LMFDB - Embedded newform 38.4.e.a.9.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [38,4,Mod(5,38)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(38, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([16]))

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

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

chi := DirichletCharacter("38.5");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 38 = 2 \cdot 19 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	38.e (of order $9$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.24207258022$
Analytic rank:	$0$
Dimension:	$12$
Relative dimension:	$2$ over $\Q(\zeta_{9})$
Coefficient field:	$\mathbb{Q}[x]/(x^{12} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} - 6 x^{11} - 135 x^{10} + 730 x^{9} + 7953 x^{8} - 36258 x^{7} - 262940 x^{6} + 918855 x^{5} + \cdots + 272110107 $ x^12 - 6x^11 - 135x^10 + 730x^9 + 7953x^8 - 36258x^7 - 262940x^6 + 918855x^5 + 5157591x^4 - 11890401x^3 - 56759508x^2 + 62864118*x + 272110107
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			9.2
Root			$-4.30460 - 0.984808i$ of defining polynomial
Character	$\chi$	$=$	38.9
Dual form			38.4.e.a.17.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.347296 + 1.96962i) q^{2} +(2.93054 - 2.45902i) q^{3} +(-3.75877 + 1.36808i) q^{4} +(14.2818 + 5.19813i) q^{5} +(5.86108 + 4.91803i) q^{6} +(-0.806634 + 1.39713i) q^{7} +(-4.00000 - 6.92820i) q^{8} +(-2.14719 + 12.1773i) q^{9} +O(q^{10})$	\(q+(0.347296 + 1.96962i) q^{2} +(2.93054 - 2.45902i) q^{3} +(-3.75877 + 1.36808i) q^{4} +(14.2818 + 5.19813i) q^{5} +(5.86108 + 4.91803i) q^{6} +(-0.806634 + 1.39713i) q^{7} +(-4.00000 - 6.92820i) q^{8} +(-2.14719 + 12.1773i) q^{9} +(-5.27832 + 29.9349i) q^{10} +(-19.2603 - 33.3598i) q^{11} +(-7.65110 + 13.2521i) q^{12} +(-3.06062 - 2.56816i) q^{13} +(-3.03195 - 1.10354i) q^{14} +(54.6355 - 19.8857i) q^{15} +(12.2567 - 10.2846i) q^{16} +(-15.5204 - 88.0204i) q^{17} -24.7304 q^{18} +(-77.1453 - 30.1265i) q^{19} -60.7933 q^{20} +(1.07169 + 6.07787i) q^{21} +(59.0169 - 49.5211i) q^{22} +(-63.4335 + 23.0879i) q^{23} +(-28.7587 - 10.4673i) q^{24} +(81.1923 + 68.1284i) q^{25} +(3.99535 - 6.92015i) q^{26} +(75.2967 + 130.418i) q^{27} +(1.12056 - 6.35503i) q^{28} +(-46.2659 + 262.387i) q^{29} +(58.1419 + 100.705i) q^{30} +(95.4652 - 165.351i) q^{31} +(24.5134 + 20.5692i) q^{32} +(-138.475 - 50.4009i) q^{33} +(167.976 - 61.1383i) q^{34} +(-18.7826 + 15.7605i) q^{35} +(-8.58876 - 48.7093i) q^{36} +137.719 q^{37} +(32.5453 - 162.409i) q^{38} -15.2844 q^{39} +(-21.1133 - 119.739i) q^{40} +(-189.962 + 159.397i) q^{41} +(-11.5989 + 4.22164i) q^{42} +(260.732 + 94.8987i) q^{43} +(118.034 + 99.0422i) q^{44} +(-93.9650 + 162.752i) q^{45} +(-67.5045 - 116.921i) q^{46} +(64.1805 - 363.985i) q^{47} +(10.6288 - 60.2789i) q^{48} +(170.199 + 294.793i) q^{49} +(-105.989 + 183.578i) q^{50} +(-261.927 - 219.782i) q^{51} +(15.0176 + 5.46596i) q^{52} +(-383.283 + 139.504i) q^{53} +(-230.722 + 193.599i) q^{54} +(-101.662 - 576.554i) q^{55} +12.9061 q^{56} +(-300.159 + 101.414i) q^{57} -532.869 q^{58} +(-102.217 - 579.700i) q^{59} +(-178.157 + 149.492i) q^{60} +(757.876 - 275.844i) q^{61} +(358.832 + 130.604i) q^{62} +(-15.2813 - 12.8225i) q^{63} +(-32.0000 + 55.4256i) q^{64} +(-30.3613 - 52.5873i) q^{65} +(51.1784 - 290.247i) q^{66} +(-35.5080 + 201.376i) q^{67} +(178.756 + 309.615i) q^{68} +(-129.121 + 223.644i) q^{69} +(-37.5652 - 31.5210i) q^{70} +(671.014 + 244.229i) q^{71} +(92.9558 - 33.8331i) q^{72} +(81.6202 - 68.4875i) q^{73} +(47.8293 + 271.253i) q^{74} +405.466 q^{75} +(331.187 + 7.69764i) q^{76} +62.1440 q^{77} +(-5.30822 - 30.1044i) q^{78} +(-393.010 + 329.775i) q^{79} +(228.508 - 83.1701i) q^{80} +(227.633 + 82.8518i) q^{81} +(-379.924 - 318.794i) q^{82} +(-439.020 + 760.404i) q^{83} +(-12.3433 - 21.3792i) q^{84} +(235.884 - 1337.76i) q^{85} +(-96.3626 + 546.500i) q^{86} +(509.629 + 882.704i) q^{87} +(-154.082 + 266.878i) q^{88} +(362.075 + 303.817i) q^{89} +(-353.193 - 128.552i) q^{90} +(6.05685 - 2.20451i) q^{91} +(206.846 - 173.564i) q^{92} +(-126.835 - 719.317i) q^{93} +739.201 q^{94} +(-945.168 - 831.271i) q^{95} +122.418 q^{96} +(285.092 + 1616.84i) q^{97} +(-521.519 + 437.606i) q^{98} +(447.589 - 162.909i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q - 9 q^{3} - 18 q^{6} + 21 q^{7} - 48 q^{8} - 27 q^{9}+O(q^{10}) $ 12 * q - 9 * q^3 - 18 * q^6 + 21 * q^7 - 48 * q^8 - 27 * q^9	\( 12 q - 9 q^{3} - 18 q^{6} + 21 q^{7} - 48 q^{8} - 27 q^{9} - 9 q^{11} + 36 q^{12} + 39 q^{13} - 138 q^{14} + 423 q^{15} + 69 q^{17} + 132 q^{18} - 462 q^{19} - 216 q^{20} - 279 q^{21} + 204 q^{22} - 66 q^{23} - 72 q^{24} + 342 q^{25} + 48 q^{26} + 189 q^{27} + 192 q^{28} + 159 q^{29} + 72 q^{31} - 1560 q^{33} + 408 q^{34} - 135 q^{35} - 108 q^{36} + 1116 q^{37} - 294 q^{38} - 1248 q^{39} + 147 q^{41} + 414 q^{42} - 117 q^{43} + 408 q^{44} + 1296 q^{45} + 528 q^{46} + 783 q^{47} + 288 q^{48} + 1413 q^{49} - 354 q^{50} - 2301 q^{51} - 348 q^{52} - 249 q^{53} - 540 q^{54} + 2187 q^{55} - 336 q^{56} - 2670 q^{57} - 1932 q^{58} - 4248 q^{59} + 324 q^{60} + 3114 q^{61} - 438 q^{62} + 363 q^{63} - 384 q^{64} + 495 q^{65} + 822 q^{66} + 3060 q^{67} + 408 q^{68} - 237 q^{69} - 270 q^{70} + 1686 q^{71} + 432 q^{72} + 1626 q^{73} + 90 q^{74} - 1854 q^{75} - 1416 q^{77} - 108 q^{78} - 327 q^{79} + 3483 q^{81} + 294 q^{82} + 927 q^{83} + 204 q^{84} - 3294 q^{85} + 1188 q^{86} + 2892 q^{87} - 72 q^{88} - 6366 q^{89} - 5076 q^{90} + 840 q^{91} - 156 q^{92} + 870 q^{93} + 3432 q^{94} + 513 q^{95} - 576 q^{96} - 8052 q^{97} + 378 q^{98} + 4494 q^{99}+O(q^{100}) \) 12 * q - 9 * q^3 - 18 * q^6 + 21 * q^7 - 48 * q^8 - 27 * q^9 - 9 * q^11 + 36 * q^12 + 39 * q^13 - 138 * q^14 + 423 * q^15 + 69 * q^17 + 132 * q^18 - 462 * q^19 - 216 * q^20 - 279 * q^21 + 204 * q^22 - 66 * q^23 - 72 * q^24 + 342 * q^25 + 48 * q^26 + 189 * q^27 + 192 * q^28 + 159 * q^29 + 72 * q^31 - 1560 * q^33 + 408 * q^34 - 135 * q^35 - 108 * q^36 + 1116 * q^37 - 294 * q^38 - 1248 * q^39 + 147 * q^41 + 414 * q^42 - 117 * q^43 + 408 * q^44 + 1296 * q^45 + 528 * q^46 + 783 * q^47 + 288 * q^48 + 1413 * q^49 - 354 * q^50 - 2301 * q^51 - 348 * q^52 - 249 * q^53 - 540 * q^54 + 2187 * q^55 - 336 * q^56 - 2670 * q^57 - 1932 * q^58 - 4248 * q^59 + 324 * q^60 + 3114 * q^61 - 438 * q^62 + 363 * q^63 - 384 * q^64 + 495 * q^65 + 822 * q^66 + 3060 * q^67 + 408 * q^68 - 237 * q^69 - 270 * q^70 + 1686 * q^71 + 432 * q^72 + 1626 * q^73 + 90 * q^74 - 1854 * q^75 - 1416 * q^77 - 108 * q^78 - 327 * q^79 + 3483 * q^81 + 294 * q^82 + 927 * q^83 + 204 * q^84 - 3294 * q^85 + 1188 * q^86 + 2892 * q^87 - 72 * q^88 - 6366 * q^89 - 5076 * q^90 + 840 * q^91 - 156 * q^92 + 870 * q^93 + 3432 * q^94 + 513 * q^95 - 576 * q^96 - 8052 * q^97 + 378 * q^98 + 4494 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/38\mathbb{Z}\right)^\times$.

$n$	$21$
$\chi(n)$	$e\left(\frac{4}{9}\right)$

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 $

$2$	0.347296	+	1.96962i	0.122788	+	0.696364i
$2$	0.347296	+	1.96962i	0.122788	+	0.696364i
$3$	2.93054	−	2.45902i	0.563983	−	0.473238i	−0.315660	−	0.948872i	$-0.602226\pi$
$3$	2.93054	−	2.45902i	0.563983	−	0.473238i	0.879643	+	0.475635i	$0.157782\pi$
$4$	−3.75877	+	1.36808i	−0.469846	+	0.171010i
$5$	14.2818	+	5.19813i	1.27740	+	0.464935i	0.889571	−	0.456797i	$-0.151003\pi$
$5$	14.2818	+	5.19813i	1.27740	+	0.464935i	0.387828	+	0.921732i	$0.373226\pi$
$6$	5.86108	+	4.91803i	0.398796	+	0.334630i
$7$	−0.806634	+	1.39713i	−0.0435541	+	0.0754379i	−0.886981	−	0.461807i	$-0.847201\pi$
$7$	−0.806634	+	1.39713i	−0.0435541	+	0.0754379i	0.843427	+	0.537245i	$0.180535\pi$
$8$	−4.00000	−	6.92820i	−0.176777	−	0.306186i
$9$	−2.14719	+	12.1773i	−0.0795256	+	0.451012i
$10$	−5.27832	+	29.9349i	−0.166915	+	0.946623i
$11$	−19.2603	−	33.3598i	−0.527927	−	0.914396i	−0.999470	−	0.0325530i	$-0.989636\pi$
$11$	−19.2603	−	33.3598i	−0.527927	−	0.914396i	0.471543	−	0.881843i	$-0.343697\pi$
$12$	−7.65110	+	13.2521i	−0.184057	+	0.318796i
$13$	−3.06062	−	2.56816i	−0.0652971	−	0.0547908i	0.609555	−	0.792744i	$-0.291348\pi$
$13$	−3.06062	−	2.56816i	−0.0652971	−	0.0547908i	−0.674852	+	0.737953i	$0.735793\pi$
$14$	−3.03195	−	1.10354i	−0.0578802	−	0.0210667i
$15$	54.6355	−	19.8857i	0.940456	−	0.342298i
$16$	12.2567	−	10.2846i	0.191511	−	0.160697i
$17$	−15.5204	−	88.0204i	−0.221426	−	1.25577i	−0.869401	−	0.494108i	$-0.835495\pi$
$17$	−15.5204	−	88.0204i	−0.221426	−	1.25577i	0.647975	−	0.761662i	$-0.275616\pi$
$18$	−24.7304			−0.323833
$19$	−77.1453	−	30.1265i	−0.931492	−	0.363763i
$19$	−77.1453	−	30.1265i	−0.931492	−	0.363763i
$20$	−60.7933			−0.679690
$21$	1.07169	+	6.07787i	0.0111363	+	0.0631571i
$22$	59.0169	−	49.5211i	0.571930	−	0.479906i
$23$	−63.4335	+	23.0879i	−0.575078	+	0.209311i	−0.613154	−	0.789964i	$-0.710099\pi$
$23$	−63.4335	+	23.0879i	−0.575078	+	0.209311i	0.0380759	+	0.999275i	$0.487877\pi$
$24$	−28.7587	−	10.4673i	−0.244598	−	0.0890263i
$25$	81.1923	+	68.1284i	0.649538	+	0.545027i
$26$	3.99535	−	6.92015i	0.0301366	−	0.0521982i
$27$	75.2967	+	130.418i	0.536698	+	0.929589i
$28$	1.12056	−	6.35503i	0.00756309	−	0.0428924i
$29$	−46.2659	+	262.387i	−0.296254	+	1.68014i	0.365808	+	0.930690i	$0.380793\pi$
$29$	−46.2659	+	262.387i	−0.296254	+	1.68014i	−0.662062	+	0.749449i	$0.730319\pi$
$30$	58.1419	+	100.705i	0.353840	+	0.612870i
$31$	95.4652	−	165.351i	0.553098	−	0.957994i	−0.444950	−	0.895555i	$-0.646779\pi$
$31$	95.4652	−	165.351i	0.553098	−	0.957994i	0.998049	−	0.0624392i	$-0.0198880\pi$
$32$	24.5134	+	20.5692i	0.135419	+	0.113630i
$33$	−138.475	−	50.4009i	−0.730468	−	0.265869i
$34$	167.976	−	61.1383i	0.847284	−	0.308386i
$35$	−18.7826	+	15.7605i	−0.0907097	+	0.0761145i
$36$	−8.58876	−	48.7093i	−0.0397628	−	0.225506i
$37$	137.719			0.611915			0.305957	−	0.952045i	$-0.401023\pi$
$37$	137.719			0.611915			0.305957	+	0.952045i	$0.401023\pi$
$38$	32.5453	−	162.409i	0.138936	−	0.693323i
$39$	−15.2844			−0.0627555
$40$	−21.1133	−	119.739i	−0.0834576	−	0.473312i
$41$	−189.962	+	159.397i	−0.723587	+	0.607161i	−0.928375	−	0.371645i	$-0.878794\pi$
$41$	−189.962	+	159.397i	−0.723587	+	0.607161i	0.204788	+	0.978806i	$0.434349\pi$
$42$	−11.5989	+	4.22164i	−0.0426130	+	0.0155099i
$43$	260.732	+	94.8987i	0.924680	+	0.336556i	0.760099	−	0.649807i	$-0.225150\pi$
$43$	260.732	+	94.8987i	0.924680	+	0.336556i	0.164581	+	0.986364i	$0.447373\pi$
$44$	118.034	+	99.0422i	0.404415	+	0.339345i
$45$	−93.9650	+	162.752i	−0.311277	+	0.539148i
$46$	−67.5045	−	116.921i	−0.216369	−	0.374763i
$47$	64.1805	−	363.985i	0.199185	−	1.12963i	−0.707147	−	0.707066i	$-0.750018\pi$
$47$	64.1805	−	363.985i	0.199185	−	1.12963i	0.906332	−	0.422566i	$-0.138871\pi$
$48$	10.6288	−	60.2789i	0.0319611	−	0.181261i
$49$	170.199	+	294.793i	0.496206	+	0.859454i
$50$	−105.989	+	183.578i	−0.299782	+	0.519238i
$51$	−261.927	−	219.782i	−0.719158	−	0.603445i
$52$	15.0176	+	5.46596i	0.0400494	+	0.0145768i
$53$	−383.283	+	139.504i	−0.993358	+	0.361553i	−0.787019	−	0.616928i	$-0.788377\pi$
$53$	−383.283	+	139.504i	−0.993358	+	0.361553i	−0.206338	+	0.978481i	$0.566155\pi$
$54$	−230.722	+	193.599i	−0.581432	+	0.487880i
$55$	−101.662	−	576.554i	−0.249238	−	1.41350i
$56$	12.9061			0.0307974
$57$	−300.159	+	101.414i	−0.697491	+	0.235661i
$58$	−532.869			−1.20637
$59$	−102.217	−	579.700i	−0.225551	−	1.27916i	−0.861630	−	0.507538i	$-0.830556\pi$
$59$	−102.217	−	579.700i	−0.225551	−	1.27916i	0.636079	−	0.771624i	$-0.280555\pi$
$60$	−178.157	+	149.492i	−0.383333	+	0.321655i
$61$	757.876	−	275.844i	1.59076	−	0.578988i	0.613249	−	0.789890i	$-0.289862\pi$
$61$	757.876	−	275.844i	1.59076	−	0.578988i	0.977507	+	0.210902i	$0.0676401\pi$
$62$	358.832	+	130.604i	0.735027	+	0.267528i
$63$	−15.2813	−	12.8225i	−0.0305598	−	0.0256427i
$64$	−32.0000	+	55.4256i	−0.0625000	+	0.108253i
$65$	−30.3613	−	52.5873i	−0.0579363	−	0.100349i
$66$	51.1784	−	290.247i	0.0954488	−	0.541317i
$67$	−35.5080	+	201.376i	−0.0647461	+	0.367194i	0.935169	+	0.354201i	$0.115247\pi$
$67$	−35.5080	+	201.376i	−0.0647461	+	0.367194i	−0.999916	+	0.0129929i	$0.995864\pi$
$68$	178.756	+	309.615i	0.318785	+	0.552153i
$69$	−129.121	+	223.644i	−0.225280	+	0.390196i
$70$	−37.5652	−	31.5210i	−0.0641415	−	0.0538211i
$71$	671.014	+	244.229i	1.12162	+	0.408235i	0.835242	−	0.549883i	$-0.185328\pi$
$71$	671.014	+	244.229i	1.12162	+	0.408235i	0.286375	+	0.958118i	$0.407550\pi$
$72$	92.9558	−	33.8331i	0.152152	−	0.0553788i
$73$	81.6202	−	68.4875i	0.130862	−	0.109806i	−0.575008	−	0.818148i	$-0.695001\pi$
$73$	81.6202	−	68.4875i	0.130862	−	0.109806i	0.705870	+	0.708342i	$0.250556\pi$
$74$	47.8293	+	271.253i	0.0751357	+	0.426116i
$75$	405.466			0.624256
$76$	331.187	+	7.69764i	0.499865	+	0.0116182i
$77$	62.1440			0.0919735
$78$	−5.30822	−	30.1044i	−0.00770561	−	0.0437007i
$79$	−393.010	+	329.775i	−0.559710	+	0.469653i	−0.878213	−	0.478269i	$-0.841264\pi$
$79$	−393.010	+	329.775i	−0.559710	+	0.469653i	0.318503	+	0.947922i	$0.396820\pi$
$80$	228.508	−	83.1701i	0.319350	−	0.116234i
$81$	227.633	+	82.8518i	0.312254	+	0.113651i
$82$	−379.924	−	318.794i	−0.511653	−	0.429328i
$83$	−439.020	+	760.404i	−0.580586	+	1.00561i	0.414823	+	0.909902i	$0.363843\pi$
$83$	−439.020	+	760.404i	−0.580586	+	1.00561i	−0.995410	+	0.0957033i	$0.969490\pi$
$84$	−12.3433	−	21.3792i	−0.0160329	−	0.0277697i
$85$	235.884	−	1337.76i	0.301002	−	1.70707i
$86$	−96.3626	+	546.500i	−0.120826	+	0.685239i
$87$	509.629	+	882.704i	0.628023	+	1.08777i
$88$	−154.082	+	266.878i	−0.186650	+	0.323288i
$89$	362.075	+	303.817i	0.431234	+	0.361848i	0.832417	−	0.554149i	$-0.186956\pi$
$89$	362.075	+	303.817i	0.431234	+	0.361848i	−0.401183	+	0.915998i	$0.631401\pi$
$90$	−353.193	−	128.552i	−0.413664	−	0.150562i
$91$	6.05685	−	2.20451i	0.00697726	−	0.00253952i
$92$	206.846	−	173.564i	0.234404	−	0.196688i
$93$	−126.835	−	719.317i	−0.141421	−	0.802039i
$94$	739.201			0.811093
$95$	−945.168	−	831.271i	−1.02076	−	0.897753i
$96$	122.418			0.130148
$97$	285.092	+	1616.84i	0.298419	+	1.69242i	0.652970	+	0.757384i	$0.273523\pi$
$97$	285.092	+	1616.84i	0.298419	+	1.69242i	−0.354551	+	0.935037i	$0.615366\pi$
$98$	−521.519	+	437.606i	−0.537565	+	0.451071i
$99$	447.589	−	162.909i	0.454387	−	0.165383i
$100$	−398.388	−	145.002i	−0.398388	−	0.145002i
$101$	−1242.95	−	1042.96i	−1.22454	−	1.02751i	−0.998575	−	0.0533740i	$-0.983002\pi$
$101$	−1242.95	−	1042.96i	−1.22454	−	1.02751i	−0.225964	−	0.974136i	$-0.572553\pi$
$102$	341.921	−	592.224i	0.331914	−	0.574891i
$103$	49.5297	+	85.7879i	0.0473816	+	0.0820673i	0.888744	−	0.458405i	$-0.151579\pi$
$103$	49.5297	+	85.7879i	0.0473816	+	0.0820673i	−0.841362	+	0.540472i	$0.818246\pi$
$104$	−5.55028	+	31.4772i	−0.00523317	+	0.0296788i
$105$	−16.2879	+	92.3734i	−0.0151385	+	0.0858545i
$106$	−407.881	−	706.471i	−0.373744	−	0.647344i
$107$	−850.648	+	1473.37i	−0.768554	+	1.33117i	0.169793	+	0.985480i	$0.445690\pi$
$107$	−850.648	+	1473.37i	−0.768554	+	1.33117i	−0.938347	+	0.345695i	$0.887643\pi$
$108$	−461.445	−	387.198i	−0.411135	−	0.344983i
$109$	−1142.28	−	415.758i	−1.00377	−	0.365343i	−0.212733	−	0.977110i	$-0.568237\pi$
$109$	−1142.28	−	415.758i	−1.00377	−	0.365343i	−0.791038	+	0.611768i	$0.790459\pi$
$110$	1100.28	−	400.470i	0.953707	−	0.347121i
$111$	403.591	−	338.653i	0.345109	−	0.289581i
$112$	4.48225	+	25.4201i	0.00378155	+	0.0214462i
$113$	1228.73			1.02291			0.511457	−	0.859309i	$-0.329106\pi$
$113$	1228.73			1.02291			0.511457	+	0.859309i	$0.329106\pi$
$114$	−303.992	−	555.977i	−0.249749	−	0.456772i
$115$	−1025.95			−0.831920
$116$	−185.064	−	1049.55i	−0.148127	−	0.840069i
$117$	37.8451	−	31.7558i	0.0299041	−	0.0250925i
$118$	1106.29	−	402.655i	0.863067	−	0.314131i
$119$	135.495	+	49.3162i	0.104377	+	0.0379900i
$120$	−356.314	−	298.983i	−0.271057	−	0.227444i
$121$	−76.4170	+	132.358i	−0.0574132	+	0.0994427i
$122$	806.515	+	1396.92i	0.598512	+	1.03665i
$123$	−164.731	+	934.238i	−0.120759	+	0.684857i
$124$	−132.619	+	752.119i	−0.0960445	+	0.544696i
$125$	−144.468	−	250.225i	−0.103373	−	0.179047i
$126$	19.9483	−	34.5515i	0.0141043	−	0.0244293i
$127$	−442.286	−	371.122i	−0.309028	−	0.259305i	0.475062	−	0.879952i	$-0.342426\pi$
$127$	−442.286	−	371.122i	−0.309028	−	0.259305i	−0.784090	+	0.620647i	$0.786870\pi$
$128$	−120.281	−	43.7786i	−0.0830579	−	0.0302306i
$129$	997.443	−	363.039i	0.680775	−	0.247782i
$130$	93.0325	−	78.0635i	0.0627653	−	0.0526663i
$131$	−459.283	−	2604.72i	−0.306319	−	1.73722i	−0.617232	−	0.786781i	$-0.711746\pi$
$131$	−459.283	−	2604.72i	−0.306319	−	1.73722i	0.310913	−	0.950438i	$-0.399365\pi$
$132$	589.449			0.388674
$133$	104.319	−	83.4810i	0.0680118	−	0.0544264i
$134$	−408.965			−0.263651
$135$	397.440	+	2254.00i	0.253379	+	1.43699i
$136$	−547.742	+	459.610i	−0.345356	+	0.289788i
$137$	−397.518	+	144.685i	−0.247899	+	0.0902280i	−0.462981	−	0.886368i	$-0.653220\pi$
$137$	−397.518	+	144.685i	−0.247899	+	0.0902280i	0.215082	+	0.976596i	$0.430998\pi$
$138$	−485.336	−	176.648i	−0.299380	−	0.108966i
$139$	1055.16	+	885.385i	0.643867	+	0.540269i	0.905203	−	0.424979i	$-0.139719\pi$
$139$	1055.16	+	885.385i	0.643867	+	0.540269i	−0.261336	+	0.965248i	$0.584163\pi$
$140$	49.0379	−	84.9361i	0.0296033	−	0.0512744i
$141$	−706.962	−	1224.49i	−0.422248	−	0.731355i
$142$	−247.997	+	1406.46i	−0.146559	+	0.831180i
$143$	−26.7250	+	151.565i	−0.0156284	+	0.0886329i
$144$	98.9214	+	171.337i	0.0572462	+	0.0991533i
$145$	−2024.68	+	3506.85i	−1.15959	+	2.00847i
$146$	163.240	+	136.975i	0.0925334	+	0.0776448i
$147$	1223.67	+	445.381i	0.686578	+	0.249894i
$148$	−517.654	+	188.411i	−0.287506	+	0.104644i
$149$	2633.00	−	2209.35i	1.44768	−	1.21475i	0.513426	−	0.858134i	$-0.328376\pi$
$149$	2633.00	−	2209.35i	1.44768	−	1.21475i	0.934252	−	0.356613i	$-0.116068\pi$
$150$	140.817	+	798.612i	0.0766510	+	0.434709i
$151$	968.182			0.521785			0.260892	−	0.965368i	$-0.415983\pi$
$151$	968.182			0.521785			0.260892	+	0.965368i	$0.415983\pi$
$152$	99.8586	+	654.984i	0.0532869	+	0.349515i
$153$	1105.18			0.583976
$154$	21.5824	+	122.400i	0.0112932	+	0.0640471i
$155$	2222.92	−	1865.25i	1.15193	−	0.966586i
$156$	57.4506	−	20.9103i	0.0294854	−	0.0107318i
$157$	1576.54	+	573.812i	0.801409	+	0.291689i	0.710070	−	0.704131i	$-0.248663\pi$
$157$	1576.54	+	573.812i	0.801409	+	0.291689i	0.0913388	+	0.995820i	$0.470885\pi$
$158$	−786.021	−	659.550i	−0.395775	−	0.332095i
$159$	−780.184	+	1351.32i	−0.389136	+	0.674004i
$160$	243.173	+	421.188i	0.120153	+	0.208112i
$161$	18.9108	−	107.248i	0.00925700	−	0.0524991i
$162$	−84.1299	+	477.124i	−0.0408017	+	0.231398i
$163$	437.165	+	757.192i	0.210070	+	0.363852i	0.951736	−	0.306917i	$-0.0992975\pi$
$163$	437.165	+	757.192i	0.210070	+	0.363852i	−0.741666	+	0.670769i	$0.765964\pi$
$164$	495.955	−	859.020i	0.236144	−	0.409013i
$165$	−1715.68	−	1439.63i	−0.809487	−	0.679241i
$166$	−1650.17	−	600.614i	−0.771556	−	0.280824i
$167$	−2527.16	+	919.810i	−1.17100	+	0.426210i	−0.853016	−	0.521885i	$-0.825229\pi$
$167$	−2527.16	+	919.810i	−1.17100	+	0.426210i	−0.317986	+	0.948095i	$0.603007\pi$
$168$	37.8219	−	31.7364i	0.0173692	−	0.0145745i
$169$	−378.733	−	2147.90i	−0.172386	−	0.977652i
$170$	2716.80			1.22570
$171$	532.506	−	874.736i	0.238139	−	0.391186i
$172$	−1109.86			−0.492012
$173$	−315.297	−	1788.14i	−0.138564	−	0.785837i	−0.972311	−	0.233690i	$-0.924920\pi$
$173$	−315.297	−	1788.14i	−0.138564	−	0.785837i	0.833747	−	0.552147i	$-0.186191\pi$
$174$	−1561.59	+	1310.33i	−0.680369	+	0.570897i
$175$	−160.677	+	58.4815i	−0.0694058	+	0.0252616i
$176$	−579.160	−	210.797i	−0.248044	−	0.0902808i
$177$	−1725.04	−	1447.48i	−0.732554	−	0.614686i
$178$	−472.655	+	818.662i	−0.199028	+	0.344727i
$179$	186.205	+	322.517i	0.0777521	+	0.134671i	0.902280	−	0.431151i	$-0.141892\pi$
$179$	186.205	+	322.517i	0.0777521	+	0.134671i	−0.824528	+	0.565822i	$0.808559\pi$
$180$	130.535	−	740.300i	0.0540527	−	0.306548i
$181$	373.294	−	2117.06i	0.153297	−	0.869389i	−0.807030	−	0.590511i	$-0.798926\pi$
$181$	373.294	−	2117.06i	0.153297	−	0.869389i	0.960326	−	0.278878i	$-0.0899626\pi$
$182$	6.44557	+	11.1641i	0.00262515	+	0.00454689i
$183$	1542.68	−	2672.00i	0.623160	−	1.07934i
$184$	413.691	+	347.128i	0.165749	+	0.139080i
$185$	1966.87	+	715.881i	0.781659	+	0.284501i
$186$	1372.73	−	499.632i	0.541147	−	0.196961i
$187$	−2637.41	+	2213.05i	−1.03137	+	0.865425i
$188$	256.722	+	1455.94i	0.0995924	+	0.564816i
$189$	−242.947			−0.0935017
$190$	1309.03	−	2150.32i	0.499826	−	0.821054i
$191$	−3291.72			−1.24702			−0.623509	−	0.781816i	$-0.714293\pi$
$191$	−3291.72			−1.24702			−0.623509	+	0.781816i	$0.714293\pi$
$192$	42.5152	+	241.115i	0.0159806	+	0.0906303i
$193$	−321.207	+	269.525i	−0.119798	+	0.100522i	−0.700718	−	0.713438i	$-0.747137\pi$
$193$	−321.207	+	269.525i	−0.119798	+	0.100522i	0.580921	+	0.813960i	$0.302693\pi$
$194$	−3085.53	+	1123.04i	−1.14190	+	0.415617i
$195$	−218.288	−	79.4504i	−0.0801638	−	0.0291772i
$196$	−1043.04	−	875.213i	−0.380116	−	0.318955i
$197$	−1017.65	+	1762.63i	−0.368044	+	0.637471i	−0.989260	−	0.146168i	$-0.953306\pi$
$197$	−1017.65	+	1762.63i	−0.368044	+	0.637471i	0.621215	+	0.783640i	$0.286639\pi$
$198$	476.314	+	825.000i	0.170960	+	0.296112i
$199$	−440.599	+	2498.76i	−0.156951	+	0.890114i	0.800029	+	0.599961i	$0.204817\pi$
$199$	−440.599	+	2498.76i	−0.156951	+	0.890114i	−0.956980	+	0.290153i	$0.906294\pi$
$200$	147.238	−	835.030i	0.0520566	−	0.295228i
$201$	391.129	+	677.454i	0.137254	+	0.237731i
$202$	1622.56	−	2810.35i	0.565163	−	0.978890i
$203$	−329.269	−	276.290i	−0.113843	−	0.0955257i
$204$	1285.20	+	467.775i	0.441089	+	0.160543i
$205$	−3541.55	+	1289.02i	−1.20660	+	0.439166i
$206$	−151.768	+	127.348i	−0.0513309	+	0.0430717i
$207$	−144.945	−	822.024i	−0.0486685	−	0.276013i
$208$	−63.9256			−0.0213098
$209$	480.826	+	3153.80i	0.159136	+	1.04379i
$210$	−187.597			−0.0616448
$211$	−230.987	−	1309.99i	−0.0753639	−	0.427410i	−0.999023	−	0.0441946i	$-0.985928\pi$
$211$	−230.987	−	1309.99i	−0.0753639	−	0.427410i	0.923659	−	0.383215i	$-0.125183\pi$
$212$	1249.82	−	1048.72i	0.404896	−	0.339748i
$213$	2567.00	−	934.311i	0.825764	−	0.300554i
$214$	−3197.39	−	1163.76i	−1.02135	−	0.371742i
$215$	3230.41	+	2710.64i	1.02471	+	0.859832i
$216$	602.374	−	1043.34i	0.189752	−	0.328659i
$217$	154.011	+	266.755i	0.0481794	+	0.0834492i
$218$	422.171	−	2394.25i	0.131161	−	0.743850i
$219$	70.7796	−	401.411i	0.0218394	−	0.123858i
$220$	1170.90	+	2028.05i	0.358826	+	0.621505i
$221$	−178.549	+	309.255i	−0.0543461	+	0.0941302i
$222$	807.182	+	677.306i	0.244029	+	0.204765i
$223$	2738.39	+	996.691i	0.822314	+	0.299298i	0.718700	−	0.695320i	$-0.244737\pi$
$223$	2738.39	+	996.691i	0.822314	+	0.299298i	0.103613	+	0.994618i	$0.466960\pi$
$224$	−48.5112	+	17.6566i	−0.0144700	+	0.00526667i
$225$	−1003.96	+	842.420i	−0.297469	+	0.249606i
$226$	426.734	+	2420.13i	0.125601	+	0.712321i
$227$	−808.460			−0.236385			−0.118192	−	0.992991i	$-0.537710\pi$
$227$	−808.460			−0.236385			−0.118192	+	0.992991i	$0.537710\pi$
$228$	989.485	−	791.835i	0.287413	−	0.230003i
$229$	4517.68			1.30365			0.651827	−	0.758368i	$-0.274003\pi$
$229$	4517.68			1.30365			0.651827	+	0.758368i	$0.274003\pi$
$230$	−356.310	−	2020.74i	−0.102150	−	0.579319i
$231$	182.115	−	152.813i	0.0518715	−	0.0435253i
$232$	2002.93	−	729.008i	0.566806	−	0.206301i
$233$	2974.86	+	1082.76i	0.836435	+	0.304437i	0.724497	−	0.689278i	$-0.242072\pi$
$233$	2974.86	+	1082.76i	0.836435	+	0.304437i	0.111938	+	0.993715i	$0.464294\pi$
$234$	75.6902	+	63.5116i	0.0211454	+	0.0177431i
$235$	2808.65	−	4864.73i	0.779644	−	1.35038i
$236$	1177.29	+	2039.12i	0.324724	+	0.562438i
$237$	−340.811	+	1932.84i	−0.0934096	+	0.529752i
$238$	−50.0770	+	284.001i	−0.0136387	+	0.0773489i
$239$	−2186.52	−	3787.17i	−0.591776	−	1.02499i	−0.993993	−	0.109442i	$-0.965094\pi$
$239$	−2186.52	−	3787.17i	−0.591776	−	1.02499i	0.402217	−	0.915544i	$-0.368240\pi$
$240$	465.135	−	805.638i	0.125101	−	0.216682i
$241$	−2169.35	−	1820.30i	−0.579836	−	0.486540i	0.305057	−	0.952334i	$-0.401324\pi$
$241$	−2169.35	−	1820.30i	−0.579836	−	0.486540i	−0.884893	+	0.465794i	$0.845769\pi$
$242$	−287.234	−	104.545i	−0.0762980	−	0.0277702i
$243$	−2949.99	+	1073.71i	−0.778773	+	0.283450i
$244$	−2471.31	+	2073.67i	−0.648398	+	0.544071i
$245$	898.363	+	5094.87i	0.234263	+	1.32857i
$246$	−1897.30			−0.491738
$247$	158.742	+	290.327i	0.0408929	+	0.0747898i
$248$	−1527.44			−0.391100
$249$	583.281	+	3307.95i	0.148450	+	0.841899i
$250$	442.674	−	371.448i	0.111989	−	0.0939697i
$251$	−1563.77	+	569.167i	−0.393245	+	0.143130i	−0.531072	−	0.847327i	$-0.678211\pi$
$251$	−1563.77	+	569.167i	−0.393245	+	0.143130i	0.137827	+	0.990456i	$0.455988\pi$
$252$	74.9812	+	27.2909i	0.0187435	+	0.00682209i
$253$	1991.95	+	1671.45i	0.494992	+	0.415348i
$254$	577.363	−	1000.02i	0.142626	−	0.247035i
$255$	−2598.31	−	4500.41i	−0.638088	−	1.10520i
$256$	44.4539	−	252.111i	0.0108530	−	0.0615505i
$257$	−787.154	+	4464.17i	−0.191056	+	1.08353i	0.726869	+	0.686776i	$0.240975\pi$
$257$	−787.154	+	4464.17i	−0.191056	+	1.08353i	−0.917925	+	0.396754i	$0.870137\pi$
$258$	1061.46	+	1838.50i	0.256137	+	0.443642i
$259$	−111.089	+	192.411i	−0.0266514	+	0.0461616i
$260$	186.065	+	156.127i	0.0443818	+	0.0372407i
$261$	−3095.83	−	1126.79i	−0.734203	−	0.267228i
$262$	4970.80	−	1809.22i	1.17213	−	0.426619i
$263$	−240.295	+	201.631i	−0.0563392	+	0.0472742i	−0.670522	−	0.741889i	$-0.733930\pi$
$263$	−240.295	+	201.631i	−0.0563392	+	0.0472742i	0.614183	+	0.789163i	$0.289486\pi$
$264$	204.714	+	1160.99i	0.0477244	+	0.270659i
$265$	−6199.11			−1.43701
$266$	200.655	+	176.475i	0.0462516	+	0.0406781i
$267$	1808.16			0.414449
$268$	−142.032	−	805.503i	−0.0323731	−	0.183597i
$269$	2179.68	−	1828.97i	0.494042	−	0.414550i	−0.361430	−	0.932399i	$-0.617711\pi$
$269$	2179.68	−	1828.97i	0.494042	−	0.414550i	0.855472	+	0.517849i	$0.173267\pi$
$270$	−4301.48	+	1565.61i	−0.969553	+	0.352889i
$271$	3800.92	+	1383.42i	0.851990	+	0.310099i	0.730851	−	0.682537i	$-0.239123\pi$
$271$	3800.92	+	1383.42i	0.851990	+	0.310099i	0.121139	+	0.992636i	$0.461345\pi$
$272$	−1095.48	−	919.220i	−0.244204	−	0.204911i
$273$	12.3289	−	21.3543i	0.00273326	−	0.00473414i
$274$	−423.030	−	732.709i	−0.0932706	−	0.161549i
$275$	708.963	−	4020.73i	0.155462	−	0.881670i
$276$	179.373	−	1017.27i	0.0391195	−	0.221857i
$277$	−3925.62	−	6799.37i	−0.851507	−	1.47485i	−0.879848	−	0.475255i	$-0.842356\pi$
$277$	−3925.62	−	6799.37i	−0.851507	−	1.47485i	0.0283408	−	0.999598i	$-0.490978\pi$
$278$	−1377.41	+	2385.75i	−0.297165	+	0.514704i
$279$	1808.55	+	1517.55i	0.388082	+	0.325639i
$280$	184.322	+	67.0878i	0.0393406	+	0.0143188i
$281$	−174.275	+	63.4310i	−0.0369978	+	0.0134661i	−0.360453	−	0.932777i	$-0.617378\pi$
$281$	−174.275	+	63.4310i	−0.0369978	+	0.0134661i	0.323455	+	0.946244i	$0.395156\pi$
$282$	2166.26	−	1817.71i	0.457443	−	0.383840i
$283$	−888.369	−	5038.19i	−0.186601	−	1.05827i	−0.923881	−	0.382679i	$-0.875001\pi$
$283$	−888.369	−	5038.19i	−0.186601	−	1.05827i	0.737280	−	0.675587i	$-0.236110\pi$
$284$	−2856.31			−0.596800
$285$	−4813.96	−	111.889i	−1.00054	−	0.0232552i
$286$	−307.806			−0.0636398
$287$	−69.4687	−	393.976i	−0.0142878	−	0.0810303i
$288$	−303.113	+	254.342i	−0.0620177	+	0.0520390i
$289$	−2890.00	+	1051.87i	−0.588235	+	0.214100i
$290$	−7610.31	−	2769.93i	−1.54101	−	0.560881i
$291$	4811.30	+	4037.16i	0.969221	+	0.813273i
$292$	−213.095	+	369.092i	−0.0427071	+	0.0739708i
$293$	−1789.16	−	3098.91i	−0.356737	−	0.617886i	0.630677	−	0.776045i	$-0.282777\pi$
$293$	−1789.16	−	3098.91i	−0.356737	−	0.617886i	−0.987414	+	0.158160i	$0.949444\pi$
$294$	−452.252	+	2564.85i	−0.0897138	+	0.508792i
$295$	1553.52	−	8810.47i	0.306609	−	1.73887i
$296$	−550.876	−	954.145i	−0.108172	−	0.187360i
$297$	2900.47	−	5023.76i	0.566675	−	0.981510i
$298$	5266.01	+	4418.71i	1.02366	+	0.858955i
$299$	253.439	+	92.2442i	0.0490192	+	0.0178415i
$300$	−1524.05	+	554.710i	−0.293304	+	0.106754i
$301$	−342.901	+	287.728i	−0.0656627	+	0.0550976i
$302$	336.246	+	1906.95i	0.0640688	+	0.363352i
$303$	−6207.18			−1.17687
$304$	−1255.39	+	424.157i	−0.236847	+	0.0800232i
$305$	12257.7			2.30122
$306$	383.824	+	2176.78i	0.0717052	+	0.406660i
$307$	576.540	−	483.775i	0.107182	−	0.0899364i	−0.587622	−	0.809136i	$-0.699936\pi$
$307$	576.540	−	483.775i	0.107182	−	0.0899364i	0.694804	+	0.719199i	$0.255491\pi$
$308$	−233.585	+	85.0179i	−0.0432134	+	0.0157284i
$309$	356.103	+	129.611i	0.0655598	+	0.0238618i
$310$	4445.85	+	3730.51i	0.814539	+	0.683480i
$311$	−196.211	+	339.847i	−0.0357752	+	0.0619645i	−0.883359	−	0.468698i	$-0.844723\pi$
$311$	−196.211	+	339.847i	−0.0357752	+	0.0619645i	0.847583	+	0.530662i	$0.178057\pi$
$312$	61.1376	+	105.893i	0.0110937	+	0.0192149i
$313$	−480.364	+	2724.28i	−0.0867468	+	0.491966i	0.910219	+	0.414127i	$0.135913\pi$
$313$	−480.364	+	2724.28i	−0.0867468	+	0.491966i	−0.996966	+	0.0778387i	$0.975198\pi$
$314$	−582.664	+	3304.45i	−0.104719	+	0.593888i
$315$	−151.591	−	262.563i	−0.0271148	−	0.0469642i
$316$	1026.08	−	1777.22i	0.182663	−	0.316381i
$317$	4275.39	+	3587.48i	0.757507	+	0.635624i	0.937477	−	0.348049i	$-0.113156\pi$
$317$	4275.39	+	3587.48i	0.757507	+	0.635624i	−0.179970	+	0.983672i	$0.557600\pi$
$318$	−2932.53	−	1067.36i	−0.517133	−	0.188221i
$319$	9644.27	−	3510.23i	1.69271	−	0.616097i
$320$	−745.126	+	625.235i	−0.130168	+	0.109224i
$321$	1130.17	+	6409.52i	0.196511	+	1.11447i
$322$	217.805			0.0376951
$323$	−1454.42	+	7257.93i	−0.250546	+	1.25029i
$324$	−968.970			−0.166147
$325$	−73.5336	−	417.030i	−0.0125505	−	0.0711774i
$326$	−1339.55	+	1124.02i	−0.227579	+	0.190962i
$327$	−4369.87	+	1590.50i	−0.739003	+	0.268975i
$328$	1864.18	+	678.507i	0.313818	+	0.114220i
$329$	456.765	+	383.271i	0.0765418	+	0.0642262i
$330$	2239.66	−	3879.20i	0.373604	−	0.647100i
$331$	2098.00	+	3633.85i	0.348389	+	0.603427i	0.985963	−	0.166962i	$-0.0533956\pi$
$331$	2098.00	+	3633.85i	0.348389	+	0.603427i	−0.637575	+	0.770389i	$0.720062\pi$
$332$	609.880	−	3458.80i	0.100818	−	0.571766i
$333$	−295.709	+	1677.05i	−0.0486629	+	0.275981i
$334$	−2689.34	−	4658.08i	−0.440582	−	0.763110i
$335$	−1553.89	+	2691.42i	−0.253428	+	0.438950i
$336$	75.6439	+	63.4728i	0.0122819	+	0.0103057i
$337$	−3666.16	−	1334.37i	−0.592607	−	0.215691i	0.0282689	−	0.999600i	$-0.491001\pi$
$337$	−3666.16	−	1334.37i	−0.592607	−	0.215691i	−0.620876	+	0.783909i	$0.713223\pi$
$338$	4099.01	−	1491.92i	0.659635	−	0.240088i
$339$	3600.85	−	3021.47i	0.576906	−	0.484082i
$340$	943.534	+	5351.05i	0.150501	+	0.853533i
$341$	−7354.74			−1.16798
$342$	1907.83	+	745.039i	0.301648	+	0.117799i
$343$	−1102.50			−0.173556
$344$	−385.450	−	2186.00i	−0.0604131	−	0.342620i
$345$	−3006.60	+	2522.84i	−0.469188	+	0.393696i
$346$	3412.45	−	1242.03i	0.530215	−	0.192982i
$347$	−11111.6	−	4044.28i	−1.71902	−	0.625672i	−0.721266	−	0.692658i	$-0.756440\pi$
$347$	−11111.6	−	4044.28i	−1.71902	−	0.625672i	−0.997754	+	0.0669855i	$0.978662\pi$
$348$	−3123.19	−	2620.67i	−0.481094	−	0.403685i
$349$	547.409	−	948.141i	0.0839603	−	0.145424i	−0.820987	−	0.570946i	$-0.806576\pi$
$349$	547.409	−	948.141i	0.0839603	−	0.145424i	0.904948	+	0.425523i	$0.139910\pi$
$350$	−170.989	−	296.161i	−0.0261135	−	0.0452299i
$351$	104.480	−	592.533i	0.0158880	−	0.0901056i
$352$	214.049	−	1213.93i	0.0324115	−	0.183815i
$353$	1515.19	+	2624.39i	0.228457	+	0.395700i	0.957351	−	0.288927i	$-0.0932985\pi$
$353$	1515.19	+	2624.39i	0.228457	+	0.395700i	−0.728894	+	0.684627i	$0.759965\pi$
$354$	2251.88	−	3900.37i	0.338097	−	0.585600i
$355$	8313.73	+	6976.04i	1.24295	+	1.04296i
$356$	−1776.60	−	646.630i	−0.264494	−	0.0962678i
$357$	518.343	−	188.662i	0.0768449	−	0.0279693i
$358$	−570.566	+	478.761i	−0.0842328	+	0.0706797i
$359$	502.821	+	2851.64i	0.0739216	+	0.419230i	0.999202	+	0.0399461i	$0.0127186\pi$
$359$	502.821	+	2851.64i	0.0739216	+	0.419230i	−0.925280	+	0.379284i	$0.876170\pi$
$360$	1503.44			0.220106
$361$	5043.79	+	4648.23i	0.735353	+	0.677684i
$362$	4299.43			0.624235
$363$	101.528	+	575.792i	0.0146799	+	0.0832540i
$364$	−19.7504	+	16.5725i	−0.00284396	+	0.00238636i
$365$	1521.69	−	553.849i	0.218216	−	0.0794240i
$366$	5798.58	+	2110.51i	0.828133	+	0.301416i
$367$	−2774.26	−	2327.88i	−0.394592	−	0.331102i	0.423807	−	0.905753i	$-0.360694\pi$
$367$	−2774.26	−	2327.88i	−0.394592	−	0.331102i	−0.818399	+	0.574651i	$0.805138\pi$
$368$	−540.036	+	935.369i	−0.0764981	+	0.132499i
$369$	−1533.14	−	2655.48i	−0.216293	−	0.374631i
$370$	−726.925	+	4122.60i	−0.102138	+	0.579253i
$371$	114.264	−	648.024i	0.0159900	−	0.0906840i
$372$	1460.83	+	2530.23i	0.203603	+	0.352651i
$373$	2835.16	−	4910.64i	0.393563	−	0.681671i	−0.599353	−	0.800485i	$-0.704576\pi$
$373$	2835.16	−	4910.64i	0.393563	−	0.681671i	0.992917	+	0.118813i	$0.0379089\pi$
$374$	−5274.83	−	4426.11i	−0.729291	−	0.611948i
$375$	−1038.68	−	378.047i	−0.143032	−	0.0520594i
$376$	−2778.49	+	1011.29i	−0.381089	+	0.138705i
$377$	815.454	−	684.247i	0.111401	−	0.0934762i
$378$	−84.3747	−	478.513i	−0.0114809	−	0.0651112i
$379$	−9524.46			−1.29087			−0.645433	−	0.763817i	$-0.723323\pi$
$379$	−9524.46			−1.29087			−0.645433	+	0.763817i	$0.723323\pi$
$380$	4689.92	+	1831.49i	0.633125	+	0.247246i
$381$	−2208.73			−0.296999
$382$	−1143.20	−	6483.42i	−0.153119	−	0.868378i
$383$	5597.33	−	4696.72i	0.746763	−	0.626608i	−0.187882	−	0.982192i	$-0.560162\pi$
$383$	5597.33	−	4696.72i	0.746763	−	0.626608i	0.934645	+	0.355583i	$0.115718\pi$
$384$	−460.139	+	167.477i	−0.0611495	+	0.0222566i
$385$	887.525	+	323.033i	0.117487	+	0.0427617i
$386$	−642.414	−	539.049i	−0.0847098	−	0.0710800i
$387$	−1715.45	+	2971.25i	−0.225327	+	0.390277i
$388$	−3283.56	−	5687.29i	−0.429632	−	0.744145i
$389$	43.6252	−	247.411i	0.00568608	−	0.0322473i	−0.981833	−	0.189749i	$-0.939233\pi$
$389$	43.6252	−	247.411i	0.00568608	−	0.0322473i	0.987519	+	0.157501i	$0.0503438\pi$
$390$	80.6760	−	457.536i	0.0104748	−	0.0594058i
$391$	3016.72	+	5225.10i	0.390184	+	0.675818i
$392$	1361.59	−	2358.34i	0.175435	−	0.303863i
$393$	−7751.00	−	6503.86i	−0.994876	−	0.834800i
$394$	−3825.12	−	1392.23i	−0.489104	−	0.178019i
$395$	−7327.09	+	2666.84i	−0.933331	+	0.339705i
$396$	−1459.51	+	1224.67i	−0.185210	+	0.155410i
$397$	−719.710	−	4081.68i	−0.0909854	−	0.516004i	−0.995904	−	0.0904188i	$-0.971179\pi$
$397$	−719.710	−	4081.68i	−0.0909854	−	0.516004i	0.904918	−	0.425585i	$-0.139932\pi$
$398$	−5074.62			−0.639115
$399$	100.429	−	501.165i	0.0126008	−	0.0628813i
$400$	1695.82			0.211978
$401$	−491.601	−	2788.01i	−0.0612204	−	0.347198i	−0.999996	−	0.00267008i	$-0.999150\pi$
$401$	−491.601	−	2788.01i	−0.0612204	−	0.347198i	0.938776	−	0.344528i	$-0.111961\pi$
$402$	−1198.49	+	1005.65i	−0.148694	+	0.124769i
$403$	−716.829	+	260.904i	−0.0886050	+	0.0322496i
$404$	6098.83	+	2219.79i	0.751059	+	0.273363i
$405$	2820.33	+	2366.54i	0.346033	+	0.290356i
$406$	429.830	−	744.488i	0.0525422	−	0.0910057i
$407$	−2652.51	−	4594.27i	−0.323046	−	0.559532i
$408$	−474.991	+	2693.81i	−0.0576362	+	0.326871i
$409$	1624.68	−	9213.99i	0.196418	−	1.11394i	−0.713966	−	0.700180i	$-0.753103\pi$
$409$	1624.68	−	9213.99i	0.196418	−	1.11394i	0.910385	−	0.413763i	$-0.135786\pi$
$410$	−3768.84	−	6527.83i	−0.453975	−	0.786308i
$411$	−809.160	+	1401.51i	−0.0971117	+	0.168202i
$412$	−303.536	−	254.697i	−0.0362964	−	0.0304563i
$413$	892.368	+	324.795i	0.106321	+	0.0386977i
$414$	1568.73	−	570.972i	0.186229	−	0.0677820i
$415$	−10222.7	+	8577.83i	−1.20918	+	1.01462i
$416$	−22.2011	−	125.909i	−0.00261659	−	0.0148394i
$417$	5269.36			0.618805
$418$	−6044.77	+	2042.34i	−0.707320	+	0.238982i
$419$	−3304.33			−0.385267			−0.192633	−	0.981271i	$-0.561703\pi$
$419$	−3304.33			−0.385267			−0.192633	+	0.981271i	$0.561703\pi$
$420$	−65.1517	−	369.494i	−0.00756923	−	0.0429273i
$421$	1201.15	−	1007.89i	0.139051	−	0.116678i	−0.570609	−	0.821222i	$-0.693293\pi$
$421$	1201.15	−	1007.89i	0.139051	−	0.116678i	0.709660	+	0.704544i	$0.248848\pi$
$422$	2499.96	−	909.910i	0.288379	−	0.104961i
$423$	4294.56	+	1563.09i	0.493638	+	0.179669i
$424$	2499.64	+	2097.45i	0.286305	+	0.240238i
$425$	4736.56	−	8203.96i	0.540604	−	0.936354i
$426$	2731.74	+	4731.52i	0.310689	+	0.538128i
$427$	−225.938	+	1281.36i	−0.0256063	+	0.145221i
$428$	1181.71	−	6701.80i	0.133458	−	0.756878i
$429$	294.382	+	509.885i	0.0331303	+	0.0573834i
$430$	−4217.00	+	7304.07i	−0.472935	+	0.819147i
$431$	7656.81	+	6424.82i	0.855720	+	0.718035i	0.961042	−	0.276404i	$-0.0891427\pi$
$431$	7656.81	+	6424.82i	0.855720	+	0.718035i	−0.105321	+	0.994438i	$0.533587\pi$
$432$	2264.18	+	824.096i	0.252166	+	0.0917808i
$433$	−8910.95	+	3243.32i	−0.988991	+	0.359963i	−0.785329	−	0.619078i	$-0.787506\pi$
$433$	−8910.95	+	3243.32i	−0.988991	+	0.359963i	−0.203662	+	0.979041i	$0.565284\pi$
$434$	−471.916	+	395.985i	−0.0521952	+	0.0437970i
$435$	2689.99	+	15255.7i	0.296494	+	1.68150i
$436$	4862.38			0.534095
$437$	5589.15	+	129.906i	0.611820	+	0.0142203i
$438$	815.206			0.0889317
$439$	1213.19	+	6880.33i	0.131896	+	0.748018i	0.976971	+	0.213371i	$0.0684444\pi$
$439$	1213.19	+	6880.33i	0.131896	+	0.748018i	−0.845075	+	0.534647i	$0.820445\pi$
$440$	−3587.83	+	3010.55i	−0.388735	+	0.326187i
$441$	−3955.24	+	1439.59i	−0.427085	+	0.155446i
$442$	−671.124	−	244.269i	−0.0722219	−	0.0262866i
$443$	−6666.92	−	5594.21i	−0.715022	−	0.599975i	0.210981	−	0.977490i	$-0.432334\pi$
$443$	−6666.92	−	5594.21i	−0.715022	−	0.599975i	−0.926003	+	0.377515i	$0.876779\pi$
$444$	−1053.70	+	1825.06i	−0.112627	+	0.195076i
$445$	3591.78	+	6221.15i	0.382622	+	0.662721i
$446$	−1012.07	+	5739.72i	−0.107450	+	0.609380i
$447$	2283.29	−	12949.2i	0.241602	−	1.37019i
$448$	−51.6245	−	89.4163i	−0.00544426	−	0.00942974i
$449$	6975.37	−	12081.7i	0.733159	−	1.26987i	−0.222368	−	0.974963i	$-0.571379\pi$
$449$	6975.37	−	12081.7i	0.733159	−	1.26987i	0.955526	−	0.294905i	$-0.0952881\pi$
$450$	−2007.91	−	1684.84i	−0.210342	−	0.176498i
$451$	8976.17	+	3267.06i	0.937187	+	0.341108i
$452$	−4618.52	+	1681.00i	−0.480613	+	0.174929i
$453$	2837.30	−	2380.77i	0.294278	−	0.246928i
$454$	−280.775	−	1592.36i	−0.0290252	−	0.164610i
$455$	97.9618			0.0100935
$456$	1903.26	+	1673.90i	0.195456	+	0.171903i
$457$	−7064.52			−0.723116			−0.361558	−	0.932350i	$-0.617755\pi$
$457$	−7064.52			−0.723116			−0.361558	+	0.932350i	$0.617755\pi$
$458$	1568.97	+	8898.09i	0.160073	+	0.907818i
$459$	10310.8	−	8651.78i	1.04851	−	0.879805i
$460$	3856.33	−	1403.59i	0.390874	−	0.142267i
$461$	−2970.49	−	1081.17i	−0.300107	−	0.109230i	0.187578	−	0.982250i	$-0.439936\pi$
$461$	−2970.49	−	1081.17i	−0.300107	−	0.109230i	−0.487685	+	0.873020i	$0.662159\pi$
$462$	364.231	+	305.626i	0.0366787	+	0.0307771i
$463$	−4387.70	+	7599.71i	−0.440418	+	0.762826i	−0.997720	−	0.0674833i	$-0.978503\pi$
$463$	−4387.70	+	7599.71i	−0.440418	+	0.762826i	0.557302	+	0.830310i	$0.311836\pi$
$464$	2131.48	+	3691.83i	0.213257	+	0.369372i
$465$	1927.68	−	10932.4i	0.192245	−	1.09028i
$466$	−1099.46	+	6235.36i	−0.109295	+	0.619845i
$467$	8634.59	+	14955.6i	0.855592	+	1.48193i	0.876095	+	0.482139i	$0.160140\pi$
$467$	8634.59	+	14955.6i	0.855592	+	1.48193i	−0.0205032	+	0.999790i	$0.506527\pi$
$468$	−98.8065	+	171.138i	−0.00975925	+	0.0169035i
$469$	−252.706	−	212.046i	−0.0248804	−	0.0208771i
$470$	10557.1	+	3842.46i	1.03609	+	0.377106i
$471$	6031.11	−	2195.15i	0.590019	−	0.214749i
$472$	−3607.41	+	3026.98i	−0.351790	+	0.295186i
$473$	−1855.97	−	10525.7i	−0.180418	−	1.02320i
$474$	−3925.31			−0.380370
$475$	−4211.13	−	7701.83i	−0.406779	−	0.743966i
$476$	−576.764			−0.0555377
$477$	−875.799	−	4966.90i	−0.0840672	−	0.476769i
$478$	6699.90	−	5621.88i	0.641101	−	0.537948i
$479$	2048.83	−	745.711i	0.195435	−	0.0711324i	−0.242449	−	0.970164i	$-0.577951\pi$
$479$	2048.83	−	745.711i	0.195435	−	0.0711324i	0.437883	+	0.899032i	$0.355728\pi$
$480$	1748.34	+	636.343i	0.166251	+	0.0605103i
$481$	−421.505	−	353.685i	−0.0399563	−	0.0335273i
$482$	2831.89	−	4904.98i	0.267612	−	0.463518i
$483$	−208.306	−	360.797i	−0.0196237	−	0.0339893i
$484$	106.157	−	602.049i	0.00996970	−	0.0565410i
$485$	−4332.92	+	24573.2i	−0.405665	+	2.30064i
$486$	−3139.31	−	5437.45i	−0.293008	−	0.507505i
$487$	−2412.17	+	4178.00i	−0.224447	+	0.388754i	−0.956153	−	0.292866i	$-0.905391\pi$
$487$	−2412.17	+	4178.00i	−0.224447	+	0.388754i	0.731706	+	0.681620i	$0.238724\pi$
$488$	−4942.61	−	4147.34i	−0.458487	−	0.384716i
$489$	3143.08	+	1143.99i	0.290664	+	0.105793i
$490$	−9722.94	+	3538.86i	−0.896404	+	0.326264i
$491$	8557.94	−	7180.97i	0.786588	−	0.660025i	−0.158311	−	0.987389i	$-0.550605\pi$
$491$	8557.94	−	7180.97i	0.786588	−	0.660025i	0.944898	+	0.327364i	$0.106160\pi$
$492$	−658.925	−	3736.95i	−0.0603794	−	0.342428i
$493$	23813.5			2.17547
$494$	−516.702	+	413.491i	−0.0470598	+	0.0376596i
$495$	7239.17			0.657326
$496$	−530.475	−	3008.47i	−0.0480223	−	0.272348i
$497$	−882.483	+	740.491i	−0.0796474	+	0.0668321i
$498$	−6312.82	+	2297.68i	−0.568041	+	0.206750i
$499$	−14519.0	−	5284.47i	−1.30252	−	0.474079i	−0.404704	−	0.914448i	$-0.632626\pi$
$499$	−14519.0	−	5284.47i	−1.30252	−	0.474079i	−0.897817	+	0.440369i	$0.854848\pi$
$500$	885.349	+	742.896i	0.0791880	+	0.0664466i
$501$	−5144.11	+	8909.86i	−0.458726	+	0.794537i
$502$	−1664.13	−	2882.37i	−0.147956	−	0.256267i
$503$	−1379.27	+	7822.23i	−0.122264	+	0.693392i	0.860632	+	0.509228i	$0.170069\pi$
$503$	−1379.27	+	7822.23i	−0.122264	+	0.693392i	−0.982896	+	0.184164i	$0.941042\pi$
$504$	−27.7119	+	157.162i	−0.00244918	+	0.0138900i
$505$	−12330.1	−	21356.3i	−1.08650	−	1.88187i
$506$	−2600.31	+	4503.87i	−0.228454	+	0.395695i
$507$	−6391.62	−	5363.20i	−0.559885	−	0.469799i
$508$	2170.18	+	789.880i	0.189539	+	0.0689867i
$509$	−5204.55	+	1894.30i	−0.453218	+	0.164958i	−0.558535	−	0.829481i	$-0.688636\pi$
$509$	−5204.55	+	1894.30i	−0.453218	+	0.164958i	0.105317	+	0.994439i	$0.466414\pi$
$510$	7961.69	−	6680.65i	0.691273	−	0.580047i
$511$	29.8484	+	169.278i	0.00258398	+	0.0146545i
$512$	512.000			0.0441942
$513$	−1879.76	−	12329.5i	−0.161780	−	1.06114i
$514$	−9066.07			−0.777991
$515$	261.434	+	1482.66i	0.0223692	+	0.126862i
$516$	−3252.49	+	2729.16i	−0.277486	+	0.232839i
$517$	−13378.6	+	4869.42i	−1.13809	+	0.414230i
$518$	−417.557	−	151.978i	−0.0354178	−	0.0128910i
$519$	−5321.06	−	4464.90i	−0.450036	−	0.377625i
$520$	−242.891	+	420.699i	−0.0204836	+	0.0354786i
$521$	9252.40	+	16025.6i	0.778033	+	1.34759i	0.933074	+	0.359684i	$0.117115\pi$
$521$	9252.40	+	16025.6i	0.778033	+	1.34759i	−0.155042	+	0.987908i	$0.549551\pi$
$522$	1144.17	−	6488.92i	0.0959369	−	0.544085i
$523$	67.8315	−	384.692i	0.00567126	−	0.0321633i	−0.981841	−	0.189707i	$-0.939246\pi$
$523$	67.8315	−	384.692i	0.00567126	−	0.0321633i	0.987512	+	0.157543i	$0.0503574\pi$
$524$	5289.81	+	9162.22i	0.441005	+	0.763843i
$525$	−327.063	+	566.489i	−0.0271889	+	0.0470926i
$526$	−480.590	−	403.263i	−0.0398379	−	0.0334279i
$527$	−16035.9	−	5836.58i	−1.32549	−	0.482439i
$528$	−2215.60	+	806.414i	−0.182617	+	0.0664672i
$529$	−5829.71	+	4891.71i	−0.479141	+	0.402047i
$530$	−2152.93	−	12209.9i	−0.176448	−	1.00068i
$531$	7278.68			0.594854
$532$	−277.901	+	456.502i	−0.0226476	+	0.0372028i
$533$	990.757			0.0805150
$534$	627.969	+	3561.39i	0.0508893	+	0.288607i
$535$	−19807.5	+	16620.5i	−1.60066	+	1.34311i
$536$	1537.20	−	559.497i	0.123875	−	0.0450869i
$537$	1338.76	+	487.267i	0.107582	+	0.0391567i
$538$	4359.35	+	3657.93i	0.349340	+	0.293131i
$539$	6556.15	−	11355.6i	0.523921	−	0.907458i
$540$	−4577.53	−	7928.52i	−0.364788	−	0.631832i
$541$	−2259.51	+	12814.3i	−0.179564	+	1.01836i	0.753180	+	0.657815i	$0.228519\pi$
$541$	−2259.51	+	12814.3i	−0.179564	+	1.01836i	−0.932743	+	0.360541i	$0.882592\pi$
$542$	−1404.76	+	7966.80i	−0.111328	+	0.631372i
$543$	−4111.92	−	7122.05i	−0.324971	−	0.562866i
$544$	1430.05	−	2476.92i	0.112708	−	0.195215i
$545$	−14152.7	−	11875.5i	−1.11236	−	0.933377i
$546$	46.3416	+	16.8670i	0.00363230	+	0.00132205i
$547$	22033.0	−	8019.34i	1.72223	−	0.626841i	0.724203	−	0.689587i	$-0.242208\pi$
$547$	22033.0	−	8019.34i	1.72223	−	0.626841i	0.998030	+	0.0627456i	$0.0199857\pi$
$548$	1296.24	−	1087.67i	0.101045	−	0.0847866i
$549$	1731.74	+	9821.20i	0.134625	+	0.763494i
$550$	8165.51			0.633052
$551$	11474.0	−	18848.1i	0.887130	−	1.45727i
$552$	2065.93			0.159297
$553$	−143.723	−	815.094i	−0.0110519	−	0.0626787i
$554$	12028.8	−	10093.4i	0.922481	−	0.774053i
$555$	7524.35	−	2738.64i	0.575479	−	0.209457i
$556$	−5177.38	−	1884.41i	−0.394910	−	0.143735i
$557$	2199.71	+	1845.78i	0.167334	+	0.140410i	0.722609	−	0.691257i	$-0.242943\pi$
$557$	2199.71	+	1845.78i	0.167334	+	0.140410i	−0.555275	+	0.831666i	$0.687387\pi$
$558$	−2360.89	+	4089.18i	−0.179112	+	0.310231i
$559$	−554.285	−	960.050i	−0.0419388	−	0.0726401i
$560$	−68.1227	+	386.343i	−0.00514056	+	0.0291535i
$561$	−2287.12	+	12970.9i	−0.172125	+	0.976170i
$562$	−185.460	−	321.226i	−0.0139202	−	0.0241105i
$563$	−9639.92	+	16696.8i	−0.721623	+	1.24989i	0.238725	+	0.971087i	$0.423270\pi$
$563$	−9639.92	+	16696.8i	−0.721623	+	1.24989i	−0.960349	+	0.278801i	$0.910063\pi$
$564$	4332.52	+	3635.41i	0.323461	+	0.271416i
$565$	17548.4	+	6387.11i	1.30667	+	0.475589i
$566$	9614.77	−	3499.49i	0.714027	−	0.259884i
$567$	−299.371	+	251.203i	−0.0221736	+	0.0186058i
$568$	−991.988	−	5625.84i	−0.0732797	−	0.415590i
$569$	10628.0			0.783037			0.391519	−	0.920170i	$-0.371950\pi$
$569$	10628.0			0.783037			0.391519	+	0.920170i	$0.371950\pi$
$570$	−1451.49	−	9520.51i	−0.106660	−	0.699597i
$571$	−23994.9			−1.75859			−0.879296	−	0.476276i	$-0.841986\pi$
$571$	−23994.9			−1.75859			−0.879296	+	0.476276i	$0.841986\pi$
$572$	−106.900	−	606.260i	−0.00781419	−	0.0443165i
$573$	−9646.51	+	8094.38i	−0.703296	+	0.590136i
$574$	751.856	−	273.653i	0.0546722	−	0.0198991i
$575$	−6723.25	−	2447.06i	−0.487615	−	0.177478i
$576$	−606.226	−	508.684i	−0.0438531	−	0.0367972i
$577$	3421.54	−	5926.28i	0.246864	−	0.427581i	−0.715790	−	0.698316i	$-0.753933\pi$
$577$	3421.54	−	5926.28i	0.246864	−	0.427581i	0.962654	+	0.270734i	$0.0872665\pi$
$578$	−3075.47	−	5326.87i	−0.221320	−	0.383337i
$579$	−278.545	+	1579.70i	−0.0199929	+	0.113386i
$580$	2812.66	−	15951.4i	0.201361	−	1.14197i
$581$	−708.256	−	1226.74i	−0.0505739	−	0.0875965i
$582$	−6280.70	+	10878.5i	−0.447326	+	0.774791i
$583$	12035.9	+	10099.4i	0.855022	+	0.717449i
$584$	−800.976	−	291.532i	−0.0567545	−	0.0206570i
$585$	705.565	−	256.805i	0.0498658	−	0.0181497i
$586$	5482.30	−	4600.20i	0.386471	−	0.324287i
$587$	−2520.10	−	14292.2i	−0.177199	−	1.00495i	−0.935575	−	0.353128i	$-0.885118\pi$
$587$	−2520.10	−	14292.2i	−0.177199	−	1.00495i	0.758376	−	0.651817i	$-0.225993\pi$
$588$	−5208.83			−0.365320
$589$	−12346.1	+	9879.98i	−0.863689	+	0.691167i
$590$	17892.8			1.24853
$591$	1352.05	+	7667.87i	0.0941049	+	0.533695i
$592$	1687.98	−	1416.38i	0.117189	−	0.0983328i
$593$	17822.2	−	6486.75i	1.23418	−	0.449205i	0.359154	−	0.933278i	$-0.383065\pi$
$593$	17822.2	−	6486.75i	1.23418	−	0.449205i	0.875028	+	0.484073i	$0.160843\pi$
$594$	10902.2	+	3968.08i	0.753069	+	0.274095i
$595$	1678.76	+	1408.64i	0.115668	+	0.0970568i
$596$	−6874.28	+	11906.6i	−0.472452	+	0.818312i
$597$	4853.30	+	8406.17i	0.332718	+	0.576284i
$598$	−93.6672	+	531.213i	−0.00640525	+	0.0363260i
$599$	−1075.07	+	6097.00i	−0.0733322	+	0.415888i	0.925937	+	0.377677i	$0.123277\pi$
$599$	−1075.07	+	6097.00i	−0.0733322	+	0.415888i	−0.999270	+	0.0382109i	$0.987834\pi$
$600$	−1621.86	−	2809.15i	−0.110354	−	0.191139i
$601$	1672.47	−	2896.80i	0.113513	−	0.196611i	−0.803671	−	0.595074i	$-0.797123\pi$
$601$	1672.47	−	2896.80i	0.113513	−	0.196611i	0.917184	+	0.398463i	$0.130456\pi$
$602$	−685.802	−	575.456i	−0.0464306	−	0.0389599i
$603$	−2375.98	−	864.785i	−0.160460	−	0.0584026i
$604$	−3639.17	+	1324.55i	−0.245159	+	0.0892305i
$605$	−1779.38	+	1493.08i	−0.119574	+	0.100334i
$606$	−2155.73	−	12225.8i	−0.144506	−	0.819534i
$607$	19504.6			1.30423			0.652113	−	0.758122i	$-0.273883\pi$
$607$	19504.6			1.30423			0.652113	+	0.758122i	$0.273883\pi$
$608$	−1271.42	−	2325.32i	−0.0848072	−	0.155106i
$609$	−1644.34			−0.109412
$610$	4257.05	+	24142.9i	0.282562	+	1.60249i
$611$	−1131.21	+	949.194i	−0.0748996	+	0.0628482i
$612$	−4154.11	+	1511.97i	−0.274379	+	0.0998658i
$613$	14556.2	+	5298.03i	0.959087	+	0.349079i	0.773676	−	0.633582i	$-0.218416\pi$
$613$	14556.2	+	5298.03i	0.959087	+	0.349079i	0.185411	+	0.982661i	$0.440638\pi$
$614$	1153.08	+	967.549i	0.0757891	+	0.0635946i
$615$	−7208.95	+	12486.3i	−0.472671	+	0.818690i
$616$	−248.576	−	430.546i	−0.0162588	−	0.0281610i
$617$	−1718.15	+	9744.13i	−0.112107	+	0.635792i	0.876035	+	0.482248i	$0.160180\pi$
$617$	−1718.15	+	9744.13i	−0.112107	+	0.635792i	−0.988142	+	0.153544i	$0.950931\pi$
$618$	−131.610	+	746.398i	−0.00856657	+	0.0485834i
$619$	11028.8	+	19102.4i	0.716130	+	1.24037i	0.962522	+	0.271203i	$0.0874215\pi$
$619$	11028.8	+	19102.4i	0.716130	+	1.24037i	−0.246392	+	0.969170i	$0.579245\pi$
$620$	−5803.64	+	10052.2i	−0.375935	+	0.651139i
$621$	−7787.40	−	6534.40i	−0.503217	−	0.422249i
$622$	−737.511	−	268.432i	−0.0475426	−	0.0173041i
$623$	−716.533	+	260.797i	−0.0460791	+	0.0167714i
$624$	−187.337	+	157.194i	−0.0120184	+	0.0100846i
$625$	−3063.15	−	17372.0i	−0.196041	−	1.11181i
$626$	−5532.61			−0.353239
$627$	9164.31	+	8059.96i	0.583712	+	0.513372i
$628$	−6710.86			−0.426421
$629$	−2137.45	−	12122.1i	−0.135494	−	0.768424i
$630$	464.501	−	389.762i	0.0293748	−	0.0246484i
$631$	7694.35	−	2800.51i	0.485431	−	0.176683i	−0.0876987	−	0.996147i	$-0.527951\pi$
$631$	7694.35	−	2800.51i	0.485431	−	0.176683i	0.573130	+	0.819465i	$0.305729\pi$
$632$	3856.79	+	1403.76i	0.242745	+	0.0883519i
$633$	−3898.20	−	3270.98i	−0.244770	−	0.205387i
$634$	−5581.12	+	9666.78i	−0.349613	+	0.605547i
$635$	−4387.48	−	7599.33i	−0.274192	−	0.474914i
$636$	1083.82	−	6146.65i	0.0675728	−	0.383224i
$637$	236.163	−	1339.35i	0.0146893	−	0.0833074i
$638$	10263.2	+	17776.4i	0.636872	+	1.10310i
$639$	−4414.86	+	7646.75i	−0.273316	+	0.473397i
$640$	−1490.25	−	1250.47i	−0.0920428	−	0.0772330i
$641$	−23626.9	−	8599.48i	−1.45586	−	0.529889i	−0.511637	−	0.859201i	$-0.670961\pi$
$641$	−23626.9	−	8599.48i	−1.45586	−	0.529889i	−0.944221	+	0.329312i	$0.893183\pi$
$642$	−12231.8	+	4452.00i	−0.751947	+	0.273686i
$643$	19692.2	−	16523.7i	1.20775	−	1.01342i	0.208378	−	0.978048i	$-0.433182\pi$
$643$	19692.2	−	16523.7i	1.20775	−	1.01342i	0.999374	−	0.0353759i	$-0.0112628\pi$
$644$	75.6431	+	428.993i	0.00462850	+	0.0262495i
$645$	16132.4			0.984823
$646$	−14800.5	−	344.001i	−0.901418	−	0.0209513i
$647$	−4723.46			−0.287014			−0.143507	−	0.989649i	$-0.545838\pi$
$647$	−4723.46			−0.287014			−0.143507	+	0.989649i	$0.545838\pi$
$648$	−336.520	−	1908.50i	−0.0204008	−	0.115699i
$649$	−17370.0	+	14575.1i	−1.05059	+	0.881546i
$650$	795.851	−	289.666i	0.0480244	−	0.0174794i
$651$	1107.29	+	403.020i	0.0666637	+	0.0242636i
$652$	−2679.10	−	2248.03i	−0.160923	−	0.135030i
$653$	5177.17	−	8967.12i	0.310258	−	0.537382i	−0.668160	−	0.744017i	$-0.732918\pi$
$653$	5177.17	−	8967.12i	0.310258	−	0.537382i	0.978418	+	0.206635i	$0.0662513\pi$
$654$	−4650.31	−	8054.58i	−0.278045	−	0.481589i
$655$	6980.33	−	39587.4i	0.416403	−	2.36154i
$656$	−688.974	+	3907.36i	−0.0410059	+	0.232556i
$657$	658.741	+	1140.97i	0.0391171	+	0.0677528i
$658$	−596.264	+	1032.76i	−0.0353264	+	0.0611872i
$659$	−23336.0	−	19581.2i	−1.37943	−	1.15748i	−0.969424	−	0.245392i	$-0.921083\pi$
$659$	−23336.0	−	19581.2i	−1.37943	−	1.15748i	−0.410002	−	0.912084i	$-0.634472\pi$
$660$	8418.37	+	3064.03i	0.496492	+	0.180708i
$661$	3139.98	−	1142.86i	0.184767	−	0.0672497i	−0.247980	−	0.968765i	$-0.579767\pi$
$661$	3139.98	−	1142.86i	0.184767	−	0.0672497i	0.432747	+	0.901516i	$0.357544\pi$
$662$	−6428.65	+	5394.28i	−0.377427	+	0.316699i
$663$	237.220	+	1345.34i	0.0138957	+	0.0788064i
$664$	7024.32			0.410537
$665$	1923.80	−	649.992i	0.112183	−	0.0379032i
$666$	−3405.84			−0.198159
$667$	−3123.16	−	17712.3i	−0.181303	−	1.02822i
$668$	8240.63	−	6914.71i	0.477305	−	0.400506i
$669$	10475.8	−	3812.89i	0.605410	−	0.220351i
$670$	−5840.73	−	2125.85i	−0.336787	−	0.122580i
$671$	−23799.0	−	19969.7i	−1.36923	−	1.14892i
$672$	−98.7461	+	171.033i	−0.00566847	+	0.00981808i
$673$	10759.0	+	18635.2i	0.616241	+	1.06736i	0.990165	+	0.139902i	$0.0446787\pi$
$673$	10759.0	+	18635.2i	0.616241	+	1.06736i	−0.373924	+	0.927459i	$0.621988\pi$
$674$	1354.96	−	7684.35i	0.0774348	−	0.439154i
$675$	−2771.64	+	15718.8i	−0.158045	+	0.896319i
$676$	4362.07	+	7555.33i	0.248184	+	0.429867i
$677$	299.227	−	518.276i	0.0169870	−	0.0294224i	−0.857407	−	0.514639i	$-0.827926\pi$
$677$	299.227	−	518.276i	0.0169870	−	0.0294224i	0.874394	+	0.485217i	$0.161259\pi$
$678$	7201.70	+	6042.94i	0.407934	+	0.342298i
$679$	−2488.89	−	905.884i	−0.140670	−	0.0511997i
$680$	−10211.8	+	3716.80i	−0.575890	+	0.209607i
$681$	−2369.22	+	1988.02i	−0.133317	+	0.111866i
$682$	−2554.28	−	14486.0i	−0.143414	−	0.813341i
$683$	−16817.3			−0.942159			−0.471080	−	0.882091i	$-0.656136\pi$
$683$	−16817.3			−0.942159			−0.471080	+	0.882091i	$0.656136\pi$
$684$	−804.858	+	4016.44i	−0.0449920	+	0.224521i
$685$	−6429.34			−0.358617
$686$	−382.895	−	2171.51i	−0.0213105	−	0.120858i
$687$	13239.2	−	11109.0i	0.735238	−	0.616938i
$688$	4171.71	−	1518.38i	0.231170	−	0.0841390i
$689$	1531.35	+	557.366i	0.0846731	+	0.0308185i
$690$	−6013.20	−	5045.68i	−0.331766	−	0.278385i
$691$	4977.75	−	8621.72i	0.274041	−	0.474654i	−0.695851	−	0.718186i	$-0.744973\pi$
$691$	4977.75	−	8621.72i	0.274041	−	0.474654i	0.969893	+	0.243532i	$0.0783061\pi$
$692$	3631.45	+	6289.86i	0.199490	+	0.345527i
$693$	−133.435	+	756.747i	−0.00731425	+	0.0414812i
$694$	4106.67	−	23290.1i	0.224621	−	1.27389i
$695$	10467.2	+	18129.7i	0.571285	+	0.989495i
$696$	4077.03	−	7061.63i	0.222040	−	0.384584i
$697$	16978.5	+	14246.6i	0.922676	+	0.774217i
$698$	2057.59	+	748.900i	0.111577	+	0.0406107i
$699$	11380.5	−	4142.15i	0.615806	−	0.224135i
$700$	523.939	−	439.637i	0.0282901	−	0.0237382i
$701$	4172.16	+	23661.5i	0.224794	+	1.27487i	0.863079	+	0.505069i	$0.168533\pi$
$701$	4172.16	+	23661.5i	0.224794	+	1.27487i	−0.638285	+	0.769800i	$0.720356\pi$
$702$	1203.35			0.0646972
$703$	−10624.4	−	4148.99i	−0.569994	−	0.222592i
$704$	2465.32			0.131982
$705$	−3731.57	−	21162.8i	−0.199346	−	1.13055i
$706$	−4642.81	+	3895.78i	−0.247499	+	0.207677i
$707$	2459.76	−	895.279i	0.130847	−	0.0476244i
$708$	8464.31	+	3080.76i	0.449305	+	0.163534i
$709$	−16021.0	−	13443.2i	−0.848635	−	0.712089i	0.110854	−	0.993837i	$-0.464641\pi$
$709$	−16021.0	−	13443.2i	−0.848635	−	0.712089i	−0.959489	+	0.281748i	$0.909086\pi$
$710$	−10852.8	+	18797.6i	−0.573660	+	0.993607i
$711$	−3171.91	−	5493.91i	−0.167308	−	0.289786i
$712$	656.605	−	3723.79i	0.0345609	−	0.196004i
$713$	−2238.09	+	12692.8i	−0.117556	+	0.666691i
$714$	551.610	+	955.416i	0.0289124	+	0.0500778i
$715$	−1169.54	+	2025.69i	−0.0611722	+	0.105953i
$716$	−1141.13	−	957.523i	−0.0595616	−	0.0499781i
$717$	−15720.4	−	5721.76i	−0.818814	−	0.298024i
$718$	−5442.00	+	1980.73i	−0.282860	+	0.102953i
$719$	−4943.23	+	4147.86i	−0.256400	+	0.215145i	−0.761922	−	0.647669i	$-0.775744\pi$
$719$	−4943.23	+	4147.86i	−0.256400	+	0.215145i	0.505523	+	0.862813i	$0.331300\pi$
$720$	522.139	+	2961.20i	0.0270264	+	0.153274i
$721$	−159.809			−0.00825466
$722$	−7403.55	+	11548.6i	−0.381622	+	0.595285i
$723$	−10833.5			−0.557266
$724$	1493.18	+	8468.22i	0.0766484	+	0.434695i
$725$	−21632.4	+	18151.8i	−1.10815	+	0.929848i
$726$	−1098.83	+	399.941i	−0.0561726	+	0.0204452i
$727$	16271.3	+	5922.25i	0.830079	+	0.302124i	0.721891	−	0.692006i	$-0.243273\pi$
$727$	16271.3	+	5922.25i	0.830079	+	0.302124i	0.108188	+	0.994130i	$0.465495\pi$
$728$	−39.5007	−	33.1451i	−0.00201098	−	0.00168741i
$729$	−9275.07	+	16064.9i	−0.471222	+	0.816181i
$730$	1619.35	+	2804.79i	0.0821023	+	0.142205i
$731$	4306.36	−	24422.6i	0.217889	−	1.23571i
$732$	−2143.07	+	12154.0i	−0.108211	+	0.613693i
$733$	−200.224	−	346.798i	−0.0100893	−	0.0174751i	0.860937	−	0.508712i	$-0.169878\pi$
$733$	−200.224	−	346.798i	−0.0100893	−	0.0174751i	−0.871026	+	0.491237i	$0.836545\pi$
$734$	3621.54	−	6272.69i	0.182117	−	0.315435i
$735$	15161.1	+	12721.6i	0.760849	+	0.638428i
$736$	−2029.87	−	738.813i	−0.101660	−	0.0370013i
$737$	7401.75	−	2694.02i	0.369942	−	0.134648i
$738$	4697.82	−	3941.94i	0.234322	−	0.196619i
$739$	2759.21	+	15648.2i	0.137347	+	0.778931i	0.973197	+	0.229974i	$0.0738640\pi$
$739$	2759.21	+	15648.2i	0.137347	+	0.778931i	−0.835850	+	0.548957i	$0.815025\pi$
$740$	−8372.39			−0.415912
$741$	1179.12	+	460.466i	0.0584562	+	0.0228281i
$742$	1316.04			0.0651124
$743$	4058.11	+	23014.7i	0.200374	+	1.13638i	0.904556	+	0.426356i	$0.140203\pi$
$743$	4058.11	+	23014.7i	0.200374	+	1.13638i	−0.704182	+	0.710020i	$0.748686\pi$
$744$	−4476.23	+	3756.00i	−0.220573	+	0.185083i
$745$	49088.4	−	17866.7i	2.41404	−	0.878639i
$746$	10656.7	+	3878.73i	0.523016	+	0.190362i
$747$	−8317.03	−	6978.82i	−0.407369	−	0.341823i
$748$	6885.80	−	11926.6i	0.336591	−	0.582992i
$749$	−1372.32	−	2376.93i	−0.0669474	−	0.115956i
$750$	383.879	−	2177.09i	0.0186897	−	0.105995i
$751$	5040.78	−	28587.7i	0.244928	−	1.38905i	−0.575732	−	0.817638i	$-0.695283\pi$
$751$	5040.78	−	28587.7i	0.244928	−	1.38905i	0.820660	−	0.571416i	$-0.193606\pi$
$752$	−2956.80	−	5121.33i	−0.143382	−	0.248346i
$753$	−3183.11	+	5513.31i	−0.154049	+	0.266821i
$754$	1630.91	+	1368.49i	0.0787721	+	0.0660977i
$755$	13827.3	+	5032.74i	0.666527	+	0.242596i
$756$	913.183	−	332.372i	0.0439314	−	0.0159897i
$757$	−23139.1	+	19416.0i	−1.11097	+	0.932215i	−0.998113	−	0.0613960i	$-0.980445\pi$
$757$	−23139.1	+	19416.0i	−1.11097	+	0.932215i	−0.112857	+	0.993611i	$0.536000\pi$
$758$	−3307.81	−	18759.5i	−0.158503	−	0.898914i
$759$	9947.61			0.475725
$760$	−1978.54	+	9873.40i	−0.0944331	+	0.471245i
$761$	−6718.85			−0.320050			−0.160025	−	0.987113i	$-0.551158\pi$
$761$	−6718.85			−0.320050			−0.160025	+	0.987113i	$0.551158\pi$
$762$	−767.084	−	4350.35i	−0.0364679	−	0.206820i
$763$	1502.27	−	1260.56i	0.0712791	−	0.0598102i
$764$	12372.8	−	4503.33i	0.585906	−	0.213253i
$765$	15783.9	+	5744.86i	0.745970	+	0.271511i
$766$	11194.7	+	9393.43i	0.528041	+	0.443079i
$767$	−1175.92	+	2036.75i	−0.0553584	+	0.0958836i
$768$	−489.670	−	848.134i	−0.0230071	−	0.0398495i
$769$	−5834.53	+	33089.3i	−0.273600	+	1.55166i	0.469773	+	0.882787i	$0.344336\pi$
$769$	−5834.53	+	33089.3i	−0.273600	+	1.55166i	−0.743373	+	0.668877i	$0.766775\pi$
$770$	−328.016	+	1860.27i	−0.0153518	+	0.0870643i
$771$	8670.68	+	15018.1i	0.405015	+	0.701507i
$772$	838.611	−	1452.52i	0.0390962	−	0.0677166i
$773$	−10041.6	−	8425.92i	−0.467234	−	0.392056i	0.378550	−	0.925581i	$-0.376423\pi$
$773$	−10041.6	−	8425.92i	−0.467234	−	0.392056i	−0.845785	+	0.533525i	$0.820867\pi$
$774$	−6447.99	−	2346.88i	−0.299442	−	0.108988i
$775$	19016.1	−	6921.30i	0.881392	−	0.320800i
$776$	10061.4	−	8442.52i	0.465442	−	0.390552i
$777$	147.592	+	837.038i	0.00681447	+	0.0386468i
$778$	502.455			0.0231541
$779$	19456.7	−	6573.83i	0.894878	−	0.302352i
$780$	929.189			0.0426543
$781$	−4776.49	−	27088.8i	−0.218843	−	1.24112i
$782$	−9243.75	+	7756.43i	−0.422706	+	0.354692i
$783$	−37703.6	+	13723.0i	−1.72084	+	0.626334i
$784$	5117.90	+	1862.76i	0.233141	+	0.0848562i
$785$	19532.9	+	16390.1i	0.888102	+	0.745206i
$786$	10118.2	−	17525.3i	0.459166	−	0.795299i
$787$	1782.70	+	3087.73i	0.0807451	+	0.139855i	0.903570	−	0.428440i	$-0.140937\pi$
$787$	1782.70	+	3087.73i	0.0807451	+	0.139855i	−0.822825	+	0.568295i	$0.807603\pi$
$788$	1413.71	−	8017.53i	0.0639102	−	0.362453i
$789$	−208.379	+	1181.78i	−0.00940241	+	0.0533237i
$790$	−7797.33	−	13505.4i	−0.351160	−	0.608227i
$791$	−991.136	+	1716.70i	−0.0445522	+	0.0771666i
$792$	−2919.02	−	2449.35i	−0.130963	−	0.109891i
$793$	−3027.98	−	1102.10i	−0.135595	−	0.0493525i
$794$	7789.38	−	2835.10i	0.348155	−	0.126718i
$795$	−18166.7	+	15243.7i	−0.810450	+	0.680048i
$796$	−1762.40	−	9995.05i	−0.0784755	−	0.445057i
$797$	5492.40			0.244104			0.122052	−	0.992524i	$-0.461053\pi$
$797$	5492.40			0.244104			0.122052	+	0.992524i	$0.461053\pi$
$798$	1021.98	+	23.7535i	0.0453355	+	0.00105372i
$799$	−33034.2			−1.46266
$800$	588.954	+	3340.12i	0.0260283	+	0.147614i
$801$	−4477.12	+	3756.75i	−0.197492	+	0.165716i
$802$	5320.57	−	1936.53i	0.234259	−	0.0852634i
$803$	−3856.76	−	1403.75i	−0.169492	−	0.0616900i
$804$	−2396.97	−	2011.30i	−0.105143	−	0.0882253i
$805$	827.570	−	1433.39i	0.0362335	−	0.0627583i
$806$	−762.834	−	1321.27i	−0.0333371	−	0.0577415i
$807$	1890.18	−	10719.7i	0.0824502	−	0.467598i
$808$	−2254.04	+	12783.3i	−0.0981395	+	0.556577i
$809$	−1529.51	−	2649.19i	−0.0664707	−	0.115131i	0.830875	−	0.556459i	$-0.187841\pi$
$809$	−1529.51	−	2649.19i	−0.0664707	−	0.115131i	−0.897345	+	0.441329i	$0.854507\pi$
$810$	−3681.68	+	6376.85i	−0.159705	+	0.276617i
$811$	20114.8	+	16878.3i	0.870932	+	0.730799i	0.964294	−	0.264834i	$-0.0853170\pi$
$811$	20114.8	+	16878.3i	0.870932	+	0.730799i	−0.0933623	+	0.995632i	$0.529761\pi$
$812$	1615.63	+	588.042i	0.0698246	+	0.0254141i
$813$	14540.6	−	5292.34i	0.627258	−	0.228303i
$814$	8127.75	−	6819.99i	0.349972	−	0.293662i
$815$	2307.50	+	13086.5i	0.0991756	+	0.562453i
$816$	−5470.73			−0.234698
$817$	−17255.3	−	15175.9i	−0.738905	−	0.649863i
$818$	18712.3			0.799828
$819$	13.8399	+	78.4898i	0.000590481	+	0.00334879i
$820$	11548.4	−	9690.26i	0.491814	−	0.412681i
$821$	−8189.50	+	2980.74i	−0.348131	+	0.126709i	−0.510167	−	0.860076i	$-0.670416\pi$
$821$	−8189.50	+	2980.74i	−0.348131	+	0.126709i	0.162036	+	0.986785i	$0.448194\pi$
$822$	−3041.45	−	1107.00i	−0.129054	−	0.0469719i
$823$	25509.6	+	21405.1i	1.08045	+	0.906603i	0.995958	−	0.0898210i	$-0.0286295\pi$
$823$	25509.6	+	21405.1i	1.08045	+	0.906603i	0.0844899	+	0.996424i	$0.473074\pi$
$824$	396.238	−	686.303i	0.0167519	−	0.0290152i
$825$	−7809.39	−	13526.3i	−0.329561	−	0.570817i
$826$	−329.806	+	1870.42i	−0.0138928	+	0.0787897i
$827$	−8183.52	+	46411.1i	−0.344098	+	1.95148i	−0.0387026	+	0.999251i	$0.512322\pi$
$827$	−8183.52	+	46411.1i	−0.344098	+	1.95148i	−0.305395	+	0.952226i	$0.598789\pi$
$828$	1669.41	+	2891.50i	0.0700676	+	0.121361i
$829$	3895.19	−	6746.68i	0.163191	−	0.282656i	−0.772820	−	0.634625i	$-0.781155\pi$
$829$	3895.19	−	6746.68i	0.163191	−	0.282656i	0.936012	+	0.351969i	$0.114488\pi$
$830$	−20445.3	−	17155.7i	−0.855020	−	0.717447i
$831$	−28223.9	−	10272.7i	−1.17819	−	0.428827i
$832$	240.282	−	87.4554i	0.0100123	−	0.00364420i
$833$	23306.2	−	19556.2i	0.969403	−	0.813426i
$834$	1830.03	+	10378.6i	0.0759818	+	0.430914i
$835$	−40873.5			−1.69400
$836$	−6121.96	−	11196.6i	−0.253268	−	0.463208i
$837$	28752.8			1.18739
$838$	−1147.58	−	6508.25i	−0.0473061	−	0.268286i
$839$	12692.0	−	10649.8i	0.522259	−	0.438227i	−0.343159	−	0.939277i	$-0.611497\pi$
$839$	12692.0	−	10649.8i	0.522259	−	0.438227i	0.865418	+	0.501050i	$0.167053\pi$
$840$	705.134	−	256.648i	0.0289636	−	0.0105419i
$841$	−43788.2	−	15937.6i	−1.79541	−	0.653475i
$842$	2402.30	+	2015.77i	0.0983240	+	0.0825036i
$843$	−354.743	+	614.433i	−0.0144935	+	0.0251034i
$844$	2660.40	+	4607.95i	0.108501	+	0.187929i
$845$	5756.11	−	32644.5i	0.234339	−	1.32900i
$846$	−1587.21	+	9001.49i	−0.0645027	+	0.365813i
$847$	−123.281	−	213.529i	−0.00500117	−	0.00866227i
$848$	−3263.05	+	5651.77i	−0.132139	+	0.228871i
$849$	−14992.4	−	12580.1i	−0.606051	−	0.508537i
$850$	17803.6	+	6479.99i	0.718423	+	0.261484i
$851$	−8735.99	+	3179.64i	−0.351899	+	0.128081i
$852$	−8370.54	+	7023.72i	−0.336585	+	0.282428i
$853$	−7211.29	−	40897.3i	−0.289461	−	1.64161i	−0.688902	−	0.724854i	$-0.741907\pi$
$853$	−7211.29	−	40897.3i	−0.289461	−	1.64161i	0.399442	−	0.916759i	$-0.369204\pi$
$854$	−2602.25			−0.104271
$855$	12152.1	−	9724.72i	0.486074	−	0.388981i
$856$	13610.4			0.543450
$857$	5777.75	+	32767.3i	0.230297	+	1.30608i	0.852296	+	0.523060i	$0.175210\pi$
$857$	5777.75	+	32767.3i	0.230297	+	1.30608i	−0.621999	+	0.783018i	$0.713679\pi$
$858$	−902.039	+	756.900i	−0.0358917	+	0.0301167i
$859$	−25454.8	+	9264.81i	−1.01107	+	0.367999i	−0.793843	−	0.608123i	$-0.791923\pi$
$859$	−25454.8	+	9264.81i	−1.01107	+	0.367999i	−0.217226	+	0.976121i	$0.569701\pi$
$860$	−15850.8	−	5769.20i	−0.628496	−	0.228754i
$861$	−1172.37	−	983.739i	−0.0464047	−	0.0389381i
$862$	−9995.25	+	17312.3i	−0.394942	+	0.684059i
$863$	−19758.7	−	34223.1i	−0.779368	−	1.34991i	−0.932306	−	0.361670i	$-0.882207\pi$
$863$	−19758.7	−	34223.1i	−0.779368	−	1.34991i	0.152938	−	0.988236i	$-0.451127\pi$
$864$	−836.809	+	4745.78i	−0.0329500	+	0.186869i
$865$	4791.99	−	27176.7i	0.188361	−	1.06825i
$866$	−9482.84	−	16424.8i	−0.372102	−	0.644499i
$867$	−5882.68	+	10189.1i	−0.230434	+	0.399123i
$868$	−943.833	−	791.970i	−0.0369076	−	0.0309691i
$869$	18570.7	+	6759.19i	0.724935	+	0.263855i
$870$	−29113.6	+	10596.5i	−1.13453	+	0.412936i
$871$	625.842	−	525.144i	0.0243466	−	0.0204292i
$872$	1688.69	+	9577.01i	0.0655804	+	0.371925i
$873$	−20300.9			−0.787034
$874$	1685.23	+	11053.6i	0.0652215	+	0.427796i
$875$	466.130			0.0180092
$876$	283.118	+	1605.64i	0.0109197	+	0.0619288i
$877$	−3730.15	+	3129.96i	−0.143624	+	0.120515i	−0.711769	−	0.702414i	$-0.752106\pi$
$877$	−3730.15	+	3129.96i	−0.143624	+	0.120515i	0.568145	+	0.822928i	$0.307661\pi$
$878$	−13130.3	+	4779.02i	−0.504698	+	0.183695i
$879$	−12863.5	−	4681.92i	−0.493600	−	0.179656i
$880$	−7175.67	−	6021.10i	−0.274877	−	0.230649i
$881$	13795.9	−	23895.2i	0.527577	−	0.913790i	−0.471906	−	0.881649i	$-0.656434\pi$
$881$	13795.9	−	23895.2i	0.527577	−	0.913790i	0.999483	−	0.0321414i	$-0.0102327\pi$
$882$	−4209.07	−	7290.33i	−0.160688	−	0.278320i
$883$	−5778.40	+	32771.0i	−0.220225	+	1.24896i	0.651381	+	0.758751i	$0.274190\pi$
$883$	−5778.40	+	32771.0i	−0.220225	+	1.24896i	−0.871606	+	0.490208i	$0.836921\pi$
$884$	248.037	−	1406.69i	0.00943710	−	0.0535205i
$885$	−17112.4	−	29639.6i	−0.649975	−	1.12579i
$886$	8703.04	−	15074.1i	0.330005	−	0.571586i
$887$	25970.6	+	21791.9i	0.983097	+	0.824916i	0.984554	−	0.175083i	$-0.0560193\pi$
$887$	25970.6	+	21791.9i	0.983097	+	0.824916i	−0.00145677	+	0.999999i	$0.500464\pi$
$888$	−3960.62	−	1441.55i	−0.149673	−	0.0544765i
$889$	875.268	−	318.572i	0.0330209	−	0.0120186i
$890$	−11005.9	+	9235.01i	−0.414514	+	0.347818i
$891$	−1620.37	−	9189.55i	−0.0609251	−	0.345524i
$892$	−11656.5			−0.437544
$893$	−15916.8	+	26146.2i	−0.596457	+	0.979787i
$894$	26297.9			0.983818
$895$	982.851	+	5574.02i	0.0367073	+	0.208178i
$896$	158.187	−	132.734i	0.00589805	−	0.00494905i
$897$	969.543	−	352.885i	0.0360893	−	0.0131354i
$898$	26218.8	+	9542.87i	0.974314	+	0.354621i
$899$	38969.0	+	32698.9i	1.44571	+	1.21309i
$900$	2621.15	−	4539.96i	0.0970795	−	0.168147i
$901$	18227.8	+	31571.6i	0.673982	+	1.16737i
$902$	−3317.46	+	18814.2i	−0.122460	+	0.694507i
$903$	−297.357	+	1686.40i	−0.0109584	+	0.0621481i
$904$	−4914.93	−	8512.90i	−0.180828	−	0.313202i
$905$	16336.0	−	28294.8i	0.600031	−	1.03928i
$906$	5674.59	+	4761.55i	0.208086	+	0.174605i
$907$	30016.1	+	10925.0i	1.09886	+	0.399954i	0.826897	−	0.562353i	$-0.190104\pi$
$907$	30016.1	+	10925.0i	1.09886	+	0.399954i	0.271966	+	0.962307i	$0.412326\pi$
$908$	3038.82	−	1106.04i	0.111065	−	0.0404242i
$909$	15369.3	−	12896.4i	0.560801	−	0.470568i
$910$	34.0218	+	192.947i	0.00123935	+	0.00702872i
$911$	21773.0			0.791847			0.395923	−	0.918284i	$-0.370425\pi$
$911$	21773.0			0.791847			0.395923	+	0.918284i	$0.370425\pi$
$912$	−2635.95	+	4330.02i	−0.0957074	+	0.157216i
$913$	33822.6			1.22603
$914$	−2453.48	−	13914.4i	−0.0887899	−	0.503552i
$915$	35921.6	−	30141.8i	1.29785	−	1.08902i
$916$	−16980.9	+	6180.55i	−0.612517	+	0.222938i
$917$	4009.61	+	1459.38i	0.144394	+	0.0525550i
$918$	20621.6	+	17303.6i	0.741409	+	0.622116i
$919$	−5496.75	+	9520.65i	−0.197303	+	0.341738i	−0.947653	−	0.319302i	$-0.896551\pi$
$919$	−5496.75	+	9520.65i	−0.197303	+	0.341738i	0.750350	+	0.661040i	$0.229885\pi$
$920$	4103.82	+	7108.02i	0.147064	+	0.254722i
$921$	499.965	−	2835.44i	0.0178875	−	0.101445i
$922$	1097.85	−	6226.20i	0.0392144	−	0.222396i
$923$	−1426.50	−	2470.77i	−0.0508708	−	0.0881108i
$924$	−475.469	+	823.537i	−0.0169284	+	0.0293208i
$925$	11181.7	+	9382.57i	0.397462	+	0.333510i
$926$	−16492.3	−	6002.72i	−0.585283	−	0.213026i
$927$	−1151.02	+	418.936i	−0.0407814	+	0.0148432i
$928$	−6531.23	+	5480.35i	−0.231032	+	0.193859i
$929$	6014.95	+	34112.5i	0.212427	+	1.20473i	0.885317	+	0.464988i	$0.153942\pi$
$929$	6014.95	+	34112.5i	0.212427	+	1.20473i	−0.672890	+	0.739742i	$0.734947\pi$
$930$	22202.1			0.782834
$931$	−4248.95	−	27869.4i	−0.149574	−	0.981076i
$932$	−12663.1			−0.445058
$933$	260.685	+	1478.42i	0.00914733	+	0.0518771i
$934$	−26457.9	+	22200.8i	−0.926906	+	0.777766i
$935$	−49170.6	+	17896.7i	−1.71984	+	0.625971i
$936$	−371.391	−	135.175i	−0.0129693	−	0.00472045i
$937$	−1354.71	−	1136.74i	−0.0472321	−	0.0396324i	0.618866	−	0.785497i	$-0.287592\pi$
$937$	−1354.71	−	1136.74i	−0.0472321	−	0.0396324i	−0.666098	+	0.745864i	$0.732037\pi$
$938$	329.885	−	571.377i	0.0114831	−	0.0198893i
$939$	5291.31	+	9164.82i	0.183893	+	0.318512i
$940$	−3901.74	+	22127.9i	−0.135384	+	0.767800i
$941$	4268.83	−	24209.8i	0.147885	−	0.838699i	−0.817120	−	0.576468i	$-0.804431\pi$
$941$	4268.83	−	24209.8i	0.147885	−	0.838699i	0.965005	−	0.262231i	$-0.0844582\pi$
$942$	6418.18	+	11116.6i	0.221991	+	0.384500i
$943$	8369.80	−	14496.9i	0.289033	−	0.500620i
$944$	−7214.83	−	6053.96i	−0.248753	−	0.208728i
$945$	−3469.71	−	1262.87i	−0.119439	−	0.0434722i
$946$	20087.1	−	7311.10i	0.690367	−	0.251273i
$947$	703.399	−	590.222i	0.0241366	−	0.0202530i	−0.630640	−	0.776076i	$-0.717207\pi$
$947$	703.399	−	590.222i	0.0241366	−	0.0202530i	0.654776	+	0.755823i	$0.272763\pi$
$948$	−1363.25	−	7731.35i	−0.0467048	−	0.264876i
$949$	−425.695			−0.0145613
$950$	13707.1	−	10969.1i	0.468124	−	0.374616i
$951$	21350.8			0.728022
$952$	−200.308	−	1136.00i	−0.00681935	−	0.0386744i
$953$	−7280.66	+	6109.20i	−0.247475	+	0.207656i	−0.758084	−	0.652157i	$-0.773864\pi$
$953$	−7280.66	+	6109.20i	−0.247475	+	0.207656i	0.510609	+	0.859813i	$0.329420\pi$
$954$	9478.72	−	3449.97i	0.321682	−	0.117083i
$955$	−47011.5	−	17110.8i	−1.59294	−	0.579782i
$956$	13399.8	+	11243.8i	0.453327	+	0.380386i
$957$	19631.2	−	34002.3i	0.663100	−	1.14852i
$958$	2180.31	+	3776.42i	0.0735311	+	0.127360i
$959$	118.508	−	672.091i	0.00399043	−	0.0226308i
$960$	−646.159	+	3664.55i	−0.0217236	+	0.123201i
$961$	−3331.69	−	5770.66i	−0.111836	−	0.193705i
$962$	550.235	−	953.036i	0.0184411	−	0.0319409i
$963$	−16115.2	−	13522.2i	−0.539256	−	0.452490i
$964$	10644.4	+	3874.26i	0.355637	+	0.129441i
$965$	−5988.42	+	2179.61i	−0.199766	+	0.0727088i
$966$	638.288	−	535.587i	0.0212594	−	0.0178387i
$967$	5068.67	+	28745.8i	0.168560	+	0.955950i	0.945318	+	0.326151i	$0.105752\pi$
$967$	5068.67	+	28745.8i	0.168560	+	0.955950i	−0.776758	+	0.629799i	$0.783137\pi$
$968$	1222.67			0.0405973
$969$	13585.1	+	24846.1i	0.450379	+	0.823707i
$970$	−49904.5			−1.65190
$971$	−5521.36	−	31313.2i	−0.182481	−	1.03490i	−0.929150	−	0.369704i	$-0.879459\pi$
$971$	−5521.36	−	31313.2i	−0.182481	−	1.03490i	0.746669	−	0.665196i	$-0.231652\pi$
$972$	9619.41	−	8071.64i	0.317431	−	0.266356i
$973$	−2088.13	+	760.015i	−0.0687998	+	0.0250411i
$974$	−9066.78	−	3300.04i	−0.298274	−	0.108563i
$975$	−1240.98	−	1041.30i	−0.0407621	−	0.0342035i
$976$	6452.12	−	11175.4i	0.211606	−	0.366512i
$977$	4949.16	+	8572.20i	0.162065	+	0.280705i	0.935609	−	0.353037i	$-0.114851\pi$
$977$	4949.16	+	8572.20i	0.162065	+	0.280705i	−0.773544	+	0.633743i	$0.781518\pi$
$978$	−1161.63	+	6587.95i	−0.0379805	+	0.215398i
$979$	3161.60	−	17930.3i	0.103213	−	0.585348i
$980$	−10346.9	−	17921.4i	−0.337266	−	0.584162i
$981$	7515.52	−	13017.3i	0.244599	−	0.423659i
$982$	17115.9	+	14361.9i	0.556202	+	0.466709i
$983$	14423.2	+	5249.61i	0.467984	+	0.170332i	0.565239	−	0.824927i	$-0.308784\pi$
$983$	14423.2	+	5249.61i	0.467984	+	0.170332i	−0.0972550	+	0.995259i	$0.531006\pi$
$984$	7131.52	−	2595.66i	0.231041	−	0.0840921i
$985$	−23696.2	+	19883.5i	−0.766522	+	0.643188i
$986$	8270.33	+	46903.4i	0.267121	+	1.51492i
$987$	2281.04			0.0735625
$988$	−993.867	−	874.101i	−0.0320032	−	0.0281466i
$989$	−18730.1			−0.602208
$990$	2514.14	+	14258.4i	0.0807116	+	0.457739i
$991$	9950.61	−	8349.55i	0.318962	−	0.267641i	−0.469222	−	0.883080i	$-0.655466\pi$
$991$	9950.61	−	8349.55i	0.318962	−	0.267641i	0.788185	+	0.615439i	$0.211021\pi$
$992$	5741.31	−	2089.66i	0.183757	−	0.0668820i
$993$	15084.0	+	5490.11i	0.482050	+	0.175452i
$994$	−1764.97	−	1480.98i	−0.0563192	−	0.0472574i
$995$	−19281.4	+	33396.4i	−0.614334	+	1.06406i
$996$	−6717.96	−	11635.9i	−0.213722	−	0.370177i
$997$	−7581.77	+	42998.4i	−0.240840	+	1.36587i	0.589120	+	0.808046i	$0.299475\pi$
$997$	−7581.77	+	42998.4i	−0.240840	+	1.36587i	−0.829959	+	0.557824i	$0.811637\pi$
$998$	5365.99	−	30432.1i	0.170198	−	0.965240i
$999$	10369.8	+	17961.0i	0.328414	+	0.568829i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	38.4.e.a.9.2	✓	12
19.6	even	9		722.4.a.p.1.5		6
19.13	odd	18		722.4.a.o.1.2		6
19.17	even	9	inner	38.4.e.a.17.2	yes	12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
38.4.e.a.9.2	✓	12	1.1	even	1	trivial
38.4.e.a.17.2	yes	12	19.17	even	9	inner
722.4.a.o.1.2		6	19.13	odd	18
722.4.a.p.1.5		6	19.6	even	9

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:	\( N \)	\(=\)	\( 38 = 2 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	38.e (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.347296 + 1.96962i) q^{2} +(2.93054 - 2.45902i) q^{3} +(-3.75877 + 1.36808i) q^{4} +(14.2818 + 5.19813i) q^{5} +(5.86108 + 4.91803i) q^{6} +(-0.806634 + 1.39713i) q^{7} +(-4.00000 - 6.92820i) q^{8} +(-2.14719 + 12.1773i) q^{9} +O(q^{10})\)	\(q+(0.347296 + 1.96962i) q^{2} +(2.93054 - 2.45902i) q^{3} +(-3.75877 + 1.36808i) q^{4} +(14.2818 + 5.19813i) q^{5} +(5.86108 + 4.91803i) q^{6} +(-0.806634 + 1.39713i) q^{7} +(-4.00000 - 6.92820i) q^{8} +(-2.14719 + 12.1773i) q^{9} +(-5.27832 + 29.9349i) q^{10} +(-19.2603 - 33.3598i) q^{11} +(-7.65110 + 13.2521i) q^{12} +(-3.06062 - 2.56816i) q^{13} +(-3.03195 - 1.10354i) q^{14} +(54.6355 - 19.8857i) q^{15} +(12.2567 - 10.2846i) q^{16} +(-15.5204 - 88.0204i) q^{17} -24.7304 q^{18} +(-77.1453 - 30.1265i) q^{19} -60.7933 q^{20} +(1.07169 + 6.07787i) q^{21} +(59.0169 - 49.5211i) q^{22} +(-63.4335 + 23.0879i) q^{23} +(-28.7587 - 10.4673i) q^{24} +(81.1923 + 68.1284i) q^{25} +(3.99535 - 6.92015i) q^{26} +(75.2967 + 130.418i) q^{27} +(1.12056 - 6.35503i) q^{28} +(-46.2659 + 262.387i) q^{29} +(58.1419 + 100.705i) q^{30} +(95.4652 - 165.351i) q^{31} +(24.5134 + 20.5692i) q^{32} +(-138.475 - 50.4009i) q^{33} +(167.976 - 61.1383i) q^{34} +(-18.7826 + 15.7605i) q^{35} +(-8.58876 - 48.7093i) q^{36} +137.719 q^{37} +(32.5453 - 162.409i) q^{38} -15.2844 q^{39} +(-21.1133 - 119.739i) q^{40} +(-189.962 + 159.397i) q^{41} +(-11.5989 + 4.22164i) q^{42} +(260.732 + 94.8987i) q^{43} +(118.034 + 99.0422i) q^{44} +(-93.9650 + 162.752i) q^{45} +(-67.5045 - 116.921i) q^{46} +(64.1805 - 363.985i) q^{47} +(10.6288 - 60.2789i) q^{48} +(170.199 + 294.793i) q^{49} +(-105.989 + 183.578i) q^{50} +(-261.927 - 219.782i) q^{51} +(15.0176 + 5.46596i) q^{52} +(-383.283 + 139.504i) q^{53} +(-230.722 + 193.599i) q^{54} +(-101.662 - 576.554i) q^{55} +12.9061 q^{56} +(-300.159 + 101.414i) q^{57} -532.869 q^{58} +(-102.217 - 579.700i) q^{59} +(-178.157 + 149.492i) q^{60} +(757.876 - 275.844i) q^{61} +(358.832 + 130.604i) q^{62} +(-15.2813 - 12.8225i) q^{63} +(-32.0000 + 55.4256i) q^{64} +(-30.3613 - 52.5873i) q^{65} +(51.1784 - 290.247i) q^{66} +(-35.5080 + 201.376i) q^{67} +(178.756 + 309.615i) q^{68} +(-129.121 + 223.644i) q^{69} +(-37.5652 - 31.5210i) q^{70} +(671.014 + 244.229i) q^{71} +(92.9558 - 33.8331i) q^{72} +(81.6202 - 68.4875i) q^{73} +(47.8293 + 271.253i) q^{74} +405.466 q^{75} +(331.187 + 7.69764i) q^{76} +62.1440 q^{77} +(-5.30822 - 30.1044i) q^{78} +(-393.010 + 329.775i) q^{79} +(228.508 - 83.1701i) q^{80} +(227.633 + 82.8518i) q^{81} +(-379.924 - 318.794i) q^{82} +(-439.020 + 760.404i) q^{83} +(-12.3433 - 21.3792i) q^{84} +(235.884 - 1337.76i) q^{85} +(-96.3626 + 546.500i) q^{86} +(509.629 + 882.704i) q^{87} +(-154.082 + 266.878i) q^{88} +(362.075 + 303.817i) q^{89} +(-353.193 - 128.552i) q^{90} +(6.05685 - 2.20451i) q^{91} +(206.846 - 173.564i) q^{92} +(-126.835 - 719.317i) q^{93} +739.201 q^{94} +(-945.168 - 831.271i) q^{95} +122.418 q^{96} +(285.092 + 1616.84i) q^{97} +(-521.519 + 437.606i) q^{98} +(447.589 - 162.909i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q - 9 q^{3} - 18 q^{6} + 21 q^{7} - 48 q^{8} - 27 q^{9}+O(q^{10}) \) 12 * q - 9 * q^3 - 18 * q^6 + 21 * q^7 - 48 * q^8 - 27 * q^9	\( 12 q - 9 q^{3} - 18 q^{6} + 21 q^{7} - 48 q^{8} - 27 q^{9} - 9 q^{11} + 36 q^{12} + 39 q^{13} - 138 q^{14} + 423 q^{15} + 69 q^{17} + 132 q^{18} - 462 q^{19} - 216 q^{20} - 279 q^{21} + 204 q^{22} - 66 q^{23} - 72 q^{24} + 342 q^{25} + 48 q^{26} + 189 q^{27} + 192 q^{28} + 159 q^{29} + 72 q^{31} - 1560 q^{33} + 408 q^{34} - 135 q^{35} - 108 q^{36} + 1116 q^{37} - 294 q^{38} - 1248 q^{39} + 147 q^{41} + 414 q^{42} - 117 q^{43} + 408 q^{44} + 1296 q^{45} + 528 q^{46} + 783 q^{47} + 288 q^{48} + 1413 q^{49} - 354 q^{50} - 2301 q^{51} - 348 q^{52} - 249 q^{53} - 540 q^{54} + 2187 q^{55} - 336 q^{56} - 2670 q^{57} - 1932 q^{58} - 4248 q^{59} + 324 q^{60} + 3114 q^{61} - 438 q^{62} + 363 q^{63} - 384 q^{64} + 495 q^{65} + 822 q^{66} + 3060 q^{67} + 408 q^{68} - 237 q^{69} - 270 q^{70} + 1686 q^{71} + 432 q^{72} + 1626 q^{73} + 90 q^{74} - 1854 q^{75} - 1416 q^{77} - 108 q^{78} - 327 q^{79} + 3483 q^{81} + 294 q^{82} + 927 q^{83} + 204 q^{84} - 3294 q^{85} + 1188 q^{86} + 2892 q^{87} - 72 q^{88} - 6366 q^{89} - 5076 q^{90} + 840 q^{91} - 156 q^{92} + 870 q^{93} + 3432 q^{94} + 513 q^{95} - 576 q^{96} - 8052 q^{97} + 378 q^{98} + 4494 q^{99}+O(q^{100}) \) 12 * q - 9 * q^3 - 18 * q^6 + 21 * q^7 - 48 * q^8 - 27 * q^9 - 9 * q^11 + 36 * q^12 + 39 * q^13 - 138 * q^14 + 423 * q^15 + 69 * q^17 + 132 * q^18 - 462 * q^19 - 216 * q^20 - 279 * q^21 + 204 * q^22 - 66 * q^23 - 72 * q^24 + 342 * q^25 + 48 * q^26 + 189 * q^27 + 192 * q^28 + 159 * q^29 + 72 * q^31 - 1560 * q^33 + 408 * q^34 - 135 * q^35 - 108 * q^36 + 1116 * q^37 - 294 * q^38 - 1248 * q^39 + 147 * q^41 + 414 * q^42 - 117 * q^43 + 408 * q^44 + 1296 * q^45 + 528 * q^46 + 783 * q^47 + 288 * q^48 + 1413 * q^49 - 354 * q^50 - 2301 * q^51 - 348 * q^52 - 249 * q^53 - 540 * q^54 + 2187 * q^55 - 336 * q^56 - 2670 * q^57 - 1932 * q^58 - 4248 * q^59 + 324 * q^60 + 3114 * q^61 - 438 * q^62 + 363 * q^63 - 384 * q^64 + 495 * q^65 + 822 * q^66 + 3060 * q^67 + 408 * q^68 - 237 * q^69 - 270 * q^70 + 1686 * q^71 + 432 * q^72 + 1626 * q^73 + 90 * q^74 - 1854 * q^75 - 1416 * q^77 - 108 * q^78 - 327 * q^79 + 3483 * q^81 + 294 * q^82 + 927 * q^83 + 204 * q^84 - 3294 * q^85 + 1188 * q^86 + 2892 * q^87 - 72 * q^88 - 6366 * q^89 - 5076 * q^90 + 840 * q^91 - 156 * q^92 + 870 * q^93 + 3432 * q^94 + 513 * q^95 - 576 * q^96 - 8052 * q^97 + 378 * q^98 + 4494 * q^99

Introduction

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