LMFDB - Embedded newform 175.4.x.a.17.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [175,4,Mod(3,175)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(175, base_ring=CyclotomicField(60))

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

N = Newforms(chi, 4, names="a")

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

chi := DirichletCharacter("175.3");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 175 = 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	175.x (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:	$10.3253342510$
Analytic rank:	$0$
Dimension:	$928$
Relative dimension:	$58$ over $\Q(\zeta_{60})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label			17.19
Character	$\chi$	$=$	175.17
Dual form			175.4.x.a.103.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-2.60067 + 0.136295i) q^{2} +(4.66596 - 5.76198i) q^{3} +(-1.21127 + 0.127309i) q^{4} +(1.25058 - 11.1102i) q^{5} +(-11.3493 + 15.6209i) q^{6} +(-1.27366 - 18.4764i) q^{7} +(23.7102 - 3.75532i) q^{8} +(-5.81561 - 27.3603i) q^{9} +(-1.73808 + 29.0644i) q^{10} +(-17.0160 - 3.61685i) q^{11} +(-4.91817 + 7.57332i) q^{12} +(19.8203 - 10.0990i) q^{13} +(5.83063 + 47.8775i) q^{14} +(-58.1814 - 59.0454i) q^{15} +(-51.6199 + 10.9721i) q^{16} +(40.0328 - 104.289i) q^{17} +(18.8536 + 70.3625i) q^{18} +(-10.2874 + 97.8778i) q^{19} +(-0.100358 + 13.6166i) q^{20} +(-112.404 - 78.8713i) q^{21} +(44.7458 + 7.08704i) q^{22} +(8.15245 + 155.558i) q^{23} +(88.9926 - 154.140i) q^{24} +(-121.872 - 27.7883i) q^{25} +(-50.1697 + 28.9655i) q^{26} +(-6.41822 - 3.27025i) q^{27} +(3.89497 + 22.2177i) q^{28} +(-6.80071 - 9.36037i) q^{29} +(159.358 + 145.628i) q^{30} +(-10.0475 - 22.5671i) q^{31} +(-52.7511 + 14.1346i) q^{32} +(-100.236 + 81.1695i) q^{33} +(-89.8979 + 276.677i) q^{34} +(-206.869 - 8.95561i) q^{35} +(10.5275 + 32.4003i) q^{36} +(-271.906 - 176.578i) q^{37} +(13.4138 - 255.950i) q^{38} +(34.2909 - 161.326i) q^{39} +(-12.0708 - 268.121i) q^{40} +(-277.574 - 90.1893i) q^{41} +(303.074 + 189.798i) q^{42} +(245.716 - 245.716i) q^{43} +(21.0713 + 2.21469i) q^{44} +(-311.251 + 30.3962i) q^{45} +(-42.4037 - 403.444i) q^{46} +(-181.708 + 69.7512i) q^{47} +(-177.635 + 348.628i) q^{48} +(-339.756 + 47.0655i) q^{49} +(320.737 + 55.6577i) q^{50} +(-414.119 - 717.276i) q^{51} +(-22.7221 + 14.7559i) q^{52} +(148.211 + 120.019i) q^{53} +(17.1374 + 7.63006i) q^{54} +(-61.4637 + 184.527i) q^{55} +(-99.5837 - 433.296i) q^{56} +(515.969 + 515.969i) q^{57} +(18.9622 + 23.4163i) q^{58} +(385.789 + 428.462i) q^{59} +(77.9904 + 64.1128i) q^{60} +(317.309 + 285.706i) q^{61} +(29.2061 + 57.3202i) q^{62} +(-498.113 + 142.299i) q^{63} +(536.783 - 174.411i) q^{64} +(-87.4144 - 232.837i) q^{65} +(249.618 - 224.757i) q^{66} +(-84.7160 - 32.5194i) q^{67} +(-35.2135 + 131.418i) q^{68} +(934.361 + 678.853i) q^{69} +(539.219 - 4.90471i) q^{70} +(518.857 - 376.972i) q^{71} +(-240.636 - 626.878i) q^{72} +(137.754 + 212.122i) q^{73} +(731.206 + 422.162i) q^{74} +(-728.766 + 572.565i) q^{75} -119.866i q^{76} +(-45.1538 + 319.000i) q^{77} +(-67.1912 + 424.229i) q^{78} +(409.928 - 920.714i) q^{79} +(57.3477 + 587.228i) q^{80} +(641.148 - 285.458i) q^{81} +(734.171 + 196.721i) q^{82} +(35.9505 + 226.983i) q^{83} +(146.192 + 81.2243i) q^{84} +(-1108.60 - 575.193i) q^{85} +(-605.536 + 672.516i) q^{86} +(-85.6660 - 4.48957i) q^{87} +(-417.034 - 21.8558i) q^{88} +(378.752 - 420.646i) q^{89} +(805.318 - 121.473i) q^{90} +(-211.837 - 353.346i) q^{91} +(-29.6788 - 187.385i) q^{92} +(-176.913 - 47.4036i) q^{93} +(463.056 - 206.166i) q^{94} +(1074.57 + 236.699i) q^{95} +(-164.691 + 369.902i) q^{96} +(-20.7184 + 130.811i) q^{97} +(877.177 - 168.709i) q^{98} +486.596i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 928 q - 8 q^{2} - 24 q^{3} - 10 q^{4} - 24 q^{7} + 84 q^{8} - 10 q^{9} - 96 q^{10} - 6 q^{11} - 72 q^{12} - 20 q^{14} - 368 q^{15} - 1670 q^{16} + 120 q^{17} - 14 q^{18} - 30 q^{19} - 12 q^{21} - 880 q^{22}+ \cdots - 19478 q^{98}+O(q^{100}) $ 928 * q - 8 * q^2 - 24 * q^3 - 10 * q^4 - 24 * q^7 + 84 * q^8 - 10 * q^9 - 96 * q^10 - 6 * q^11 - 72 * q^12 - 20 * q^14 - 368 * q^15 - 1670 * q^16 + 120 * q^17 - 14 * q^18 - 30 * q^19 - 12 * q^21 - 880 * q^22 + 296 * q^23 + 32 * q^25 - 48 * q^26 + 226 * q^28 - 200 * q^29 - 38 * q^30 - 18 * q^31 - 964 * q^32 - 1092 * q^33 + 288 * q^35 + 7400 * q^36 - 392 * q^37 + 5424 * q^38 + 2430 * q^39 + 2172 * q^40 - 2098 * q^42 + 1560 * q^43 - 10 * q^44 - 4224 * q^45 - 6 * q^46 + 96 * q^47 + 6232 * q^50 - 16 * q^51 - 8928 * q^52 - 2384 * q^53 - 30 * q^54 + 244 * q^56 + 1556 * q^57 + 640 * q^58 + 4890 * q^59 + 3676 * q^60 - 18 * q^61 + 224 * q^63 - 9700 * q^64 - 1116 * q^65 - 2610 * q^66 - 2404 * q^67 - 13614 * q^68 - 1700 * q^70 - 24 * q^71 - 518 * q^72 - 4200 * q^73 - 16104 * q^75 - 722 * q^77 - 356 * q^78 - 10 * q^79 + 6414 * q^80 - 6810 * q^81 + 1692 * q^82 + 20620 * q^84 + 2712 * q^85 - 6 * q^86 + 9102 * q^87 + 1650 * q^88 + 20370 * q^89 - 12 * q^91 + 1612 * q^92 - 4604 * q^93 - 30 * q^94 + 1652 * q^95 - 2610 * q^96 - 19478 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/175\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{13}{20}\right)$

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 $

$2$	−2.60067	+	0.136295i	−0.919476	+	0.0481877i	−0.506198	−	0.862417i	$-0.668949\pi$
$2$	−2.60067	+	0.136295i	−0.919476	+	0.0481877i	−0.413278	+	0.910605i	$0.635616\pi$
$3$	4.66596	−	5.76198i	0.897964	−	1.10889i	−0.0955773	−	0.995422i	$-0.530470\pi$
$3$	4.66596	−	5.76198i	0.897964	−	1.10889i	0.993541	−	0.113471i	$-0.0361969\pi$
$4$	−1.21127	+	0.127309i	−0.151409	+	0.0159137i
$5$	1.25058	−	11.1102i	0.111855	−	0.993725i
$5$	1.25058	−	11.1102i	0.111855	−	0.993725i
$6$	−11.3493	+	15.6209i	−0.772221	+	1.06287i
$7$	−1.27366	−	18.4764i	−0.0687714	−	0.997632i
$7$	−1.27366	−	18.4764i	−0.0687714	−	0.997632i
$8$	23.7102	−	3.75532i	1.04785	−	0.165963i
$9$	−5.81561	−	27.3603i	−0.215393	−	1.01334i
$10$	−1.73808	+	29.0644i	−0.0549630	+	0.919095i
$11$	−17.0160	−	3.61685i	−0.466409	−	0.0991384i	−0.0312884	−	0.999510i	$-0.509961\pi$
$11$	−17.0160	−	3.61685i	−0.466409	−	0.0991384i	−0.435121	+	0.900372i	$0.643294\pi$
$12$	−4.91817	+	7.57332i	−0.118313	+	0.182186i
$13$	19.8203	−	10.0990i	0.422860	−	0.215458i	−0.229594	−	0.973287i	$-0.573740\pi$
$13$	19.8203	−	10.0990i	0.422860	−	0.215458i	0.652453	+	0.757829i	$0.273740\pi$
$14$	5.83063	+	47.8775i	0.111307	+	0.913985i
$15$	−58.1814	−	59.0454i	−1.00149	−	1.01636i
$16$	−51.6199	+	10.9721i	−0.806561	+	0.171440i
$17$	40.0328	−	104.289i	0.571140	−	1.48787i	−0.278463	−	0.960447i	$-0.589825\pi$
$17$	40.0328	−	104.289i	0.571140	−	1.48787i	0.849603	−	0.527423i	$-0.176842\pi$
$18$	18.8536	+	70.3625i	0.246879	+	0.921366i
$19$	−10.2874	+	97.8778i	−0.124215	+	1.18183i	0.737827	+	0.674990i	$0.235852\pi$
$19$	−10.2874	+	97.8778i	−0.124215	+	1.18183i	−0.862042	+	0.506837i	$0.830815\pi$
$20$	−0.100358	+	13.6166i	−0.00112204	+	0.152238i
$21$	−112.404	−	78.8713i	−1.16802	−	0.819578i
$22$	44.7458	+	7.08704i	0.433629	+	0.0686801i
$23$	8.15245	+	155.558i	0.0739089	+	1.41027i	0.744096	+	0.668073i	$0.232881\pi$
$23$	8.15245	+	155.558i	0.0739089	+	1.41027i	−0.670187	+	0.742192i	$0.733786\pi$
$24$	88.9926	−	154.140i	0.756897	−	1.31098i
$25$	−121.872	−	27.7883i	−0.974977	−	0.222307i
$26$	−50.1697	+	28.9655i	−0.378427	+	0.218485i
$27$	−6.41822	−	3.27025i	−0.0457477	−	0.0233096i
$28$	3.89497	+	22.2177i	0.0262886	+	0.149956i
$29$	−6.80071	−	9.36037i	−0.0435469	−	0.0599371i	0.786688	−	0.617350i	$-0.211794\pi$
$29$	−6.80071	−	9.36037i	−0.0435469	−	0.0599371i	−0.830235	+	0.557413i	$0.811794\pi$
$30$	159.358	+	145.628i	0.969824	+	0.886263i
$31$	−10.0475	−	22.5671i	−0.0582126	−	0.130748i	0.882097	−	0.471068i	$-0.156131\pi$
$31$	−10.0475	−	22.5671i	−0.0582126	−	0.130748i	−0.940310	+	0.340320i	$0.889465\pi$
$32$	−52.7511	+	14.1346i	−0.291412	+	0.0780835i
$33$	−100.236	+	81.1695i	−0.528753	+	0.428175i
$34$	−89.8979	+	276.677i	−0.453452	+	1.39558i
$35$	−206.869	−	8.95561i	−0.999064	−	0.0432507i
$36$	10.5275	+	32.4003i	0.0487384	+	0.150001i
$37$	−271.906	−	176.578i	−1.20814	−	0.784575i	−0.226257	−	0.974068i	$-0.572649\pi$
$37$	−271.906	−	176.578i	−1.20814	−	0.784575i	−0.981882	+	0.189493i	$0.939316\pi$
$38$	13.4138	−	255.950i	0.0572632	−	1.09265i
$39$	34.2909	−	161.326i	0.140793	−	0.662379i
$40$	−12.0708	−	268.121i	−0.0477141	−	1.05984i
$41$	−277.574	−	90.1893i	−1.05731	−	0.343542i	−0.271778	−	0.962360i	$-0.587612\pi$
$41$	−277.574	−	90.1893i	−1.05731	−	0.343542i	−0.785534	+	0.618818i	$0.787612\pi$
$42$	303.074	+	189.798i	1.11346	+	0.697298i
$43$	245.716	−	245.716i	0.871426	−	0.871426i	−0.121202	−	0.992628i	$-0.538675\pi$
$43$	245.716	−	245.716i	0.871426	−	0.871426i	0.992628	+	0.121202i	$0.0386749\pi$
$44$	21.0713	+	2.21469i	0.0721960	+	0.00758811i
$45$	−311.251	+	30.3962i	−1.03108	+	0.100693i
$46$	−42.4037	−	403.444i	−0.135915	−	1.29314i
$47$	−181.708	+	69.7512i	−0.563933	+	0.216474i	−0.623598	−	0.781745i	$-0.714330\pi$
$47$	−181.708	+	69.7512i	−0.563933	+	0.216474i	0.0596656	+	0.998218i	$0.480997\pi$
$48$	−177.635	+	348.628i	−0.534154	+	1.04834i
$49$	−339.756	+	47.0655i	−0.990541	+	0.137217i
$50$	320.737	+	55.6577i	0.907180	+	0.157424i
$51$	−414.119	−	717.276i	−1.13703	−	1.96939i
$52$	−22.7221	+	14.7559i	−0.0605958	+	0.0393514i
$53$	148.211	+	120.019i	0.384120	+	0.311055i	0.801860	−	0.597512i	$-0.203844\pi$
$53$	148.211	+	120.019i	0.384120	+	0.311055i	−0.417739	+	0.908567i	$0.637177\pi$
$54$	17.1374	+	7.63006i	0.0431871	+	0.0192281i
$55$	−61.4637	+	184.527i	−0.150687	+	0.452393i
$56$	−99.5837	−	433.296i	−0.237633	−	1.03396i
$57$	515.969	+	515.969i	1.19898	+	1.19898i
$58$	18.9622	+	23.4163i	0.0429285	+	0.0530123i
$59$	385.789	+	428.462i	0.851278	+	0.945440i	0.999050	−	0.0435817i	$-0.0138769\pi$
$59$	385.789	+	428.462i	0.851278	+	0.945440i	−0.147772	+	0.989021i	$0.547210\pi$
$60$	77.9904	+	64.1128i	0.167809	+	0.137949i
$61$	317.309	+	285.706i	0.666020	+	0.599687i	0.931199	−	0.364512i	$-0.118764\pi$
$61$	317.309	+	285.706i	0.666020	+	0.599687i	−0.265179	+	0.964199i	$0.585431\pi$
$62$	29.2061	+	57.3202i	0.0598255	+	0.117414i
$63$	−498.113	+	142.299i	−0.996133	+	0.284572i
$64$	536.783	−	174.411i	1.04841	−	0.340647i
$65$	−87.4144	−	232.837i	−0.166807	−	0.444306i
$66$	249.618	−	224.757i	0.465542	−	0.419176i
$67$	−84.7160	−	32.5194i	−0.154473	−	0.0592967i	0.279903	−	0.960028i	$-0.409698\pi$
$67$	−84.7160	−	32.5194i	−0.154473	−	0.0592967i	−0.434376	+	0.900732i	$0.643031\pi$
$68$	−35.2135	+	131.418i	−0.0627979	+	0.234365i
$69$	934.361	+	678.853i	1.63020	+	1.18441i
$70$	539.219	−	4.90471i	0.920699	−	0.00837464i
$71$	518.857	−	376.972i	0.867281	−	0.630117i	−0.0625746	−	0.998040i	$-0.519931\pi$
$71$	518.857	−	376.972i	0.867281	−	0.630117i	0.929856	+	0.367923i	$0.119931\pi$
$72$	−240.636	−	626.878i	−0.393878	−	1.02609i
$73$	137.754	+	212.122i	0.220861	+	0.340097i	0.931681	−	0.363278i	$-0.118342\pi$
$73$	137.754	+	212.122i	0.220861	+	0.340097i	−0.710820	+	0.703374i	$0.751676\pi$
$74$	731.206	+	422.162i	1.14866	+	0.663180i
$75$	−728.766	+	572.565i	−1.12201	+	0.881522i
$76$		−	119.866i		−	0.180915i
$77$	−45.1538	+	319.000i	−0.0668280	+	0.472123i
$78$	−67.1912	+	424.229i	−0.0975373	+	0.615826i
$79$	409.928	−	920.714i	0.583804	−	1.31125i	−0.344277	−	0.938868i	$-0.611876\pi$
$79$	409.928	−	920.714i	0.583804	−	1.31125i	0.928081	−	0.372377i	$-0.121457\pi$
$80$	57.3477	+	587.228i	0.0801458	+	0.820676i
$81$	641.148	−	285.458i	0.879490	−	0.391574i
$82$	734.171	+	196.721i	0.988727	+	0.264929i
$83$	35.9505	+	226.983i	0.0475431	+	0.300176i	0.999990	−	0.00452998i	$-0.00144194\pi$
$83$	35.9505	+	226.983i	0.0475431	+	0.300176i	−0.952447	+	0.304706i	$0.901442\pi$
$84$	146.192	+	81.2243i	0.189891	+	0.105504i
$85$	−1108.60	−	575.193i	−1.41465	−	0.733982i
$86$	−605.536	+	672.516i	−0.759263	+	0.843247i
$87$	−85.6660	−	4.48957i	−0.105567	−	0.00553255i
$88$	−417.034	−	21.8558i	−0.505181	−	0.0264754i
$89$	378.752	−	420.646i	0.451097	−	0.500994i	−0.474106	−	0.880468i	$-0.657228\pi$
$89$	378.752	−	420.646i	0.451097	−	0.500994i	0.925202	+	0.379474i	$0.123895\pi$
$90$	805.318	−	121.473i	0.943199	−	0.142270i
$91$	−211.837	−	353.346i	−0.244028	−	0.407041i
$92$	−29.6788	−	187.385i	−0.0336329	−	0.212350i
$93$	−176.913	−	47.4036i	−0.197258	−	0.0528551i
$94$	463.056	−	206.166i	0.508091	−	0.226217i
$95$	1074.57	+	236.699i	1.16052	+	0.255629i
$96$	−164.691	+	369.902i	−0.175091	+	0.393260i
$97$	−20.7184	+	130.811i	−0.0216869	+	0.136926i	−0.996156	−	0.0875953i	$-0.972082\pi$
$97$	−20.7184	+	130.811i	−0.0216869	+	0.136926i	0.974469	+	0.224521i	$0.0720818\pi$
$98$	877.177	−	168.709i	0.904166	−	0.173900i
$99$			486.596i			0.493987i
$100$	151.158	+	18.1437i	0.151158	+	0.0181437i
$101$	562.645	+	324.843i	0.554309	+	0.320031i	0.750858	−	0.660463i	$-0.229640\pi$
$101$	562.645	+	324.843i	0.554309	+	0.320031i	−0.196549	+	0.980494i	$0.562973\pi$
$102$	1174.75	+	1808.95i	1.14037	+	1.75601i
$103$	−383.726	−	999.641i	−0.367084	−	0.956287i	−0.985384	−	0.170345i	$-0.945512\pi$
$103$	−383.726	−	999.641i	−0.367084	−	0.956287i	0.618300	−	0.785942i	$-0.287822\pi$
$104$	432.019	−	313.880i	0.407336	−	0.295947i
$105$	−1016.84	+	1150.19i	−0.945084	+	1.06902i
$106$	−401.807	−	291.930i	−0.368178	−	0.267497i
$107$	−408.845	+	1525.83i	−0.369388	+	1.37858i	0.491985	+	0.870604i	$0.336272\pi$
$107$	−408.845	+	1525.83i	−0.369388	+	1.37858i	−0.861373	+	0.507973i	$0.830395\pi$
$108$	8.19053	+	3.14405i	0.00729753	+	0.00280126i
$109$	1287.05	−	1158.87i	1.13098	−	1.01834i	0.131349	−	0.991336i	$-0.458069\pi$
$109$	1287.05	−	1158.87i	1.13098	−	1.01834i	0.999635	−	0.0270066i	$-0.00859751\pi$
$110$	134.697	−	488.271i	0.116753	−	0.423226i
$111$	−2286.14	+	742.813i	−1.95487	+	0.635177i
$112$	268.472	+	939.775i	0.226502	+	0.792861i
$113$	316.002	+	620.189i	0.263070	+	0.516305i	0.984325	−	0.176366i	$-0.0564341\pi$
$113$	316.002	+	620.189i	0.263070	+	0.516305i	−0.721254	+	0.692670i	$0.756434\pi$
$114$	−1412.19	−	1271.54i	−1.16021	−	1.04466i
$115$	1738.47	+	103.963i	1.40968	+	0.0843006i
$116$	9.42914	+	10.4721i	0.00754719	+	0.00838200i
$117$	−391.578	−	483.559i	−0.309414	−	0.382094i
$118$	−1061.71	−	1061.71i	−0.828288	−	0.828288i
$119$	−1977.87	−	606.833i	−1.52362	−	0.467465i
$120$	−1601.23	−	1181.49i	−1.21809	−	0.898788i
$121$	−939.468	−	418.278i	−0.705836	−	0.314259i
$122$	−864.155	−	699.779i	−0.641286	−	0.519303i
$123$	−1814.82	+	1178.56i	−1.33038	+	0.863958i
$124$	15.0433	+	26.0557i	0.0108946	+	0.0188699i
$125$	−461.144	+	1319.27i	−0.329968	+	0.943992i
$126$	1276.03	−	437.964i	0.902207	−	0.309659i
$127$	1291.70	−	2535.11i	0.902521	−	1.77130i	0.353697	−	0.935360i	$-0.384924\pi$
$127$	1291.70	−	2535.11i	0.902521	−	1.77130i	0.548824	−	0.835938i	$-0.315076\pi$
$128$	−964.347	+	370.178i	−0.665915	+	0.255621i
$129$	−269.310	−	2562.31i	−0.183809	−	1.74883i
$130$	259.071	+	593.618i	0.174785	+	0.400491i
$131$	−103.881	−	10.9183i	−0.0692832	−	0.00728195i	0.0698234	−	0.997559i	$-0.477756\pi$
$131$	−103.881	−	10.9183i	−0.0692832	−	0.00728195i	−0.139107	+	0.990277i	$0.544423\pi$
$132$	111.079	−	111.079i	0.0732438	−	0.0732438i
$133$	1821.53	+	65.4103i	1.18757	+	0.0426450i
$134$	224.750	+	73.0259i	0.144892	+	0.0470782i
$135$	−44.3596	+	67.2179i	−0.0282805	+	0.0428533i
$136$	557.545	−	2623.04i	0.351538	−	1.65385i
$137$	56.9778	−	1087.20i	0.0355324	−	0.677999i	−0.921563	−	0.388228i	$-0.873087\pi$
$137$	56.9778	−	1087.20i	0.0355324	−	0.677999i	0.957096	−	0.289771i	$-0.0935793\pi$
$138$	−2522.49	−	1638.12i	−1.55600	−	1.01048i
$139$	−772.143	−	2376.41i	−0.471168	−	1.45011i	−0.851057	−	0.525074i	$-0.824038\pi$
$139$	−772.143	−	2376.41i	−0.471168	−	1.45011i	0.379889	−	0.925032i	$-0.375962\pi$
$140$	251.714	−	15.4887i	0.151955	−	0.00935026i
$141$	−445.937	+	1372.45i	−0.266345	+	0.819727i
$142$	−1298.00	+	1051.10i	−0.767080	+	0.621169i
$143$	−373.789	+	100.156i	−0.218586	+	0.0585699i
$144$	600.402	+	1348.53i	0.347455	+	0.780397i
$145$	−112.500	+	63.8512i	−0.0644319	+	0.0365693i
$146$	−387.164	−	532.885i	−0.219465	−	0.302068i
$147$	−1314.09	+	2177.27i	−0.737311	+	1.22162i
$148$	351.832	+	179.267i	0.195408	+	0.0995654i
$149$	−1918.87	+	1107.86i	−1.05503	+	0.609123i	−0.924054	−	0.382262i	$-0.875145\pi$
$149$	−1918.87	+	1107.86i	−1.05503	+	0.609123i	−0.130978	+	0.991385i	$0.541812\pi$
$150$	1817.24	−	1588.38i	0.989181	−	0.864605i
$151$	−560.666	+	971.102i	−0.302161	+	0.523359i	−0.976625	−	0.214949i	$-0.931041\pi$
$151$	−560.666	+	971.102i	−0.302161	+	0.523359i	0.674464	+	0.738308i	$0.264375\pi$
$152$	123.647	+	2359.33i	0.0659811	+	1.25899i
$153$	−3086.19	−	488.805i	−1.63074	−	0.258284i
$154$	73.9520	−	835.769i	0.0386962	−	0.437326i
$155$	−263.290	+	83.4078i	−0.136438	+	0.0432224i
$156$	−20.9971	+	199.774i	−0.0107764	+	0.102530i
$157$	47.1196	+	175.853i	0.0239526	+	0.0893923i	0.976867	−	0.213846i	$-0.0685990\pi$
$157$	47.1196	+	175.853i	0.0239526	+	0.0893923i	−0.952915	+	0.303238i	$0.901932\pi$
$158$	−940.599	+	2450.34i	−0.473608	+	1.23379i
$159$	1383.09	−	293.986i	0.689853	−	0.146633i
$160$	91.0686	+	603.751i	0.0449976	+	0.298317i
$161$	2863.77	−	348.757i	1.40184	−	0.170720i
$162$	−1628.51	+	829.767i	−0.789801	+	0.402424i
$163$	2036.42	−	3135.81i	0.978557	−	1.50685i	0.120873	−	0.992668i	$-0.461431\pi$
$163$	2036.42	−	3135.81i	0.978557	−	1.50685i	0.857684	−	0.514177i	$-0.171903\pi$
$164$	347.699	+	73.9057i	0.165553	+	0.0351894i
$165$	776.454	+	1215.15i	0.366345	+	0.573328i
$166$	−124.432	−	585.407i	−0.0581795	−	0.273713i
$167$	2753.75	−	436.150i	1.27600	−	0.202098i	0.518579	−	0.855030i	$-0.326461\pi$
$167$	2753.75	−	436.150i	1.27600	−	0.202098i	0.757417	+	0.652932i	$0.226461\pi$
$168$	−2961.29	−	1447.94i	−1.35993	−	0.664947i
$169$	−1000.51	+	1377.08i	−0.455397	+	0.626800i
$170$	2961.51	+	1344.79i	1.33610	+	0.606710i
$171$	2737.79	−	287.754i	1.22435	−	0.128685i
$172$	−266.346	+	328.910i	−0.118074	+	0.145809i
$173$	−2966.86	+	155.487i	−1.30385	+	0.0683320i	−0.691571	−	0.722308i	$-0.743081\pi$
$173$	−2966.86	+	155.487i	−1.30385	+	0.0683320i	−0.612281	+	0.790640i	$0.709748\pi$
$174$	223.401			0.0973332
$175$	−358.205	+	2287.15i	−0.154730	+	0.987957i
$176$	918.046			0.393184
$177$	4268.86	−	223.721i	1.81281	−	0.0950053i
$178$	−927.676	+	1145.58i	−0.390631	+	0.482389i
$179$	−536.163	+	56.3530i	−0.223881	+	0.0235308i	−0.215805	−	0.976437i	$-0.569237\pi$
$179$	−536.163	+	56.3530i	−0.223881	+	0.0235308i	−0.00807627	+	0.999967i	$0.502571\pi$
$180$	373.138	−	76.4431i	0.154512	−	0.0316541i
$181$	−1409.09	+	1939.45i	−0.578657	+	0.796453i	−0.993547	−	0.113419i	$-0.963820\pi$
$181$	−1409.09	+	1939.45i	−0.578657	+	0.796453i	0.414891	+	0.909871i	$0.363820\pi$
$182$	599.078	+	890.064i	0.243992	+	0.362505i
$183$	3126.78	−	495.233i	1.26305	−	0.200048i
$184$	777.467	+	3657.69i	0.311498	+	1.46548i
$185$	−2301.86	+	2800.10i	−0.914788	+	1.11280i
$186$	466.552	+	99.1687i	0.183921	+	0.0390936i
$187$	−1058.39	+	1629.78i	−0.413890	+	0.637334i
$188$	211.217	−	107.621i	0.0819394	−	0.0417502i
$189$	−52.2478	+	122.751i	−0.0201083	+	0.0472424i
$190$	−2826.87	−	469.115i	−1.07938	−	0.179122i
$191$	78.0604	−	16.5923i	0.0295720	−	0.00628573i	−0.193102	−	0.981179i	$-0.561855\pi$
$191$	78.0604	−	16.5923i	0.0295720	−	0.00628573i	0.222674	+	0.974893i	$0.428521\pi$
$192$	1499.65	−	3906.73i	0.563688	−	1.46846i
$193$	175.801	+	656.097i	0.0655669	+	0.244699i	0.990929	−	0.134385i	$-0.0429059\pi$
$193$	175.801	+	656.097i	0.0655669	+	0.244699i	−0.925362	+	0.379084i	$0.876239\pi$
$194$	36.0527	−	343.019i	0.0133425	−	0.126945i
$195$	−1749.47	−	582.728i	−0.642474	−	0.214000i
$196$	405.543	−	100.263i	0.147793	−	0.0365390i
$197$	−270.475	−	42.8390i	−0.0978200	−	0.0154932i	0.107333	−	0.994223i	$-0.465769\pi$
$197$	−270.475	−	42.8390i	−0.0978200	−	0.0154932i	−0.205153	+	0.978730i	$0.565769\pi$
$198$	−66.3207	−	1265.48i	−0.0238041	−	0.454209i
$199$	1477.49	−	2559.08i	0.526312	−	0.911600i	−0.473218	−	0.880945i	$-0.656908\pi$
$199$	1477.49	−	2559.08i	0.526312	−	0.911600i	0.999530	−	0.0306541i	$-0.00975903\pi$
$200$	−2993.96	−	201.197i	−1.05853	−	0.0711340i
$201$	−582.657	+	336.397i	−0.204465	+	0.118048i
$202$	−1507.53	−	768.124i	−0.525095	−	0.267549i
$203$	−164.284	+	137.575i	−0.0568004	+	0.0475657i
$204$	592.926	+	816.092i	0.203496	+	0.280088i
$205$	−1349.15	+	2971.11i	−0.459652	+	1.01225i
$206$	1134.19	+	2547.44i	0.383606	+	0.861594i
$207$	4208.71	−	1127.72i	1.41317	−	0.378657i
$208$	−912.317	+	738.779i	−0.304124	+	0.246275i
$209$	529.059	−	1628.28i	0.175099	−	0.538901i
$210$	2487.71	−	3129.85i	0.817468	−	1.02848i
$211$	−1370.92	−	4219.25i	−0.447289	−	1.37661i	−0.879954	−	0.475059i	$-0.842427\pi$
$211$	−1370.92	−	4219.25i	−0.447289	−	1.37661i	0.432665	−	0.901555i	$-0.357573\pi$
$212$	−194.803	−	126.507i	−0.0631091	−	0.0409836i
$213$	248.862	−	4748.58i	0.0800552	−	1.52754i
$214$	855.308	−	4023.91i	0.273213	−	1.28537i
$215$	−2422.66	−	3037.23i	−0.768484	−	0.963431i
$216$	−164.458	−	53.4356i	−0.0518053	−	0.0168326i
$217$	−404.162	+	214.385i	−0.126435	+	0.0670664i
$218$	−3189.25	+	3189.25i	−0.990841	+	0.990841i
$219$	1865.00	+	196.019i	0.575456	+	0.0604829i
$220$	50.9570	−	231.337i	0.0156160	−	0.0708942i
$221$	−259.748	−	2471.33i	−0.0790611	−	0.752216i
$222$	5844.26	−	2243.40i	1.76685	−	0.678231i
$223$	2036.07	−	3996.00i	0.611413	−	1.19996i	−0.353015	−	0.935618i	$-0.614844\pi$
$223$	2036.07	−	3996.00i	0.611413	−	1.19996i	0.964428	−	0.264347i	$-0.0851565\pi$
$224$	328.344	+	956.649i	0.0979394	+	0.285352i
$225$	−51.5366	+	3496.06i	−0.0152701	+	1.03587i
$226$	−906.346	−	1569.84i	−0.266766	−	0.462053i
$227$	−1992.17	+	1293.73i	−0.582490	+	0.378273i	−0.801988	−	0.597340i	$-0.796224\pi$
$227$	−1992.17	+	1293.73i	−0.582490	+	0.378273i	0.219499	+	0.975613i	$0.429558\pi$
$228$	−690.665	−	559.289i	−0.200616	−	0.162455i
$229$	2771.38	+	1233.90i	0.799730	+	0.356063i	0.765569	−	0.643354i	$-0.222457\pi$
$229$	2771.38	+	1233.90i	0.799730	+	0.356063i	0.0341609	+	0.999416i	$0.489124\pi$
$230$	−4535.37	−	33.4268i	−1.30023	−	0.00958305i
$231$	1627.39	+	1748.62i	0.463525	+	0.498055i
$232$	−196.397	−	196.397i	−0.0555780	−	0.0555780i
$233$	1295.19	+	1599.43i	0.364166	+	0.449708i	0.925989	−	0.377549i	$-0.123233\pi$
$233$	1295.19	+	1599.43i	0.364166	+	0.449708i	−0.561823	+	0.827257i	$0.689900\pi$
$234$	1084.27	+	1204.21i	0.302911	+	0.336417i
$235$	547.707	+	2106.04i	0.152036	+	0.584608i
$236$	−521.841	−	469.867i	−0.143936	−	0.129601i
$237$	−3392.42	−	6658.01i	−0.929796	−	1.82483i
$238$	5226.50	+	1308.60i	1.42346	+	0.356402i
$239$	−5428.29	+	1763.76i	−1.46915	+	0.477356i	−0.930852	−	0.365398i	$-0.880933\pi$
$239$	−5428.29	+	1763.76i	−1.46915	+	0.477356i	−0.538299	+	0.842754i	$0.680933\pi$
$240$	3651.17	+	2409.54i	0.982009	+	0.648064i
$241$	−1560.02	+	1404.64i	−0.416968	+	0.375440i	−0.850743	−	0.525581i	$-0.823848\pi$
$241$	−1560.02	+	1404.64i	−0.416968	+	0.375440i	0.433775	+	0.901021i	$0.357181\pi$
$242$	2500.26	+	959.758i	0.664143	+	0.254940i
$243$	1397.11	−	5214.08i	0.368825	−	1.37647i
$244$	−420.719	−	305.670i	−0.110384	−	0.0801989i
$245$	98.0141	+	3833.60i	0.0255587	+	0.999673i
$246$	4559.11	−	3312.39i	1.18162	−	0.858497i
$247$	784.566	+	2043.86i	0.202108	+	0.526510i
$248$	−322.975	−	497.339i	−0.0826974	−	0.127343i
$249$	1475.61	+	851.945i	0.375555	+	0.216827i
$250$	1019.47	−	3493.84i	0.257909	−	0.883878i
$251$		−	4623.99i		−	1.16280i	−0.813617	−	0.581402i	$-0.802504\pi$
$251$		−	4623.99i		−	1.16280i	0.813617	−	0.581402i	$-0.197496\pi$
$252$	585.233	−	235.777i	0.146294	−	0.0589388i
$253$	423.909	−	2676.46i	0.105340	−	0.665088i
$254$	−3013.77	+	6769.04i	−0.744492	+	1.67216i
$255$	−8486.95	+	3703.93i	−2.08421	+	0.909604i
$256$	−1667.40	+	742.374i	−0.407080	+	0.181244i
$257$	1024.73	+	274.575i	0.248719	+	0.0666440i	0.381025	−	0.924565i	$-0.375571\pi$
$257$	1024.73	+	274.575i	0.248719	+	0.0666440i	−0.132306	+	0.991209i	$0.542238\pi$
$258$	1049.62	+	6627.01i	0.253280	+	1.59915i
$259$	−2916.21	+	5248.76i	−0.699632	+	1.25924i
$260$	135.525	+	270.900i	0.0323265	+	0.0646172i
$261$	−216.552	+	240.506i	−0.0513573	+	0.0570380i
$262$	271.647	+	14.2364i	0.0640551	+	0.00335698i
$263$	7457.19	+	390.815i	1.74840	+	0.0916300i	0.899501	−	0.436919i	$-0.143930\pi$
$263$	7457.19	+	390.815i	1.74840	+	0.0916300i	0.848903	+	0.528549i	$0.177264\pi$
$264$	−2071.79	+	2300.96i	−0.482993	+	0.536418i
$265$	1518.78	−	1496.56i	0.352068	−	0.346917i
$266$	−4746.12	+	78.1559i	−1.09400	+	0.0180152i
$267$	−656.516	−	4145.08i	−0.150480	−	0.950092i
$268$	106.754	+	28.6046i	0.0243322	+	0.00651979i
$269$	5218.14	−	2323.27i	1.18273	−	0.526587i	0.281349	−	0.959605i	$-0.409218\pi$
$269$	5218.14	−	2323.27i	1.18273	−	0.526587i	0.901385	+	0.433018i	$0.142551\pi$
$270$	106.203	−	180.858i	0.0239382	−	0.0407653i
$271$	−3121.87	+	7011.84i	−0.699780	+	1.57173i	0.115922	+	0.993258i	$0.463018\pi$
$271$	−3121.87	+	7011.84i	−0.699780	+	1.57173i	−0.815702	+	0.578472i	$0.803649\pi$
$272$	−922.214	+	5822.63i	−0.205579	+	1.29797i
$273$	−3024.40	−	428.097i	−0.670494	−	0.0949070i
$274$			2835.22i			0.625116i
$275$	1973.26	+	913.638i	0.432699	+	0.200344i
$276$	−1218.19	−	703.320i	−0.265675	−	0.153387i
$277$	1750.36	+	2695.32i	0.379672	+	0.584644i	0.975913	−	0.218162i	$-0.0700062\pi$
$277$	1750.36	+	2695.32i	0.379672	+	0.584644i	−0.596240	+	0.802806i	$0.703340\pi$
$278$	2331.98	+	6075.03i	0.503105	+	1.31063i
$279$	−559.011	+	406.145i	−0.119954	+	0.0871515i
$280$	−4938.53	+	564.521i	−1.05405	+	0.120488i
$281$	2679.55	+	1946.81i	0.568857	+	0.413299i	0.834690	−	0.550720i	$-0.185647\pi$
$281$	2679.55	+	1946.81i	0.568857	+	0.413299i	−0.265833	+	0.964019i	$0.585647\pi$
$282$	972.677	−	3630.08i	0.205397	−	0.766553i
$283$	4291.04	+	1647.18i	0.901328	+	0.345987i	0.764512	−	0.644609i	$-0.222980\pi$
$283$	4291.04	+	1647.18i	0.901328	+	0.345987i	0.136816	+	0.990597i	$0.456313\pi$
$284$	−580.483	+	522.669i	−0.121286	+	0.109207i
$285$	6377.77	−	5087.25i	1.32557	−	1.05734i
$286$	958.450	−	311.419i	0.198162	−	0.0643867i
$287$	−1312.84	+	5243.45i	−0.270015	+	1.07843i
$288$	693.508	+	1361.09i	0.141894	+	0.278482i
$289$	−5622.49	−	5062.51i	−1.14441	−	1.03043i
$290$	283.873	−	181.389i	0.0574814	−	0.0367294i
$291$	657.057	+	729.736i	0.132362	+	0.147003i
$292$	−193.862	−	239.400i	−0.0388525	−	0.0479788i
$293$	2162.03	+	2162.03i	0.431082	+	0.431082i	0.888996	−	0.457914i	$-0.151403\pi$
$293$	2162.03	+	2162.03i	0.431082	+	0.431082i	−0.457914	+	0.888996i	$0.651403\pi$
$294$	3120.78	−	5841.46i	0.619072	−	1.15878i
$295$	5242.74	−	3750.35i	1.03473	−	0.740183i
$296$	−7110.06	−	3165.60i	−1.39616	−	0.621611i
$297$	97.3842	+	78.8602i	0.0190263	+	0.0154072i
$298$	4839.34	−	3142.71i	0.940724	−	0.610913i
$299$	1732.56	+	3000.88i	0.335106	+	0.580420i
$300$	809.838	−	786.309i	0.155853	−	0.151325i
$301$	−4852.91	−	4226.99i	−0.929292	−	0.809434i
$302$	1325.75	−	2601.93i	0.252611	−	0.495776i
$303$	4497.01	−	1726.24i	0.852629	−	0.327294i
$304$	−542.896	−	5165.31i	−0.102425	−	0.974510i
$305$	3571.06	−	3168.06i	0.670421	−	0.594762i
$306$	8092.79	+	850.586i	1.51188	+	0.158905i
$307$	2087.93	−	2087.93i	0.388158	−	0.388158i	−0.485872	−	0.874030i	$-0.661498\pi$
$307$	2087.93	−	2087.93i	0.388158	−	0.388158i	0.874030	+	0.485872i	$0.161498\pi$
$308$	14.0817	−	392.144i	0.00260512	−	0.0725469i
$309$	−7550.36	−	2453.26i	−1.39005	−	0.451654i
$310$	673.362	−	252.801i	0.123369	−	0.0463166i
$311$	500.660	−	2355.42i	0.0912856	−	0.429465i	−0.908644	−	0.417572i	$-0.862881\pi$
$311$	500.660	−	2355.42i	0.0912856	−	0.429465i	0.999929	−	0.0118927i	$-0.00378565\pi$
$312$	207.212	−	3953.83i	0.0375995	−	0.717442i
$313$	−6347.56	−	4122.16i	−1.14628	−	0.744403i	−0.175525	−	0.984475i	$-0.556162\pi$
$313$	−6347.56	−	4122.16i	−1.14628	−	0.744403i	−0.970755	+	0.240072i	$0.922829\pi$
$314$	−146.511	−	450.913i	−0.0263314	−	0.0810398i
$315$	958.042	+	5712.08i	0.171364	+	1.02171i
$316$	−379.317	+	1167.42i	−0.0675262	+	0.207824i
$317$	−310.809	+	251.689i	−0.0550688	+	0.0445938i	−0.656460	−	0.754361i	$-0.727947\pi$
$317$	−310.809	+	251.689i	−0.0550688	+	0.0445938i	0.601391	+	0.798955i	$0.294613\pi$
$318$	−3556.90	+	953.070i	−0.627237	+	0.168068i
$319$	81.8654	+	183.873i	0.0143686	+	0.0322724i
$320$	−1266.45	−	6181.87i	−0.221240	−	1.07993i
$321$	6884.15	+	9475.22i	1.19700	+	1.64752i
$322$	−7400.19	+	1297.32i	−1.28073	+	0.224524i
$323$	9795.74	+	4991.18i	1.68746	+	0.859804i
$324$	−740.261	+	427.390i	−0.126931	+	0.0732836i
$325$	−2696.18	+	680.008i	−0.460176	+	0.116062i
$326$	−4868.66	+	8432.77i	−0.827148	+	1.43266i
$327$	−672.035	−	12823.2i	−0.113650	−	2.16858i
$328$	−6920.02	−	1096.02i	−1.16492	−	0.184505i
$329$	1520.19	+	3268.47i	0.254743	+	0.547710i
$330$	−2184.92	−	3054.37i	−0.364472	−	0.509508i
$331$	−428.116	+	4073.25i	−0.0710917	+	0.676393i	0.899707	+	0.436495i	$0.143780\pi$
$331$	−428.116	+	4073.25i	−0.0710917	+	0.676393i	−0.970798	+	0.239897i	$0.922886\pi$
$332$	−72.4427	−	270.360i	−0.0119753	−	0.0446926i
$333$	−3249.93	+	8466.35i	−0.534820	+	1.39325i
$334$	−7102.14	+	1509.61i	−1.16351	+	0.247311i
$335$	−467.241	+	900.541i	−0.0762032	+	0.146871i
$336$	6667.64	+	2838.02i	1.08259	+	0.460794i
$337$	−10624.3	+	5413.37i	−1.71734	+	0.875029i	−0.737475	+	0.675374i	$0.763982\pi$
$337$	−10624.3	+	5413.37i	−1.71734	+	0.875029i	−0.979866	+	0.199655i	$0.936018\pi$
$338$	2414.30	−	3717.69i	0.388522	−	0.598272i
$339$	5047.97	+	1072.98i	0.808755	+	0.171906i
$340$	1416.04	+	555.577i	0.225870	+	0.0886188i
$341$	89.3463	+	420.342i	0.0141888	+	0.0667530i
$342$	−7080.88	+	1121.50i	−1.11956	+	0.177321i
$343$	1302.34	+	6217.52i	0.205013	+	0.978759i
$344$	4903.22	−	6748.71i	0.768500	−	1.05775i
$345$	8710.67	−	9531.96i	1.35932	−	1.48749i
$346$	7694.64	−	808.739i	1.19557	−	0.125659i
$347$	6681.04	−	8250.40i	1.03359	−	1.27638i	0.0733244	−	0.997308i	$-0.476639\pi$
$347$	6681.04	−	8250.40i	1.03359	−	1.27638i	0.960270	−	0.279074i	$-0.0900275\pi$
$348$	104.336	−	5.46802i	0.0160718	−	0.000842290i
$349$	−105.304			−0.0161513			−0.00807563	−	0.999967i	$-0.502571\pi$
$349$	−105.304			−0.0161513			−0.00807563	+	0.999967i	$0.502571\pi$
$350$	619.844	−	5996.95i	0.0946630	−	0.915858i
$351$	−160.238			−0.0243671
$352$	948.734	−	49.7210i	0.143658	−	0.00752881i
$353$	−5064.39	+	6254.00i	−0.763598	+	0.942965i	−0.999585	−	0.0287913i	$-0.990834\pi$
$353$	−5064.39	+	6254.00i	−0.763598	+	0.942965i	0.235988	+	0.971756i	$0.424168\pi$
$354$	−11071.4	+	1163.65i	−1.66226	+	0.174710i
$355$	−3539.35	−	6236.03i	−0.529153	−	0.932321i
$356$	−405.218	+	557.734i	−0.0603272	+	0.0830333i
$357$	−12725.2	+	8565.01i	−1.88653	+	1.26977i
$358$	1386.70	−	219.632i	0.204719	−	0.0324243i
$359$	1161.49	+	5464.37i	0.170755	+	0.803338i	0.977249	+	0.212096i	$0.0680289\pi$
$359$	1161.49	+	5464.37i	0.170755	+	0.803338i	−0.806494	+	0.591242i	$0.798638\pi$
$360$	−7265.66	+	1889.55i	−1.06371	+	0.276633i
$361$	−2765.12	−	587.744i	−0.403137	−	0.0856895i
$362$	3400.24	−	5235.91i	0.493682	−	0.760203i
$363$	−6793.63	+	3461.53i	−0.982295	+	0.500504i
$364$	301.576	+	401.028i	0.0434255	+	0.0577461i
$365$	2528.99	−	1265.19i	0.362667	−	0.181434i
$366$	−8064.22	+	1714.10i	−1.15170	+	0.244802i
$367$	−3349.01	+	8724.48i	−0.476341	+	1.24091i	0.459403	+	0.888228i	$0.348063\pi$
$367$	−3349.01	+	8724.48i	−0.476341	+	1.24091i	−0.935743	+	0.352682i	$0.885270\pi$
$368$	−2127.63	−	7940.44i	−0.301388	−	1.12479i
$369$	−853.343	+	8119.02i	−0.120388	+	1.14542i
$370$	5604.72	−	7595.88i	0.787502	−	1.06727i
$371$	2028.75	−	2891.28i	0.283902	−	0.404603i
$372$	220.324	+	34.8958i	0.0307076	+	0.00486361i
$373$	118.267	+	2256.66i	0.0164172	+	0.313259i	0.994478	+	0.104941i	$0.0334654\pi$
$373$	118.267	+	2256.66i	0.0164172	+	0.313259i	−0.978061	+	0.208318i	$0.933201\pi$
$374$	2530.40	−	4382.78i	0.349850	−	0.605958i
$375$	5449.92	+	8812.76i	0.750487	+	1.21357i
$376$	−4046.39	+	2336.18i	−0.554991	+	0.320424i
$377$	−229.322	−	116.846i	−0.0313281	−	0.0159625i
$378$	119.149	−	326.356i	0.0162126	−	0.0444072i
$379$	1996.22	+	2747.55i	0.270551	+	0.372381i	0.922575	−	0.385817i	$-0.126080\pi$
$379$	1996.22	+	2747.55i	0.270551	+	0.372381i	−0.652025	+	0.758198i	$0.726080\pi$
$380$	−1331.73	−	149.902i	−0.179780	−	0.0202363i
$381$	−8580.22	−	19271.5i	−1.15375	−	2.59136i
$382$	−200.748	+	53.7903i	−0.0268879	+	0.00720458i
$383$	9068.54	−	7343.56i	1.20987	−	0.979735i	0.209874	−	0.977729i	$-0.432695\pi$
$383$	9068.54	−	7343.56i	1.20987	−	0.979735i	0.999998	−	0.00200613i	$-0.000638572\pi$
$384$	−2366.65	+	7283.78i	−0.314511	+	0.967966i
$385$	3487.68	+	900.603i	0.461685	+	0.119218i
$386$	−546.622	−	1682.33i	−0.0720786	−	0.221835i
$387$	−8151.85	−	5293.87i	−1.07075	−	0.695356i
$388$	8.44207	−	161.084i	0.00110459	−	0.0210769i
$389$	401.274	−	1887.85i	0.0523019	−	0.246061i	−0.944229	−	0.329291i	$-0.893190\pi$
$389$	401.274	−	1887.85i	0.0523019	−	0.246061i	0.996530	+	0.0832301i	$0.0265236\pi$
$390$	4629.23	+	1277.04i	0.601052	+	0.165809i
$391$	16549.4	+	5377.21i	2.14050	+	0.695492i
$392$	−7878.92	+	2391.82i	−1.01517	+	0.308177i
$393$	−547.614	+	547.614i	−0.0702887	+	0.0702887i
$394$	709.254	+	74.5456i	0.0906897	+	0.00953187i
$395$	−9716.64	−	5705.80i	−1.23771	−	0.726810i
$396$	−61.9482	−	589.398i	−0.00786115	−	0.0747939i
$397$	1062.75	−	407.953i	0.134353	−	0.0515732i	−0.290263	−	0.956947i	$-0.593743\pi$
$397$	1062.75	−	407.953i	0.134353	−	0.0515732i	0.424615	+	0.905374i	$0.360409\pi$
$398$	−3493.66	+	6856.69i	−0.440003	+	0.863555i
$399$	8876.09	−	10190.4i	1.11368	−	1.27860i
$400$	6595.92	+	97.2327i	0.824490	+	0.0121541i
$401$	−1958.71	−	3392.58i	−0.243923	−	0.422488i	0.717905	−	0.696141i	$-0.245101\pi$
$401$	−1958.71	−	3392.58i	−0.243923	−	0.422488i	−0.961828	+	0.273653i	$0.911768\pi$
$402$	1469.45	−	954.272i	0.182312	−	0.118395i
$403$	−427.050	−	345.819i	−0.0527863	−	0.0427455i
$404$	−722.869	−	321.842i	−0.0890200	−	0.0396343i
$405$	−2369.68	−	7480.26i	−0.290741	−	0.917771i
$406$	408.498	−	380.177i	0.0499345	−	0.0464726i
$407$	3988.09	+	3988.09i	0.485706	+	0.485706i
$408$	−12512.4	−	15451.6i	−1.51828	−	1.87492i
$409$	3776.40	+	4194.12i	0.456555	+	0.507056i	0.926839	−	0.375459i	$-0.122515\pi$
$409$	3776.40	+	4194.12i	0.456555	+	0.507056i	−0.470284	+	0.882515i	$0.655848\pi$
$410$	3103.74	−	7910.76i	0.373861	−	0.952889i
$411$	−5998.57	−	5401.14i	−0.719922	−	0.648220i
$412$	592.059	+	1161.98i	0.0707978	+	0.138948i
$413$	7425.07	−	7673.70i	0.884658	−	0.914282i
$414$	−10791.8	+	3506.45i	−1.28112	+	0.416263i
$415$	2566.78	−	115.557i	0.303610	−	0.0136686i
$416$	−902.801	+	812.885i	−0.106403	+	0.0958053i
$417$	−17295.6	−	6639.17i	−2.03110	−	0.779668i
$418$	−1153.98	+	4306.72i	−0.135031	+	0.503944i
$419$	−3601.32	−	2616.51i	−0.419894	−	0.305071i	0.357701	−	0.933836i	$-0.383561\pi$
$419$	−3601.32	−	2616.51i	−0.419894	−	0.305071i	−0.777595	+	0.628765i	$0.783561\pi$
$420$	1085.24	−	1522.64i	0.126082	−	0.176898i
$421$	2152.87	−	1564.15i	0.249227	−	0.181074i	−0.456157	−	0.889899i	$-0.650774\pi$
$421$	2152.87	−	1564.15i	0.249227	−	0.181074i	0.705384	+	0.708825i	$0.250774\pi$
$422$	4140.37	+	10786.0i	0.477607	+	1.24421i
$423$	2965.16	+	4565.94i	0.340829	+	0.524831i
$424$	3964.82	+	2289.09i	0.454125	+	0.262189i
$425$	−7776.89	+	11597.5i	−0.887611	+	1.32367i
$426$			12383.4i			1.40840i
$427$	4874.68	−	6226.62i	0.552464	−	0.705684i
$428$	300.969	−	1900.24i	0.0339903	−	0.214607i
$429$	−1166.98	+	2621.09i	−0.131334	+	0.294982i
$430$	6714.50	+	7568.65i	0.753027	+	0.848820i
$431$	−13246.9	+	5897.88i	−1.48046	+	0.659144i	−0.978594	−	0.205801i	$-0.934020\pi$
$431$	−13246.9	+	5897.88i	−1.48046	+	0.659144i	−0.501867	+	0.864945i	$0.667353\pi$
$432$	367.190	+	98.3882i	0.0408945	+	0.0109576i
$433$	715.165	+	4515.38i	0.0793733	+	0.501143i	0.995062	+	0.0992551i	$0.0316460\pi$
$433$	715.165	+	4515.38i	0.0793733	+	0.501143i	−0.915689	+	0.401888i	$0.868354\pi$
$434$	1021.87	−	612.631i	0.113022	−	0.0677586i
$435$	−157.012	+	946.150i	−0.0173061	+	0.104286i
$436$	−1411.43	+	1567.55i	−0.155035	+	0.172184i
$437$	−15309.6	−	802.340i	−1.67587	−	0.0878286i
$438$	−4876.96	−	255.591i	−0.532033	−	0.0278826i
$439$	7029.23	−	7806.75i	0.764207	−	0.848738i	−0.227958	−	0.973671i	$-0.573205\pi$
$439$	7029.23	−	7806.75i	0.764207	−	0.848738i	0.992165	+	0.124933i	$0.0398715\pi$
$440$	−764.356	+	4605.98i	−0.0828164	+	0.499049i
$441$	3263.61	+	9022.10i	0.352404	+	0.974204i
$442$	1012.35	+	6391.72i	0.108942	+	0.687835i
$443$	5764.55	+	1544.61i	0.618244	+	0.165658i	0.554329	−	0.832297i	$-0.312975\pi$
$443$	5764.55	+	1544.61i	0.618244	+	0.165658i	0.0639147	+	0.997955i	$0.479641\pi$
$444$	2674.57	−	1190.79i	0.285877	−	0.127281i
$445$	−4199.80	−	4734.05i	−0.447392	−	0.504305i
$446$	−4750.50	+	10669.8i	−0.504356	+	1.13280i
$447$	−2569.90	+	16225.7i	−0.271928	+	1.71689i
$448$	−3906.18	−	9695.69i	−0.411941	−	1.02250i
$449$		−	9420.69i		−	0.990177i	−0.868842	−	0.495089i	$-0.835136\pi$
$449$		−	9420.69i		−	0.990177i	0.868842	−	0.495089i	$-0.164864\pi$
$450$	−342.467	−	9099.13i	−0.0358757	−	0.953194i
$451$	4396.99	+	2538.60i	0.459082	+	0.265051i
$452$	−461.719	−	710.985i	−0.0480474	−	0.0739865i
$453$	2979.43	+	7761.67i	0.309019	+	0.805022i
$454$	5004.66	−	3636.09i	0.517357	−	0.375882i
$455$	−4190.66	+	1911.66i	−0.431783	+	0.196967i
$456$	14171.3	+	10296.1i	1.45534	+	1.05736i
$457$	−1418.93	+	5295.53i	−0.145240	+	0.542044i	0.854504	+	0.519444i	$0.173861\pi$
$457$	−1418.93	+	5295.53i	−0.145240	+	0.542044i	−0.999745	+	0.0225999i	$0.992806\pi$
$458$	−7375.63	−	2831.24i	−0.752490	−	0.288854i
$459$	−597.990	+	538.433i	−0.0608100	+	0.0547536i
$460$	−2118.99	+	95.3973i	−0.214780	+	0.00966940i
$461$	12462.2	−	4049.21i	1.25905	−	0.409090i	0.397893	−	0.917432i	$-0.369741\pi$
$461$	12462.2	−	4049.21i	1.25905	−	0.409090i	0.861155	+	0.508342i	$0.169741\pi$
$462$	−4470.63	−	4325.77i	−0.450200	−	0.435613i
$463$	7427.76	+	14577.8i	0.745566	+	1.46326i	0.881323	+	0.472514i	$0.156653\pi$
$463$	7427.76	+	14577.8i	0.745566	+	1.46326i	−0.135757	+	0.990742i	$0.543347\pi$
$464$	453.755	+	408.563i	0.0453988	+	0.0408773i
$465$	−747.906	+	1906.25i	−0.0745877	+	0.190108i
$466$	−3586.36	−	3983.06i	−0.356513	−	0.395947i
$467$	−384.679	−	475.039i	−0.0381174	−	0.0470711i	0.757731	−	0.652567i	$-0.226308\pi$
$467$	−384.679	−	475.039i	−0.0381174	−	0.0470711i	−0.795848	+	0.605496i	$0.792975\pi$
$468$	535.868	+	535.868i	0.0529284	+	0.0529284i
$469$	−492.942	+	1606.67i	−0.0485330	+	0.158185i
$470$	−1711.45	−	5402.46i	−0.167964	−	0.530206i
$471$	1233.12	+	549.020i	0.120635	+	0.0537102i
$472$	10756.1	+	8710.14i	1.04892	+	0.849399i
$473$	−5069.81	+	3292.37i	−0.492833	+	0.320049i
$474$	9730.03	+	16852.9i	0.942859	+	1.63308i
$475$	3973.61	−	11642.7i	0.383835	−	1.12464i
$476$	2472.99	+	483.235i	0.238129	+	0.0465316i
$477$	2421.82	−	4753.09i	0.232469	−	0.456245i
$478$	13876.8	−	5326.81i	1.32785	−	0.509712i
$479$	497.809	+	4736.34i	0.0474854	+	0.451793i	0.992270	+	0.124100i	$0.0396044\pi$
$479$	497.809	+	4736.34i	0.0474854	+	0.451793i	−0.944784	+	0.327693i	$0.893729\pi$
$480$	3903.72	+	2292.34i	0.371208	+	0.217980i
$481$	−7172.54	−	753.864i	−0.679916	−	0.0714620i
$482$	3865.64	−	3865.64i	0.365301	−	0.365301i
$483$	11352.7	−	18128.3i	1.06950	−	1.70780i
$484$	1191.20	+	387.044i	0.111871	+	0.0363490i
$485$	1427.42	+	393.774i	0.133641	+	0.0368667i
$486$	−2922.76	+	13750.5i	−0.272797	+	1.28341i
$487$	538.302	−	10271.4i	0.0500879	−	0.955733i	−0.851828	−	0.523822i	$-0.824506\pi$
$487$	538.302	−	10271.4i	0.0500879	−	0.955733i	0.901916	−	0.431912i	$-0.142161\pi$
$488$	8596.36	+	5582.54i	0.797416	+	0.517848i
$489$	−8566.63	−	26365.4i	−0.792222	−	2.43821i
$490$	−777.405	−	9956.58i	−0.0716726	−	0.917944i
$491$	−512.088	+	1576.04i	−0.0470676	+	0.144859i	−0.971828	−	0.235690i	$-0.924265\pi$
$491$	−512.088	+	1576.04i	−0.0470676	+	0.144859i	0.924761	+	0.380549i	$0.124265\pi$
$492$	2048.19	−	1658.59i	0.187682	−	0.151982i
$493$	−1248.43	+	334.517i	−0.114050	+	0.0305596i
$494$	−2318.97	−	5208.48i	−0.211205	−	0.474374i
$495$	5406.17	+	608.527i	0.490887	+	0.0552551i
$496$	766.262	+	1054.67i	0.0693673	+	0.0954759i
$497$	−7625.93	−	9106.48i	−0.688269	−	0.821894i
$498$	−3953.70	−	2014.51i	−0.355762	−	0.181270i
$499$	−3145.47	+	1816.04i	−0.282185	+	0.162920i	−0.634412	−	0.772995i	$-0.718758\pi$
$499$	−3145.47	+	1816.04i	−0.282185	+	0.162920i	0.352227	+	0.935915i	$0.385424\pi$
$500$	390.614	−	1656.70i	0.0349376	−	0.148179i
$501$	10335.8	−	17902.1i	0.921693	−	1.59642i
$502$	630.228	+	12025.5i	0.0560328	+	1.06917i
$503$	13850.8	+	2193.75i	1.22778	+	0.194462i	0.736440	−	0.676503i	$-0.236505\pi$
$503$	13850.8	+	2193.75i	1.22778	+	0.194462i	0.491345	+	0.870965i	$0.336505\pi$
$504$	−11276.0	+	5244.52i	−0.996570	+	0.463511i
$505$	4312.70	−	5844.84i	0.380025	−	0.515033i
$506$	−737.659	+	7018.35i	−0.0648082	+	0.616608i
$507$	3266.38	+	12190.3i	0.286124	+	1.06783i
$508$	−1241.86	+	3235.15i	−0.108462	+	0.282552i
$509$	−9979.04	+	2121.11i	−0.868985	+	0.184708i	−0.620766	−	0.783996i	$-0.713178\pi$
$509$	−9979.04	+	2121.11i	−0.868985	+	0.184708i	−0.248218	+	0.968704i	$0.579845\pi$
$510$	21566.9	−	10789.4i	1.87255	−	0.936792i
$511$	3743.81	−	2815.37i	0.324102	−	0.243727i
$512$	11598.1	−	5909.55i	1.00111	−	0.510093i
$513$	386.111	−	594.559i	0.0332305	−	0.0511704i
$514$	−2702.40	−	574.413i	−0.231902	−	0.0492924i
$515$	−11586.1	+	3013.14i	−0.991347	+	0.257815i
$516$	652.412	+	3069.36i	0.0556606	+	0.261862i
$517$	3344.22	−	529.672i	0.284484	−	0.0450579i
$518$	6868.72	−	14047.7i	0.582615	−	1.19155i
$519$	−12947.3	+	17820.5i	−1.09504	+	1.50719i
$520$	−2946.99	−	5192.34i	−0.248527	−	0.437883i
$521$	3603.07	−	378.698i	0.302982	−	0.0318447i	0.0481822	−	0.998839i	$-0.484657\pi$
$521$	3603.07	−	378.698i	0.302982	−	0.0318447i	0.254799	+	0.966994i	$0.417991\pi$
$522$	530.401	−	654.991i	0.0444732	−	0.0549199i
$523$	2091.48	−	109.610i	0.174864	−	0.00916425i	0.0352972	−	0.999377i	$-0.488762\pi$
$523$	2091.48	−	109.610i	0.174864	−	0.00916425i	0.139567	+	0.990213i	$0.455429\pi$
$524$	127.217			0.0106059
$525$	11507.2	+	12735.7i	0.956597	+	1.05873i
$526$	−19447.0			−1.61203
$527$	−2755.73	+	144.422i	−0.227783	+	0.0119376i
$528$	4283.56	−	5289.76i	0.353065	−	0.435999i
$529$	−12031.5	+	1264.56i	−0.988864	+	0.103934i
$530$	−3745.88	+	4099.06i	−0.307001	+	0.335947i
$531$	9479.24	−	13047.1i	0.774697	−	1.06628i
$532$	−2214.69	+	152.669i	−0.180487	+	0.0124418i
$533$	−6412.44	+	1015.63i	−0.521113	+	0.0825363i
$534$	2272.34	+	10690.5i	0.184145	+	0.866336i
$535$	16441.0	+	6450.52i	1.32861	+	0.521271i
$536$	−2130.75	−	452.905i	−0.171706	−	0.0364972i
$537$	−2177.01	+	3352.30i	−0.174944	+	0.269390i
$538$	−13254.0	+	6753.26i	−1.06212	+	0.541178i
$539$	5951.49	+	427.982i	0.475601	+	0.0342013i
$540$	45.1738	−	87.0663i	0.00359995	−	0.00693840i
$541$	10698.9	−	2274.13i	0.850247	−	0.180726i	0.237875	−	0.971296i	$-0.423549\pi$
$541$	10698.9	−	2274.13i	0.850247	−	0.180726i	0.612371	+	0.790570i	$0.290216\pi$
$542$	7163.28	−	18661.0i	0.567692	−	1.47889i
$543$	4600.29	+	17168.5i	0.363568	+	1.35685i
$544$	−637.689	+	6067.21i	−0.0502586	+	0.478179i
$545$	−11265.7	−	15748.6i	−0.885446	−	1.23779i
$546$	7923.80	+	701.128i	0.621076	+	0.0549552i
$547$	−18193.9	−	2881.64i	−1.42215	−	0.225247i	−0.602505	−	0.798115i	$-0.705830\pi$
$547$	−18193.9	−	2881.64i	−1.42215	−	0.225247i	−0.819647	+	0.572869i	$0.805830\pi$
$548$	69.3956	+	1324.15i	0.00540955	+	0.103220i
$549$	5971.66	−	10343.2i	0.464233	−	0.804076i
$550$	−5256.33	−	2107.13i	−0.407510	−	0.163360i
$551$	986.134	−	569.344i	0.0762445	−	0.0440198i
$552$	24703.2	+	12586.9i	1.90478	+	0.970532i
$553$	−17533.6	−	6401.32i	−1.34829	−	0.492246i
$554$	−4919.48	−	6771.08i	−0.377272	−	0.519270i
$555$	5393.78	+	26328.4i	0.412528	+	2.01366i
$556$	1237.81	+	2780.17i	0.0944154	+	0.212060i
$557$	19854.7	−	5320.06i	1.51036	−	0.404700i	0.593806	−	0.804608i	$-0.297625\pi$
$557$	19854.7	−	5320.06i	1.51036	−	0.404700i	0.916555	+	0.399908i	$0.130958\pi$
$558$	1398.45	−	1132.44i	0.106095	−	0.0859140i
$559$	2388.70	−	7351.65i	0.180735	−	0.556246i
$560$	10776.8	−	1807.51i	0.813221	−	0.136395i
$561$	4452.35	+	13702.9i	0.335078	+	1.03126i
$562$	−7233.98	−	4697.80i	−0.542966	−	0.352606i
$563$	−1209.01	+	23069.4i	−0.0905043	+	1.72692i	0.456439	+	0.889755i	$0.349125\pi$
$563$	−1209.01	+	23069.4i	−0.0905043	+	1.72692i	−0.546943	+	0.837170i	$0.684209\pi$
$564$	365.423	−	1719.18i	0.0272821	−	0.128352i
$565$	7285.59	−	2735.24i	0.542491	−	0.203668i
$566$	−11384.1	−	3698.91i	−0.845421	−	0.274694i
$567$	−6090.84	−	11482.5i	−0.451131	−	0.850479i
$568$	10886.5	−	10886.5i	0.804206	−	0.804206i
$569$	13076.3	+	1374.38i	0.963425	+	0.101260i	0.573161	−	0.819443i	$-0.305717\pi$
$569$	13076.3	+	1374.38i	0.963425	+	0.101260i	0.390264	+	0.920703i	$0.372384\pi$
$570$	−15893.1	+	14099.5i	−1.16788	+	1.03608i
$571$	−387.942	−	3691.02i	−0.0284323	−	0.270516i	−0.999497	−	0.0317005i	$-0.989908\pi$
$571$	−387.942	−	3691.02i	−0.0284323	−	0.270516i	0.971065	−	0.238815i	$-0.0767590\pi$
$572$	440.007	−	168.903i	0.0321637	−	0.0123465i
$573$	268.622	−	527.201i	0.0195844	−	0.0384366i
$574$	2699.60	−	13815.4i	0.196305	−	1.00461i
$575$	3329.15	−	19184.7i	0.241452	−	1.39141i
$576$	−7893.68	−	13672.2i	−0.571012	−	0.989023i
$577$	8049.25	−	5227.24i	0.580753	−	0.377146i	−0.220575	−	0.975370i	$-0.570793\pi$
$577$	8049.25	−	5227.24i	0.580753	−	0.377146i	0.801329	+	0.598224i	$0.204127\pi$
$578$	15312.2	+	12399.6i	1.10191	+	0.892310i
$579$	4600.69	+	2048.36i	0.330222	+	0.147024i
$580$	128.139	−	91.6632i	0.00917359	−	0.00656225i
$581$	4148.03	−	953.336i	0.296195	−	0.0680741i
$582$	−1808.25	−	1808.25i	−0.128787	−	0.128787i
$583$	−2087.86	−	2578.30i	−0.148320	−	0.183160i
$584$	4062.76	+	4512.15i	0.287873	+	0.319716i
$585$	−5862.13	+	3745.78i	−0.414306	+	0.264733i
$586$	−5917.39	−	5328.05i	−0.417142	−	0.375596i
$587$	−2647.77	−	5196.54i	−0.186176	−	0.365390i	0.778987	−	0.627040i	$-0.215734\pi$
$587$	−2647.77	−	5196.54i	−0.186176	−	0.365390i	−0.965163	+	0.261649i	$0.915734\pi$
$588$	1314.53	−	2804.55i	0.0921947	−	0.196697i
$589$	2312.18	−	751.274i	0.161752	−	0.0525564i
$590$	−13123.5	+	10468.0i	−0.915738	+	0.730441i
$591$	−1508.86	+	1358.58i	−0.105019	+	0.0945596i
$592$	15973.2	+	6131.54i	1.10894	+	0.425684i
$593$	−3011.17	+	11237.8i	−0.208523	+	0.778218i	0.779824	+	0.625999i	$0.215309\pi$
$593$	−3011.17	+	11237.8i	−0.208523	+	0.778218i	−0.988347	+	0.152219i	$0.951358\pi$
$594$	−264.012	−	191.816i	−0.0182366	−	0.0132497i
$595$	−9215.51	+	21215.6i	−0.634957	+	1.46178i
$596$	2183.22	−	1586.20i	0.150047	−	0.109016i
$597$	−7851.48	−	20453.8i	−0.538257	−	1.40221i
$598$	−4914.83	−	7568.17i	−0.336091	−	0.517534i
$599$	17579.1	+	10149.3i	1.19910	+	0.692301i	0.960355	−	0.278781i	$-0.0899303\pi$
$599$	17579.1	+	10149.3i	1.19910	+	0.692301i	0.238746	+	0.971082i	$0.423264\pi$
$600$	−15129.0	+	16312.4i	−1.02940	+	1.10992i
$601$			14153.7i			0.960637i	0.877094	+	0.480318i	$0.159479\pi$
$601$			14153.7i			0.960637i	−0.877094	+	0.480318i	$0.840521\pi$
$602$	13196.9	+	10331.6i	0.893466	+	0.699474i
$603$	−397.066	+	2506.97i	−0.0268155	+	0.169307i
$604$	555.487	−	1247.64i	0.0374212	−	0.0840495i
$605$	−5822.02	+	9914.57i	−0.391238	+	0.666255i
$606$	−11460.0	+	5102.31i	−0.768200	+	0.342025i
$607$	15704.5	+	4208.00i	1.05012	+	0.281380i	0.742303	−	0.670065i	$-0.233734\pi$
$607$	15704.5	+	4208.00i	1.05012	+	0.281380i	0.307821	+	0.951444i	$0.400400\pi$
$608$	−840.795	−	5308.57i	−0.0560835	−	0.354097i
$609$	26.1587	+	1588.52i	0.00174056	+	0.105698i
$610$	−8855.37	+	8725.79i	−0.587776	+	0.579175i
$611$	−2897.10	+	3217.56i	−0.191824	+	0.213042i
$612$	3800.44	+	199.172i	0.251019	+	0.0131553i
$613$	−12649.3	−	662.922i	−0.833444	−	0.0436789i	−0.369160	−	0.929366i	$-0.620355\pi$
$613$	−12649.3	−	662.922i	−0.833444	−	0.0436789i	−0.464283	+	0.885687i	$0.653688\pi$
$614$	−5145.44	+	5714.59i	−0.338197	+	0.375606i
$615$	10824.4	+	21636.8i	0.709727	+	1.41867i
$616$	127.344	+	7733.12i	0.00832926	+	0.505806i
$617$	1.16761	+	7.37199i	7.61850e−5	+	0.000481013i	0.987726	−	0.156194i	$-0.0499225\pi$
$617$	1.16761	+	7.37199i	7.61850e−5	+	0.000481013i	−0.987650	+	0.156675i	$0.949922\pi$
$618$	19970.4	+	5351.04i	1.29988	+	0.348302i
$619$	−10934.3	+	4868.25i	−0.709992	+	0.316109i	−0.729767	−	0.683696i	$-0.760372\pi$
$619$	−10934.3	+	4868.25i	−0.709992	+	0.316109i	0.0197751	+	0.999804i	$0.493705\pi$
$620$	308.296	−	134.549i	0.0199701	−	0.00871549i
$621$	456.389	−	1025.07i	0.0294916	−	0.0662392i
$622$	−981.019	+	6193.91i	−0.0632400	+	0.399282i
$623$	−8254.44	−	6462.21i	−0.530830	−	0.415575i
$624$			8703.86i			0.558387i
$625$	14080.6	+	6773.25i	0.901159	+	0.433488i
$626$	17069.7	+	9855.22i	1.08985	+	0.629224i
$627$	−6913.52	−	10645.9i	−0.440350	−	0.678080i
$628$	−79.4623	−	207.006i	−0.00504919	−	0.0131536i
$629$	−29300.3	+	21287.9i	−1.85736	+	1.34945i
$630$	−3270.08	−	14724.7i	−0.206799	−	0.931182i
$631$	4506.50	+	3274.16i	0.284312	+	0.206565i	0.720796	−	0.693147i	$-0.243776\pi$
$631$	4506.50	+	3274.16i	0.284312	+	0.206565i	−0.436484	+	0.899712i	$0.643776\pi$
$632$	6261.89	−	23369.7i	0.394121	−	1.47088i
$633$	−30707.9	−	11787.7i	−1.92817	−	0.740154i
$634$	774.009	−	696.921i	0.0484855	−	0.0436566i
$635$	−26550.2	−	17521.4i	−1.65923	−	1.09499i
$636$	−1637.87	+	532.177i	−0.102116	+	0.0331795i
$637$	−6258.76	+	4364.04i	−0.389295	+	0.271443i
$638$	−237.966	−	467.034i	−0.0147667	−	0.0289813i
$639$	−13331.5	−	12003.8i	−0.825332	−	0.743132i
$640$	2906.75	+	11177.0i	0.179530	+	0.690328i
$641$	−15271.8	−	16961.1i	−0.941030	−	1.04512i	−0.998904	−	0.0467956i	$-0.985099\pi$
$641$	−15271.8	−	16961.1i	−0.941030	−	1.04512i	0.0578747	−	0.998324i	$-0.481568\pi$
$642$	−19194.8	−	23703.6i	−1.18000	−	1.45718i
$643$	−10194.5	−	10194.5i	−0.625246	−	0.625246i	0.321622	−	0.946868i	$-0.395772\pi$
$643$	−10194.5	−	10194.5i	−0.625246	−	0.625246i	−0.946868	+	0.321622i	$0.895772\pi$
$644$	−3424.40	+	787.023i	−0.209534	+	0.0481569i
$645$	−28804.5	−	212.297i	−1.75841	−	0.0129600i
$646$	−26155.8	−	11645.3i	−1.59301	−	0.709254i
$647$	−5055.07	−	4093.52i	−0.307164	−	0.248737i	0.463327	−	0.886188i	$-0.346656\pi$
$647$	−5055.07	−	4093.52i	−0.307164	−	0.248737i	−0.770491	+	0.637451i	$0.779989\pi$
$648$	14129.7	−	9175.97i	0.856588	−	0.556275i
$649$	−5014.88	−	8686.02i	−0.303315	−	0.525356i
$650$	6919.19	−	2135.95i	0.417528	−	0.128891i
$651$	−650.521	+	3329.09i	−0.0391643	+	0.200426i
$652$	−2067.43	+	4057.57i	−0.124182	+	0.243722i
$653$	20479.2	−	7861.21i	1.22728	−	0.471107i	0.343560	−	0.939131i	$-0.388367\pi$
$653$	20479.2	−	7861.21i	1.22728	−	0.471107i	0.883716	+	0.468023i	$0.155034\pi$
$654$	3495.48	+	33257.3i	0.208997	+	1.98848i
$655$	−251.215	+	1140.48i	−0.0149859	+	0.0680339i
$656$	15317.9	+	1609.98i	0.911683	+	0.0958218i
$657$	5002.61	−	5002.61i	0.297063	−	0.297063i
$658$	−4398.98	−	8293.02i	−0.260623	−	0.491331i
$659$	2179.68	+	708.221i	0.128844	+	0.0418640i	0.372729	−	0.927940i	$-0.378422\pi$
$659$	2179.68	+	708.221i	0.128844	+	0.0418640i	−0.243885	+	0.969804i	$0.578422\pi$
$660$	−1095.19	−	1373.02i	−0.0645915	−	0.0809769i
$661$	2737.40	−	12878.4i	0.161078	−	0.757811i	−0.821239	−	0.570584i	$-0.806717\pi$
$661$	2737.40	−	12878.4i	0.161078	−	0.757811i	0.982317	−	0.187227i	$-0.0599499\pi$
$662$	558.223	−	10651.5i	0.0327733	−	0.625352i
$663$	−15451.7	−	10034.5i	−0.905122	−	0.587793i
$664$	1704.79	+	5246.79i	0.0996363	+	0.306649i
$665$	3004.69	−	20155.8i	0.175214	−	1.17535i
$666$	7298.07	−	22461.1i	0.424616	−	1.30683i
$667$	1400.64	−	1134.21i	0.0813088	−	0.0658425i
$668$	−3280.00	+	878.873i	−0.189980	+	0.0509051i
$669$	−13524.7	−	30376.9i	−0.781606	−	1.75552i
$670$	1092.40	−	2405.69i	0.0629896	−	0.138716i
$671$	−4365.95	−	6009.22i	−0.251186	−	0.345728i
$672$	7044.23	+	2571.77i	0.404371	+	0.147631i
$673$	8654.75	+	4409.81i	0.495715	+	0.252579i	0.683929	−	0.729549i	$-0.260270\pi$
$673$	8654.75	+	4409.81i	0.495715	+	0.252579i	−0.188214	+	0.982128i	$0.560270\pi$
$674$	26892.6	−	15526.4i	1.53689	−	0.887323i
$675$	691.328	+	576.904i	0.0394211	+	0.0328964i
$676$	1036.57	−	1795.39i	0.0589763	−	0.102150i
$677$	1595.17	+	30437.7i	0.0905577	+	1.72794i	0.546092	+	0.837725i	$0.316115\pi$
$677$	1595.17	+	30437.7i	0.0905577	+	1.72794i	−0.455534	+	0.890218i	$0.650552\pi$
$678$	−13274.3	−	2102.45i	−0.751914	−	0.119091i
$679$	2443.30	+	216.192i	0.138093	+	0.0122190i
$680$	−28445.2	−	9474.75i	−1.60415	−	0.534324i
$681$	−1840.94	+	17515.4i	−0.103590	+	0.985595i
$682$	−289.651	−	1080.99i	−0.0162629	−	0.0606940i
$683$	−10896.3	+	28385.8i	−0.610447	+	1.59027i	0.183995	+	0.982927i	$0.441097\pi$
$683$	−10896.3	+	28385.8i	−0.610447	+	1.59027i	−0.794441	+	0.607341i	$0.792236\pi$
$684$	−3279.57	+	697.094i	−0.183330	+	0.0389679i
$685$	−12007.7	−	1992.67i	−0.669770	−	0.111147i
$686$	−4234.36	−	15992.2i	−0.235669	−	0.890066i
$687$	20040.9	−	10211.3i	1.11296	−	0.567084i
$688$	−9987.79	+	15379.9i	−0.553461	+	0.852255i
$689$	4149.67	+	882.039i	0.229448	+	0.0487707i
$690$	−21354.4	+	25976.7i	−1.17819	+	1.43321i
$691$	−6389.45	−	30060.0i	−0.351760	−	1.65490i	−0.697511	−	0.716574i	$-0.745709\pi$
$691$	−6389.45	−	30060.0i	−0.351760	−	1.65490i	0.345751	−	0.938326i	$-0.387624\pi$
$692$	3573.87	−	566.046i	0.196327	−	0.0310951i
$693$	8990.55	−	619.760i	0.492818	−	0.0339722i
$694$	−16250.7	+	22367.2i	−0.888859	+	1.22341i
$695$	−27368.0	+	5606.76i	−1.49371	+	0.306009i
$696$	−2048.02	+	215.255i	−0.111537	+	0.0117230i
$697$	−20517.8	+	25337.4i	−1.11502	+	1.37693i
$698$	273.861	−	14.3524i	0.0148507	−	0.000778291i
$699$	15259.2			0.825687
$700$	142.706	−	2815.96i	0.00770540	−	0.152047i
$701$	10261.1			0.552865			0.276432	−	0.961033i	$-0.410848\pi$
$701$	10261.1			0.552865			0.276432	+	0.961033i	$0.410848\pi$
$702$	416.725	−	21.8396i	0.0224050	−	0.00117419i
$703$	20080.3	−	24797.1i	1.07730	−	1.33035i
$704$	−9764.70	+	1026.31i	−0.522757	+	0.0549440i
$705$	14690.5	+	6670.81i	0.784790	+	0.356365i
$706$	12318.4	−	16954.8i	0.656670	−	0.903829i
$707$	5285.31	−	10809.4i	0.281152	−	0.575006i
$708$	−5142.25	+	814.453i	−0.272963	+	0.0432331i
$709$	436.219	+	2052.25i	0.0231066	+	0.108708i	0.988190	−	0.153236i	$-0.0489696\pi$
$709$	436.219	+	2052.25i	0.0231066	+	0.108708i	−0.965083	+	0.261944i	$0.915636\pi$
$710$	10054.6	+	15735.4i	0.531469	+	0.831748i
$711$	−27575.0	−	5861.24i	−1.45449	−	0.309162i
$712$	7400.61	−	11395.9i	0.389536	−	0.599832i
$713$	3428.59	−	1746.95i	0.180086	−	0.0917586i
$714$	31926.8	−	24009.1i	1.67343	−	1.25843i
$715$	645.302	+	4278.11i	0.0337524	+	0.223765i
$716$	642.263	−	136.517i	0.0335230	−	0.00712554i
$717$	−15165.4	+	39507.3i	−0.789908	+	2.05778i
$718$	−3765.41	−	14052.7i	−0.195716	−	0.730422i
$719$	−2062.34	+	19621.9i	−0.106971	+	1.01776i	0.800981	+	0.598690i	$0.204312\pi$
$719$	−2062.34	+	19621.9i	−0.106971	+	1.01776i	−0.907952	+	0.419074i	$0.862355\pi$
$720$	15733.2	−	4984.14i	0.814364	−	0.257983i
$721$	−17981.0	+	8363.09i	−0.928778	+	0.431980i
$722$	7271.27	+	1151.66i	0.374804	+	0.0593631i
$723$	814.563	+	15542.8i	0.0419003	+	0.799505i
$724$	1459.88	−	2528.58i	0.0749391	−	0.129798i
$725$	568.707	+	1329.75i	0.0291328	+	0.0681181i
$726$	17196.2	−	9928.23i	0.879078	−	0.507536i
$727$	−5743.34	−	2926.38i	−0.292997	−	0.149289i	0.301313	−	0.953525i	$-0.402575\pi$
$727$	−5743.34	−	2926.38i	−0.292997	−	0.149289i	−0.594310	+	0.804236i	$0.702575\pi$
$728$	−6349.62	−	7582.38i	−0.323259	−	0.386019i
$729$	−12386.5	−	17048.5i	−0.629298	−	0.866154i
$730$	−6404.63	+	3635.04i	−0.324720	+	0.184300i
$731$	−15788.8	−	35462.1i	−0.798862	−	1.79427i
$732$	−3724.32	+	997.929i	−0.188053	+	0.0503887i
$733$	16847.4	−	13642.7i	0.848939	−	0.687457i	−0.102688	−	0.994714i	$-0.532744\pi$
$733$	16847.4	−	13642.7i	0.848939	−	0.687457i	0.951627	+	0.307256i	$0.0994109\pi$
$734$	7520.57	−	23145.9i	0.378187	−	1.16394i
$735$	22546.5	+	17322.7i	1.13148	+	0.869329i
$736$	−2628.81	−	8090.63i	−0.131656	−	0.405197i
$737$	1323.90	+	859.754i	0.0661692	+	0.0429707i
$738$	1112.68	−	21231.2i	0.0554991	−	1.05899i
$739$	−621.187	+	2922.46i	−0.0309212	+	0.145473i	−0.990900	−	0.134600i	$-0.957025\pi$
$739$	−621.187	+	2922.46i	−0.0309212	+	0.145473i	0.959979	+	0.280072i	$0.0903585\pi$
$740$	2431.68	−	3684.72i	0.120798	−	0.183045i
$741$	15437.4	+	5015.93i	0.765329	+	0.248670i
$742$	−4882.04	+	7795.76i	−0.241544	+	0.385703i
$743$	−21852.7	+	21852.7i	−1.07900	+	1.07900i	−0.0824042	+	0.996599i	$0.526260\pi$
$743$	−21852.7	+	21852.7i	−1.07900	+	1.07900i	−0.996599	+	0.0824042i	$0.973740\pi$
$744$	−4372.64	−	459.583i	−0.215469	−	0.0226467i
$745$	9908.81	+	22704.4i	0.487289	+	1.11654i
$746$	−615.145	−	5852.71i	−0.0301904	−	0.287243i
$747$	6001.24	−	2303.66i	0.293941	−	0.112833i
$748$	1074.51	−	2108.85i	0.0525241	−	0.103084i
$749$	28712.6	+	5610.60i	1.40072	+	0.273707i
$750$	−15374.6	−	22176.3i	−0.748534	−	1.07968i
$751$	14877.0	+	25767.8i	0.722864	+	1.25204i	0.959847	+	0.280524i	$0.0905081\pi$
$751$	14877.0	+	25767.8i	0.722864	+	1.25204i	−0.236983	+	0.971514i	$0.576159\pi$
$752$	8614.43	−	5594.27i	0.417734	−	0.271280i
$753$	−26643.3	−	21575.3i	−1.28942	−	1.04416i
$754$	612.317	+	272.621i	0.0295747	+	0.0131675i
$755$	10088.0	+	7443.54i	0.486276	+	0.358806i
$756$	47.6588	−	155.336i	0.00229277	−	0.00747290i
$757$	23735.0	+	23735.0i	1.13958	+	1.13958i	0.988525	+	0.151056i	$0.0482674\pi$
$757$	23735.0	+	23735.0i	1.13958	+	1.13958i	0.151056	+	0.988525i	$0.451733\pi$
$758$	−5565.97	−	6873.41i	−0.266709	−	0.329358i
$759$	−13443.7	−	14930.8i	−0.642921	−	0.714036i
$760$	26367.2	+	1576.79i	1.25847	+	0.0752581i
$761$	26231.7	+	23619.1i	1.24954	+	1.12509i	0.987094	+	0.160141i	$0.0511948\pi$
$761$	26231.7	+	23619.1i	1.24954	+	1.12509i	0.262443	+	0.964948i	$0.415472\pi$
$762$	24940.9	+	48949.4i	1.18572	+	2.32710i
$763$	−23051.0	−	22304.1i	−1.09371	−	1.05827i
$764$	−92.4398	+	30.0355i	−0.00437743	+	0.00142231i
$765$	−9290.24	+	33676.9i	−0.439071	+	1.59162i
$766$	−22583.4	+	20334.2i	−1.06524	+	0.959143i
$767$	11973.5	+	4596.19i	0.563673	+	0.216374i
$768$	−3502.47	+

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:	\( N \)	\(=\)	\( 175 = 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	175.x (of order \(60\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.60067 + 0.136295i) q^{2} +(4.66596 - 5.76198i) q^{3} +(-1.21127 + 0.127309i) q^{4} +(1.25058 - 11.1102i) q^{5} +(-11.3493 + 15.6209i) q^{6} +(-1.27366 - 18.4764i) q^{7} +(23.7102 - 3.75532i) q^{8} +(-5.81561 - 27.3603i) q^{9} +(-1.73808 + 29.0644i) q^{10} +(-17.0160 - 3.61685i) q^{11} +(-4.91817 + 7.57332i) q^{12} +(19.8203 - 10.0990i) q^{13} +(5.83063 + 47.8775i) q^{14} +(-58.1814 - 59.0454i) q^{15} +(-51.6199 + 10.9721i) q^{16} +(40.0328 - 104.289i) q^{17} +(18.8536 + 70.3625i) q^{18} +(-10.2874 + 97.8778i) q^{19} +(-0.100358 + 13.6166i) q^{20} +(-112.404 - 78.8713i) q^{21} +(44.7458 + 7.08704i) q^{22} +(8.15245 + 155.558i) q^{23} +(88.9926 - 154.140i) q^{24} +(-121.872 - 27.7883i) q^{25} +(-50.1697 + 28.9655i) q^{26} +(-6.41822 - 3.27025i) q^{27} +(3.89497 + 22.2177i) q^{28} +(-6.80071 - 9.36037i) q^{29} +(159.358 + 145.628i) q^{30} +(-10.0475 - 22.5671i) q^{31} +(-52.7511 + 14.1346i) q^{32} +(-100.236 + 81.1695i) q^{33} +(-89.8979 + 276.677i) q^{34} +(-206.869 - 8.95561i) q^{35} +(10.5275 + 32.4003i) q^{36} +(-271.906 - 176.578i) q^{37} +(13.4138 - 255.950i) q^{38} +(34.2909 - 161.326i) q^{39} +(-12.0708 - 268.121i) q^{40} +(-277.574 - 90.1893i) q^{41} +(303.074 + 189.798i) q^{42} +(245.716 - 245.716i) q^{43} +(21.0713 + 2.21469i) q^{44} +(-311.251 + 30.3962i) q^{45} +(-42.4037 - 403.444i) q^{46} +(-181.708 + 69.7512i) q^{47} +(-177.635 + 348.628i) q^{48} +(-339.756 + 47.0655i) q^{49} +(320.737 + 55.6577i) q^{50} +(-414.119 - 717.276i) q^{51} +(-22.7221 + 14.7559i) q^{52} +(148.211 + 120.019i) q^{53} +(17.1374 + 7.63006i) q^{54} +(-61.4637 + 184.527i) q^{55} +(-99.5837 - 433.296i) q^{56} +(515.969 + 515.969i) q^{57} +(18.9622 + 23.4163i) q^{58} +(385.789 + 428.462i) q^{59} +(77.9904 + 64.1128i) q^{60} +(317.309 + 285.706i) q^{61} +(29.2061 + 57.3202i) q^{62} +(-498.113 + 142.299i) q^{63} +(536.783 - 174.411i) q^{64} +(-87.4144 - 232.837i) q^{65} +(249.618 - 224.757i) q^{66} +(-84.7160 - 32.5194i) q^{67} +(-35.2135 + 131.418i) q^{68} +(934.361 + 678.853i) q^{69} +(539.219 - 4.90471i) q^{70} +(518.857 - 376.972i) q^{71} +(-240.636 - 626.878i) q^{72} +(137.754 + 212.122i) q^{73} +(731.206 + 422.162i) q^{74} +(-728.766 + 572.565i) q^{75} -119.866i q^{76} +(-45.1538 + 319.000i) q^{77} +(-67.1912 + 424.229i) q^{78} +(409.928 - 920.714i) q^{79} +(57.3477 + 587.228i) q^{80} +(641.148 - 285.458i) q^{81} +(734.171 + 196.721i) q^{82} +(35.9505 + 226.983i) q^{83} +(146.192 + 81.2243i) q^{84} +(-1108.60 - 575.193i) q^{85} +(-605.536 + 672.516i) q^{86} +(-85.6660 - 4.48957i) q^{87} +(-417.034 - 21.8558i) q^{88} +(378.752 - 420.646i) q^{89} +(805.318 - 121.473i) q^{90} +(-211.837 - 353.346i) q^{91} +(-29.6788 - 187.385i) q^{92} +(-176.913 - 47.4036i) q^{93} +(463.056 - 206.166i) q^{94} +(1074.57 + 236.699i) q^{95} +(-164.691 + 369.902i) q^{96} +(-20.7184 + 130.811i) q^{97} +(877.177 - 168.709i) q^{98} +486.596i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 928 q - 8 q^{2} - 24 q^{3} - 10 q^{4} - 24 q^{7} + 84 q^{8} - 10 q^{9} - 96 q^{10} - 6 q^{11} - 72 q^{12} - 20 q^{14} - 368 q^{15} - 1670 q^{16} + 120 q^{17} - 14 q^{18} - 30 q^{19} - 12 q^{21} - 880 q^{22}+ \cdots - 19478 q^{98}+O(q^{100}) \) 928 * q - 8 * q^2 - 24 * q^3 - 10 * q^4 - 24 * q^7 + 84 * q^8 - 10 * q^9 - 96 * q^10 - 6 * q^11 - 72 * q^12 - 20 * q^14 - 368 * q^15 - 1670 * q^16 + 120 * q^17 - 14 * q^18 - 30 * q^19 - 12 * q^21 - 880 * q^22 + 296 * q^23 + 32 * q^25 - 48 * q^26 + 226 * q^28 - 200 * q^29 - 38 * q^30 - 18 * q^31 - 964 * q^32 - 1092 * q^33 + 288 * q^35 + 7400 * q^36 - 392 * q^37 + 5424 * q^38 + 2430 * q^39 + 2172 * q^40 - 2098 * q^42 + 1560 * q^43 - 10 * q^44 - 4224 * q^45 - 6 * q^46 + 96 * q^47 + 6232 * q^50 - 16 * q^51 - 8928 * q^52 - 2384 * q^53 - 30 * q^54 + 244 * q^56 + 1556 * q^57 + 640 * q^58 + 4890 * q^59 + 3676 * q^60 - 18 * q^61 + 224 * q^63 - 9700 * q^64 - 1116 * q^65 - 2610 * q^66 - 2404 * q^67 - 13614 * q^68 - 1700 * q^70 - 24 * q^71 - 518 * q^72 - 4200 * q^73 - 16104 * q^75 - 722 * q^77 - 356 * q^78 - 10 * q^79 + 6414 * q^80 - 6810 * q^81 + 1692 * q^82 + 20620 * q^84 + 2712 * q^85 - 6 * q^86 + 9102 * q^87 + 1650 * q^88 + 20370 * q^89 - 12 * q^91 + 1612 * q^92 - 4604 * q^93 - 30 * q^94 + 1652 * q^95 - 2610 * q^96 - 19478 * q^98

Introduction

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