LMFDB - Embedded newform 504.2.w.a.205.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(205,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(504, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 4, 2]))

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

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

chi := DirichletCharacter("504.205");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.w (of order $6$, degree $2$, 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:	$4.02446026187$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$92$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			205.19
Character	$\chi$	$=$	504.205
Dual form			504.2.w.a.445.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.12540 - 0.856430i) q^{2} +(1.26962 + 1.17816i) q^{3} +(0.533054 + 1.92765i) q^{4} -2.29636i q^{5} +(-0.419826 - 2.41324i) q^{6} +(-2.07761 + 1.63815i) q^{7} +(1.05100 - 2.62591i) q^{8} +(0.223889 + 2.99163i) q^{9} +O(q^{10})$	\(q+(-1.12540 - 0.856430i) q^{2} +(1.26962 + 1.17816i) q^{3} +(0.533054 + 1.92765i) q^{4} -2.29636i q^{5} +(-0.419826 - 2.41324i) q^{6} +(-2.07761 + 1.63815i) q^{7} +(1.05100 - 2.62591i) q^{8} +(0.223889 + 2.99163i) q^{9} +(-1.96667 + 2.58432i) q^{10} +5.37779i q^{11} +(-1.59430 + 3.07542i) q^{12} +(-3.76935 + 2.17623i) q^{13} +(3.74111 - 0.0642422i) q^{14} +(2.70547 - 2.91551i) q^{15} +(-3.43171 + 2.05509i) q^{16} +(0.373271 + 0.646525i) q^{17} +(2.31016 - 3.55853i) q^{18} +(0.143983 + 0.0831286i) q^{19} +(4.42659 - 1.22408i) q^{20} +(-4.56778 - 0.367925i) q^{21} +(4.60570 - 6.05217i) q^{22} +7.84371 q^{23} +(4.42811 - 2.09567i) q^{24} -0.273259 q^{25} +(6.10582 + 0.779048i) q^{26} +(-3.24036 + 4.06203i) q^{27} +(-4.26526 - 3.13170i) q^{28} +(-6.74853 - 3.89626i) q^{29} +(-5.54167 + 0.964070i) q^{30} +(-2.84963 + 4.93570i) q^{31} +(5.62209 + 0.626217i) q^{32} +(-6.33588 + 6.82777i) q^{33} +(0.133624 - 1.04728i) q^{34} +(3.76177 + 4.77094i) q^{35} +(-5.64749 + 2.02628i) q^{36} +(3.98464 + 2.30053i) q^{37} +(-0.0908447 - 0.216864i) q^{38} +(-7.34960 - 1.67789i) q^{39} +(-6.03003 - 2.41348i) q^{40} +(2.54038 + 4.40007i) q^{41} +(4.82548 + 4.32605i) q^{42} +(-0.147478 - 0.0851467i) q^{43} +(-10.3665 + 2.86665i) q^{44} +(6.86986 - 0.514129i) q^{45} +(-8.82732 - 6.71759i) q^{46} +(2.39779 + 4.15309i) q^{47} +(-6.77820 - 1.43390i) q^{48} +(1.63295 - 6.80687i) q^{49} +(0.307526 + 0.234028i) q^{50} +(-0.287794 + 1.26062i) q^{51} +(-6.20429 - 6.10595i) q^{52} +(0.308355 - 0.178029i) q^{53} +(7.12555 - 1.79626i) q^{54} +12.3493 q^{55} +(2.11805 + 7.17732i) q^{56} +(0.0848655 + 0.275177i) q^{57} +(4.25792 + 10.1645i) q^{58} +(-10.4130 - 6.01193i) q^{59} +(7.06226 + 3.66109i) q^{60} +(-3.93612 + 2.27252i) q^{61} +(7.43406 - 3.11413i) q^{62} +(-5.36589 - 5.84869i) q^{63} +(-5.79079 - 5.51967i) q^{64} +(4.99741 + 8.65577i) q^{65} +(12.9779 - 2.25773i) q^{66} +(7.45859 + 4.30622i) q^{67} +(-1.04730 + 1.06417i) q^{68} +(9.95857 + 9.24113i) q^{69} +(-0.147523 - 8.59092i) q^{70} +12.5155 q^{71} +(8.09106 + 2.55630i) q^{72} +(3.38714 + 5.86670i) q^{73} +(-2.51407 - 6.00159i) q^{74} +(-0.346936 - 0.321943i) q^{75} +(-0.0834925 + 0.321861i) q^{76} +(-8.80961 - 11.1730i) q^{77} +(6.83425 + 8.18271i) q^{78} +(-6.02872 - 10.4421i) q^{79} +(4.71922 + 7.88043i) q^{80} +(-8.89975 + 1.33959i) q^{81} +(0.909406 - 7.12751i) q^{82} +(0.870485 + 0.502575i) q^{83} +(-1.72564 - 9.00123i) q^{84} +(1.48465 - 0.857164i) q^{85} +(0.0930502 + 0.222129i) q^{86} +(-3.97768 - 12.8976i) q^{87} +(14.1216 + 5.65207i) q^{88} +(6.87051 - 11.9001i) q^{89} +(-8.17166 - 5.30496i) q^{90} +(4.26625 - 10.6961i) q^{91} +(4.18113 + 15.1200i) q^{92} +(-9.43299 + 2.90917i) q^{93} +(0.858359 - 6.72742i) q^{94} +(0.190893 - 0.330636i) q^{95} +(6.40015 + 7.41876i) q^{96} +(-6.73904 + 11.6724i) q^{97} +(-7.66733 + 6.26195i) q^{98} +(-16.0884 + 1.20403i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) $ 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	$ 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} - 17 q^{12} - 7 q^{14} - 2 q^{15} + q^{16} - 4 q^{17} + 13 q^{18} + 6 q^{20} + 2 q^{22} - 4 q^{23} + 12 q^{24} - 156 q^{25} - 4 q^{26} - 8 q^{28} - 18 q^{30} + 2 q^{31} + q^{32} + 22 q^{33} - 18 q^{36} + 10 q^{38} - 14 q^{39} + 8 q^{40} - 4 q^{41} + 3 q^{42} + 17 q^{44} - 6 q^{46} + 42 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} - 18 q^{52} - 58 q^{54} + 4 q^{55} - 34 q^{56} - 20 q^{57} - 10 q^{58} + 26 q^{60} + 32 q^{62} + 50 q^{63} - 8 q^{64} + 22 q^{65} + 79 q^{66} + 24 q^{68} + 8 q^{70} - 16 q^{71} - 27 q^{72} - 4 q^{73} - 38 q^{74} - 6 q^{76} - 47 q^{78} + 2 q^{79} - 11 q^{80} + 6 q^{81} + q^{84} + 46 q^{86} + 4 q^{87} + 14 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} + 9 q^{94} + 22 q^{95} - 16 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) $ 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 - 17 * q^12 - 7 * q^14 - 2 * q^15 + q^16 - 4 * q^17 + 13 * q^18 + 6 * q^20 + 2 * q^22 - 4 * q^23 + 12 * q^24 - 156 * q^25 - 4 * q^26 - 8 * q^28 - 18 * q^30 + 2 * q^31 + q^32 + 22 * q^33 - 18 * q^36 + 10 * q^38 - 14 * q^39 + 8 * q^40 - 4 * q^41 + 3 * q^42 + 17 * q^44 - 6 * q^46 + 42 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 - 18 * q^52 - 58 * q^54 + 4 * q^55 - 34 * q^56 - 20 * q^57 - 10 * q^58 + 26 * q^60 + 32 * q^62 + 50 * q^63 - 8 * q^64 + 22 * q^65 + 79 * q^66 + 24 * q^68 + 8 * q^70 - 16 * q^71 - 27 * q^72 - 4 * q^73 - 38 * q^74 - 6 * q^76 - 47 * q^78 + 2 * q^79 - 11 * q^80 + 6 * q^81 + q^84 + 46 * q^86 + 4 * q^87 + 14 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 + 9 * q^94 + 22 * q^95 - 16 * q^96 - 4 * q^97 - 83 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/504\mathbb{Z}\right)^\times$.

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$1$	$-1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−1.12540	−	0.856430i	−0.795779	−	0.605588i
$2$	−1.12540	−	0.856430i	−0.795779	−	0.605588i
$3$	1.26962	+	1.17816i	0.733018	+	0.680210i
$3$	1.26962	+	1.17816i	0.733018	+	0.680210i
$4$	0.533054	+	1.92765i	0.266527	+	0.963827i
$5$		−	2.29636i		−	1.02696i	−0.858101	−	0.513481i	$-0.828356\pi$
$5$		−	2.29636i		−	1.02696i	0.858101	−	0.513481i	$-0.171644\pi$
$6$	−0.419826	−	2.41324i	−0.171393	−	0.985203i
$7$	−2.07761	+	1.63815i	−0.785264	+	0.619161i
$7$	−2.07761	+	1.63815i	−0.785264	+	0.619161i
$8$	1.05100	−	2.62591i	0.371585	−	0.928399i
$9$	0.223889	+	2.99163i	0.0746296	+	0.997211i
$10$	−1.96667	+	2.58432i	−0.621916	+	0.817235i
$11$			5.37779i			1.62146i	0.585417	+	0.810732i	$0.300931\pi$
$11$			5.37779i			1.62146i	−0.585417	+	0.810732i	$0.699069\pi$
$12$	−1.59430	+	3.07542i	−0.460236	+	0.887797i
$13$	−3.76935	+	2.17623i	−1.04543	+	0.603579i	−0.921366	−	0.388696i	$-0.872926\pi$
$13$	−3.76935	+	2.17623i	−1.04543	+	0.603579i	−0.124063	+	0.992274i	$0.539592\pi$
$14$	3.74111	−	0.0642422i	0.999853	−	0.0171695i
$15$	2.70547	−	2.91551i	0.698550	−	0.752782i
$16$	−3.43171	+	2.05509i	−0.857927	+	0.513772i
$17$	0.373271	+	0.646525i	0.0905316	+	0.156805i	0.907735	−	0.419544i	$-0.137810\pi$
$17$	0.373271	+	0.646525i	0.0905316	+	0.156805i	−0.817203	+	0.576349i	$0.804477\pi$
$18$	2.31016	−	3.55853i	0.544510	−	0.838754i
$19$	0.143983	+	0.0831286i	0.0330319	+	0.0190710i	0.516425	−	0.856332i	$-0.327262\pi$
$19$	0.143983	+	0.0831286i	0.0330319	+	0.0190710i	−0.483393	+	0.875403i	$0.660596\pi$
$20$	4.42659	−	1.22408i	0.989815	−	0.273713i
$21$	−4.56778	−	0.367925i	−0.996772	−	0.0802877i
$22$	4.60570	−	6.05217i	0.981939	−	1.29033i
$23$	7.84371			1.63553			0.817764	−	0.575554i	$-0.195214\pi$
$23$	7.84371			1.63553			0.817764	+	0.575554i	$0.195214\pi$
$24$	4.42811	−	2.09567i	0.903884	−	0.427777i
$25$	−0.273259			−0.0546519
$26$	6.10582	+	0.779048i	1.19745	+	0.152784i
$27$	−3.24036	+	4.06203i	−0.623608	+	0.781737i
$28$	−4.26526	−	3.13170i	−0.806059	−	0.591835i
$29$	−6.74853	−	3.89626i	−1.25317	−	0.723518i	−0.281432	−	0.959581i	$-0.590809\pi$
$29$	−6.74853	−	3.89626i	−1.25317	−	0.723518i	−0.971738	+	0.236063i	$0.924143\pi$
$30$	−5.54167	+	0.964070i	−1.01177	+	0.176014i
$31$	−2.84963	+	4.93570i	−0.511808	+	0.886478i	0.488098	+	0.872789i	$0.337691\pi$
$31$	−2.84963	+	4.93570i	−0.511808	+	0.886478i	−0.999906	+	0.0136891i	$0.995642\pi$
$32$	5.62209	+	0.626217i	0.993854	+	0.110701i
$33$	−6.33588	+	6.82777i	−1.10294	+	1.18856i
$34$	0.133624	−	1.04728i	0.0229163	−	0.179607i
$35$	3.76177	+	4.77094i	0.635856	+	0.806436i
$36$	−5.64749	+	2.02628i	−0.941249	+	0.337714i
$37$	3.98464	+	2.30053i	0.655071	+	0.378206i	0.790396	−	0.612596i	$-0.209875\pi$
$37$	3.98464	+	2.30053i	0.655071	+	0.378206i	−0.135325	+	0.990801i	$0.543208\pi$
$38$	−0.0908447	−	0.216864i	−0.0147370	−	0.0351800i
$39$	−7.34960	−	1.67789i	−1.17688	−	0.268677i
$40$	−6.03003	−	2.41348i	−0.953431	−	0.381604i
$41$	2.54038	+	4.40007i	0.396741	+	0.687176i	0.993322	−	0.115377i	$-0.0368077\pi$
$41$	2.54038	+	4.40007i	0.396741	+	0.687176i	−0.596580	+	0.802553i	$0.703474\pi$
$42$	4.82548	+	4.32605i	0.744588	+	0.667524i
$43$	−0.147478	−	0.0851467i	−0.0224903	−	0.0129848i	0.488713	−	0.872445i	$-0.337467\pi$
$43$	−0.147478	−	0.0851467i	−0.0224903	−	0.0129848i	−0.511203	+	0.859460i	$0.670800\pi$
$44$	−10.3665	+	2.86665i	−1.56281	+	0.432164i
$45$	6.86986	−	0.514129i	1.02410	−	0.0766418i
$46$	−8.82732	−	6.71759i	−1.30152	−	0.990455i
$47$	2.39779	+	4.15309i	0.349753	+	0.605790i	0.986205	−	0.165526i	$-0.0529322\pi$
$47$	2.39779	+	4.15309i	0.349753	+	0.605790i	−0.636452	+	0.771316i	$0.719599\pi$
$48$	−6.77820	−	1.43390i	−0.978348	−	0.206966i
$49$	1.63295	−	6.80687i	0.233278	−	0.972410i
$50$	0.307526	+	0.234028i	0.0434908	+	0.0330965i
$51$	−0.287794	+	1.26062i	−0.0402992	+	0.176521i
$52$	−6.20429	−	6.10595i	−0.860381	−	0.846743i
$53$	0.308355	−	0.178029i	0.0423558	−	0.0244541i	−0.478673	−	0.877993i	$-0.658882\pi$
$53$	0.308355	−	0.178029i	0.0423558	−	0.0244541i	0.521028	+	0.853539i	$0.325549\pi$
$54$	7.12555	−	1.79626i	0.969664	−	0.244440i
$55$	12.3493			1.66518
$56$	2.11805	+	7.17732i	0.283036	+	0.959109i
$57$	0.0848655	+	0.275177i	0.0112407	+	0.0364480i
$58$	4.25792	+	10.1645i	0.559092	+	1.33466i
$59$	−10.4130	−	6.01193i	−1.35565	−	0.782686i	−0.366618	−	0.930372i	$-0.619484\pi$
$59$	−10.4130	−	6.01193i	−1.35565	−	0.782686i	−0.989034	+	0.147686i	$0.952818\pi$
$60$	7.06226	+	3.66109i	0.911734	+	0.472645i
$61$	−3.93612	+	2.27252i	−0.503968	+	0.290966i	−0.730351	−	0.683072i	$-0.760643\pi$
$61$	−3.93612	+	2.27252i	−0.503968	+	0.290966i	0.226383	+	0.974038i	$0.427310\pi$
$62$	7.43406	−	3.11413i	0.944126	−	0.395495i
$63$	−5.36589	−	5.84869i	−0.676039	−	0.736866i
$64$	−5.79079	−	5.51967i	−0.723849	−	0.689959i
$65$	4.99741	+	8.65577i	0.619852	+	1.07362i
$66$	12.9779	−	2.25773i	1.59747	−	0.277908i
$67$	7.45859	+	4.30622i	0.911212	+	0.526088i	0.880821	−	0.473450i	$-0.156991\pi$
$67$	7.45859	+	4.30622i	0.911212	+	0.526088i	0.0303910	+	0.999538i	$0.490325\pi$
$68$	−1.04730	+	1.06417i	−0.127004	+	0.129050i
$69$	9.95857	+	9.24113i	1.19887	+	1.11250i
$70$	−0.147523	−	8.59092i	−0.0176324	−	1.02681i
$71$	12.5155			1.48532			0.742661	−	0.669668i	$-0.233564\pi$
$71$	12.5155			1.48532			0.742661	+	0.669668i	$0.233564\pi$
$72$	8.09106	+	2.55630i	0.953541	+	0.301263i
$73$	3.38714	+	5.86670i	0.396435	+	0.686645i	0.993283	−	0.115709i	$-0.0369140\pi$
$73$	3.38714	+	5.86670i	0.396435	+	0.686645i	−0.596848	+	0.802354i	$0.703581\pi$
$74$	−2.51407	−	6.00159i	−0.292255	−	0.697671i
$75$	−0.346936	−	0.321943i	−0.0400608	−	0.0371747i
$76$	−0.0834925	+	0.321861i	−0.00957724	+	0.0369200i
$77$	−8.80961	−	11.1730i	−1.00395	−	1.27328i
$78$	6.83425	+	8.18271i	0.773827	+	0.926510i
$79$	−6.02872	−	10.4421i	−0.678285	−	1.17482i	−0.975497	−	0.220012i	$-0.929390\pi$
$79$	−6.02872	−	10.4421i	−0.678285	−	1.17482i	0.297213	−	0.954811i	$-0.403943\pi$
$80$	4.71922	+	7.88043i	0.527625	+	0.881058i
$81$	−8.89975	+	1.33959i	−0.988861	+	0.148843i
$82$	0.909406	−	7.12751i	0.100427	−	0.787102i
$83$	0.870485	+	0.502575i	0.0955482	+	0.0551648i	0.547013	−	0.837124i	$-0.315765\pi$
$83$	0.870485	+	0.502575i	0.0955482	+	0.0551648i	−0.451465	+	0.892289i	$0.649098\pi$
$84$	−1.72564	−	9.00123i	−0.188283	−	0.982115i
$85$	1.48465	−	0.857164i	0.161033	−	0.0929725i
$86$	0.0930502	+	0.222129i	0.0100339	+	0.0239528i
$87$	−3.97768	−	12.8976i	−0.426452	−	1.38277i
$88$	14.1216	+	5.65207i	1.50537	+	0.602512i
$89$	6.87051	−	11.9001i	0.728272	−	1.26140i	−0.229341	−	0.973346i	$-0.573657\pi$
$89$	6.87051	−	11.9001i	0.728272	−	1.26140i	0.957613	−	0.288058i	$-0.0930097\pi$
$90$	−8.17166	−	5.30496i	−0.861369	−	0.559192i
$91$	4.26625	−	10.6961i	0.447225	−	1.12126i
$92$	4.18113	+	15.1200i	0.435913	+	1.57637i
$93$	−9.43299	+	2.90917i	−0.978155	+	0.301667i
$94$	0.858359	−	6.72742i	0.0885329	−	0.693881i
$95$	0.190893	−	0.330636i	0.0195852	−	0.0339226i
$96$	6.40015	+	7.41876i	0.653213	+	0.757174i
$97$	−6.73904	+	11.6724i	−0.684246	+	1.18515i	0.289427	+	0.957200i	$0.406535\pi$
$97$	−6.73904	+	11.6724i	−0.684246	+	1.18515i	−0.973673	+	0.227949i	$0.926798\pi$
$98$	−7.66733	+	6.26195i	−0.774517	+	0.632553i
$99$	−16.0884	+	1.20403i	−1.61694	+	0.121009i
$100$	−0.145662	−	0.526750i	−0.0145662	−	0.0526750i
$101$		−	5.12253i		−	0.509711i	−0.966979	−	0.254855i	$-0.917972\pi$
$101$		−	5.12253i		−	0.509711i	0.966979	−	0.254855i	$-0.0820278\pi$
$102$	1.40351	−	1.17222i	0.138969	−	0.116067i
$103$	0.707770			0.0697387			0.0348693	−	0.999392i	$-0.488898\pi$
$103$	0.707770			0.0697387			0.0348693	+	0.999392i	$0.488898\pi$
$104$	1.75300	+	12.1852i	0.171896	+	1.19486i
$105$	−0.844886	+	10.4893i	−0.0824525	+	1.02365i
$106$	−0.499492	−	0.0637307i	−0.0485149	−	0.00619007i
$107$	5.12331	+	2.95794i	0.495289	+	0.285955i	0.726766	−	0.686885i	$-0.241023\pi$
$107$	5.12331	+	2.95794i	0.495289	+	0.285955i	−0.231477	+	0.972840i	$0.574356\pi$
$108$	−9.55747	−	4.08102i	−0.919668	−	0.392696i
$109$	−4.06781	+	2.34855i	−0.389626	+	0.224951i	−0.681998	−	0.731354i	$-0.738889\pi$
$109$	−4.06781	+	2.34855i	−0.389626	+	0.224951i	0.292372	+	0.956305i	$0.405555\pi$
$110$	−13.8979	−	10.5763i	−1.32512	−	1.00841i
$111$	2.34860	+	7.61535i	0.222920	+	0.722817i
$112$	3.76322	−	9.89132i	0.355590	−	0.934642i
$113$	−7.15030	−	12.3847i	−0.672644	−	1.16505i	−0.977152	−	0.212543i	$-0.931825\pi$
$113$	−7.15030	−	12.3847i	−0.672644	−	1.16505i	0.304508	−	0.952510i	$-0.401508\pi$
$114$	0.140162	−	0.382365i	0.0131274	−	0.0358118i
$115$		−	18.0120i		−	1.67963i
$116$	3.91332	−	15.0858i	0.363343	−	1.40068i
$117$	−7.35441	−	10.7893i	−0.679915	−	0.997469i
$118$	6.56996	+	15.6838i	0.604814	+	1.44381i
$119$	−1.83462	−	0.731755i	−0.168179	−	0.0670798i
$120$	−4.81241	−	10.1685i	−0.439311	−	0.928255i
$121$	−17.9206			−1.62915
$122$	6.37596	+	0.813516i	0.577252	+	0.0736522i
$123$	−1.95865	+	8.57941i	−0.176605	+	0.773579i
$124$	−11.0333	−	2.86210i	−0.990823	−	0.257024i
$125$		−	10.8543i		−	0.970837i
$126$	1.02978	+	11.1776i	0.0917401	+	0.995783i
$127$	4.47111			0.396747			0.198373	−	0.980127i	$-0.436434\pi$
$127$	4.47111			0.396747			0.198373	+	0.980127i	$0.436434\pi$
$128$	1.78975	+	11.1712i	0.158193	+	0.987408i
$129$	−0.0869259	−	0.281857i	−0.00765340	−	0.0248161i
$130$	1.78897	−	14.0211i	0.156903	−	1.22974i
$131$		−	19.0909i		−	1.66798i	−0.551782	−	0.833989i	$-0.686052\pi$
$131$		−	19.0909i		−	1.66798i	0.551782	−	0.833989i	$-0.313948\pi$
$132$	−16.5389	−	8.57382i	−1.43953	−	0.746256i
$133$	−0.435318	+	0.0631563i	−0.0377468	+	0.00547634i
$134$	−4.70593	−	11.2340i	−0.406530	−	0.970469i
$135$	9.32786	+	7.44103i	0.802815	+	0.640422i
$136$	2.09002	−	0.300677i	0.179218	−	0.0257829i
$137$	8.33176			0.711830			0.355915	−	0.934518i	$-0.384169\pi$
$137$	8.33176			0.711830			0.355915	+	0.934518i	$0.384169\pi$
$138$	−3.29299	−	18.9288i	−0.280318	−	1.61133i
$139$	−3.56297	+	2.05708i	−0.302207	+	0.174479i	−0.643434	−	0.765502i	$-0.722491\pi$
$139$	−3.56297	+	2.05708i	−0.302207	+	0.174479i	0.341227	+	0.939981i	$0.389158\pi$
$140$	−7.19150	+	9.79457i	−0.607793	+	0.827792i
$141$	−1.84871	+	8.09783i	−0.155689	+	0.681960i
$142$	−14.0850	−	10.7187i	−1.18199	−	0.899492i
$143$	−11.7033	−	20.2707i	−0.978681	−	1.69513i
$144$	−6.91640	−	9.80630i	−0.576366	−	0.817191i
$145$	−8.94722	+	15.4970i	−0.743026	+	1.28696i
$146$	1.21253	−	9.50324i	0.100350	−	0.786493i
$147$	10.0928	−	6.71829i	0.832440	−	0.554116i
$148$	−2.31060	+	8.90732i	−0.189931	+	0.732178i
$149$			10.4763i			0.858253i	0.903244	+	0.429126i	$0.141179\pi$
$149$			10.4763i			0.858253i	−0.903244	+	0.429126i	$0.858821\pi$
$150$	0.114721	+	0.659441i	0.00936695	+	0.0538432i
$151$	17.6779			1.43860			0.719302	−	0.694698i	$-0.244462\pi$
$151$	17.6779			1.43860			0.719302	+	0.694698i	$0.244462\pi$
$152$	0.369614	−	0.290718i	0.0299797	−	0.0235803i
$153$	−1.85059	+	1.26144i	−0.149612	+	0.101981i
$154$	0.345481	+	20.1189i	0.0278397	+	1.62123i
$155$	11.3341	+	6.54377i	0.910380	+	0.525608i
$156$	−0.683348	−	15.0619i	−0.0547116	−	1.20592i
$157$	8.17970	+	4.72255i	0.652811	+	0.376901i	0.789532	−	0.613709i	$-0.210323\pi$
$157$	8.17970	+	4.72255i	0.652811	+	0.376901i	−0.136721	+	0.990610i	$0.543656\pi$
$158$	−2.15816	+	16.9147i	−0.171694	+	1.34566i
$159$	0.601240	+	0.137261i	0.0476815	+	0.0108855i
$160$	1.43802	−	12.9103i	0.113685	−	1.02065i
$161$	−16.2962	+	12.8492i	−1.28432	+	1.01266i
$162$	11.1630	+	6.11444i	0.877052	+	0.480396i
$163$	2.80955	+	1.62210i	0.220061	+	0.127052i	0.605979	−	0.795481i	$-0.292782\pi$
$163$	2.80955	+	1.62210i	0.220061	+	0.127052i	−0.385917	+	0.922533i	$0.626115\pi$
$164$	−7.12766	+	7.24246i	−0.556577	+	0.565541i
$165$	15.6790	+	14.5495i	1.22061	+	1.13267i
$166$	−0.549225	−	1.31111i	−0.0426281	−	0.101762i
$167$	−9.44103	−	16.3524i	−0.730569	−	1.26538i	−0.956640	−	0.291272i	$-0.905921\pi$
$167$	−9.44103	−	16.3524i	−0.730569	−	1.26538i	0.226071	−	0.974111i	$-0.427412\pi$
$168$	−5.76688	+	11.6079i	−0.444925	+	0.895568i
$169$	2.97198	−	5.14763i	0.228614	−	0.395971i
$170$	−2.40493	−	0.306848i	−0.184450	−	0.0235341i
$171$	−0.216454	+	0.449356i	−0.0165527	+	0.0343631i
$172$	0.0855195	−	0.329675i	0.00652080	−	0.0251375i
$173$	2.63412	−	1.52081i	0.200268	−	0.115625i	−0.396512	−	0.918029i	$-0.629780\pi$
$173$	2.63412	−	1.52081i	0.200268	−	0.115625i	0.596781	+	0.802404i	$0.296446\pi$
$174$	−6.56943	+	17.9216i	−0.498027	+	1.35863i
$175$	0.567727	−	0.447639i	0.0429161	−	0.0338383i
$176$	−11.0518	−	18.4550i	−0.833064	−	1.39110i
$177$	−6.13755	−	19.9010i	−0.461326	−	1.49585i
$178$	−17.9237	+	7.50824i	−1.34343	+	0.562766i
$179$	3.14576	−	1.81621i	0.235125	−	0.135750i	−0.377809	−	0.925884i	$-0.623322\pi$
$179$	3.14576	−	1.81621i	0.235125	−	0.135750i	0.612934	+	0.790134i	$0.289989\pi$
$180$	4.65307	+	12.9687i	0.346820	+	0.966627i
$181$		−	2.51328i		−	0.186811i	−0.995628	−	0.0934053i	$-0.970225\pi$
$181$		−	2.51328i		−	0.186811i	0.995628	−	0.0934053i	$-0.0297752\pi$
$182$	−13.9617	+	8.38367i	−1.03491	+	0.621439i
$183$	−7.67477	−	1.75212i	−0.567335	−	0.129521i
$184$	8.24376	−	20.5969i	0.607738	−	1.51842i
$185$	5.28285	−	9.15016i	0.388403	−	0.672733i
$186$	13.1074	+	4.80471i	0.961081	+	0.352299i
$187$	−3.47687	+	2.00737i	−0.254254	+	0.146794i
$188$	−6.72757	+	6.83592i	−0.490658	+	0.498561i
$189$	0.0780208	−	13.7475i	0.00567518	−	0.999984i
$190$	−0.497998	+	0.208612i	−0.0361286	+	0.0151343i
$191$	6.58555	+	11.4065i	0.476513	+	0.825345i	0.999638	−	0.0269110i	$-0.00856707\pi$
$191$	6.58555	+	11.4065i	0.476513	+	0.825345i	−0.523125	+	0.852256i	$0.675234\pi$
$192$	−0.849082	−	13.8304i	−0.0612772	−	0.998121i
$193$	−2.20250	+	3.81485i	−0.158540	+	0.274599i	−0.934342	−	0.356377i	$-0.884012\pi$
$193$	−2.20250	+	3.81485i	−0.158540	+	0.274599i	0.775803	+	0.630976i	$0.217345\pi$
$194$	17.5807	−	7.36457i	1.26222	−	0.528745i
$195$	−3.85303	+	16.8773i	−0.275921	+	1.20861i
$196$	13.9917	−	0.480674i	0.999410	−	0.0343338i
$197$			4.69025i			0.334166i	0.985943	+	0.167083i	$0.0534348\pi$
$197$			4.69025i			0.334166i	−0.985943	+	0.167083i	$0.946565\pi$
$198$	19.1370	+	12.4236i	1.36001	+	0.882904i
$199$	1.65870	+	2.87296i	0.117582	+	0.203659i	0.918809	−	0.394702i	$-0.129152\pi$
$199$	1.65870	+	2.87296i	0.117582	+	0.203659i	−0.801227	+	0.598361i	$0.795819\pi$
$200$	−0.287196	+	0.717554i	−0.0203078	+	0.0507387i
$201$	4.39620	+	14.2547i	0.310084	+	1.00545i
$202$	−4.38709	+	5.76490i	−0.308674	+	0.405617i
$203$	20.4035	−	2.96015i	1.43204	−	0.207762i
$204$	−2.58344	+	0.117209i	−0.180877	+	0.00820627i
$205$	10.1041	−	5.83363i	0.705704	−	0.407438i
$206$	−0.796525	−	0.606156i	−0.0554965	−	0.0422329i
$207$	1.75612	+	23.4655i	0.122059	+	1.63097i
$208$	8.46294	−	15.2145i	0.586799	−	1.05494i
$209$	−0.447048	+	0.774310i	−0.0309229	+	0.0535601i
$210$	9.93416	−	11.0810i	0.685522	−	0.764664i
$211$	19.7025	−	11.3752i	1.35638	−	0.783104i	0.367243	−	0.930125i	$-0.380302\pi$
$211$	19.7025	−	11.3752i	1.35638	−	0.783104i	0.989133	+	0.147021i	$0.0469686\pi$
$212$	0.507548	+	0.499503i	0.0348585	+	0.0343060i
$213$	15.8900	+	14.7453i	1.08877	+	1.01033i
$214$	−3.23250	−	7.71663i	−0.220969	−	0.527498i
$215$	−0.195527	+	0.338663i	−0.0133349	+	0.0230966i
$216$	7.26088	+	12.7781i	0.494040	+	0.869439i
$217$	−2.16498	−	14.9226i	−0.146969	−	1.01301i
$218$	6.58929	+	0.840735i	0.446283	+	0.0569417i
$219$	−2.61150	+	11.4391i	−0.176469	+	0.772982i
$220$	6.58286	+	23.8052i	0.443817	+	1.60495i
$221$	−2.81398	−	1.62465i	−0.189289	−	0.109286i
$222$	3.87890	−	10.5817i	0.260334	−	0.710200i
$223$	2.62122	−	4.54009i	0.175530	−	0.304027i	−0.764815	−	0.644250i	$-0.777169\pi$
$223$	2.62122	−	4.54009i	0.175530	−	0.304027i	0.940345	+	0.340224i	$0.110503\pi$
$224$	−12.7064	+	7.90877i	−0.848979	+	0.528427i
$225$	−0.0611797	−	0.817492i	−0.00407864	−	0.0544994i
$226$	−2.55966	+	20.0615i	−0.170266	+	1.33447i
$227$		−	2.91656i		−	0.193579i	−0.995305	−	0.0967894i	$-0.969143\pi$
$227$		−	2.91656i		−	0.193579i	0.995305	−	0.0967894i	$-0.0308573\pi$
$228$	−0.485207	+	0.310276i	−0.0321337	+	0.0205485i
$229$		−	10.2912i		−	0.680062i	−0.940414	−	0.340031i	$-0.889562\pi$
$229$		−	10.2912i		−	0.680062i	0.940414	−	0.340031i	$-0.110438\pi$
$230$	−15.4260	+	20.2707i	−1.01716	+	1.33661i
$231$	1.97862	−	24.5646i	0.130184	−	1.61623i
$232$	−17.3239	+	13.6260i	−1.13737	+	0.894593i
$233$	7.78669	−	13.4869i	0.510123	−	0.883559i	−0.489808	−	0.871830i	$-0.662933\pi$
$233$	7.78669	−	13.4869i	0.510123	−	0.883559i	0.999931	−	0.0117286i	$-0.00373343\pi$
$234$	−0.963602	+	18.4408i	−0.0629926	+	1.20551i
$235$	9.53697	−	5.50617i	0.622123	−	0.359183i
$236$	6.03824	−	23.2773i	0.393056	−	1.51522i
$237$	4.64818	−	20.3603i	0.301932	−	1.32254i
$238$	1.43798	+	2.39474i	0.0932105	+	0.155228i
$239$	3.97828	+	6.89059i	0.257334	+	0.445715i	0.965527	−	0.260304i	$-0.0838227\pi$
$239$	3.97828	+	6.89059i	0.257334	+	0.445715i	−0.708193	+	0.706019i	$0.750489\pi$
$240$	−3.29275	+	15.5652i	−0.212546	+	1.00473i
$241$	28.1353			1.81235			0.906177	−	0.422899i	$-0.138988\pi$
$241$	28.1353			1.81235			0.906177	+	0.422899i	$0.138988\pi$
$242$	20.1679	+	15.3478i	1.29644	+	0.986591i
$243$	−12.8776	−	8.78454i	−0.826097	−	0.563528i
$244$	−6.47879	−	6.37610i	−0.414762	−	0.408188i
$245$	−15.6310	−	3.74983i	−0.998629	−	0.239568i
$246$	9.55193	−	7.97783i	0.609009	−	0.508648i
$247$	−0.723629			−0.0460434
$248$	9.96573	+	12.6703i	0.632825	+	0.804564i
$249$	0.513076	+	1.66365i	0.0325149	+	0.105430i
$250$	−9.29594	+	12.2154i	−0.587927	+	0.772571i
$251$			25.8308i			1.63043i	0.579160	+	0.815214i	$0.303381\pi$
$251$			25.8308i			1.63043i	−0.579160	+	0.815214i	$0.696619\pi$
$252$	8.41395	−	13.4613i	0.530029	−	0.847979i
$253$			42.1818i			2.65195i
$254$	−5.03179	−	3.82919i	−0.315723	−	0.240265i
$255$	2.89482	+	0.660878i	0.181281	+	0.0413858i
$256$	7.55321	−	14.1049i	0.472076	−	0.881558i
$257$	−8.40498			−0.524288			−0.262144	−	0.965029i	$-0.584430\pi$
$257$	−8.40498			−0.524288			−0.262144	+	0.965029i	$0.584430\pi$
$258$	−0.143565	+	0.391648i	−0.00893794	+	0.0243830i
$259$	−12.0472	+	1.74781i	−0.748574	+	0.108604i
$260$	−14.0214	+	14.2473i	−0.869573	+	0.883579i
$261$	10.1453	−	21.0615i	0.627977	−	1.30367i
$262$	−16.3500	+	21.4849i	−1.01011	+	1.32734i
$263$	−15.2706			−0.941628			−0.470814	−	0.882232i	$-0.656040\pi$
$263$	−15.2706			−0.941628			−0.470814	+	0.882232i	$0.656040\pi$
$264$	11.2701	+	23.8134i	0.693625	+	1.46562i
$265$	−0.408818	−	0.708093i	−0.0251135	−	0.0434978i
$266$	0.543996	+	0.301743i	0.0333545	+	0.0185010i
$267$	22.7431	−	7.01407i	1.39186	−	0.429254i
$268$	−4.32507	+	16.6730i	−0.264196	+	1.01847i
$269$	4.49459	−	2.59495i	0.274040	−	0.158217i	−0.356682	−	0.934226i	$-0.616092\pi$
$269$	4.49459	−	2.59495i	0.274040	−	0.158217i	0.630722	+	0.776009i	$0.282759\pi$
$270$	−4.12486	−	16.3628i	−0.251031	−	0.995809i
$271$	−12.3800	+	21.4428i	−0.752030	+	1.30255i	0.194807	+	0.980842i	$0.437592\pi$
$271$	−12.3800	+	21.4428i	−0.752030	+	1.30255i	−0.946837	+	0.321713i	$0.895741\pi$
$272$	−2.60962	−	1.45158i	−0.158232	−	0.0880148i
$273$	18.0182	−	8.55372i	1.09051	−	0.517695i
$274$	−9.37657	−	7.13557i	−0.566459	−	0.431076i
$275$		−	1.46953i		−	0.0886160i
$276$	−12.5053	+	24.1227i	−0.752728	+	1.45202i
$277$			2.52504i			0.151715i	0.997119	+	0.0758576i	$0.0241694\pi$
$277$			2.52504i			0.151715i	−0.997119	+	0.0758576i	$0.975831\pi$
$278$	5.77151	+	0.736393i	0.346152	+	0.0441659i
$279$	−15.4038	−	7.42000i	−0.922202	−	0.444224i
$280$	16.4817	−	4.86380i	0.984969	−	0.290668i
$281$	5.95811	−	10.3198i	0.355431	−	0.615625i	−0.631760	−	0.775164i	$-0.717667\pi$
$281$	5.95811	−	10.3198i	0.355431	−	0.615625i	0.987192	+	0.159539i	$0.0510007\pi$
$282$	9.01576	−	7.53001i	0.536881	−	0.448406i
$283$	24.5159	+	14.1542i	1.45732	+	0.841382i	0.998879	−	0.0473444i	$-0.0150758\pi$
$283$	24.5159	+	14.1542i	1.45732	+	0.841382i	0.458438	+	0.888726i	$0.348409\pi$
$284$	6.67146	+	24.1256i	0.395879	+	1.43159i
$285$	0.631904	−	0.194882i	0.0374308	−	0.0115438i
$286$	−4.18955	+	32.8358i	−0.247733	+	1.94162i
$287$	−12.4859	−	4.98013i	−0.737020	−	0.293968i
$288$	−0.614691	+	16.9594i	−0.0362210	+	0.999344i
$289$	8.22134	−	14.2398i	0.483608	−	0.837634i
$290$	23.3413	−	9.77771i	1.37065	−	0.574167i
$291$	−22.3079	+	6.87986i	−1.30771	+	0.403304i
$292$	−9.50344	+	9.65650i	−0.556147	+	0.565104i
$293$	−15.5070	+	8.95295i	−0.905927	+	0.523037i	−0.879118	−	0.476603i	$-0.841868\pi$
$293$	−15.5070	+	8.95295i	−0.905927	+	0.523037i	−0.0268085	+	0.999641i	$0.508534\pi$
$294$	−17.1122	−	1.08300i	−0.998003	−	0.0631619i
$295$	−13.8055	+	23.9119i	−0.803789	+	1.39220i
$296$	10.2289	−	8.04544i	0.594540	−	0.467632i
$297$	−21.8447	−	17.4260i	−1.26756	−	1.01116i
$298$	8.97223	−	11.7901i	0.519747	−	0.682979i
$299$	−29.5657	+	17.0698i	−1.70983	+	0.987169i
$300$	0.435658	−	0.840387i	0.0251527	−	0.0485197i
$301$	0.445886	−	0.0646895i	0.0257004	−	0.00372864i
$302$	−19.8947	−	15.1399i	−1.14481	−	0.871201i
$303$	6.03515	−	6.50368i	0.346710	−	0.373627i
$304$	−0.664944	+	0.0106250i	−0.0381371	+	0.000609384i
$305$	5.21851	+	9.03873i	0.298811	+	0.517556i
$306$	3.16300	+	0.165279i	0.180816	+	0.00944835i
$307$			3.71688i			0.212134i	0.994359	+	0.106067i	$0.0338257\pi$
$307$			3.71688i			0.212134i	−0.994359	+	0.106067i	$0.966174\pi$
$308$	16.8416	−	22.9377i	0.959640	−	1.30700i
$309$	0.898602	+	0.833865i	0.0511197	+	0.0474369i
$310$	−7.15117	−	17.0713i	−0.406159	−	0.969582i
$311$	−10.1848	+	17.6405i	−0.577524	+	1.00030i	0.418238	+	0.908338i	$0.362648\pi$
$311$	−10.1848	+	17.6405i	−0.577524	+	1.00030i	−0.995762	+	0.0919642i	$0.970685\pi$
$312$	−12.1304	+	17.5359i	−0.686750	+	0.992775i
$313$	−1.02872	−	1.78180i	−0.0581467	−	0.100713i	0.835487	−	0.549511i	$-0.185186\pi$
$313$	−1.02872	−	1.78180i	−0.0581467	−	0.100713i	−0.893633	+	0.448798i	$0.851852\pi$
$314$	−5.16091	−	12.3201i	−0.291247	−	0.695264i
$315$	−13.4307	+	12.3220i	−0.756734	+	0.694266i
$316$	16.9150	−	17.1875i	0.951546	−	0.966872i
$317$	−7.04440	+	4.06709i	−0.395653	+	0.228430i	−0.684607	−	0.728913i	$-0.740026\pi$
$317$	−7.04440	+	4.06709i	−0.395653	+	0.228430i	0.288954	+	0.957343i	$0.406693\pi$
$318$	−0.559082	−	0.669394i	−0.0313518	−	0.0375378i
$319$	20.9533	−	36.2922i	1.17316	−	2.03197i
$320$	−12.6751	+	13.2977i	−0.708562	+	0.743365i
$321$	3.01975	+	9.79154i	0.168546	+	0.546510i
$322$	29.3442	−	0.503897i	1.63529	−	0.0280811i
$323$			0.124118i			0.00690611i
$324$	−7.32631	−	16.4416i	−0.407017	−	0.913421i
$325$	1.03001	−	0.594676i	0.0571346	−	0.0329867i
$326$	−1.77266	−	4.23169i	−0.0981786	−	0.234372i
$327$	−7.93156	−	1.81075i	−0.438616	−	0.100135i
$328$	14.2241	−	2.04633i	0.785397	−	0.112990i
$329$	−11.7850	−	4.70058i	−0.649730	−	0.259151i
$330$	−5.18456	−	29.8019i	−0.285401	−	1.64054i
$331$	−14.1644	+	8.17779i	−0.778543	+	0.449492i	−0.835914	−	0.548861i	$-0.815062\pi$
$331$	−14.1644	+	8.17779i	−0.778543	+	0.449492i	0.0573705	+	0.998353i	$0.481728\pi$
$332$	−0.504775	+	1.94589i	−0.0277031	+	0.106795i
$333$	−5.99024	+	12.4357i	−0.328263	+	0.681470i
$334$	−3.37970	+	26.4885i	−0.184929	+	1.44939i
$335$	9.88862	−	17.1276i	0.540273	−	0.935780i
$336$	16.4314	−	8.12459i	0.896407	−	0.443233i
$337$	11.4285	+	19.7948i	0.622551	+	1.07829i	0.989009	+	0.147855i	$0.0472370\pi$
$337$	11.4285	+	19.7948i	0.622551	+	1.07829i	−0.366458	+	0.930435i	$0.619430\pi$
$338$	−7.75325	+	3.24785i	−0.421721	+	0.176660i
$339$	5.51292	−	24.1481i	0.299421	−	1.31154i
$340$	2.44372	+	2.40498i	0.132529	+	0.130428i
$341$	−26.5432	−	15.3247i	−1.43739	−	0.829879i
$342$	0.628439	−	0.320327i	0.0339821	−	0.0173213i
$343$	7.75802	+	16.8170i	0.418894	+	0.908035i
$344$	−0.378588	+	0.297776i	−0.0204121	+	0.0160550i
$345$	21.2209	−	22.8684i	1.14250	−	1.23119i
$346$	−4.26691	−	0.544419i	−0.229390	−	0.0292681i
$347$	12.1275	+	7.00181i	0.651038	+	0.375877i	0.788854	−	0.614581i	$-0.210675\pi$
$347$	12.1275	+	7.00181i	0.651038	+	0.375877i	−0.137816	+	0.990458i	$0.544008\pi$
$348$	22.7418	−	14.5427i	1.21909	−	0.779572i
$349$	−18.2697	−	10.5480i	−0.977954	−	0.564622i	−0.0763024	−	0.997085i	$-0.524311\pi$
$349$	−18.2697	−	10.5480i	−0.977954	−	0.564622i	−0.901652	+	0.432463i	$0.857645\pi$
$350$	−1.02229	+	0.0175548i	−0.0546438	+	0.000938342i
$351$	3.37413	−	22.3630i	0.180098	−	1.19365i
$352$	−3.36766	+	30.2344i	−0.179497	+	1.61150i
$353$	15.7402			0.837766			0.418883	−	0.908040i	$-0.362422\pi$
$353$	15.7402			0.837766			0.418883	+	0.908040i	$0.362422\pi$
$354$	−10.1366	+	27.6530i	−0.538755	+	1.46974i
$355$		−	28.7402i		−	1.52537i
$356$	26.6016	+	6.90058i	1.40988	+	0.365730i
$357$	−1.46715	−	3.09052i	−0.0776498	−	0.163568i
$358$	−5.09570	−	0.650166i	−0.269316	−	0.0343623i
$359$	−12.6177	+	21.8544i	−0.665934	+	1.15343i	0.313097	+	0.949721i	$0.398634\pi$
$359$	−12.6177	+	21.8544i	−0.665934	+	1.15343i	−0.979031	+	0.203711i	$0.934700\pi$
$360$	5.87018	−	18.5800i	0.309386	−	0.979251i
$361$	−9.48618	−	16.4305i	−0.499273	−	0.864765i
$362$	−2.15245	+	2.82845i	−0.113130	+	0.148660i
$363$	−22.7524	−	21.1133i	−1.19419	−	1.10816i
$364$	22.8926	+	2.52225i	1.19990	+	0.132202i
$365$	13.4720	−	7.77808i	0.705159	−	0.407124i
$366$	7.13662	+	8.54475i	0.373037	+	0.446641i
$367$	−20.9699			−1.09462			−0.547310	−	0.836930i	$-0.684348\pi$
$367$	−20.9699			−1.09462			−0.547310	+	0.836930i	$0.684348\pi$
$368$	−26.9173	+	16.1195i	−1.40316	+	0.840289i
$369$	−12.5946	+	8.58503i	−0.655651	+	0.446919i
$370$	−13.7818	+	5.77321i	−0.716482	+	0.300135i
$371$	−0.349005	+	0.875005i	−0.0181194	+	0.0454280i
$372$	−10.6362	−	16.6328i	−0.551460	−	0.862370i
$373$			6.84645i			0.354496i	0.984166	+	0.177248i	$0.0567195\pi$
$373$			6.84645i			0.354496i	−0.984166	+	0.177248i	$0.943281\pi$
$374$	5.63205	+	0.718599i	0.291226	+	0.0371579i
$375$	12.7881	−	13.7809i	0.660373	−	0.711641i
$376$	13.4257	−	1.93146i	0.692378	−	0.0996076i
$377$	33.9167			1.74680
$378$	−11.8616	+	15.4046i	−0.610094	+	0.792329i
$379$		−	16.9288i		−	0.869573i	−0.900534	−	0.434786i	$-0.856824\pi$
$379$		−	16.9288i		−	0.869573i	0.900534	−	0.434786i	$-0.143176\pi$
$380$	0.739109	+	0.191729i	0.0379155	+	0.00983547i
$381$	5.67663	+	5.26767i	0.290822	+	0.269871i
$382$	2.35749	−	18.4769i	0.120620	−	0.945363i
$383$	9.28716			0.474552			0.237276	−	0.971442i	$-0.423745\pi$
$383$	9.28716			0.474552			0.237276	+	0.971442i	$0.423745\pi$
$384$	−10.8892	+	16.2919i	−0.555687	+	0.831392i
$385$	−25.6571	+	20.2300i	−1.30761	+	1.03102i
$386$	5.74585	−	2.40694i	0.292456	−	0.122510i
$387$	0.221709	−	0.460265i	0.0112701	−	0.0233966i
$388$	−26.0926	−	6.76855i	−1.32465	−	0.343621i
$389$		−	20.0295i		−	1.01554i	−0.861494	−	0.507768i	$-0.830471\pi$
$389$		−	20.0295i		−	1.01554i	0.861494	−	0.507768i	$-0.169529\pi$
$390$	18.7904	−	15.6939i	0.951491	−	0.794691i
$391$	2.92783	+	5.07116i	0.148067	+	0.256459i
$392$	−16.1580	−	11.4420i	−0.816102	−	0.577908i
$393$	22.4921	−	24.2382i	1.13457	−	1.22266i
$394$	4.01687	−	5.27841i	0.202367	−	0.265922i
$395$	−23.9787	+	13.8441i	−1.20650	+	0.696573i
$396$	−10.8969	−	30.3710i	−0.547591	−	1.52620i
$397$	27.0190	+	15.5994i	1.35604	+	0.782912i	0.989088	−	0.147327i	$-0.0470669\pi$
$397$	27.0190	+	15.5994i	1.35604	+	0.782912i	0.366955	+	0.930239i	$0.380400\pi$
$398$	0.593782	−	4.65379i	0.0297636	−	0.233274i
$399$	−0.627097	−	0.432688i	−0.0313941	−	0.0216615i
$400$	0.937745	−	0.561572i	0.0468873	−	0.0280786i
$401$	−13.6702			−0.682659			−0.341329	−	0.939944i	$-0.610877\pi$
$401$	−13.6702			−0.682659			−0.341329	+	0.939944i	$0.610877\pi$
$402$	7.26065	−	19.8073i	0.362128	−	0.987896i
$403$		−	24.8058i		−	1.23567i
$404$	9.87446	−	2.73059i	0.491273	−	0.135852i
$405$	3.07617	+	20.4370i	0.152856	+	1.01552i
$406$	−25.4973	−	14.1428i	−1.26541	−	0.701895i
$407$	−12.3718	+	21.4286i	−0.613247	+	1.06217i
$408$	3.00779	+	2.08063i	0.148908	+	0.103007i
$409$	−2.11394	+	3.66145i	−0.104528	+	0.181047i	−0.913545	−	0.406737i	$-0.866666\pi$
$409$	−2.11394	+	3.66145i	−0.104528	+	0.181047i	0.809017	+	0.587785i	$0.200000\pi$
$410$	−16.3673	−	2.08832i	−0.808324	−	0.103135i
$411$	10.5782	+	9.81613i	0.521784	+	0.484194i
$412$	0.377280	+	1.36434i	0.0185873	+	0.0672160i
$413$	31.4825	−	4.56751i	1.54915	−	0.224753i
$414$	18.1202	−	27.9121i	0.890561	−	1.37181i
$415$	1.15409	−	1.99895i	0.0566521	−	0.0981244i
$416$	−22.5544	+	9.87454i	−1.10582	+	0.484139i
$417$	−6.94719	−	1.58602i	−0.340205	−	0.0776677i
$418$	1.16625	−	0.488543i	0.0570432	−	0.0238954i
$419$	9.99662	−	5.77155i	0.488367	−	0.281959i	−0.235530	−	0.971867i	$-0.575683\pi$
$419$	9.99662	−	5.77155i	0.488367	−	0.281959i	0.723897	+	0.689908i	$0.242349\pi$
$420$	−20.6700	+	3.96270i	−1.00859	+	0.193360i
$421$	22.2662	+	12.8554i	1.08519	+	0.626534i	0.932291	−	0.361708i	$-0.117806\pi$
$421$	22.2662	+	12.8554i	1.08519	+	0.626534i	0.152897	+	0.988242i	$0.451140\pi$
$422$	−31.9153	−	4.07211i	−1.55361	−	0.198227i
$423$	−11.8877	+	8.10313i	−0.577999	+	0.393987i
$424$	−0.143406	−	0.996820i	−0.00696439	−	0.0484099i
$425$	−0.102000	−	0.176669i	−0.00494772	−	0.00856970i
$426$	−5.25435	−	30.2031i	−0.254574	−	1.46334i
$427$	4.45501	−	11.1693i	0.215593	−	0.540523i
$428$	−2.97089	+	11.4527i	−0.143603	+	0.553588i
$429$	9.02332	−	39.5246i	0.435650	−	1.90826i
$430$	0.510088	−	0.213676i	0.0245986	−	0.0103044i
$431$	11.6629	+	20.2008i	0.561784	+	0.973038i	0.997341	+	0.0728770i	$0.0232181\pi$
$431$	11.6629	+	20.2008i	0.561784	+	0.973038i	−0.435557	+	0.900161i	$0.643449\pi$
$432$	2.77214	−	20.5989i	0.133375	−	0.991066i
$433$	−19.6701			−0.945283			−0.472641	−	0.881255i	$-0.656699\pi$
$433$	−19.6701			−0.945283			−0.472641	+	0.881255i	$0.656699\pi$
$434$	−10.3437	+	18.6480i	−0.496513	+	0.895135i
$435$	−29.6175	+	9.13417i	−1.42005	+	0.437950i
$436$	−6.69556	−	6.58943i	−0.320659	−	0.315577i
$437$	1.12936	+	0.652037i	0.0540246	+	0.0311911i
$438$	12.7358	−	10.6370i	0.608538	−	0.508255i
$439$	0.443175	+	0.767601i	0.0211516	+	0.0366356i	0.876407	−	0.481570i	$-0.159933\pi$
$439$	0.443175	+	0.767601i	0.0211516	+	0.0366356i	−0.855256	+	0.518206i	$0.826600\pi$
$440$	12.9792	−	32.4282i	0.618758	−	1.54595i
$441$	20.7293	+	3.36120i	0.987108	+	0.160057i
$442$	1.77545	+	4.23836i	0.0844497	+	0.201598i
$443$	16.9164	−	9.76667i	0.803721	−	0.464028i	−0.0410498	−	0.999157i	$-0.513070\pi$
$443$	16.9164	−	9.76667i	0.803721	−	0.464028i	0.844771	+	0.535129i	$0.179737\pi$
$444$	−13.4278	+	8.58669i	−0.637257	+	0.407506i
$445$	−27.3268	−	15.7771i	−1.29542	−	0.747908i
$446$	−6.83819	+	2.86453i	−0.323798	+	0.135639i
$447$	−12.3427	+	13.3010i	−0.583792	+	0.629114i
$448$	21.0730	+	1.98157i	0.995608	+	0.0936204i
$449$	20.4612			0.965624			0.482812	−	0.875724i	$-0.339615\pi$
$449$	20.4612			0.965624			0.482812	+	0.875724i	$0.339615\pi$
$450$	−0.631273	+	0.972402i	−0.0297585	+	0.0458395i
$451$	−23.6627	+	13.6616i	−1.11423	+	0.643302i
$452$	20.0619	−	20.3850i	0.943632	−	0.958831i
$453$	22.4442	+	20.8273i	1.05452	+	0.978552i
$454$	−2.49783	+	3.28230i	−0.117229	+	0.154046i
$455$	−24.5621	−	9.79684i	−1.15149	−	0.459283i
$456$	0.811782	+	0.0663620i	0.0380152	+	0.00310769i
$457$	−0.503019	−	0.871254i	−0.0235302	−	0.0407555i	0.854021	−	0.520239i	$-0.174157\pi$
$457$	−0.503019	−	0.871254i	−0.0235302	−	0.0407555i	−0.877551	+	0.479484i	$0.840824\pi$
$458$	−8.81371	+	11.5817i	−0.411837	+	0.541179i
$459$	−3.83573	−	0.578737i	−0.179037	−	0.0270131i
$460$	34.7209	−	9.60136i	1.61887	−	0.447666i
$461$	−0.989438	−	0.571252i	−0.0460827	−	0.0266059i	0.476782	−	0.879022i	$-0.341803\pi$
$461$	−0.989438	−	0.571252i	−0.0460827	−	0.0266059i	−0.522864	+	0.852416i	$0.675137\pi$
$462$	−23.2646	+	25.9504i	−1.08237	+	1.20732i
$463$	18.0121	+	31.1978i	0.837092	+	1.44989i	0.892316	+	0.451411i	$0.149079\pi$
$463$	18.0121	+	31.1978i	0.837092	+	1.44989i	−0.0552243	+	0.998474i	$0.517587\pi$
$464$	31.1661	−	0.497996i	1.44685	−	0.0231189i
$465$	6.68050	+	21.6615i	0.309801	+	1.00453i
$466$	−20.3138	+	8.50946i	−0.941017	+	0.394193i
$467$	10.2143	+	5.89723i	0.472661	+	0.272891i	0.717353	−	0.696710i	$-0.245353\pi$
$467$	10.2143	+	5.89723i	0.472661	+	0.272891i	−0.244692	+	0.969601i	$0.578687\pi$
$468$	16.8777	−	19.9280i	0.780172	−	0.921173i
$469$	−22.5503	+	3.27161i	−1.04128	+	0.151069i
$470$	−15.4486	−	1.97110i	−0.712589	−	0.0909200i
$471$	4.82123	+	15.6328i	0.222151	+	0.720324i
$472$	−26.7308	+	21.0249i	−1.23039	+	0.967751i
$473$	0.457901	−	0.793108i	0.0210543	−	0.0364671i
$474$	−22.6682	+	18.9326i	−1.04119	+	0.869604i
$475$	−0.0393447	−	0.0227157i	−0.00180526	−	0.00104227i
$476$	0.432620	−	3.92657i	0.0198291	−	0.179974i
$477$	0.601634	+	0.882626i	0.0275469	+	0.0404127i
$478$	1.42415	−	11.1618i	0.0651389	−	0.510529i
$479$	−6.56452			−0.299941			−0.149970	−	0.988690i	$-0.547918\pi$
$479$	−6.56452			−0.299941			−0.149970	+	0.988690i	$0.547918\pi$
$480$	17.0361	−	14.6970i	0.777590	−	0.670825i
$481$	−20.0260			−0.913107
$482$	−31.6635	−	24.0959i	−1.44223	−	1.09754i
$483$	−35.8284	−	2.88590i	−1.63025	−	0.131313i
$484$	−9.55266	−	34.5447i	−0.434212	−	1.57022i
$485$	26.8039	+	15.4753i	1.21710	+	0.702695i
$486$	6.96909	+	20.9149i	0.316124	+	0.948718i
$487$	9.90213	+	17.1510i	0.448708	+	0.777185i	0.998302	−	0.0582465i	$-0.0185509\pi$
$487$	9.90213	+	17.1510i	0.448708	+	0.777185i	−0.549594	+	0.835432i	$0.685218\pi$
$488$	1.83056	+	12.7243i	0.0828654	+	0.576002i
$489$	1.65599	+	5.36955i	0.0748864	+	0.242819i
$490$	14.3797	+	17.6069i	0.649608	+	0.795400i
$491$	−14.3144	+	8.26442i	−0.645999	+	0.372968i	−0.786922	−	0.617053i	$-0.788327\pi$
$491$	−14.3144	+	8.26442i	−0.645999	+	0.372968i	0.140922	+	0.990021i	$0.454993\pi$
$492$	−17.5822	+	0.797693i	−0.792667	+	0.0359628i
$493$		−	5.81745i		−	0.262005i
$494$	0.814372	+	0.619737i	0.0366403	+	0.0278833i
$495$	2.76487	+	36.9447i	0.124272	+	1.66054i
$496$	−0.364222	−	22.7941i	−0.0163540	−	1.02349i
$497$	−26.0024	+	20.5023i	−1.16637	+	0.919654i
$498$	0.847384	−	2.31169i	0.0379722	−	0.103589i
$499$			40.6535i			1.81990i	0.414715	+	0.909951i	$0.363881\pi$
$499$			40.6535i			1.81990i	−0.414715	+	0.909951i	$0.636119\pi$
$500$	20.9233	−	5.78593i	0.935719	−	0.258754i
$501$	7.27909	−	31.8844i	0.325206	−	1.42449i
$502$	22.1223	−	29.0700i	0.987367	−	1.29746i
$503$	15.1465			0.675347			0.337674	−	0.941263i	$-0.390360\pi$
$503$	15.1465			0.675347			0.337674	+	0.941263i	$0.390360\pi$
$504$	−20.9977	+	7.94335i	−0.935312	+	0.353825i
$505$	−11.7632			−0.523454
$506$	36.1258	−	47.4715i	1.60599	−	2.11036i
$507$	9.83801	−	3.03408i	0.436922	−	0.134748i
$508$	2.38334	+	8.61876i	0.105744	+	0.382395i
$509$		−	0.311416i		−	0.0138033i	−0.999976	−	0.00690163i	$-0.997803\pi$
$509$		−	0.311416i		−	0.0138033i	0.999976	−	0.00690163i	$-0.00219687\pi$
$510$	−2.69184	−	3.22297i	−0.119197	−	0.142715i
$511$	−16.6477	−	6.64009i	−0.736450	−	0.293740i
$512$	−20.5803	+	9.40490i	−0.909528	+	0.415642i
$513$	−0.804227	+	0.315496i	−0.0355075	+	0.0139295i
$514$	9.45897	+	7.19828i	0.417217	+	0.317502i
$515$		−	1.62529i		−	0.0716190i
$516$	0.496987	−	0.317808i	0.0218786	−	0.0139907i
$517$	−22.3344	+	12.8948i	−0.982267	+	0.567112i
$518$	15.0548	+	8.35056i	0.661468	+	0.366903i
$519$	5.13609	+	1.17255i	0.225449	+	0.0514693i
$520$	27.9815	−	4.02551i	1.22707	−	0.176530i
$521$	−15.4464	−	26.7539i	−0.676718	−	1.17211i	−0.975964	−	0.217933i	$-0.930068\pi$
$521$	−15.4464	−	26.7539i	−0.676718	−	1.17211i	0.299246	−	0.954176i	$-0.403265\pi$
$522$	−29.4552	+	15.0139i	−1.28922	+	0.657139i
$523$	−1.81957	−	1.05053i	−0.0795644	−	0.0459365i	0.459690	−	0.888079i	$-0.347961\pi$
$523$	−1.81957	−	1.05053i	−0.0795644	−	0.0459365i	−0.539254	+	0.842143i	$0.681294\pi$
$524$	36.8006	−	10.1765i	1.60764	−	0.444561i
$525$	1.24819	+	0.100539i	0.0544754	+	0.00438787i
$526$	17.1856	+	13.0782i	0.749327	+	0.570238i
$527$	−4.25474			−0.185339
$528$	7.71121	−	36.4517i	0.335587	−	1.58636i
$529$	38.5238			1.67495
$530$	−0.146348	+	1.14701i	−0.00635697	+	0.0498230i
$531$	15.6541	−	32.4978i	0.679332	−	1.41028i
$532$	−0.353791	−	0.805476i	−0.0153388	−	0.0349218i
$533$	−19.1512	−	11.0569i	−0.829530	−	0.478929i
$534$	−31.6022	−	11.5843i	−1.36756	−	0.501300i
$535$	6.79249	−	11.7649i	0.293665	−	0.508643i
$536$	19.1467	−	15.0597i	0.827013	−	0.650481i
$537$	6.13372	+	1.40031i	0.264689	+	0.0604277i
$538$	−7.28062	−	0.928941i	−0.313890	−	0.0400495i
$539$	36.6059	+	8.78164i	1.57673	+	0.378252i
$540$	−9.37148	+	21.9474i	−0.403284	+	0.944465i
$541$	−8.97619	−	5.18241i	−0.385917	−	0.222809i	0.294473	−	0.955660i	$-0.404856\pi$
$541$	−8.97619	−	5.18241i	−0.385917	−	0.222809i	−0.680389	+	0.732851i	$0.738189\pi$
$542$	32.2967	−	13.5291i	1.38726	−	0.581125i
$543$	2.96104	−	3.19092i	0.127070	−	0.136935i
$544$	1.69370	+	3.86857i	0.0726167	+	0.165863i
$545$	5.39312	+	9.34115i	0.231016	+	0.400131i
$546$	−27.6034	−	5.80500i	−1.18132	−	0.248431i
$547$	33.5764	+	19.3853i	1.43562	+	0.828856i	0.997541	−	0.0700794i	$-0.0223253\pi$
$547$	33.5764	+	19.3853i	1.43562	+	0.828856i	0.438080	+	0.898936i	$0.355659\pi$
$548$	4.44128	+	16.0608i	0.189722	+	0.686082i
$549$	−7.67979	−	11.2666i	−0.327766	−	0.480848i
$550$	−1.25855	+	1.65381i	−0.0536648	+	0.0705187i
$551$	−0.647782	−	1.12199i	−0.0275964	−	0.0477984i
$552$	34.7328	−	16.4378i	1.47833	−	0.699641i
$553$	29.6310	+	11.8186i	1.26004	+	0.502578i
$554$	2.16252	−	2.84169i	0.0918769	−	0.120732i
$555$	17.4876	−	5.39324i	0.742306	−	0.228930i
$556$	−5.86460	−	5.77164i	−0.248714	−	0.244772i
$557$	0.999799	−	0.577234i	0.0423628	−	0.0244582i	−0.478669	−	0.877995i	$-0.658881\pi$
$557$	0.999799	−	0.577234i	0.0423628	−	0.0244582i	0.521032	+	0.853537i	$0.325547\pi$
$558$	10.9808	+	21.5428i	0.464852	+	0.911978i
$559$	0.741197			0.0313493
$560$	−22.7140	−	8.64169i	−0.959842	−	0.365178i
$561$	−6.77932	−	1.54770i	−0.286223	−	0.0653438i
$562$	−15.5434	+	6.51115i	−0.655659	+	0.274656i
$563$	10.2817	+	5.93613i	0.433321	+	0.250178i	0.700761	−	0.713397i	$-0.252844\pi$
$563$	10.2817	+	5.93613i	0.433321	+	0.250178i	−0.267439	+	0.963575i	$0.586177\pi$
$564$	−16.5953	+	0.752916i	−0.698787	+	0.0317035i
$565$	−28.4397	+	16.4196i	−1.19647	+	0.690780i
$566$	−15.4681	−	36.9253i	−0.650171	−	1.55209i
$567$	16.2958	−	17.3622i	0.684359	−	0.729145i
$568$	13.1539	−	32.8647i	0.551924	−	1.37897i
$569$	−19.1103	−	33.1000i	−0.801145	−	1.38762i	−0.918863	−	0.394577i	$-0.870891\pi$
$569$	−19.1103	−	33.1000i	−0.801145	−	1.38762i	0.117718	−	0.993047i	$-0.462442\pi$
$570$	−0.878048	−	0.321862i	−0.0367774	−	0.0134813i
$571$	−30.2840	−	17.4845i	−1.26735	−	0.731704i	−0.292862	−	0.956155i	$-0.594608\pi$
$571$	−30.2840	−	17.4845i	−1.26735	−	0.731704i	−0.974485	+	0.224451i	$0.927941\pi$
$572$	32.8365	−	33.3654i	1.37296	−	1.39508i
$573$	−5.07749	+	22.2408i	−0.212115	+	0.929122i
$574$	9.78652	+	16.2979i	0.408481	+	0.680263i
$575$	−2.14337			−0.0893846
$576$	15.2163	−	18.5597i	0.634014	−	0.773321i
$577$	−13.4928	−	23.3703i	−0.561713	−	0.972916i	−0.997347	−	0.0727922i	$-0.976809\pi$
$577$	−13.4928	−	23.3703i	−0.561713	−	0.972916i	0.435634	−	0.900124i	$-0.356524\pi$
$578$	−21.4477	+	8.98445i	−0.892106	+	0.373704i
$579$	−7.29085	+	2.24853i	−0.302997	+	0.0934456i
$580$	−34.6423	−	8.98638i	−1.43844	−	0.373139i
$581$	−2.63182	+	0.381827i	−0.109186	+	0.0158409i
$582$	30.9975	+	11.3626i	1.28489	+	0.470995i
$583$	0.957401	+	1.65827i	0.0396515	+	0.0686784i
$584$	18.9653	−	2.72841i	0.784790	−	0.112902i
$585$	−24.7760	+	16.8884i	−1.02436	+	0.698247i
$586$	25.1191	+	3.20498i	1.03766	+	0.132396i
$587$	12.4988	+	7.21618i	0.515881	+	0.297844i	0.735248	−	0.677799i	$-0.237066\pi$
$587$	12.4988	+	7.21618i	0.515881	+	0.297844i	−0.219367	+	0.975642i	$0.570399\pi$
$588$	18.3306	+	15.8742i	0.755940	+	0.654641i
$589$	−0.820595	+	0.473771i	−0.0338120	+	0.0195214i
$590$	36.0156	−	15.0870i	1.48274	−	0.621121i
$591$	−5.52585	+	5.95485i	−0.227303	+	0.244950i
$592$	−18.4019	+	0.294040i	−0.756314	+	0.0120850i
$593$	11.5377	−	19.9839i	0.473797	−	0.820640i	−0.525753	−	0.850637i	$-0.676216\pi$
$593$	11.5377	−	19.9839i	0.473797	−	0.820640i	0.999550	+	0.0299970i	$0.00954979\pi$
$594$	9.65992	+	38.3197i	0.396351	+	1.57228i
$595$	−1.68037	+	4.21293i	−0.0688885	+	0.172713i
$596$	−20.1947	+	5.58444i	−0.827208	+	0.228748i
$597$	−1.27887	+	5.60179i	−0.0523406	+	0.229266i
$598$	47.8923	+	6.11063i	1.95846	+	0.249882i
$599$	−19.0809	+	33.0491i	−0.779625	+	1.35035i	0.152533	+	0.988298i	$0.451257\pi$
$599$	−19.0809	+	33.0491i	−0.779625	+	1.35035i	−0.932158	+	0.362051i	$0.882076\pi$
$600$	−1.21002	+	0.572661i	−0.0493990	+	0.0233788i
$601$	15.1214	−	26.1910i	0.616815	−	1.06835i	−0.373248	−	0.927732i	$-0.621756\pi$
$601$	15.1214	−	26.1910i	0.616815	−	1.06835i	0.990063	−	0.140623i	$-0.0449107\pi$
$602$	−0.557203	−	0.309069i	−0.0227099	−	0.0125967i
$603$	−11.2127	+	23.2775i	−0.456618	+	0.947932i
$604$	9.42326	+	34.0768i	0.383427	+	1.38657i
$605$			41.1521i			1.67307i
$606$	−12.3619	+	2.15057i	−0.502168	+	0.0873609i
$607$	−23.4512			−0.951854			−0.475927	−	0.879485i	$-0.657887\pi$
$607$	−23.4512			−0.951854			−0.475927	+	0.879485i	$0.657887\pi$
$608$	0.757428	+	0.557521i	0.0307178	+	0.0226104i
$609$	29.3923	+	20.2802i	1.19103	+	0.821797i
$610$	1.86812	−	14.6415i	0.0756381	−	0.592817i
$611$	−18.0762	−	10.4363i	−0.731283	−	0.422207i
$612$	−3.41809	−	2.89489i	−0.138168	−	0.117019i
$613$	0.597884	−	0.345189i	0.0241483	−	0.0139420i	−0.487877	−	0.872912i	$-0.662229\pi$
$613$	0.597884	−	0.345189i	0.0241483	−	0.0139420i	0.512026	+	0.858970i	$0.328895\pi$
$614$	3.18325	−	4.18298i	0.128465	−	0.168811i
$615$	19.7014	+	4.49776i	0.794437	+	0.181367i
$616$	−38.5981	+	11.3904i	−1.55516	+	0.458933i
$617$	20.0173	+	34.6710i	0.805867	+	1.39580i	0.915704	+	0.401853i	$0.131634\pi$
$617$	20.0173	+	34.6710i	0.805867	+	1.39580i	−0.109837	+	0.993950i	$0.535033\pi$
$618$	−0.297140	−	1.70802i	−0.0119527	−	0.0687067i
$619$		−	39.8140i		−	1.60026i	−0.599827	−	0.800130i	$-0.704764\pi$
$619$		−	39.8140i		−	1.60026i	0.599827	−	0.800130i	$-0.295236\pi$
$620$	−6.57241	+	25.3365i	−0.263954	+	1.01754i
$621$	−25.4165	+	31.8614i	−1.01993	+	1.27855i
$622$	26.5698	−	11.1301i	1.06535	−	0.446277i
$623$	5.21981	+	35.9786i	0.209127	+	1.44145i
$624$	28.6699	−	9.34607i	1.14771	−	0.374142i
$625$	−26.2916			−1.05167
$626$	−0.368261	+	2.88626i	−0.0147187	+	0.115358i
$627$	−1.47984	+	0.456389i	−0.0590992	+	0.0182264i
$628$	−4.74323	+	18.2850i	−0.189275	+	0.729652i
$629$			3.43489i			0.136958i
$630$	25.6679	−	2.36474i	1.02263	−	0.0942137i
$631$	−12.6033			−0.501730			−0.250865	−	0.968022i	$-0.580715\pi$
$631$	−12.6033			−0.501730			−0.250865	+	0.968022i	$0.580715\pi$
$632$	−33.7561	+	4.85626i	−1.34275	+	0.193171i
$633$	38.4166	+	8.77037i	1.52692	+	0.348591i
$634$	11.4110	+	1.45594i	0.453187	+	0.0578226i
$635$		−	10.2673i		−	0.407444i
$636$	0.0559019	+	1.23215i	0.00221665	+	0.0488580i
$637$	8.65819	+	29.2111i	0.343050	+	1.15739i
$638$	−54.6625	+	22.8982i	−2.16411	+	0.906548i
$639$	2.80209	+	37.4419i	0.110849	+	1.48118i
$640$	25.6532	−	4.10990i	1.01403	−	0.162458i
$641$	−5.63457			−0.222552			−0.111276	−	0.993790i	$-0.535494\pi$
$641$	−5.63457			−0.222552			−0.111276	+	0.993790i	$0.535494\pi$
$642$	4.98734	−	13.6056i	0.196835	−	0.536970i
$643$	26.0657	−	15.0490i	1.02793	−	0.593476i	0.111540	−	0.993760i	$-0.464422\pi$
$643$	26.0657	−	15.0490i	1.02793	−	0.593476i	0.916391	+	0.400284i	$0.131088\pi$
$644$	−33.4555	−	24.5641i	−1.31833	−	0.967963i
$645$	−0.647245	+	0.199613i	−0.0254852	+	0.00785975i
$646$	0.106298	−	0.139683i	0.00418226	−	0.00549574i
$647$	−14.7281	−	25.5097i	−0.579020	−	1.00289i	−0.995592	−	0.0937890i	$-0.970102\pi$
$647$	−14.7281	−	25.5097i	−0.579020	−	1.00289i	0.416572	−	0.909103i	$-0.363231\pi$
$648$	−5.83602	+	24.7778i	−0.229261	+	0.973365i
$649$	32.3309	−	55.9987i	1.26910	−	2.19814i
$650$	−1.66847	−	0.212882i	−0.0654428	−	0.00834992i
$651$	14.8324	−	21.4968i	0.581329	−	0.842524i
$652$	−1.62920	+	6.28051i	−0.0638042	+	0.245964i
$653$			7.41795i			0.290287i	0.989411	+	0.145143i	$0.0463643\pi$
$653$			7.41795i			0.290287i	−0.989411	+	0.145143i	$0.953636\pi$
$654$	7.37540	+	8.83064i	0.288401	+	0.345305i
$655$	−43.8395			−1.71295
$656$	−17.7604	−	9.87904i	−0.693427	−	0.385712i
$657$	−16.7927	+	11.4466i	−0.655144	+	0.446573i
$658$	9.23717	+	15.3831i	0.360102	+	0.599695i
$659$	−3.58896	−	2.07208i	−0.139806	−	0.0807170i	0.428466	−	0.903558i	$-0.359054\pi$
$659$	−3.58896	−	2.07208i	−0.139806	−	0.0807170i	−0.568271	+	0.822841i	$0.692388\pi$
$660$	−19.6886	+	37.9793i	−0.766376	+	1.47834i
$661$	−17.4220	−	10.0586i	−0.677636	−	0.391233i	0.121328	−	0.992613i	$-0.461285\pi$
$661$	−17.4220	−	10.0586i	−0.677636	−	0.391233i	−0.798964	+	0.601379i	$0.794618\pi$
$662$	22.9443	+	2.92748i	0.891755	+	0.113780i
$663$	−1.65860	−	5.37800i	−0.0644146	−	0.208864i
$664$	2.23460	−	1.75761i	0.0867192	−	0.0682084i
$665$	0.145029	+	0.999645i	0.00562400	+	0.0387646i
$666$	17.3917	−	8.86487i	0.673914	−	0.343507i
$667$	−52.9335	−	30.5612i	−2.04959	−	1.18333i
$668$	26.4891	−	26.9157i	1.02489	−	1.04140i
$669$	8.67690	−	2.67599i	0.335468	−	0.103460i
$670$	−25.7972	+	10.8065i	−0.996635	+	0.417491i
$671$	−12.2211	−	21.1676i	−0.471791	−	0.817166i
$672$	−25.4501	−	4.92893i	−0.981757	−	0.190137i
$673$	4.91808	−	8.51836i	0.189578	−	0.328359i	−0.755532	−	0.655112i	$-0.772621\pi$
$673$	4.91808	−	8.51836i	0.189578	−	0.328359i	0.945110	+	0.326753i	$0.105955\pi$
$674$	4.09118	−	32.0648i	0.157586	−	1.23509i
$675$	0.885459	−	1.10999i	0.0340813	−	0.0427234i
$676$	11.5071	+	2.98499i	0.442580	+	0.114807i
$677$	−3.90997	+	2.25742i	−0.150272	+	0.0867597i	−0.573251	−	0.819380i	$-0.694318\pi$
$677$	−3.90997	+	2.25742i	−0.150272	+	0.0867597i	0.422979	+	0.906140i	$0.360985\pi$
$678$	−26.8854	+	22.4548i	−1.03253	+	0.862372i
$679$	−5.11993	−	35.2902i	−0.196485	−	1.35431i
$680$	−0.690463	−	4.79944i	−0.0264780	−	0.184050i
$681$	3.43617	−	3.70293i	0.131674	−	0.141897i
$682$	16.7472	+	39.9788i	0.641282	+	1.53087i
$683$	−38.7064	+	22.3472i	−1.48106	+	0.855090i	−0.999769	−	0.0214711i	$-0.993165\pi$
$683$	−38.7064	+	22.3472i	−1.48106	+	0.855090i	−0.481290	+	0.876561i	$0.659832\pi$
$684$	−0.981584	−	0.177718i	−0.0375318	−	0.00679521i
$685$		−	19.1327i		−	0.731023i
$686$	5.67174	−	25.5701i	0.216548	−	0.976272i
$687$	12.1247	−	13.0660i	0.462585	−	0.498498i
$688$	0.681087	−	0.0108829i	0.0259662	−	0.000414907i
$689$	−0.774864	+	1.34210i	−0.0295200	+	0.0511301i
$690$	−43.4673	+	7.56189i	−1.65477	+	0.287876i
$691$	−6.89483	+	3.98073i	−0.262292	+	0.151434i	−0.625379	−	0.780321i	$-0.715056\pi$
$691$	−6.89483	+	3.98073i	−0.262292	+	0.151434i	0.363088	+	0.931755i	$0.381722\pi$
$692$	4.33572	+	4.26700i	0.164819	+	0.162207i
$693$	31.4530	−	28.8566i	1.19480	−	1.09617i
$694$	−7.65173	−	18.2662i	−0.290456	−	0.693375i
$695$	4.72379	+	8.18185i	0.179184	+	0.310355i
$696$	−38.0485	−	3.11041i	−1.44223	−	0.117900i
$697$	−1.89650	+	3.28484i	−0.0718352	+	0.124422i
$698$	11.5271	+	27.5175i	0.436307	+	1.04155i
$699$	25.7759	−	7.94939i	0.974934	−	0.300674i
$700$	1.16552	+	0.855765i	0.0440526	+	0.0323449i
$701$			30.1941i			1.14042i	0.821500	+	0.570208i	$0.193137\pi$
$701$			30.1941i			1.14042i	−0.821500	+	0.570208i	$0.806863\pi$
$702$	−22.9496	+	22.2776i	−0.866176	+	0.840814i
$703$	0.382480	+	0.662475i	0.0144255	+	0.0249857i
$704$	29.6836	−	31.1416i	1.11874	−	1.17369i
$705$	18.5955	+	4.24529i	0.700347	+	0.159887i
$706$	−17.7140	−	13.4804i	−0.666676	−	0.507341i
$707$	8.39145	+	10.6426i	0.315593	+	0.400257i
$708$	35.0906	−	22.4394i	1.31879	−	0.843324i
$709$	23.0408	−	13.3026i	0.865314	−	0.499589i	−0.000474220	−	1.00000i	$-0.500151\pi$
$709$	23.0408	−	13.3026i	0.865314	−	0.499589i	0.865788	+	0.500411i	$0.166818\pi$
$710$	−24.6139	+	32.3442i	−0.923745	+	1.21386i
$711$	29.8891	−	20.3736i	1.12093	−	0.764070i
$712$	−24.0276	−	30.5483i	−0.900471	−	1.14485i
$713$	−22.3517	+	38.7142i	−0.837076	+	1.44986i
$714$	−0.995684	+	4.73458i	−0.0372625	+	0.177187i
$715$	−46.5489	+	26.8750i	−1.74083	+	1.00507i
$716$	5.17789	+	5.09581i	0.193507	+	0.190439i
$717$	−3.06728	+	13.4355i	−0.114550	+	0.501758i
$718$	32.9167	−	13.7888i	1.22844	−	0.514595i
$719$	15.7024	−	27.1973i	0.585600	−	1.01429i	−0.409200	−	0.912445i	$-0.634192\pi$
$719$	15.7024	−	27.1973i	0.585600	−	1.01429i	0.994800	−	0.101845i	$-0.0324744\pi$
$720$	−22.5188	+	15.8825i	−0.839225	+	0.591907i
$721$	−1.47047	+	1.15943i	−0.0547632	+	0.0431795i
$722$	−3.39586	+	26.6152i	−0.126381	+	0.990515i
$723$	35.7212	+	33.1478i	1.32849	+	1.23278i
$724$	4.84474	−	1.33971i	0.180053	−	0.0497901i
$725$	1.84410	+	1.06469i	0.0684881	+	0.0395416i
$726$	7.52353	+	43.2468i	0.279224	+	1.60504i
$727$	24.9129	−	43.1505i	0.923970	−	1.60036i	0.130760	−	0.991414i	$-0.458258\pi$
$727$	24.9129	−	43.1505i	0.923970	−	1.60036i	0.793210	−	0.608949i	$-0.208408\pi$
$728$	−23.6032	−	22.4444i	−0.874792	−	0.831846i
$729$	−6.00010	−	26.3249i	−0.222226	−	0.974995i
$730$	−21.8228	−	2.78440i	−0.807699	−	0.103055i
$731$		−	0.127131i		−	0.00470212i
$732$	−0.713581	−	15.7283i	−0.0263747	−	0.581334i
$733$		−	9.49449i		−	0.350687i	−0.984507	−	0.175344i	$-0.943896\pi$
$733$		−	9.49449i		−	0.350687i	0.984507	−	0.175344i	$-0.0561036\pi$
$734$	23.5996	+	17.9593i	0.871076	+	0.662889i
$735$	−15.4276	−	23.1767i	−0.569056	−	0.854884i
$736$	44.0980	+	4.91187i	1.62548	+	0.181054i
$737$	−23.1579	+	40.1107i	−0.853033	+	1.47750i
$738$	21.5265	+	1.12484i	0.792402	+	0.0414060i
$739$	−20.3654	+	11.7580i	−0.749152	+	0.432523i	−0.825388	−	0.564567i	$-0.809043\pi$
$739$	−20.3654	+	11.7580i	−0.749152	+	0.432523i	0.0762353	+	0.997090i	$0.475710\pi$
$740$	20.4544	+	5.30598i	0.751919	+	0.195052i
$741$	−0.918736	−	0.852549i	−0.0337506	−	0.0313192i
$742$	1.14215	−	0.685834i	0.0419297	−	0.0251777i
$743$	−3.97811	−	6.89029i	−0.145943	−	0.252780i	0.783782	−	0.621037i	$-0.213288\pi$
$743$	−3.97811	−	6.89029i	−0.145943	−	0.252780i	−0.929724	+	0.368256i	$0.879955\pi$
$744$	−2.27487	+	27.8277i	−0.0834009	+	1.02021i
$745$	24.0574			0.881394
$746$	5.86351	−	7.70501i	0.214678	−	0.282100i
$747$	−1.30863	+	2.71669i	−0.0478802	+	0.0993986i
$748$	−5.72289	−	5.63217i	−0.209249	−	0.205933i
$749$	−15.4898	+	2.24727i	−0.565985	+	0.0821135i
$750$	−26.1940	+	4.55691i	−0.956471	+	0.166395i
$751$	13.0233			0.475228			0.237614	−	0.971360i	$-0.423635\pi$
$751$	13.0233			0.475228			0.237614	+	0.971360i	$0.423635\pi$
$752$	−16.7635	−	9.32451i	−0.611300	−	0.340030i
$753$	−30.4328	+	32.7954i	−1.10903	+	1.19513i
$754$	−38.1699	−	29.0473i	−1.39007	−	1.05784i
$755$		−	40.5947i		−	1.47739i
$756$	26.5420	−	7.17777i	0.965324	−	0.261053i
$757$		−	47.7121i		−	1.73413i	−0.498198	−	0.867064i	$-0.666005\pi$
$757$		−	47.7121i		−	1.73413i	0.498198	−	0.867064i	$-0.333995\pi$
$758$	−14.4983	+	19.0517i	−0.526603	+	0.691987i
$759$	−49.6969	+	53.5551i	−1.80388	+	1.94393i
$760$	−0.667592	−	0.848767i	−0.0242161	−	0.0307880i
$761$	−38.2835			−1.38777			−0.693887	−	0.720083i	$-0.744103\pi$
$761$	−38.2835			−1.38777			−0.693887	+	0.720083i	$0.744103\pi$
$762$	−1.87709	−	10.7899i	−0.0679997	−	0.390876i
$763$	4.60406	−	11.5431i	0.166678	−	0.417887i
$764$	−18.4773	+	18.7749i	−0.668487	+	0.679254i
$765$	2.89672	+	4.24963i	0.104731	+	0.153646i
$766$	−10.4518	−	7.95381i	−0.377638	−	0.287383i
$767$	52.3334			1.88965
$768$	26.2076	−	9.00907i	0.945684	−	0.325087i
$769$	−16.6672	−	28.8685i	−0.601036	−	1.04102i	−0.992665	−	0.120901i	$-0.961422\pi$
$769$	−16.6672	−	28.8685i	−0.601036	−	1.04102i	0.391629	−	0.920123i	$-0.371912\pi$
$770$	46.2001	−	0.793348i	1.66494	−	0.0285903i
$771$	−10.6712	−	9.90239i	−0.384312	−	0.356626i
$772$	−8.52777	−	2.21215i	−0.306921	−	0.0796169i
$773$	−9.58539	+	5.53413i	−0.344762	+	0.199049i	−0.662376	−	0.749172i	$-0.730452\pi$
$773$	−9.58539	+	5.53413i	−0.344762	+	0.199049i	0.317614	+	0.948220i	$0.397119\pi$
$774$	−0.643696	+	0.328104i	−0.0231372	+	0.0117935i
$775$	0.778687	−	1.34873i	0.0279713	−	0.0484477i
$776$	23.5678	+	29.9638i	0.846035	+	1.07564i
$777$	−17.3546	−	11.9744i	−0.622591	−	0.429579i
$778$	−17.1539	+	22.5412i	−0.614996	+	0.808142i
$779$			0.844714i			0.0302650i
$780$	−34.5875	+	1.56921i	−1.23843	+	0.0561867i
$781$			67.3059i			2.40840i
$782$	1.04811	−	8.21457i	0.0374802	−	0.293752i
$783$	37.6944	−	14.7874i	1.34709	−	0.528458i
$784$	8.38493	+	26.7150i	0.299462	+	0.954108i
$785$	10.8447	−	18.7835i	0.387063	−	0.670413i
$786$	−46.0709	+	8.01484i	−1.64330	+	0.285880i
$787$	11.0505	+	6.38001i	0.393908	+	0.227423i	0.683852	−	0.729621i	$-0.260303\pi$
$787$	11.0505	+	6.38001i	0.393908	+	0.227423i	−0.289944	+	0.957044i	$0.593637\pi$
$788$	−9.04117	+	2.50016i	−0.322079	+	0.0890644i
$789$	−19.3880	−	17.9912i	−0.690230	−	0.640504i
$790$	38.8422	+	4.95591i	1.38194	+	0.176323i
$791$	35.1435	+	14.0173i	1.24956	+	0.498399i
$792$	−13.7473	+	43.5120i	−0.488487	+	1.54613i
$793$	9.89106	−	17.1318i	0.351242	−	0.608369i
$794$	−17.0474	−	40.6954i	−0.604988	−	1.44423i
$795$	0.315201	−	1.38066i	0.0111790	−	0.0489671i
$796$	−4.65389	+	4.72885i	−0.164953	+	0.167610i
$797$	38.9818	−	22.5061i	1.38080	−	0.797208i	0.388550	−	0.921428i	$-0.372976\pi$
$797$	38.9818	−	22.5061i	1.38080	−	0.797208i	0.992255	+	0.124219i	$0.0396427\pi$
$798$	0.335169	+	1.02401i	0.0118649	+	0.0362497i
$799$	−1.79005	+	3.10046i	−0.0633274	+	0.109686i
$800$	−1.53629	−	0.171120i	−0.0543160	−	0.00604999i
$801$	37.1389	+	17.8898i	1.31224	+	0.632103i
$802$	15.3845	+	11.7076i	0.543245	+	0.413410i
$803$	−31.5499	+	18.2153i	−1.11337	+	0.642805i
$804$	−25.1347	+	16.0729i	−0.886432	+	0.566846i
$805$	29.5063	+	37.4219i	1.03996	+	1.31895i
$806$	−21.2445	+	27.9165i	−0.748304	+	0.983317i
$807$	8.76371	+	2.00072i	0.308497	+	0.0704288i
$808$	−13.4513	−	5.38379i	−0.473215	−	0.189401i
$809$	−3.59144	−	6.22055i	−0.126268	−	0.218703i	0.795960	−	0.605350i	$-0.206967\pi$
$809$	−3.59144	−	6.22055i	−0.126268	−	0.218703i	−0.922228	+	0.386647i	$0.873633\pi$
$810$	14.0409	−	25.6343i	0.493349	−	0.900699i
$811$			7.62050i			0.267592i	0.991009	+	0.133796i	$0.0427167\pi$
$811$			7.62050i			0.267592i	−0.991009	+	0.133796i	$0.957283\pi$
$812$	16.5823	+	37.7529i	0.581925	+	1.32487i
$813$	−40.9809	+	12.6387i	−1.43726	+	0.443257i
$814$	32.2753	−	13.5202i	1.13125	−	0.473881i
$815$	3.72491	−	6.45174i	0.130478	−	0.225994i
$816$	−1.60305	−	4.91750i	−0.0561181	−	0.172147i
$817$	−0.0141563	−	0.0245193i	−0.000495265	−	0.000857823i
$818$	5.51481	−	2.31016i	0.192821	−	0.0807729i
$819$	32.9540	+	10.3683i	1.15151	+	0.362298i
$820$	16.6313	+	16.3677i	0.580790	+	0.571584i
$821$	6.79546	−	3.92336i	0.237163	−	0.136926i	−0.376709	−	0.926332i	$-0.622944\pi$
$821$	6.79546	−	3.92336i	0.237163	−	0.136926i	0.613872	+	0.789405i	$0.289611\pi$
$822$	−3.49789	−	20.1066i	−0.122003	−	0.701297i
$823$	13.5353	−	23.4438i	0.471810	−	0.817198i	−0.527670	−	0.849449i	$-0.676934\pi$
$823$	13.5353	−	23.4438i	0.471810	−	0.817198i	0.999480	+	0.0322512i	$0.0102676\pi$
$824$	0.743868	−	1.85854i	0.0259139	−	0.0647453i
$825$	1.73134	−	1.86575i	0.0602775	−	0.0649571i
$826$	−39.3422	−	21.8223i	−1.36889	−	0.759295i
$827$		−	52.5236i		−	1.82642i	−0.407484	−	0.913212i	$-0.633594\pi$
$827$		−	52.5236i		−	1.82642i	0.407484	−	0.913212i	$-0.366406\pi$
$828$	−44.2973	+	15.8936i	−1.53944	+	0.552340i
$829$	11.9595	−	6.90482i	0.415371	−	0.239814i	−0.277724	−	0.960661i	$-0.589580\pi$
$829$	11.9595	−	6.90482i	0.415371	−	0.239814i	0.693095	+	0.720847i	$0.256247\pi$
$830$	−3.01077	+	1.26122i	−0.104505	+	0.0437775i
$831$	−2.97490	+	3.20586i	−0.103198	+	0.111210i
$832$	33.8396	+	8.20344i	1.17318	+	0.284403i
$833$	5.01034	−	1.48507i	0.173598	−	0.0514546i
$834$	6.46006	+	7.73469i	0.223694	+	0.267831i
$835$	−37.5509	+	21.6800i	−1.29950	+	0.750267i
$836$	−1.73090	−	0.449005i	−0.0598645	−	0.0155292i
$837$	−10.8151	−	27.5687i	−0.373825	−	0.952914i
$838$	−16.1931	−	2.06610i	−0.559383	−	0.0713722i
$839$	−9.99493	+	17.3117i	−0.345063	+	0.597667i	−0.985365	−	0.170456i	$-0.945476\pi$
$839$	−9.99493	+	17.3117i	−0.345063	+	0.597667i	0.640302	+	0.768123i	$0.278809\pi$
$840$	26.6559	+	13.2428i	0.919715	+	0.456921i
$841$	15.8617	+	27.4734i	0.546957	+	0.947357i
$842$	−14.0487	−	33.5369i	−0.484149	−	1.15576i
$843$	19.7229	−	6.08261i	0.679291	−	0.209496i
$844$	32.4300	+	31.9160i	1.11629	+	1.09859i
$845$	−11.8208	−	6.82474i	−0.406648	−	0.234778i
$846$	20.3182	+	1.06170i	0.698553	+	0.0365020i
$847$	37.2321	−	29.3566i	1.27931	−	1.00870i
$848$	−0.692318	+	1.24464i	−0.0237743	+	0.0427411i
$849$	14.4500	+	46.8541i	0.495922	+	1.60803i
$850$	−0.0365139	+	0.286179i	−0.00125242	+	0.00981586i
$851$	31.2544	+	18.0447i	1.07139	+	0.618565i
$852$	−19.9536	+	38.4905i	−0.683598	+	1.31866i
$853$	2.47174	+	1.42706i	0.0846309	+	0.0488617i	0.541718	−	0.840560i	$-0.317774\pi$
$853$	2.47174	+	1.42706i	0.0846309	+	0.0488617i	−0.457087	+	0.889422i	$0.651107\pi$
$854$	−14.5794	+	8.75459i	−0.498898	+	0.299576i
$855$	1.03188	+	0.497056i	0.0352896	+	0.0169990i
$856$	13.1519	−	10.3445i	0.449522	−	0.353569i
$857$	22.2546			0.760204			0.380102	−	0.924945i	$-0.375889\pi$
$857$	22.2546			0.760204			0.380102	+	0.924945i	$0.375889\pi$
$858$	−44.0049	+	36.7532i	−1.50230	+	1.25473i
$859$			36.9022i			1.25909i	0.776965	+	0.629544i	$0.216758\pi$
$859$			36.9022i			1.25909i	−0.776965	+	0.629544i	$0.783242\pi$
$860$	−0.757053	−	0.196383i	−0.0258153	−	0.00669661i
$861$	−9.98502	−	21.0332i	−0.340289	−	0.716811i
$862$	4.17510	−	32.7225i	0.142204	−	1.11453i
$863$	11.4090	−	19.7609i	0.388366	−	0.672669i	−0.603864	−	0.797087i	$-0.706373\pi$
$863$	11.4090	−	19.7609i	0.388366	−	0.672669i	0.992230	+	0.124418i	$0.0397065\pi$
$864$	−20.7613	+	20.8079i	−0.706314	+	0.707899i
$865$	−3.49232	−	6.04888i	−0.118742	−	0.205668i
$866$	22.1367	+	16.8460i	0.752236	+	0.572452i
$867$	27.2147	−	8.39312i	0.924260	−	0.285045i
$868$	27.6115	−	12.1279i	0.937197	−	0.411647i
$869$	56.1552	−	32.4212i	1.90493	−	1.09981i
$870$	41.1544	+	15.0858i	1.39526	+	0.511455i
$871$	−37.4853			−1.27014
$872$	1.89180	+	13.1500i	0.0640646	+	0.445316i
$873$	−36.4282	−	17.5474i	−1.23291	−	0.593891i
$874$	−0.712560	−	1.70102i	−0.0241027	−	0.0575379i
$875$	17.7809	+	22.5510i	0.601105	+	0.762363i
$876$	−23.4427	+	1.06358i	−0.792055	+	0.0359350i
$877$		−	34.9058i		−	1.17869i	−0.807883	−	0.589343i	$-0.799387\pi$
$877$		−	34.9058i		−	1.17869i	0.807883	−	0.589343i	$-0.200613\pi$
$878$	0.158648	−	1.24341i	0.00535410	−	0.0419629i
$879$	−30.2360	−	6.90277i	−1.01984	−	0.232825i
$880$	−42.3793	+	25.3790i	−1.42860	+	0.855525i
$881$	−54.1037			−1.82280			−0.911400	−	0.411521i	$-0.864998\pi$
$881$	−54.1037			−1.82280			−0.911400	+	0.411521i	$0.864998\pi$
$882$	−20.4501	−	21.5359i	−0.688591	−	0.725150i
$883$			40.7305i			1.37069i	0.728219	+	0.685344i	$0.240348\pi$
$883$			40.7305i			1.37069i	−0.728219	+	0.685344i	$0.759652\pi$
$884$	1.63176	−	6.29040i	0.0548821	−	0.211569i
$885$	−45.6998	+	14.0940i	−1.53618	+	0.473765i
$886$	−27.4022	−	3.49627i	−0.920594	−	0.117459i
$887$	44.7398			1.50222			0.751108	−	0.660180i	$-0.229520\pi$
$887$	44.7398			1.50222			0.751108	+	0.660180i	$0.229520\pi$
$888$	22.4656	+	1.83653i	0.753896	+	0.0616299i
$889$	−9.28923	+	7.32434i	−0.311551	+	0.245650i
$890$	17.2416	+	41.1591i	0.577940	+	1.37966i
$891$	−7.20401	−	47.8610i	−0.241343	−	1.60340i
$892$	10.1490	+	2.63269i	0.339813	+	0.0881491i
$893$			0.797298i			0.0266806i
$894$	25.2819	−	4.39823i	0.845553	−	0.147099i
$895$	−4.17066	−	7.22380i	−0.139410	−	0.241465i
$896$	−22.0186	−	20.2777i	−0.735588	−	0.677429i
$897$	−57.6481	−	13.1609i	−1.92482	−	0.439429i
$898$	−23.0271	−	17.5236i	−0.768423	−	0.584770i
$899$	38.4616	−	22.2058i	1.28277	−	0.740605i
$900$	1.54323	−	0.553701i	0.0514410	−	0.0184567i
$901$	0.230200	+	0.132906i	0.00766907	+	0.00442774i
$902$	38.3302	+	4.89059i	1.27626	+	0.162839i
$903$	0.642322	+	0.443193i	0.0213751	+	0.0147485i
$904$	−40.0360	+	5.75970i	−1.33158	+	0.191565i
$905$	−5.77139			−0.191848
$906$	−7.42162	−	42.6610i	−0.246567	−	1.41732i
$907$		−	4.61477i		−	0.153231i	−0.997061	−	0.0766155i	$-0.975589\pi$
$907$		−	4.61477i		−	0.153231i	0.997061	−	0.0766155i	$-0.0244114\pi$
$908$	5.62212	−	1.55468i	0.186577	−	0.0515940i
$909$	15.3247	−	1.14688i	0.508289	−	0.0380395i
$910$	19.2519	+	32.0611i	0.638195	+	1.06282i
$911$	0.828283	−	1.43463i	0.0274423	−	0.0475314i	−0.851978	−	0.523577i	$-0.824597\pi$
$911$	0.828283	−	1.43463i	0.0274423	−	0.0475314i	0.879420	+	0.476046i	$0.157930\pi$
$912$	−0.856746	−	0.769919i	−0.0283697	−	0.0254946i
$913$	−2.70274	+	4.68129i	−0.0894477	+	0.154928i
$914$	−0.180071	+	1.41131i	−0.00595620	+	0.0466820i
$915$	−4.02350	+	17.6240i	−0.133013	+	0.582632i
$916$	19.8379	−	5.48578i	0.655463	−	0.181255i
$917$	31.2737	+	39.6634i	1.03275	+	1.30980i
$918$	3.82109	+	3.93635i	0.126115	+	0.129919i
$919$	−0.319639	+	0.553630i	−0.0105439	+	0.0182626i	−0.871249	−	0.490841i	$-0.836690\pi$
$919$	−0.319639	+	0.553630i	−0.0105439	+	0.0182626i	0.860705	+	0.509103i	$0.170023\pi$
$920$	−47.2978	−	18.9306i	−1.55936	−	0.624124i
$921$	−4.37907	+	4.71904i	−0.144295	+	0.155498i
$922$	0.624276	+	1.49027i	0.0205595	+	0.0490795i
$923$	−47.1754	+	27.2367i	−1.55280	+	0.896508i
$924$	48.4067	−	9.28015i	1.59246	−	0.305295i
$925$	−1.08884	−	0.628642i	−0.0358009	−	0.0206696i
$926$	6.44796	−	50.5361i	0.211893	−	1.66072i
$927$	0.158462	+	2.11739i	0.00520457	+	0.0695442i
$928$	−35.5009	−	26.1312i	−1.16537	−	0.857798i
$929$	11.3029	+	19.5772i	0.370835	+	0.642306i	0.989694	−	0.143196i	$-0.0457381\pi$
$929$	11.3029	+	19.5772i	0.370835	+	0.642306i	−0.618859	+	0.785502i	$0.712405\pi$
$930$	11.0333	−	30.0993i	0.361798	−	0.986994i
$931$	0.800962	−	0.844328i	0.0262505	−	0.0276717i
$932$	30.1489	+	7.82077i	0.987560	+	0.256178i
$933$	−33.7141	+	10.3976i	−1.10375	+	0.340401i
$934$	−6.44462	−	15.3846i	−0.210874	−	0.503399i
$935$	4.60965	+	7.98415i	0.150752	+	0.261109i
$936$	−36.0611	+	7.97245i	−1.17870	+	0.260588i
$937$	4.06766			0.132885			0.0664424	−	0.997790i	$-0.478835\pi$
$937$	4.06766			0.132885			0.0664424	+	0.997790i	$0.478835\pi$
$938$	28.1800	+	15.6309i	0.920110	+	0.510366i
$939$	0.793149	−	3.47420i	0.0258834	−	0.113376i
$940$	15.6977	+	15.4489i	0.512003	+	0.503888i
$941$	−5.84522	−	3.37474i	−0.190549	−	0.110013i	0.401691	−	0.915775i	$-0.368423\pi$
$941$	−5.84522	−	3.37474i	−0.190549	−	0.110013i	−0.592239	+	0.805762i	$0.701756\pi$
$942$	7.96262	−	21.7223i	0.259436	−	0.707750i
$943$	19.9260	+	34.5129i	0.648881	+	1.12390i
$944$	48.0893	−	0.768407i	1.56517	−	0.0250095i
$945$	−31.5692	−	0.179164i	−1.02695	−	0.00582820i
$946$	−1.19456	+	0.500404i	−0.0388386	+	0.0162695i
$947$	19.2542	−	11.1164i	0.625678	−	0.361236i	−0.153398	−	0.988164i	$-0.549022\pi$
$947$	19.2542	−	11.1164i	0.625678	−	0.361236i	0.779076	+	0.626929i	$0.215688\pi$
$948$	41.7253	−	1.89305i	1.35518	−	0.0614833i
$949$	−25.5346	−	14.7424i	−0.828888	−	0.478559i
$950$	0.0248241	+	0.0592602i	0.000805402	+	0.00192265i
$951$	−13.7354	−	3.13575i	−0.445401	−	0.101684i
$952$	−3.84971	+	4.04846i	−0.124770	+	0.131211i
$953$	−4.95878			−0.160631			−0.0803153	−	0.996770i	$-0.525593\pi$
$953$	−4.95878			−0.160631			−0.0803153	+	0.996770i	$0.525593\pi$
$954$	0.0788283	−	1.50857i	0.00255216	−	0.0488416i
$955$	26.1934	−	15.1228i	0.847599	−	0.489361i
$956$	−11.1620	+	11.3418i	−0.361006	+	0.366821i
$957$	69.3607	−	21.3911i	2.24211	−	0.691476i
$958$	7.38772	+	5.62206i	0.238686	+	0.181640i
$959$	−17.3102	+	13.6487i	−0.558975	+	0.440738i
$960$	−31.7595	+	1.94980i	−1.02503	+	0.0629294i
$961$	−0.740759	−	1.28303i	−0.0238954	−	0.0413881i
$962$	22.5373	+	17.1509i	0.726631	+	0.552966i
$963$	−7.70203	+	15.9893i	−0.248194	+	0.515248i
$964$	14.9976	+	54.2351i	0.483041	+	1.74680i
$965$	8.76026	+	5.05774i	0.282003	+	0.162814i
$966$	37.8497	+	33.9323i	1.21779	+	1.09175i
$967$	−8.18483	−	14.1765i	−0.263206	−	0.455887i	0.703886	−	0.710313i	$-0.251447\pi$
$967$	−8.18483	−	14.1765i	−0.263206	−	0.455887i	−0.967092	+	0.254426i	$0.918113\pi$
$968$	−18.8346	+	47.0579i	−0.605367	+	1.51250i
$969$	−0.146231	+	0.157583i	−0.00469760	+	0.00506230i
$970$	−16.9117	−	40.3716i	−0.543002	−	1.29625i
$971$	38.6493	+	22.3142i	1.24031	+	0.716095i	0.969158	−	0.246440i	$-0.0792608\pi$
$971$	38.6493	+	22.3142i	1.24031	+	0.716095i	0.271156	+	0.962536i	$0.412594\pi$
$972$	10.0691	−	29.5062i	0.322967	−	0.946410i
$973$	4.03267	−	10.1105i	0.129281	−	0.324127i
$974$	3.54476	−	27.7822i	0.113581	−	0.890200i
$975$	2.00835	+	0.458498i	0.0643185	+	0.0146837i
$976$	8.83737	−	15.8877i	0.282877	−	0.508552i
$977$	9.17718	−	15.8953i	0.293604	−	0.508537i	−0.681055	−	0.732232i	$-0.738479\pi$
$977$	9.17718	−	15.8953i	0.293604	−	0.508537i	0.974659	+	0.223695i	$0.0718120\pi$
$978$	2.73499	−	7.46113i	0.0874553	−	0.238581i
$979$	63.9960	+	36.9481i	2.04532	+	1.18087i
$980$	−1.10380	−	32.1301i	−0.0352596	−	1.02636i
$981$	−7.93675	−	11.6436i	−0.253401	−	0.371751i
$982$	23.1873	+	2.95849i	0.739937	+	0.0944094i
$983$	−33.8024			−1.07813			−0.539064	−	0.842265i	$-0.681222\pi$
$983$	−33.8024			−1.07813			−0.539064	+	0.842265i	$0.681222\pi$
$984$	20.4702	+	14.1602i	0.652566	+	0.451411i
$985$	10.7705			0.343176
$986$	−4.98224	+	6.54697i	−0.158667	+	0.208498i
$987$	−9.42454	−	19.8526i	−0.299986	−	0.631915i
$988$	−0.385733	−	1.39491i	−0.0122718	−	0.0443779i
$989$	−1.15678	−	0.667867i	−0.0367834	−	0.0212369i
$990$	28.5289	−	43.9455i	0.906709	−	1.39668i
$991$	3.52458	+	6.10474i	0.111962	+	0.193924i	0.916561	−	0.399894i	$-0.130953\pi$
$991$	3.52458	+	6.10474i	0.111962	+	0.193924i	−0.804599	+	0.593818i	$0.797620\pi$
$992$	−19.1117	+	25.9644i	−0.606796	+	0.824372i
$993$	−27.6181	−	6.30512i	−0.876435	−	0.200087i
$994$	46.8220	−	0.804026i	1.48510	−	0.0255022i
$995$	6.59734	−	3.80898i	0.209150	−	0.120753i
$996$	−2.93345	+	1.87585i	−0.0929498	+	0.0594386i
$997$		−	59.7930i		−	1.89366i	−0.321729	−	0.946832i	$-0.604264\pi$
$997$		−	59.7930i		−	1.89366i	0.321729	−	0.946832i	$-0.395736\pi$
$998$	34.8169	−	45.7515i	1.10211	−	1.44824i
$999$	−22.2565	+	8.73115i	−0.704165	+	0.276242i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.w.a.205.19	✓	184
7.4	even	3		504.2.cq.a.277.81	yes	184
8.5	even	2	inner	504.2.w.a.205.42	yes	184
9.4	even	3		504.2.cq.a.373.81	yes	184
56.53	even	6		504.2.cq.a.277.82	yes	184
63.4	even	3	inner	504.2.w.a.445.42	yes	184
72.13	even	6		504.2.cq.a.373.82	yes	184
504.445	even	6	inner	504.2.w.a.445.19	yes	184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.w.a.205.19	✓	184	1.1	even	1	trivial
504.2.w.a.205.42	yes	184	8.5	even	2	inner
504.2.w.a.445.19	yes	184	504.445	even	6	inner
504.2.w.a.445.42	yes	184	63.4	even	3	inner
504.2.cq.a.277.81	yes	184	7.4	even	3
504.2.cq.a.277.82	yes	184	56.53	even	6
504.2.cq.a.373.81	yes	184	9.4	even	3
504.2.cq.a.373.82	yes	184	72.13	even	6

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:	\( N \)	\(=\)	\( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	504.w (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.12540 - 0.856430i) q^{2} +(1.26962 + 1.17816i) q^{3} +(0.533054 + 1.92765i) q^{4} -2.29636i q^{5} +(-0.419826 - 2.41324i) q^{6} +(-2.07761 + 1.63815i) q^{7} +(1.05100 - 2.62591i) q^{8} +(0.223889 + 2.99163i) q^{9} +O(q^{10})\)	\(q+(-1.12540 - 0.856430i) q^{2} +(1.26962 + 1.17816i) q^{3} +(0.533054 + 1.92765i) q^{4} -2.29636i q^{5} +(-0.419826 - 2.41324i) q^{6} +(-2.07761 + 1.63815i) q^{7} +(1.05100 - 2.62591i) q^{8} +(0.223889 + 2.99163i) q^{9} +(-1.96667 + 2.58432i) q^{10} +5.37779i q^{11} +(-1.59430 + 3.07542i) q^{12} +(-3.76935 + 2.17623i) q^{13} +(3.74111 - 0.0642422i) q^{14} +(2.70547 - 2.91551i) q^{15} +(-3.43171 + 2.05509i) q^{16} +(0.373271 + 0.646525i) q^{17} +(2.31016 - 3.55853i) q^{18} +(0.143983 + 0.0831286i) q^{19} +(4.42659 - 1.22408i) q^{20} +(-4.56778 - 0.367925i) q^{21} +(4.60570 - 6.05217i) q^{22} +7.84371 q^{23} +(4.42811 - 2.09567i) q^{24} -0.273259 q^{25} +(6.10582 + 0.779048i) q^{26} +(-3.24036 + 4.06203i) q^{27} +(-4.26526 - 3.13170i) q^{28} +(-6.74853 - 3.89626i) q^{29} +(-5.54167 + 0.964070i) q^{30} +(-2.84963 + 4.93570i) q^{31} +(5.62209 + 0.626217i) q^{32} +(-6.33588 + 6.82777i) q^{33} +(0.133624 - 1.04728i) q^{34} +(3.76177 + 4.77094i) q^{35} +(-5.64749 + 2.02628i) q^{36} +(3.98464 + 2.30053i) q^{37} +(-0.0908447 - 0.216864i) q^{38} +(-7.34960 - 1.67789i) q^{39} +(-6.03003 - 2.41348i) q^{40} +(2.54038 + 4.40007i) q^{41} +(4.82548 + 4.32605i) q^{42} +(-0.147478 - 0.0851467i) q^{43} +(-10.3665 + 2.86665i) q^{44} +(6.86986 - 0.514129i) q^{45} +(-8.82732 - 6.71759i) q^{46} +(2.39779 + 4.15309i) q^{47} +(-6.77820 - 1.43390i) q^{48} +(1.63295 - 6.80687i) q^{49} +(0.307526 + 0.234028i) q^{50} +(-0.287794 + 1.26062i) q^{51} +(-6.20429 - 6.10595i) q^{52} +(0.308355 - 0.178029i) q^{53} +(7.12555 - 1.79626i) q^{54} +12.3493 q^{55} +(2.11805 + 7.17732i) q^{56} +(0.0848655 + 0.275177i) q^{57} +(4.25792 + 10.1645i) q^{58} +(-10.4130 - 6.01193i) q^{59} +(7.06226 + 3.66109i) q^{60} +(-3.93612 + 2.27252i) q^{61} +(7.43406 - 3.11413i) q^{62} +(-5.36589 - 5.84869i) q^{63} +(-5.79079 - 5.51967i) q^{64} +(4.99741 + 8.65577i) q^{65} +(12.9779 - 2.25773i) q^{66} +(7.45859 + 4.30622i) q^{67} +(-1.04730 + 1.06417i) q^{68} +(9.95857 + 9.24113i) q^{69} +(-0.147523 - 8.59092i) q^{70} +12.5155 q^{71} +(8.09106 + 2.55630i) q^{72} +(3.38714 + 5.86670i) q^{73} +(-2.51407 - 6.00159i) q^{74} +(-0.346936 - 0.321943i) q^{75} +(-0.0834925 + 0.321861i) q^{76} +(-8.80961 - 11.1730i) q^{77} +(6.83425 + 8.18271i) q^{78} +(-6.02872 - 10.4421i) q^{79} +(4.71922 + 7.88043i) q^{80} +(-8.89975 + 1.33959i) q^{81} +(0.909406 - 7.12751i) q^{82} +(0.870485 + 0.502575i) q^{83} +(-1.72564 - 9.00123i) q^{84} +(1.48465 - 0.857164i) q^{85} +(0.0930502 + 0.222129i) q^{86} +(-3.97768 - 12.8976i) q^{87} +(14.1216 + 5.65207i) q^{88} +(6.87051 - 11.9001i) q^{89} +(-8.17166 - 5.30496i) q^{90} +(4.26625 - 10.6961i) q^{91} +(4.18113 + 15.1200i) q^{92} +(-9.43299 + 2.90917i) q^{93} +(0.858359 - 6.72742i) q^{94} +(0.190893 - 0.330636i) q^{95} +(6.40015 + 7.41876i) q^{96} +(-6.73904 + 11.6724i) q^{97} +(-7.66733 + 6.26195i) q^{98} +(-16.0884 + 1.20403i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) \) 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	\( 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} - 17 q^{12} - 7 q^{14} - 2 q^{15} + q^{16} - 4 q^{17} + 13 q^{18} + 6 q^{20} + 2 q^{22} - 4 q^{23} + 12 q^{24} - 156 q^{25} - 4 q^{26} - 8 q^{28} - 18 q^{30} + 2 q^{31} + q^{32} + 22 q^{33} - 18 q^{36} + 10 q^{38} - 14 q^{39} + 8 q^{40} - 4 q^{41} + 3 q^{42} + 17 q^{44} - 6 q^{46} + 42 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} - 18 q^{52} - 58 q^{54} + 4 q^{55} - 34 q^{56} - 20 q^{57} - 10 q^{58} + 26 q^{60} + 32 q^{62} + 50 q^{63} - 8 q^{64} + 22 q^{65} + 79 q^{66} + 24 q^{68} + 8 q^{70} - 16 q^{71} - 27 q^{72} - 4 q^{73} - 38 q^{74} - 6 q^{76} - 47 q^{78} + 2 q^{79} - 11 q^{80} + 6 q^{81} + q^{84} + 46 q^{86} + 4 q^{87} + 14 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} + 9 q^{94} + 22 q^{95} - 16 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) \) 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 - 17 * q^12 - 7 * q^14 - 2 * q^15 + q^16 - 4 * q^17 + 13 * q^18 + 6 * q^20 + 2 * q^22 - 4 * q^23 + 12 * q^24 - 156 * q^25 - 4 * q^26 - 8 * q^28 - 18 * q^30 + 2 * q^31 + q^32 + 22 * q^33 - 18 * q^36 + 10 * q^38 - 14 * q^39 + 8 * q^40 - 4 * q^41 + 3 * q^42 + 17 * q^44 - 6 * q^46 + 42 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 - 18 * q^52 - 58 * q^54 + 4 * q^55 - 34 * q^56 - 20 * q^57 - 10 * q^58 + 26 * q^60 + 32 * q^62 + 50 * q^63 - 8 * q^64 + 22 * q^65 + 79 * q^66 + 24 * q^68 + 8 * q^70 - 16 * q^71 - 27 * q^72 - 4 * q^73 - 38 * q^74 - 6 * q^76 - 47 * q^78 + 2 * q^79 - 11 * q^80 + 6 * q^81 + q^84 + 46 * q^86 + 4 * q^87 + 14 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 + 9 * q^94 + 22 * q^95 - 16 * q^96 - 4 * q^97 - 83 * q^98

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