LMFDB - Embedded newform 418.2.j.a.199.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [418,2,Mod(23,418)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(418, base_ring=CyclotomicField(18))

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

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

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

chi := DirichletCharacter("418.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 418 = 2 \cdot 11 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	418.j (of order $9$, 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:	$3.33774680449$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$4$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			199.2
Character	$\chi$	$=$	418.199
Dual form			418.2.j.a.397.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.173648 - 0.984808i) q^{2} +(-0.404607 + 0.339506i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(2.97940 + 1.08441i) q^{5} +(0.404607 + 0.339506i) q^{6} +(0.0238226 - 0.0412620i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-0.472502 + 2.67969i) q^{9} +O(q^{10})$	\(q+(-0.173648 - 0.984808i) q^{2} +(-0.404607 + 0.339506i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(2.97940 + 1.08441i) q^{5} +(0.404607 + 0.339506i) q^{6} +(0.0238226 - 0.0412620i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-0.472502 + 2.67969i) q^{9} +(0.550571 - 3.12244i) q^{10} +(0.500000 + 0.866025i) q^{11} +(0.264089 - 0.457415i) q^{12} +(-1.99434 - 1.67345i) q^{13} +(-0.0447719 - 0.0162956i) q^{14} +(-1.57365 + 0.572762i) q^{15} +(0.766044 - 0.642788i) q^{16} +(1.16693 + 6.61800i) q^{17} +2.72103 q^{18} +(-1.25799 + 4.17342i) q^{19} -3.17061 q^{20} +(0.00436988 + 0.0247828i) q^{21} +(0.766044 - 0.642788i) q^{22} +(6.12779 - 2.23033i) q^{23} +(-0.496324 - 0.180647i) q^{24} +(3.87064 + 3.24786i) q^{25} +(-1.30171 + 2.25463i) q^{26} +(-1.51086 - 2.61688i) q^{27} +(-0.00827352 + 0.0469214i) q^{28} +(0.334302 - 1.89592i) q^{29} +(0.837322 + 1.45028i) q^{30} +(3.96884 - 6.87423i) q^{31} +(-0.766044 - 0.642788i) q^{32} +(-0.496324 - 0.180647i) q^{33} +(6.31482 - 2.29841i) q^{34} +(0.115722 - 0.0971024i) q^{35} +(-0.472502 - 2.67969i) q^{36} +8.66810 q^{37} +(4.32847 + 0.514174i) q^{38} +1.37507 q^{39} +(0.550571 + 3.12244i) q^{40} +(-1.96663 + 1.65020i) q^{41} +(0.0236475 - 0.00860699i) q^{42} +(-10.0358 - 3.65273i) q^{43} +(-0.766044 - 0.642788i) q^{44} +(-4.31366 + 7.47148i) q^{45} +(-3.26053 - 5.64740i) q^{46} +(0.944445 - 5.35622i) q^{47} +(-0.0917170 + 0.520153i) q^{48} +(3.49886 + 6.06021i) q^{49} +(2.52638 - 4.37583i) q^{50} +(-2.71900 - 2.28151i) q^{51} +(2.44642 + 0.890424i) q^{52} +(2.98134 - 1.08512i) q^{53} +(-2.31477 + 1.94232i) q^{54} +(0.550571 + 3.12244i) q^{55} +0.0476453 q^{56} +(-0.907908 - 2.11569i) q^{57} -1.92517 q^{58} +(1.09220 + 6.19419i) q^{59} +(1.28285 - 1.07644i) q^{60} +(0.302699 - 0.110173i) q^{61} +(-7.45897 - 2.71484i) q^{62} +(0.0993132 + 0.0833337i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-4.12723 - 7.14856i) q^{65} +(-0.0917170 + 0.520153i) q^{66} +(0.0865342 - 0.490760i) q^{67} +(-3.36005 - 5.81977i) q^{68} +(-1.72214 + 2.98283i) q^{69} +(-0.115722 - 0.0971024i) q^{70} +(-12.4218 - 4.52117i) q^{71} +(-2.55693 + 0.930647i) q^{72} +(-3.76378 + 3.15818i) q^{73} +(-1.50520 - 8.53641i) q^{74} -2.66876 q^{75} +(-0.245268 - 4.35199i) q^{76} +0.0476453 q^{77} +(-0.238779 - 1.35418i) q^{78} +(2.86210 - 2.40159i) q^{79} +(2.97940 - 1.08441i) q^{80} +(-6.17104 - 2.24607i) q^{81} +(1.96663 + 1.65020i) q^{82} +(7.22109 - 12.5073i) q^{83} +(-0.0125826 - 0.0217937i) q^{84} +(-3.69989 + 20.9831i) q^{85} +(-1.85454 + 10.5176i) q^{86} +(0.508415 + 0.880600i) q^{87} +(-0.500000 + 0.866025i) q^{88} +(-13.4593 - 11.2937i) q^{89} +(8.10703 + 2.95072i) q^{90} +(-0.116560 + 0.0424245i) q^{91} +(-4.99542 + 4.19166i) q^{92} +(0.728020 + 4.12881i) q^{93} -5.43884 q^{94} +(-8.27377 + 11.0701i) q^{95} +0.528177 q^{96} +(2.59266 + 14.7037i) q^{97} +(5.36057 - 4.49805i) q^{98} +(-2.55693 + 0.930647i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q + 12 q^{8}+O(q^{10}) $ 24 * q + 12 * q^8	$ 24 q + 12 q^{8} + 12 q^{11} - 3 q^{12} - 3 q^{13} + 3 q^{14} + 27 q^{15} - 6 q^{18} - 21 q^{19} - 18 q^{20} + 15 q^{21} + 9 q^{23} + 36 q^{25} - 21 q^{27} - 3 q^{28} - 9 q^{30} - 27 q^{31} - 9 q^{34} - 45 q^{35} + 18 q^{37} + 9 q^{38} + 36 q^{39} - 18 q^{41} + 39 q^{42} - 48 q^{43} + 36 q^{45} - 18 q^{46} - 9 q^{47} + 6 q^{49} + 3 q^{50} - 18 q^{51} - 3 q^{52} - 36 q^{53} - 45 q^{54} + 18 q^{58} + 9 q^{59} - 9 q^{60} + 15 q^{61} - 33 q^{62} + 87 q^{63} - 12 q^{64} - 36 q^{65} + 33 q^{67} + 9 q^{68} - 18 q^{69} + 45 q^{70} - 9 q^{71} - 3 q^{73} + 3 q^{74} + 42 q^{75} + 9 q^{76} + 12 q^{78} + 15 q^{79} - 108 q^{81} + 18 q^{82} + 36 q^{83} - 9 q^{84} - 99 q^{85} - 33 q^{86} + 63 q^{87} - 12 q^{88} - 27 q^{89} - 36 q^{90} - 21 q^{91} - 9 q^{92} - 21 q^{93} + 54 q^{94} + 18 q^{95} - 6 q^{96} + 45 q^{97} + 39 q^{98}+O(q^{100}) $ 24 * q + 12 * q^8 + 12 * q^11 - 3 * q^12 - 3 * q^13 + 3 * q^14 + 27 * q^15 - 6 * q^18 - 21 * q^19 - 18 * q^20 + 15 * q^21 + 9 * q^23 + 36 * q^25 - 21 * q^27 - 3 * q^28 - 9 * q^30 - 27 * q^31 - 9 * q^34 - 45 * q^35 + 18 * q^37 + 9 * q^38 + 36 * q^39 - 18 * q^41 + 39 * q^42 - 48 * q^43 + 36 * q^45 - 18 * q^46 - 9 * q^47 + 6 * q^49 + 3 * q^50 - 18 * q^51 - 3 * q^52 - 36 * q^53 - 45 * q^54 + 18 * q^58 + 9 * q^59 - 9 * q^60 + 15 * q^61 - 33 * q^62 + 87 * q^63 - 12 * q^64 - 36 * q^65 + 33 * q^67 + 9 * q^68 - 18 * q^69 + 45 * q^70 - 9 * q^71 - 3 * q^73 + 3 * q^74 + 42 * q^75 + 9 * q^76 + 12 * q^78 + 15 * q^79 - 108 * q^81 + 18 * q^82 + 36 * q^83 - 9 * q^84 - 99 * q^85 - 33 * q^86 + 63 * q^87 - 12 * q^88 - 27 * q^89 - 36 * q^90 - 21 * q^91 - 9 * q^92 - 21 * q^93 + 54 * q^94 + 18 * q^95 - 6 * q^96 + 45 * q^97 + 39 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/418\mathbb{Z}\right)^\times$.

$n$	$287$	$343$
$\chi(n)$	$e\left(\frac{4}{9}\right)$	$1$

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 $

$2$	−0.173648	−	0.984808i	−0.122788	−	0.696364i
$2$	−0.173648	−	0.984808i	−0.122788	−	0.696364i
$3$	−0.404607	+	0.339506i	−0.233600	+	0.196014i	−0.752072	−	0.659081i	$-0.770945\pi$
$3$	−0.404607	+	0.339506i	−0.233600	+	0.196014i	0.518472	+	0.855095i	$0.326501\pi$
$4$	−0.939693	+	0.342020i	−0.469846	+	0.171010i
$5$	2.97940	+	1.08441i	1.33243	+	0.484964i	0.907420	−	0.420226i	$-0.138049\pi$
$5$	2.97940	+	1.08441i	1.33243	+	0.484964i	0.425008	+	0.905190i	$0.360271\pi$
$6$	0.404607	+	0.339506i	0.165180	+	0.138603i
$7$	0.0238226	−	0.0412620i	0.00900411	−	0.0155956i	−0.861488	−	0.507778i	$-0.830467\pi$
$7$	0.0238226	−	0.0412620i	0.00900411	−	0.0155956i	0.870492	+	0.492182i	$0.163801\pi$
$8$	0.500000	+	0.866025i	0.176777	+	0.306186i
$9$	−0.472502	+	2.67969i	−0.157501	+	0.893230i
$10$	0.550571	−	3.12244i	0.174106	−	0.987403i
$11$	0.500000	+	0.866025i	0.150756	+	0.261116i
$11$	0.500000	+	0.866025i	0.150756	+	0.261116i
$12$	0.264089	−	0.457415i	0.0762358	−	0.132044i
$13$	−1.99434	−	1.67345i	−0.553131	−	0.464132i	0.322869	−	0.946444i	$-0.395353\pi$
$13$	−1.99434	−	1.67345i	−0.553131	−	0.464132i	−0.875999	+	0.482312i	$0.839797\pi$
$14$	−0.0447719	−	0.0162956i	−0.0119658	−	0.00435519i
$15$	−1.57365	+	0.572762i	−0.406315	+	0.147887i
$16$	0.766044	−	0.642788i	0.191511	−	0.160697i
$17$	1.16693	+	6.61800i	0.283023	+	1.60510i	0.712265	+	0.701911i	$0.247670\pi$
$17$	1.16693	+	6.61800i	0.283023	+	1.60510i	−0.429242	+	0.903190i	$0.641219\pi$
$18$	2.72103			0.641353
$19$	−1.25799	+	4.17342i	−0.288603	+	0.957449i
$19$	−1.25799	+	4.17342i	−0.288603	+	0.957449i
$20$	−3.17061			−0.708970
$21$	0.00436988	+	0.0247828i	0.000953587	+	0.00540806i
$22$	0.766044	−	0.642788i	0.163321	−	0.137043i
$23$	6.12779	−	2.23033i	1.27773	−	0.465057i	0.388051	−	0.921638i	$-0.373148\pi$
$23$	6.12779	−	2.23033i	1.27773	−	0.465057i	0.889682	+	0.456581i	$0.150926\pi$
$24$	−0.496324	−	0.180647i	−0.101312	−	0.0368745i
$25$	3.87064	+	3.24786i	0.774129	+	0.649571i
$26$	−1.30171	+	2.25463i	−0.255287	+	0.442170i
$27$	−1.51086	−	2.61688i	−0.290765	−	0.503620i
$28$	−0.00827352	+	0.0469214i	−0.00156355	+	0.00886732i
$29$	0.334302	−	1.89592i	0.0620782	−	0.352063i	−0.937908	−	0.346883i	$-0.887240\pi$
$29$	0.334302	−	1.89592i	0.0620782	−	0.352063i	0.999987	−	0.00518005i	$-0.00164887\pi$
$30$	0.837322	+	1.45028i	0.152873	+	0.264785i
$31$	3.96884	−	6.87423i	0.712824	−	1.23465i	−0.250969	−	0.967995i	$-0.580749\pi$
$31$	3.96884	−	6.87423i	0.712824	−	1.23465i	0.963793	−	0.266653i	$-0.0859176\pi$
$32$	−0.766044	−	0.642788i	−0.135419	−	0.113630i
$33$	−0.496324	−	0.180647i	−0.0863990	−	0.0314467i
$34$	6.31482	−	2.29841i	1.08298	−	0.394174i
$35$	0.115722	−	0.0971024i	0.0195606	−	0.0164133i
$36$	−0.472502	−	2.67969i	−0.0787503	−	0.446615i
$37$	8.66810			1.42503			0.712514	−	0.701658i	$-0.247557\pi$
$37$	8.66810			1.42503			0.712514	+	0.701658i	$0.247557\pi$
$38$	4.32847	+	0.514174i	0.702170	+	0.0834100i
$39$	1.37507			0.220188
$40$	0.550571	+	3.12244i	0.0870529	+	0.493701i
$41$	−1.96663	+	1.65020i	−0.307136	+	0.257718i	−0.783307	−	0.621635i	$-0.786469\pi$
$41$	−1.96663	+	1.65020i	−0.307136	+	0.257718i	0.476171	+	0.879353i	$0.342024\pi$
$42$	0.0236475	−	0.00860699i	0.00364889	−	0.00132809i
$43$	−10.0358	−	3.65273i	−1.53044	−	0.557036i	−0.566713	−	0.823915i	$-0.691785\pi$
$43$	−10.0358	−	3.65273i	−1.53044	−	0.557036i	−0.963730	+	0.266879i	$0.914007\pi$
$44$	−0.766044	−	0.642788i	−0.115486	−	0.0969039i
$45$	−4.31366	+	7.47148i	−0.643043	+	1.11378i
$46$	−3.26053	−	5.64740i	−0.480739	−	0.832664i
$47$	0.944445	−	5.35622i	0.137762	−	0.781284i	−0.835135	−	0.550045i	$-0.814611\pi$
$47$	0.944445	−	5.35622i	0.137762	−	0.781284i	0.972897	−	0.231240i	$-0.0742782\pi$
$48$	−0.0917170	+	0.520153i	−0.0132382	+	0.0750776i
$49$	3.49886	+	6.06021i	0.499838	+	0.865745i
$50$	2.52638	−	4.37583i	0.357285	−	0.618835i
$51$	−2.71900	−	2.28151i	−0.380736	−	0.319475i
$52$	2.44642	+	0.890424i	0.339258	+	0.123480i
$53$	2.98134	−	1.08512i	0.409519	−	0.149053i	−0.129042	−	0.991639i	$-0.541190\pi$
$53$	2.98134	−	1.08512i	0.409519	−	0.149053i	0.538561	+	0.842586i	$0.318968\pi$
$54$	−2.31477	+	1.94232i	−0.315000	+	0.264317i
$55$	0.550571	+	3.12244i	0.0742389	+	0.421030i
$56$	0.0476453			0.00636687
$57$	−0.907908	−	2.11569i	−0.120255	−	0.280230i
$58$	−1.92517			−0.252787
$59$	1.09220	+	6.19419i	0.142193	+	0.806415i	0.969578	+	0.244781i	$0.0787161\pi$
$59$	1.09220	+	6.19419i	0.142193	+	0.806415i	−0.827386	+	0.561634i	$0.810173\pi$
$60$	1.28285	−	1.07644i	0.165615	−	0.138968i
$61$	0.302699	−	0.110173i	0.0387566	−	0.0141063i	−0.322569	−	0.946546i	$-0.604546\pi$
$61$	0.302699	−	0.110173i	0.0387566	−	0.0141063i	0.361326	+	0.932440i	$0.382324\pi$
$62$	−7.45897	−	2.71484i	−0.947291	−	0.344786i
$63$	0.0993132	+	0.0833337i	0.0125123	+	0.0104991i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	−4.12723	−	7.14856i	−0.511919	−	0.886670i
$66$	−0.0917170	+	0.520153i	−0.0112896	+	0.0640264i
$67$	0.0865342	−	0.490760i	0.0105718	−	0.0599559i	−0.979065	−	0.203546i	$-0.934753\pi$
$67$	0.0865342	−	0.490760i	0.0105718	−	0.0599559i	0.989637	+	0.143590i	$0.0458646\pi$
$68$	−3.36005	−	5.81977i	−0.407465	−	0.705751i
$69$	−1.72214	+	2.98283i	−0.207321	+	0.359090i
$70$	−0.115722	−	0.0971024i	−0.0138314	−	0.0116060i
$71$	−12.4218	−	4.52117i	−1.47420	−	0.536564i	−0.524960	−	0.851127i	$-0.675920\pi$
$71$	−12.4218	−	4.52117i	−1.47420	−	0.536564i	−0.949237	+	0.314563i	$0.898142\pi$
$72$	−2.55693	+	0.930647i	−0.301337	+	0.109678i
$73$	−3.76378	+	3.15818i	−0.440517	+	0.369637i	−0.835903	−	0.548878i	$-0.815055\pi$
$73$	−3.76378	+	3.15818i	−0.440517	+	0.369637i	0.395386	+	0.918515i	$0.370611\pi$
$74$	−1.50520	−	8.53641i	−0.174976	−	0.992338i
$75$	−2.66876			−0.308162
$76$	−0.245268	−	4.35199i	−0.0281341	−	0.499208i
$77$	0.0476453			0.00542968
$78$	−0.238779	−	1.35418i	−0.0270363	−	0.153331i
$79$	2.86210	−	2.40159i	0.322012	−	0.270200i	−0.467424	−	0.884033i	$-0.654818\pi$
$79$	2.86210	−	2.40159i	0.322012	−	0.270200i	0.789436	+	0.613833i	$0.210373\pi$
$80$	2.97940	−	1.08441i	0.333107	−	0.121241i
$81$	−6.17104	−	2.24607i	−0.685671	−	0.249564i
$82$	1.96663	+	1.65020i	0.217178	+	0.182234i
$83$	7.22109	−	12.5073i	0.792617	−	1.37285i	−0.131724	−	0.991286i	$-0.542051\pi$
$83$	7.22109	−	12.5073i	0.792617	−	1.37285i	0.924341	−	0.381567i	$-0.124616\pi$
$84$	−0.0125826	−	0.0217937i	−0.00137287	−	0.00237788i
$85$	−3.69989	+	20.9831i	−0.401309	+	2.27594i
$86$	−1.85454	+	10.5176i	−0.199980	+	1.13414i
$87$	0.508415	+	0.880600i	0.0545078	+	0.0944102i
$88$	−0.500000	+	0.866025i	−0.0533002	+	0.0923186i
$89$	−13.4593	−	11.2937i	−1.42668	−	1.19713i	−0.947641	−	0.319338i	$-0.896540\pi$
$89$	−13.4593	−	11.2937i	−1.42668	−	1.19713i	−0.479043	−	0.877792i	$-0.659016\pi$
$90$	8.10703	+	2.95072i	0.854556	+	0.311033i
$91$	−0.116560	+	0.0424245i	−0.0122189	+	0.00444730i
$92$	−4.99542	+	4.19166i	−0.520809	+	0.437010i
$93$	0.728020	+	4.12881i	0.0754921	+	0.428137i
$94$	−5.43884			−0.560974
$95$	−8.27377	+	11.0701i	−0.848871	+	1.13577i
$96$	0.528177			0.0539069
$97$	2.59266	+	14.7037i	0.263245	+	1.49294i	0.773986	+	0.633202i	$0.218260\pi$
$97$	2.59266	+	14.7037i	0.263245	+	1.49294i	−0.510741	+	0.859735i	$0.670629\pi$
$98$	5.36057	−	4.49805i	0.541500	−	0.454372i
$99$	−2.55693	+	0.930647i	−0.256981	+	0.0935335i
$100$	−4.74805	−	1.72815i	−0.474805	−	0.172815i
$101$	−5.69068	−	4.77505i	−0.566244	−	0.475135i	0.314153	−	0.949372i	$-0.398279\pi$
$101$	−5.69068	−	4.77505i	−0.566244	−	0.475135i	−0.880397	+	0.474237i	$0.842724\pi$
$102$	−1.77470	+	3.07387i	−0.175722	+	0.304359i
$103$	−6.85826	−	11.8789i	−0.675765	−	1.17046i	−0.976245	−	0.216671i	$-0.930480\pi$
$103$	−6.85826	−	11.8789i	−0.675765	−	1.17046i	0.300480	−	0.953788i	$-0.402853\pi$
$104$	0.452080	−	2.56387i	0.0443301	−	0.251409i
$105$	−0.0138552	+	0.0785767i	−0.00135213	+	0.00766830i
$106$	−1.58634	−	2.74762i	−0.154079	−	0.266872i
$107$	−6.27749	+	10.8729i	−0.606868	+	1.05113i	0.384885	+	0.922964i	$0.374241\pi$
$107$	−6.27749	+	10.8729i	−0.606868	+	1.05113i	−0.991753	+	0.128162i	$0.959092\pi$
$108$	2.31477	+	1.94232i	0.222739	+	0.186900i
$109$	−4.39081	−	1.59812i	−0.420563	−	0.153073i	0.123065	−	0.992399i	$-0.460728\pi$
$109$	−4.39081	−	1.59812i	−0.420563	−	0.153073i	−0.543628	+	0.839326i	$0.682950\pi$
$110$	2.97940	−	1.08441i	0.284075	−	0.103395i
$111$	−3.50718	+	2.94287i	−0.332887	+	0.279325i
$112$	−0.00827352	−	0.0469214i	−0.000781774	−	0.00443366i
$113$	17.4117			1.63796			0.818978	−	0.573825i	$-0.194541\pi$
$113$	17.4117			1.63796			0.818978	+	0.573825i	$0.194541\pi$
$114$	−1.92589	+	1.26150i	−0.180377	+	0.118150i
$115$	20.6757			1.92802
$116$	0.334302	+	1.89592i	0.0310391	+	0.176032i
$117$	5.42666	−	4.55351i	0.501695	−	0.420972i
$118$	5.91043	−	2.15122i	0.544099	−	0.198036i
$119$	0.300871	+	0.109508i	0.0275808	+	0.0100386i
$120$	−1.28285	−	1.07644i	−0.117108	−	0.0982651i
$121$	−0.500000	+	0.866025i	−0.0454545	+	0.0787296i
$122$	−0.161063	−	0.278969i	−0.0145819	−	0.0252567i
$123$	0.235461	−	1.33537i	0.0212308	−	0.120406i
$124$	−1.37836	+	7.81708i	−0.123781	+	0.701995i
$125$	0.0836528	+	0.144891i	0.00748214	+	0.0129594i
$126$	0.0648221	−	0.112275i	0.00577481	−	0.0100023i
$127$	2.74636	+	2.30447i	0.243700	+	0.204488i	0.756454	−	0.654047i	$-0.226930\pi$
$127$	2.74636	+	2.30447i	0.243700	+	0.204488i	−0.512754	+	0.858536i	$0.671375\pi$
$128$	0.939693	+	0.342020i	0.0830579	+	0.0302306i
$129$	5.30067	−	1.92929i	0.466698	−	0.169864i
$130$	−6.32328	+	5.30586i	−0.554588	+	0.465355i
$131$	−2.18927	−	12.4159i	−0.191277	−	1.08479i	−0.917622	−	0.397455i	$-0.869893\pi$
$131$	−2.18927	−	12.4159i	−0.191277	−	1.08479i	0.726345	−	0.687331i	$-0.241218\pi$
$132$	0.528177			0.0459719
$133$	0.142235	+	0.151329i	0.0123333	+	0.0131219i
$134$	−0.498331			−0.0430492
$135$	−1.66367	−	9.43514i	−0.143186	−	0.812047i
$136$	−5.14789	+	4.31959i	−0.441428	+	0.370402i
$137$	−3.34514	+	1.21753i	−0.285795	+	0.104021i	−0.480940	−	0.876754i	$-0.659704\pi$
$137$	−3.34514	+	1.21753i	−0.285795	+	0.104021i	0.195145	+	0.980774i	$0.437482\pi$
$138$	3.23656	+	1.17801i	0.275514	+	0.100279i
$139$	6.35346	+	5.33118i	0.538893	+	0.452185i	0.871159	−	0.491001i	$-0.163369\pi$
$139$	6.35346	+	5.33118i	0.538893	+	0.452185i	−0.332266	+	0.943186i	$0.607813\pi$
$140$	−0.0755323	+	0.130826i	−0.00638364	+	0.0110568i
$141$	1.43634	+	2.48781i	0.120961	+	0.209511i
$142$	−2.29546	+	13.0182i	−0.192630	+	1.09246i
$143$	0.452080	−	2.56387i	0.0378049	−	0.214402i
$144$	1.36051	+	2.35648i	0.113376	+	0.196373i
$145$	3.05198	−	5.28618i	0.253453	−	0.438993i
$146$	3.76378	+	3.15818i	0.311492	+	0.261373i
$147$	−3.47314	−	1.26412i	−0.286460	−	0.104263i
$148$	−8.14535	+	2.96467i	−0.669544	+	0.243694i
$149$	7.64679	−	6.41641i	0.626449	−	0.525653i	−0.273374	−	0.961908i	$-0.588140\pi$
$149$	7.64679	−	6.41641i	0.626449	−	0.525653i	0.899823	+	0.436255i	$0.143695\pi$
$150$	0.463425	+	2.62821i	0.0378385	+	0.214593i
$151$	−0.995373			−0.0810023			−0.0405012	−	0.999179i	$-0.512895\pi$
$151$	−0.995373			−0.0810023			−0.0405012	+	0.999179i	$0.512895\pi$
$152$	−4.24329	+	0.997257i	−0.344176	+	0.0808882i
$153$	−18.2856			−1.47830
$154$	−0.00827352	−	0.0469214i	−0.000666699	−	0.00378104i
$155$	19.2792	−	16.1772i	1.54855	−	1.29938i
$156$	−1.29214	+	0.470302i	−0.103454	+	0.0376543i
$157$	−15.6122	−	5.68239i	−1.24599	−	0.453504i	−0.366946	−	0.930242i	$-0.619597\pi$
$157$	−15.6122	−	5.68239i	−1.24599	−	0.453504i	−0.879045	+	0.476738i	$0.841819\pi$
$158$	−2.86210	−	2.40159i	−0.227697	−	0.191060i
$159$	−0.837868	+	1.45123i	−0.0664473	+	0.115090i
$160$	−1.58530	−	2.74583i	−0.125329	−	0.217077i
$161$	0.0539521	−	0.305977i	0.00425202	−	0.0241144i
$162$	−1.14036	+	6.46731i	−0.0895953	+	0.508120i
$163$	4.56820	+	7.91236i	0.357809	+	0.619744i	0.987595	−	0.157026i	$-0.0501905\pi$
$163$	4.56820	+	7.91236i	0.357809	+	0.619744i	−0.629785	+	0.776769i	$0.716857\pi$
$164$	1.28363	−	2.22331i	0.100234	−	0.173611i
$165$	−1.28285	−	1.07644i	−0.0998699	−	0.0838008i
$166$	−13.5712	−	4.93952i	−1.05333	−	0.383381i
$167$	6.44611	−	2.34619i	0.498815	−	0.181554i	−0.0803458	−	0.996767i	$-0.525602\pi$
$167$	6.44611	−	2.34619i	0.498815	−	0.181554i	0.579161	+	0.815213i	$0.303380\pi$
$168$	−0.0192776	+	0.0161758i	−0.00148730	+	0.00124799i
$169$	−1.08047	−	6.12764i	−0.0831129	−	0.471357i
$170$	21.3068			1.63416
$171$	−10.5891	−	5.34298i	−0.809767	−	0.408588i
$172$	10.6799			0.814332
$173$	−2.64994	−	15.0286i	−0.201471	−	1.14260i	−0.902897	−	0.429857i	$-0.858564\pi$
$173$	−2.64994	−	15.0286i	−0.201471	−	1.14260i	0.701426	−	0.712743i	$-0.252547\pi$
$174$	0.778936	−	0.653605i	0.0590510	−	0.0495497i
$175$	0.226222	−	0.0823381i	0.0171008	−	0.00622418i
$176$	0.939693	+	0.342020i	0.0708320	+	0.0257807i
$177$	−2.54488	−	2.13541i	−0.191285	−	0.160507i
$178$	−8.78494	+	15.2160i	−0.658459	+	1.14048i
$179$	−2.67080	−	4.62596i	−0.199625	−	0.345761i	0.748782	−	0.662816i	$-0.230639\pi$
$179$	−2.67080	−	4.62596i	−0.199625	−	0.345761i	−0.948407	+	0.317056i	$0.897306\pi$
$180$	1.49812	−	8.49625i	0.111663	−	0.633273i
$181$	−1.77540	+	10.0688i	−0.131965	+	0.748408i	0.844961	+	0.534828i	$0.179624\pi$
$181$	−1.77540	+	10.0688i	−0.131965	+	0.748408i	−0.976926	+	0.213580i	$0.931487\pi$
$182$	0.0620205	+	0.107423i	0.00459727	+	0.00796270i
$183$	−0.0850697	+	0.147345i	−0.00628854	+	0.0108921i
$184$	4.99542	+	4.19166i	0.368267	+	0.309013i
$185$	25.8257	+	9.39980i	1.89875	+	0.691087i
$186$	3.93966	−	1.43392i	0.288870	−	0.105140i
$187$	−5.14789	+	4.31959i	−0.376451	+	0.315880i
$188$	0.944445	+	5.35622i	0.0688808	+	0.390642i
$189$	−0.143971			−0.0104723
$190$	12.3387	+	6.22577i	0.895140	+	0.451665i
$191$	−6.76552			−0.489536			−0.244768	−	0.969582i	$-0.578712\pi$
$191$	−6.76552			−0.489536			−0.244768	+	0.969582i	$0.578712\pi$
$192$	−0.0917170	−	0.520153i	−0.00661911	−	0.0375388i
$193$	9.94726	−	8.34674i	0.716020	−	0.600812i	−0.210261	−	0.977645i	$-0.567432\pi$
$193$	9.94726	−	8.34674i	0.716020	−	0.600812i	0.926281	+	0.376833i	$0.122987\pi$
$194$	14.0301	−	5.10655i	1.00730	−	0.366629i
$195$	4.09688	+	1.49114i	0.293384	+	0.106783i
$196$	−5.36057	−	4.49805i	−0.382898	−	0.321290i
$197$	9.96199	−	17.2547i	0.709762	−	1.22934i	−0.255183	−	0.966893i	$-0.582136\pi$
$197$	9.96199	−	17.2547i	0.709762	−	1.22934i	0.964945	−	0.262451i	$-0.0845310\pi$
$198$	1.36051	+	2.35648i	0.0966875	+	0.167468i
$199$	−0.747196	+	4.23756i	−0.0529673	+	0.300392i	−0.999771	−	0.0214205i	$-0.993181\pi$
$199$	−0.747196	+	4.23756i	−0.0529673	+	0.300392i	0.946803	+	0.321813i	$0.104292\pi$
$200$	−0.877404	+	4.97600i	−0.0620418	+	0.351857i
$201$	0.131604	+	0.227944i	0.00928260	+	0.0160779i
$202$	−3.71433	+	6.43340i	−0.261339	+	0.452653i
$203$	−0.0702655	−	0.0589597i	−0.00493167	−	0.00413816i
$204$	3.33535	+	1.21397i	0.233521	+	0.0849947i
$205$	−7.64888	+	2.78396i	−0.534221	+	0.194440i
$206$	−10.5075	+	8.81681i	−0.732090	+	0.614296i
$207$	3.08121	+	17.4744i	0.214159	+	1.21456i
$208$	−2.60343			−0.180515
$209$	−4.24329	+	0.997257i	−0.293514	+	0.0689817i
$210$	0.0797889			0.00550596
$211$	−0.0783276	−	0.444218i	−0.00539230	−	0.0305812i	0.981993	−	0.188918i	$-0.0604980\pi$
$211$	−0.0783276	−	0.444218i	−0.00539230	−	0.0305812i	−0.987385	+	0.158337i	$0.949387\pi$
$212$	−2.43041	+	2.03936i	−0.166921	+	0.140064i
$213$	6.56091	−	2.38798i	0.449546	−	0.163622i
$214$	11.7978	+	4.29406i	0.806483	+	0.293536i
$215$	−25.9395	−	21.7659i	−1.76906	−	1.48442i
$216$	1.51086	−	2.61688i	0.102801	−	0.178056i
$217$	−0.189096	−	0.327524i	−0.0128367	−	0.0222338i
$218$	−0.811389	+	4.60162i	−0.0549542	+	0.311661i
$219$	0.450630	−	2.55565i	0.0304507	−	0.172695i
$220$	−1.58530	−	2.74583i	−0.106881	−	0.185124i
$221$	8.74764	−	15.1513i	0.588430	−	1.01919i
$222$	3.50718	+	2.94287i	0.235386	+	0.197513i
$223$	13.5652	+	4.93734i	0.908395	+	0.330629i	0.753612	−	0.657320i	$-0.228310\pi$
$223$	13.5652	+	4.93734i	0.908395	+	0.330629i	0.154783	+	0.987948i	$0.450532\pi$
$224$	−0.0447719	+	0.0162956i	−0.00299145	+	0.00108880i
$225$	−10.5321	+	8.83751i	−0.702142	+	0.589167i
$226$	−3.02351	−	17.1472i	−0.201121	−	1.14061i
$227$	−1.17835			−0.0782101			−0.0391051	−	0.999235i	$-0.512451\pi$
$227$	−1.17835			−0.0782101			−0.0391051	+	0.999235i	$0.512451\pi$
$228$	1.57676	+	1.67758i	0.104424	+	0.111100i
$229$	13.8792			0.917161			0.458581	−	0.888653i	$-0.348358\pi$
$229$	13.8792			0.917161			0.458581	+	0.888653i	$0.348358\pi$
$230$	−3.59030	−	20.3616i	−0.236738	−	1.34261i
$231$	−0.0192776	+	0.0161758i	−0.00126837	+	0.00106429i
$232$	1.80906	−	0.658446i	0.118771	−	0.0432291i
$233$	26.4887	+	9.64111i	1.73534	+	0.631610i	0.998987	−	0.0449925i	$-0.0143264\pi$
$233$	26.4887	+	9.64111i	1.73534	+	0.631610i	0.736348	+	0.676603i	$0.236549\pi$
$234$	−5.42666	−	4.55351i	−0.354752	−	0.297672i
$235$	8.62223	−	14.9341i	0.562452	−	0.974196i
$236$	−3.14487	−	5.44708i	−0.204714	−	0.354575i
$237$	−0.342674	+	1.94340i	−0.0222591	+	0.126237i
$238$	0.0555988	−	0.315316i	0.00360393	−	0.0204389i
$239$	8.82220	+	15.2805i	0.570661	+	0.988414i	0.996498	+	0.0836140i	$0.0266463\pi$
$239$	8.82220	+	15.2805i	0.570661	+	0.988414i	−0.425837	+	0.904800i	$0.640020\pi$
$240$	−0.837322	+	1.45028i	−0.0540489	+	0.0936155i
$241$	16.9410	+	14.2152i	1.09127	+	0.915681i	0.996807	−	0.0798480i	$-0.0254435\pi$
$241$	16.9410	+	14.2152i	1.09127	+	0.915681i	0.0944588	+	0.995529i	$0.469888\pi$
$242$	0.939693	+	0.342020i	0.0604057	+	0.0219859i
$243$	11.7779	−	4.28679i	0.755550	−	0.274998i
$244$	−0.246763	+	0.207058i	−0.0157974	+	0.0132556i
$245$	3.85274	+	21.8500i	0.246143	+	1.39595i
$246$	−1.35597			−0.0864532
$247$	9.49288	−	6.21804i	0.604018	−	0.395644i
$248$	7.93767			0.504043
$249$	1.32459	+	7.51214i	0.0839427	+	0.476063i
$250$	0.128164	−	0.107542i	0.00810578	−	0.00680155i
$251$	15.0269	−	5.46935i	0.948490	−	0.345222i	0.178977	−	0.983853i	$-0.442721\pi$
$251$	15.0269	−	5.46935i	0.948490	−	0.345222i	0.769513	+	0.638631i	$0.220499\pi$
$252$	−0.121826	−	0.0443409i	−0.00767430	−	0.00279322i
$253$	4.99542	+	4.19166i	0.314059	+	0.263527i
$254$	1.79256	−	3.10480i	0.112475	−	0.194812i
$255$	−5.62688	−	9.74605i	−0.352369	−	0.610321i
$256$	0.173648	−	0.984808i	0.0108530	−	0.0615505i
$257$	3.56860	−	20.2385i	0.222603	−	1.26245i	−0.644611	−	0.764511i	$-0.722981\pi$
$257$	3.56860	−	20.2385i	0.222603	−	1.26245i	0.867214	−	0.497935i	$-0.165908\pi$
$258$	−2.82043	−	4.88513i	−0.175592	−	0.304135i
$259$	0.206497	−	0.357663i	0.0128311	−	0.0222241i
$260$	6.32328	+	5.30586i	0.392153	+	0.329055i
$261$	4.92252	+	1.79165i	0.304696	+	0.110900i
$262$	−11.8472	+	4.31201i	−0.731920	+	0.266397i
$263$	−8.95328	+	7.51269i	−0.552083	+	0.463253i	−0.875646	−	0.482954i	$-0.839564\pi$
$263$	−8.95328	+	7.51269i	−0.552083	+	0.463253i	0.323563	+	0.946207i	$0.395119\pi$
$264$	−0.0917170	−	0.520153i	−0.00564479	−	0.0320132i
$265$	10.0593			0.617940
$266$	0.124331	−	0.166352i	0.00762324	−	0.0101997i
$267$	9.28001			0.567927
$268$	0.0865342	+	0.490760i	0.00528592	+	0.0299779i
$269$	−18.9603	+	15.9096i	−1.15603	+	0.970025i	−0.999843	−	0.0177025i	$-0.994365\pi$
$269$	−18.9603	+	15.9096i	−1.15603	+	0.970025i	−0.156187	+	0.987727i	$0.549920\pi$
$270$	−9.00290	+	3.27679i	−0.547899	+	0.199419i
$271$	−19.4559	−	7.08136i	−1.18186	−	0.430162i	−0.325002	−	0.945713i	$-0.605365\pi$
$271$	−19.4559	−	7.08136i	−1.18186	−	0.430162i	−0.856859	+	0.515551i	$0.827587\pi$
$272$	5.14789	+	4.31959i	0.312137	+	0.261914i
$273$	0.0327578	−	0.0567382i	0.00198259	−	0.00343395i
$274$	1.77991	+	3.08290i	0.107528	+	0.186245i
$275$	−0.877404	+	4.97600i	−0.0529094	+	0.300064i
$276$	0.598092	−	3.39195i	0.0360009	−	0.204171i
$277$	4.25153	+	7.36386i	0.255449	+	0.442451i	0.965017	−	0.262186i	$-0.0844432\pi$
$277$	4.25153	+	7.36386i	0.255449	+	0.442451i	−0.709568	+	0.704637i	$0.751110\pi$
$278$	4.14693	−	7.18269i	0.248716	−	0.430789i
$279$	16.5455	+	13.8833i	0.990554	+	0.831174i
$280$	0.141954	+	0.0516671i	0.00848339	+	0.00308770i
$281$	−21.6802	+	7.89095i	−1.29333	+	0.470734i	−0.894819	−	0.446428i	$-0.852696\pi$
$281$	−21.6802	+	7.89095i	−1.29333	+	0.470734i	−0.398513	+	0.917163i	$0.630474\pi$
$282$	2.20060	−	1.84652i	0.131044	−	0.109959i
$283$	−0.925815	−	5.25056i	−0.0550340	−	0.312113i	0.944847	−	0.327511i	$-0.106210\pi$
$283$	−0.925815	−	5.25056i	−0.0550340	−	0.312113i	−0.999881	+	0.0153974i	$0.995099\pi$
$284$	13.2190			0.784404
$285$	−0.410736	−	7.28804i	−0.0243299	−	0.431706i
$286$	−2.60343			−0.153944
$287$	0.0212402	+	0.120459i	0.00125377	+	0.00711049i
$288$	2.08443	−	1.74904i	0.122826	−	0.103063i
$289$	−26.4614	+	9.63117i	−1.55655	+	0.566539i
$290$	−5.73584	−	2.08767i	−0.336820	−	0.122592i
$291$	−6.04101	−	5.06901i	−0.354130	−	0.297151i
$292$	2.45663	−	4.25501i	0.143763	−	0.249006i
$293$	−8.38083	−	14.5160i	−0.489613	−	0.848035i	0.510315	−	0.859987i	$-0.329529\pi$
$293$	−8.38083	−	14.5160i	−0.489613	−	0.848035i	−0.999929	+	0.0119522i	$0.996195\pi$
$294$	−0.641811	+	3.63989i	−0.0374312	+	0.212283i
$295$	−3.46295	+	19.6394i	−0.201621	+	1.14345i
$296$	4.33405	+	7.50680i	0.251912	+	0.436324i
$297$	1.51086	−	2.61688i	0.0876689	−	0.151847i
$298$	−7.64679	−	6.41641i	−0.442966	−	0.371693i
$299$	−15.9533	−	5.80651i	−0.922600	−	0.335799i
$300$	2.50781	−	0.912769i	0.144789	−	0.0526987i
$301$	−0.389798	+	0.327079i	−0.0224676	+	0.0188525i
$302$	0.172845	+	0.980251i	0.00994610	+	0.0564071i
$303$	3.92365			0.225408
$304$	1.71895	+	4.00565i	0.0985883	+	0.229740i
$305$	1.02133			0.0584815
$306$	3.17526	+	18.0078i	0.181517	+	1.02944i
$307$	−17.7835	+	14.9221i	−1.01496	+	0.851651i	−0.988986	−	0.148011i	$-0.952713\pi$
$307$	−17.7835	+	14.9221i	−1.01496	+	0.851651i	−0.0259728	+	0.999663i	$0.508268\pi$
$308$	−0.0447719	+	0.0162956i	−0.00255112	+	0.000928531i
$309$	6.80785	+	2.47785i	0.387285	+	0.140960i
$310$	−19.2792	−	16.1772i	−1.09499	−	0.918804i
$311$	5.84597	−	10.1255i	0.331495	−	0.574166i	−0.651311	−	0.758811i	$-0.725780\pi$
$311$	5.84597	−	10.1255i	0.331495	−	0.574166i	0.982805	+	0.184646i	$0.0591138\pi$
$312$	0.687535	+	1.19085i	0.0389240	+	0.0674184i
$313$	−5.94170	+	33.6971i	−0.335845	+	1.90467i	0.0828844	+	0.996559i	$0.473587\pi$
$313$	−5.94170	+	33.6971i	−0.335845	+	1.90467i	−0.418729	+	0.908111i	$0.637524\pi$
$314$	−2.88502	+	16.3618i	−0.162811	+	0.923349i
$315$	0.205526	+	0.355981i	0.0115801	+	0.0200572i
$316$	−1.86810	+	3.23565i	−0.105089	+	0.182020i
$317$	2.44389	+	2.05067i	0.137263	+	0.115177i	0.708834	−	0.705375i	$-0.249222\pi$
$317$	2.44389	+	2.05067i	0.137263	+	0.115177i	−0.571571	+	0.820552i	$0.693666\pi$
$318$	1.57468	+	0.573136i	0.0883035	+	0.0321399i
$319$	1.80906	−	0.658446i	0.101288	−	0.0368659i
$320$	−2.42883	+	2.03803i	−0.135776	+	0.113929i
$321$	−1.15151	−	6.53051i	−0.0642708	−	0.364498i
$322$	−0.310698			−0.0173145
$323$	−29.0877	−	3.45530i	−1.61848	−	0.192258i
$324$	6.56708			0.364838
$325$	−2.28426	−	12.9547i	−0.126708	−	0.718595i
$326$	6.99889	−	5.87277i	0.387633	−	0.325262i
$327$	2.31913	−	0.844093i	0.128248	−	0.0466785i
$328$	−2.41243	−	0.878053i	−0.133204	−	0.0484824i
$329$	−0.198509	−	0.166569i	−0.0109442	−	0.00918324i
$330$	−0.837322	+	1.45028i	−0.0460931	+	0.0798355i
$331$	−17.1131	−	29.6407i	−0.940620	−	1.62920i	−0.764293	−	0.644870i	$-0.776912\pi$
$331$	−17.1131	−	29.6407i	−0.940620	−	1.62920i	−0.176327	−	0.984332i	$-0.556422\pi$
$332$	−2.50786	+	14.2228i	−0.137637	+	0.780576i
$333$	−4.09569	+	23.2278i	−0.224443	+	1.27288i
$334$	−3.42991	−	5.94077i	−0.187676	−	0.325065i
$335$	0.790006	−	1.36833i	0.0431627	−	0.0747599i
$336$	0.0192776	+	0.0161758i	0.00105168	+	0.000882465i
$337$	20.8001	+	7.57062i	1.13305	+	0.412398i	0.839400	−	0.543513i	$-0.182906\pi$
$337$	20.8001	+	7.57062i	1.13305	+	0.412398i	0.293654	+	0.955912i	$0.405129\pi$
$338$	−5.84693	+	2.12811i	−0.318031	+	0.115754i
$339$	−7.04491	+	5.91138i	−0.382627	+	0.321062i
$340$	−3.69989	−	20.9831i	−0.200654	−	1.13797i
$341$	7.93767			0.429849
$342$	−3.42304	+	11.3560i	−0.185097	+	0.614062i
$343$	0.666926			0.0360106
$344$	−1.85454	−	10.5176i	−0.0999900	−	0.567072i
$345$	−8.36555	+	7.01953i	−0.450386	+	0.377919i
$346$	−14.3401	+	5.21936i	−0.770928	+	0.280595i
$347$	−7.00413	−	2.54930i	−0.376002	−	0.136853i	0.147105	−	0.989121i	$-0.453005\pi$
$347$	−7.00413	−	2.54930i	−0.376002	−	0.136853i	−0.523106	+	0.852268i	$0.675227\pi$
$348$	−0.778936	−	0.653605i	−0.0417554	−	0.0350369i
$349$	6.78073	−	11.7446i	0.362964	−	0.628673i	−0.625483	−	0.780238i	$-0.715098\pi$
$349$	6.78073	−	11.7446i	0.362964	−	0.628673i	0.988447	+	0.151565i	$0.0484314\pi$
$350$	−0.120370	−	0.208487i	−0.00643406	−	0.0111441i
$351$	−1.36606	+	7.74731i	−0.0729148	+	0.413521i
$352$	0.173648	−	0.984808i	0.00925548	−	0.0524904i
$353$	−0.885425	−	1.53360i	−0.0471264	−	0.0816254i	0.841500	−	0.540257i	$-0.181673\pi$
$353$	−0.885425	−	1.53360i	−0.0471264	−	0.0816254i	−0.888626	+	0.458632i	$0.848340\pi$
$354$	−1.66105	+	2.87702i	−0.0882839	+	0.152912i
$355$	−32.1067	−	26.9407i	−1.70405	−	1.42986i
$356$	16.5103	+	6.00925i	0.875043	+	0.318490i
$357$	−0.158913	+	0.0578398i	−0.00841059	+	0.00306121i
$358$	−4.09190	+	3.43351i	−0.216264	+	0.181467i
$359$	−1.48353	−	8.41353i	−0.0782979	−	0.444049i	−0.998603	−	0.0528470i	$-0.983170\pi$
$359$	−1.48353	−	8.41353i	−0.0782979	−	0.444049i	0.920305	−	0.391202i	$-0.127941\pi$
$360$	−8.62732			−0.454700
$361$	−15.8349	−	10.5003i	−0.833416	−	0.552646i
$362$	10.2241			0.537368
$363$	−0.0917170	−	0.520153i	−0.00481390	−	0.0273010i
$364$	0.0950209	−	0.0797320i	0.00498045	−	0.00417909i
$365$	−14.6386	+	5.32800i	−0.766218	+	0.278880i
$366$	0.159879	+	0.0581911i	0.00835700	+	0.00304170i
$367$	24.5009	+	20.5587i	1.27894	+	1.07316i	0.993390	+	0.114790i	$0.0366196\pi$
$367$	24.5009	+	20.5587i	1.27894	+	1.07316i	0.285547	+	0.958365i	$0.407825\pi$
$368$	3.26053	−	5.64740i	0.169967	−	0.294391i
$369$	−3.49279	−	6.04969i	−0.181827	−	0.314934i
$370$	4.77240	−	27.0656i	0.248105	−	1.40708i
$371$	0.0262492	−	0.148867i	0.00136279	−	0.00772877i
$372$	−2.09625	−	3.63081i	−0.108685	−	0.188249i
$373$	11.0257	−	19.0970i	0.570887	−	0.988805i	−0.425588	−	0.904917i	$-0.639933\pi$
$373$	11.0257	−	19.0970i	0.570887	−	0.988805i	0.996475	−	0.0838881i	$-0.0267338\pi$
$374$	5.14789	+	4.31959i	0.266191	+	0.223361i
$375$	−0.0830379	−	0.0302233i	−0.00428806	−	0.00156072i
$376$	5.11084	−	1.86019i	0.263572	−	0.0959322i
$377$	−3.83944	+	3.22167i	−0.197741	+	0.165924i
$378$	0.0250002	+	0.141783i	0.00128587	+	0.00729255i
$379$	−11.6325			−0.597520			−0.298760	−	0.954328i	$-0.596573\pi$
$379$	−11.6325			−0.597520			−0.298760	+	0.954328i	$0.596573\pi$
$380$	3.98861	−	13.2323i	0.204611	−	0.678802i
$381$	−1.89358			−0.0970108
$382$	1.17482	+	6.66273i	0.0601090	+	0.340895i
$383$	−15.1681	+	12.7276i	−0.775055	+	0.650348i	−0.941998	−	0.335618i	$-0.891055\pi$
$383$	−15.1681	+	12.7276i	−0.775055	+	0.650348i	0.166943	+	0.985967i	$0.446610\pi$
$384$	−0.496324	+	0.180647i	−0.0253279	+	0.00921862i
$385$	0.141954	+	0.0516671i	0.00723466	+	0.00263320i
$386$	−9.94726	−	8.34674i	−0.506302	−	0.424838i
$387$	14.5301	−	25.1669i	0.738607	−	1.27930i
$388$	−7.46528	−	12.9302i	−0.378992	−	0.656433i
$389$	−3.23849	+	18.3664i	−0.164198	+	0.931212i	0.785690	+	0.618621i	$0.212308\pi$
$389$	−3.23849	+	18.3664i	−0.164198	+	0.931212i	−0.949888	+	0.312592i	$0.898803\pi$
$390$	0.757074	−	4.29358i	0.0383359	−	0.217414i
$391$	21.9111	+	37.9511i	1.10809	+	1.91927i
$392$	−3.49886	+	6.06021i	−0.176719	+	0.306087i
$393$	5.10108	+	4.28031i	0.257315	+	0.215913i
$394$	−18.7224	−	6.81440i	−0.943222	−	0.343305i
$395$	11.1317	−	4.05159i	0.560094	−	0.203858i
$396$	2.08443	−	1.74904i	0.104746	−	0.0878927i
$397$	1.22233	+	6.93216i	0.0613468	+	0.347915i	0.999995	+	0.00303989i	$0.000967628\pi$
$397$	1.22233	+	6.93216i	0.0613468	+	0.347915i	−0.938649	+	0.344875i	$0.887921\pi$
$398$	4.30293			0.215686
$399$	−0.108927	−	0.0129393i	−0.00545315	−	0.000647774i
$400$	5.05277			0.252638
$401$	0.0854125	+	0.484398i	0.00426530	+	0.0241897i	0.986866	−	0.161540i	$-0.0516462\pi$
$401$	0.0854125	+	0.484398i	0.00426530	+	0.0241897i	−0.982601	+	0.185730i	$0.940535\pi$
$402$	0.201628	−	0.169186i	0.0100563	−	0.00843824i
$403$	−19.4189	+	7.06790i	−0.967324	+	0.352077i
$404$	6.98065	+	2.54075i	0.347300	+	0.126407i
$405$	−15.9503	−	13.3839i	−0.792578	−	0.665052i
$406$	−0.0458625	+	0.0794362i	−0.00227612	+	0.00394235i
$407$	4.33405	+	7.50680i	0.214831	+	0.372098i
$408$	0.616347	−	3.49548i	0.0305137	−	0.173052i
$409$	5.38954	−	30.5656i	0.266496	−	1.51137i	−0.498246	−	0.867035i	$-0.666023\pi$
$409$	5.38954	−	30.5656i	0.266496	−	1.51137i	0.764742	−	0.644336i	$-0.222866\pi$
$410$	4.06988	+	7.04924i	0.200997	+	0.348137i
$411$	0.940109	−	1.62832i	0.0463721	−	0.0803189i
$412$	10.5075	+	8.81681i	0.517666	+	0.434373i
$413$	0.281604	+	0.102496i	0.0138568	+	0.00504347i
$414$	16.6739	−	6.06880i	0.819477	−	0.298265i
$415$	35.0776	−	29.4336i	1.72189	−	1.44484i
$416$	0.452080	+	2.56387i	0.0221651	+	0.125704i
$417$	−4.38062			−0.214520
$418$	1.71895	+	4.00565i	0.0840764	+	0.195923i
$419$	−15.1646			−0.740839			−0.370420	−	0.928864i	$-0.620786\pi$
$419$	−15.1646			−0.740839			−0.370420	+	0.928864i	$0.620786\pi$
$420$	−0.0138552	−	0.0785767i	−0.000676064	−	0.00383415i
$421$	1.92213	−	1.61286i	0.0936787	−	0.0786057i	−0.594746	−	0.803914i	$-0.702747\pi$
$421$	1.92213	−	1.61286i	0.0936787	−	0.0786057i	0.688424	+	0.725308i	$0.258303\pi$
$422$	−0.423868	+	0.154275i	−0.0206336	+	0.00751001i
$423$	13.9067	+	5.06164i	0.676169	+	0.246105i
$424$	2.43041	+	2.03936i	0.118031	+	0.0990400i
$425$	−16.9775	+	29.4060i	−0.823531	+	1.42640i
$426$	−3.49099	−	6.04657i	−0.169139	−	0.292957i
$427$	0.00266511	−	0.0151146i	0.000128974	−	0.000731447i
$428$	2.18015	−	12.3642i	0.105382	−	0.597648i
$429$	0.687535	+	1.19085i	0.0331945	+	0.0574946i
$430$	−16.9308	+	29.3251i	−0.816477	+	1.41418i
$431$	0.841172	+	0.705827i	0.0405178	+	0.0339985i	0.662822	−	0.748777i	$-0.269359\pi$
$431$	0.841172	+	0.705827i	0.0405178	+	0.0339985i	−0.622304	+	0.782776i	$0.713803\pi$
$432$	−2.83949	−	1.03349i	−0.136615	−	0.0497237i
$433$	11.4816	−	4.17896i	0.551771	−	0.200828i	−0.0510622	−	0.998695i	$-0.516261\pi$
$433$	11.4816	−	4.17896i	0.551771	−	0.200828i	0.602833	+	0.797867i	$0.294038\pi$
$434$	−0.289712	+	0.243098i	−0.0139066	+	0.0116691i
$435$	0.559836	+	3.17499i	0.0268421	+	0.152229i
$436$	4.67260			0.223777
$437$	1.59941	+	28.3796i	0.0765099	+	1.35758i
$438$	−2.59507			−0.123997
$439$	−0.558162	−	3.16549i	−0.0266396	−	0.151081i	0.968586	−	0.248677i	$-0.0799958\pi$
$439$	−0.558162	−	3.16549i	−0.0266396	−	0.151081i	−0.995226	+	0.0975962i	$0.968885\pi$
$440$	−2.42883	+	2.03803i	−0.115790	+	0.0971592i
$441$	−17.8927	+	6.51241i	−0.852034	+	0.310115i
$442$	−16.4402	−	5.98373i	−0.781979	−	0.284617i
$443$	13.4007	+	11.2445i	0.636684	+	0.534242i	0.902998	−	0.429645i	$-0.141361\pi$
$443$	13.4007	+	11.2445i	0.636684	+	0.534242i	−0.266314	+	0.963886i	$0.585806\pi$
$444$	2.28915	−	3.96492i	0.108638	−	0.188167i
$445$	−27.8536	−	48.2439i	−1.32039	−	2.28698i
$446$	2.50675	−	14.2165i	0.118698	−	0.673171i
$447$	−0.915535	+	5.19226i	−0.0433033	+	0.245585i
$448$	0.0238226	+	0.0412620i	0.00112551	+	0.00194945i
$449$	9.14058	−	15.8320i	0.431371	−	0.747156i	−0.565621	−	0.824665i	$-0.691363\pi$
$449$	9.14058	−	15.8320i	0.431371	−	0.747156i	0.996992	+	0.0775092i	$0.0246967\pi$
$450$	10.5321	+	8.83751i	0.496490	+	0.416604i
$451$	−2.41243	−	0.878053i	−0.113597	−	0.0413459i
$452$	−16.3617	+	5.95516i	−0.769588	+	0.280107i
$453$	0.402735	−	0.337935i	0.0189222	−	0.0158776i
$454$	0.204619	+	1.16045i	0.00960325	+	0.0544627i
$455$	−0.393286			−0.0184375
$456$	1.37829	−	1.84412i	0.0645443	−	0.0863587i
$457$	28.3359			1.32550			0.662748	−	0.748842i	$-0.269390\pi$
$457$	28.3359			1.32550			0.662748	+	0.748842i	$0.269390\pi$
$458$	−2.41009	−	13.6683i	−0.112616	−	0.638678i
$459$	15.5555	−	13.0526i	0.726067	−	0.609243i
$460$	−19.4288	+	7.07152i	−0.905874	+	0.329711i
$461$	−16.1799	−	5.88900i	−0.753573	−	0.274278i	−0.0634644	−	0.997984i	$-0.520215\pi$
$461$	−16.1799	−	5.88900i	−0.753573	−	0.274278i	−0.690108	+	0.723706i	$0.742437\pi$
$462$	0.0192776	+	0.0161758i	0.000896876	+	0.000752569i
$463$	1.01517	−	1.75833i	0.0471791	−	0.0817166i	−0.841471	−	0.540302i	$-0.818310\pi$
$463$	1.01517	−	1.75833i	0.0471791	−	0.0817166i	0.888651	+	0.458585i	$0.151644\pi$
$464$	−0.962583	−	1.66724i	−0.0446868	−	0.0773998i
$465$	−2.30827	+	13.0908i	−0.107043	+	0.607073i
$466$	4.89492	−	27.7605i	0.226753	−	1.28598i
$467$	3.06843	+	5.31468i	0.141990	+	0.245934i	0.928246	−	0.371967i	$-0.121317\pi$
$467$	3.06843	+	5.31468i	0.141990	+	0.245934i	−0.786256	+	0.617901i	$0.787983\pi$
$468$	−3.54200	+	6.13492i	−0.163729	+	0.283587i
$469$	−0.0181883	−	0.0152618i	−0.000839857	−	0.000704723i
$470$	−16.2045	−	5.89795i	−0.747457	−	0.272052i
$471$	8.24602	−	3.00131i	0.379957	−	0.138293i
$472$	−4.81823	+	4.04297i	−0.221777	+	0.186093i
$473$	−1.85454	−	10.5176i	−0.0852718	−	0.483600i
$474$	1.97338			0.0906404
$475$	−18.4239	+	12.0681i	−0.845347	+	0.553720i
$476$	−0.320181			−0.0146755
$477$	1.49910	+	8.50180i	0.0686389	+	0.389270i
$478$	13.5164	−	11.3416i	0.618226	−	0.518753i
$479$	−23.5636	+	8.57645i	−1.07665	+	0.391868i	−0.818659	−	0.574279i	$-0.805282\pi$
$479$	−23.5636	+	8.57645i	−1.07665	+	0.391868i	−0.257990	+	0.966148i	$0.583060\pi$
$480$	1.57365	+	0.572762i	0.0718270	+	0.0261429i
$481$	−17.2871	−	14.5056i	−0.788226	−	0.661400i
$482$	11.0575	−	19.1521i	0.503653	−	0.872353i
$483$	0.0820517	+	0.142118i	0.00373348	+	0.00646658i
$484$	0.173648	−	0.984808i	0.00789310	−	0.0447640i
$485$	−8.22032	+	46.6198i	−0.373266	+	2.11689i
$486$	−6.26687	−	10.8545i	−0.284271	−	0.492372i
$487$	0.443996	−	0.769024i	0.0201194	−	0.0348478i	−0.855790	−	0.517323i	$-0.826929\pi$
$487$	0.443996	−	0.769024i	0.0201194	−	0.0348478i	0.875910	+	0.482475i	$0.160262\pi$
$488$	0.246763	+	0.207058i	0.0111704	+	0.00937309i
$489$	−4.53462	−	1.65047i	−0.205063	−	0.0746367i
$490$	20.8490	−	7.58843i	0.941863	−	0.342810i
$491$	5.69958	−	4.78251i	0.257218	−	0.215832i	−0.505055	−	0.863087i	$-0.668528\pi$
$491$	5.69958	−	4.78251i	0.257218	−	0.215832i	0.762273	+	0.647255i	$0.224083\pi$
$492$	0.235461	+	1.33537i	0.0106154	+	0.0602029i
$493$	12.9373			0.582667
$494$	−7.77199	−	8.26891i	−0.349678	−	0.372036i
$495$	−8.62732			−0.387769
$496$	−1.37836	−	7.81708i	−0.0618903	−	0.350997i
$497$	−0.482473	+	0.404843i	−0.0216419	+	0.0181597i
$498$	7.16800	−	2.60894i	0.321206	−	0.116909i
$499$	15.1845	+	5.52672i	0.679753	+	0.247410i	0.658742	−	0.752369i	$-0.271089\pi$
$499$	15.1845	+	5.52672i	0.679753	+	0.247410i	0.0210118	+	0.999779i	$0.493311\pi$
$500$	−0.128164	−	0.107542i	−0.00573165	−	0.00480942i
$501$	−1.81160	+	3.13778i	−0.0809362	+	0.140186i
$502$	−7.99565	−	13.8489i	−0.356864	−	0.618106i
$503$	−5.93621	+	33.6659i	−0.264682	+	1.50109i	0.505256	+	0.862970i	$0.331398\pi$
$503$	−5.93621	+	33.6659i	−0.264682	+	1.50109i	−0.769938	+	0.638119i	$0.779713\pi$
$504$	−0.0225125	+	0.127675i	−0.00100279	+	0.00568708i
$505$	−11.7767	−	20.3978i	−0.524056	−	0.907691i
$506$	3.26053	−	5.64740i	0.144948	−	0.251058i
$507$	2.51753	+	2.11246i	0.111808	+	0.0938178i
$508$	−3.36890	−	1.22618i	−0.149471	−	0.0544030i
$509$	4.93267	−	1.79535i	0.218637	−	0.0795773i	−0.230379	−	0.973101i	$-0.573997\pi$
$509$	4.93267	−	1.79535i	0.218637	−	0.0795773i	0.449016	+	0.893524i	$0.351775\pi$
$510$	−8.62088	+	7.23378i	−0.381739	+	0.320317i
$511$	0.0406499	+	0.230537i	0.00179825	+	0.0101984i
$512$	−1.00000			−0.0441942
$513$	12.8220	−	3.01343i	0.566106	−	0.133046i
$514$	−20.5508			−0.906455
$515$	−7.55192	−	42.8290i	−0.332777	−	1.88727i
$516$	−4.32115	+	3.62587i	−0.190228	+	0.159620i
$517$	5.11084	−	1.86019i	0.224775	−	0.0818113i
$518$	−0.388087	−	0.141252i	−0.0170516	−	0.00620627i
$519$	6.17447	+	5.18099i	0.271029	+	0.227420i
$520$	4.12723	−	7.14856i	0.180991	−	0.313485i
$521$	−0.0203432	−	0.0352354i	−0.000891250	−	0.00154369i	0.865579	−	0.500772i	$-0.166950\pi$
$521$	−0.0203432	−	0.0352354i	−0.000891250	−	0.00154369i	−0.866471	+	0.499228i	$0.833617\pi$
$522$	0.909644	−	5.15885i	0.0398140	−	0.225797i
$523$	−5.22000	+	29.6041i	−0.228255	+	1.29450i	0.628110	+	0.778125i	$0.283829\pi$
$523$	−5.22000	+	29.6041i	−0.228255	+	1.29450i	−0.856364	+	0.516372i	$0.827282\pi$
$524$	6.30374	+	10.9184i	0.275380	+	0.476972i
$525$	−0.0635768	+	0.110118i	−0.00277472	+	0.00480596i
$526$	8.95328	+	7.51269i	0.390382	+	0.327569i
$527$	50.1250	+	18.2440i	2.18348	+	0.794721i
$528$	−0.496324	+	0.180647i	−0.0215997	+	0.00786166i
$529$	14.9564	−	12.5499i	0.650278	−	0.545648i
$530$	−1.74678	−	9.90650i	−0.0758754	−	0.430311i
$531$	−17.1146			−0.742710
$532$	−0.185415	−	0.0935557i	−0.00803876	−	0.00405615i
$533$	6.68366			0.289502
$534$	−1.61146	−	9.13902i	−0.0697345	−	0.395484i
$535$	−30.4939	+	25.5874i	−1.31837	+	1.10624i
$536$	0.468278	−	0.170439i	0.0202265	−	0.00736185i
$537$	2.65117	+	0.964946i	0.114406	+	0.0416405i
$538$	18.9603	+	15.9096i	0.817437	+	0.685911i
$539$	−3.49886	+	6.06021i	−0.150707	+	0.261032i
$540$	4.79034	+	8.29712i	0.206144	+	0.357051i
$541$	5.02766	−	28.5133i	0.216156	−	1.22588i	−0.662734	−	0.748855i	$-0.730604\pi$
$541$	5.02766	−	28.5133i	0.216156	−	1.22588i	0.878890	−	0.477025i	$-0.158285\pi$
$542$	−3.59530	+	20.3900i	−0.154431	+	0.875824i
$543$	−2.70008	−	4.67667i	−0.115871	−	0.200695i
$544$	3.36005	−	5.81977i	0.144061	−	0.249521i
$545$	−11.3490	−	9.52290i	−0.486136	−	0.407916i
$546$	−0.0615646	−	0.0224077i	−0.00263472	−	0.000958960i
$547$	9.46962	−	3.44666i	0.404892	−	0.147369i	−0.131543	−	0.991310i	$-0.541993\pi$
$547$	9.46962	−	3.44666i	0.404892	−	0.147369i	0.536435	+	0.843942i	$0.319771\pi$
$548$	2.72698	−	2.28821i	0.116491	−	0.0977475i
$549$	0.152205	+	0.863197i	0.00649595	+	0.0368403i
$550$	5.05277			0.215451
$551$	7.49192	+	3.78023i	0.319167	+	0.161043i
$552$	−3.44427			−0.146598
$553$	−0.0309116	−	0.175308i	−0.00131449	−	0.00745487i
$554$	6.51371	−	5.46566i	0.276741	−	0.232213i
$555$	−13.6406	+	4.96476i	−0.579010	+	0.210742i
$556$	−7.79367	−	2.83666i	−0.330525	−	0.120301i
$557$	−30.2834	−	25.4108i	−1.28315	−	1.07669i	−0.992802	−	0.119769i	$-0.961784\pi$
$557$	−30.2834	−	25.4108i	−1.28315	−	1.07669i	−0.290348	−	0.956921i	$-0.593771\pi$
$558$	10.7993	−	18.7050i	0.457172	−	0.791845i
$559$	13.9021	+	24.0792i	0.587997	+	1.01844i
$560$	0.0262321	−	0.148770i	0.00110851	−	0.00628666i
$561$	0.616347	−	3.49548i	0.0260222	−	0.147579i
$562$	11.5358	+	19.9806i	0.486608	+	0.842830i
$563$	3.32551	−	5.75996i	0.140154	−	0.242753i	−0.787401	−	0.616442i	$-0.788574\pi$
$563$	3.32551	−	5.75996i	0.140154	−	0.242753i	0.927554	+	0.373688i	$0.121907\pi$
$564$	−2.20060	−	1.84652i	−0.0926618	−	0.0777525i
$565$	51.8764	+	18.8815i	2.18246	+	0.794350i
$566$	−5.01003	+	1.82350i	−0.210587	+	0.0766474i
$567$	−0.239688	+	0.201122i	−0.0100660	+	0.00844634i
$568$	−2.29546	−	13.0182i	−0.0963152	−	0.546231i
$569$	−14.1079			−0.591432			−0.295716	−	0.955276i	$-0.595558\pi$
$569$	−14.1079			−0.591432			−0.295716	+	0.955276i	$0.595558\pi$
$570$	−7.10599	+	1.67005i	−0.297637	+	0.0699507i
$571$	−38.0438			−1.59208			−0.796042	−	0.605241i	$-0.793077\pi$
$571$	−38.0438			−1.59208			−0.796042	+	0.605241i	$0.793077\pi$
$572$	0.452080	+	2.56387i	0.0189024	+	0.107201i
$573$	2.73738	−	2.29693i	0.114356	−	0.0959557i
$574$	0.114941	−	0.0418351i	0.00479754	−	0.00174616i
$575$	30.9623	+	11.2694i	1.29122	+	0.469965i
$576$	−2.08443	−	1.74904i	−0.0868512	−	0.0728768i
$577$	−18.3997	+	31.8693i	−0.765990	+	1.32673i	0.173731	+	0.984793i	$0.444418\pi$
$577$	−18.3997	+	31.8693i	−0.765990	+	1.32673i	−0.939721	+	0.341941i	$0.888916\pi$
$578$	14.0798	+	24.3870i	0.585643	+	1.01436i
$579$	−1.19097	+	6.75431i	−0.0494949	+	0.280699i
$580$	−1.05994	+	6.01122i	−0.0440116	+	0.249602i
$581$	−0.344051	−	0.595913i	−0.0142736	−	0.0247227i
$582$	−3.94299	+	6.82946i	−0.163442	+	0.283090i
$583$	2.43041	+	2.03936i	0.100657	+	0.0844616i
$584$	−4.61696	−	1.68043i	−0.191051	−	0.0695369i
$585$	21.1061	−	7.68198i	0.872628	−	0.317611i
$586$	−12.8402	+	10.7742i	−0.530423	+	0.445078i
$587$	1.87428	+	10.6296i	0.0773597	+	0.438729i	0.998745	+	0.0500789i	$0.0159473\pi$
$587$	1.87428	+	10.6296i	0.0773597	+	0.438729i	−0.921386	+	0.388650i	$0.872942\pi$
$588$	3.69604			0.152422
$589$	23.6963	+	25.2114i	0.976388	+	1.03882i
$590$	19.9423			0.821013
$591$	1.82737	+	10.3635i	0.0751679	+	0.426298i
$592$	6.64015	−	5.57175i	0.272909	−	0.228997i
$593$	20.6640	−	7.52108i	0.848568	−	0.308854i	0.119112	−	0.992881i	$-0.461995\pi$
$593$	20.6640	−	7.52108i	0.848568	−	0.308854i	0.729456	+	0.684027i	$0.239773\pi$
$594$	−2.83949	−	1.03349i	−0.116506	−	0.0424045i
$595$	0.777664	+	0.652537i	0.0318811	+	0.0267514i
$596$	−4.99108	+	8.64481i	−0.204443	+	0.354105i
$597$	−1.13635	−	1.96822i	−0.0465079	−	0.0805540i
$598$	−2.94804	+	16.7192i	−0.120554	+	0.683698i
$599$	−3.69847	+	20.9751i	−0.151115	+	0.857018i	0.811136	+	0.584857i	$0.198849\pi$
$599$	−3.69847	+	20.9751i	−0.151115	+	0.857018i	−0.962252	+	0.272161i	$0.912262\pi$
$600$	−1.33438	−	2.31121i	−0.0544758	−	0.0943548i
$601$	−11.6201	+	20.1267i	−0.473996	+	0.820984i	−0.999557	−	0.0297715i	$-0.990522\pi$
$601$	−11.6201	+	20.1267i	−0.473996	+	0.820984i	0.525561	+	0.850756i	$0.323855\pi$
$602$	0.389798	+	0.327079i	0.0158870	+	0.0133308i
$603$	1.27420	+	0.463770i	0.0518893	+	0.0188862i
$604$	0.935345	−	0.340438i	0.0380586	−	0.0138522i
$605$	−2.42883	+	2.03803i	−0.0987459	+	0.0828577i
$606$	−0.681334	−	3.86404i	−0.0276773	−	0.156966i
$607$	2.43523			0.0988431			0.0494215	−	0.998778i	$-0.484262\pi$
$607$	2.43523			0.0988431			0.0494215	+	0.998778i	$0.484262\pi$
$608$	3.64630	−	2.38840i	0.147877	−	0.0968626i
$609$	0.0484471			0.00196318
$610$	−0.177353	−	1.00582i	−0.00718081	−	0.0407244i
$611$	−10.8469	+	9.10164i	−0.438819	+	0.368213i
$612$	17.1828	−	6.25403i	0.694574	−	0.252804i
$613$	1.73745	+	0.632379i	0.0701748	+	0.0255415i	0.376869	−	0.926267i	$-0.377001\pi$
$613$	1.73745	+	0.632379i	0.0701748	+	0.0255415i	−0.306694	+	0.951808i	$0.599223\pi$
$614$	17.7835	+	14.9221i	0.717684	+	0.602208i
$615$	2.14962	−	3.72325i	0.0866810	−	0.150136i
$616$	0.0238226	+	0.0412620i	0.000959841	+	0.00166249i
$617$	4.42137	−	25.0748i	0.177998	−	1.00947i	−0.756629	−	0.653844i	$-0.773155\pi$
$617$	4.42137	−	25.0748i	0.177998	−	1.00947i	0.934627	−	0.355630i	$-0.115734\pi$
$618$	1.25804	−	7.13469i	0.0506057	−	0.286999i
$619$	−2.22163	−	3.84797i	−0.0892947	−	0.154663i	0.817919	−	0.575334i	$-0.195128\pi$
$619$	−2.22163	−	3.84797i	−0.0892947	−	0.154663i	−0.907213	+	0.420671i	$0.861795\pi$
$620$	−12.5836	+	21.7955i	−0.505371	+	0.875328i
$621$	−15.0947	−	12.6660i	−0.605731	−	0.508269i
$622$	−10.9868	−	3.99888i	−0.440532	−	0.160340i
$623$	−0.786637	+	0.286312i	−0.0315159	+	0.0114709i
$624$	1.05337	−	0.883879i	0.0421684	−	0.0353835i
$625$	−4.29491	−	24.3576i	−0.171796	−	0.974305i
$626$	34.2169			1.36758
$627$	1.37829	−	1.84412i	0.0550436	−	0.0736470i
$628$	16.6142			0.662978
$629$	10.1151	+	57.3655i	0.403315	+	2.28731i
$630$	0.314883	−	0.264219i	0.0125453	−	0.0105267i
$631$	33.8279	−	12.3123i	1.34667	−	0.490146i	0.434760	−	0.900546i	$-0.356833\pi$
$631$	33.8279	−	12.3123i	1.34667	−	0.490146i	0.911906	+	0.410400i	$0.134611\pi$
$632$	3.51089	+	1.27786i	0.139656	+	0.0508305i
$633$	0.182507	+	0.153141i	0.00725398	+	0.00608682i
$634$	1.59514	−	2.76286i	0.0633510	−	0.109727i
$635$	5.68350	+	9.84411i	0.225543	+	0.390652i
$636$	0.290989	−	1.65028i	0.0115385	−	0.0654378i
$637$	3.16354	−	17.9413i	0.125344	−	0.710860i
$638$	−0.962583	−	1.66724i	−0.0381090	−	0.0660068i
$639$	17.9846	−	31.1503i	0.711462	−	1.23229i
$640$	2.42883	+	2.03803i	0.0960079	+	0.0805602i
$641$	0.0516289	+	0.0187914i	0.00203922	+	0.000742215i	0.343040	−	0.939321i	$-0.388544\pi$
$641$	0.0516289	+	0.0187914i	0.00203922	+	0.000742215i	−0.341000	+	0.940063i	$0.610766\pi$
$642$	−6.23134	+	2.26802i	−0.245932	+	0.0895118i
$643$	8.90554	−	7.47264i	0.351200	−	0.294692i	−0.450072	−	0.892993i	$-0.648602\pi$
$643$	8.90554	−	7.47264i	0.351200	−	0.294692i	0.801272	+	0.598300i	$0.204157\pi$
$644$	0.0539521	+	0.305977i	0.00212601	+	0.0120572i
$645$	17.8850			0.704220
$646$	1.64822	+	29.2458i	0.0648484	+	1.15066i
$647$	26.0188			1.02290			0.511452	−	0.859312i	$-0.329108\pi$
$647$	26.0188			1.02290			0.511452	+	0.859312i	$0.329108\pi$
$648$	−1.14036	−	6.46731i	−0.0447977	−	0.254060i
$649$	−4.81823	+	4.04297i	−0.189132	+	0.158701i
$650$	−12.3612	+	4.49911i	−0.484846	+	0.176470i
$651$	0.187706	+	0.0683195i	0.00735679	+	0.00267765i
$652$	−6.99889	−	5.87277i	−0.274098	−	0.229995i
$653$	16.4371	−	28.4698i	0.643232	−	1.11411i	−0.341475	−	0.939891i	$-0.610926\pi$
$653$	16.4371	−	28.4698i	0.643232	−	1.11411i	0.984707	−	0.174220i	$-0.0557403\pi$
$654$	−1.23398	−	2.13732i	−0.0482525	−	0.0835758i
$655$	6.94131	−	39.3661i	0.271219	−	1.53816i
$656$	−0.445799	+	2.52825i	−0.0174055	+	0.0987117i
$657$	−6.68456	−	11.5780i	−0.260790	−	0.451701i
$658$	−0.129568	+	0.224418i	−0.00505107	+	0.00874871i
$659$	−1.28445	−	1.07778i	−0.0500351	−	0.0419844i	0.617427	−	0.786628i	$-0.288175\pi$
$659$	−1.28445	−	1.07778i	−0.0500351	−	0.0419844i	−0.667462	+	0.744644i	$0.732619\pi$
$660$	1.57365	+	0.572762i	0.0612543	+	0.0222947i
$661$	0.907772	−	0.330402i	0.0353083	−	0.0128512i	−0.324306	−	0.945952i	$-0.605131\pi$
$661$	0.907772	−	0.330402i	0.0353083	−	0.0128512i	0.359614	+	0.933101i	$0.382908\pi$
$662$	−26.2188	+	22.0001i	−1.01902	+	0.855060i
$663$	1.60461	+	9.10022i	0.0623181	+	0.353423i
$664$	14.4422			0.560465
$665$	0.259672	+	0.605112i	0.0100696	+	0.0234652i
$666$	23.5862			0.913945
$667$	−2.18000	−	12.3634i	−0.0844099	−	0.478713i
$668$	−5.25492	+	4.40940i	−0.203319	+	0.170605i
$669$	−7.16485	+	2.60779i	−0.277009	+	0.100823i
$670$	−1.48473	−	0.540396i	−0.0573600	−	0.0208773i
$671$	0.246763	+	0.207058i	0.00952616	+	0.00799340i
$672$	0.0125826	−	0.0217937i	0.000485383	−	0.000840709i
$673$	−1.84988	−	3.20409i	−0.0713076	−	0.123508i	0.828167	−	0.560481i	$-0.189384\pi$
$673$	−1.84988	−	3.20409i	−0.0713076	−	0.123508i	−0.899475	+	0.436973i	$0.856051\pi$
$674$	3.84371	−	21.7987i	0.148054	−	0.839656i
$675$	2.65127	−	15.0361i	0.102047	−	0.578739i
$676$	3.11108	+	5.38856i	0.119657	+	0.207252i
$677$	11.2434	−	19.4742i	0.432120	−	0.748454i	−0.564935	−	0.825135i	$-0.691099\pi$
$677$	11.2434	−	19.4742i	0.432120	−	0.748454i	0.997056	+	0.0766809i	$0.0244323\pi$
$678$	7.04491	+	5.91138i	0.270558	+	0.227025i
$679$	0.668469	+	0.243303i	0.0256535	+	0.00933711i
$680$	−20.0218	+	7.28735i	−0.767802	+	0.279457i
$681$	0.476771	−	0.400058i	0.0182699	−	0.0153303i
$682$	−1.37836	−	7.81708i	−0.0527802	−	0.299332i
$683$	7.91945			0.303029			0.151515	−	0.988455i	$-0.451585\pi$
$683$	7.91945			0.303029			0.151515	+	0.988455i	$0.451585\pi$
$684$	11.7779	+	1.39908i	0.450339	+	0.0534953i
$685$	−11.2868			−0.431247
$686$	−0.115810	−	0.656794i	−0.00442166	−	0.0250765i
$687$	−5.61561	+	4.71206i	−0.214249	+	0.179776i
$688$	−10.0358	+	3.65273i	−0.382611	+	0.139259i
$689$	−7.76171	−	2.82503i	−0.295698	−	0.107625i
$690$	8.36555	+	7.01953i	0.318471	+	0.267229i
$691$	−14.3265	+	24.8142i	−0.545004	+	0.943975i	0.453602	+	0.891204i	$0.350139\pi$
$691$	−14.3265	+	24.8142i	−0.545004	+	0.943975i	−0.998607	+	0.0527709i	$0.983195\pi$
$692$	7.63020	+	13.2159i	0.290057	+	0.502393i
$693$	−0.0225125	+	0.127675i	−0.000855178	+	0.00484996i
$694$	−1.29431	+	7.34040i	−0.0491314	+	0.278638i
$695$	13.1483	+	22.7735i	0.498743	+	0.863848i
$696$	−0.508415	+	0.880600i	−0.0192714	+	0.0333791i
$697$	−13.2159	−	11.0895i	−0.500590	−	0.420045i
$698$	−12.7436	−	4.63829i	−0.482353	−	0.175562i
$699$	−13.9908	+	5.09222i	−0.529179	+	0.192605i
$700$	−0.184418	+	0.154745i	−0.00697034	+	0.00584881i
$701$	−3.64209	−	20.6553i	−0.137560	−	0.780140i	−0.973043	−	0.230624i	$-0.925923\pi$
$701$	−3.64209	−	20.6553i	−0.137560	−	0.780140i	0.835483	−	0.549516i	$-0.185188\pi$
$702$	7.86682			0.296914
$703$	−10.9044	+	36.1756i	−0.411268	+	1.36439i
$704$	−1.00000			−0.0376889
$705$	1.58161	+	8.96976i	0.0595669	+	0.337821i
$706$	−1.35655	+	1.13828i	−0.0510545	+	0.0428398i
$707$	−0.332595	+	0.121055i	−0.0125085	+	0.00455273i
$708$	3.12175	+	1.13623i	0.117323	+	0.0427020i
$709$	−10.7739	−	9.04039i	−0.404623	−	0.339519i	0.417654	−	0.908606i	$-0.362852\pi$
$709$	−10.7739	−	9.04039i	−0.404623	−	0.339519i	−0.822277	+	0.569087i	$0.807297\pi$
$710$	−20.9562	+	36.2971i	−0.786470	+	1.36221i
$711$	5.08317	+	8.80430i	0.190634	+	0.330187i
$712$	3.05098	−	17.3029i	0.114340	−	0.648455i
$713$	8.98838	−	50.9757i	0.336618	−	1.90905i
$714$	0.0845561	+	0.146455i	0.00316443	+	0.00548096i
$715$	4.12723	−	7.14856i	0.154349	−	0.267341i
$716$	4.09190	+	3.43351i	0.152922	+	0.128316i
$717$	−8.75735	−	3.18741i	−0.327049	−	0.119036i
$718$	−8.02810	+	2.92199i	−0.299606	+	0.109048i
$719$	−36.9527	+	31.0070i	−1.37810	+	1.15637i	−0.408197	+	0.912894i	$0.633843\pi$
$719$	−36.9527	+	31.0070i	−1.37810	+	1.15637i	−0.969908	+	0.243474i	$0.921713\pi$
$720$	1.49812	+	8.49625i	0.0558316	+	0.316637i
$721$	−0.653528			−0.0243386
$722$	−7.59105	+	17.4177i	−0.282509	+	0.648219i
$723$	−11.6806			−0.434406
$724$	−1.77540	−	10.0688i	−0.0659823	−	0.374204i
$725$	7.45163	−	6.25266i	0.276747	−	0.232218i
$726$	−0.496324	+	0.180647i	−0.0184203	+	0.00670445i
$727$	15.4990	+	5.64117i	0.574826	+	0.209219i	0.613042	−	0.790050i	$-0.289946\pi$
$727$	15.4990	+	5.64117i	0.574826	+	0.209219i	−0.0382167	+	0.999269i	$0.512168\pi$
$728$	−0.0950209	−	0.0797320i	−0.00352171	−	0.00295507i
$729$	6.54061	−	11.3287i	0.242245	−	0.419580i
$730$	7.78902	+	13.4910i	0.288285	+	0.499323i
$731$	12.4627	−	70.6793i	0.460948	−	2.61417i
$732$	0.0295444	−	0.167555i	0.00109199	−	0.00619300i
$733$	−2.73577	−	4.73850i	−0.101048	−	0.175020i	0.811069	−	0.584951i	$-0.198886\pi$
$733$	−2.73577	−	4.73850i	−0.101048	−	0.175020i	−0.912117	+	0.409931i	$0.865553\pi$
$734$	15.9918	−	27.6987i	0.590269	−	1.02238i
$735$	−8.97705	−	7.53264i	−0.331124	−	0.277846i
$736$	−6.12779	−	2.23033i	−0.225873	−	0.0822112i
$737$	0.468278	−	0.170439i	0.0172492	−	0.00627821i
$738$	−5.35126	+	4.49024i	−0.196983	+	0.165288i
$739$	2.26442	+	12.8422i	0.0832982	+	0.472407i	0.997711	+	0.0676242i	$0.0215419\pi$
$739$	2.26442	+	12.8422i	0.0832982	+	0.472407i	−0.914413	+	0.404783i	$0.867347\pi$
$740$	−27.4832			−1.01030
$741$	−1.72983	+	5.73875i	−0.0635469	+	0.210818i
$742$	−0.151163			−0.00554937
$743$	9.18022	+	52.0636i	0.336790	+	1.91003i	0.408797	+	0.912625i	$0.365948\pi$
$743$	9.18022	+	52.0636i	0.336790	+	1.91003i	−0.0720076	+	0.997404i	$0.522941\pi$
$744$	−3.21164	+	2.69489i	−0.117744	+	0.0987993i
$745$	29.7409	−	10.8248i	1.08962	−	0.396590i
$746$	−20.7215	−	7.54199i	−0.758666	−	0.276132i
$747$	30.1037	+	25.2600i	1.10144	+	0.924215i
$748$	3.36005	−	5.81977i	0.122855	−	0.212792i
$749$	0.299093	+	0.518044i	0.0109286	+	0.0189289i
$750$	−0.0153448	+	0.0870246i	−0.000560312	+	0.00317769i
$751$	−2.08890	+	11.8467i	−0.0762249	+	0.432293i	0.922683	+	0.385560i	$0.125992\pi$
$751$	−2.08890	+	11.8467i	−0.0762249	+	0.432293i	−0.998907	+	0.0467323i	$0.985119\pi$
$752$	−2.71942	−	4.71018i	−0.0991671	−	0.171763i
$753$	−4.22312	+	7.31466i	−0.153899	+	0.266561i
$754$	3.83944	+	3.22167i	0.139824	+	0.117326i
$755$	−2.96561	−	1.07939i	−0.107930	−	0.0392832i
$756$	0.135288	−	0.0492408i	0.00492038	−	0.00179087i
$757$	−15.3834	+	12.9082i	−0.559117	+	0.469155i	−0.878014	−	0.478634i	$-0.841132\pi$
$757$	−15.3834	+	12.9082i	−0.559117	+	0.469155i	0.318897	+	0.947789i	$0.396688\pi$
$758$	2.01996	+	11.4558i	0.0733682	+	0.416092i
$759$	−3.44427			−0.125019
$760$	−13.7239	−	1.63025i	−0.497817	−	0.0591352i
$761$	−11.1135			−0.402864			−0.201432	−	0.979503i	$-0.564560\pi$
$761$	−11.1135			−0.402864			−0.201432	+	0.979503i	$0.564560\pi$
$762$	0.328816	+	1.86481i	0.0119117	+	0.0675549i
$763$	−0.170543	+	0.143102i	−0.00617405	+	0.00518065i
$764$	6.35751	−	2.31394i	0.230006	−	0.0837155i
$765$	−54.4800	−	19.8291i	−1.96973	−	0.716922i
$766$	15.1681	+	12.7276i	0.548047	+	0.459866i
$767$	8.18745	−	14.1811i	0.295632	−	0.512049i
$768$	0.264089	+	0.457415i	0.00952948	+	0.0165055i
$769$	−9.40946	+	53.3637i	−0.339314	+	1.92434i	0.0402737	+	0.999189i	$0.487177\pi$
$769$	−9.40946	+	53.3637i	−0.339314	+	1.92434i	−0.379588	+	0.925156i	$0.623934\pi$
$770$	0.0262321	−	0.148770i	0.000945339	−	0.00536128i
$771$	5.42722	+	9.40022i	0.195457	+	0.338541i
$772$	−6.49261	+	11.2455i	−0.233674	+	0.404736i
$773$	−37.8310	−	31.7440i	−1.36069	−	1.14175i	−0.975769	−	0.218801i	$-0.929785\pi$
$773$	−37.8310	−	31.7440i	−1.36069	−	1.14175i	−0.384918	−	0.922951i	$-0.625770\pi$
$774$	−27.3077	−	9.93918i	−0.981554	−	0.357256i
$775$	37.6885	−	13.7175i	1.35381	−	0.492746i
$776$	−11.4375	+	9.59717i	−0.410581	+	0.344518i
$777$	0.0378786	+	0.214820i	0.00135889	+	0.00770663i
$778$	18.6497			0.668625
$779$	−4.41297	−	10.2835i	−0.158111	−	0.368446i
$780$	−4.35981			−0.156106
$781$	−2.29546	−	13.0182i	−0.0821379	−	0.465827i
$782$	33.5697	−	28.1683i	1.20045	−	1.00730i
$783$	−5.46648	+	1.98964i	−0.195356	+	0.0711038i
$784$	6.57572	+	2.39336i	0.234847	+	0.0854773i
$785$	−40.3530	−	33.8602i	−1.44026	−	1.20852i
$786$	3.32949	−	5.76685i	0.118759	−	0.205697i
$787$	−11.2045	−	19.4067i	−0.399397	−	0.691775i	0.594255	−	0.804277i	$-0.297447\pi$
$787$	−11.2045	−	19.4067i	−0.399397	−	0.691775i	−0.993652	+	0.112502i	$0.964114\pi$
$788$	−3.45976	+	19.6213i	−0.123249	+	0.698979i
$789$	1.07196	−	6.07938i	0.0381627	−	0.216432i
$790$	−5.92303	−	10.2590i	−0.210732	−	0.364998i
$791$	0.414793	−	0.718443i	0.0147483	−	0.0255449i
$792$	−2.08443	−	1.74904i	−0.0740670	−	0.0621496i
$793$	−0.788055	−	0.286829i	−0.0279847	−	0.0101856i
$794$	6.61459	−	2.40751i	0.234743	−	0.0854394i
$795$	−4.07008	+	3.41520i	−0.144351	+	0.121125i
$796$	−0.747196	−	4.23756i	−0.0264836	−	0.150196i
$797$	−26.4938			−0.938459			−0.469230	−	0.883076i	$-0.655468\pi$
$797$	−26.4938			−0.938459			−0.469230	+	0.883076i	$0.655468\pi$
$798$	0.00617220	+	0.109519i	0.000218494	+	0.00387692i
$799$	36.5495			1.29303
$800$	−0.877404	−	4.97600i	−0.0310209	−	0.175928i
$801$	36.6232	−	30.7305i	1.29402	−	1.08581i
$802$	0.462208	−	0.168230i	0.0163211	−	0.00594040i
$803$	−4.61696	−	1.68043i	−0.162929	−	0.0593012i
$804$	−0.201628	−	0.169186i	−0.00711088	−	0.00596674i
$805$	0.492550	−	0.853122i	0.0173601	−	0.0300686i
$806$	10.3326	+	17.8965i	0.363950	+	0.630379i
$807$	2.27008	−	12.8743i	0.0799107	−	0.453196i
$808$	1.28997	−	7.31580i	0.0453811	−	0.257369i
$809$	3.55022	+	6.14917i	0.124819	+	0.216193i	0.921662	−	0.387993i	$-0.126832\pi$
$809$	3.55022	+	6.14917i	0.124819	+	0.216193i	−0.796843	+	0.604186i	$0.793498\pi$
$810$	−10.4108	+	18.0321i	−0.365799	+	0.633583i
$811$	−29.4277	−	24.6928i	−1.03335	−	0.867080i	−0.0421007	−	0.999113i	$-0.513405\pi$
$811$	−29.4277	−	24.6928i	−1.03335	−	0.867080i	−0.991245	+	0.132033i	$0.957849\pi$
$812$	0.0861934	+	0.0313718i	0.00302479	+	0.00110094i
$813$	10.2762	−	3.74022i	0.360401	−	0.131175i
$814$	6.64015	−	5.57175i	0.232737	−	0.195290i
$815$	5.03023	+	28.5279i	0.176201	+	0.999288i
$816$	−3.54940			−0.124254
$817$	27.8693	−	37.2885i	0.975024	−	1.30456i
$818$	−31.0371			−1.08519
$819$	−0.0586096	−	0.332391i	−0.00204798	−	0.0116147i
$820$	6.23542	−	5.23214i	0.217750	−	0.182714i
$821$	20.7031	−	7.53531i	0.722543	−	0.262984i	0.0455383	−	0.998963i	$-0.485500\pi$
$821$	20.7031	−	7.53531i	0.722543	−	0.262984i	0.677005	+	0.735978i	$0.263277\pi$
$822$	−1.76683	−	0.643072i	−0.0616251	−	0.0224297i
$823$	3.50243	+	2.93889i	0.122087	+	0.102443i	0.701787	−	0.712387i	$-0.252386\pi$
$823$	3.50243	+	2.93889i	0.122087	+	0.102443i	−0.579700	+	0.814830i	$0.696830\pi$
$824$	6.85826	−	11.8789i	0.238919	−	0.413820i
$825$	−1.33438	−	2.31121i	−0.0464571	−	0.0804661i
$826$	0.0520383	−	0.295124i	0.00181065	−	0.0102687i
$827$	−3.16201	+	17.9327i	−0.109954	+	0.623580i	0.879172	+	0.476505i	$0.158097\pi$
$827$	−3.16201	+	17.9327i	−0.109954	+	0.623580i	−0.989125	+	0.147074i	$0.953014\pi$
$828$	−8.87199	−	15.3667i	−0.308323	−	0.534031i
$829$	−12.2655	+	21.2444i	−0.425998	+	0.737849i	−0.996513	−	0.0834375i	$-0.973410\pi$
$829$	−12.2655	+	21.2444i	−0.425998	+	0.737849i	0.570516	+	0.821287i	$0.306743\pi$
$830$	−35.0776	−	29.4336i	−1.21756	−	1.02165i
$831$	−4.22027	−	1.53605i	−0.146400	−	0.0532851i
$832$	2.44642	−	0.890424i	0.0848144	−	0.0308699i
$833$	−36.0235	+	30.2273i	−1.24814	+	1.04732i
$834$	0.760687	+	4.31407i	0.0263404	+	0.149384i
$835$	21.7498			0.752682
$836$	3.64630	−	2.38840i	0.126110	−	0.0826047i
$837$	−23.9854			−0.829057
$838$	2.63331	+	14.9342i	0.0909660	+	0.515894i
$839$	19.1091	−	16.0345i	0.659720	−	0.553571i	−0.250283	−	0.968173i	$-0.580524\pi$
$839$	19.1091	−	16.0345i	0.659720	−	0.553571i	0.910003	+	0.414602i	$0.136079\pi$
$840$	−0.0749770	+	0.0272894i	−0.00258695	+	0.000941574i
$841$	23.7683	+	8.65097i	0.819598	+	0.298309i
$842$	−1.92213	−	1.61286i	−0.0662408	−	0.0555827i
$843$	6.09294	−	10.5533i	0.209852	−	0.363475i
$844$	0.225535	+	0.390639i	0.00776325	+	0.0134463i
$845$	3.42574	−	19.4284i	0.117849	−	0.668356i
$846$	2.56986	−	14.5744i	0.0883537	−	0.501079i
$847$	0.0238226	+	0.0412620i	0.000818556	+	0.00141778i
$848$	1.58634	−	2.74762i	0.0544751	−	0.0943537i
$849$	2.15719	+	1.81010i	0.0740345	+	0.0621223i
$850$	31.9073	+	11.6133i	1.09441	+	0.398333i
$851$	53.1163	−	19.3328i	1.82080	−	0.662718i
$852$	−5.34851	+	4.48793i	−0.183237	+	0.153754i
$853$	−3.14407	−	17.8309i	−0.107651	−	0.610519i	−0.990128	−	0.140164i	$-0.955237\pi$
$853$	−3.14407	−	17.8309i	−0.107651	−	0.610519i	0.882477	−	0.470355i	$-0.155874\pi$
$854$	−0.0153478			−0.000525190
$855$	−25.7551	−	27.4018i	−0.880805	−	0.937122i
$856$	−12.5550			−0.429121
$857$	5.07320	+	28.7715i	0.173297	+	0.982817i	0.940091	+	0.340923i	$0.110740\pi$
$857$	5.07320	+	28.7715i	0.173297	+	0.982817i	−0.766794	+	0.641893i	$0.778149\pi$
$858$	1.05337	−	0.883879i	0.0359613	−	0.0301751i
$859$	−44.9319	+	16.3539i	−1.53306	+	0.557988i	−0.964368	−	0.264564i	$-0.914772\pi$
$859$	−44.9319	+	16.3539i	−1.53306	+	0.557988i	−0.568690	+	0.822552i	$0.692550\pi$
$860$	31.8196	+	11.5814i	1.08504	+	0.394922i
$861$	−0.0494906	−	0.0415275i	−0.00168663	−	0.00141525i
$862$	0.549036	−	0.950958i	0.0187002	−	0.0323898i
$863$	−2.07379	−	3.59191i	−0.0705926	−	0.122270i	0.828569	−	0.559888i	$-0.189156\pi$
$863$	−2.07379	−	3.59191i	−0.0705926	−	0.122270i	−0.899161	+	0.437618i	$0.855822\pi$
$864$	−0.524716	+	2.97581i	−0.0178512	+	0.101239i
$865$	8.40193	−	47.6497i	0.285674	−	1.62014i
$866$	−6.10924	−	10.5815i	−0.207600	−	0.359574i
$867$	7.43664	−	12.8806i	0.252562	−	0.437450i
$868$	0.289712	+	0.243098i	0.00983348	+	0.00825127i
$869$	3.51089	+	1.27786i	0.119099	+	0.0433484i
$870$	3.02954	−	1.10266i	0.102711	−	0.0373837i
$871$	−0.993841	+	0.833932i	−0.0336750	+	0.0282567i
$872$	−0.811389	−	4.60162i	−0.0274771	−	0.155830i
$873$	−40.6265			−1.37500
$874$	27.6707	−	6.50317i	0.935976	−	0.219973i
$875$	0.00797132			0.000269480
$876$	0.450630	+	2.55565i	0.0152254	+	0.0863474i
$877$	−17.5309	+	14.7102i	−0.591977	+	0.496728i	−0.888856	−	0.458188i	$-0.848499\pi$
$877$	−17.5309	+	14.7102i	−0.591977	+	0.496728i	0.296878	+	0.954915i	$0.404054\pi$
$878$	−3.02048	+	1.09936i	−0.101936	+	0.0371018i
$879$	8.31922	+	3.02795i	0.280600	+	0.102130i
$880$	2.42883	+	2.03803i	0.0818758	+	0.0687019i
$881$	−8.17110	+	14.1528i	−0.275291	+	0.476819i	−0.970209	−	0.242271i	$-0.922108\pi$
$881$	−8.17110	+	14.1528i	−0.275291	+	0.476819i	0.694917	+	0.719090i	$0.255441\pi$
$882$	9.52051	+	16.4900i	0.320572	+	0.555248i
$883$	0.425590	−	2.41364i	0.0143222	−	0.0812254i	−0.976809	−	0.214113i	$-0.931314\pi$
$883$	0.425590	−	2.41364i	0.0143222	−	0.0812254i	0.991131	+	0.132888i	$0.0424250\pi$
$884$	−3.03802	+	17.2295i	−0.102180	+	0.579490i
$885$	−5.26655	−	9.12192i	−0.177033	−	0.306630i
$886$	8.74666	−	15.1497i	0.293850	−	0.508963i
$887$	21.8700	+	18.3511i	0.734322	+	0.616170i	0.931306	−	0.364237i	$-0.118670\pi$
$887$	21.8700	+	18.3511i	0.734322	+	0.616170i	−0.196984	+	0.980407i	$0.563115\pi$
$888$	−4.30219	−	1.56587i	−0.144372	−	0.0525471i
$889$	0.160512	−	0.0584217i	0.00538341	−	0.00195940i
$890$	−42.6742	+	35.8079i	−1.43044	+	1.20028i
$891$	−1.14036	−	6.46731i	−0.0382036	−	0.216663i
$892$	−14.4358			−0.483347
$893$	21.1656	+	10.6797i	0.708281	+	0.357381i
$894$	5.27236			0.176334
$895$	−2.94093	−	16.6788i	−0.0983044	−	0.557512i
$896$	0.0364984	−	0.0306258i	0.00121933	−	0.00102314i
$897$	8.42615	−	3.06687i	0.281341	−	0.102400i
$898$	−17.1787	−	6.25253i	−0.573260	−	0.208650i
$899$	−11.7062	−	9.82266i	−0.390423	−	0.327604i
$900$	6.87436	−	11.9067i	0.229145	−	0.396892i
$901$	10.6603	+	18.4643i	0.355148	+	0.615134i
$902$	−0.445799	+	2.52825i	−0.0148435	+	0.0841816i
$903$	0.0466697	−	0.264677i	0.00155307	−	0.00880791i
$904$	8.70586	+	15.0790i	0.289553	+	0.501520i
$905$	−16.2084	+	28.0737i	−0.538784	+	0.933202i
$906$	−0.402735	−	0.337935i	−0.0133800	−	0.0112271i
$907$	−27.9629	−	10.1777i	−0.928494	−	0.337944i	−0.166881	−	0.985977i	$-0.553370\pi$
$907$	−27.9629	−	10.1777i	−0.928494	−	0.337944i	−0.761612	+	0.648033i	$0.775592\pi$
$908$	1.10729	−	0.403021i	0.0367467	−	0.0133747i
$909$	15.4845	−	12.9930i	0.513589	−	0.430952i
$910$	0.0682933	+	0.387311i	0.00226390	+	0.0128392i
$911$	−30.4466			−1.00874			−0.504371	−	0.863487i	$-0.668276\pi$
$911$	−30.4466			−1.00874			−0.504371	+	0.863487i	$0.668276\pi$
$912$	−2.05544	−	1.03712i	−0.0680624	−	0.0343426i
$913$	14.4422			0.477966
$914$	−4.92047	−	27.9054i	−0.162755	−	0.923029i
$915$	−0.413239	+	0.346749i	−0.0136613	+	0.0114632i
$916$	−13.0421	+	4.74695i	−0.430925	+	0.156844i
$917$	−0.564461	−	0.205447i	−0.0186401	−	0.00678446i
$918$	−15.5555	−	13.0526i	−0.513407	−	0.430800i
$919$	−19.5006	+	33.7760i	−0.643266	+	1.11417i	0.341434	+	0.939906i	$0.389088\pi$
$919$	−19.5006	+	33.7760i	−0.643266	+	1.11417i	−0.984699	+	0.174263i	$0.944246\pi$
$920$	10.3379	+	17.9057i	0.340829	+	0.590334i
$921$	2.12919	−	12.0752i	0.0701590	−	0.397892i
$922$	−2.98992	+	16.9567i	−0.0984679	+	0.558439i
$923$	17.2074	+	29.8040i	0.566387	+	0.981011i
$924$	0.0125826	−	0.0217937i	0.000413936	−	0.000716959i
$925$	33.5511	+	28.1527i	1.10315	+	0.925657i
$926$	−1.90790	−	0.694420i	−0.0626976	−	0.0228201i
$927$	35.0722	−	12.7652i	1.15192	−	0.419265i
$928$	−1.47476	+	1.23747i	−0.0484115	+	0.0406220i
$929$	6.13587	+	34.7983i	0.201311	+	1.14169i	0.903139	+	0.429347i	$0.141256\pi$
$929$	6.13587	+	34.7983i	0.201311	+	1.14169i	−0.701828	+	0.712346i	$0.747632\pi$
$930$	13.2928			0.435887
$931$	−29.6934	+	6.97854i	−0.973161	+	0.228712i
$932$	−28.1887			−0.923353
$933$	1.07235	+	6.08160i	0.0351072	+	0.199103i
$934$	4.70111	−	3.94470i	0.153825	−	0.129074i
$935$	−20.0218	+	7.28735i	−0.654784	+	0.238322i
$936$	6.65678	+	2.42287i	0.217584	+	0.0791940i
$937$	5.07268	+	4.25649i	0.165717	+	0.139053i	0.721875	−	0.692023i	$-0.243281\pi$
$937$	5.07268	+	4.25649i	0.165717	+	0.139053i	−0.556158	+	0.831077i	$0.687725\pi$
$938$	−0.0118716	+	0.0205621i	−0.000387620	+	0.000671378i
$939$	−9.03629	−	15.6513i	−0.294888	−	0.510761i
$940$	−2.99447	+	16.9825i	−0.0976688	+	0.553907i
$941$	1.47263	−	8.35173i	0.0480065	−	0.272258i	−0.951351	−	0.308110i	$-0.900303\pi$
$941$	1.47263	−	8.35173i	0.0480065	−	0.272258i	0.999357	+	0.0358520i	$0.0114145\pi$
$942$	−4.38762	−	7.59958i	−0.142956	−	0.247608i
$943$	−8.37061	+	14.4983i	−0.272585	+	0.472130i
$944$	4.81823	+	4.04297i	0.156820	+	0.131588i
$945$	−0.428946	−	0.156123i	−0.0139536	−	0.00507870i
$946$	−10.0358	+	3.65273i	−0.326292	+	0.118760i
$947$	16.9088	−	14.1882i	0.549463	−	0.461054i	−0.325296	−	0.945612i	$-0.605464\pi$
$947$	16.9088	−	14.1882i	0.549463	−	0.461054i	0.874759	+	0.484558i	$0.161020\pi$
$948$	−0.342674	−	1.94340i	−0.0111295	−	0.0631187i
$949$	12.7913			0.415224
$950$	15.0840	+	16.0484i	0.489389	+	0.520680i
$951$	−1.68503			−0.0546409
$952$	0.0555988	+	0.315316i	0.00180197	+	0.0102195i
$953$	−43.3784	+	36.3988i	−1.40517	+	1.17907i	−0.446415	+	0.894826i	$0.647299\pi$
$953$	−43.3784	+	36.3988i	−1.40517	+	1.17907i	−0.958751	+	0.284248i	$0.908256\pi$
$954$	8.11232	−	2.95264i	0.262646	−	0.0955953i
$955$	−20.1572	−	7.33661i	−0.652271	−	0.237407i
$956$	−13.5164	−	11.3416i	−0.437152	−	0.366814i
$957$	−0.508415	+	0.880600i	−0.0164347	+	0.0284658i
$958$	12.5379	+	21.7163i	0.405082	+	0.701623i
$959$	−0.0294522	+	0.167032i	−0.000951063	+	0.00539374i
$960$	0.290799	−	1.64920i	0.00938549	−	0.0532278i
$961$	−16.0033	−	27.7186i	−0.516237	−	0.894148i
$962$	−11.2834	+	19.5434i	−0.363791	+	0.630104i
$963$	−26.1700	−	21.9592i	−0.843316	−	0.707626i
$964$	−20.7812	−	7.56374i	−0.669318	−	0.243612i
$965$	38.6882	−	14.0813i	1.24542	−	0.453294i
$966$	0.125711	−	0.105484i	0.00404467	−	0.00339388i
$967$	−8.97699	−	50.9111i	−0.288681	−	1.63719i	−0.691834	−	0.722057i	$-0.743197\pi$
$967$	−8.97699	−	50.9111i	−0.288681	−	1.63719i	0.403153	−	0.915132i	$-0.367914\pi$
$968$	−1.00000			−0.0321412
$969$	12.9422	−	8.47740i	0.415763	−	0.272333i
$970$	47.3390			1.51996
$971$	0.803720	+	4.55812i	0.0257926	+	0.146277i	0.994984	−	0.100030i	$-0.0318939\pi$
$971$	0.803720	+	4.55812i	0.0257926	+	0.146277i	−0.969192	+	0.246307i	$0.920783\pi$
$972$	−9.60140	+	8.05653i	−0.307965	+	0.258413i
$973$	0.371332	−	0.135154i	0.0119043	−	0.00433283i
$974$	−0.834440	−	0.303711i	−0.0267372	−	0.00973153i
$975$	5.32241	+	4.46603i	0.170454	+	0.143028i
$976$	0.161063	−	0.278969i	0.00515550	−	0.00892958i
$977$	−10.5939	−	18.3492i	−0.338929	−	0.587042i	0.645303	−	0.763927i	$-0.276731\pi$
$977$	−10.5939	−	18.3492i	−0.338929	−	0.587042i	−0.984232	+	0.176885i	$0.943398\pi$
$978$	−0.837964	+	4.75233i	−0.0267951	+	0.151963i
$979$	3.05098	−	17.3029i	0.0975096	−	0.553005i
$980$	−11.0935	−	19.2146i	−0.354370	−	0.613787i
$981$	6.35714	−	11.0109i	0.202968	−	0.351551i
$982$	−5.69958	−	4.78251i	−0.181881	−	0.152616i
$983$	−8.17543	−	2.97561i	−0.260756	−	0.0949073i	0.208334	−	0.978058i	$-0.433196\pi$
$983$	−8.17543	−	2.97561i	−0.260756	−	0.0949073i	−0.469090	+	0.883150i	$0.655418\pi$
$984$	1.27419	−	0.463768i	0.0406197	−	0.0147844i
$985$	48.3919	−	40.6056i	1.54189	−	1.29380i
$986$	−2.24654	−	12.7407i	−0.0715443	−	0.405748i
$987$	0.136869			0.00435660
$988$	−6.79370	+	9.08980i	−0.216136	+	0.289185i
$989$	−69.6440			−2.21455
$990$	1.49812	+	8.49625i	0.0476133	+	0.270029i
$991$	−4.28243	+	3.59339i	−0.136036	+	0.114148i	−0.708267	−	0.705945i	$-0.750523\pi$
$991$	−4.28243	+	3.59339i	−0.136036	+	0.114148i	0.572231	+	0.820093i	$0.306078\pi$
$992$	−7.45897	+	2.71484i	−0.236823	+	0.0861964i
$993$	16.9873	+	6.18286i	0.539075	+	0.196207i
$994$	0.482473	+	0.404843i	0.0153031	+	0.0128408i
$995$	−6.82145	+	11.8151i	−0.216255	+	0.374564i
$996$	−3.81402	−	6.60607i	−0.120852	−	0.209321i
$997$	−0.919343	+	5.21385i	−0.0291159	+	0.165124i	−0.995899	−	0.0904747i	$-0.971162\pi$
$997$	−0.919343	+	5.21385i	−0.0291159	+	0.165124i	0.966783	+	0.255599i	$0.0822727\pi$
$998$	2.80599	−	15.9136i	0.0888221	−	0.503735i
$999$	−13.0963	−	22.6834i	−0.414348	−	0.717672i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	418.2.j.a.199.2	✓	24
19.6	even	9		7942.2.a.bt.1.5		12
19.13	odd	18		7942.2.a.bx.1.8		12
19.17	even	9	inner	418.2.j.a.397.2	yes	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
418.2.j.a.199.2	✓	24	1.1	even	1	trivial
418.2.j.a.397.2	yes	24	19.17	even	9	inner
7942.2.a.bt.1.5		12	19.6	even	9
7942.2.a.bx.1.8		12	19.13	odd	18

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:	\( N \)	\(=\)	\( 418 = 2 \cdot 11 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	418.j (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.173648 - 0.984808i) q^{2} +(-0.404607 + 0.339506i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(2.97940 + 1.08441i) q^{5} +(0.404607 + 0.339506i) q^{6} +(0.0238226 - 0.0412620i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-0.472502 + 2.67969i) q^{9} +O(q^{10})\)	\(q+(-0.173648 - 0.984808i) q^{2} +(-0.404607 + 0.339506i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(2.97940 + 1.08441i) q^{5} +(0.404607 + 0.339506i) q^{6} +(0.0238226 - 0.0412620i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-0.472502 + 2.67969i) q^{9} +(0.550571 - 3.12244i) q^{10} +(0.500000 + 0.866025i) q^{11} +(0.264089 - 0.457415i) q^{12} +(-1.99434 - 1.67345i) q^{13} +(-0.0447719 - 0.0162956i) q^{14} +(-1.57365 + 0.572762i) q^{15} +(0.766044 - 0.642788i) q^{16} +(1.16693 + 6.61800i) q^{17} +2.72103 q^{18} +(-1.25799 + 4.17342i) q^{19} -3.17061 q^{20} +(0.00436988 + 0.0247828i) q^{21} +(0.766044 - 0.642788i) q^{22} +(6.12779 - 2.23033i) q^{23} +(-0.496324 - 0.180647i) q^{24} +(3.87064 + 3.24786i) q^{25} +(-1.30171 + 2.25463i) q^{26} +(-1.51086 - 2.61688i) q^{27} +(-0.00827352 + 0.0469214i) q^{28} +(0.334302 - 1.89592i) q^{29} +(0.837322 + 1.45028i) q^{30} +(3.96884 - 6.87423i) q^{31} +(-0.766044 - 0.642788i) q^{32} +(-0.496324 - 0.180647i) q^{33} +(6.31482 - 2.29841i) q^{34} +(0.115722 - 0.0971024i) q^{35} +(-0.472502 - 2.67969i) q^{36} +8.66810 q^{37} +(4.32847 + 0.514174i) q^{38} +1.37507 q^{39} +(0.550571 + 3.12244i) q^{40} +(-1.96663 + 1.65020i) q^{41} +(0.0236475 - 0.00860699i) q^{42} +(-10.0358 - 3.65273i) q^{43} +(-0.766044 - 0.642788i) q^{44} +(-4.31366 + 7.47148i) q^{45} +(-3.26053 - 5.64740i) q^{46} +(0.944445 - 5.35622i) q^{47} +(-0.0917170 + 0.520153i) q^{48} +(3.49886 + 6.06021i) q^{49} +(2.52638 - 4.37583i) q^{50} +(-2.71900 - 2.28151i) q^{51} +(2.44642 + 0.890424i) q^{52} +(2.98134 - 1.08512i) q^{53} +(-2.31477 + 1.94232i) q^{54} +(0.550571 + 3.12244i) q^{55} +0.0476453 q^{56} +(-0.907908 - 2.11569i) q^{57} -1.92517 q^{58} +(1.09220 + 6.19419i) q^{59} +(1.28285 - 1.07644i) q^{60} +(0.302699 - 0.110173i) q^{61} +(-7.45897 - 2.71484i) q^{62} +(0.0993132 + 0.0833337i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-4.12723 - 7.14856i) q^{65} +(-0.0917170 + 0.520153i) q^{66} +(0.0865342 - 0.490760i) q^{67} +(-3.36005 - 5.81977i) q^{68} +(-1.72214 + 2.98283i) q^{69} +(-0.115722 - 0.0971024i) q^{70} +(-12.4218 - 4.52117i) q^{71} +(-2.55693 + 0.930647i) q^{72} +(-3.76378 + 3.15818i) q^{73} +(-1.50520 - 8.53641i) q^{74} -2.66876 q^{75} +(-0.245268 - 4.35199i) q^{76} +0.0476453 q^{77} +(-0.238779 - 1.35418i) q^{78} +(2.86210 - 2.40159i) q^{79} +(2.97940 - 1.08441i) q^{80} +(-6.17104 - 2.24607i) q^{81} +(1.96663 + 1.65020i) q^{82} +(7.22109 - 12.5073i) q^{83} +(-0.0125826 - 0.0217937i) q^{84} +(-3.69989 + 20.9831i) q^{85} +(-1.85454 + 10.5176i) q^{86} +(0.508415 + 0.880600i) q^{87} +(-0.500000 + 0.866025i) q^{88} +(-13.4593 - 11.2937i) q^{89} +(8.10703 + 2.95072i) q^{90} +(-0.116560 + 0.0424245i) q^{91} +(-4.99542 + 4.19166i) q^{92} +(0.728020 + 4.12881i) q^{93} -5.43884 q^{94} +(-8.27377 + 11.0701i) q^{95} +0.528177 q^{96} +(2.59266 + 14.7037i) q^{97} +(5.36057 - 4.49805i) q^{98} +(-2.55693 + 0.930647i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + 12 q^{8}+O(q^{10}) \) 24 * q + 12 * q^8	\( 24 q + 12 q^{8} + 12 q^{11} - 3 q^{12} - 3 q^{13} + 3 q^{14} + 27 q^{15} - 6 q^{18} - 21 q^{19} - 18 q^{20} + 15 q^{21} + 9 q^{23} + 36 q^{25} - 21 q^{27} - 3 q^{28} - 9 q^{30} - 27 q^{31} - 9 q^{34} - 45 q^{35} + 18 q^{37} + 9 q^{38} + 36 q^{39} - 18 q^{41} + 39 q^{42} - 48 q^{43} + 36 q^{45} - 18 q^{46} - 9 q^{47} + 6 q^{49} + 3 q^{50} - 18 q^{51} - 3 q^{52} - 36 q^{53} - 45 q^{54} + 18 q^{58} + 9 q^{59} - 9 q^{60} + 15 q^{61} - 33 q^{62} + 87 q^{63} - 12 q^{64} - 36 q^{65} + 33 q^{67} + 9 q^{68} - 18 q^{69} + 45 q^{70} - 9 q^{71} - 3 q^{73} + 3 q^{74} + 42 q^{75} + 9 q^{76} + 12 q^{78} + 15 q^{79} - 108 q^{81} + 18 q^{82} + 36 q^{83} - 9 q^{84} - 99 q^{85} - 33 q^{86} + 63 q^{87} - 12 q^{88} - 27 q^{89} - 36 q^{90} - 21 q^{91} - 9 q^{92} - 21 q^{93} + 54 q^{94} + 18 q^{95} - 6 q^{96} + 45 q^{97} + 39 q^{98}+O(q^{100}) \) 24 * q + 12 * q^8 + 12 * q^11 - 3 * q^12 - 3 * q^13 + 3 * q^14 + 27 * q^15 - 6 * q^18 - 21 * q^19 - 18 * q^20 + 15 * q^21 + 9 * q^23 + 36 * q^25 - 21 * q^27 - 3 * q^28 - 9 * q^30 - 27 * q^31 - 9 * q^34 - 45 * q^35 + 18 * q^37 + 9 * q^38 + 36 * q^39 - 18 * q^41 + 39 * q^42 - 48 * q^43 + 36 * q^45 - 18 * q^46 - 9 * q^47 + 6 * q^49 + 3 * q^50 - 18 * q^51 - 3 * q^52 - 36 * q^53 - 45 * q^54 + 18 * q^58 + 9 * q^59 - 9 * q^60 + 15 * q^61 - 33 * q^62 + 87 * q^63 - 12 * q^64 - 36 * q^65 + 33 * q^67 + 9 * q^68 - 18 * q^69 + 45 * q^70 - 9 * q^71 - 3 * q^73 + 3 * q^74 + 42 * q^75 + 9 * q^76 + 12 * q^78 + 15 * q^79 - 108 * q^81 + 18 * q^82 + 36 * q^83 - 9 * q^84 - 99 * q^85 - 33 * q^86 + 63 * q^87 - 12 * q^88 - 27 * q^89 - 36 * q^90 - 21 * q^91 - 9 * q^92 - 21 * q^93 + 54 * q^94 + 18 * q^95 - 6 * q^96 + 45 * q^97 + 39 * q^98

Introduction

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