$283$	10.6742	+	8.51238i	0.634515	+	0.506009i	−0.252592	+	0.967573i	$0.581283\pi$
$284$	6.00679	−	2.89272i	0.356438	−	0.171651i
$285$	0.181418	−	4.09936i	0.0107463	−	0.242825i
$286$	0.441806	+	0.212763i	0.0261245	+	0.0125809i
$287$	−1.11811	+	6.38031i	−0.0659997	+	0.376618i
$288$	1.27928	+	2.65645i	0.0753822	+	0.156533i
$289$	−4.55941	−	2.19570i	−0.268201	−	0.129159i
$290$	5.36873	−	9.99241i	0.315263	−	0.586775i
$291$	−2.40089	−	1.15621i	−0.140743	−	0.0677780i
$292$	7.02441	+	5.60178i	0.411072	+	0.327819i
$293$			8.31529i			0.485785i	0.970053	+	0.242892i	$0.0780962\pi$
$293$			8.31529i			0.485785i	−0.970053	+	0.242892i	$0.921904\pi$
$294$	−0.859593	+	1.33707i	−0.0501325	+	0.0779796i
$295$	22.1570	−	25.3942i	1.29003	−	1.47851i
$296$	3.02257	−	3.79018i	0.175683	−	0.220300i
$297$	−1.07828	+	2.23907i	−0.0625681	+	0.129924i
$298$	1.03076	−	0.235264i	0.0597102	−	0.0136285i
$299$	−1.34628	−	0.648334i	−0.0778573	−	0.0374941i
$300$	−0.946748	+	0.626721i	−0.0546605	+	0.0361838i
$301$	−11.0777	+	9.79690i	−0.638510	+	0.564684i
$302$	−6.87067	+	14.2671i	−0.395362	+	0.820978i
$303$	−0.0415913	+	0.0331680i	−0.00238936	+	0.00190545i
$304$	−7.28099	+	3.50634i	−0.417594	+	0.201102i
$305$	4.79788	+	26.3405i	0.274726	+	1.50825i
$306$	−2.26701	+	9.93244i	−0.129597	+	0.567800i
$307$	−12.8637	−	10.2584i	−0.734168	−	0.585479i	0.183410	−	0.983037i	$-0.441287\pi$
$307$	−12.8637	−	10.2584i	−0.734168	−	0.585479i	−0.917577	+	0.397557i	$0.869858\pi$
$308$	0.840237	−	4.79469i	0.0478769	−	0.273203i
$309$	0.0967847	+	0.121364i	0.00550589	+	0.00690417i
$310$	11.5267	+	3.17306i	0.654671	+	0.180217i
$311$	−1.67102	+	7.32123i	−0.0947551	+	0.415149i	−0.999952	−	0.00984429i	$-0.996866\pi$
$311$	−1.67102	+	7.32123i	−0.0947551	+	0.415149i	0.905196	+	0.424993i	$0.139724\pi$
$312$		−	0.0605225i		−	0.00342641i
$313$			14.6410i			0.827556i	0.910378	+	0.413778i	$0.135791\pi$
$313$			14.6410i			0.827556i	−0.910378	+	0.413778i	$0.864209\pi$
$314$	−1.64841	+	7.22217i	−0.0930254	+	0.407571i
$315$	−3.76759	+	17.0314i	−0.212280	+	0.959613i
$316$	1.96199	+	8.59606i	0.110371	+	0.483566i
$317$	11.3095	−	2.58131i	0.635203	−	0.144981i	0.107219	−	0.994235i	$-0.465805\pi$
$317$	11.3095	−	2.58131i	0.635203	−	0.144981i	0.527984	+	0.849254i	$0.322948\pi$
$318$	1.72421	−	1.37502i	0.0966891	−	0.0771070i
$319$	−5.81923	−	7.29709i	−0.325814	−	0.408558i
$320$	1.96976	+	1.05832i	0.110113	+	0.0591616i
$321$	−0.853803	−	3.74076i	−0.0476547	−	0.208789i
$322$	−2.56039	+	14.6105i	−0.142685	+	0.814210i
$323$	−27.2236	−	6.21360i	−1.51476	−	0.345734i
$324$	−8.53858			−0.474365
$325$	−1.32034	+	0.180610i	−0.0732393	+	0.0100184i
$326$	2.88654	−	12.6468i	0.159871	−	0.700439i
$327$	−1.15247	−	2.39313i	−0.0637318	−	0.132340i
$328$	−1.91414	+	1.52648i	−0.105691	+	0.0842856i
$329$	7.99882	−	19.0313i	0.440989	−	1.04923i
$330$	0.167409	+	0.919079i	0.00921555	+	0.0505936i
$331$	−4.76459	+	20.8750i	−0.261885	+	1.14739i	0.657319	+	0.753613i	$0.271691\pi$
$331$	−4.76459	+	20.8750i	−0.261885	+	1.14739i	−0.919204	+	0.393782i	$0.871167\pi$
$332$	−12.8722	−	10.2653i	−0.706456	−	0.563380i
$333$	6.20172	+	12.8780i	0.339852	+	0.705710i
$334$	3.50689	+	4.39750i	0.191888	+	0.240620i
$335$	0.287273	+	0.670894i	0.0156954	+	0.0366549i
$336$	−0.578166	+	0.163327i	−0.0315415	+	0.00891021i
$337$	−2.21490	−	4.59928i	−0.120653	−	0.250539i	0.831891	−	0.554939i	$-0.187258\pi$
$337$	−2.21490	−	4.59928i	−0.120653	−	0.250539i	−0.952544	+	0.304400i	$0.901544\pi$
$338$	−5.60967	+	11.6486i	−0.305126	+	0.633600i
$339$	0.426033	+	1.86657i	0.0231389	+	0.101378i
$340$	3.04131	+	7.10265i	0.164938	+	0.385195i
$341$	6.13324	−	7.69084i	0.332134	−	0.416482i
$342$		−	23.8272i		−	1.28843i
$343$	13.6160	+	12.5541i	0.735194	+	0.677857i
$344$	−5.58947			−0.301364
$345$	−0.510131	−	2.80063i	−0.0274645	−	0.150781i
$346$	2.08707	+	1.00508i	0.112202	+	0.0540335i
$347$	14.1791	−	3.23629i	0.761175	−	0.173733i	0.175722	−	0.984440i	$-0.443774\pi$
$347$	14.1791	−	3.23629i	0.761175	−	0.173733i	0.585453	+	0.810706i	$0.300917\pi$
$348$	−0.499810	+	1.03787i	−0.0267926	+	0.0556354i
$349$	4.84731	−	2.33434i	0.259470	−	0.124954i	−0.299627	−	0.954056i	$-0.596862\pi$
$349$	4.84731	−	2.33434i	0.259470	−	0.124954i	0.559097	+	0.829102i	$0.311148\pi$
$350$	5.28844	+	12.1257i	0.282679	+	0.648146i
$351$	0.324361	+	0.156204i	0.0173131	+	0.00833757i
$352$	1.43845	−	1.14712i	0.0766694	−	0.0611418i
$353$	−1.77916	−	3.69446i	−0.0946950	−	0.196636i	0.848241	−	0.529611i	$-0.177662\pi$
$353$	−1.77916	−	3.69446i	−0.0946950	−	0.196636i	−0.942936	+	0.332974i	$0.891948\pi$
$354$	−2.13388	+	2.67580i	−0.113414	+	0.142217i
$355$	8.77055	+	12.0551i	0.465493	+	0.639816i
$356$	5.39558	−	6.76584i	0.285965	−	0.358589i
$357$	−1.91378	−	0.804358i	−0.101288	−	0.0425711i
$358$	4.44443	−	3.54432i	0.234896	−	0.187323i
$359$	16.0125	−	7.71121i	0.845107	−	0.406982i	0.0393479	−	0.999226i	$-0.487472\pi$
$359$	16.0125	−	7.71121i	0.845107	−	0.406982i	0.805759	+	0.592244i	$0.201758\pi$
$360$	−5.33124	+	3.87870i	−0.280981	+	0.204425i
$361$	46.3073			2.43722
$362$			8.61507i			0.452798i
$363$	−1.68584	−	0.384782i	−0.0884837	−	0.0201958i
$364$	−0.694580	−	0.121720i	−0.0364059	−	0.00637988i
$365$	−9.50849	+	17.6974i	−0.497697	+	0.926326i
$366$	−0.605024	−	2.65078i	−0.0316251	−	0.138559i
$367$	2.82422	−	2.25224i	0.147423	−	0.117566i	−0.547001	−	0.837132i	$-0.684231\pi$
$367$	2.82422	−	2.25224i	0.147423	−	0.117566i	0.694424	+	0.719566i	$0.255659\pi$
$368$	−4.38326	+	3.49553i	−0.228493	+	0.182217i
$369$	−1.60629	−	7.03761i	−0.0836200	−	0.366363i
$370$	9.54908	+	5.13053i	0.496433	+	0.266724i
$371$	−12.3126	−	22.5531i	−0.639236	−	1.17090i
$372$	−1.18366	−	0.270163i	−0.0613701	−	0.0140073i
$373$			25.6973i			1.33056i	0.746596	+	0.665278i	$0.231687\pi$
$373$			25.6973i			1.33056i	−0.746596	+	0.665278i	$0.768313\pi$
$374$	6.35729			0.328728
$375$	−1.75807	−	1.83160i	−0.0907864	−	0.0945832i
$376$	7.02997	−	3.38545i	0.362543	−	0.174591i
$377$	−1.05709	+	0.842999i	−0.0544428	+	0.0434167i
$378$	0.616878	−	3.52013i	0.0317288	−	0.181056i
$379$	7.60688	−	9.53873i	0.390739	−	0.489972i	−0.547087	−	0.837076i	$-0.684263\pi$
$379$	7.60688	−	9.53873i	0.390739	−	0.489972i	0.937827	+	0.347104i	$0.112835\pi$
$380$	−10.6310	−	14.6122i	−0.545360	−	0.749593i
$381$	−1.53173	+	1.92072i	−0.0784727	+	0.0984017i
$382$	−9.09198	−	18.8797i	−0.465186	−	0.965969i
$383$	−17.5968	+	14.0329i	−0.899152	+	0.717050i	−0.959674	−	0.281117i	$-0.909295\pi$
$383$	−17.5968	+	14.0329i	−0.899152	+	0.717050i	0.0605212	+	0.998167i	$0.480724\pi$
$384$	−0.204590	−	0.0985255i	−0.0104405	−	0.00502786i
$385$	10.8844	−	0.0728349i	0.554720	−	0.00371201i
$386$	−21.3854	+	10.2987i	−1.08849	+	0.524189i
$387$	7.15049	−	14.8481i	0.363480	−	0.754774i
$388$	−11.4409	+	2.61131i	−0.580823	+	0.132569i
$389$	−28.7119	−	13.8269i	−1.45575	−	0.701052i	−0.472166	−	0.881510i	$-0.656528\pi$
$389$	−28.7119	−	13.8269i	−1.45575	−	0.701052i	−0.983583	+	0.180458i	$0.942242\pi$
$390$	0.133142	−	0.0242515i	0.00674189	−	0.00122802i
$391$	−19.3720			−0.979687
$392$	0.711620	+	6.96373i	0.0359423	+	0.351722i
$393$			1.69869i			0.0856874i
$394$	−5.97601	+	7.49368i	−0.301067	+	0.377526i
$395$	−18.1241	+	7.76060i	−0.911920	+	0.390478i
$396$	1.20710	+	5.28864i	0.0606590	+	0.265764i
$397$	−7.38130	+	15.3274i	−0.370457	+	0.769261i	−0.999970	−	0.00772840i	$-0.997540\pi$
$397$	−7.38130	+	15.3274i	−0.370457	+	0.769261i	0.629513	+	0.776990i	$0.283254\pi$
$398$	−4.74917	−	9.86175i	−0.238054	−	0.494325i
$399$	4.78230	+	0.838065i	0.239414	+	0.0419557i
$400$	−1.53887	+	4.75730i	−0.0769434	+	0.237865i
$401$	1.57202	+	1.97126i	0.0785032	+	0.0984398i	0.819532	−	0.573033i	$-0.194233\pi$
$401$	1.57202	+	1.97126i	0.0785032	+	0.0984398i	−0.741029	+	0.671473i	$0.765662\pi$
$402$	−0.0321569	−	0.0667745i	−0.00160384	−	0.00333041i
$403$	−1.11413	−	0.888488i	−0.0554987	−	0.0442587i
$404$	−0.0521297	+	0.228395i	−0.00259355	+	0.0113631i
$405$	−3.42143	−	18.7838i	−0.170012	−	0.933374i
$406$	10.9058	+	7.82333i	0.541244	+	0.388265i
$407$	6.97334	−	5.56105i	0.345655	−	0.275651i
$408$	−0.340440	−	0.706931i	−0.0168543	−	0.0349983i
$409$	−3.45558	+	15.1399i	−0.170868	+	0.748620i	0.814775	+	0.579777i	$0.196860\pi$
$409$	−3.45558	+	15.1399i	−0.170868	+	0.748620i	−0.985643	+	0.168843i	$0.945997\pi$
$410$	−4.12506	−	3.59920i	−0.203722	−	0.177752i
$411$	−1.18529			−0.0584661
$412$	0.666461	+	0.152115i	0.0328342	+	0.00749418i
$413$	26.4170	+	29.8707i	1.29989	+	1.46984i
$414$	−3.67829	−	16.1157i	−0.180778	−	0.792041i
$415$	17.4243	−	32.4306i	0.855327	−	1.59196i
$416$	−0.166177	−	0.208379i	−0.00814750	−	0.0102166i
$417$	1.27973	−	1.02055i	0.0626689	−	0.0499767i
$418$	−14.4955	+	3.30851i	−0.708999	+	0.161824i
$419$	7.49071	+	32.8190i	0.365945	+	1.60331i	0.737800	+	0.675020i	$0.235865\pi$
$419$	7.49071	+	32.8190i	0.365945	+	1.60331i	−0.371855	+	0.928291i	$0.621278\pi$
$420$	−0.590971	−	1.20644i	−0.0288364	−	0.0588685i
$421$	−5.39292	+	23.6279i	−0.262835	+	1.15155i	0.655326	+	0.755346i	$0.272531\pi$
$421$	−5.39292	+	23.6279i	−0.262835	+	1.15155i	−0.918161	+	0.396209i	$0.870326\pi$
$422$		−	7.43340i		−	0.361852i
$423$			23.0057i			1.11857i
$424$	2.16109	−	9.46838i	0.104952	−	0.459825i
$425$	−14.4063	+	9.53654i	−0.698806	+	0.462590i
$426$	−0.943925	−	1.18364i	−0.0457333	−	0.0573478i
$427$	−31.6383	+	1.61235i	−1.53108	+	0.0780271i
$428$	−13.2107	−	10.5352i	−0.638562	−	0.509236i
$429$	0.0247781	−	0.108560i	0.00119630	−	0.00524132i
$430$	−2.23972	−	12.2961i	−0.108009	−	0.592972i
$431$	4.30152	−	2.07150i	0.207197	−	0.0997808i	−0.327407	−	0.944883i	$-0.606175\pi$
$431$	4.30152	−	2.07150i	0.207197	−	0.0997808i	0.534604	+	0.845102i	$0.320461\pi$
$432$	1.05607	−	0.842185i	0.0508100	−	0.0405196i
$433$	−11.6918	+	24.2783i	−0.561873	+	1.16674i	0.405666	+	0.914021i	$0.367040\pi$
$433$	−11.6918	+	24.2783i	−0.561873	+	1.16674i	−0.967539	+	0.252720i	$0.918675\pi$
$434$	−5.48104	+	13.0408i	−0.263098	+	0.625981i
$435$	−2.48345	−	0.683642i	−0.119072	−	0.0327781i
$436$	−10.5388	−	5.07522i	−0.504717	−	0.243059i
$437$	44.1710	−	10.0817i	2.11298	−	0.482275i
$438$	0.885207	−	1.83815i	0.0422968	−	0.0878303i
$439$	−11.0783	+	13.8918i	−0.528740	+	0.663019i	−0.972439	−	0.233157i	$-0.925094\pi$
$439$	−11.0783	+	13.8918i	−0.528740	+	0.663019i	0.443699	+	0.896176i	$0.353666\pi$
$440$	3.09991	+	2.70474i	0.147782	+	0.128943i
$441$	−19.4092	−	7.01817i	−0.924246	−	0.334199i
$442$		−	0.920944i		−	0.0438049i
$443$	1.04643	+	0.834501i	0.0497175	+	0.0396484i	0.648033	−	0.761612i	$-0.275592\pi$
$443$	1.04643	+	0.834501i	0.0497175	+	0.0396484i	−0.598316	+	0.801260i	$0.704163\pi$
$444$	−0.991819	−	0.477635i	−0.0470696	−	0.0226675i
$445$	17.0460	+	9.15849i	0.808058	+	0.434154i
$446$	−11.5309	−	5.55300i	−0.546005	−	0.262942i
$447$	−0.104168	−	0.216306i	−0.00492696	−	0.0102309i
$448$	−1.54218	+	2.14981i	−0.0728612	+	0.101569i
$449$	−8.70678	−	4.19296i	−0.410898	−	0.197878i	0.217003	−	0.976171i	$-0.430372\pi$
$449$	−8.70678	−	4.19296i	−0.410898	−	0.197878i	−0.627902	+	0.778293i	$0.716086\pi$
$450$	−10.6689	−	10.1738i	−0.502936	−	0.479599i
$451$	−4.05836	+	1.95441i	−0.191101	+	0.0920294i
$452$	6.59189	+	5.25686i	0.310057	+	0.247262i
$453$	3.50569	+	0.800150i	0.164712	+	0.0375943i
$454$	−2.91537	+	3.65576i	−0.136825	+	0.171573i
$455$	−0.0105512	−	1.57676i	−0.000494647	−	0.0739197i
$456$	1.14416	+	1.43473i	0.0535800	+	0.0671872i
$457$	−3.97532	−	8.25483i	−0.185957	−	0.386145i	0.787060	−	0.616877i	$-0.211602\pi$
$457$	−3.97532	−	8.25483i	−0.185957	−	0.386145i	−0.973017	+	0.230732i	$0.925888\pi$
$458$	26.0087	+	5.93633i	1.21531	+	0.277386i
$459$	4.66734			0.217853
$460$	−9.44610	−	8.24193i	−0.440427	−	0.384282i
$461$	7.02472	−	30.7773i	0.327174	−	1.43344i	−0.497318	−	0.867568i	$-0.665682\pi$
$461$	7.02472	−	30.7773i	0.327174	−	1.43344i	0.824492	−	0.565874i	$-0.191461\pi$
$462$	−1.10393	+	0.0562585i	−0.0513594	+	0.00261738i
$463$	−19.4205	+	4.43261i	−0.902549	+	0.206001i	−0.648522	−	0.761196i	$-0.724613\pi$
$463$	−19.4205	+	4.43261i	−0.902549	+	0.206001i	−0.254027	+	0.967197i	$0.581755\pi$
$464$	1.12883	+	4.94571i	0.0524044	+	0.229599i
$465$	0.120027	−	2.71216i	0.00556614	−	0.125774i
$466$	10.7460	+	13.4750i	0.497797	+	0.624217i
$467$	23.0356	−	5.25772i	1.06596	−	0.243298i	0.346655	−	0.937993i	$-0.387317\pi$
$467$	23.0356	−	5.25772i	1.06596	−	0.243298i	0.719305	+	0.694694i	$0.244460\pi$
$468$	0.766136	−	0.174865i	0.0354146	−	0.00808316i
$469$	−0.831003	+	0.234751i	−0.0383722	+	0.0108398i
$470$	10.2645	+	14.1085i	0.473466	+	0.650775i
$471$	1.68217			0.0775104
$472$			15.0718i			0.693736i
$473$	−10.0259	−	2.28835i	−0.460992	−	0.105218i
$474$	1.80390	−	0.868711i	0.0828558	−	0.0399012i
$475$	27.8852	−	29.2421i	1.27946	−	1.34172i
$476$	−8.79770	+	2.48527i	−0.403242	+	0.113912i
$477$	22.3876	+	17.8535i	1.02506	+	0.817457i
$478$	−1.50712	−	0.343991i	−0.0689342	−	0.0157338i
$479$	−11.8474	+	14.8561i	−0.541320	+	0.678793i	−0.974982	−	0.222282i	$-0.928649\pi$
$479$	−11.8474	+	14.8561i	−0.541320	+	0.678793i	0.433663	+	0.901075i	$0.357221\pi$
$480$	0.134764	−	0.489552i	0.00615108	−	0.0223449i
$481$	−0.805598	−	1.01019i	−0.0367321	−	0.0460606i
$482$	3.29701	−	6.84631i	0.150175	−	0.311841i
$483$	3.36391	−	0.171432i	0.153063	−	0.00780042i
$484$	−6.86087	+	3.30402i	−0.311858	+	0.150183i
$485$	−10.3289	−	24.1221i	−0.469013	−	1.09533i
$486$	1.33317	+	5.84099i	0.0604737	+	0.264953i
$487$	−17.0490	+	35.4026i	−0.772563	+	1.60424i	0.0240176	+	0.999712i	$0.492354\pi$
$487$	−17.0490	+	35.4026i	−0.772563	+	1.60424i	−0.796581	+	0.604532i	$0.793360\pi$
$488$	−9.36138	−	7.46545i	−0.423770	−	0.337945i
$489$	−2.94566			−0.133207
$490$	−15.0342	+	4.35586i	−0.679175	+	0.196778i
$491$	−12.7542			−0.575589			−0.287795	−	0.957692i	$-0.592922\pi$
$491$	−12.7542			−0.575589			−0.287795	+	0.957692i	$0.592922\pi$
$492$	0.434660	+	0.346630i	0.0195960	+	0.0156273i
$493$	−7.60539	+	15.7928i	−0.342529	+	0.711270i
$494$	0.479284	+	2.09988i	0.0215640	+	0.0944781i
$495$	−11.1507	+	4.77464i	−0.501185	+	0.214604i
$496$	−4.81715	+	2.31982i	−0.216296	+	0.104163i
$497$	−15.4824	+	8.45236i	−0.694479	+	0.379140i
$498$	−1.62215	+	3.36842i	−0.0726901	+	0.150943i
$499$	15.0883	+	18.9201i	0.675443	+	0.846979i	0.994926	−	0.100613i	$-0.0320805\pi$
$499$	15.0883	+	18.9201i	0.675443	+	0.846979i	−0.319482	+	0.947592i	$0.603509\pi$
$500$	−11.0821	−	1.47905i	−0.495606	−	0.0661451i
$501$	0.796337	−	0.998575i	0.0355777	−	0.0446131i
$502$	−18.3812	−	4.19539i	−0.820393	−	0.187249i
$503$	21.2435	+	16.9411i	0.947202	+	0.755368i	0.969680	−	0.244379i	$-0.0785842\pi$
$503$	21.2435	+	16.9411i	0.947202	+	0.755368i	−0.0224781	+	0.999747i	$0.507156\pi$
$504$	−3.73798	−	6.84693i	−0.166503	−	0.304986i
$505$	−0.523329	−	0.0231600i	−0.0232878	−	0.00103061i
$506$	−9.29338	+	4.47546i	−0.413141	+	0.198958i
$507$	2.86228	+	0.653296i	0.127118	+	0.0290139i
$508$			10.8187i			0.480004i
$509$	−9.46690			−0.419613			−0.209807	−	0.977743i	$-0.567283\pi$
$509$	−9.46690			−0.419613			−0.209807	+	0.977743i	$0.567283\pi$
$510$	1.41874	−	1.03219i	0.0628229	−	0.0457063i
$511$	−19.3151	−	13.8558i	−0.854448	−	0.612945i
$512$	−0.974928	+	0.222521i	−0.0430861	+	0.00983413i
$513$	−10.6422	+	2.42901i	−0.469864	+	0.107243i
$514$	−7.16607	−	8.98597i	−0.316082	−	0.396354i
$515$	−0.0675814	+	1.52708i	−0.00297799	+	0.0672913i
$516$	0.282434	+	1.23742i	0.0124335	+	0.0544746i
$517$	13.9958	−	3.19444i	0.615533	−	0.140491i
$518$	−7.47623	+	10.4219i	−0.328487	+	0.457912i
$519$	0.117051	−	0.512832i	0.00513795	−	0.0225108i
$520$	0.391820	−	0.449066i	0.0171825	−	0.0196929i
$521$	37.5150			1.64356			0.821781	−	0.569803i	$-0.192981\pi$
$521$	37.5150			1.64356			0.821781	+	0.569803i	$0.192981\pi$
$522$	−14.5821	−	3.32827i	−0.638242	−	0.145674i
$523$	−0.982559	−	2.04031i	−0.0429643	−	0.0892163i	0.878382	−	0.477960i	$-0.158624\pi$
$523$	−0.982559	−	2.04031i	−0.0429643	−	0.0892163i	−0.921346	+	0.388743i	$0.872909\pi$
$524$	4.66410	+	5.84859i	0.203752	+	0.255497i
$525$	2.41722	−	1.78349i	0.105496	−	0.0778377i
$526$	−11.3586	+	14.2432i	−0.495259	+	0.621035i
$527$	−18.0113	−	4.11096i	−0.784584	−	0.179076i
$528$	−0.326639	−	0.260486i	−0.0142152	−	0.0113362i
$529$	7.59667	−	3.65836i	0.330290	−	0.159059i
$530$	21.6952	+	0.960126i	0.942378	+	0.0417052i
$531$	−40.0375	−	19.2810i	−1.73748	−	0.836726i
$532$	18.7666	−	10.2453i	0.813634	−	0.444191i
$533$	0.283124	+	0.587912i	0.0122634	+	0.0254653i
$534$	−1.77049	−	0.852623i	−0.0766166	−	0.0368966i
$535$	17.8825	−	33.2833i	0.773126	−	1.43896i
$536$	−0.294060	−	0.141612i	−0.0127014	−	0.00611669i
$537$	−1.00923	−	0.804837i	−0.0435516	−	0.0347313i
$538$			22.1784i			0.956178i
$539$	−1.57453	+	12.7823i	−0.0678199	+	0.550571i
$540$	2.27587	+	1.98574i	0.0979377	+	0.0854528i
$541$	−23.4396	+	29.3924i	−1.00775	+	1.26368i	−0.0433945	+	0.999058i	$0.513817\pi$
$541$	−23.4396	+	29.3924i	−1.00775	+	1.26368i	−0.964353	+	0.264618i	$0.914754\pi$
$542$	−2.03021	+	4.21577i	−0.0872049	+	0.181083i
$543$	1.90725	−	0.435316i	0.0818477	−	0.0186812i
$544$	−3.11316	−	1.49922i	−0.133476	−	0.0642785i
$545$	6.94190	−	25.2177i	0.297358	−	1.08021i
$546$	0.00814984	+	0.159920i	0.000348781	+	0.00684394i
$547$	0.436606	−	0.906621i	0.0186679	−	0.0387643i	−0.891426	−	0.453165i	$-0.850295\pi$
$547$	0.436606	−	0.906621i	0.0186679	−	0.0387643i	0.910094	+	0.414401i	$0.136009\pi$
$548$	−4.08097	+	3.25446i	−0.174330	+	0.139024i
$549$	31.8074	−	15.3176i	1.35751	−	0.653741i
$550$	−4.70794	+	7.90320i	−0.200747	+	0.336994i
$551$	9.12237	−	39.9677i	0.388626	−	1.70268i
$552$	0.995341	+	0.793758i	0.0423645	+	0.0337846i
$553$	−6.34175	−	22.4494i	−0.269679	−	0.954644i
$554$	19.6691	+	24.6643i	0.835659	+	1.04788i
$555$	0.653310	−	2.37326i	0.0277315	−	0.100739i
$556$	1.60399	−	7.02755i	0.0680244	−	0.298034i
$557$			4.15112i			0.175888i	0.996125	+	0.0879442i	$0.0280297\pi$
$557$			4.15112i			0.175888i	−0.996125	+	0.0879442i	$0.971970\pi$
$558$		−	15.7642i		−	0.667352i
$559$	−0.331500	+	1.45240i	−0.0140209	+	0.0614298i
$560$	−5.34726	−	2.53117i	−0.225963	−	0.106961i
$561$	−0.321231	−	1.40741i	−0.0135624	−	0.0594208i
$562$	1.85303	−	0.422942i	0.0781653	−	0.0178407i
$563$	17.9450	−	14.3107i	0.756293	−	0.603124i	−0.167564	−	0.985861i	$-0.553590\pi$
$563$	17.9450	−	14.3107i	0.756293	−	0.603124i	0.923857	+	0.382738i	$0.125019\pi$
$564$	−1.10471	−	1.38526i	−0.0465167	−	0.0583301i
$565$	−8.92303	+	16.6078i	−0.375395	+	0.698694i
$566$	−3.03803	−	13.3105i	−0.127698	−	0.559482i
$567$	22.5617	−	1.14979i	0.947501	−	0.0482866i
$568$	−6.49988	−	1.48356i	−0.272729	−	0.0622486i
$569$	−40.1415			−1.68282			−0.841410	−	0.540398i	$-0.818274\pi$
$569$	−40.1415			−1.68282			−0.841410	+	0.540398i	$0.818274\pi$
$570$	−2.69775	+	3.09190i	−0.112996	+	0.129505i
$571$	8.05593	−	35.2953i	0.337130	−	1.47706i	−0.467875	−	0.883795i	$-0.654980\pi$
$571$	8.05593	−	35.2953i	0.337130	−	1.47706i	0.805005	−	0.593268i	$-0.202163\pi$
$572$	−0.212763	−	0.441806i	−0.00889605	−	0.0184728i
$573$	−3.72026	+	2.96681i	−0.155416	+	0.123940i
$574$	4.85223	−	4.29120i	0.202528	−	0.179111i
$575$	14.3461	−	24.0828i	0.598274	−	1.00432i
$576$	0.656089	−	2.87451i	0.0273370	−	0.119771i
$577$	−0.310015	−	0.247229i	−0.0129061	−	0.0102923i	0.617016	−	0.786951i	$-0.288342\pi$
$577$	−0.310015	−	0.247229i	−0.0129061	−	0.0102923i	−0.629922	+	0.776659i	$0.716913\pi$
$578$	2.19570	+	4.55941i	0.0913290	+	0.189647i
$579$	3.36057	+	4.21402i	0.139660	+	0.175129i
$580$	−10.4276	+	4.46503i	−0.432983	+	0.185400i
$581$	35.3949	+	25.3908i	1.46843	+	1.05339i
$582$	1.15621	+	2.40089i	0.0479263	+	0.0995200i
$583$	7.75276	−	16.0988i	0.321087	−	0.666743i
$584$	−1.99925	−	8.75929i	−0.0827296	−	0.362462i
$585$	0.691675	+	1.61533i	0.0285972	+	0.0667857i
$586$	5.18450	−	6.50116i	0.214170	−	0.268560i
$587$			27.6587i			1.14160i	0.821090	+	0.570799i	$0.193366\pi$
$587$			27.6587i			1.14160i	−0.821090	+	0.570799i	$0.806634\pi$
$588$	1.50571	−	0.509417i	0.0620943	−	0.0210080i
$589$	43.2077			1.78034
$590$	−33.1561	+	6.03932i	−1.36501	+	0.248635i
$591$	1.96095	+	0.944345i	0.0806628	+	0.0388451i
$592$	−4.72628	+	1.07874i	−0.194249	+	0.0443361i
$593$	−6.75647	+	14.0300i	−0.277455	+	0.576141i	−0.992402	−	0.123037i	$-0.960736\pi$
$593$	−6.75647	+	14.0300i	−0.277455	+	0.576141i	0.714947	+	0.699179i	$0.246451\pi$
$594$	2.23907	−	1.07828i	0.0918702	−	0.0442424i
$595$	−8.99255	−	18.3579i	−0.368658	−	0.752602i
$596$	−0.952563	−	0.458730i	−0.0390185	−	0.0187903i
$597$	−1.94327	+	1.54970i	−0.0795327	+	0.0634252i
$598$	0.648334	+	1.34628i	0.0265123	+	0.0550534i
$599$	−2.67508	+	3.35445i	−0.109301	+	0.137059i	−0.833473	−	0.552561i	$-0.813651\pi$
$599$	−2.67508	+	3.35445i	−0.109301	+	0.137059i	0.724172	+	0.689620i	$0.242222\pi$
$600$	1.13095	+	0.100298i	0.0461709	+	0.00409463i
$601$	10.1158	−	12.6848i	0.412632	−	0.517424i	−0.531471	−	0.847077i	$-0.678360\pi$
$601$	10.1158	−	12.6848i	0.412632	−	0.517424i	0.944102	+	0.329653i	$0.106932\pi$
$602$	14.7692	−	0.752668i	0.601947	−	0.0306765i
$603$	0.752368	−	0.599993i	0.0306388	−	0.0244336i
$604$	14.2671	−	6.87067i	0.580519	−	0.279563i
$605$	−10.0176	−	13.7691i	−0.407273	−	0.559793i
$606$	0.0531973			0.00216099
$607$		−	35.5085i		−	1.44125i	−0.693327	−	0.720623i	$-0.743856\pi$
$607$		−	35.5085i		−	1.44125i	0.693327	−	0.720623i	$-0.256144\pi$
$608$	7.87868	+	1.79826i	0.319523	+	0.0729289i
$609$	1.18090	−	2.80968i	0.0478525	−	0.113854i
$610$	12.6719	−	23.5853i	0.513070	−	0.954940i
$611$	−0.462760	−	2.02748i	−0.0187213	−	0.0820233i
$612$	7.96520	−	6.35203i	0.321974	−	0.256766i
$613$	−13.2802	+	10.5906i	−0.536381	+	0.427749i	−0.853850	−	0.520519i	$-0.825738\pi$
$613$	−13.2802	+	10.5906i	−0.536381	+	0.427749i	0.317469	+	0.948269i	$0.397167\pi$
$614$	3.66119	+	16.0407i	0.147754	+	0.647351i
$615$	−0.588371	+	1.09509i	−0.0237254	+	0.0441583i
$616$	−3.64637	+	3.22476i	−0.146916	+	0.129929i
$617$	16.0196	+	3.65637i	0.644925	+	0.147200i	0.532459	−	0.846456i	$-0.321268\pi$
$617$	16.0196	+	3.65637i	0.644925	+	0.147200i	0.112466	+	0.993656i	$0.464125\pi$
$618$		−	0.155231i		−	0.00624429i
$619$	−3.77685			−0.151805			−0.0759023	−	0.997115i	$-0.524184\pi$
$619$	−3.77685			−0.151805			−0.0759023	+	0.997115i	$0.524184\pi$
$620$	−7.03355	−	9.66756i	−0.282474	−	0.388258i
$621$	−6.82294	+	3.28575i	−0.273795	+	0.131853i
$622$	5.87117	−	4.68210i	0.235413	−	0.187735i
$623$	−13.3458	+	18.6041i	−0.534687	+	0.745357i
$624$	−0.0377352	+	0.0473184i	−0.00151062	+	0.00189425i
$625$	−1.18690	−	24.9718i	−0.0474760	−	0.998872i
$626$	9.12849	−	11.4468i	0.364848	−	0.457505i
$627$	1.46491	+	3.04191i	0.0585027	+	0.121482i
$628$	5.79173	−	4.61875i	0.231115	−	0.184308i
$629$	−15.0921	−	7.26796i	−0.601760	−	0.289792i
$630$	13.5645	−	10.9667i	0.540424	−	0.436922i
$631$	−25.7692	+	12.4098i	−1.02586	+	0.494026i	−0.869635	−	0.493696i	$-0.835646\pi$
$631$	−25.7692	+	12.4098i	−1.02586	+	0.494026i	−0.156222	+	0.987722i	$0.549931\pi$
$632$	3.82561	−	7.94395i	0.152174	−	0.315994i
$633$	−1.64564	+	0.375607i	−0.0654084	+	0.0149290i
$634$	−10.4515	−	5.03319i	−0.415083	−	0.199893i
$635$	−23.7999	+	4.33510i	−0.944468	+	0.172033i
$636$	−2.20535			−0.0874479
$637$	1.85169	+	0.228093i	0.0733668	+	0.00903739i
$638$			9.33333i			0.369510i
$639$	12.2561	−	15.3687i	0.484846	−	0.607977i
$640$	−0.880174	−	2.05555i	−0.0347919	−	0.0812528i
$641$	7.44052	+	32.5990i	0.293883	+	1.28758i	0.879073	+	0.476688i	$0.158163\pi$
$641$	7.44052	+	32.5990i	0.293883	+	1.28758i	−0.585190	+	0.810896i	$0.698980\pi$
$642$	−1.66479	+	3.45698i	−0.0657042	+	0.136436i
$643$	−10.6301	−	22.0735i	−0.419208	−	0.870495i	−0.998467	−	0.0553513i	$-0.982372\pi$
$643$	−10.6301	−	22.0735i	−0.419208	−	0.870495i	0.579259	−	0.815144i	$-0.303342\pi$
$644$	11.1113	−	9.82656i	0.437846	−	0.387221i
$645$	−2.60900	+	1.11716i	−0.102729	+	0.0439881i
$646$	17.4101	+	21.8316i	0.684992	+	0.858953i
$647$	0.514289	+	1.06793i	0.0202188	+	0.0419848i	0.910834	−	0.412774i	$-0.135440\pi$
$647$	0.514289	+	1.06793i	0.0202188	+	0.0419848i	−0.890615	+	0.454758i	$0.849726\pi$
$648$	6.67573	+	5.32372i	0.262247	+	0.209135i
$649$	−6.17045	+	27.0345i	−0.242211	+	1.06120i
$650$	1.14489	+	0.682012i	0.0449064	+	0.0267507i
$651$	3.16400	+	0.554469i	0.124007	+	0.0217314i
$652$	−10.1419	+	8.08791i	−0.397188	+	0.316747i
$653$	0.583199	+	1.21102i	0.0228223	+	0.0473910i	0.912068	−	0.410038i	$-0.134485\pi$
$653$	0.583199	+	1.21102i	0.0228223	+	0.0473910i	−0.889246	+	0.457429i	$0.848770\pi$
$654$	−0.591054	+	2.58958i	−0.0231120	+	0.101261i
$655$	−10.9972	+	12.6040i	−0.429698	+	0.492478i
$656$	2.44828			0.0955893
$657$	25.8262	+	5.89466i	1.00758	+	0.229973i
$658$	−18.1196	+	9.89210i	−0.706374	+	0.385634i
$659$	7.68756	+	33.6814i	0.299465	+	1.31204i	0.870927	+	0.491413i	$0.163519\pi$
$659$	7.68756	+	33.6814i	0.299465	+	1.31204i	−0.571462	+	0.820629i	$0.693624\pi$
$660$	0.442151	−	0.822942i	0.0172107	−	0.0320330i
$661$	2.32784	+	2.91902i	0.0905426	+	0.113537i	0.825039	−	0.565076i	$-0.191153\pi$
$661$	2.32784	+	2.91902i	0.0905426	+	0.113537i	−0.734497	+	0.678612i	$0.762582\pi$
$662$	16.7405	−	13.3501i	0.650636	−	0.518865i
$663$	−0.203883	+	0.0465350i	−0.00791816	+	0.00180727i
$664$	3.66363	+	16.0514i	0.142177	+	0.622916i
$665$	30.0582	+	37.1787i	1.16561	+	1.44173i
$666$	3.18061	−	13.9351i	0.123246	−	0.539976i
$667$		−	28.4407i		−	1.10123i
$668$		−	5.62461i		−	0.217623i
$669$	−0.646697	+	2.83336i	−0.0250027	+	0.109544i
$670$	0.193697	−	0.703638i	0.00748316	−	0.0271839i
$671$	−13.7352	−	17.2234i	−0.530243	−	0.664904i
$672$	0.553861	+	0.232786i	0.0213656	+	0.00897993i
$673$	−19.0971	−	15.2295i	−0.736141	−	0.587053i	0.182004	−	0.983298i	$-0.441742\pi$
$673$	−19.0971	−	15.2295i	−0.736141	−	0.587053i	−0.918145	+	0.396245i	$0.870313\pi$
$674$	−1.13593	+	4.97683i	−0.0437543	+	0.191700i
$675$	−3.45644	+	5.80231i	−0.133038	+	0.223331i
$676$	11.6486	−	5.60967i	0.448023	−	0.215756i
$677$	16.3037	−	13.0018i	0.626604	−	0.499700i	−0.257938	−	0.966162i	$-0.583043\pi$
$677$	16.3037	−	13.0018i	0.626604	−	0.499700i	0.884541	+	0.466462i	$0.154471\pi$
$678$	0.830703	−	1.72497i	0.0319029	−	0.0662471i
$679$	29.8789	−	8.44052i	1.14665	−	0.323917i
$680$	2.05064	−	7.44930i	0.0786384	−	0.285668i
$681$	0.956642	+	0.460695i	0.0366586	+	0.0176539i
$682$	−9.59032	+	2.18893i	−0.367232	+	0.0838184i
$683$	−13.7606	+	28.5743i	−0.526536	+	1.09336i	0.452891	+	0.891566i	$0.350393\pi$
$683$	−13.7606	+	28.5743i	−0.526536	+	1.09336i	−0.979427	+	0.201798i	$0.935322\pi$
$684$	−14.8560	+	18.6288i	−0.568033	+	0.712291i
$685$	−8.79466	−	7.67354i	−0.336027	−	0.293191i
$686$	−2.81805	−	18.3046i	−0.107594	−	0.698873i
$687$		−	6.05790i		−	0.231123i
$688$	4.37003	+	3.48498i	0.166606	+	0.132864i
$689$	−2.33214	−	1.12310i	−0.0888474	−	0.0427866i
$690$	−1.34733	+	2.50769i	−0.0512920	+	0.0954659i
$691$	6.48370	+	3.12239i	0.246652	+	0.118781i	0.553126	−	0.833098i	$-0.313435\pi$
$691$	6.48370	+	3.12239i	0.246652	+	0.118781i	−0.306474	+	0.951879i	$0.599149\pi$
$692$	−1.00508	−	2.08707i	−0.0382074	−	0.0793386i
$693$	−3.90170	−	13.8118i	−0.148213	−	0.524665i
$694$	−13.1035	−	6.31030i	−0.497401	−	0.239536i
$695$	16.1024	+	0.712618i	0.610800	+	0.0270311i
$696$	1.03787	−	0.499810i	0.0393402	−	0.0189452i
$697$	6.61403	+	5.27451i	0.250524	+	0.199786i
$698$	−5.24521	−	1.19719i	−0.198534	−	0.0453142i
$699$	2.44017	−	3.05988i	0.0922957	−	0.115735i
$700$	3.42558	−	12.7775i	0.129475	−	0.482945i
$701$	25.8338	+	32.3946i	0.975730	+	1.22353i	0.974698	+	0.223527i	$0.0717572\pi$
$701$	25.8338	+	32.3946i	0.975730	+	1.22353i	0.00103252	+	0.999999i	$0.499671\pi$
$702$	−0.156204	−	0.324361i	−0.00589555	−	0.0122422i
$703$	38.1945	+	8.71764i	1.44053	+	0.328792i
$704$	−1.83984			−0.0693416
$705$	2.60474	−	2.98530i	0.0981001	−	0.112433i
$706$	−0.912456	+	3.99773i	−0.0343407	+	0.150457i
$707$	0.106988	−	0.610513i	0.00402371	−	0.0229607i
$708$	3.33667	−	0.761573i	0.125400	−	0.0286217i
$709$	−9.42922	−	41.3121i	−0.354122	−	1.55151i	−0.767560	−	0.640977i	$-0.778530\pi$
$709$	−9.42922	−	41.3121i	−0.354122	−	1.55151i	0.413439	−	0.910532i	$-0.364328\pi$
$710$	0.659110	−	14.8934i	0.0247360	−	0.558938i
$711$	16.2087	+	20.3251i	0.607873	+	0.762249i
$712$	−8.43687	+	1.92566i	−0.316185	+	0.0721671i
$713$	29.2238	−	6.67014i	1.09444	−	0.249799i
$714$	0.994746	+	1.82210i	0.0372274	+	0.0681902i
$715$	0.886662	−	0.645083i	0.0331593	−	0.0241247i
$716$	−5.68464			−0.212445
$717$			0.351036i			0.0131097i
$718$	−17.3269	−	3.95476i	−0.646635	−	0.147590i
$719$	22.6261	−	10.8962i	0.843812	−	0.406358i	0.0385349	−	0.999257i	$-0.487731\pi$
$719$	22.6261	−	10.8962i	0.843812	−	0.406358i	0.805277	+	0.592899i	$0.202017\pi$
$720$	6.58646	+	0.291485i	0.245463	+	0.0108630i
$721$	−1.78149	−	0.312193i	−0.0663461	−	0.0116267i
$722$	−36.2045	−	28.8721i	−1.34739	−	1.07451i
$723$	−1.68226	−	0.383966i	−0.0625641	−	0.0142798i
$724$	5.37141	−	6.73553i	0.199627	−	0.250324i
$725$	−14.0009	−	21.1502i	−0.519980	−	0.785500i
$726$	1.07814	+	1.35194i	0.0400134	+	0.0501752i
$727$	−4.41197	+	9.16155i	−0.163631	+	0.339783i	−0.966622	−	0.256209i	$-0.917527\pi$
$727$	−4.41197	+	9.16155i	−0.163631	+	0.339783i	0.802991	+	0.595992i	$0.203241\pi$
$728$	0.467153	+	0.528228i	0.0173138	+	0.0195774i
$729$	−21.8532	+	10.5240i	−0.809379	+	0.389777i
$730$	18.4682	−	7.90797i	0.683539	−	0.292687i
$731$	4.29767	+	18.8293i	0.158955	+	0.696428i
$732$	−1.17971	+	2.44969i	−0.0436033	+	0.0905433i
$733$	−14.4662	−	11.5364i	−0.534320	−	0.426106i	0.318799	−	0.947822i	$-0.396721\pi$
$733$	−14.4662	−	11.5364i	−0.534320	−	0.426106i	−0.853119	+	0.521716i	$0.825292\pi$
$734$	−3.61231			−0.133333
$735$	1.72399	+	3.10824i	0.0635904	+	0.114649i
$736$	5.60640			0.206654
$737$	−0.469482	−	0.374399i	−0.0172936	−	0.0137912i
$738$	−3.13203	+	6.50373i	−0.115292	+	0.239406i
$739$	9.05406	+	39.6684i	0.333059	+	1.45923i	0.813174	+	0.582021i	$0.197738\pi$
$739$	9.05406	+	39.6684i	0.333059	+	1.45923i	−0.480115	+	0.877206i	$0.659405\pi$
$740$	−4.26693	−	9.96496i	−0.156856	−	0.366319i
$741$	0.440664	−	0.212212i	0.0161882	−	0.00779582i
$742$	−4.43532	+	25.3095i	−0.162826	+	0.929141i
$743$	−11.2090	+	23.2758i	−0.411220	+	0.853906i	0.587773	+	0.809026i	$0.300005\pi$
$743$	−11.2090	+	23.2758i	−0.411220	+	0.853906i	−0.998992	+	0.0448802i	$0.985709\pi$
$744$	0.756981	+	0.949224i	0.0277523	+	0.0348003i
$745$	0.627453	−	2.27933i	0.0229881	−	0.0835082i
$746$	16.0220	−	20.0910i	0.586607	−	0.735582i
$747$	−47.3266	−	10.8020i	−1.73159	−	0.395224i
$748$	−4.97033	−	3.96371i	−0.181733	−	0.144927i
$749$	36.3255	+	26.0584i	1.32731	+	0.952152i
$750$	0.232534	+	2.52814i	0.00849094	+	0.0923146i
$751$	−14.1974	+	6.83711i	−0.518070	+	0.249490i	−0.674600	−	0.738184i	$-0.735684\pi$
$751$	−14.1974	+	6.83711i	−0.518070	+	0.249490i	0.156529	+	0.987673i	$0.449969\pi$
$752$	−7.60705	−	1.73626i	−0.277400	−	0.0633148i
$753$			4.28131i			0.156020i
$754$	1.35207			0.0492393
$755$	20.8314	+	28.6327i	0.758134	+	1.04205i
$756$	−2.67706	+	2.36753i	−0.0973637	+	0.0861063i
$757$	−24.7603	+	5.65139i	−0.899930	+	0.205403i	−0.647368	−	0.762178i	$-0.724130\pi$
$757$	−24.7603	+	5.65139i	−0.899930	+	0.205403i	−0.252562	+	0.967581i	$0.581273\pi$
$758$	−11.8946	+	2.71487i	−0.432031	+	0.0986084i
$759$	1.46039	+	1.83127i	0.0530088	+	0.0664709i
$760$	−0.798925	+	18.0526i	−0.0289800	+	0.654838i
$761$	−4.99956	−	21.9045i	−0.181234	−	0.794038i	−0.981044	−	0.193785i	$-0.937924\pi$
$761$	−4.99956	−	21.9045i	−0.181234	−	0.794038i	0.799810	−	0.600253i	$-0.204933\pi$
$762$	2.39510	−	0.546667i	0.0867655	−	0.0198037i
$763$	28.5303	+	11.9912i	1.03287	+	0.434111i
$764$	−4.66290	+	20.4295i	−0.168698	+	0.739113i
$765$	17.1653	+	14.9771i	0.620614	+	0.541500i
$766$	22.5071			0.813215
$767$	3.91633	+	0.893877i	0.141411	+	0.0322760i
$768$	0.0985255	+	0.204590i	0.00355523	+	0.00738252i
$769$	−22.4036	−	28.0932i	−0.807895	−	1.01307i	−0.999501	−	0.0315961i	$-0.989941\pi$
$769$	−22.4036	−	28.0932i	−0.807895	−	1.01307i	0.191606	−	0.981472i	$-0.438630\pi$
$770$	−8.55518	−	6.72937i	−0.308307	−	0.242510i
$771$	−1.62726	+	2.04052i	−0.0586042	+	0.0734874i
$772$	23.1409	+	5.28176i	0.832860	+	0.190095i
$773$	−30.2137	−	24.0946i	−1.08671	−	0.866623i	−0.0950464	−	0.995473i	$-0.530300\pi$
$773$	−30.2137	−	24.0946i	−1.08671	−	0.866623i	−0.991664	+	0.128850i	$0.958871\pi$
$774$	−14.8481	+	7.15049i	−0.533706	+	0.257019i
$775$	18.4490	−	19.3467i	0.662709	−	0.694955i
$776$	10.5730	+	5.09167i	0.379547	+	0.182780i
$777$	2.68502	+	1.12851i	0.0963246	+	0.0404850i
$778$	13.8269	+	28.7119i	0.495718	+	1.02937i
$779$	−17.8259	−	8.58450i	−0.638679	−	0.307572i
$780$	−0.119215	−	0.0640519i	−0.00426858	−	0.00229343i
$781$	−11.0515	−	5.32214i	−0.395455	−	0.190441i
$782$	15.1457	+	12.0783i	0.541608	+	0.431918i
$783$			6.85226i			0.244880i
$784$	3.78545	−	5.88815i	0.135195	−	0.210291i
$785$	12.4814	+	10.8903i	0.445481	+	0.388692i
$786$	1.05911	−	1.32809i	0.0377773	−	0.0473713i
$787$	−3.10489	+	6.44738i	−0.110677	+	0.229824i	−0.948949	−	0.315428i	$-0.897852\pi$
$787$	−3.10489	+	6.44738i	−0.110677	+	0.229824i	0.838272	+	0.545252i	$0.183566\pi$
$788$	9.34446	−	2.13281i	0.332883	−	0.0759783i
$789$	3.72718	+	1.79492i	0.132691	+	0.0639007i
$790$	19.0086	+	5.23268i	0.676296	+	0.186170i
$791$	−18.1258	−	13.0027i	−0.644479	−	0.462322i
$792$	2.35367	−	4.88744i	0.0836340	−	0.173668i
$793$	−2.49506	+	1.98975i	−0.0886023	+	0.0706579i
$794$	15.3274	−	7.38130i	0.543950	−	0.261952i
$795$	−0.883692	−	4.85149i	−0.0313413	−	0.172065i
$796$	−2.43565	+	10.6713i	−0.0863294	+	0.378234i
$797$	−34.9361	−	27.8606i	−1.23750	−	0.986872i	−0.999880	−	0.0155137i	$-0.995062\pi$
$797$	−34.9361	−	27.8606i	−1.23750	−	0.986872i	−0.237619	−	0.971358i	$-0.576367\pi$
$798$	−3.21643	−	3.63694i	−0.113860	−	0.128746i
$799$	−16.8099	−	21.0789i	−0.594691	−	0.745719i
$800$	4.16926	−	2.75994i	0.147406	−	0.0975785i
$801$	5.67768	−	24.8756i	0.200611	−	0.878935i
$802$		−	2.52133i		−	0.0890313i
$803$		−	16.5301i		−	0.583336i
$804$	−0.0164919	+	0.0722559i	−0.000581626	+	0.00254827i
$805$	26.0695	+	20.5059i	0.918829	+	0.722736i
$806$	0.317098	+	1.38930i	0.0111693	+	0.0489358i
$807$	4.90995	−	1.12067i	0.172839	−	0.0394493i
$808$	0.183159	−	0.146064i	0.00644350	−	0.00513852i
$809$	32.9266	+	41.2887i	1.15764	+	1.45163i	0.869424	+	0.494066i	$0.164490\pi$
$809$	32.9266	+	41.2887i	1.15764	+	1.45163i	0.288214	+	0.957566i	$0.406939\pi$
$810$	−9.03651	+	16.8190i	−0.317511	+	0.590959i
$811$	3.93631	+	17.2461i	0.138222	+	0.605592i	0.995825	+	0.0912796i	$0.0290957\pi$
$811$	3.93631	+	17.2461i	0.138222	+	0.605592i	−0.857603	+	0.514312i	$0.828047\pi$
$812$	−3.64870	−	12.9162i	−0.128044	−	0.453268i
$813$	1.03589	+	0.236436i	0.0363303	+	0.00829216i
$814$	−8.91923			−0.312619
$815$	−21.8563	−	19.0701i	−0.765591	−	0.667995i
$816$	−0.174597	+	0.764961i	−0.00611213	+	0.0267790i
$817$	−19.5986	−	40.6969i	−0.685668	−	1.42380i
$818$	12.1413	−	9.68233i	0.424509	−	0.338535i
$819$	−2.00083	+	0.565217i	−0.0699147	+	0.0197503i
$820$	0.981033	+	5.38590i	0.0342592	+	0.188084i
$821$	−5.18095	+	22.6992i	−0.180816	+	0.792208i	0.800426	+	0.599431i	$0.204606\pi$
$821$	−5.18095	+	22.6992i	−0.180816	+	0.792208i	−0.981243	+	0.192777i	$0.938251\pi$
$822$	0.926699	+	0.739017i	0.0323223	+	0.0257762i
$823$	−12.2270	−	25.3897i	−0.426208	−	0.885030i	−0.997913	−	0.0645705i	$-0.979432\pi$
$823$	−12.2270	−	25.3897i	−0.426208	−	0.885030i	0.571705	−	0.820459i	$-0.306282\pi$
$824$	−0.426218	−	0.534460i	−0.0148480	−	0.0186188i
$825$	1.98754	+	0.642920i	0.0691972	+	0.0223836i
$826$	−2.02954	−	39.8246i	−0.0706168	−	1.38567i
$827$	3.48398	+	7.23456i	0.121150	+	0.251570i	0.952720	−	0.303849i	$-0.0982719\pi$
$827$	3.48398	+	7.23456i	0.121150	+	0.251570i	−0.831570	+	0.555420i	$0.812558\pi$
$828$	−7.17214	+	14.8931i	−0.249249	+	0.517571i
$829$	−5.14446	−	22.5394i	−0.178675	−	0.782825i	−0.982243	−	0.187612i	$-0.939925\pi$
$829$	−5.14446	−	22.5394i	−0.178675	−	0.782825i	0.803569	−	0.595212i	$-0.202932\pi$
$830$	−33.8431	+	14.4914i	−1.17471	+	0.503003i
$831$	4.46642	−	5.60071i	0.154938	−	0.194287i
$832$			0.266527i			0.00924017i
$833$	22.9117	−	7.75157i	0.793843	−	0.268576i
$834$	−1.63684			−0.0566792
$835$	12.3734	−	2.25380i	0.428200	−	0.0779959i
$836$	13.3959	+	6.45111i	0.463306	+	0.223116i
$837$	−7.04095	+	1.60705i	−0.243371	+	0.0555478i
$838$	14.6058	−	30.3293i	0.504549	−	1.04771i
$839$	11.2356	−	5.41076i	0.387894	−	0.186800i	−0.229764	−	0.973246i	$-0.573796\pi$
$839$	11.2356	−	5.41076i	0.387894	−	0.186800i	0.617659	+	0.786446i	$0.288081\pi$
$840$	−0.290167	+	1.31170i	−0.0100117	+	0.0452580i
$841$	2.94229	+	1.41693i	0.101458	+	0.0488598i
$842$	18.9481	−	15.1106i	0.652996	−	0.520747i
$843$	−0.187266	−	0.388861i	−0.00644977	−	0.0133931i
$844$	−4.63465	+	5.81167i	−0.159531	+	0.200046i
$845$	17.0082	+	23.3776i	0.585099	+	0.804214i
$846$	14.3438	−	17.9866i	0.493150	−	0.618391i
$847$	17.6837	−	9.65415i	0.607619	−	0.331721i
$848$	−7.59305	+	6.05525i	−0.260746	+	0.207938i
$849$	−2.79323	+	1.34515i	−0.0958634	+	0.0461654i
$850$	17.2092	+	1.52618i	0.590271	+	0.0523477i
$851$	27.1788			0.931679
$852$			1.51394i			0.0518667i
$853$	−11.9685	−	2.73172i	−0.409792	−	0.0935324i	0.0126550	−	0.999920i	$-0.495972\pi$
$853$	−11.9685	−	2.73172i	−0.409792	−	0.0935324i	−0.422447	+	0.906388i	$0.638829\pi$
$854$	25.7411	+	18.4655i	0.880841	+	0.631878i
$855$	−46.9339	−	25.2167i	−1.60510	−	0.862392i
$856$	3.75996	+	16.4734i	0.128513	+	0.563051i
$857$	17.2767	−	13.7777i	0.590160	−	0.470637i	−0.282297	−	0.959327i	$-0.591096\pi$
$857$	17.2767	−	13.7777i	0.590160	−	0.470637i	0.872458	+	0.488690i	$0.162525\pi$
$858$	−0.0870583	+	0.0694267i	−0.00297212	+	0.00237019i
$859$	−1.07246	−	4.69874i	−0.0365917	−	0.160319i	0.953331	−	0.301927i	$-0.0976299\pi$
$859$	−1.07246	−	4.69874i	−0.0365917	−	0.160319i	−0.989923	+	0.141608i	$0.954773\pi$
$860$	−5.91543	+	11.0099i	−0.201714	+	0.375436i
$861$	−1.19519	−	0.857377i	−0.0407319	−	0.0292193i
$862$	−4.65463	−	1.06239i	−0.158537	−	0.0361851i
$863$		−	46.8942i		−	1.59630i	−0.602461	−	0.798148i	$-0.705813\pi$
$863$		−	46.8942i		−	1.59630i	0.602461	−	0.798148i	$-0.294187\pi$
$864$	−1.35076			−0.0459538
$865$	4.18855	−	3.04735i	0.142415	−	0.103613i
$866$	24.2783	−	11.6918i	0.825011	−	0.397304i
$867$	0.898437	−	0.716480i	0.0305125	−	0.0243329i
$868$	12.4161	−	6.77837i	0.421429	−	0.230073i
$869$	10.1143	−	12.6830i	0.343105	−	0.430240i
$870$	1.51539	+	2.08290i	0.0513767	+	0.0706168i
$871$	−0.0542371	+	0.0680112i	−0.00183775	+	0.00230447i
$872$	5.07522	+	10.5388i	0.171869	+	0.356889i
$873$	−27.0515	+	21.5729i	−0.915555	+	0.730131i
$874$	−40.8201	−	19.6579i	−1.38076	−	0.664940i
$875$	29.4816	+	2.41584i	0.996659	+	0.0816702i
$876$	−1.83815	+	0.885207i	−0.0621054	+	0.0299084i
$877$	−24.0979	+	50.0398i	−0.813728	+	1.68972i	−0.0938887	+	0.995583i	$0.529930\pi$
$877$	−24.0979	+	50.0398i	−0.813728	+	1.68972i	−0.719839	+	0.694141i	$0.755785\pi$
$878$	17.3228	−	3.95381i	0.584616	−	0.133435i
$879$	−1.70123	−	0.819268i	−0.0573810	−	0.0276332i
$880$	−0.737230	−	4.04741i	−0.0248520	−	0.136438i
$881$	−30.3857			−1.02372			−0.511859	−	0.859069i	$-0.671043\pi$
$881$	−30.3857			−1.02372			−0.511859	+	0.859069i	$0.671043\pi$
$882$	10.7989	+	17.5884i	0.363619	+	0.592234i
$883$		−	19.0256i		−	0.640263i	−0.947373	−	0.320132i	$-0.896273\pi$
$883$		−	19.0256i		−	0.640263i	0.947373	−	0.320132i	$-0.103727\pi$
$884$	−0.574199	+	0.720023i	−0.0193124	+	0.0242170i
$885$	3.01238	+	7.03508i	0.101260	+	0.236482i
$886$	−0.297830	−	1.30488i	−0.0100058	−	0.0438383i
$887$	16.1343	−	33.5033i	0.541738	−	1.12493i	−0.432962	−	0.901412i	$-0.642532\pi$
$887$	16.1343	−	33.5033i	0.541738	−	1.12493i	0.974700	−	0.223518i	$-0.0717540\pi$
$888$	0.477635	+	0.991819i	0.0160284	+	0.0332833i
$889$	−1.45683	−	28.5866i	−0.0488606	−	0.958764i
$890$	−7.61688	−	17.7884i	−0.255318	−	0.596269i
$891$	9.79479	+	12.2823i	0.328138	+	0.411472i
$892$	5.55300	+	11.5309i	0.185928	+	0.386084i
$893$	49.2989	+	39.3146i	1.64973	+	1.31561i
$894$	−0.0534232	+	0.234062i	−0.00178674	+	0.00782822i
$895$	−2.27785	−	12.5055i	−0.0761402	−	0.418012i
$896$	2.54611	−	0.719254i	0.0850595	−	0.0240286i
$897$	0.265286	−	0.211558i	0.00885763	−	0.00706372i
$898$	4.19296	+	8.70678i	0.139921	+	0.290549i
$899$	6.03542	−	26.4429i	0.201293	−	0.881920i
$900$	1.99798	+	14.6062i	0.0665994	+	0.486872i
$901$	−33.5579			−1.11798
$902$	4.39151	+	1.00233i	0.146221	+	0.0333740i
$903$	−0.912911	−	3.23164i	−0.0303798	−	0.107542i
$904$	−1.87615	−	8.21996i	−0.0623999	−	0.273392i
$905$	16.9697	+	9.11746i	0.564090	+	0.303075i
$906$	−2.24197	−	2.81134i	−0.0744845	−	0.0934006i
$907$	−31.4299	+	25.0645i	−1.04361	+	0.832253i	−0.986110	−	0.166092i	$-0.946885\pi$
$907$	−31.4299	+	25.0645i	−1.04361	+	0.832253i	−0.0575021	+	0.998345i	$0.518314\pi$
$908$	4.55866	−	1.04048i	0.151284	−	0.0345297i
$909$	0.153701	+	0.673408i	0.00509794	+	0.0223355i
$910$	−0.974845	+	1.23934i	−0.0323158	+	0.0410837i
$911$	−2.43123	+	10.6519i	−0.0805501	+	0.352913i	−0.999101	−	0.0423893i	$-0.986503\pi$
$911$	−2.43123	+	10.6519i	−0.0805501	+	0.352913i	0.918551	+	0.395302i	$0.129360\pi$
$912$		−	1.83508i		−	0.0607657i
$913$			30.2915i			1.00250i
$914$	−2.03877	+	8.93245i	−0.0674366	+	0.295459i
$915$	−5.86172	−	1.61361i	−0.193783	−	0.0533444i
$916$	−16.6332	−	20.8574i	−0.549577	−	0.689148i
$917$	−13.1116	−	14.8258i	−0.432983	−	0.489591i
$918$	−3.64908	−	2.91004i	−0.120437	−	0.0960457i
$919$	−5.27870	+	23.1275i	−0.174128	+	0.762906i	0.810141	+	0.586234i	$0.199390\pi$
$919$	−5.27870	+	23.1275i	−0.174128	+	0.762906i	−0.984270	+	0.176672i	$0.943467\pi$
$920$	2.24650	+	12.3334i	0.0740649	+	0.406619i
$921$	3.36617	−	1.62106i	0.110919	−	0.0534158i
$922$	−24.6815	+	19.6828i	−0.812842	+	0.648220i
$923$	−0.770988	+	1.60097i	−0.0253774	+	0.0526967i
$924$	0.898163	+	0.644304i	0.0295474	+	0.0211960i
$925$	20.2119	−	13.3797i	0.664562	−	0.439922i
$926$	17.9473	+	8.64296i	0.589784	+	0.284025i
$927$	1.96502	−	0.448502i	0.0645396	−	0.0147307i
$928$	2.20105	−	4.57052i	0.0722529	−	0.150035i
$929$	11.5384	−	14.4687i	0.378563	−	0.474703i	−0.555651	−	0.831415i	$-0.687531\pi$
$929$	11.5384	−	14.4687i	0.378563	−	0.474703i	0.934214	+	0.356713i	$0.116102\pi$
$930$	−1.78485	+	2.04562i	−0.0585275	+	0.0670785i
$931$	−48.2077	+	29.5985i	−1.57994	+	0.970053i
$932$		−	17.2352i		−	0.564557i
$933$	−1.33321	−	1.06320i	−0.0436475	−	0.0348077i
$934$	−21.2881	−	10.2518i	−0.696568	−	0.335449i
$935$	6.72802	−	12.5224i	0.220030	−	0.409525i
$936$	−0.708016	−	0.340962i	−0.0231422	−	0.0111447i
$937$	2.23879	+	4.64889i	0.0731379	+	0.151872i	0.934332	−	0.356404i	$-0.115997\pi$
$937$	2.23879	+	4.64889i	0.0731379	+	0.151872i	−0.861194	+	0.508276i	$0.830283\pi$
$938$	0.796069	+	0.334586i	0.0259926	+	0.0109246i
$939$	−2.99540	−	1.44251i	−0.0977512	−	0.0470745i
$940$	0.771380	−	17.4303i	0.0251597	−	0.568512i
$941$	13.2124	−	6.36278i	0.430713	−	0.207421i	−0.205950	−	0.978563i	$-0.566028\pi$
$941$	13.2124	−	6.36278i	0.430713	−	0.207421i	0.636663	+	0.771142i	$0.280314\pi$
$942$	−1.31518	−	1.04882i	−0.0428507	−	0.0341723i
$943$	−13.3819	−	3.05433i	−0.435774	−	0.0994626i
$944$	9.39712	−	11.7836i	0.305850	−	0.383524i
$945$	−6.28097	−	4.94051i	−0.204320	−	0.160715i
$946$	6.41181	+	8.04015i	0.208466	+	0.261408i
$947$	−17.9010	−	37.1719i	−0.581706	−	1.20792i	−0.959414	−	0.282000i	$-0.909002\pi$
$947$	−17.9010	−	37.1719i	−0.581706	−	1.20792i	0.377709	−	0.925925i	$-0.376712\pi$
$948$	−1.95198	−	0.445526i	−0.0633973	−	0.0144700i
$949$	−2.39463			−0.0777329
$950$	−40.0336	+	5.47622i	−1.29886	+	0.177672i
$951$	−0.586160	+	2.56813i	−0.0190075	+	0.0832774i
$952$	8.42786	+	3.54221i	0.273148	+	0.114804i
$953$	−21.6029	+	4.93072i	−0.699787	+	0.159722i	−0.557590	−	0.830117i	$-0.688274\pi$
$953$	−21.6029	+	4.93072i	−0.699787	+	0.159722i	−0.142197	+	0.989838i	$0.545417\pi$
$954$	−6.37185	−	27.9169i	−0.206296	−	0.903843i
$955$	−46.8107	−	2.07162i	−1.51476	−	0.0670361i
$956$	0.963841	+	1.20862i	0.0311729	+	0.0390895i
$957$	2.06626	−	0.471609i	0.0667926	−	0.0152450i
$958$	18.5253	−	4.22827i	0.598525	−	0.136609i
$959$	10.3450	−	9.14888i	0.334057	−	0.295433i
$960$	−0.410593	+	0.298723i	−0.0132518	+	0.00964126i
$961$	−2.41350			−0.0778548
$962$			1.29208i			0.0416583i
$963$	−48.5709	−	11.0860i	−1.56517	−	0.357241i
$964$	−6.84631	+	3.29701i	−0.220505	+	0.106189i
$965$	−2.34657	+	53.0235i	−0.0755387	+	1.70689i
$966$	−2.73690	−	1.96333i	−0.0880583	−	0.0631692i
$967$	−4.12618	−	3.29052i	−0.132689	−	0.105816i	0.554896	−	0.831919i	$-0.312758\pi$
$967$	−4.12618	−	3.29052i	−0.132689	−	0.105816i	−0.687585	+	0.726104i	$0.741329\pi$
$968$	7.42406	+	1.69449i	0.238618	+	0.0544631i
$969$	3.95346	−	4.95748i	0.127003	−	0.159257i
$970$	−6.96440	+	25.2994i	−0.223614	+	0.812315i
$971$	4.53070	+	5.68132i	0.145397	+	0.182322i	0.849197	−	0.528076i	$-0.177086\pi$
$971$	4.53070	+	5.68132i	0.145397	+	0.182322i	−0.703800	+	0.710398i	$0.748515\pi$
$972$	2.59949	−	5.39789i	0.0833785	−	0.173137i
$973$	−3.29195	+	18.7850i	−0.105535	+	0.602221i
$974$	35.4026	−	17.0490i	1.13437	−	0.546285i
$975$	0.0931361	−	0.287923i	0.00298274	−	0.00922093i
$976$	2.66439	+	11.6734i	0.0852850	+	0.373658i
$977$	3.45465	−	7.17365i	0.110524	−	0.229505i	−0.838369	−	0.545103i	$-0.816491\pi$
$977$	3.45465	−	7.17365i	0.110524	−	0.229505i	0.948893	+	0.315597i	$0.102205\pi$
$978$	2.30301	+	1.83659i	0.0736420	+	0.0587276i
$979$	−15.9217			−0.508859
$980$	14.4700	+	5.96810i	0.462228	+	0.190644i
$981$	−34.4884			−1.10113
$982$	9.97164	+	7.95212i	0.318208	+	0.253762i
$983$	−2.93843	+	6.10172i	−0.0937215	+	0.194615i	−0.942559	−	0.334038i	$-0.891588\pi$
$983$	−2.93843	+	6.10172i	−0.0937215	+	0.194615i	0.848838	+	0.528653i	$0.177303\pi$
$984$	−0.123711	−	0.542012i	−0.00394375	−	0.0172787i
$985$	8.43627	+	19.7020i	0.268802	+	0.627758i
$986$	15.7928	−	7.60539i	0.502944	−	0.242205i
$987$	3.10554	+	3.51155i	0.0988503	+	0.111774i
$988$	0.934535	−	1.94058i	0.0297315	−	0.0617382i
$989$	−19.5382	−	24.5001i	−0.621278	−	0.779058i
$990$	11.6949	+	3.21936i	0.371687	+	0.102318i
$991$	−14.5121	+	18.1975i	−0.460991	+	0.578064i	−0.956939	−	0.290288i	$-0.906249\pi$
$991$	−14.5121	+	18.1975i	−0.460991	+	0.578064i	0.495949	+	0.868352i	$0.334820\pi$
$992$	5.21258	+	1.18974i	0.165500	+	0.0377742i
$993$	−3.80139	−	3.03151i	−0.120634	−	0.0962020i
$994$	17.3746	+	3.04477i	0.551087	+	0.0965742i
$995$	−24.4514	−	1.08211i	−0.775163	−	0.0343050i
$996$	3.36842	−	1.62215i	0.106732	−	0.0513997i
$997$	−38.4130	−	8.76753i	−1.21655	−	0.277670i	−0.434379	−	0.900730i	$-0.643032\pi$
$997$	−38.4130	−	8.76753i	−1.21655	−	0.277670i	−0.782174	+	0.623060i	$0.785889\pi$
$998$		−	24.1997i		−	0.766028i
$999$	−6.54825			−0.207177

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	490.2.p.a.239.8	✓	168
5.4	even	2	inner	490.2.p.a.239.21	yes	168
49.8	even	7	inner	490.2.p.a.449.21	yes	168
245.204	even	14	inner	490.2.p.a.449.8	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
490.2.p.a.239.8	✓	168	1.1	even	1	trivial
490.2.p.a.239.21	yes	168	5.4	even	2	inner
490.2.p.a.449.8	yes	168	245.204	even	14	inner
490.2.p.a.449.21	yes	168	49.8	even	7	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:	\( N \)	\(=\)	\( 490 = 2 \cdot 5 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	490.p (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.781831 - 0.623490i) q^{2} +(-0.0985255 + 0.204590i) q^{3} +(0.222521 + 0.974928i) q^{4} +(-2.05555 + 0.880174i) q^{5} +(0.204590 - 0.0985255i) q^{6} +(-0.719254 - 2.54611i) q^{7} +(0.433884 - 0.900969i) q^{8} +(1.83832 + 2.30518i) q^{9} +O(q^{10})\)	\(q+(-0.781831 - 0.623490i) q^{2} +(-0.0985255 + 0.204590i) q^{3} +(0.222521 + 0.974928i) q^{4} +(-2.05555 + 0.880174i) q^{5} +(0.204590 - 0.0985255i) q^{6} +(-0.719254 - 2.54611i) q^{7} +(0.433884 - 0.900969i) q^{8} +(1.83832 + 2.30518i) q^{9} +(2.15587 + 0.593468i) q^{10} +(1.14712 - 1.43845i) q^{11} +(-0.221385 - 0.0505296i) q^{12} +(-0.208379 - 0.166177i) q^{13} +(-1.02514 + 2.43908i) q^{14} +(0.0224492 - 0.507265i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(-3.36872 - 0.768887i) q^{17} -2.94844i q^{18} +8.08129 q^{19} +(-1.31551 - 1.80816i) q^{20} +(0.591774 + 0.103704i) q^{21} +(-1.79371 + 0.409403i) q^{22} +(5.46583 - 1.24754i) q^{23} +(0.141581 + 0.177537i) q^{24} +(3.45059 - 3.61849i) q^{25} +(0.0593079 + 0.259845i) q^{26} +(-1.31689 + 0.300572i) q^{27} +(2.32222 - 1.26778i) q^{28} +(1.12883 - 4.94571i) q^{29} +(-0.333826 + 0.382599i) q^{30} +5.34663 q^{31} +(0.974928 + 0.222521i) q^{32} +(0.181271 + 0.376413i) q^{33} +(2.15437 + 2.70150i) q^{34} +(3.71948 + 4.60059i) q^{35} +(-1.83832 + 2.30518i) q^{36} +(4.72628 + 1.07874i) q^{37} +(-6.31821 - 5.03860i) q^{38} +(0.0545289 - 0.0262597i) q^{39} +(-0.0988610 + 2.23388i) q^{40} +(-2.20582 - 1.06227i) q^{41} +(-0.398009 - 0.450044i) q^{42} +(-2.42518 - 5.03594i) q^{43} +(1.65764 + 0.798277i) q^{44} +(-5.80772 - 3.12038i) q^{45} +(-5.05119 - 2.43252i) q^{46} +(6.10038 + 4.86489i) q^{47} -0.227078i q^{48} +(-5.96535 + 3.66260i) q^{49} +(-4.95387 + 0.677642i) q^{50} +(0.489211 - 0.613451i) q^{51} +(0.115642 - 0.240133i) q^{52} +(9.46838 - 2.16109i) q^{53} +(1.21699 + 0.586072i) q^{54} +(-1.09189 + 3.96647i) q^{55} +(-2.60604 - 0.456690i) q^{56} +(-0.796213 + 1.65335i) q^{57} +(-3.96615 + 3.16290i) q^{58} +(-13.5792 + 6.53941i) q^{59} +(0.499543 - 0.0909909i) q^{60} +(2.66439 - 11.6734i) q^{61} +(-4.18017 - 3.33357i) q^{62} +(4.54702 - 6.33857i) q^{63} +(-0.623490 - 0.781831i) q^{64} +(0.574599 + 0.158175i) q^{65} +(0.0929665 - 0.407313i) q^{66} -0.326381i q^{67} -3.45535i q^{68} +(-0.283289 + 1.24117i) q^{69} +(-0.0395876 - 5.91595i) q^{70} +(-1.48356 - 6.49988i) q^{71} +(2.87451 - 0.656089i) q^{72} +(7.02441 - 5.60178i) q^{73} +(-3.02257 - 3.79018i) q^{74} +(0.400337 + 1.06247i) q^{75} +(1.79826 + 7.87868i) q^{76} +(-4.48751 - 1.88609i) q^{77} +(-0.0590051 - 0.0134675i) q^{78} +8.81712 q^{79} +(1.47009 - 1.68488i) q^{80} +(-1.90001 + 8.32450i) q^{81} +(1.06227 + 2.20582i) q^{82} +(-12.8722 + 10.2653i) q^{83} +(0.0305779 + 0.600013i) q^{84} +(7.60132 - 1.38457i) q^{85} +(-1.24377 + 5.44933i) q^{86} +(0.900626 + 0.718225i) q^{87} +(-0.798277 - 1.65764i) q^{88} +(-5.39558 - 6.76584i) q^{89} +(2.59514 + 6.06066i) q^{90} +(-0.273227 + 0.650080i) q^{91} +(2.43252 + 5.05119i) q^{92} +(-0.526780 + 1.09387i) q^{93} +(-1.73626 - 7.60705i) q^{94} +(-16.6115 + 7.11294i) q^{95} +(-0.141581 + 0.177537i) q^{96} +11.7351i q^{97} +(6.94749 + 0.855798i) q^{98} +5.42465 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q + 28 q^{4} - 4 q^{5} + 14 q^{6} + 18 q^{9}+O(q^{10}) \) 168 * q + 28 * q^4 - 4 * q^5 + 14 * q^6 + 18 * q^9	\( 168 q + 28 q^{4} - 4 q^{5} + 14 q^{6} + 18 q^{9} - 4 q^{10} - 24 q^{11} + 4 q^{14} - 2 q^{15} - 28 q^{16} + 44 q^{19} - 10 q^{20} + 22 q^{26} - 2 q^{29} - 12 q^{30} - 16 q^{31} - 8 q^{34} - 4 q^{35} - 18 q^{36} - 80 q^{39} - 10 q^{40} + 52 q^{41} - 18 q^{44} - 72 q^{45} + 26 q^{46} - 52 q^{49} - 8 q^{50} + 64 q^{51} - 42 q^{54} - 60 q^{55} + 10 q^{56} - 58 q^{59} + 2 q^{60} + 32 q^{61} + 28 q^{64} + 4 q^{65} + 48 q^{66} - 48 q^{69} + 18 q^{70} - 68 q^{71} - 10 q^{74} - 16 q^{76} - 4 q^{80} + 34 q^{81} + 84 q^{84} - 48 q^{85} - 64 q^{86} + 100 q^{89} + 54 q^{90} + 78 q^{91} - 86 q^{94} - 64 q^{95} - 212 q^{99}+O(q^{100}) \) 168 * q + 28 * q^4 - 4 * q^5 + 14 * q^6 + 18 * q^9 - 4 * q^10 - 24 * q^11 + 4 * q^14 - 2 * q^15 - 28 * q^16 + 44 * q^19 - 10 * q^20 + 22 * q^26 - 2 * q^29 - 12 * q^30 - 16 * q^31 - 8 * q^34 - 4 * q^35 - 18 * q^36 - 80 * q^39 - 10 * q^40 + 52 * q^41 - 18 * q^44 - 72 * q^45 + 26 * q^46 - 52 * q^49 - 8 * q^50 + 64 * q^51 - 42 * q^54 - 60 * q^55 + 10 * q^56 - 58 * q^59 + 2 * q^60 + 32 * q^61 + 28 * q^64 + 4 * q^65 + 48 * q^66 - 48 * q^69 + 18 * q^70 - 68 * q^71 - 10 * q^74 - 16 * q^76 - 4 * q^80 + 34 * q^81 + 84 * q^84 - 48 * q^85 - 64 * q^86 + 100 * q^89 + 54 * q^90 + 78 * q^91 - 86 * q^94 - 64 * q^95 - 212 * q^99

Introduction

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