LMFDB - Embedded newform 525.2.bs.a.2.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [525,2,Mod(2,525)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(525, base_ring=CyclotomicField(60))

chi = DirichletCharacter(H, H._module([30, 3, 20]))

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

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

chi := DirichletCharacter("525.2");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 525 = 3 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	525.bs (of order $60$, degree $16$, 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:	$4.19214610612$
Analytic rank:	$0$
Dimension:	$1216$
Relative dimension:	$76$ over $\Q(\zeta_{60})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label			2.6
Character	$\chi$	$=$	525.2
Dual form			525.2.bs.a.263.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.90594 - 1.54340i) q^{2} +(0.518584 + 1.65260i) q^{3} +(0.834698 + 3.92695i) q^{4} +(0.362947 - 2.20642i) q^{5} +(1.56222 - 3.95012i) q^{6} +(2.39774 - 1.11841i) q^{7} +(2.24315 - 4.40243i) q^{8} +(-2.46214 + 1.71402i) q^{9} +O(q^{10})$	\(q+(-1.90594 - 1.54340i) q^{2} +(0.518584 + 1.65260i) q^{3} +(0.834698 + 3.92695i) q^{4} +(0.362947 - 2.20642i) q^{5} +(1.56222 - 3.95012i) q^{6} +(2.39774 - 1.11841i) q^{7} +(2.24315 - 4.40243i) q^{8} +(-2.46214 + 1.71402i) q^{9} +(-4.09713 + 3.64512i) q^{10} +(2.26220 - 5.08098i) q^{11} +(-6.05679 + 3.41587i) q^{12} +(-2.82118 + 0.446832i) q^{13} +(-6.29610 - 1.56904i) q^{14} +(3.83453 - 0.544407i) q^{15} +(-3.73482 + 1.66285i) q^{16} +(0.193702 + 3.69606i) q^{17} +(7.33810 + 0.533254i) q^{18} +(0.153681 - 0.723010i) q^{19} +(8.96742 - 0.416419i) q^{20} +(3.09171 + 3.38250i) q^{21} +(-12.1536 + 6.19256i) q^{22} +(0.650094 - 0.802799i) q^{23} +(8.43869 + 1.42399i) q^{24} +(-4.73654 - 1.60162i) q^{25} +(6.06664 + 3.50258i) q^{26} +(-4.10940 - 3.18006i) q^{27} +(6.39333 + 8.48226i) q^{28} +(0.314914 - 0.969205i) q^{29} +(-8.14861 - 4.88060i) q^{30} +(4.01824 - 4.46271i) q^{31} +(0.139570 + 0.0373976i) q^{32} +(9.56994 + 1.10358i) q^{33} +(5.33531 - 7.34343i) q^{34} +(-1.59743 - 5.69633i) q^{35} +(-8.78600 - 8.23801i) q^{36} +(6.11658 + 2.34794i) q^{37} +(-1.40880 + 1.14082i) q^{38} +(-2.20145 - 4.43056i) q^{39} +(-8.89944 - 6.54716i) q^{40} +(6.45844 - 8.88929i) q^{41} +(-0.672061 - 11.2186i) q^{42} +(4.98051 - 4.98051i) q^{43} +(21.8410 + 4.64244i) q^{44} +(2.88821 + 6.05461i) q^{45} +(-2.47808 + 0.526731i) q^{46} +(-8.98978 - 0.471135i) q^{47} +(-4.68483 - 5.30982i) q^{48} +(4.49831 - 5.36332i) q^{49} +(6.55561 + 10.3630i) q^{50} +(-6.00765 + 2.23683i) q^{51} +(-4.10952 - 10.7057i) q^{52} +(-7.48591 - 4.86141i) q^{53} +(2.92417 + 12.4034i) q^{54} +(-10.3897 - 6.83547i) q^{55} +(0.454758 - 13.0646i) q^{56} +(1.27454 - 0.120970i) q^{57} +(-2.09608 + 1.36121i) q^{58} +(-0.364786 + 3.47070i) q^{59} +(5.33853 + 14.6036i) q^{60} +(0.556952 + 5.29905i) q^{61} +(-14.5463 + 2.30390i) q^{62} +(-3.98660 + 6.86346i) q^{63} +(4.59776 + 6.32827i) q^{64} +(-0.0380431 + 6.38688i) q^{65} +(-16.5364 - 16.8736i) q^{66} +(6.90154 - 0.361694i) q^{67} +(-14.3526 + 3.84576i) q^{68} +(1.66383 + 0.658023i) q^{69} +(-5.74711 + 13.3223i) q^{70} +(6.44445 + 2.09393i) q^{71} +(2.02289 + 14.6842i) q^{72} +(-10.3220 + 3.96224i) q^{73} +(-8.03402 - 13.9153i) q^{74} +(0.190542 - 8.65816i) q^{75} +2.96750 q^{76} +(-0.258468 - 14.7129i) q^{77} +(-2.64228 + 11.8421i) q^{78} +(6.29394 - 5.66709i) q^{79} +(2.31339 + 8.84409i) q^{80} +(3.12429 - 8.44031i) q^{81} +(-26.0291 + 6.97448i) q^{82} +(-1.68379 + 3.30462i) q^{83} +(-10.7023 + 14.9643i) q^{84} +(8.22536 + 0.914086i) q^{85} +(-17.1795 + 1.80563i) q^{86} +(1.76501 + 0.0178112i) q^{87} +(-17.2942 - 21.3566i) q^{88} +(-1.24035 - 11.8011i) q^{89} +(3.83992 - 15.9974i) q^{90} +(-6.26472 + 4.22663i) q^{91} +(3.69518 + 1.88279i) q^{92} +(9.45885 + 4.32624i) q^{93} +(16.4068 + 14.7728i) q^{94} +(-1.53948 - 0.601498i) q^{95} +(0.0105755 + 0.250046i) q^{96} +(13.1835 - 6.71730i) q^{97} +(-16.8512 + 3.27948i) q^{98} +(3.13904 + 16.3875i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1216 q - 8 q^{3} - 20 q^{4} - 24 q^{6} - 28 q^{7} - 10 q^{9}+O(q^{10}) $ 1216 * q - 8 * q^3 - 20 * q^4 - 24 * q^6 - 28 * q^7 - 10 * q^9	$ 1216 q - 8 q^{3} - 20 q^{4} - 24 q^{6} - 28 q^{7} - 10 q^{9} - 12 q^{10} - 64 q^{13} - 44 q^{15} - 140 q^{16} - 24 q^{18} - 20 q^{19} - 12 q^{21} + 8 q^{22} - 24 q^{25} - 80 q^{27} - 40 q^{28} - 50 q^{30} - 12 q^{31} - 6 q^{33} - 80 q^{34} + 8 q^{36} - 24 q^{37} - 50 q^{39} - 4 q^{40} - 34 q^{42} - 96 q^{43} + 30 q^{45} - 12 q^{46} - 44 q^{48} - 16 q^{51} - 136 q^{52} - 10 q^{54} - 40 q^{55} - 112 q^{57} - 76 q^{58} - 60 q^{60} - 12 q^{61} - 14 q^{63} - 80 q^{64} - 30 q^{66} - 32 q^{67} + 100 q^{69} - 100 q^{70} + 24 q^{72} - 72 q^{73} - 96 q^{75} - 64 q^{76} + 20 q^{78} - 20 q^{79} - 6 q^{81} - 204 q^{82} + 100 q^{84} - 56 q^{85} + 36 q^{87} - 140 q^{88} + 164 q^{90} - 24 q^{91} + 34 q^{93} - 20 q^{94} - 30 q^{96} - 240 q^{97}+O(q^{100}) $ 1216 * q - 8 * q^3 - 20 * q^4 - 24 * q^6 - 28 * q^7 - 10 * q^9 - 12 * q^10 - 64 * q^13 - 44 * q^15 - 140 * q^16 - 24 * q^18 - 20 * q^19 - 12 * q^21 + 8 * q^22 - 24 * q^25 - 80 * q^27 - 40 * q^28 - 50 * q^30 - 12 * q^31 - 6 * q^33 - 80 * q^34 + 8 * q^36 - 24 * q^37 - 50 * q^39 - 4 * q^40 - 34 * q^42 - 96 * q^43 + 30 * q^45 - 12 * q^46 - 44 * q^48 - 16 * q^51 - 136 * q^52 - 10 * q^54 - 40 * q^55 - 112 * q^57 - 76 * q^58 - 60 * q^60 - 12 * q^61 - 14 * q^63 - 80 * q^64 - 30 * q^66 - 32 * q^67 + 100 * q^69 - 100 * q^70 + 24 * q^72 - 72 * q^73 - 96 * q^75 - 64 * q^76 + 20 * q^78 - 20 * q^79 - 6 * q^81 - 204 * q^82 + 100 * q^84 - 56 * q^85 + 36 * q^87 - 140 * q^88 + 164 * q^90 - 24 * q^91 + 34 * q^93 - 20 * q^94 - 30 * q^96 - 240 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/525\mathbb{Z}\right)^\times$.

$n$	$127$	$176$	$451$
$\chi(n)$	$e\left(\frac{1}{20}\right)$	$-1$	$e\left(\frac{1}{3}\right)$

Coefficient data

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

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

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

$2$	−1.90594	−	1.54340i	−1.34770	−	1.09135i	−0.987354	−	0.158529i	$-0.949325\pi$
$2$	−1.90594	−	1.54340i	−1.34770	−	1.09135i	−0.360347	−	0.932818i	$-0.617342\pi$
$3$	0.518584	+	1.65260i	0.299404	+	0.954126i
$3$	0.518584	+	1.65260i	0.299404	+	0.954126i
$4$	0.834698	+	3.92695i	0.417349	+	1.96347i
$5$	0.362947	−	2.20642i	0.162315	−	0.986739i
$5$	0.362947	−	2.20642i	0.162315	−	0.986739i
$6$	1.56222	−	3.95012i	0.637775	−	1.61263i
$7$	2.39774	−	1.11841i	0.906260	−	0.422720i
$7$	2.39774	−	1.11841i	0.906260	−	0.422720i
$8$	2.24315	−	4.40243i	0.793073	−	1.55649i
$9$	−2.46214	+	1.71402i	−0.820714	+	0.571339i
$10$	−4.09713	+	3.64512i	−1.29563	+	1.15269i
$11$	2.26220	−	5.08098i	0.682078	−	1.53197i	−0.156786	−	0.987633i	$-0.550113\pi$
$11$	2.26220	−	5.08098i	0.682078	−	1.53197i	0.838864	−	0.544341i	$-0.183220\pi$
$12$	−6.05679	+	3.41587i	−1.74844	+	0.986076i
$13$	−2.82118	+	0.446832i	−0.782456	+	0.123929i	−0.534867	−	0.844936i	$-0.679638\pi$
$13$	−2.82118	+	0.446832i	−0.782456	+	0.123929i	−0.247589	+	0.968865i	$0.579638\pi$
$14$	−6.29610	−	1.56904i	−1.68270	−	0.419344i
$15$	3.83453	−	0.544407i	0.990071	−	0.140565i
$16$	−3.73482	+	1.66285i	−0.933705	+	0.415712i
$17$	0.193702	+	3.69606i	0.0469798	+	0.896427i	0.915883	+	0.401445i	$0.131492\pi$
$17$	0.193702	+	3.69606i	0.0469798	+	0.896427i	−0.868903	+	0.494982i	$0.835175\pi$
$18$	7.33810	+	0.533254i	1.72961	+	0.125689i
$19$	0.153681	−	0.723010i	0.0352568	−	0.165870i	−0.956997	−	0.290098i	$-0.906312\pi$
$19$	0.153681	−	0.723010i	0.0352568	−	0.165870i	0.992254	+	0.124228i	$0.0396454\pi$
$20$	8.96742	−	0.416419i	2.00518	−	0.0931141i
$21$	3.09171	+	3.38250i	0.674667	+	0.738123i
$22$	−12.1536	+	6.19256i	−2.59115	+	1.32026i
$23$	0.650094	−	0.802799i	0.135554	−	0.167395i	−0.704849	−	0.709358i	$-0.748985\pi$
$23$	0.650094	−	0.802799i	0.135554	−	0.167395i	0.840403	+	0.541962i	$0.182319\pi$
$24$	8.43869	+	1.42399i	1.72254	+	0.290671i
$25$	−4.73654	−	1.60162i	−0.947308	−	0.320324i
$26$	6.06664	+	3.50258i	1.18977	+	0.686912i
$27$	−4.10940	−	3.18006i	−0.790855	−	0.612003i
$28$	6.39333	+	8.48226i	1.20823	+	1.60300i
$29$	0.314914	−	0.969205i	0.0584780	−	0.179977i	−0.917551	−	0.397619i	$-0.869837\pi$
$29$	0.314914	−	0.969205i	0.0584780	−	0.179977i	0.976029	+	0.217642i	$0.0698366\pi$
$30$	−8.14861	−	4.88060i	−1.48773	−	0.891072i
$31$	4.01824	−	4.46271i	0.721698	−	0.801527i	−0.264973	−	0.964256i	$-0.585363\pi$
$31$	4.01824	−	4.46271i	0.721698	−	0.801527i	0.986671	+	0.162729i	$0.0520297\pi$
$32$	0.139570	+	0.0373976i	0.0246727	+	0.00661103i
$33$	9.56994	+	1.10358i	1.66591	+	0.192109i
$34$	5.33531	−	7.34343i	0.914998	−	1.25939i
$35$	−1.59743	−	5.69633i	−0.270015	−	0.962856i
$36$	−8.78600	−	8.23801i	−1.46433	−	1.37300i
$37$	6.11658	+	2.34794i	1.00556	+	0.385998i	0.804738	−	0.593630i	$-0.202306\pi$
$37$	6.11658	+	2.34794i	1.00556	+	0.385998i	0.200821	+	0.979628i	$0.435639\pi$
$38$	−1.40880	+	1.14082i	−0.228537	+	0.185066i
$39$	−2.20145	−	4.43056i	−0.352514	−	0.709457i
$40$	−8.89944	−	6.54716i	−1.40712	−	1.03520i
$41$	6.45844	−	8.88929i	1.00864	−	1.38827i	0.0887686	−	0.996052i	$-0.471707\pi$
$41$	6.45844	−	8.88929i	1.00864	−	1.38827i	0.919871	−	0.392221i	$-0.128293\pi$
$42$	−0.672061	−	11.2186i	−0.103701	−	1.73106i
$43$	4.98051	−	4.98051i	0.759521	−	0.759521i	−0.216714	−	0.976235i	$-0.569534\pi$
$43$	4.98051	−	4.98051i	0.759521	−	0.759521i	0.976235	+	0.216714i	$0.0695339\pi$
$44$	21.8410	+	4.64244i	3.29265	+	0.699875i
$45$	2.88821	+	6.05461i	0.430549	+	0.902567i
$46$	−2.47808	+	0.526731i	−0.365372	+	0.0776623i
$47$	−8.98978	−	0.471135i	−1.31129	−	0.0687220i	−0.616171	−	0.787612i	$-0.711317\pi$
$47$	−8.98978	−	0.471135i	−1.31129	−	0.0687220i	−0.695124	+	0.718890i	$0.744650\pi$
$48$	−4.68483	−	5.30982i	−0.676197	−	0.766406i
$49$	4.49831	−	5.36332i	0.642616	−	0.766189i
$50$	6.55561	+	10.3630i	0.927103	+	1.46554i
$51$	−6.00765	+	2.23683i	−0.841239	+	0.313219i
$52$	−4.10952	−	10.7057i	−0.569888	−	1.48461i
$53$	−7.48591	−	4.86141i	−1.02827	−	0.667766i	−0.0838397	−	0.996479i	$-0.526718\pi$
$53$	−7.48591	−	4.86141i	−1.02827	−	0.667766i	−0.944430	+	0.328713i	$0.893385\pi$
$54$	2.92417	+	12.4034i	0.397929	+	1.68790i
$55$	−10.3897	−	6.83547i	−1.40095	−	0.921695i
$56$	0.454758	−	13.0646i	0.0607696	−	1.74584i
$57$	1.27454	−	0.120970i	0.168817	−	0.0160228i
$58$	−2.09608	+	1.36121i	−0.275228	+	0.178735i
$59$	−0.364786	+	3.47070i	−0.0474911	+	0.451847i	0.944775	+	0.327719i	$0.106280\pi$
$59$	−0.364786	+	3.47070i	−0.0474911	+	0.451847i	−0.992266	+	0.124128i	$0.960387\pi$
$60$	5.33853	+	14.6036i	0.689201	+	1.88531i
$61$	0.556952	+	5.29905i	0.0713104	+	0.678473i	0.970531	+	0.240977i	$0.0774679\pi$
$61$	0.556952	+	5.29905i	0.0713104	+	0.678473i	−0.899220	+	0.437496i	$0.855865\pi$
$62$	−14.5463	+	2.30390i	−1.84738	+	0.292596i
$63$	−3.98660	+	6.86346i	−0.502264	+	0.864714i
$64$	4.59776	+	6.32827i	0.574719	+	0.791033i
$65$	−0.0380431	+	6.38688i	−0.00471866	+	0.792195i
$66$	−16.5364	−	16.8736i	−2.03550	−	2.07700i
$67$	6.90154	−	0.361694i	0.843157	−	0.0441880i	0.374135	−	0.927374i	$-0.377940\pi$
$67$	6.90154	−	0.361694i	0.843157	−	0.0441880i	0.469022	+	0.883186i	$0.344606\pi$
$68$	−14.3526	+	3.84576i	−1.74050	+	0.466366i
$69$	1.66383	+	0.658023i	0.200302	+	0.0792167i
$70$	−5.74711	+	13.3223i	−0.686911	+	1.59232i
$71$	6.44445	+	2.09393i	0.764816	+	0.248504i	0.665344	−	0.746537i	$-0.268285\pi$
$71$	6.44445	+	2.09393i	0.764816	+	0.248504i	0.0994717	+	0.995040i	$0.468285\pi$
$72$	2.02289	+	14.6842i	0.238399	+	1.73055i
$73$	−10.3220	+	3.96224i	−1.20810	+	0.463745i	−0.877293	−	0.479955i	$-0.840653\pi$
$73$	−10.3220	+	3.96224i	−1.20810	+	0.463745i	−0.330804	+	0.943700i	$0.607320\pi$
$74$	−8.03402	−	13.9153i	−0.933936	−	1.61763i
$75$	0.190542	−	8.65816i	0.0220019	−	0.999758i
$76$	2.96750			0.340396
$77$	−0.258468	−	14.7129i	−0.0294551	−	1.67669i
$78$	−2.64228	+	11.8421i	−0.299179	+	1.34085i
$79$	6.29394	−	5.66709i	0.708124	−	0.637598i	−0.234243	−	0.972178i	$-0.575261\pi$
$79$	6.29394	−	5.66709i	0.708124	−	0.637598i	0.942367	+	0.334580i	$0.108595\pi$
$80$	2.31339	+	8.84409i	0.258645	+	0.988799i
$81$	3.12429	−	8.44031i	0.347143	−	0.937812i
$82$	−26.0291	+	6.97448i	−2.87443	+	0.770202i
$83$	−1.68379	+	3.30462i	−0.184820	+	0.362729i	−0.964763	−	0.263122i	$-0.915248\pi$
$83$	−1.68379	+	3.30462i	−0.184820	+	0.362729i	0.779943	+	0.625850i	$0.215248\pi$
$84$	−10.7023	+	14.9643i	−1.16771	+	1.63274i
$85$	8.22536	+	0.914086i	0.892165	+	0.0991465i
$86$	−17.1795	+	1.80563i	−1.85251	+	0.194707i
$87$	1.76501	+	0.0178112i	0.189229	+	0.00190956i
$88$	−17.2942	−	21.3566i	−1.84357	−	2.27662i
$89$	−1.24035	−	11.8011i	−0.131477	−	1.25092i	−0.838962	−	0.544190i	$-0.816837\pi$
$89$	−1.24035	−	11.8011i	−0.131477	−	1.25092i	0.707485	−	0.706728i	$-0.249830\pi$
$90$	3.83992	−	15.9974i	0.404763	−	1.68627i
$91$	−6.26472	+	4.22663i	−0.656721	+	0.443072i
$92$	3.69518	+	1.88279i	0.385249	+	0.196294i
$93$	9.45885	+	4.32624i	0.980837	+	0.448610i
$94$	16.4068	+	14.7728i	1.69223	+	1.52369i
$95$	−1.53948	−	0.601498i	−0.157948	−	0.0617123i
$96$	0.0105755	+	0.250046i	0.00107936	+	0.0255202i
$97$	13.1835	−	6.71730i	1.33858	−	0.682039i	0.369600	−	0.929191i	$-0.379495\pi$
$97$	13.1835	−	6.71730i	1.33858	−	0.682039i	0.968977	+	0.247152i	$0.0794947\pi$
$98$	−16.8512	+	3.27948i	−1.70223	+	0.331277i
$99$	3.13904	+	16.3875i	0.315485	+	1.64701i
$100$	2.33590	−	19.9370i	0.233590	−	1.99370i
$101$	1.60184	−	0.924820i	0.159389	−	0.0920231i	−0.418184	−	0.908362i	$-0.637333\pi$
$101$	1.60184	−	0.924820i	0.159389	−	0.0920231i	0.577573	+	0.816339i	$0.304000\pi$
$102$	14.9025	+	5.00893i	1.47557	+	0.495958i
$103$	4.82252	+	0.252738i	0.475177	+	0.0249030i	0.288422	−	0.957503i	$-0.406869\pi$
$103$	4.82252	+	0.252738i	0.475177	+	0.0249030i	0.186755	+	0.982406i	$0.440203\pi$
$104$	−4.36119	+	13.4224i	−0.427650	+	1.31617i
$105$	8.58533	−	5.59393i	0.837843	−	0.545912i
$106$	6.76460	+	20.8193i	0.657036	+	2.02215i
$107$	3.84373	+	14.3450i	0.371588	+	1.38678i	0.858267	+	0.513204i	$0.171541\pi$
$107$	3.84373	+	14.3450i	0.371588	+	1.38678i	−0.486679	+	0.873581i	$0.661792\pi$
$108$	9.05782	−	18.7918i	0.871589	−	1.80824i
$109$	−8.69501	−	0.913883i	−0.832831	−	0.0875341i	−0.321491	−	0.946913i	$-0.604184\pi$
$109$	−8.69501	−	0.913883i	−0.832831	−	0.0875341i	−0.511340	+	0.859379i	$0.670851\pi$
$110$	9.25226	+	29.0634i	0.882168	+	2.77109i
$111$	−0.708228	+	11.3258i	−0.0672221	+	1.07500i
$112$	−7.09537	+	8.16414i	−0.670450	+	0.771439i
$113$	−0.0454582	−	0.287012i	−0.00427635	−	0.0269998i	0.985458	−	0.169920i	$-0.0543509\pi$
$113$	−0.0454582	−	0.287012i	−0.00427635	−	0.0269998i	−0.989734	+	0.142920i	$0.954351\pi$
$114$	−2.61590	−	1.73656i	−0.245001	−	0.162644i
$115$	−1.53536	−	1.72575i	−0.143173	−	0.160927i
$116$	4.06887	+	0.427656i	0.377785	+	0.0397069i
$117$	6.18028	−	5.93572i	0.571367	−	0.548758i
$118$	6.05194	−	6.05194i	0.557126	−	0.557126i
$119$	4.59817	+	8.64556i	0.421514	+	0.792537i
$120$	6.20471	−	18.1024i	0.566410	−	1.65252i
$121$	−13.3384	−	14.8138i	−1.21258	−	1.34671i
$122$	7.11702	−	10.9593i	0.644345	−	0.992204i
$123$	18.0396	+	6.06336i	1.62658	+	0.546714i
$124$	20.8788	+	12.0544i	1.87498	+	1.08252i
$125$	−5.25296	+	9.86947i	−0.469839	+	0.882752i
$126$	18.1913	−	6.92842i	1.62061	−	0.617232i
$127$	−6.46233	−	1.02353i	−0.573439	−	0.0908238i	−0.137021	−	0.990568i	$-0.543753\pi$
$127$	−6.46233	−	1.02353i	−0.573439	−	0.0908238i	−0.436417	+	0.899744i	$0.643753\pi$
$128$	1.01912	−	19.4460i	0.0900787	−	1.71880i
$129$	10.8136	+	5.64796i	0.952083	+	0.497275i
$130$	9.93001	−	12.1143i	0.870919	−	1.06249i
$131$	−3.31235	+	15.5834i	−0.289402	+	1.36153i	0.557676	+	0.830059i	$0.311693\pi$
$131$	−3.31235	+	15.5834i	−0.289402	+	1.36153i	−0.847078	+	0.531469i	$0.821640\pi$
$132$	3.65430	+	38.5018i	0.318066	+	3.35115i
$133$	−0.440138	−	1.90547i	−0.0381648	−	0.165225i
$134$	−13.7121	−	9.96245i	−1.18455	−	0.860625i
$135$	−8.50803	+	7.91286i	−0.732255	+	0.681031i
$136$	16.7062	+	7.43806i	1.43254	+	0.637808i
$137$	14.2621	+	17.6122i	1.21849	+	1.50471i	0.803971	+	0.594668i	$0.202717\pi$
$137$	14.2621	+	17.6122i	1.21849	+	1.50471i	0.414518	+	0.910041i	$0.363950\pi$
$138$	−2.15556	−	3.82210i	−0.183494	−	0.325359i
$139$	5.34510	+	7.35690i	0.453366	+	0.624004i	0.973116	−	0.230314i	$-0.0739752\pi$
$139$	5.34510	+	7.35690i	0.453366	+	0.624004i	−0.519751	+	0.854318i	$0.673975\pi$
$140$	21.0358	−	11.0277i	1.77785	−	0.932014i
$141$	−3.88336	−	15.1008i	−0.327038	−	1.27172i
$142$	−9.05096	−	13.9373i	−0.759540	−	1.16959i
$143$	−4.11174	+	15.3452i	−0.343841	+	1.28323i
$144$	6.34550	−	10.4957i	0.528792	−	0.874643i
$145$	−2.02417	−	1.04660i	−0.168098	−	0.0869155i
$146$	25.7884	+	8.37915i	2.13426	+	0.693463i
$147$	11.1961	+	4.65255i	0.923443	+	0.383736i
$148$	−4.11472	+	25.9793i	−0.338228	+	2.13549i
$149$	2.98801	−	5.17538i	0.244787	−	0.423984i	−0.717285	−	0.696780i	$-0.754615\pi$
$149$	2.98801	−	5.17538i	0.244787	−	0.423984i	0.962072	+	0.272796i	$0.0879486\pi$
$150$	−13.7261	+	16.2078i	−1.12073	+	1.32336i
$151$	−5.24508	−	9.08475i	−0.426839	−	0.739307i	0.569751	−	0.821817i	$-0.307040\pi$
$151$	−5.24508	−	9.08475i	−0.426839	−	0.739307i	−0.996590	+	0.0825104i	$0.973706\pi$
$152$	−2.83827	−	2.29839i	−0.230214	−	0.186424i
$153$	−6.81204	−	8.76822i	−0.550721	−	0.708869i
$154$	−22.2153	+	28.4409i	−1.79016	+	2.29183i
$155$	−8.38819	−	10.4856i	−0.673756	−	0.842227i
$156$	15.5610	−	12.3432i	1.24588	−	0.988244i
$157$	−0.953671	+	3.55915i	−0.0761112	+	0.284051i	−0.993483	−	0.113981i	$-0.963640\pi$
$157$	−0.953671	+	3.55915i	−0.0761112	+	0.284051i	0.917372	+	0.398031i	$0.130307\pi$
$158$	−20.7424	+	1.08707i	−1.65018	+	0.0864823i
$159$	4.15187	−	14.8922i	0.329265	−	1.18103i
$160$	0.133171	−	0.294376i	0.0105281	−	0.0232724i
$161$	0.660895	−	2.65198i	0.0520859	−	0.209005i
$162$	−18.9815	+	11.2647i	−1.49132	+	0.885037i
$163$	−0.361917	+	0.942826i	−0.0283475	+	0.0738479i	−0.947024	−	0.321164i	$-0.895926\pi$
$163$	−0.361917	+	0.942826i	−0.0283475	+	0.0738479i	0.918676	+	0.395011i	$0.129259\pi$
$164$	40.2986	+	17.9421i	3.14679	+	1.40104i
$165$	5.90835	−	20.7147i	0.459964	−	1.61264i
$166$	8.30953	−	3.69964i	0.644945	−	0.287148i
$167$	−6.09148	−	3.10377i	−0.471373	−	0.240177i	0.202133	−	0.979358i	$-0.435213\pi$
$167$	−6.09148	−	3.10377i	−0.471373	−	0.240177i	−0.673506	+	0.739181i	$0.735213\pi$
$168$	21.8264	−	6.02357i	1.68394	−	0.464729i
$169$	−4.60431	+	1.49603i	−0.354178	+	0.115079i
$170$	−14.2662	−	14.4372i	−1.09417	−	1.10728i
$171$	0.860869	+	2.04357i	0.0658323	+	0.156275i
$172$	23.7154	+	15.4010i	1.80828	+	1.17431i
$173$	−12.6057	+	15.5667i	−0.958394	+	1.18352i	0.0245664	+	0.999698i	$0.492179\pi$
$173$	−12.6057	+	15.5667i	−0.958394	+	1.18352i	−0.982960	+	0.183819i	$0.941154\pi$
$174$	−3.33652	−	2.75806i	−0.252941	−	0.209088i
$175$	−13.1483	+	1.45713i	−0.993915	+	0.110149i
$176$			22.7382i			1.71396i
$177$	−5.92484	+	1.19701i	−0.445338	+	0.0899726i
$178$	−15.8498	+	24.4066i	−1.18799	+	1.82935i
$179$	5.82136	−	1.23737i	0.435109	−	0.0924852i	0.0148503	−	0.999890i	$-0.495273\pi$
$179$	5.82136	−	1.23737i	0.435109	−	0.0924852i	0.420258	+	0.907405i	$0.361939\pi$
$180$	−21.3653	+	16.3956i	−1.59248	+	1.22206i
$181$	3.80498	+	11.7105i	0.282822	+	0.870436i	0.987043	+	0.160455i	$0.0512962\pi$
$181$	3.80498	+	11.7105i	0.282822	+	0.870436i	−0.704221	+	0.709980i	$0.748704\pi$
$182$	18.4635	+	1.61326i	1.36861	+	0.119583i
$183$	−8.46835	+	3.66841i	−0.625999	+	0.271177i
$184$	−2.07601	−	4.66279i	−0.153045	−	0.343745i
$185$	7.40051	−	12.6435i	0.544097	−	0.929572i
$186$	−11.3509	−	22.8443i	−0.832286	−	1.67503i
$187$	19.2178	+	7.37703i	1.40535	+	0.539462i
$188$	−5.65363	−	35.6956i	−0.412334	−	2.60337i
$189$	−13.4099	−	3.02896i	−0.975427	−	0.220324i
$190$	2.00581	+	3.52245i	0.145517	+	0.255546i
$191$	4.57127	+	10.2672i	0.330765	+	0.742911i	1.00000		0.000140083i	$-4.45897e-5\pi$
$191$	4.57127	+	10.2672i	0.330765	+	0.742911i	−0.669235	+	0.743051i	$0.733378\pi$
$192$	−8.07374	+	10.8800i	−0.582672	+	0.785194i
$193$	3.24109	+	0.868449i	0.233299	+	0.0625123i	0.373574	−	0.927600i	$-0.378132\pi$
$193$	3.24109	+	0.868449i	0.233299	+	0.0625123i	−0.140275	+	0.990113i	$0.544799\pi$
$194$	−35.4943	−	7.54455i	−2.54834	−	0.541667i
$195$	−10.5747	+	3.24926i	−0.757267	+	0.232685i
$196$	24.8162	+	13.1879i	1.77259	+	0.941990i
$197$	1.69292	+	3.32254i	0.120616	+	0.236722i	0.943418	−	0.331606i	$-0.107591\pi$
$197$	1.69292	+	3.32254i	0.120616	+	0.236722i	−0.822802	+	0.568328i	$0.807591\pi$
$198$	19.3097	−	36.0784i	1.37228	−	2.56398i
$199$	−13.0352	+	7.52587i	−0.924039	+	0.533494i	−0.884922	−	0.465740i	$-0.845788\pi$
$199$	−13.0352	+	7.52587i	−0.924039	+	0.533494i	−0.0391180	+	0.999235i	$0.512455\pi$
$200$	−17.6758	+	17.2596i	−1.24987	+	1.22044i
$201$	4.17676	+	11.2179i	0.294606	+	0.791248i
$202$	−4.48037	−	0.709620i	−0.315237	−	0.0499287i
$203$	−0.328889	−	2.67611i	−0.0230835	−	0.187826i
$204$	−13.7985	−	21.7246i	−0.966087	−	1.52103i
$205$	−17.2694	−	17.4764i	−1.20615	−	1.22060i
$206$	−8.80135	−	7.92477i	−0.613219	−	0.552145i
$207$	−0.224612	+	3.09088i	−0.0156116	+	0.214831i
$208$	9.79360	−	6.36004i	0.679064	−	0.440989i
$209$	−3.32595	−	2.41644i	−0.230061	−	0.167149i
$210$	−24.9968	−	2.58890i	−1.72494	−	0.178651i
$211$	−12.4249	+	9.02721i	−0.855364	+	0.621458i	−0.926620	−	0.376000i	$-0.877299\pi$
$211$	−12.4249	+	9.02721i	−0.855364	+	0.621458i	0.0712556	+	0.997458i	$0.477299\pi$
$212$	12.8420	−	33.4546i	0.881993	−	2.29767i
$213$	−0.118431	+	11.7360i	−0.00811473	+	0.804134i
$214$	14.8141	−	33.2731i	1.01267	−	2.27450i
$215$	−9.18142	−	12.7967i	−0.626168	−	0.872731i
$216$	−23.2180	+	10.9580i	−1.57978	+	0.745597i
$217$	4.64355	−	15.1945i	0.315225	−	1.03147i
$218$	15.1617	+	15.1617i	1.02688	+	1.02688i
$219$	−11.9008	−	15.0033i	−0.804181	−	1.01383i
$220$	18.1703	−	46.5053i	1.22504	−	3.13539i
$221$	−2.19799	−	10.3407i	−0.147853	−	0.695592i
$222$	18.8301	−	20.4933i	1.26379	−	1.37542i
$223$	0.647380	−	4.08739i	0.0433518	−	0.273712i	−0.956485	−	0.291782i	$-0.905752\pi$
$223$	0.647380	−	4.08739i	0.0433518	−	0.273712i	0.999837	+	0.0180694i	$0.00575197\pi$
$224$	0.376478	−	0.0664268i	0.0251545	−	0.00443833i
$225$	14.4072	−	4.17509i	0.960483	−	0.278339i
$226$	−0.356333	+	0.617187i	−0.0237029	+	0.0410547i
$227$	−11.7673	+	4.51702i	−0.781020	+	0.299805i	−0.716020	−	0.698080i	$-0.754038\pi$
$227$	−11.7673	+	4.51702i	−0.781020	+	0.299805i	−0.0649999	+	0.997885i	$0.520705\pi$
$228$	1.53890	+	4.90408i	0.101916	+	0.324780i
$229$	−13.4556	+	12.1155i	−0.889172	+	0.800614i	−0.980767	−	0.195182i	$-0.937470\pi$
$229$	−13.4556	+	12.1155i	−0.889172	+	0.800614i	0.0915949	+	0.995796i	$0.470804\pi$
$230$	0.262779	+	5.65884i	0.0173271	+	0.373133i
$231$	24.1805	−	8.05703i	1.59096	−	0.530114i
$232$	−3.56046	−	3.56046i	−0.233755	−	0.233755i
$233$	−3.20307	−	4.93229i	−0.209840	−	0.323125i	0.718042	−	0.696000i	$-0.245039\pi$
$233$	−3.20307	−	4.93229i	−0.209840	−	0.323125i	−0.927882	+	0.372875i	$0.878372\pi$
$234$	−20.9404	+	1.77449i	−1.36892	+	0.116002i
$235$	−4.30233	+	19.6642i	−0.280653	+	1.28275i
$236$	−13.9338	+	1.46450i	−0.907010	+	0.0953306i
$237$	12.6293	+	7.46248i	0.820364	+	0.484740i
$238$	4.57971	−	23.5747i	0.296859	−	1.52812i
$239$	−20.5208	+	14.9093i	−1.32738	+	0.964400i	−0.327574	+	0.944826i	$0.606231\pi$
$239$	−20.5208	+	14.9093i	−1.32738	+	0.964400i	−0.999808	+	0.0195739i	$0.993769\pi$
$240$	−13.4160	+	8.40950i	−0.866000	+	0.542831i
$241$	−0.204631	+	1.94693i	−0.0131814	+	0.125413i	−0.999134	−	0.0416140i	$-0.986750\pi$
$241$	−0.204631	+	1.94693i	−0.0131814	+	0.125413i	0.985952	+	0.167027i	$0.0534167\pi$
$242$	2.55858	+	48.8206i	0.164472	+	3.13831i
$243$	15.5686	+	0.786176i	0.998727	+	0.0504332i
$244$	−20.3442	+	6.61022i	−1.30240	+	0.423176i
$245$	−10.2011	−	11.8717i	−0.651722	−	0.758458i
$246$	−25.0243	−	39.3987i	−1.59549	−	2.51197i
$247$	−0.110497	+	2.10842i	−0.00703078	+	0.134155i
$248$	−10.6332	−	27.7005i	−0.675212	−	1.75899i
$249$	−6.33438	−	1.06890i	−0.401425	−	0.0677386i
$250$	25.2443	−	10.7032i	1.59659	−	0.676930i
$251$			24.1266i			1.52286i	0.648247	+	0.761430i	$0.275503\pi$
$251$			24.1266i			1.52286i	−0.648247	+	0.761430i	$0.724497\pi$
$252$	−30.2800	−	9.92623i	−1.90746	−	0.625294i
$253$	−2.60836	−	5.11920i	−0.163986	−	0.321842i
$254$	10.7371	+	11.9247i	0.673704	+	0.748224i
$255$	2.75492	+	14.0672i	0.172520	+	0.880923i
$256$	−21.4873	+	23.8640i	−1.34295	+	1.49150i
$257$	2.95856	+	11.0415i	0.184550	+	0.688749i	0.994726	+	0.102563i	$0.0327044\pi$
$257$	2.95856	+	11.0415i	0.184550	+	0.688749i	−0.810177	+	0.586186i	$0.800629\pi$
$258$	−11.8930	−	27.4543i	−0.740424	−	1.70923i
$259$	17.2919	−	1.21112i	1.07447	−	0.0752554i
$260$	−25.1127	+	5.18172i	−1.55742	+	0.321357i
$261$	0.885872	+	2.92609i	0.0548341	+	0.181120i
$262$	30.3645	−	24.5887i	1.87593	−	1.51910i
$263$	12.4716	−	10.0993i	0.769029	−	0.622748i	−0.162377	−	0.986729i	$-0.551916\pi$
$263$	12.4716	−	10.0993i	0.769029	−	0.622748i	0.931406	+	0.363981i	$0.118583\pi$
$264$	26.3253	−	39.6555i	1.62021	−	2.44063i
$265$	−13.4433	+	14.7526i	−0.825814	+	0.906245i
$266$	−2.10202	+	4.31101i	−0.128883	+	0.264325i
$267$	18.8593	−	8.16967i	1.15417	−	0.499976i
$268$	7.18105	+	26.8001i	0.438653	+	1.63707i
$269$	15.3599	−	17.0589i	0.936511	−	1.04010i	−0.0626042	−	0.998038i	$-0.519941\pi$
$269$	15.3599	−	17.0589i	0.936511	−	1.04010i	0.999115	−	0.0420621i	$-0.0133927\pi$
$270$	28.4285	−	1.95013i	1.73010	−	0.118681i
$271$	7.34798	+	8.16076i	0.446358	+	0.495731i	0.923770	−	0.382949i	$-0.125091\pi$
$271$	7.34798	+	8.16076i	0.446358	+	0.495731i	−0.477411	+	0.878680i	$0.658425\pi$
$272$	−6.86944	−	13.4820i	−0.416521	−	0.817468i
$273$	−10.2337	−	8.16119i	−0.619371	−	0.493938i
$274$		−	55.5797i		−	3.35769i
$275$	−18.8528	+	20.4431i	−1.13687	+	1.23276i
$276$	−1.19523	+	7.08302i	−0.0719442	+	0.426348i
$277$	−4.13914	−	10.7828i	−0.248697	−	0.647878i	0.751229	−	0.660042i	$-0.229461\pi$
$277$	−4.13914	−	10.7828i	−0.248697	−	0.647878i	−0.999926	+	0.0121637i	$0.996128\pi$
$278$	1.16720	−	22.2714i	0.0700037	−	1.33575i
$279$	−2.24432	+	17.8752i	−0.134364	+	1.07016i
$280$	−28.6610	−	5.74515i	−1.71282	−	0.343338i
$281$	−5.00362	+	1.62578i	−0.298491	+	0.0969857i	−0.454434	−	0.890780i	$-0.650158\pi$
$281$	−5.00362	+	1.62578i	−0.298491	+	0.0969857i	0.155943	+	0.987766i	$0.450158\pi$
$282$	−15.9051	+	34.7747i	−0.947135	+	2.07081i
$283$	0.377478	+	7.20271i	0.0224387	+	0.428157i	0.986633	+	0.162959i	$0.0521039\pi$
$283$	0.377478	+	7.20271i	0.0224387	+	0.428157i	−0.964194	+	0.265198i	$0.914563\pi$
$284$	−2.84358	+	27.0548i	−0.168735	+	1.60541i
$285$	0.195681	−	2.85607i	0.0115911	−	0.169179i
$286$	31.5205	−	22.9010i	1.86384	−	1.35416i
$287$	5.54378	−	28.5374i	0.327239	−	1.68451i
$288$	−0.407741	+	0.147147i	−0.0240264	+	0.00867072i
$289$	3.28351	−	0.345110i	0.193147	−	0.0203006i
$290$	2.24263	+	5.11886i	0.131692	+	0.300590i
$291$	17.9377	+	18.3034i	1.05153	+	1.07297i
$292$	−24.1752	−	37.2266i	−1.41475	−	2.17852i
$293$	10.1595	+	10.1595i	0.593523	+	0.593523i	0.938581	−	0.345058i	$-0.112141\pi$
$293$	10.1595	+	10.1595i	0.593523	+	0.593523i	−0.345058	+	0.938581i	$0.612141\pi$
$294$	−14.1584	−	26.1476i	−0.825736	−	1.52496i
$295$	7.52542	+	2.06455i	0.438147	+	0.120203i
$296$	24.0570	−	21.6610i	1.39829	−	1.25902i
$297$	−25.4541	+	13.6859i	−1.47700	+	0.794135i
$298$	−13.6826	+	5.25227i	−0.792614	+	0.304256i
$299$	−1.47532	+	2.55533i	−0.0853199	+	0.147778i
$300$	34.1592	−	6.47870i	1.97218	−	0.374048i
$301$	6.37171	−	17.5122i	0.367259	−	1.00939i
$302$	−4.02458	+	25.4102i	−0.231589	+	1.46219i
$303$	2.35904	+	2.16759i	0.135523	+	0.124525i
$304$	0.628288	+	2.95586i	0.0360348	+	0.169530i
$305$	11.8940	+	0.694403i	0.681051	+	0.0397614i
$306$	−0.549533	+	27.2254i	−0.0314147	+	1.55637i
$307$	−5.06469	−	5.06469i	−0.289057	−	0.289057i	0.547650	−	0.836707i	$-0.315522\pi$
$307$	−5.06469	−	5.06469i	−0.289057	−	0.289057i	−0.836707	+	0.547650i	$0.815522\pi$
$308$	57.5612	−	13.2958i	3.27985	−	0.757601i
$309$	2.08321	+	8.10074i	0.118510	+	0.460835i
$310$	−0.196153	+	32.9313i	−0.0111407	+	1.87037i
$311$	1.64725	−	3.69977i	0.0934067	−	0.209795i	−0.860800	−	0.508944i	$-0.830036\pi$
$311$	1.64725	−	3.69977i	0.0934067	−	0.209795i	0.954206	+	0.299149i	$0.0967027\pi$
$312$	−24.4434	−	0.246665i	−1.38383	−	0.0139646i
$313$	−3.18283	+	8.29157i	−0.179904	+	0.468667i	−0.993645	−	0.112561i	$-0.964094\pi$
$313$	−3.18283	+	8.29157i	−0.179904	+	0.468667i	0.813740	+	0.581229i	$0.197428\pi$
$314$	7.31082	−	5.31162i	0.412573	−	0.299752i
$315$	13.6967	+	11.2872i	0.771723	+	0.635959i
$316$	27.5079	+	19.9857i	1.54744	+	1.12428i
$317$	9.37856	−	6.09051i	0.526752	−	0.342077i	−0.253709	−	0.967280i	$-0.581651\pi$
$317$	9.37856	−	6.09051i	0.526752	−	0.342077i	0.780462	+	0.625203i	$0.214984\pi$
$318$	−30.8978	+	21.9757i	−1.73267	+	1.23234i
$319$	−4.21212	−	3.79261i	−0.235833	−	0.212345i
$320$	15.6315	−	7.84774i	0.873829	−	0.438702i
$321$	−21.7132	+	13.7912i	−1.21191	+	0.769751i
$322$	−5.35268	+	4.03447i	−0.298293	+	0.224832i
$323$	2.70206	+	0.427964i	0.150347	+	0.0238126i
$324$	35.7525	+	5.22379i	1.98625	+	0.290211i
$325$	14.0783	+	2.40204i	0.780924	+	0.133241i
$326$	2.14495	−	1.23839i	0.118798	−	0.0685879i
$327$	−2.99881	−	14.8433i	−0.165835	−	0.820834i
$328$	−24.6472	−	48.3728i	−1.36091	−	2.67094i
$329$	−22.0821	+	8.92462i	−1.21742	+	0.492030i
$330$	−43.2320	+	30.3621i	−2.37984	+	1.67138i
$331$	−18.0539	−	3.83748i	−0.992334	−	0.210927i	−0.316989	−	0.948429i	$-0.602672\pi$
$331$	−18.0539	−	3.83748i	−0.992334	−	0.210927i	−0.675345	+	0.737502i	$0.736005\pi$
$332$	−14.3825	−	3.85378i	−0.789343	−	0.211504i
$333$	−19.0843	+	4.70298i	−1.04581	+	0.257722i
$334$	6.81964	+	15.3172i	0.373154	+	0.838118i
$335$	1.70684	−	15.3589i	0.0932548	−	0.839148i
$336$	−17.1716	−	7.49199i	−0.936786	−	0.408721i
$337$	−0.824628	−	5.20650i	−0.0449204	−	0.283616i	0.954995	−	0.296622i	$-0.0958601\pi$
$337$	−0.824628	−	5.20650i	−0.0449204	−	0.283616i	−0.999915	+	0.0130057i	$0.995860\pi$
$338$	11.0845	+	4.25494i	0.602917	+	0.231438i
$339$	0.450741	−	0.223964i	0.0244809	−	0.0121640i
$340$	3.27612	+	33.0635i	0.177673	+	1.79312i
$341$	−13.5849	−	30.5122i	−0.735663	−	1.65233i
$342$	1.51327	−	5.22357i	0.0818284	−	0.282458i
$343$	4.78737	−	17.8908i	0.258494	−	0.966013i
$344$	−10.7543	−	33.0984i	−0.579834	−	1.78454i
$345$	2.05575	−	3.43227i	0.110678	−	0.184787i
$346$	48.0514	−	10.2136i	2.58326	−	0.549088i
$347$	12.1188	−	18.6614i	0.650574	−	1.00180i	−0.347372	−	0.937728i	$-0.612926\pi$
$347$	12.1188	−	18.6614i	0.650574	−	1.00180i	0.997946	−	0.0640684i	$-0.0204076\pi$
$348$	1.40331	+	6.94598i	0.0752253	+	0.372343i
$349$			12.8498i			0.687832i	0.939000	+	0.343916i	$0.111754\pi$
$349$			12.8498i			0.687832i	−0.939000	+	0.343916i	$0.888246\pi$
$350$	27.3087	+	17.5158i	1.45971	+	0.936259i
$351$	13.0143	+	7.13533i	0.694654	+	0.380856i
$352$	0.505751	−	0.624551i	0.0269566	−	0.0332887i
$353$	22.0830	+	14.3409i	1.17536	+	0.763287i	0.976241	−	0.216688i	$-0.0695256\pi$
$353$	22.0830	+	14.3409i	1.17536	+	0.763287i	0.199118	+	0.979975i	$0.436192\pi$
$354$	13.1398	+	6.86297i	0.698374	+	0.364763i
$355$	6.95907	−	13.4592i	0.369349	−	0.714338i
$356$	45.3071	−	14.7212i	2.40127	−	0.780220i
$357$	−11.9031	+	12.0824i	−0.629977	+	0.639466i
$358$	−13.0049	−	6.62632i	−0.687330	−	0.350212i
$359$	−24.7562	+	11.0222i	−1.30658	+	0.581727i	−0.937602	−	0.347711i	$-0.886959\pi$
$359$	−24.7562	+	11.0222i	−1.30658	+	0.581727i	−0.368979	+	0.929438i	$0.620293\pi$
$360$	33.1336	+	0.866251i	1.74630	+	0.0456554i
$361$	16.8582	+	7.50577i	0.887276	+	0.395041i
$362$	10.8219	−	28.1921i	0.568788	−	1.48174i
$363$	17.5641	−	29.7251i	0.921877	−	1.56017i
$364$	−21.8269	−	21.0733i	−1.14404	−	1.10454i
$365$	4.99601	+	24.2127i	0.261503	+	1.26735i
$366$	21.8020	+	6.07827i	1.13961	+	0.317716i
$367$	9.90154	−	0.518917i	0.516856	−	0.0270873i	0.207875	−	0.978155i	$-0.433345\pi$
$367$	9.90154	−	0.518917i	0.516856	−	0.0270873i	0.308981	+	0.951068i	$0.400012\pi$
$368$	−1.09305	+	4.07932i	−0.0569791	+	0.212649i
$369$	−0.665215	+	32.9566i	−0.0346297	+	1.71565i
$370$	−33.6189	+	12.6759i	−1.74777	+	0.658987i
$371$	−23.3863	−	3.28406i	−1.21416	−	0.170500i
$372$	−9.09363	+	40.7555i	−0.471483	+	2.11307i
$373$	−29.3356	−	23.7555i	−1.51894	−	1.23001i	−0.892926	−	0.450204i	$-0.851351\pi$
$373$	−29.3356	−	23.7555i	−1.51894	−	1.23001i	−0.626016	−	0.779810i	$-0.715316\pi$
$374$	−25.2423	−	43.7209i	−1.30525	−	2.26075i
$375$	−19.0343	−	3.56286i	−0.982929	−	0.183986i
$376$	−22.2395	+	38.5200i	−1.14692	+	1.98652i
$377$	−0.455358	+	2.87502i	−0.0234522	+	0.148071i
$378$	20.8836	+	26.4698i	1.07413	+	1.36146i
$379$	7.14525	+	2.32163i	0.367027	+	0.119254i	0.486723	−	0.873556i	$-0.338192\pi$
$379$	7.14525	+	2.32163i	0.367027	+	0.119254i	−0.119696	+	0.992811i	$0.538192\pi$
$380$	1.07704	−	6.54754i	0.0552512	−	0.335882i
$381$	−1.65977	−	11.2104i	−0.0850327	−	0.574326i
$382$	7.13388	−	26.6240i	0.365001	−	1.36220i
$383$	−3.25511	−	5.01244i	−0.166329	−	0.256124i	0.745671	−	0.666314i	$-0.232129\pi$
$383$	−3.25511	−	5.01244i	−0.166329	−	0.256124i	−0.912000	+	0.410190i	$0.865462\pi$
$384$	32.6649	−	8.40020i	1.66693	−	0.428671i
$385$	−32.5567	−	4.76972i	−1.65924	−	0.243088i
$386$	−4.83696	−	6.65751i	−0.246195	−	0.338858i
$387$	−3.72604	+	20.7994i	−0.189405	+	1.05729i
$388$	37.3827	+	46.1638i	1.89782	+	2.34361i
$389$	−3.85652	−	1.71703i	−0.195533	−	0.0870570i	0.306634	−	0.951827i	$-0.400797\pi$
$389$	−3.85652	−	1.71703i	−0.195533	−	0.0870570i	−0.502167	+	0.864770i	$0.667464\pi$
$390$	25.1695	+	10.1280i	1.27451	+	0.512852i
$391$	3.09312	+	2.24728i	0.156426	+	0.113650i
$392$	−13.5213	−	31.8342i	−0.682926	−	1.60787i
$393$	−27.4708	+	2.60732i	−1.38572	+	0.131522i
$394$	1.90141	−	8.94541i	0.0957915	−	0.450663i
$395$	−10.2196	−	15.9439i	−0.514204	−	0.802225i
$396$	−61.7328	+	26.0055i	−3.10219	+	1.30682i
$397$	0.195808	−	3.73624i	0.00982733	−	0.187517i	−0.989305	−	0.145863i	$-0.953404\pi$
$397$	0.195808	−	3.73624i	0.00982733	−	0.187517i	0.999132	−	0.0416536i	$-0.0132626\pi$
$398$	36.4596	+	5.77464i	1.82756	+	0.289457i
$399$	2.92072	−	1.71551i	0.146219	−	0.0858831i
$400$	20.3534	−	1.89438i	1.01767	−	0.0947189i
$401$	13.6966	+	7.90775i	0.683976	+	0.394894i	0.801352	−	0.598194i	$-0.204115\pi$
$401$	13.6966	+	7.90775i	0.683976	+	0.394894i	−0.117375	+	0.993088i	$0.537448\pi$
$402$	9.35301	−	27.8270i	0.466486	−	1.38788i
$403$	−9.34213	+	14.3856i	−0.465364	+	0.716598i
$404$	4.96877	+	5.51838i	0.247205	+	0.274549i
$405$	−17.4889	−	9.95686i	−0.869030	−	0.494760i
$406$	−3.50345	+	5.60810i	−0.173873	+	0.278325i
$407$	25.7667	−	25.7667i	1.27721	−	1.27721i
$408$	−3.62856	+	31.4658i	−0.179641	+	1.55779i
$409$	−20.7180	−	2.17755i	−1.02444	−	0.107673i	−0.422621	−	0.906307i	$-0.638890\pi$
$409$	−20.7180	−	2.17755i	−1.02444	−	0.107673i	−0.601817	+	0.798634i	$0.705556\pi$
$410$	5.94142	+	59.9624i	0.293426	+	2.96133i
$411$	−21.7097	+	32.7028i	−1.07086	+	1.61311i
$412$	3.03286	+	19.1487i	0.149418	+	0.943390i
$413$	3.00702	+	8.72983i	0.147966	+	0.429567i
$414$	5.19855	−	5.54435i	0.255495	−	0.272490i
$415$	6.68023	+	4.91453i	0.327920	+	0.241245i
$416$	−0.410463	−	0.0431414i	−0.0201246	−	0.00211518i
$417$	−9.38610	+	12.6485i	−0.459639	+	0.619398i
$418$	2.60952	+	9.73885i	0.127636	+	0.476343i
$419$	6.90861	+	21.2625i	0.337508	+	1.03874i	0.965474	+	0.260501i	$0.0838876\pi$
$419$	6.90861	+	21.2625i	0.337508	+	1.03874i	−0.627966	+	0.778241i	$0.716112\pi$
$420$	29.1332	+	29.0449i	1.42156	+	1.41725i
$421$	10.3726	−	31.9235i	0.505528	−	1.55585i	−0.294354	−	0.955696i	$-0.595105\pi$
$421$	10.3726	−	31.9235i	0.505528	−	1.55585i	0.799882	−	0.600158i	$-0.204895\pi$
$422$	37.6136	+	1.97125i	1.83100	+	0.0959588i
$423$	22.9417	−	14.2486i	1.11546	−	0.692793i
$424$	−38.1940	+	22.0513i	−1.85487	+	1.07091i
$425$	5.00222	−	17.8168i	0.242643	−	0.864241i
$426$	18.3390	−	22.1852i	0.888526	−	1.07488i
$427$	7.26194	+	12.0828i	0.351430	+	0.584729i
$428$	−53.1237	+	27.0679i	−2.56783	+	1.30838i
$429$	−27.4917	+	1.16274i	−1.32731	+	0.0561375i
$430$	−2.25125	+	38.5604i	−0.108565	+	1.85955i
$431$	−12.0846	−	10.8810i	−0.582096	−	0.524121i	0.324630	−	0.945841i	$-0.394760\pi$
$431$	−12.0846	−	10.8810i	−0.582096	−	0.524121i	−0.906726	+	0.421719i	$0.861427\pi$
$432$	20.6358	+	5.04364i	0.992842	+	0.242662i
$433$	3.12434	+	1.59193i	0.150146	+	0.0765033i	0.527449	−	0.849587i	$-0.323148\pi$
$433$	3.12434	+	1.59193i	0.150146	+	0.0765033i	−0.377303	+	0.926090i	$0.623148\pi$
$434$	−32.3014	+	21.7929i	−1.55052	+	1.04609i
$435$	0.679905	−	3.88789i	0.0325989	−	0.186410i
$436$	−3.66894	−	34.9077i	−0.175710	−	1.67177i
$437$	−0.480525	−	0.593399i	−0.0229866	−	0.0283861i
$438$	−0.473916	+	46.9630i	−0.0226446	+	2.24398i
$439$	41.2631	−	4.33692i	1.96938	−	0.206990i	0.970027	−	0.242999i	$-0.0781311\pi$
$439$	41.2631	−	4.33692i	1.96938	−	0.206990i	0.999351	+	0.0360089i	$0.0114645\pi$
$440$	−53.3983	+	30.4069i	−2.54566	+	1.44959i
$441$	−1.88265	+	20.9154i	−0.0896499	+	0.995973i
$442$	−11.7706	+	23.1011i	−0.559871	+	1.09881i
$443$	−23.8796	+	6.39853i	−1.13456	+	0.304003i	−0.776760	−	0.629797i	$-0.783138\pi$
$443$	−23.8796	+	6.39853i	−1.13456	+	0.304003i	−0.357795	+	0.933800i	$0.616472\pi$
$444$	−45.0671	+	6.67248i	−2.13879	+	0.316662i
$445$	−26.4884	−	1.54646i	−1.25567	−	0.0733091i
$446$	−7.54234	+	6.79116i	−0.357140	+	0.321571i
$447$	10.1023	+	2.25410i	0.477825	+	0.106615i
$448$	18.1018	+	10.0314i	0.855231	+	0.473937i
$449$	26.2260			1.23768			0.618840	−	0.785517i	$-0.287603\pi$
$449$	26.2260			1.23768			0.618840	+	0.785517i	$0.287603\pi$
$450$	−33.9031	−	14.2786i	−1.59821	−	0.673102i
$451$	−30.5560	−	52.9246i	−1.43883	−	2.49212i
$452$	1.08914	−	0.418080i	0.0512287	−	0.0196648i
$453$	12.2934	−	13.3792i	0.577595	−	0.628610i
$454$	29.3992	+	9.55238i	1.37977	+	0.448316i
$455$	7.05195	+	15.3566i	0.330600	+	0.719930i
$456$	2.32642	−	5.88242i	0.108945	−	0.275470i
$457$	32.1383	−	8.61142i	1.50336	−	0.402825i	0.589139	−	0.808032i	$-0.299467\pi$
$457$	32.1383	−	8.61142i	1.50336	−	0.402825i	0.914225	+	0.405207i	$0.132800\pi$
$458$	44.3446	−	2.32400i	2.07209	−	0.108593i
$459$	10.9577	−	15.8046i	0.511462	−	0.737696i
$460$	5.49537	−	7.46975i	0.256223	−	0.348279i
$461$	8.63044	+	11.8788i	0.401960	+	0.553250i	0.961234	−	0.275732i	$-0.0889203\pi$
$461$	8.63044	+	11.8788i	0.401960	+	0.553250i	−0.559275	+	0.828982i	$0.688920\pi$
$462$	−58.5217	−	21.9639i	−2.72268	−	1.02185i
$463$	16.1754	−	2.56193i	0.751733	−	0.119063i	0.231202	−	0.972906i	$-0.425734\pi$
$463$	16.1754	−	2.56193i	0.751733	−	0.119063i	0.520531	+	0.853843i	$0.325734\pi$
$464$	0.435495	+	4.14346i	0.0202174	+	0.192355i
$465$	12.9785	−	19.3000i	0.601866	−	0.895014i
$466$	−1.50764	+	14.3443i	−0.0698402	+	0.664485i
$467$	−12.6162	+	8.19303i	−0.583806	+	0.379128i	−0.802488	−	0.596668i	$-0.796491\pi$
$467$	−12.6162	+	8.19303i	−0.583806	+	0.379128i	0.218682	+	0.975796i	$0.429824\pi$
$468$	28.4679	+	19.3151i	1.31593	+	0.892840i
$469$	16.1436	−	8.58601i	0.745441	−	0.396465i
$470$	38.5497	−	30.8385i	1.77816	−	1.42248i
$471$	−6.37639	+	0.269684i	−0.293808	+	0.0124264i
$472$	14.4613	+	9.39125i	0.665633	+	0.432267i
$473$	−14.0390	−	36.5728i	−0.645513	−	1.68162i
$474$	−12.5532	−	33.7151i	−0.576586	−	1.54859i
$475$	−1.88590	+	3.17843i	−0.0865312	+	0.145836i
$476$	−30.1126	+	25.2732i	−1.38021	+	1.15839i
$477$	26.7639	−	0.861508i	1.22544	−	0.0394457i
$478$	62.1223	+	3.25569i	2.84141	+	0.148912i
$479$	11.4439	−	2.43248i	0.522886	−	0.111143i	0.0610956	−	0.998132i	$-0.480541\pi$
$479$	11.4439	−	2.43248i	0.522886	−	0.111143i	0.461790	+	0.886989i	$0.347207\pi$
$480$	0.555544	+	0.0674195i	0.0253570	+	0.00307727i
$481$	−18.3051	−	3.89088i	−0.834642	−	0.177409i
$482$	3.39491	−	3.39491i	0.154634	−	0.154634i
$483$	4.72537	−	0.283078i	0.215012	−	0.0128805i
$484$	47.0394	−	64.7441i	2.13815	−	2.94292i
$485$	−10.0363	−	31.5262i	−0.455724	−	1.43153i
$486$	−28.4594	−	25.5270i	−1.29095	−	1.15793i
$487$	20.2134	−	16.3685i	0.915955	−	0.741726i	−0.0504564	−	0.998726i	$-0.516068\pi$
$487$	20.2134	−	16.3685i	0.915955	−	0.741726i	0.966411	+	0.257001i	$0.0827343\pi$
$488$	24.5780	+	9.43460i	1.11259	+	0.427084i
$489$	−1.74579	−	0.109168i	−0.0789476	−	0.00493676i
$490$	1.11979	+	38.3711i	0.0505868	+	1.73343i
$491$	13.8386	−	19.0472i	0.624528	−	0.859589i	−0.373145	−	0.927773i	$-0.621721\pi$
$491$	13.8386	−	19.0472i	0.624528	−	0.859589i	0.997673	+	0.0681844i	$0.0217206\pi$
$492$	−8.75282	+	75.9017i	−0.394608	+	3.42191i
$493$	3.64324	+	0.976204i	0.164083	+	0.0439660i
$494$	3.46473	−	3.84797i	0.155885	−	0.173128i
$495$	37.2970	−	0.978215i	1.67638	−	0.0439675i
$496$	−7.58660	+	23.3492i	−0.340648	+	1.04841i
$497$	17.7940	−	2.18686i	0.798170	−	0.0980939i
$498$	10.4232	+	11.8137i	0.467075	+	0.529385i
$499$	23.8108	+	13.7472i	1.06592	+	0.615409i	0.927064	−	0.374904i	$-0.122324\pi$
$499$	23.8108	+	13.7472i	1.06592	+	0.615409i	0.138856	+	0.990313i	$0.455658\pi$
$500$	−43.1415	−	12.3900i	−1.92935	−	0.554100i
$501$	1.97032	−	11.6763i	0.0880276	−	0.521659i
$502$	37.2370	−	45.9839i	1.66197	−	2.05236i
$503$	5.57949	−	2.84289i	0.248777	−	0.126758i	−0.325156	−	0.945660i	$-0.605417\pi$
$503$	5.57949	−	2.84289i	0.248777	−	0.126758i	0.573933	+	0.818902i	$0.305417\pi$
$504$	21.2733	+	32.9465i	0.947590	+	1.46755i
$505$	−1.45916	−	3.86998i	−0.0649316	−	0.172212i
$506$	−2.92959	+	13.7826i	−0.130236	+	0.612713i
$507$	−4.86005	−	6.83324i	−0.215843	−	0.303475i
$508$	−1.37474	−	26.2315i	−0.0609941	−	1.16384i
$509$	−10.8881	+	4.84768i	−0.482605	+	0.214870i	−0.633594	−	0.773666i	$-0.718421\pi$
$509$	−10.8881	+	4.84768i	−0.482605	+	0.214870i	0.150989	+	0.988535i	$0.451754\pi$
$510$	16.4606	−	31.0632i	0.728888	−	1.37550i
$511$	−20.3180	+	21.0446i	−0.898816	+	0.930960i
$512$	39.3191	−	6.22753i	1.73767	−	0.275221i
$513$	−2.93075	+	2.48243i	−0.129396	+	0.109602i
$514$	11.4026	−	25.6106i	0.502946	−	1.12964i
$515$	2.30796	−	10.5488i	0.101701	−	0.464834i
$516$	−13.1532	+	47.1787i	−0.579035	+	2.07693i
$517$	−22.7305	+	44.6111i	−0.999686	+	1.96199i
$518$	−34.8266	−	24.3800i	−1.53019	−	1.07120i
$519$	−32.2626	−	12.7595i	−1.41617	−	0.560078i
$520$	28.0324	+	14.4942i	1.22930	+	0.635613i
$521$	−1.41281	−	6.64674i	−0.0618963	−	0.291199i	0.936302	−	0.351195i	$-0.114225\pi$
$521$	−1.41281	−	6.64674i	−0.0618963	−	0.291199i	−0.998199	+	0.0599960i	$0.980891\pi$
$522$	2.82770	−	6.94420i	0.123765	−	0.303939i
$523$	−4.39667	−	3.56036i	−0.192253	−	0.155683i	0.528361	−	0.849020i	$-0.322807\pi$
$523$	−4.39667	−	3.56036i	−0.192253	−	0.155683i	−0.720614	+	0.693336i	$0.756140\pi$
$524$	−63.9600			−2.79410
$525$	−9.22652	−	20.9731i	−0.402678	−	0.915342i
$526$	−39.3572			−1.71606
$527$	17.2728	+	13.9872i	0.752415	+	0.609294i
$528$	−37.5771	+	11.7917i	−1.63533	+	0.513167i
$529$	4.56010	+	21.4536i	0.198265	+	0.932765i
$530$	48.3912	−	7.36922i	2.10198	−	0.320098i
$531$	−5.05069	−	9.17062i	−0.219181	−	0.397971i
$532$	7.11529	−	3.31889i	0.308487	−	0.143892i
$533$	−14.2484	+	27.9642i	−0.617169	+	1.21126i
$534$	−48.5537	−	13.5365i	−2.10112	−	0.585781i
$535$	33.0461	−	3.27440i	1.42871	−	0.141565i
$536$	13.8888	−	31.1948i	0.599907	−	1.34741i
$537$	5.06373	+	8.97867i	0.218516	+	0.387458i
$538$	−55.6037	+	8.80677i	−2.39725	+	0.379687i
$539$	−17.0749	−	34.9887i	−0.735467	−	1.50707i
$540$	−38.1750	−	26.8057i	−1.64279	−	1.15354i
$541$	9.19223	−	4.09265i	0.395205	−	0.175957i	−0.199505	−	0.979897i	$-0.563933\pi$
$541$	9.19223	−	4.09265i	0.395205	−	0.175957i	0.594710	+	0.803940i	$0.297267\pi$
$542$	−1.40950	−	26.8948i	−0.0605430	−	1.15523i
$543$	−17.3795	+	12.3610i	−0.745827	+	0.530460i
$544$	−0.111189	+	0.523103i	−0.00476719	+	0.0224279i
$545$	−5.17223	+	18.8531i	−0.221554	+	0.807579i
$546$	6.90882	+	31.3494i	0.295670	+	1.34163i
$547$	−16.4756	+	8.39474i	−0.704446	+	0.358933i	−0.769235	−	0.638966i	$-0.779363\pi$
$547$	−16.4756	+	8.39474i	−0.704446	+	0.358933i	0.0647891	+	0.997899i	$0.479363\pi$
$548$	−57.2575	+	70.7071i	−2.44592	+	3.02046i
$549$	−10.4540	−	12.0924i	−0.446164	−	0.516090i
$550$	67.4841	−	9.86585i	2.87753	−	0.420681i
$551$	−0.652349	−	0.376634i	−0.0277910	−	0.0160452i
$552$	6.62912	−	5.84884i	0.282154	−	0.248943i
$553$	8.75309	−	20.6274i	0.372219	−	0.877168i
$554$	−8.75326	+	26.9398i	−0.371890	+	1.14456i
$555$	24.7324	+	5.67332i	1.04983	+	0.240819i
$556$	−24.4286	+	27.1307i	−1.03600	+	1.15060i
$557$	−24.4413	−	6.54903i	−1.03561	−	0.277491i	−0.299318	−	0.954154i	$-0.596759\pi$
$557$	−24.4413	−	6.54903i	−1.03561	−	0.277491i	−0.736293	+	0.676662i	$0.763426\pi$
$558$	31.8660	−	30.6051i	1.34900	−	1.29562i
$559$	−11.8255	+	16.2764i	−0.500165	+	0.688418i
$560$	15.4383	+	18.6185i	0.652385	+	0.786775i
$561$	−2.22520	+	35.5849i	−0.0939479	+	1.50240i
$562$	12.0458	+	4.62395i	0.508122	+	0.195050i
$563$	−14.0083	+	11.3437i	−0.590379	+	0.478080i	−0.877344	−	0.479861i	$-0.840687\pi$
$563$	−14.0083	+	11.3437i	−0.590379	+	0.478080i	0.286965	+	0.957941i	$0.407354\pi$
$564$	56.0586	−	27.8543i	2.36049	−	1.17288i
$565$	−0.649767	−	0.00387029i	−0.0273359	−	0.000162824i
$566$	10.3972	−	14.3105i	0.437027	−	0.601516i
$567$	−1.94852	−	23.7319i	−0.0818301	−	0.996646i
$568$	23.6742	−	23.6742i	0.993349	−	0.993349i
$569$	27.2516	+	5.79250i	1.14244	+	0.242834i	0.739998	−	0.672609i	$-0.234826\pi$
$569$	27.2516	+	5.79250i	1.14244	+	0.242834i	0.402447	+	0.915443i	$0.368160\pi$
$570$	−4.78101	+	5.14148i	−0.200254	+	0.215353i
$571$	−37.6433	+	8.00134i	−1.57532	+	0.334845i	−0.910938	−	0.412544i	$-0.864640\pi$
$571$	−37.6433	+	8.00134i	−1.57532	+	0.334845i	−0.664386	+	0.747389i	$0.731307\pi$
$572$	−63.6918	−	3.33795i	−2.66309	−	0.139567i
$573$	−14.5970	+	12.8789i	−0.609798	+	0.538023i
$574$	−54.6107	+	45.8342i	−2.27940	+	1.91308i
$575$	−4.36498	+	2.76128i	−0.182032	+	0.115153i
$576$	−22.1671	−	7.70046i	−0.923629	−	0.320852i
$577$	7.57971	+	19.7458i	0.315547	+	0.822029i	0.996010	+	0.0892459i	$0.0284457\pi$
$577$	7.57971	+	19.7458i	0.315547	+	0.822029i	−0.680462	+	0.732783i	$0.738221\pi$
$578$	−6.79080	−	4.41000i	−0.282460	−	0.183432i
$579$	0.245584	+	5.80658i	0.0102061	+	0.241313i
$580$	2.42037	−	8.82241i	0.100500	−	0.366331i
$581$	−0.341358	+	9.80678i	−0.0141619	+	0.406854i
$582$	−5.93868	−	62.5702i	−0.246166	−	2.59362i
$583$	−41.6354	+	27.0383i	−1.72436	+	1.11981i
$584$	−5.71028	+	54.3297i	−0.236293	+	2.24818i
$585$	−10.8536	−	15.7906i	−0.448740	−	0.652862i
$586$	−3.68321	−	35.0434i	−0.152152	−	1.44763i
$587$	30.5677	−	4.84145i	1.26167	−	0.199828i	0.510463	−	0.859900i	$-0.329474\pi$
$587$	30.5677	−	4.84145i	1.26167	−	0.199828i	0.751203	+	0.660072i	$0.229474\pi$
$588$	−8.92492	+	47.8501i	−0.368057	+	1.97331i
$589$	−2.60906	−	3.59106i	−0.107504	−	0.147967i
$590$	−11.1566	−	15.5496i	−0.459308	−	0.640168i
$591$	−4.61290	+	4.52073i	−0.189749	+	0.185958i
$592$	−26.7486	+	1.40183i	−1.09936	+	0.0576150i
$593$	19.3467	−	5.18393i	0.794473	−	0.212879i	0.161317	−	0.986903i	$-0.448426\pi$
$593$	19.3467	−	5.18393i	0.794473	−	0.212879i	0.633156	+	0.774024i	$0.281759\pi$
$594$	69.6367	+	13.2014i	2.85723	+	0.541661i
$595$	20.7446	−	7.00760i	0.850445	−	0.287284i
$596$	22.8175	+	7.41387i	0.934643	+	0.303684i
$597$	−19.1970	−	17.6391i	−0.785683	−	0.721920i
$598$	6.75575	−	2.59329i	0.276263	−	0.106047i
$599$	15.1334	+	26.2117i	0.618332	+	1.07098i	0.989790	+	0.142533i	$0.0455247\pi$
$599$	15.1334	+	26.2117i	0.618332	+	1.07098i	−0.371458	+	0.928450i	$0.621142\pi$
$600$	−37.6895	−	20.2604i	−1.53867	−	0.827126i
$601$	11.9079			0.485732			0.242866	−	0.970060i	$-0.421912\pi$
$601$	11.9079			0.485732			0.242866	+	0.970060i	$0.421912\pi$
$602$	−39.1724	+	23.5432i	−1.59655	+	0.959547i
$603$	−16.3726	+	12.7199i	−0.666745	+	0.517994i
$604$	31.2973	−	28.1802i	1.27347	−	1.14664i
$605$	−37.5265	+	24.0534i	−1.52567	+	0.977910i
$606$	−1.15073	−	7.77223i	−0.0467452	−	0.315725i
$607$	−45.8158	+	12.2763i	−1.85960	+	0.498280i	−0.999921	−	0.0125471i	$-0.996006\pi$
$607$	−45.8158	+	12.2763i	−1.85960	+	0.498280i	−0.859684	+	0.510827i	$0.829339\pi$
$608$	0.0484881	−	0.0951632i	0.00196645	−	0.00385938i
$609$	4.25196	−	1.93131i	0.172298	−	0.0782604i
$610$	−21.5976	−	19.6807i	−0.874460	−	0.796849i
$611$	25.5724	−	2.68776i	1.03455	−	0.108735i
$612$	28.7463	−	34.0693i	1.16200	−	1.37717i
$613$	−17.7038	−	21.8624i	−0.715050	−	0.883014i	0.282027	−	0.959406i	$-0.408993\pi$
$613$	−17.7038	−	21.8624i	−0.715050	−	0.883014i	−0.997078	+	0.0763926i	$0.975660\pi$
$614$	1.83615	+	17.4698i	0.0741010	+	0.705024i
$615$	19.9257	−	37.6023i	0.803482	−	1.51627i
$616$	−65.3524	−	31.8654i	−2.63312	−	1.28389i
$617$	−38.0877	−	19.4067i	−1.53335	−	0.781282i	−0.535361	−	0.844623i	$-0.679824\pi$
$617$	−38.0877	−	19.4067i	−1.53335	−	0.781282i	−0.997992	+	0.0633409i	$0.979824\pi$
$618$	8.53220	−	18.6547i	0.343216	−	0.750403i
$619$	−1.04613	−	0.941944i	−0.0420477	−	0.0378599i	0.647839	−	0.761777i	$-0.275673\pi$
$619$	−1.04613	−	0.941944i	−0.0420477	−	0.0378599i	−0.689887	+	0.723917i	$0.742340\pi$
$620$	34.1749	−	41.6923i	1.37250	−	1.67440i
$621$	−5.22445	+	1.23169i	−0.209650	+	0.0494259i
$622$	−8.84977	+	4.50918i	−0.354844	+	0.180802i
$623$	−16.1726	−	26.9088i	−0.647940	−	1.07808i
$624$	15.5894	+	12.8866i	0.624074	+	0.515879i
$625$	19.8696	+	15.1723i	0.794784	+	0.606892i
$626$	18.8635	−	10.8908i	0.753936	−	0.435285i
$627$	2.26862	−	6.74957i	0.0905999	−	0.269552i
$628$	−14.7726	−	0.774199i	−0.589491	−	0.0308939i
$629$	−7.49332	+	23.0621i	−0.298778	+	0.919545i
$630$	−8.68451	−	42.6521i	−0.345999	−	1.69930i
$631$	0.931340	+	2.86637i	0.0370760	+	0.114108i	0.967882	−	0.251406i	$-0.0808930\pi$
$631$	0.931340	+	2.86637i	0.0370760	+	0.114108i	−0.930806	+	0.365515i	$0.880893\pi$
$632$	−10.8307	−	40.4208i	−0.430822	−	1.60785i
$633$	−21.3617	−	15.8519i	−0.849050	−	0.630058i
$634$	−27.2750	−	2.86672i	−1.08323	−	0.113852i
$635$	−4.60382	+	13.8871i	−0.182697	+	0.551092i
$636$	61.9465	+	3.87365i	2.45634	+	0.153600i
$637$	−10.2941	+	17.1409i	−0.407865	+	0.679147i
$638$	2.17453	+	13.7294i	0.0860905	+	0.543554i
$639$	−19.4562	+	5.89036i	−0.769675	+	0.233019i
$640$	−42.5362	−	9.30649i	−1.68139	−	0.367871i
$641$	−45.5422	−	4.78668i	−1.79881	−	0.189063i	−0.854795	−	0.518965i	$-0.826317\pi$
$641$	−45.5422	−	4.78668i	−1.79881	−	0.189063i	−0.944015	+	0.329902i	$0.892984\pi$
$642$	62.6694	+	7.22689i	2.47336	+	0.285223i
$643$	−19.4451	+	19.4451i	−0.766842	+	0.766842i	−0.977549	−	0.210707i	$-0.932423\pi$
$643$	−19.4451	+	19.4451i	−0.766842	+	0.766842i	0.210707	+	0.977549i	$0.432423\pi$
$644$	10.9658	+	0.381702i	0.432113	+	0.0150412i
$645$	16.3865	−	21.8094i	0.645218	−	0.858742i
$646$	−4.48944	−	4.98603i	−0.176635	−	0.196173i
$647$	−15.5490	+	23.9434i	−0.611294	+	0.941311i	0.388508	+	0.921445i	$0.372990\pi$
$647$	−15.5490	+	23.9434i	−0.611294	+	0.941311i	−0.999803	+	0.0198654i	$0.993676\pi$
$648$	−30.1496	−	32.6873i	−1.18439	−	1.28408i
$649$	16.8094	+	9.70489i	0.659825	+	0.380950i
$650$	−23.1251	−	26.3066i	−0.907040	−	1.03183i
$651$	27.5184	−	0.205694i	1.07853	−	0.00806180i
$652$	−4.00452	−	0.634253i	−0.156829	−	0.0248393i
$653$	1.19428	−	22.7882i	0.0467358	−	0.891772i	−0.870190	−	0.492716i	$-0.836004\pi$
$653$	1.19428	−	22.7882i	0.0467358	−	0.891772i	0.916926	−	0.399057i	$-0.130662\pi$
$654$	−17.1935	+	32.9187i	−0.672319	+	1.28722i
$655$	33.1813	+	12.9644i	1.29650	+	0.506560i
$656$	−9.33958	+	43.9393i	−0.364649	+	1.71554i
$657$	18.6228	−	27.4477i	0.726546	−	1.07084i
$658$	55.8613	+	17.0717i	2.17770	+	0.665523i
$659$	25.8177	+	18.7577i	1.00572	+	0.730695i	0.963306	−	0.268405i	$-0.0864966\pi$
$659$	25.8177	+	18.7577i	1.00572	+	0.730695i	0.0424094	+	0.999100i	$0.486497\pi$
$660$	86.2773	+	5.91121i	3.35834	+	0.230093i
$661$	1.45892	+	0.649552i	0.0567453	+	0.0252646i	0.434913	−	0.900472i	$-0.356779\pi$
$661$	1.45892	+	0.649552i	0.0567453	+	0.0252646i	−0.378168	+	0.925737i	$0.623446\pi$
$662$	28.4869	+	35.1784i	1.10718	+	1.36725i
$663$	15.9492	−	8.99492i	0.619415	−	0.349334i
$664$	10.7714	+	14.8255i	0.418010	+	0.575341i
$665$	−4.36400	+	0.279543i	−0.169229	+	0.0108402i
$666$	43.6320	+	20.4911i	1.69071	+	0.794013i
$667$	−0.573353	−	0.882887i	−0.0222003	−	0.0341855i
$668$	7.10377	−	26.5116i	0.274853	−	1.02577i
$669$	7.09053	−	1.04980i	0.274136	−	0.0405876i
$670$	−26.9581	+	26.6388i	−1.04148	+	1.02915i
$671$	28.1843	+	9.15763i	1.08804	+	0.353526i
$672$	0.305012	+	0.587718i	0.0117661	+	0.0226717i
$673$	3.17179	−	20.0259i	0.122263	−	0.771941i	−0.848019	−	0.529966i	$-0.822205\pi$
$673$	3.17179	−	20.0259i	0.122263	−	0.771941i	0.970282	−	0.241975i	$-0.0777952\pi$
$674$	−6.46401	+	11.1960i	−0.248984	+	0.431254i
$675$	14.3711	+	21.6442i	0.553144	+	0.833086i
$676$	−9.71804	−	16.8321i	−0.373771	−	0.647390i
$677$	9.36610	+	7.58452i	0.359969	+	0.291497i	0.792195	−	0.610268i	$-0.208938\pi$
$677$	9.36610	+	7.58452i	0.359969	+	0.291497i	−0.432226	+	0.901765i	$0.642272\pi$
$678$	−1.20475	−	0.268811i	−0.0462681	−	0.0103236i
$679$	24.0978	−	30.8509i	0.924788	−	1.18395i
$680$	22.4749	−	34.1611i	0.861873	−	1.31002i
$681$	−13.5671	−	17.1040i	−0.519893	−	0.655429i
$682$	−21.2005	+	79.1212i	−0.811807	+	3.02971i
$683$	31.3888	−	1.64502i	1.20106	−	0.0629448i	0.558713	−	0.829361i	$-0.311295\pi$
$683$	31.3888	−	1.64502i	1.20106	−	0.0629448i	0.642345	+	0.766416i	$0.277962\pi$
$684$	−7.30641	+	5.08635i	−0.279367	+	0.194481i
$685$	44.0361	−	25.0757i	1.68253	−	0.958095i
$686$	−36.7371	+	26.7100i	−1.40263	+	1.01979i
$687$	−26.9999	−	15.9538i	−1.03011	−	0.608675i
$688$	−10.3195	+	26.8832i	−0.393426	+	1.02491i
$689$	23.2914	+	10.3700i	0.887331	+	0.395065i
$690$	−9.21550	+	3.36885i	−0.350828	+	0.128250i
$691$	16.3948	−	7.29944i	0.623688	−	0.277684i	−0.0704618	−	0.997514i	$-0.522447\pi$
$691$	16.3948	−	7.29944i	0.623688	−	0.277684i	0.694150	+	0.719831i	$0.255781\pi$
$692$	−71.6517	−	36.5084i	−2.72379	−	1.38784i
$693$	25.8546	+	35.7823i	0.982136	+	1.35926i
$694$	−51.8997	+	16.8632i	−1.97009	+	0.640120i
$695$	18.1724	−	9.12335i	0.689317	−	0.346069i
$696$	4.03760	−	7.73039i	0.153045	−	0.293020i
$697$	34.1064	+	22.1489i	1.29187	+	0.838951i
$698$	19.8323	−	24.4909i	0.750664	−	0.926993i
$699$	6.49003	−	7.85118i	0.245475	−	0.296959i
$700$	−16.6969	−	50.4162i	−0.631083	−	1.90555i
$701$		−	42.1065i		−	1.59034i	−0.606386	−	0.795170i	$-0.707381\pi$
$701$		−	42.1065i		−	1.59034i	0.606386	−	0.795170i	$-0.292619\pi$
$702$	−13.7919	−	33.6858i	−0.520540	−	1.27139i
$703$	2.63758	−	4.06152i	0.0994783	−	0.153183i
$704$	42.5548	−	9.04531i	1.60385	−	0.340908i
$705$	−34.7281	+	3.08752i	−1.30794	+	0.116283i
$706$	−19.9551	−	61.4156i	−0.751022	−	2.31141i
$707$	2.80646	−	4.00899i	0.105548	−	0.150774i
$708$	−9.64603	−	22.2674i	−0.362520	−	0.836860i
$709$	−7.41208	−	16.6478i	−0.278367	−	0.625222i	0.719210	−	0.694792i	$-0.244504\pi$
$709$	−7.41208	−	16.6478i	−0.278367	−	0.625222i	−0.997577	+	0.0695707i	$0.977837\pi$
$710$	−34.0364	+	14.9117i	−1.27736	+	0.559626i
$711$	−5.78309	+	24.7411i	−0.216883	+	0.927864i
$712$	−54.7359	−	21.0111i	−2.05132	−	0.787426i
$713$	−0.970425	−	6.12702i	−0.0363427	−	0.229459i
$714$	41.3344	−	4.65705i	1.54690	−	0.174286i
$715$	32.3656	+	14.6417i	1.21040	+	0.547568i
$716$	9.71815	+	21.8273i	0.363184	+	0.815725i
$717$	−35.2807	−	26.1809i	−1.31758	−	0.977745i
$718$	64.1953	+	17.2011i	2.39575	+	0.641938i
$719$	−11.8176	−	2.51191i	−0.440722	−	0.0936783i	−0.0177939	−	0.999842i	$-0.505664\pi$
$719$	−11.8176	−	2.51191i	−0.440722	−	0.0936783i	−0.422928	+	0.906163i	$0.638998\pi$
$720$	−20.8548	−	17.8102i	−0.777214	−	0.663747i
$721$	11.8458	−	4.78757i	0.441161	−	0.178298i
$722$	−20.5464	−	40.3245i	−0.764656	−	1.50072i
$723$	−3.32361	+	0.671476i	−0.123606	+	0.0249724i
$724$	−42.8105	+	24.7167i	−1.59104	+	0.918588i
$725$	−3.04390	+	4.08631i	−0.113048	+	0.151762i
$726$	−79.3538	+	29.5458i	−2.94510	+	1.09655i
$727$	15.2148	+	2.40980i	0.564288	+	0.0893744i	0.432060	−	0.901845i	$-0.357787\pi$
$727$	15.2148	+	2.40980i	0.564288	+	0.0893744i	0.132228	+	0.991219i	$0.457787\pi$
$728$	4.55474	+	37.0609i	0.168810	+	1.37357i
$729$	6.77440	+	26.1363i	0.250904	+	0.968012i
$730$	27.8477	−	53.8587i	1.03069	−	1.99340i
$731$	19.3730	+	17.4436i	0.716537	+	0.645173i
$732$	−21.4742	−	30.1927i	−0.793709	−	1.11596i
$733$	−24.8008	+	16.1058i	−0.916037	+	0.594881i	−0.914265	−	0.405117i	$-0.867231\pi$
$733$	−24.8008	+	16.1058i	−0.916037	+	0.594881i	−0.00177215	+	0.999998i	$0.500564\pi$
$734$	−19.6726	−	14.2930i	−0.726129	−	0.527564i
$735$	14.3291	−	23.0147i	0.528536	−	0.848911i
$736$	0.120756	−	0.0877346i	0.00445113	−	0.00323394i
$737$	13.7749	−	35.8848i	0.507405	−	1.32183i
$738$	52.1330	−	61.7865i	1.91904	−	2.27439i
$739$	−8.07499	+	18.1367i	−0.297043	+	0.667170i	−0.998984	−	0.0450652i	$-0.985650\pi$
$739$	−8.07499	+	18.1367i	−0.297043	+	0.667170i	0.701941	+	0.712235i	$0.252317\pi$
$740$	55.8277	+	18.5079i	2.05227	+	0.680363i
$741$	−3.54166	+	0.910782i	−0.130106	+	0.0334584i
$742$	39.5043	+	42.3536i	1.45025	+	1.55485i
$743$	13.1252	+	13.1252i	0.481516	+	0.481516i	0.905616	−	0.424100i	$-0.139409\pi$
$743$	13.1252	+	13.1252i	0.481516	+	0.481516i	−0.424100	+	0.905616i	$0.639409\pi$
$744$	40.2636	−	31.9375i	1.47613	−	1.17089i
$745$	−10.3346	−	8.47118i	−0.378629	−	0.310360i
$746$	19.2477	+	90.5531i	0.704707	+	3.31538i
$747$	−1.51845	−	11.0225i	−0.0555572	−	0.403291i
$748$	−12.9281	+	81.6249i	−0.472699	+	2.98450i
$749$	25.2599	+	30.0967i	0.922977	+	1.09971i
$750$	30.7793	+	36.1682i	1.12390	+	1.32067i
$751$	−21.0513	+	36.4619i	−0.768172	+	1.33051i	0.170381	+	0.985378i	$0.445500\pi$
$751$	−21.0513	+	36.4619i	−0.768172	+	1.33051i	−0.938553	+	0.345135i	$0.887833\pi$
$752$	34.3586	−	13.1890i	1.25293	−	0.480955i
$753$	−39.8716	+	12.5117i	−1.45300	+	0.455951i
$754$	5.30519	−	4.77681i	0.193203	−	0.173961i
$755$	−21.9484	+	8.27556i	−0.798785	+	0.301178i
$756$	0.701324	−	55.1882i	0.0255069	−	2.00718i
$757$	18.9965	+	18.9965i	0.690438	+	0.690438i	0.962328	−	0.271890i	$-0.0876488\pi$
$757$	18.9965	+	18.9965i	0.690438	+	0.690438i	−0.271890	+	0.962328i	$0.587649\pi$
$758$	−10.0352	−	15.4529i	−0.364495	−	0.561273i
$759$	7.10732	−	6.96531i	0.257979	−	0.252825i
$760$	−6.10134	+	5.42822i	−0.221319	+	0.196902i
$761$	11.5684	−	1.21589i	0.419355	−	0.0440760i	0.107499	−	0.994205i	$-0.465716\pi$
$761$	11.5684	−	1.21589i	0.419355	−	0.0440760i	0.311856	+	0.950129i	$0.399049\pi$
$762$	−14.1387	+	23.9280i	−0.512190	+	0.866820i
$763$	−21.8705	+	7.53335i	−0.791764	+	0.272726i
$764$	−36.5032	+	26.5212i	−1.32064	+	0.959502i
$765$	−21.8188	+	11.8478i	−0.788859	+	0.428358i
$766$	−1.53214	+	14.5773i	−0.0553584	+	0.526700i
$767$	−0.521693	−	9.95450i	−0.0188372	−	0.359436i
$768$	−50.5805	−	23.1343i	−1.82517	−	0.834785i
$769$	24.0279	−	7.80712i	0.866467	−	0.281532i	0.158140	−	0.987417i	$-0.449450\pi$
$769$	24.0279	−	7.80712i	0.866467	−	0.281532i	0.708327	+	0.705885i	$0.249450\pi$
$770$	54.6894	+	59.3387i	1.97087	+	2.13842i
$771$	−16.7128	+	10.6152i	−0.601898	+	0.382298i
$772$	−0.705015	+	13.4525i	−0.0253741	+	0.484166i
$773$	11.1165	+	28.9594i	0.399832	+	1.04160i	0.974733	+	0.223374i	$0.0717072\pi$
$773$	11.1165	+	28.9594i	0.399832	+	1.04160i	−0.574901	+	0.818223i	$0.694959\pi$
$774$	39.2034	−	33.8916i	1.40914	−	1.21821i
$775$	−26.1801	+	14.7021i	−0.940419	+	0.528115i
$776$		−	73.1071i		−	2.62439i
$777$	10.9688	+	27.9485i	0.393504	+	1.00265i
$778$	4.70022	+	9.22470i	0.168511	+	0.330721i
$779$	−5.43451	−	6.03563i	−0.194712	−	0.216249i
$780$	−21.5863	−	38.8140i	−0.772914	−	1.38976i
$781$	25.2179	−	28.0073i	0.902366	−	1.00218i
$782$	−2.42684	−	9.05710i	−0.0867837	−	0.323881i
$783$	−4.37624	+	2.98141i	−0.156394	+	0.106547i
$784$	−7.88198	+	27.5110i	−0.281499	+	0.982537i
$785$	7.50683	+	3.39597i	0.267930	+	0.121208i
$786$	56.3817	+	37.4290i	2.01107	+	1.33505i
$787$	−16.2758	+	13.1799i	−0.580170	+	0.469812i	−0.873920	−	0.486070i	$-0.838430\pi$
$787$	−16.2758	+	13.1799i	−0.580170	+	0.469812i	0.293750	+	0.955882i	$0.405097\pi$
$788$	−11.6344	+	9.42133i	−0.414457	+	0.335621i
$789$	23.1575	+	15.3731i	0.824431	+	0.547298i
$790$	−5.12988	+	46.1610i	−0.182513	+	1.64233i
$791$	−0.429995	−	0.637339i	−0.0152889	−	0.0226612i
$792$	79.1863	+	22.9403i	2.81376	+	0.815149i
$793$	−3.93905	−	14.7007i	−0.139880	−	0.522038i
$794$	−6.13971	+	6.81884i	−0.217890	+	0.241991i
$795$	−31.3516	−	14.5658i	−1.11192	−	0.516597i
$796$	−40.4341	−	44.9066i	−1.43315	−	1.59167i
$797$	−11.6066	−	22.7792i	−0.411127	−	0.806881i	0.588873	−	0.808226i	$-0.299572\pi$
$797$	−11.6066	−	22.7792i	−0.411127	−	0.806881i	−0.999999	+	0.00134457i	$0.999572\pi$
$798$	−8.21443	−	1.23817i	−0.290788	−	0.0438308i
$799$		−	33.3181i		−	1.17871i
$800$	−0.601181	−	0.400674i	−0.0212550	−	0.0141659i
$801$	23.2813	+	26.9301i	0.822603	+	0.951528i
$802$	−13.9001	−	36.2110i	−0.490830	−	1.27865i
$803$	−3.21832	+	61.4092i	−0.113572	+	2.16708i
$804$	−40.5657	+	25.7654i	−1.43064	+	0.908677i
$805$	−5.61149	−	2.42074i	−0.197779	−	0.0853197i
$806$	40.0082	−	12.9995i	1.40923	−	0.457887i
$807$	36.1569	+	16.5373i	1.27278	+	0.582139i
$808$	−0.478298	−	9.12647i	−0.0168265	−	0.321068i
$809$	2.67701	−	25.4700i	0.0941186	−	0.895478i	−0.840974	−	0.541075i	$-0.818017\pi$
$809$	2.67701	−	25.4700i	0.0941186	−	0.895478i	0.935093	−	0.354403i	$-0.115316\pi$
$810$	17.9653	+	45.9695i	0.631237	+	1.61520i
$811$	−23.4649	+	17.0482i	−0.823963	+	0.598644i	−0.917845	−	0.396939i	$-0.870072\pi$
$811$	−23.4649	+	17.0482i	−0.823963	+	0.598644i	0.0938821	+	0.995583i	$0.470072\pi$
$812$	10.2344	−	3.52527i	0.359157	−	0.123713i
$813$	−9.67589	+	16.3753i	−0.339348	+	0.574306i
$814$	−88.8781	+	9.34147i	−3.11518	+	0.327418i
$815$	1.94891	+	1.14074i	0.0682673	+	0.0399582i
$816$	18.7180	−	18.3440i	0.655260	−	0.642167i
$817$	−2.83555	−	4.36637i	−0.0992035	−	0.152760i
$818$	36.1263	+	36.1263i	1.26313	+	1.26313i
$819$	8.18012	−	21.1444i	0.285836	−	0.738846i
$820$	54.2139	−	82.4034i	1.89323	−	2.87765i
$821$	2.68369	−	2.41640i	0.0936614	−	0.0843331i	−0.620970	−	0.783834i	$-0.713261\pi$
$821$	2.68369	−	2.41640i	0.0936614	−	0.0843331i	0.714631	+	0.699501i	$0.246594\pi$
$822$	91.8508	−	28.8227i	3.20366	−	1.00531i
$823$	−30.5965	+	11.7449i	−1.06653	+	0.409402i	−0.827415	−	0.561590i	$-0.810190\pi$
$823$	−30.5965	+	11.7449i	−1.06653	+	0.409402i	−0.239112	+	0.970992i	$0.576856\pi$
$824$	11.9303	−	20.6639i	0.415611	−	0.719860i
$825$	−43.5609	−	20.5546i	−1.51660	−	0.715620i
$826$	7.74241	−	21.2795i	0.269393	−	0.740409i
$827$	1.88911	−	11.9274i	0.0656907	−	0.414755i	−0.932827	−	0.360325i	$-0.882666\pi$
$827$	1.88911	−	11.9274i	0.0656907	−	0.414755i	0.998518	−	0.0544301i	$-0.0173342\pi$
$828$	−12.3252	+	1.69791i	−0.428330	+	0.0590065i
$829$	−9.68824	−	45.5796i	−0.336487	−	1.58304i	−0.742930	−	0.669369i	$-0.766565\pi$
$829$	−9.68824	−	45.5796i	−0.336487	−	1.58304i	0.406444	−	0.913676i	$-0.366769\pi$
$830$	−5.14703	−	19.6771i	−0.178656	−	0.683001i
$831$	15.6732	−	12.4321i	0.543696	−	0.431266i
$832$	−15.7988	−	15.7988i	−0.547724	−	0.547724i
$833$	20.6945	+	15.5871i	0.717022	+	0.540063i
$834$	37.4109	−	9.62069i	1.29543	−	0.333137i
$835$	−9.05908	+	12.3138i	−0.313502	+	0.426138i
$836$	6.71307	−	15.0778i	0.232176	−	0.521477i
$837$	−30.7043	+	5.56082i	−1.06130	+	0.192210i
$838$	19.6491	−	51.1877i	0.678768	−	1.76825i
$839$	28.2547	−	20.5283i	0.975461	−	0.708714i	0.0187714	−	0.999824i	$-0.494025\pi$
$839$	28.2547	−	20.5283i	0.975461	−	0.708714i	0.956690	+	0.291110i	$0.0940245\pi$
$840$	−5.36869	−	50.3443i	−0.185238	−	1.73704i
$841$	22.6213	+	16.4353i	0.780045	+	0.566736i
$842$	−69.0400	+	44.8351i	−2.37928	+	1.54512i
$843$	−5.28155	−	7.42586i	−0.181906	−	0.255760i
$844$	−45.8204	−	41.2568i	−1.57720	−	1.42012i
$845$	1.62975	+	10.7020i	0.0560650	+	0.368160i
$846$	−65.7167	−	8.25107i	−2.25939	−	0.283678i
$847$	−48.5499	−	20.6018i	−1.66819	−	0.707885i
$848$	36.0423	+	5.70854i	1.23770	+	0.196032i
$849$	−11.7074	+	4.35903i	−0.401797	+	0.149601i
$850$	−37.0323	+	26.2373i	−1.27020	+	0.899931i
$851$	5.86127	−	3.38401i	0.200922	−	0.116002i
$852$	−46.1853	+	9.33091i	−1.58228	+	0.319672i
$853$	−3.66502	−	7.19301i	−0.125488	−	0.246284i	0.819712	−	0.572776i	$-0.194133\pi$
$853$	−3.66502	−	7.19301i	−0.125488	−	0.246284i	−0.945200	+	0.326492i	$0.894133\pi$
$854$	4.80780	−	34.2372i	0.164520	−	1.17157i
$855$	4.82141	−	1.15773i	0.164889	−	0.0395935i
$856$	71.7749	+	15.2562i	2.45322	+	0.521447i
$857$	7.80609	+	2.09163i	0.266651	+	0.0714489i	0.389667	−	0.920956i	$-0.372590\pi$
$857$	7.80609	+	2.09163i	0.266651	+	0.0714489i	−0.123016	+	0.992405i	$0.539257\pi$
$858$	54.1920	+	40.2145i	1.85009	+	1.37290i
$859$	6.82010	+	15.3182i	0.232699	+	0.522650i	0.991720	−	0.128415i	$-0.0409890\pi$
$859$	6.82010	+	15.3182i	0.232699	+	0.522650i	−0.759022	+	0.651065i	$0.774322\pi$
$860$	42.5884	−	46.7364i	1.45225	−	1.59370i
$861$	50.0357	−	5.63740i	1.70521	−	0.192122i
$862$	6.23876	+	39.3900i	0.212493	+	1.34163i
$863$	−11.2847	−	4.33179i	−0.384135	−	0.147456i	0.158634	−	0.987337i	$-0.449291\pi$
$863$	−11.2847	−	4.33179i	−0.384135	−	0.147456i	−0.542770	+	0.839882i	$0.682624\pi$
$864$	−0.454622	−	0.597523i	−0.0154666	−	0.0203281i
$865$	29.7715	+	33.4633i	1.01226	+	1.13779i
$866$	−3.49781	−	7.85622i	−0.118861	−	0.266965i
$867$	2.27310	+	5.24734i	0.0771985	+	0.178209i
$868$	63.5438	+	5.55217i	2.15682	+	0.188453i
$869$	−14.5562	−	44.7995i	−0.493787	−	1.51972i
$870$	−7.29641	+	6.36071i	−0.247372	+	0.215648i
$871$	−19.3089	+	4.10423i	−0.654257	+	0.139067i
$872$	−23.5275	+	36.2292i	−0.796742	+	1.22687i
$873$	−20.9460	+	39.1356i	−0.708913	+	1.32454i
$874$			1.87262i			0.0633424i
$875$	−1.55708	+	29.5394i	−0.0526391	+	0.998614i
$876$	48.9836	−	59.2570i	1.65500	−	2.00211i
$877$	10.8225	−	13.3646i	0.365449	−	0.451292i	−0.560942	−	0.827855i	$-0.689561\pi$
$877$	10.8225	−	13.3646i	0.365449	−	0.451292i	0.926391	+	0.376563i	$0.122894\pi$
$878$	−85.3384	−	55.4194i	−2.88003	−	1.87031i
$879$	−11.5210	+	22.0580i	−0.388592	+	0.743999i
$880$	50.1700	+	8.25277i	1.69123	+	0.278201i
$881$	−45.8681	+	14.9034i	−1.54533	+	0.502110i	−0.952842	−	0.303467i	$-0.901856\pi$
$881$	−45.8681	+	14.9034i	−1.54533	+	0.502110i	−0.592492	+	0.805576i	$0.701856\pi$
$882$	35.8691	−	36.9578i	1.20777	−	1.24444i
$883$	20.0137	+	10.1975i	0.673515	+	0.343173i	0.757073	−	0.653330i	$-0.226629\pi$
$883$	20.0137	+	10.1975i	0.673515	+	0.343173i	−0.0835584	+	0.996503i	$0.526629\pi$
$884$	38.7728	−	17.2628i	1.30407	−	0.580610i
$885$	0.490694	+	13.5071i	0.0164945	+	0.454037i
$886$	55.3886	+	24.6606i	1.86082	+	0.828488i
$887$	−3.00139	+	7.81888i	−0.100777	+	0.262532i	−0.974694	−	0.223542i	$-0.928238\pi$
$887$	−3.00139	+	7.81888i	−0.100777	+	0.262532i	0.873918	+	0.486074i	$0.161571\pi$
$888$	48.2725	+	28.5234i	1.61992	+	0.957184i
$889$	−16.6397	+	4.77338i	−0.558078	+	0.160094i
$890$	48.0984	+	43.8296i	1.61226	+	1.46917i
$891$	−35.8173	−	34.9681i	−1.19992	−	1.17148i
$892$	16.5913	−	0.869515i	0.555519	−	0.0291135i
$893$	−1.72219	+	6.42730i	−0.0576309	+	0.215081i
$894$	−15.7755	−	19.8881i	−0.527611	−	0.665158i
$895$	−0.617305	−	13.2934i	−0.0206342	−	0.444350i
$896$	−19.3051	−	47.7663i	−0.644938	−	1.59576i
$897$	−4.98800	−	1.11295i	−0.166544	−	0.0371604i
$898$	−49.9851	−	40.4771i	−1.66802	−	1.35074i
$899$	−3.05988	−	5.29987i	−0.102053	−	0.176761i
$900$	28.4210	+	53.0915i	0.947368	+	1.76972i
$901$	16.5180	−	28.6101i	0.550296	−	0.953140i
$902$	−23.4458	+	148.031i	−0.780660	+	4.92889i
$903$	32.2449	+	1.44829i	1.07304	+	0.0481962i
$904$	−1.36552	−	0.443684i	−0.0454165	−	0.0147567i
$905$	27.2193	−	4.14507i	0.904799	−	0.137787i
$906$	−44.0799	+	6.52632i	−1.46446	+	0.216822i
$907$	7.82657	−	29.2091i	0.259877	−	0.969874i	−0.705435	−	0.708774i	$-0.749248\pi$
$907$	7.82657	−	29.2091i	0.259877	−	0.969874i	0.965312	−	0.261099i	$-0.0840850\pi$
$908$	−27.5602	−	42.4390i	−0.914618	−	1.40839i
$909$	−2.35879	+	5.02261i	−0.0782361	+	0.166590i
$910$	10.2608	−	40.1527i	0.340143	−	1.33105i
$911$	12.7894	+	17.6031i	0.423733	+	0.583218i	0.966500	−	0.256665i	$-0.0826237\pi$
$911$	12.7894	+	17.6031i	0.423733	+	0.583218i	−0.542768	+	0.839883i	$0.682624\pi$
$912$	−4.55902	+	2.57117i	−0.150964	+	0.0851398i
$913$	12.9816	+	16.0310i	0.429630	+	0.530548i
$914$	−74.5444	−	33.1893i	−2.46571	−	1.09780i
$915$	5.02049	+	20.0161i	0.165972	+	0.661713i
$916$	−58.8082	−	42.7267i	−1.94308	−	1.41173i
$917$	9.48650	+	41.0695i	0.313272	+	1.35623i
$918$	−45.2775	+	13.2105i	−1.49438	+	0.436011i
$919$	−1.76116	+	8.28560i	−0.0580953	+	0.273317i	−0.997602	−	0.0692142i	$-0.977951\pi$
$919$	−1.76116	+	8.28560i	−0.0580953	+	0.273317i	0.939507	+	0.342531i	$0.111284\pi$
$920$	−11.0415	+	2.88819i	−0.364028	+	0.0952208i
$921$	5.74341	−	10.9963i	0.189252	−	0.362342i
$922$	1.88461	−	35.9604i	0.0620662	−	1.18429i
$923$	−19.1166	−	3.02778i	−0.629232	−	0.0996605i
$924$	51.8229	+	88.2303i	1.70485	+	2.90256i
$925$	−25.2109	−	20.9175i	−0.828930	−	0.687765i
$926$	−34.7833	−	20.0822i	−1.14305	−	0.659941i
$927$	−12.3069	+	7.64361i	−0.404213	+	0.251049i
$928$	0.0801985	−	0.123495i	0.00263264	−	0.00405392i
$929$	−23.9602	−	26.6105i	−0.786108	−	0.873062i	0.208365	−	0.978051i	$-0.433186\pi$
$929$	−23.9602	−	26.6105i	−0.786108	−	0.873062i	−0.994473	+	0.104990i	$0.966519\pi$
$930$	−54.5238	+	16.7535i	−1.78791	+	0.549368i
$931$	−3.18643	−	4.07656i	−0.104431	−	0.133604i
$932$	16.6953	−	16.6953i	0.546871	−	0.546871i
$933$	6.96846	+	0.803588i	0.228137	+	0.0263083i
$934$	36.6907	+	3.85635i	1.20056	+	0.126184i
$935$	23.2518	−	39.7250i	0.760416	−	1.29915i
$936$	−12.2683	−	40.5229i	−0.401002	−	1.32453i
$937$	−0.434078	−	2.74066i	−0.0141807	−	0.0895334i	0.979583	−	0.201040i	$-0.0644323\pi$
$937$	−0.434078	−	2.74066i	−0.0141807	−	0.0895334i	−0.993764	+	0.111507i	$0.964432\pi$
$938$	−44.0203	−	8.55154i	−1.43731	−	0.279218i
$939$	−15.3532	−	0.960066i	−0.501032	−	0.0313306i
$940$	−80.8114	−	0.481348i	−2.63578	−	0.0156998i
$941$	24.8180	+	2.60848i	0.809043	+	0.0850339i	0.500013	−	0.866018i	$-0.333329\pi$
$941$	24.8180	+	2.60848i	0.809043	+	0.0850339i	0.309031	+	0.951052i	$0.399995\pi$
$942$	12.5692	+	9.32730i	0.409528	+	0.303900i
$943$	−2.93772	−	10.9637i	−0.0956652	−	0.357027i
$944$	−4.40885	−	13.5690i	−0.143496	−	0.441634i
$945$	−11.5502	+	28.4885i	−0.375728	+	0.926730i
$946$	−29.6890	+	91.3732i	−0.965271	+	2.97080i
$947$	−28.0683	−	1.47100i	−0.912098	−	0.0478010i	−0.409489	−	0.912315i	$-0.634293\pi$
$947$	−28.0683	−	1.47100i	−0.912098	−	0.0478010i	−0.502609	+	0.864514i	$0.667626\pi$
$948$	−18.7631	+	55.8237i	−0.609396	+	1.81307i
$949$	27.3498	−	15.7904i	0.887811	−	0.512578i
$950$	8.50000	−	3.14719i	0.275776	−	0.102108i
$951$	14.9287	+	12.3405i	0.484097	+	0.400169i
$952$	48.3758	−	0.849836i	1.56787	−	0.0275434i
$953$	34.2625	−	17.4576i	1.10987	−	0.565507i	0.199748	−	0.979847i	$-0.435988\pi$
$953$	34.2625	−	17.4576i	1.10987	−	0.565507i	0.910122	+	0.414340i	$0.135988\pi$
$954$	−52.3400	−	39.6654i	−1.69457	−	1.28422i
$955$	24.3129	−	6.35966i	0.786747	−	0.205794i
$956$	−75.6765	−	68.1394i	−2.44755	−	2.20379i
$957$	4.08331	−	8.92771i	0.131995	−	0.288592i
$958$	−25.5657	−	13.0264i	−0.825990	−	0.420863i
$959$	53.8943	+	26.2785i	1.74034	+	0.848578i
$960$	21.0754	+	21.7629i	0.680205	+	0.702394i
$961$	−0.529132	−	5.03435i	−0.0170688	−	0.162398i
$962$	28.8833	+	35.6679i	0.931234	+	1.14998i
$963$	−34.0514	−	28.7312i	−1.09729	−	0.925851i
$964$	−7.81630	+	0.821527i	−0.251746	+	0.0264596i
$965$	3.09250	−	6.83600i	0.0995512	−	0.220059i
$966$	−9.44317	−	6.75360i	−0.303829	−	0.217293i
$967$	2.73652	−	5.37073i	0.0880007	−	0.172711i	−0.842812	−	0.538209i	$-0.819101\pi$
$967$	2.73652	−	5.37073i	0.0880007	−	0.172711i	0.930812	+	0.365498i	$0.119101\pi$
$968$	−95.1366	+	25.4918i	−3.05780	+	0.819336i
$969$	0.693993	+	4.68735i	0.0222943	+	0.150579i
$970$	−29.5290	+	75.5769i	−0.948118	+	2.42663i
$971$	−2.59635	+	2.33777i	−0.0833210	+	0.0750226i	−0.709739	−	0.704465i	$-0.751187\pi$
$971$	−2.59635	+	2.33777i	−0.0833210	+	0.0750226i	0.626418	+	0.779487i	$0.284520\pi$
$972$	9.90783	+	61.7933i	0.317794	+	1.98202i
$973$	21.0442	+	11.6619i	0.674646	+	0.373864i
$974$	−63.7884			−2.04391
$975$	3.33119	+	24.5114i	0.106683	+	0.784993i
$976$	−10.8916	−	18.8648i	−0.348632	−	0.603849i
$977$	11.6805	−	4.48372i	0.373692	−	0.143447i	−0.164271	−	0.986415i	$-0.552527\pi$
$977$	11.6805	−	4.48372i	0.373692	−	0.143447i	0.537963	+	0.842968i	$0.319194\pi$
$978$	3.15889	+	2.90252i	0.101010	+	0.0928125i
$979$	−62.7673	−	20.3943i	−2.00605	−	0.651805i
$980$	38.1049	−	49.9684i	1.21721	−	1.59618i
$981$	22.9748	−	12.6533i	0.733528	−	0.403989i
$982$	−55.7729	+	14.9443i	−1.77979	+	0.476892i
$983$	39.5033	−	2.07028i	1.25996	−	0.0660317i	0.589372	−	0.807862i	$-0.299375\pi$
$983$	39.5033	−	2.07028i	1.25996	−	0.0660317i	0.670588	+	0.741830i	$0.266042\pi$
$984$	67.1591	−	65.8172i	2.14095	−	2.09817i
$985$	7.94536	−	2.52938i	0.253160	−	0.0805928i
$986$	−5.43712	−	7.48356i	−0.173153	−	0.238325i
$987$	−26.2002	−	31.8646i	−0.833961	−	1.01426i
$988$	−8.37186	+	1.32597i	−0.266344	+	0.0421848i
$989$	−0.760550	−	7.23615i	−0.0241841	−	0.230096i
$990$	−72.5956	−	55.6998i	−2.30724	−	1.77025i
$991$	1.29675	−	12.3378i	0.0411926	−	0.391922i	−0.954428	−	0.298440i	$-0.903534\pi$
$991$	1.29675	−	12.3378i	0.0411926	−	0.391922i	0.995621	−	0.0934816i	$-0.0297996\pi$
$992$	0.727721	−	0.472587i	0.0231052	−	0.0150047i
$993$	−3.02067	−	31.8259i	−0.0958580	−	1.00996i
$994$	−37.2894	−	23.2952i	−1.18275	−	0.738879i
$995$	11.8741	+	31.4925i	0.376435	+	0.998380i
$996$	−1.08979	−	25.7670i	−0.0345314	−	0.816458i
$997$	8.29545	+	5.38713i	0.262720	+	0.170612i	0.669277	−	0.743013i	$-0.266604\pi$
$997$	8.29545	+	5.38713i	0.262720	+	0.170612i	−0.406557	+	0.913625i	$0.633271\pi$
$998$	−24.1646	−	62.9509i	−0.764916	−	1.99268i
$999$	−17.6689	−	29.0997i	−0.559020	−	0.920675i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	525.2.bs.a.2.6	✓	1216
3.2	odd	2	inner	525.2.bs.a.2.71	yes	1216
7.4	even	3	inner	525.2.bs.a.452.71	yes	1216
21.11	odd	6	inner	525.2.bs.a.452.6	yes	1216
25.13	odd	20	inner	525.2.bs.a.338.6	yes	1216
75.38	even	20	inner	525.2.bs.a.338.71	yes	1216
175.88	odd	60	inner	525.2.bs.a.263.71	yes	1216
525.263	even	60	inner	525.2.bs.a.263.6	yes	1216

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
525.2.bs.a.2.6	✓	1216	1.1	even	1	trivial
525.2.bs.a.2.71	yes	1216	3.2	odd	2	inner
525.2.bs.a.263.6	yes	1216	525.263	even	60	inner
525.2.bs.a.263.71	yes	1216	175.88	odd	60	inner
525.2.bs.a.338.6	yes	1216	25.13	odd	20	inner
525.2.bs.a.338.71	yes	1216	75.38	even	20	inner
525.2.bs.a.452.6	yes	1216	21.11	odd	6	inner
525.2.bs.a.452.71	yes	1216	7.4	even	3	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 525 = 3 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	525.bs (of order \(60\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.90594 - 1.54340i) q^{2} +(0.518584 + 1.65260i) q^{3} +(0.834698 + 3.92695i) q^{4} +(0.362947 - 2.20642i) q^{5} +(1.56222 - 3.95012i) q^{6} +(2.39774 - 1.11841i) q^{7} +(2.24315 - 4.40243i) q^{8} +(-2.46214 + 1.71402i) q^{9} +O(q^{10})\)	\(q+(-1.90594 - 1.54340i) q^{2} +(0.518584 + 1.65260i) q^{3} +(0.834698 + 3.92695i) q^{4} +(0.362947 - 2.20642i) q^{5} +(1.56222 - 3.95012i) q^{6} +(2.39774 - 1.11841i) q^{7} +(2.24315 - 4.40243i) q^{8} +(-2.46214 + 1.71402i) q^{9} +(-4.09713 + 3.64512i) q^{10} +(2.26220 - 5.08098i) q^{11} +(-6.05679 + 3.41587i) q^{12} +(-2.82118 + 0.446832i) q^{13} +(-6.29610 - 1.56904i) q^{14} +(3.83453 - 0.544407i) q^{15} +(-3.73482 + 1.66285i) q^{16} +(0.193702 + 3.69606i) q^{17} +(7.33810 + 0.533254i) q^{18} +(0.153681 - 0.723010i) q^{19} +(8.96742 - 0.416419i) q^{20} +(3.09171 + 3.38250i) q^{21} +(-12.1536 + 6.19256i) q^{22} +(0.650094 - 0.802799i) q^{23} +(8.43869 + 1.42399i) q^{24} +(-4.73654 - 1.60162i) q^{25} +(6.06664 + 3.50258i) q^{26} +(-4.10940 - 3.18006i) q^{27} +(6.39333 + 8.48226i) q^{28} +(0.314914 - 0.969205i) q^{29} +(-8.14861 - 4.88060i) q^{30} +(4.01824 - 4.46271i) q^{31} +(0.139570 + 0.0373976i) q^{32} +(9.56994 + 1.10358i) q^{33} +(5.33531 - 7.34343i) q^{34} +(-1.59743 - 5.69633i) q^{35} +(-8.78600 - 8.23801i) q^{36} +(6.11658 + 2.34794i) q^{37} +(-1.40880 + 1.14082i) q^{38} +(-2.20145 - 4.43056i) q^{39} +(-8.89944 - 6.54716i) q^{40} +(6.45844 - 8.88929i) q^{41} +(-0.672061 - 11.2186i) q^{42} +(4.98051 - 4.98051i) q^{43} +(21.8410 + 4.64244i) q^{44} +(2.88821 + 6.05461i) q^{45} +(-2.47808 + 0.526731i) q^{46} +(-8.98978 - 0.471135i) q^{47} +(-4.68483 - 5.30982i) q^{48} +(4.49831 - 5.36332i) q^{49} +(6.55561 + 10.3630i) q^{50} +(-6.00765 + 2.23683i) q^{51} +(-4.10952 - 10.7057i) q^{52} +(-7.48591 - 4.86141i) q^{53} +(2.92417 + 12.4034i) q^{54} +(-10.3897 - 6.83547i) q^{55} +(0.454758 - 13.0646i) q^{56} +(1.27454 - 0.120970i) q^{57} +(-2.09608 + 1.36121i) q^{58} +(-0.364786 + 3.47070i) q^{59} +(5.33853 + 14.6036i) q^{60} +(0.556952 + 5.29905i) q^{61} +(-14.5463 + 2.30390i) q^{62} +(-3.98660 + 6.86346i) q^{63} +(4.59776 + 6.32827i) q^{64} +(-0.0380431 + 6.38688i) q^{65} +(-16.5364 - 16.8736i) q^{66} +(6.90154 - 0.361694i) q^{67} +(-14.3526 + 3.84576i) q^{68} +(1.66383 + 0.658023i) q^{69} +(-5.74711 + 13.3223i) q^{70} +(6.44445 + 2.09393i) q^{71} +(2.02289 + 14.6842i) q^{72} +(-10.3220 + 3.96224i) q^{73} +(-8.03402 - 13.9153i) q^{74} +(0.190542 - 8.65816i) q^{75} +2.96750 q^{76} +(-0.258468 - 14.7129i) q^{77} +(-2.64228 + 11.8421i) q^{78} +(6.29394 - 5.66709i) q^{79} +(2.31339 + 8.84409i) q^{80} +(3.12429 - 8.44031i) q^{81} +(-26.0291 + 6.97448i) q^{82} +(-1.68379 + 3.30462i) q^{83} +(-10.7023 + 14.9643i) q^{84} +(8.22536 + 0.914086i) q^{85} +(-17.1795 + 1.80563i) q^{86} +(1.76501 + 0.0178112i) q^{87} +(-17.2942 - 21.3566i) q^{88} +(-1.24035 - 11.8011i) q^{89} +(3.83992 - 15.9974i) q^{90} +(-6.26472 + 4.22663i) q^{91} +(3.69518 + 1.88279i) q^{92} +(9.45885 + 4.32624i) q^{93} +(16.4068 + 14.7728i) q^{94} +(-1.53948 - 0.601498i) q^{95} +(0.0105755 + 0.250046i) q^{96} +(13.1835 - 6.71730i) q^{97} +(-16.8512 + 3.27948i) q^{98} +(3.13904 + 16.3875i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1216 q - 8 q^{3} - 20 q^{4} - 24 q^{6} - 28 q^{7} - 10 q^{9}+O(q^{10}) \) 1216 * q - 8 * q^3 - 20 * q^4 - 24 * q^6 - 28 * q^7 - 10 * q^9	\( 1216 q - 8 q^{3} - 20 q^{4} - 24 q^{6} - 28 q^{7} - 10 q^{9} - 12 q^{10} - 64 q^{13} - 44 q^{15} - 140 q^{16} - 24 q^{18} - 20 q^{19} - 12 q^{21} + 8 q^{22} - 24 q^{25} - 80 q^{27} - 40 q^{28} - 50 q^{30} - 12 q^{31} - 6 q^{33} - 80 q^{34} + 8 q^{36} - 24 q^{37} - 50 q^{39} - 4 q^{40} - 34 q^{42} - 96 q^{43} + 30 q^{45} - 12 q^{46} - 44 q^{48} - 16 q^{51} - 136 q^{52} - 10 q^{54} - 40 q^{55} - 112 q^{57} - 76 q^{58} - 60 q^{60} - 12 q^{61} - 14 q^{63} - 80 q^{64} - 30 q^{66} - 32 q^{67} + 100 q^{69} - 100 q^{70} + 24 q^{72} - 72 q^{73} - 96 q^{75} - 64 q^{76} + 20 q^{78} - 20 q^{79} - 6 q^{81} - 204 q^{82} + 100 q^{84} - 56 q^{85} + 36 q^{87} - 140 q^{88} + 164 q^{90} - 24 q^{91} + 34 q^{93} - 20 q^{94} - 30 q^{96} - 240 q^{97}+O(q^{100}) \) 1216 * q - 8 * q^3 - 20 * q^4 - 24 * q^6 - 28 * q^7 - 10 * q^9 - 12 * q^10 - 64 * q^13 - 44 * q^15 - 140 * q^16 - 24 * q^18 - 20 * q^19 - 12 * q^21 + 8 * q^22 - 24 * q^25 - 80 * q^27 - 40 * q^28 - 50 * q^30 - 12 * q^31 - 6 * q^33 - 80 * q^34 + 8 * q^36 - 24 * q^37 - 50 * q^39 - 4 * q^40 - 34 * q^42 - 96 * q^43 + 30 * q^45 - 12 * q^46 - 44 * q^48 - 16 * q^51 - 136 * q^52 - 10 * q^54 - 40 * q^55 - 112 * q^57 - 76 * q^58 - 60 * q^60 - 12 * q^61 - 14 * q^63 - 80 * q^64 - 30 * q^66 - 32 * q^67 + 100 * q^69 - 100 * q^70 + 24 * q^72 - 72 * q^73 - 96 * q^75 - 64 * q^76 + 20 * q^78 - 20 * q^79 - 6 * q^81 - 204 * q^82 + 100 * q^84 - 56 * q^85 + 36 * q^87 - 140 * q^88 + 164 * q^90 - 24 * q^91 + 34 * q^93 - 20 * q^94 - 30 * q^96 - 240 * q^97

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