LMFDB - Embedded newform 138.4.e.c.73.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [138,4,Mod(13,138)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(138, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 14]))

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

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

chi := DirichletCharacter("138.13");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 138 = 2 \cdot 3 \cdot 23 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	138.e (of order $11$, degree $10$, 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:	$8.14226358079$
Analytic rank:	$0$
Dimension:	$30$
Relative dimension:	$3$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			73.1
Character	$\chi$	$=$	138.73
Dual form			138.4.e.c.121.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.830830 - 1.81926i) q^{2} +(-2.87848 + 0.845198i) q^{3} +(-2.61944 + 3.02300i) q^{4} +(-16.6025 - 10.6698i) q^{5} +(3.92916 + 4.53450i) q^{6} +(3.87830 + 26.9742i) q^{7} +(7.67594 + 2.25386i) q^{8} +(7.57128 - 4.86577i) q^{9} +O(q^{10})$	\(q+(-0.830830 - 1.81926i) q^{2} +(-2.87848 + 0.845198i) q^{3} +(-2.61944 + 3.02300i) q^{4} +(-16.6025 - 10.6698i) q^{5} +(3.92916 + 4.53450i) q^{6} +(3.87830 + 26.9742i) q^{7} +(7.67594 + 2.25386i) q^{8} +(7.57128 - 4.86577i) q^{9} +(-5.61729 + 39.0691i) q^{10} +(19.9028 - 43.5810i) q^{11} +(4.98498 - 10.9156i) q^{12} +(-3.77865 + 26.2811i) q^{13} +(45.8509 - 29.4666i) q^{14} +(56.8080 + 16.6803i) q^{15} +(-2.27704 - 15.8371i) q^{16} +(52.6573 + 60.7698i) q^{17} +(-15.1426 - 9.73153i) q^{18} +(79.2182 - 91.4227i) q^{19} +(75.7441 - 22.2405i) q^{20} +(-33.9621 - 74.3666i) q^{21} -95.8212 q^{22} +(11.5745 + 109.695i) q^{23} -24.0000 q^{24} +(109.872 + 240.586i) q^{25} +(50.9516 - 14.9607i) q^{26} +(-17.6812 + 20.4052i) q^{27} +(-91.7018 - 58.9332i) q^{28} +(-53.9368 - 62.2464i) q^{29} +(-16.8519 - 117.207i) q^{30} +(150.222 + 44.1093i) q^{31} +(-26.9201 + 17.3005i) q^{32} +(-20.4552 + 142.269i) q^{33} +(66.8070 - 146.287i) q^{34} +(223.419 - 489.219i) q^{35} +(-5.12333 + 35.6336i) q^{36} +(28.4686 - 18.2957i) q^{37} +(-232.139 - 68.1621i) q^{38} +(-11.3359 - 78.8432i) q^{39} +(-103.392 - 119.320i) q^{40} +(350.365 + 225.166i) q^{41} +(-107.076 + 123.572i) q^{42} +(-32.3525 + 9.49955i) q^{43} +(79.6111 + 174.324i) q^{44} -177.619 q^{45} +(189.948 - 112.195i) q^{46} -212.215 q^{47} +(19.9399 + 43.6623i) q^{48} +(-383.458 + 112.593i) q^{49} +(346.405 - 399.773i) q^{50} +(-202.936 - 130.419i) q^{51} +(-69.5496 - 80.2646i) q^{52} +(18.3315 + 127.498i) q^{53} +(51.8126 + 15.2136i) q^{54} +(-795.436 + 511.195i) q^{55} +(-31.0264 + 215.793i) q^{56} +(-150.758 + 330.113i) q^{57} +(-68.4303 + 149.841i) q^{58} +(-108.700 + 756.025i) q^{59} +(-199.230 + 128.037i) q^{60} +(-227.675 - 66.8515i) q^{61} +(-44.5628 - 309.941i) q^{62} +(160.614 + 185.358i) q^{63} +(53.8402 + 34.6010i) q^{64} +(343.148 - 396.014i) q^{65} +(275.819 - 80.9878i) q^{66} +(349.620 + 765.561i) q^{67} -321.640 q^{68} +(-126.031 - 305.972i) q^{69} -1075.64 q^{70} +(-420.111 - 919.915i) q^{71} +(69.0835 - 20.2847i) q^{72} +(171.319 - 197.713i) q^{73} +(-56.9372 - 36.5913i) q^{74} +(-519.607 - 599.659i) q^{75} +(68.8631 + 478.953i) q^{76} +(1252.75 + 367.840i) q^{77} +(-134.018 + 86.1283i) q^{78} +(-59.6301 + 414.737i) q^{79} +(-131.174 + 287.232i) q^{80} +(33.6486 - 73.6802i) q^{81} +(118.543 - 824.482i) q^{82} +(517.105 - 332.323i) q^{83} +(313.772 + 92.1318i) q^{84} +(-225.843 - 1570.77i) q^{85} +(44.1616 + 50.9652i) q^{86} +(207.867 + 133.588i) q^{87} +(250.998 - 289.667i) q^{88} +(1162.13 - 341.233i) q^{89} +(147.571 + 323.136i) q^{90} -723.564 q^{91} +(-361.927 - 252.350i) q^{92} -469.693 q^{93} +(176.315 + 386.076i) q^{94} +(-2290.68 + 672.605i) q^{95} +(62.8666 - 72.5520i) q^{96} +(1316.82 + 846.269i) q^{97} +(523.426 + 604.065i) q^{98} +(-61.3655 - 426.806i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 30 q + 6 q^{2} - 9 q^{3} - 12 q^{4} - 4 q^{5} + 18 q^{6} + 4 q^{7} + 24 q^{8} - 27 q^{9}+O(q^{10}) $ 30 * q + 6 * q^2 - 9 * q^3 - 12 * q^4 - 4 * q^5 + 18 * q^6 + 4 * q^7 + 24 * q^8 - 27 * q^9	\( 30 q + 6 q^{2} - 9 q^{3} - 12 q^{4} - 4 q^{5} + 18 q^{6} + 4 q^{7} + 24 q^{8} - 27 q^{9} - 36 q^{10} - 5 q^{11} - 36 q^{12} - 59 q^{13} + 36 q^{14} + 120 q^{15} - 48 q^{16} - 291 q^{17} + 54 q^{18} + 319 q^{19} + 160 q^{20} + 45 q^{21} + 384 q^{22} + 472 q^{23} - 720 q^{24} + 321 q^{25} + 250 q^{26} - 81 q^{27} - 72 q^{28} + 753 q^{29} - 108 q^{30} - 345 q^{31} + 96 q^{32} - 609 q^{33} + 164 q^{34} - 646 q^{35} - 108 q^{36} - 349 q^{37} + 242 q^{38} - 177 q^{39} - 56 q^{40} - 548 q^{41} - 24 q^{42} + 1800 q^{43} - 20 q^{44} - 1026 q^{45} + 46 q^{46} + 2666 q^{47} - 144 q^{48} - 1685 q^{49} + 414 q^{50} + 51 q^{51} - 280 q^{52} + 769 q^{53} + 162 q^{54} - 4188 q^{55} - 32 q^{56} - 1518 q^{57} - 1264 q^{58} + 2649 q^{59} - 48 q^{60} + 876 q^{61} + 8 q^{62} + 36 q^{63} - 192 q^{64} + 906 q^{65} - 300 q^{66} - 451 q^{67} - 1648 q^{68} + 459 q^{69} + 1512 q^{70} - 2161 q^{71} + 216 q^{72} - 1838 q^{73} + 698 q^{74} - 621 q^{75} + 264 q^{76} + 7182 q^{77} - 1098 q^{78} - 4324 q^{79} - 64 q^{80} - 243 q^{81} + 3736 q^{82} + 191 q^{83} - 84 q^{84} - 2734 q^{85} + 1086 q^{86} - 1074 q^{87} + 392 q^{88} + 4073 q^{89} + 72 q^{90} - 1970 q^{91} - 4624 q^{92} + 1506 q^{93} - 954 q^{94} + 2153 q^{95} + 288 q^{96} - 157 q^{97} - 2988 q^{98} - 1827 q^{99}+O(q^{100}) \) 30 * q + 6 * q^2 - 9 * q^3 - 12 * q^4 - 4 * q^5 + 18 * q^6 + 4 * q^7 + 24 * q^8 - 27 * q^9 - 36 * q^10 - 5 * q^11 - 36 * q^12 - 59 * q^13 + 36 * q^14 + 120 * q^15 - 48 * q^16 - 291 * q^17 + 54 * q^18 + 319 * q^19 + 160 * q^20 + 45 * q^21 + 384 * q^22 + 472 * q^23 - 720 * q^24 + 321 * q^25 + 250 * q^26 - 81 * q^27 - 72 * q^28 + 753 * q^29 - 108 * q^30 - 345 * q^31 + 96 * q^32 - 609 * q^33 + 164 * q^34 - 646 * q^35 - 108 * q^36 - 349 * q^37 + 242 * q^38 - 177 * q^39 - 56 * q^40 - 548 * q^41 - 24 * q^42 + 1800 * q^43 - 20 * q^44 - 1026 * q^45 + 46 * q^46 + 2666 * q^47 - 144 * q^48 - 1685 * q^49 + 414 * q^50 + 51 * q^51 - 280 * q^52 + 769 * q^53 + 162 * q^54 - 4188 * q^55 - 32 * q^56 - 1518 * q^57 - 1264 * q^58 + 2649 * q^59 - 48 * q^60 + 876 * q^61 + 8 * q^62 + 36 * q^63 - 192 * q^64 + 906 * q^65 - 300 * q^66 - 451 * q^67 - 1648 * q^68 + 459 * q^69 + 1512 * q^70 - 2161 * q^71 + 216 * q^72 - 1838 * q^73 + 698 * q^74 - 621 * q^75 + 264 * q^76 + 7182 * q^77 - 1098 * q^78 - 4324 * q^79 - 64 * q^80 - 243 * q^81 + 3736 * q^82 + 191 * q^83 - 84 * q^84 - 2734 * q^85 + 1086 * q^86 - 1074 * q^87 + 392 * q^88 + 4073 * q^89 + 72 * q^90 - 1970 * q^91 - 4624 * q^92 + 1506 * q^93 - 954 * q^94 + 2153 * q^95 + 288 * q^96 - 157 * q^97 - 2988 * q^98 - 1827 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/138\mathbb{Z}\right)^\times$.

$n$	$47$	$97$
$\chi(n)$	$1$	$e\left(\frac{2}{11}\right)$

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 $

$2$	−0.830830	−	1.81926i	−0.293743	−	0.643207i
$2$	−0.830830	−	1.81926i	−0.293743	−	0.643207i
$3$	−2.87848	+	0.845198i	−0.553964	+	0.162658i
$3$	−2.87848	+	0.845198i	−0.553964	+	0.162658i
$4$	−2.61944	+	3.02300i	−0.327430	+	0.377875i
$5$	−16.6025	−	10.6698i	−1.48497	−	0.954334i	−0.996660	−	0.0816662i	$-0.973976\pi$
$5$	−16.6025	−	10.6698i	−1.48497	−	0.954334i	−0.488314	−	0.872668i	$-0.662388\pi$
$6$	3.92916	+	4.53450i	0.267346	+	0.308533i
$7$	3.87830	+	26.9742i	0.209408	+	1.45647i	0.775094	+	0.631846i	$0.217703\pi$
$7$	3.87830	+	26.9742i	0.209408	+	1.45647i	−0.565685	+	0.824621i	$0.691388\pi$
$8$	7.67594	+	2.25386i	0.339232	+	0.0996075i
$9$	7.57128	−	4.86577i	0.280418	−	0.180214i
$10$	−5.61729	+	39.0691i	−0.177634	+	1.23547i
$11$	19.9028	−	43.5810i	0.545537	−	1.19456i	−0.413297	−	0.910596i	$-0.635623\pi$
$11$	19.9028	−	43.5810i	0.545537	−	1.19456i	0.958835	−	0.283964i	$-0.0916497\pi$
$12$	4.98498	−	10.9156i	0.119920	−	0.262588i
$13$	−3.77865	+	26.2811i	−0.0806160	+	0.560696i	0.908982	+	0.416836i	$0.136861\pi$
$13$	−3.77865	+	26.2811i	−0.0806160	+	0.560696i	−0.989598	+	0.143861i	$0.954048\pi$
$14$	45.8509	−	29.4666i	0.875298	−	0.562520i
$15$	56.8080	+	16.6803i	0.977852	+	0.287123i
$16$	−2.27704	−	15.8371i	−0.0355787	−	0.247455i
$17$	52.6573	+	60.7698i	0.751252	+	0.866991i	0.994689	−	0.102926i	$-0.0328205\pi$
$17$	52.6573	+	60.7698i	0.751252	+	0.866991i	−0.243437	+	0.969917i	$0.578275\pi$
$18$	−15.1426	−	9.73153i	−0.198285	−	0.127430i
$19$	79.2182	−	91.4227i	0.956521	−	1.10388i	−0.0379923	−	0.999278i	$-0.512096\pi$
$19$	79.2182	−	91.4227i	0.956521	−	1.10388i	0.994514	−	0.104607i	$-0.0333583\pi$
$20$	75.7441	−	22.2405i	0.846844	−	0.248656i
$21$	−33.9621	−	74.3666i	−0.352911	−	0.772768i
$22$	−95.8212			−0.928597
$23$	11.5745	+	109.695i	0.104933	+	0.994479i
$23$	11.5745	+	109.695i	0.104933	+	0.994479i
$24$	−24.0000			−0.204124
$25$	109.872	+	240.586i	0.878977	+	1.92469i
$26$	50.9516	−	14.9607i	0.384324	−	0.112848i
$27$	−17.6812	+	20.4052i	−0.126028	+	0.145444i
$28$	−91.7018	−	58.9332i	−0.618929	−	0.397762i
$29$	−53.9368	−	62.2464i	−0.345373	−	0.398582i	0.556313	−	0.830973i	$-0.312215\pi$
$29$	−53.9368	−	62.2464i	−0.345373	−	0.398582i	−0.901686	+	0.432391i	$0.857670\pi$
$30$	−16.8519	−	117.207i	−0.102557	−	0.713301i
$31$	150.222	+	44.1093i	0.870346	+	0.255557i	0.686263	−	0.727354i	$-0.259250\pi$
$31$	150.222	+	44.1093i	0.870346	+	0.255557i	0.184084	+	0.982911i	$0.441068\pi$
$32$	−26.9201	+	17.3005i	−0.148714	+	0.0955727i
$33$	−20.4552	+	142.269i	−0.107903	+	0.750479i
$34$	66.8070	−	146.287i	0.336980	−	0.737883i
$35$	223.419	−	489.219i	1.07899	−	2.36266i
$36$	−5.12333	+	35.6336i	−0.0237191	+	0.164970i
$37$	28.4686	−	18.2957i	0.126492	−	0.0812916i	−0.475865	−	0.879519i	$-0.657865\pi$
$37$	28.4686	−	18.2957i	0.126492	−	0.0812916i	0.602357	+	0.798227i	$0.294228\pi$
$38$	−232.139	−	68.1621i	−0.990997	−	0.290983i
$39$	−11.3359	−	78.8432i	−0.0465437	−	0.323718i
$40$	−103.392	−	119.320i	−0.408692	−	0.471655i
$41$	350.365	+	225.166i	1.33458	+	0.857684i	0.996513	−	0.0834373i	$-0.0265898\pi$
$41$	350.365	+	225.166i	1.33458	+	0.857684i	0.338069	+	0.941121i	$0.390226\pi$
$42$	−107.076	+	123.572i	−0.393385	+	0.453990i
$43$	−32.3525	+	9.49955i	−0.114737	+	0.0336900i	−0.338597	−	0.940931i	$-0.609952\pi$
$43$	−32.3525	+	9.49955i	−0.114737	+	0.0336900i	0.223860	+	0.974621i	$0.428134\pi$
$44$	79.6111	+	174.324i	0.272769	+	0.597280i
$45$	−177.619			−0.588397
$46$	189.948	−	112.195i	0.608833	−	0.359615i
$47$	−212.215			−0.658613			−0.329306	−	0.944223i	$-0.606815\pi$
$47$	−212.215			−0.658613			−0.329306	+	0.944223i	$0.606815\pi$
$48$	19.9399	+	43.6623i	0.0599600	+	0.131294i
$49$	−383.458	+	112.593i	−1.11795	+	0.328261i
$50$	346.405	−	399.773i	0.979781	−	1.13073i
$51$	−202.936	−	130.419i	−0.557189	−	0.358084i
$52$	−69.5496	−	80.2646i	−0.185477	−	0.214052i
$53$	18.3315	+	127.498i	0.0475098	+	0.330438i	0.999690	+	0.0249008i	$0.00792700\pi$
$53$	18.3315	+	127.498i	0.0475098	+	0.330438i	−0.952180	+	0.305537i	$0.901164\pi$
$54$	51.8126	+	15.2136i	0.130570	+	0.0383389i
$55$	−795.436	+	511.195i	−1.95012	+	1.25327i
$56$	−31.0264	+	215.793i	−0.0740371	+	0.514939i
$57$	−150.758	+	330.113i	−0.350322	+	0.767098i
$58$	−68.4303	+	149.841i	−0.154920	+	0.339227i
$59$	−108.700	+	756.025i	−0.239856	+	1.66824i	0.412981	+	0.910740i	$0.364488\pi$
$59$	−108.700	+	756.025i	−0.239856	+	1.66824i	−0.652837	+	0.757498i	$0.726421\pi$
$60$	−199.230	+	128.037i	−0.428675	+	0.275493i
$61$	−227.675	−	66.8515i	−0.477882	−	0.140319i	0.0339157	−	0.999425i	$-0.489202\pi$
$61$	−227.675	−	66.8515i	−0.477882	−	0.140319i	−0.511798	+	0.859106i	$0.671020\pi$
$62$	−44.5628	−	309.941i	−0.0912820	−	0.634881i
$63$	160.614	+	185.358i	0.321197	+	0.370681i
$64$	53.8402	+	34.6010i	0.105157	+	0.0675801i
$65$	343.148	−	396.014i	0.654805	−	0.755685i
$66$	275.819	−	80.9878i	0.514409	−	0.151044i
$67$	349.620	+	765.561i	0.637506	+	1.39594i	0.902076	+	0.431577i	$0.142043\pi$
$67$	349.620	+	765.561i	0.637506	+	1.39594i	−0.264570	+	0.964366i	$0.585230\pi$
$68$	−321.640			−0.573597
$69$	−126.031	−	305.972i	−0.219889	−	0.533837i
$70$	−1075.64			−1.83663
$71$	−420.111	−	919.915i	−0.702225	−	1.53766i	−0.837252	−	0.546817i	$-0.815839\pi$
$71$	−420.111	−	919.915i	−0.702225	−	1.53766i	0.135027	−	0.990842i	$-0.456888\pi$
$72$	69.0835	−	20.2847i	0.113077	−	0.0332025i
$73$	171.319	−	197.713i	0.274677	−	0.316994i	−0.601604	−	0.798794i	$-0.705471\pi$
$73$	171.319	−	197.713i	0.274677	−	0.316994i	0.876281	+	0.481800i	$0.160017\pi$
$74$	−56.9372	−	36.5913i	−0.0894435	−	0.0574819i
$75$	−519.607	−	599.659i	−0.799988	−	0.923235i
$76$	68.8631	+	478.953i	0.103936	+	0.722891i
$77$	1252.75	+	367.840i	1.85408	+	0.544407i
$78$	−134.018	+	86.1283i	−0.194546	+	0.125027i
$79$	−59.6301	+	414.737i	−0.0849229	+	0.590652i	0.902276	+	0.431159i	$0.141895\pi$
$79$	−59.6301	+	414.737i	−0.0849229	+	0.590652i	−0.987199	+	0.159493i	$0.949014\pi$
$80$	−131.174	+	287.232i	−0.183322	+	0.401419i
$81$	33.6486	−	73.6802i	0.0461572	−	0.101070i
$82$	118.543	−	824.482i	0.159644	−	1.11035i
$83$	517.105	−	332.323i	0.683851	−	0.439484i	−0.152044	−	0.988374i	$-0.548586\pi$
$83$	517.105	−	332.323i	0.683851	−	0.439484i	0.835895	+	0.548889i	$0.184949\pi$
$84$	313.772	+	92.1318i	0.407563	+	0.119671i
$85$	−225.843	−	1570.77i	−0.288190	−	2.00440i
$86$	44.1616	+	50.9652i	0.0553729	+	0.0639038i
$87$	207.867	+	133.588i	0.256157	+	0.164622i
$88$	250.998	−	289.667i	0.304051	−	0.350893i
$89$	1162.13	−	341.233i	1.38411	−	0.406412i	0.496913	−	0.867800i	$-0.334467\pi$
$89$	1162.13	−	341.233i	1.38411	−	0.406412i	0.887198	+	0.461389i	$0.152649\pi$
$90$	147.571	+	323.136i	0.172837	+	0.378461i
$91$	−723.564			−0.833518
$92$	−361.927	−	252.350i	−0.410147	−	0.285971i
$93$	−469.693			−0.523708
$94$	176.315	+	386.076i	0.193463	+	0.423624i
$95$	−2290.68	+	672.605i	−2.47388	+	0.726398i
$96$	62.8666	−	72.5520i	0.0668364	−	0.0771334i
$97$	1316.82	+	846.269i	1.37838	+	0.885830i	0.999220	−	0.0395010i	$-0.0125768\pi$
$97$	1316.82	+	846.269i	1.37838	+	0.885830i	0.379159	+	0.925331i	$0.376213\pi$
$98$	523.426	+	604.065i	0.539530	+	0.622651i
$99$	−61.3655	−	426.806i	−0.0622976	−	0.433289i
$100$	−1015.10	−	298.059i	−1.01510	−	0.298059i
$101$	657.957	−	422.843i	0.648209	−	0.416579i	−0.174802	−	0.984604i	$-0.555929\pi$
$101$	657.957	−	422.843i	0.648209	−	0.416579i	0.823011	+	0.568025i	$0.192292\pi$
$102$	−68.6612	+	477.549i	−0.0666517	+	0.463573i
$103$	242.551	−	531.114i	0.232032	−	0.508079i	−0.757422	−	0.652926i	$-0.773541\pi$
$103$	242.551	−	531.114i	0.232032	−	0.508079i	0.989454	+	0.144846i	$0.0462687\pi$
$104$	−88.2385	+	193.215i	−0.0831971	+	0.182176i
$105$	−229.620	+	1597.04i	−0.213415	+	1.48434i
$106$	216.723	−	139.279i	0.198584	−	0.127622i
$107$	−402.350	−	118.141i	−0.363520	−	0.106739i	0.0948712	−	0.995490i	$-0.469756\pi$
$107$	−402.350	−	118.141i	−0.363520	−	0.106739i	−0.458392	+	0.888750i	$0.651574\pi$
$108$	−15.3700	−	106.901i	−0.0136943	−	0.0952456i
$109$	337.307	+	389.273i	0.296405	+	0.342070i	0.884344	−	0.466836i	$-0.154606\pi$
$109$	337.307	+	389.273i	0.296405	+	0.342070i	−0.587939	+	0.808905i	$0.700061\pi$
$110$	1590.87	+	1022.39i	1.37894	+	0.886192i
$111$	−66.4829	+	76.7253i	−0.0568493	+	0.0656076i
$112$	418.363	−	122.842i	0.352960	−	0.103638i
$113$	−398.157	−	871.843i	−0.331465	−	0.725806i	0.668373	−	0.743826i	$-0.266991\pi$
$113$	−398.157	−	871.843i	−0.331465	−	0.725806i	−0.999838	+	0.0180201i	$0.994264\pi$
$114$	725.817			0.596307
$115$	978.257	−	1944.71i	0.793243	−	1.57692i
$116$	329.455			0.263700
$117$	99.2683	+	217.367i	0.0784390	+	0.171757i
$118$	1465.72	−	430.374i	1.14348	−	0.335756i
$119$	−1434.99	+	1656.07i	−1.10543	+	1.27573i
$120$	398.460	+	256.075i	0.303119	+	0.194803i
$121$	−631.563	−	728.863i	−0.474503	−	0.547605i
$122$	67.5389	+	469.744i	0.0501204	+	0.348595i
$123$	−1198.83	−	352.008i	−0.878819	−	0.258045i
$124$	−526.841	+	338.580i	−0.381546	+	0.245205i
$125$	391.771	−	2724.83i	0.280328	−	1.94973i
$126$	203.773	−	446.200i	0.144075	−	0.315481i
$127$	757.854	−	1659.47i	0.529517	−	1.15948i	−0.436191	−	0.899854i	$-0.643673\pi$
$127$	757.854	−	1659.47i	0.529517	−	1.15948i	0.965709	−	0.259627i	$-0.0835998\pi$
$128$	18.2163	−	126.697i	0.0125790	−	0.0874887i
$129$	85.0970	−	54.6885i	0.0580804	−	0.0373260i
$130$	−1005.55	−	295.257i	−0.678406	−	0.199198i
$131$	−1.87863	−	13.0662i	−0.00125295	−	0.00871448i	0.989185	−	0.146671i	$-0.0468558\pi$
$131$	−1.87863	−	13.0662i	−0.00125295	−	0.00871448i	−0.990438	+	0.137956i	$0.955947\pi$
$132$	−376.497	−	434.501i	−0.248257	−	0.286503i
$133$	2773.28	+	1782.28i	1.80808	+	1.16198i
$134$	1102.28	−	1272.10i	0.710618	−	0.820096i
$135$	511.272	−	150.123i	0.325951	−	0.0957077i
$136$	267.228	+	585.148i	0.168490	+	0.368941i
$137$	400.404			0.249699			0.124850	−	0.992176i	$-0.460155\pi$
$137$	400.404			0.249699			0.124850	+	0.992176i	$0.460155\pi$
$138$	−451.934	+	483.495i	−0.278777	+	0.298245i
$139$	1763.10			1.07585			0.537927	−	0.842991i	$-0.319207\pi$
$139$	1763.10			1.07585			0.537927	+	0.842991i	$0.319207\pi$
$140$	893.676	+	1956.88i	0.539496	+	1.18133i
$141$	610.858	−	179.364i	0.364848	−	0.107129i
$142$	−1324.53	+	1528.59i	−0.782759	+	0.903352i
$143$	1070.15	+	687.743i	0.625807	+	0.402182i
$144$	−94.2999	−	108.828i	−0.0545717	−	0.0629791i
$145$	231.331	+	1608.94i	0.132489	+	0.921484i
$146$	−502.030	−	147.409i	−0.284577	−	0.0835594i
$147$	1008.61	−	648.196i	0.565911	−	0.363689i
$148$	−19.2641	+	133.985i	−0.0106993	+	0.0744156i
$149$	−1175.53	+	2574.05i	−0.646329	+	1.41526i	0.248401	+	0.968657i	$0.420095\pi$
$149$	−1175.53	+	2574.05i	−0.646329	+	1.41526i	−0.894730	+	0.446607i	$0.852632\pi$
$150$	−659.232	+	1443.52i	−0.358841	+	0.785752i
$151$	−190.705	+	1326.38i	−0.102777	+	0.714830i	0.871650	+	0.490128i	$0.163050\pi$
$151$	−190.705	+	1326.38i	−0.102777	+	0.714830i	−0.974428	+	0.224702i	$0.927859\pi$
$152$	814.129	−	523.209i	0.434438	−	0.279196i
$153$	694.375	+	203.887i	0.366908	+	0.107734i
$154$	−371.623	−	2584.70i	−0.194456	−	1.35247i
$155$	−2023.43	−	2335.16i	−1.04855	−	1.21010i
$156$	268.037	+	172.257i	0.137565	+	0.0884075i
$157$	−2166.30	+	2500.04i	−1.10121	+	1.27086i	−0.141473	+	0.989942i	$0.545184\pi$
$157$	−2166.30	+	2500.04i	−1.10121	+	1.27086i	−0.959732	+	0.280917i	$0.909362\pi$
$158$	804.058	−	236.093i	0.404857	−	0.118877i
$159$	−160.528	−	351.507i	−0.0800673	−	0.175323i
$160$	631.534			0.312045
$161$	−2914.05	+	737.644i	−1.42645	+	0.361084i
$162$	−162.000			−0.0785674
$163$	−565.531	−	1238.34i	−0.271753	−	0.595057i	0.723720	−	0.690093i	$-0.242431\pi$
$163$	−565.531	−	1238.34i	−0.271753	−	0.595057i	−0.995474	+	0.0950364i	$0.969703\pi$
$164$	−1598.44	+	469.344i	−0.761080	+	0.223473i
$165$	1857.58	−	2143.77i	0.876441	−	1.01147i
$166$	−1034.21	−	664.646i	−0.483556	−	0.310762i
$167$	971.321	+	1120.96i	0.450078	+	0.519418i	0.934763	−	0.355271i	$-0.115611\pi$
$167$	971.321	+	1120.96i	0.450078	+	0.519418i	−0.484685	+	0.874689i	$0.661066\pi$
$168$	−93.0792	−	647.380i	−0.0427453	−	0.297300i
$169$	1431.59	+	420.353i	0.651611	+	0.191330i
$170$	−2670.01	+	1715.91i	−1.20459	+	0.774145i
$171$	154.942	−	1077.64i	0.0692907	−	0.481927i
$172$	56.0284	−	122.685i	0.0248379	−	0.0543875i
$173$	535.810	−	1173.26i	0.235473	−	0.515614i	−0.754597	−	0.656189i	$-0.772168\pi$
$173$	535.810	−	1173.26i	0.235473	−	0.515614i	0.990070	+	0.140574i	$0.0448948\pi$
$174$	70.3295	−	489.153i	0.0306418	−	0.213118i
$175$	−6063.50	+	3896.77i	−2.61918	+	1.68325i
$176$	−735.518	−	215.968i	−0.315010	−	0.0924953i
$177$	−326.100	−	2268.07i	−0.138481	−	0.963158i
$178$	−1586.33	−	1830.72i	−0.667979	−	0.770889i
$179$	−2540.38	−	1632.60i	−1.06077	−	0.681712i	−0.110728	−	0.993851i	$-0.535318\pi$
$179$	−2540.38	−	1632.60i	−1.06077	−	0.681712i	−0.950037	+	0.312138i	$0.898955\pi$
$180$	465.263	−	536.942i	0.192659	−	0.222340i
$181$	184.971	−	54.3124i	0.0759602	−	0.0223039i	−0.243532	−	0.969893i	$-0.578306\pi$
$181$	184.971	−	54.3124i	0.0759602	−	0.0223039i	0.319492	+	0.947589i	$0.396488\pi$
$182$	601.159	+	1316.35i	0.244840	+	0.536125i
$183$	711.861			0.287554
$184$	−158.392	+	868.101i	−0.0634609	+	0.347811i
$185$	−667.861			−0.265417
$186$	390.235	+	854.495i	0.153836	+	0.336853i
$187$	3696.44	−	1085.37i	1.44551	−	0.424440i
$188$	555.886	−	641.527i	0.215650	−	0.248873i
$189$	−618.987	−	397.799i	−0.238226	−	0.153099i
$190$	3126.81	+	3608.53i	1.19391	+	1.37785i
$191$	−22.5597	−	156.906i	−0.00854640	−	0.0594415i	0.985102	−	0.171971i	$-0.0550137\pi$
$191$	−22.5597	−	156.906i	−0.00854640	−	0.0594415i	−0.993648	+	0.112530i	$0.964105\pi$
$192$	−184.223	−	54.0927i	−0.0692454	−	0.0203323i
$193$	−1958.25	+	1258.49i	−0.730352	+	0.469368i	−0.852224	−	0.523177i	$-0.824747\pi$
$193$	−1958.25	+	1258.49i	−0.730352	+	0.469368i	0.121872	+	0.992546i	$0.461110\pi$
$194$	445.533	−	3098.75i	0.164883	−	1.14679i
$195$	−653.035	+	1429.95i	−0.239819	+	0.525131i
$196$	664.077	−	1454.12i	0.242010	−	0.529929i
$197$	−615.170	+	4278.60i	−0.222482	+	1.54740i	0.506121	+	0.862463i	$0.331079\pi$
$197$	−615.170	+	4278.60i	−0.222482	+	1.54740i	−0.728603	+	0.684936i	$0.759830\pi$
$198$	−725.489	+	466.243i	−0.260395	+	0.167346i
$199$	2761.50	+	810.850i	0.983707	+	0.288842i	0.733754	−	0.679415i	$-0.237767\pi$
$199$	2761.50	+	810.850i	0.983707	+	0.288842i	0.249953	+	0.968258i	$0.419585\pi$
$200$	301.124	+	2094.36i	0.106463	+	0.740469i
$201$	−1653.42	−	1908.15i	−0.580217	−	0.669606i
$202$	−1315.91	−	845.686i	−0.458353	−	0.294566i
$203$	1469.86	−	1696.31i	0.508197	−	0.586491i
$204$	925.834	−	271.849i	0.317752	−	0.0933003i
$205$	−3414.47	−	7476.64i	−1.16330	−	2.54728i
$206$	−1167.76			−0.394958
$207$	621.385	+	774.214i	0.208644	+	0.259959i
$208$	424.821			0.141616
$209$	−2407.63	−	5271.97i	−0.796839	−	1.74483i
$210$	3096.21	−	909.130i	1.01742	−	0.298743i
$211$	266.985	−	308.117i	0.0871091	−	0.100529i	−0.710522	−	0.703675i	$-0.751541\pi$
$211$	266.985	−	308.117i	0.0871091	−	0.100529i	0.797631	+	0.603146i	$0.206086\pi$
$212$	−433.445	−	278.558i	−0.140420	−	0.0902427i
$213$	1986.79	+	2292.88i	0.639120	+	0.737584i
$214$	119.356	+	830.137i	0.0381261	+	0.265173i
$215$	638.491	+	187.478i	0.202534	+	0.0594692i
$216$	−181.711	+	116.778i	−0.0572401	+	0.0367859i
$217$	−607.203	+	4223.19i	−0.189952	+	1.32115i
$218$	427.946	−	937.070i	0.132955	−	0.291130i
$219$	−326.033	+	713.912i	−0.100599	+	0.220282i
$220$	538.255	−	3743.65i	0.164951	−	1.14726i
$221$	−1796.07	+	1154.26i	−0.546682	+	0.351331i
$222$	194.820	+	57.2042i	0.0588984	+	0.0172941i
$223$	−452.104	−	3144.45i	−0.135763	−	0.944252i	−0.937849	−	0.347044i	$-0.887186\pi$
$223$	−452.104	−	3144.45i	−0.135763	−	0.944252i	0.802086	−	0.597208i	$-0.203723\pi$
$224$	−571.071	−	659.051i	−0.170341	−	0.196583i
$225$	2002.51	+	1286.93i	0.593336	+	0.381314i
$226$	−1255.31	+	1448.71i	−0.369478	+	0.426401i
$227$	−5030.41	+	1477.06i	−1.47084	+	0.431877i	−0.916372	−	0.400329i	$-0.868896\pi$
$227$	−5030.41	+	1477.06i	−1.47084	+	0.431877i	−0.554467	+	0.832206i	$0.687078\pi$
$228$	−603.031	−	1320.45i	−0.175161	−	0.383549i
$229$	3612.88			1.04256			0.521279	−	0.853386i	$-0.325455\pi$
$229$	3612.88			1.04256			0.521279	+	0.853386i	$0.325455\pi$
$230$	−4350.71	−	163.982i	−1.24729	−	0.0470116i
$231$	−3916.91			−1.11564
$232$	−273.721	−	599.366i	−0.0774598	−	0.169613i
$233$	2724.37	−	799.947i	0.766006	−	0.224920i	0.124689	−	0.992196i	$-0.460207\pi$
$233$	2724.37	−	799.947i	0.766006	−	0.224920i	0.641317	+	0.767276i	$0.278389\pi$
$234$	312.973	−	361.191i	0.0874347	−	0.100905i
$235$	3523.31	+	2264.29i	0.978023	+	0.628537i
$236$	−2000.73	−	2308.96i	−0.551849	−	0.636867i
$237$	−178.890	−	1244.21i	−0.0490303	−	0.341013i
$238$	4205.07	+	1234.72i	1.14527	+	0.336281i
$239$	−5694.27	+	3659.48i	−1.54114	+	0.990428i	−0.553646	+	0.832752i	$0.686764\pi$
$239$	−5694.27	+	3659.48i	−1.54114	+	0.990428i	−0.987491	+	0.157676i	$0.949600\pi$
$240$	134.815	−	937.659i	0.0362595	−	0.252190i
$241$	−153.471	+	336.056i	−0.0410206	+	0.0898226i	−0.929033	−	0.369997i	$-0.879359\pi$
$241$	−153.471	+	336.056i	−0.0410206	+	0.0898226i	0.888012	+	0.459820i	$0.152086\pi$
$242$	−801.272	+	1754.54i	−0.212842	+	0.466059i
$243$	−34.5825	+	240.527i	−0.00912950	+	0.0634971i
$244$	798.474	−	513.148i	0.209496	−	0.134635i
$245$	7567.71	+	2222.08i	1.97340	+	0.579443i
$246$	355.628	+	2473.45i	0.0921707	+	0.641061i
$247$	2103.35	+	2427.39i	0.541833	+	0.625309i
$248$	1053.68	+	677.160i	0.269794	+	0.173386i
$249$	−1207.60	+	1393.64i	−0.307343	+	0.354693i
$250$	−5282.67	+	1551.13i	−1.33642	+	0.392409i
$251$	634.899	+	1390.23i	0.159659	+	0.349605i	0.972508	−	0.232870i	$-0.0748117\pi$
$251$	634.899	+	1390.23i	0.159659	+	0.349605i	−0.812849	+	0.582475i	$0.802084\pi$
$252$	−981.055			−0.245241
$253$	5010.99	+	1678.81i	1.24521	+	0.417177i
$254$	−3648.66			−0.901328
$255$	1977.70	+	4330.56i	0.485680	+	1.06349i
$256$	−245.630	+	72.1235i	−0.0599683	+	0.0176083i
$257$	620.573	−	716.179i	0.150624	−	0.173829i	−0.675423	−	0.737430i	$-0.736039\pi$
$257$	620.573	−	716.179i	0.150624	−	0.173829i	0.826047	+	0.563601i	$0.190585\pi$
$258$	−170.194	−	109.377i	−0.0410691	−	0.0263935i
$259$	603.920	+	696.961i	0.144887	+	0.167209i
$260$	298.293	+	2074.67i	0.0711513	+	0.494868i
$261$	−711.247	−	208.841i	−0.168679	−	0.0495285i
$262$	−22.2100	+	14.2735i	−0.00523717	+	0.00336572i
$263$	471.759	−	3281.16i	0.110608	−	0.769296i	−0.856722	−	0.515778i	$-0.827503\pi$
$263$	471.759	−	3281.16i	0.110608	−	0.769296i	0.967331	−	0.253519i	$-0.0815879\pi$
$264$	−477.667	+	1045.94i	−0.111357	+	0.243839i
$265$	1056.03	−	2312.38i	0.244798	−	0.536032i
$266$	938.312	−	6526.10i	0.216284	−	1.50429i
$267$	−3056.77	+	1964.46i	−0.700641	+	0.450274i
$268$	−3230.10	−	948.443i	−0.736230	−	0.216177i
$269$	1026.86	+	7141.95i	0.232746	+	1.61878i	0.686138	+	0.727472i	$0.259305\pi$
$269$	1026.86	+	7141.95i	0.232746	+	1.61878i	−0.453392	+	0.891311i	$0.649786\pi$
$270$	−697.894	−	805.413i	−0.157305	−	0.181540i
$271$	−7442.73	−	4783.15i	−1.66832	−	1.07216i	−0.904227	−	0.427052i	$-0.859552\pi$
$271$	−7442.73	−	4783.15i	−1.66832	−	1.07216i	−0.764090	−	0.645110i	$-0.776812\pi$
$272$	842.517	−	972.317i	0.187813	−	0.216748i
$273$	2082.76	−	611.555i	0.461739	−	0.135579i
$274$	−332.667	−	728.440i	−0.0733473	−	0.160608i
$275$	12671.7			2.77867
$276$	1255.09	+	420.485i	0.273722	+	0.0917038i
$277$	−1736.21			−0.376603			−0.188301	−	0.982111i	$-0.560298\pi$
$277$	−1736.21			−0.376603			−0.188301	+	0.982111i	$0.560298\pi$
$278$	−1464.83	−	3207.54i	−0.316025	−	0.691997i
$279$	1352.00	−	396.983i	0.290115	−	0.0851856i
$280$	2817.58	−	3251.66i	0.601367	−	0.694015i
$281$	310.709	+	199.680i	0.0659620	+	0.0423912i	0.573206	−	0.819411i	$-0.305699\pi$
$281$	310.709	+	199.680i	0.0659620	+	0.0423912i	−0.507244	+	0.861802i	$0.669336\pi$
$282$	−833.829	−	962.291i	−0.176077	−	0.203204i
$283$	83.0351	+	577.522i	0.0174414	+	0.121308i	0.996682	−	0.0813935i	$-0.0259370\pi$
$283$	83.0351	+	577.522i	0.0174414	+	0.121308i	−0.979241	+	0.202701i	$0.935028\pi$
$284$	3881.36	+	1139.67i	0.810972	+	0.238123i
$285$	6025.19	−	3872.16i	1.25229	−	0.804796i
$286$	362.074	−	2518.28i	0.0748598	−	0.520661i
$287$	−4714.85	+	10324.1i	−0.969716	+	2.12338i
$288$	−119.640	+	261.974i	−0.0244786	+	0.0536006i
$289$	−220.981	+	1536.96i	−0.0449789	+	0.312835i
$290$	2734.89	−	1757.61i	0.553787	−	0.355898i
$291$	−4505.70	−	1322.99i	−0.907659	−	0.266513i
$292$	148.925	+	1035.80i	0.0298465	+	0.207587i
$293$	2796.57	+	3227.42i	0.557603	+	0.643508i	0.962638	−	0.270793i	$-0.0872860\pi$
$293$	2796.57	+	3227.42i	0.557603	+	0.643508i	−0.405035	+	0.914301i	$0.632741\pi$
$294$	−2017.22	−	1296.39i	−0.400160	−	0.257167i
$295$	9871.31	−	11392.1i	1.94824	−	2.24839i
$296$	259.759	−	76.2723i	0.0510075	−	0.0149771i
$297$	537.375	+	1176.69i	0.104989	+	0.229893i
$298$	5659.54			1.10016
$299$	−2926.64	−	110.308i	−0.566060	−	0.0213353i
$300$	3173.85			0.610808
$301$	−381.715	−	835.840i	−0.0730953	−	0.160056i
$302$	2571.48	−	755.055i	0.489974	−	0.143869i
$303$	−1536.53	+	1773.25i	−0.291324	+	0.336206i
$304$	−1628.26	−	1046.42i	−0.307194	−	0.197422i
$305$	3066.69	+	3539.15i	0.575732	+	0.664430i
$306$	−205.984	−	1432.65i	−0.0384814	−	0.267644i
$307$	−5838.22	−	1714.26i	−1.08536	−	0.318690i	−0.310338	−	0.950626i	$-0.600442\pi$
$307$	−5838.22	−	1714.26i	−1.08536	−	0.318690i	−0.775020	+	0.631936i	$0.782260\pi$
$308$	−4393.49	+	2823.52i	−0.812799	+	0.522354i
$309$	−249.283	+	1733.80i	−0.0458940	+	0.319199i
$310$	−2567.15	+	5621.28i	−0.470337	+	1.02989i
$311$	3072.11	−	6726.98i	0.560139	−	1.22653i	−0.391744	−	0.920074i	$-0.628128\pi$
$311$	3072.11	−	6726.98i	0.560139	−	1.22653i	0.951884	−	0.306460i	$-0.0991445\pi$
$312$	90.6875	−	630.745i	0.0164557	−	0.114452i
$313$	−5384.82	+	3460.61i	−0.972422	+	0.624937i	−0.927409	−	0.374049i	$-0.877969\pi$
$313$	−5384.82	+	3460.61i	−0.972422	+	0.624937i	−0.0450128	+	0.998986i	$0.514333\pi$
$314$	6348.05	+	1863.96i	1.14090	+	0.334997i
$315$	−688.859	−	4791.12i	−0.123215	−	0.856981i
$316$	−1097.55	−	1266.64i	−0.195386	−	0.225488i
$317$	214.648	+	137.946i	0.0380310	+	0.0244411i	0.559518	−	0.828818i	$-0.310986\pi$
$317$	214.648	+	137.946i	0.0380310	+	0.0244411i	−0.521487	+	0.853259i	$0.674623\pi$
$318$	−506.113	+	584.085i	−0.0892497	+	0.103000i
$319$	−3786.25	+	1111.74i	−0.664544	+	0.195128i
$320$	−524.697	−	1148.93i	−0.0916609	−	0.200709i
$321$	1258.01			0.218739
$322$	3763.05	+	4688.56i	0.651262	+	0.811439i
$323$	9727.16			1.67565
$324$	134.594	+	294.721i	0.0230786	+	0.0505351i
$325$	−6738.03	+	1978.46i	−1.15003	+	0.337678i
$326$	−1783.01	+	2057.70i	−0.302919	+	0.349587i
$327$	−1299.94	−	835.423i	−0.219838	−	0.141281i
$328$	2181.89	+	2518.04i	0.367301	+	0.423888i
$329$	−823.035	−	5724.33i	−0.137919	−	0.959248i
$330$	−5443.41	−	1598.33i	−0.908030	−	0.266622i
$331$	−3026.01	+	1944.70i	−0.502491	+	0.322931i	−0.767212	−	0.641394i	$-0.778356\pi$
$331$	−3026.01	+	1944.70i	−0.502491	+	0.322931i	0.264721	+	0.964325i	$0.414720\pi$
$332$	−349.915	+	2433.71i	−0.0578435	+	0.402311i
$333$	126.521	−	277.043i	0.0208208	−	0.0455912i
$334$	1232.33	−	2698.42i	0.201886	−	0.442069i
$335$	2363.80	−	16440.6i	0.385517	−	2.68133i
$336$	−1100.42	+	707.198i	−0.178669	+	0.114824i
$337$	−150.569	−	44.2112i	−0.0243384	−	0.00714640i	0.269541	−	0.962989i	$-0.413128\pi$
$337$	−150.569	−	44.2112i	−0.0243384	−	0.00714640i	−0.293879	+	0.955843i	$0.594946\pi$
$338$	−424.675	−	2953.68i	−0.0683411	−	0.475323i
$339$	1882.97	+	2173.06i	0.301678	+	0.348155i
$340$	5340.03	+	3431.83i	0.851776	+	0.547403i
$341$	4912.17	−	5668.94i	0.780084	−	0.900265i
$342$	−2089.25	+	613.459i	−0.330332	+	0.0969944i
$343$	−641.278	−	1404.20i	−0.100950	−	0.221049i
$344$	−269.747			−0.0422784
$345$	−1172.23	+	6424.64i	−0.182929	+	1.00258i
$346$	−2579.64			−0.400815
$347$	−3241.03	−	7096.86i	−0.501404	−	1.09792i	−0.976010	−	0.217724i	$-0.930137\pi$
$347$	−3241.03	−	7096.86i	−0.501404	−	1.09792i	0.474606	−	0.880198i	$-0.342591\pi$
$348$	−948.330	+	278.455i	−0.146080	+	0.0428929i
$349$	4768.72	−	5503.40i	0.731415	−	0.844098i	−0.261216	−	0.965281i	$-0.584123\pi$
$349$	4768.72	−	5503.40i	0.731415	−	0.844098i	0.992630	+	0.121183i	$0.0386688\pi$
$350$	12127.0	+	7793.54i	1.85204	+	1.19024i
$351$	−469.460	−	541.786i	−0.0713901	−	0.0823886i
$352$	218.188	+	1517.53i	0.0330383	+	0.229786i
$353$	−852.373	−	250.279i	−0.128519	−	0.0377366i	0.216840	−	0.976207i	$-0.430425\pi$
$353$	−852.373	−	250.279i	−0.128519	−	0.0377366i	−0.345360	+	0.938470i	$0.612243\pi$
$354$	−3855.29	+	2477.65i	−0.578832	+	0.371993i
$355$	−2840.40	+	19755.4i	−0.424655	+	2.95354i
$356$	−2012.59	+	4406.97i	−0.299627	+	0.656092i
$357$	2730.89	−	5979.82i	0.404857	−	0.886514i
$358$	−859.512	+	5978.04i	−0.126890	+	0.882540i
$359$	−8723.45	+	5606.22i	−1.28247	+	0.824193i	−0.991190	−	0.132446i	$-0.957717\pi$
$359$	−8723.45	+	5606.22i	−1.28247	+	0.824193i	−0.291279	+	0.956638i	$0.594081\pi$
$360$	−1363.39	−	400.328i	−0.199603	−	0.0586088i
$361$	−1106.45	−	7695.50i	−0.161313	−	1.12196i
$362$	−252.488	−	291.387i	−0.0366588	−	0.0423065i
$363$	2433.97	+	1564.22i	0.351930	+	0.226172i
$364$	1895.34	−	2187.33i	0.272919	−	0.314965i
$365$	−4953.89	+	1454.59i	−0.710407	+	0.208594i
$366$	−591.436	−	1295.06i	−0.0844668	−	0.184956i
$367$	9037.20			1.28539			0.642694	−	0.766123i	$-0.277816\pi$
$367$	9037.20			1.28539			0.642694	+	0.766123i	$0.277816\pi$
$368$	1710.90	−	433.088i	0.242356	−	0.0613485i
$369$	3748.32			0.528807
$370$	554.879	+	1215.02i	0.0779643	+	0.170718i
$371$	−3368.06	+	988.952i	−0.471324	+	0.138393i
$372$	1230.33	−	1419.88i	0.171478	−	0.197896i
$373$	−2052.75	−	1319.22i	−0.284953	−	0.183128i	0.390354	−	0.920665i	$-0.372353\pi$
$373$	−2052.75	−	1319.22i	−0.284953	−	0.183128i	−0.675307	+	0.737537i	$0.735989\pi$
$374$	−5045.69	−	5823.03i	−0.697610	−	0.805085i
$375$	1175.31	+	8174.48i	0.161848	+	1.12568i
$376$	−1628.95	−	478.304i	−0.223423	−	0.0656028i
$377$	1839.71	−	1182.31i	0.251326	−	0.161517i
$378$	−209.428	+	1456.60i	−0.0284969	+	0.198200i
$379$	3104.60	−	6798.13i	0.420772	−	0.921363i	−0.573963	−	0.818881i	$-0.694595\pi$
$379$	3104.60	−	6798.13i	0.420772	−	0.921363i	0.994735	−	0.102481i	$-0.0326782\pi$
$380$	3967.03	−	8686.58i	0.535537	−	1.17266i
$381$	−778.888	+	5417.29i	−0.104734	+	0.728441i
$382$	−266.710	+	171.404i	−0.0357228	+	0.0229576i
$383$	−850.916	−	249.851i	−0.113524	−	0.0333337i	0.224477	−	0.974479i	$-0.427933\pi$
$383$	−850.916	−	249.851i	−0.113524	−	0.0333337i	−0.338001	+	0.941146i	$0.609751\pi$
$384$	54.6489	+	380.091i	0.00726247	+	0.0505116i
$385$	−16874.0	−	19473.6i	−2.23371	−	2.57784i
$386$	3916.50	+	2516.98i	0.516437	+	0.331894i
$387$	−198.727	+	229.344i	−0.0261030	+	0.0301245i
$388$	−6007.60	+	1763.99i	−0.786056	+	0.230807i
$389$	2857.74	+	6257.57i	0.372476	+	0.815608i	0.999335	+	0.0364753i	$0.0116130\pi$
$389$	2857.74	+	6257.57i	0.372476	+	0.815608i	−0.626859	+	0.779133i	$0.715660\pi$
$390$	3144.01			0.408213
$391$	−6056.67	+	6479.64i	−0.783373	+	0.838080i
$392$	−3197.17			−0.411943
$393$	16.4511	+	36.0229i	0.00211157	+	0.00462370i
$394$	8295.00	−	2435.63i	1.06065	−	0.311435i
$395$	5415.16	−	6249.43i	0.689788	−	0.796058i
$396$	1450.98	+	932.487i	0.184127	+	0.118331i
$397$	−611.376	−	705.565i	−0.0772898	−	0.0891972i	0.715788	−	0.698318i	$-0.246068\pi$
$397$	−611.376	−	705.565i	−0.0772898	−	0.0891972i	−0.793077	+	0.609121i	$0.791522\pi$
$398$	−819.188	−	5697.58i	−0.103171	−	0.717573i
$399$	−9489.21	−	2786.28i	−1.19061	−	0.349596i
$400$	3560.02	−	2287.88i	0.445002	−	0.285985i
$401$	2151.18	−	14961.8i	0.267892	−	1.86323i	−0.200476	−	0.979699i	$-0.564249\pi$
$401$	2151.18	−	14961.8i	0.267892	−	1.86323i	0.468368	−	0.883533i	$-0.344842\pi$
$402$	−2097.72	+	4593.37i	−0.260261	+	0.569891i
$403$	−1726.87	+	3781.33i	−0.213454	+	0.467398i
$404$	−445.226	+	3096.61i	−0.0548288	+	0.381342i
$405$	−1344.80	+	864.252i	−0.164997	+	0.106037i
$406$	−4307.24	−	1264.72i	−0.526514	−	0.154599i
$407$	−230.739	−	1604.83i	−0.0281015	−	0.195450i
$408$	−1263.78	−	1458.48i	−0.153349	−	0.176974i
$409$	8106.88	+	5209.97i	0.980096	+	0.629869i	0.929489	−	0.368849i	$-0.120248\pi$
$409$	8106.88	+	5209.97i	0.980096	+	0.629869i	0.0506066	+	0.998719i	$0.483885\pi$
$410$	−10765.1	+	12423.6i	−1.29671	+	1.49649i
$411$	−1152.55	+	338.420i	−0.138324	+	0.0406157i
$412$	970.206	+	2124.45i	0.116016	+	0.254040i
$413$	−20814.7			−2.47996
$414$	892.234	−	1773.70i	0.105920	−	0.210562i
$415$	−12131.1			−1.43492
$416$	−352.954	−	772.862i	−0.0415985	−	0.0910881i
$417$	−5075.03	+	1490.16i	−0.595984	+	0.174997i
$418$	−7590.78	+	8760.23i	−0.888223	+	1.02506i
$419$	3260.92	+	2095.66i	0.380206	+	0.244344i	0.716759	−	0.697321i	$-0.245625\pi$
$419$	3260.92	+	2095.66i	0.380206	+	0.244344i	−0.336553	+	0.941665i	$0.609261\pi$
$420$	−4226.37	−	4877.50i	−0.491014	−	0.566661i
$421$	92.3599	+	642.377i	0.0106920	+	0.0743647i	0.994469	−	0.105032i	$-0.0334945\pi$
$421$	92.3599	+	642.377i	0.0106920	+	0.0743647i	−0.983777	+	0.179397i	$0.942585\pi$
$422$	−782.366	−	229.723i	−0.0902488	−	0.0264994i
$423$	−1606.74	+	1032.59i	−0.184687	+	0.118691i
$424$	−146.652	+	1019.99i	−0.0167973	+	0.116828i
$425$	−8834.81	+	19345.5i	−1.00836	+	2.20799i
$426$	2520.67	−	5519.49i	0.286682	−	0.627747i
$427$	920.270	−	6400.62i	0.104297	−	0.725404i
$428$	1411.07	−	906.842i	0.159362	−	0.102416i
$429$	−3661.68	−	1075.17i	−0.412092	−	0.121001i
$430$	−189.406	−	1317.35i	−0.0212418	−	0.147740i
$431$	8400.41	+	9694.59i	0.938825	+	1.08346i	0.996371	+	0.0851189i	$0.0271270\pi$
$431$	8400.41	+	9694.59i	0.938825	+	1.08346i	−0.0575458	+	0.998343i	$0.518328\pi$
$432$	363.422	+	233.557i	0.0404748	+	0.0260116i
$433$	−7507.16	+	8663.73i	−0.833190	+	0.961552i	−0.999700	−	0.0244874i	$-0.992205\pi$
$433$	−7507.16	+	8663.73i	−0.833190	+	0.961552i	0.166510	+	0.986040i	$0.446750\pi$
$434$	8187.58	−	2404.09i	0.905568	−	0.265899i
$435$	−2025.75	−	4435.78i	−0.223281	−	0.488918i
$436$	−2060.33			−0.226311
$437$	10945.5	+	7631.68i	1.19816	+	0.835407i
$438$	1569.67			0.171237
$439$	1063.69	+	2329.16i	0.115643	+	0.253223i	0.958599	−	0.284760i	$-0.0919138\pi$
$439$	1063.69	+	2329.16i	0.115643	+	0.253223i	−0.842956	+	0.537983i	$0.819187\pi$
$440$	−7257.88	+	2131.11i	−0.786377	+	0.230901i
$441$	−2355.42	+	2718.29i	−0.254337	+	0.293521i
$442$	3592.14	+	2308.53i	0.386562	+	0.248428i
$443$	3475.31	+	4010.73i	0.372725	+	0.430148i	0.910863	−	0.412709i	$-0.135417\pi$
$443$	3475.31	+	4010.73i	0.372725	+	0.430148i	−0.538138	+	0.842857i	$0.680872\pi$
$444$	−57.7924	−	401.955i	−0.00617727	−	0.0429639i
$445$	−22935.2	−	6734.38i	−2.44322	−	0.717394i
$446$	−5344.97	+	3435.00i	−0.567470	+	0.364691i
$447$	1208.15	−	8402.90i	0.127838	−	0.889136i
$448$	−724.525	+	1586.49i	−0.0764075	+	0.167309i
$449$	−53.8589	+	117.935i	−0.00566093	+	0.0123957i	−0.912441	−	0.409208i	$-0.865805\pi$
$449$	−53.8589	+	117.935i	−0.00566093	+	0.0123957i	0.906780	+	0.421603i	$0.138532\pi$
$450$	677.529	−	4712.32i	0.0709756	−	0.493646i
$451$	16786.2	−	10787.8i	1.75262	−	1.12634i
$452$	3678.53	+	1080.11i	0.382795	+	0.112399i
$453$	−572.114	−	3979.14i	−0.0593383	−	0.412707i
$454$	6866.59	+	7924.46i	0.709835	+	0.819193i
$455$	12013.0	+	7720.27i	1.23775	+	0.795455i
$456$	−1901.24	+	2194.14i	−0.195249	+	0.225329i
$457$	13085.1	−	3842.12i	1.33937	−	0.393275i	0.467927	−	0.883767i	$-0.345001\pi$
$457$	13085.1	−	3842.12i	1.33937	−	0.393275i	0.871446	+	0.490491i	$0.163183\pi$
$458$	−3001.69	−	6572.78i	−0.306244	−	0.670581i
$459$	−2171.07			−0.220777
$460$	3316.37	+	8051.33i	0.336145	+	0.816077i
$461$	−7439.15			−0.751575			−0.375787	−	0.926706i	$-0.622628\pi$
$461$	−7439.15			−0.751575			−0.375787	+	0.926706i	$0.622628\pi$
$462$	3254.29	+	7125.90i	0.327712	+	0.717590i
$463$	−2867.08	+	841.851i	−0.287785	+	0.0845014i	−0.422439	−	0.906391i	$-0.638826\pi$
$463$	−2867.08	+	841.851i	−0.287785	+	0.0845014i	0.134654	+	0.990893i	$0.457008\pi$
$464$	−862.989	+	995.943i	−0.0863432	+	0.0996454i
$465$	7798.08	+	5011.52i	0.777693	+	0.499793i
$466$	−3718.80	−	4291.73i	−0.369678	−	0.426632i
$467$	927.150	+	6448.47i	0.0918702	+	0.638971i	0.982778	+	0.184788i	$0.0591598\pi$
$467$	927.150	+	6448.47i	0.0918702	+	0.638971i	−0.890908	+	0.454183i	$0.849931\pi$
$468$	−917.129	−	269.293i	−0.0905861	−	0.0265985i
$469$	−19294.4	+	12399.8i	−1.89965	+	1.22083i
$470$	1192.08	−	8291.07i	0.116992	−	0.813699i
$471$	4122.61	−	9027.26i	0.403312	−	0.883130i
$472$	−2538.35	+	5558.21i	−0.247536	+	0.542028i
$473$	−229.905	+	1599.02i	−0.0223489	+	0.155440i
$474$	−2114.92	+	1359.18i	−0.204940	+	0.131707i
$475$	30698.9	+	9014.02i	2.96540	+	0.870719i
$476$	−1247.42	−	8675.97i	−0.120116	−	0.835425i
$477$	759.169	+	876.128i	0.0728721	+	0.0840989i
$478$	11388.5	+	7318.97i	1.08975	+	0.700339i
$479$	11082.7	−	12790.1i	1.05716	−	1.22003i	0.0824437	−	0.996596i	$-0.473728\pi$
$479$	11082.7	−	12790.1i	1.05716	−	1.22003i	0.974719	−	0.223435i	$-0.0717270\pi$
$480$	−1817.86	+	533.771i	−0.172861	+	0.0507567i
$481$	373.257	+	817.318i	0.0353826	+	0.0774772i
$482$	738.882			0.0698240
$483$	7764.56	−	4586.24i	0.731470	−	0.432052i
$484$	3857.69			0.362293
$485$	−12833.0	−	28100.4i	−1.20148	−	2.63087i
$486$	466.314	−	136.922i	0.0435235	−	0.0127796i
$487$	9561.59	−	11034.7i	0.889686	−	1.02675i	−0.109777	−	0.993956i	$-0.535014\pi$
$487$	9561.59	−	11034.7i	0.889686	−	1.02675i	0.999462	−	0.0327956i	$-0.0104410\pi$
$488$	−1596.95	−	1026.30i	−0.148136	−	0.0952014i
$489$	2674.51	+	3086.55i	0.247332	+	0.285437i
$490$	−2244.93	−	15613.8i	−0.206971	−	1.43951i
$491$	−15271.9	−	4484.25i	−1.40369	−	0.412161i	−0.509742	−	0.860327i	$-0.670259\pi$
$491$	−15271.9	−	4484.25i	−1.40369	−	0.412161i	−0.893950	+	0.448166i	$0.852077\pi$
$492$	4204.38	−	2701.99i	0.385261	−	0.247592i
$493$	942.533	−	6555.46i	0.0861046	−	0.598870i
$494$	2668.54	−	5843.30i	0.243043	−	0.532191i
$495$	−3535.11	+	7740.81i	−0.320993	+	0.702876i
$496$	356.503	−	2479.53i	0.0322731	−	0.224464i
$497$	23184.6	−	14899.8i	2.09250	−	1.34477i
$498$	3538.71	+	1039.06i	0.318420	+	0.0934967i
$499$	141.888	+	986.855i	0.0127290	+	0.0885324i	0.995196	−	0.0979062i	$-0.0312145\pi$
$499$	141.888	+	986.855i	0.0127290	+	0.0885324i	−0.982467	+	0.186439i	$0.940305\pi$
$500$	7210.93	+	8321.85i	0.644965	+	0.744329i
$501$	−3743.36	−	2405.71i	−0.333815	−	0.214530i
$502$	2001.71	−	2310.10i	0.177970	−	0.205388i
$503$	4123.90	−	1210.89i	0.365558	−	0.107337i	−0.0937946	−	0.995592i	$-0.529900\pi$
$503$	4123.90	−	1210.89i	0.365558	−	0.107337i	0.459352	+	0.888254i	$0.348082\pi$
$504$	815.090	+	1784.80i	0.0720377	+	0.157741i
$505$	−15435.4			−1.36013
$506$	−1109.09	−	10511.1i	−0.0974405	−	0.923471i
$507$	−4476.08			−0.392090
$508$	3031.42	+	6637.88i	0.264759	+	0.579741i
$509$	16797.5	−	4932.20i	1.46275	−	0.429501i	0.549013	−	0.835814i	$-0.315004\pi$
$509$	16797.5	−	4932.20i	1.46275	−	0.429501i	0.913734	+	0.406313i	$0.133186\pi$
$510$	6235.29	−	7195.91i	0.541379	−	0.624785i
$511$	5997.58	+	3854.41i	0.519212	+	0.333677i
$512$	335.289	+	386.944i	0.0289410	+	0.0333997i
$513$	464.826	+	3232.93i	0.0400050	+	0.278241i
$514$	−1818.51	−	533.963i	−0.156053	−	0.0458212i
$515$	−9693.83	+	6229.85i	−0.829439	+	0.533048i
$516$	−57.5834	+	400.502i	−0.00491273	+	0.0341688i
$517$	−4223.68	+	9248.56i	−0.359298	+	0.786753i
$518$	766.201	−	1677.75i	0.0649902	−	0.142309i
$519$	−550.681	+	3830.07i	−0.0465746	+	0.323933i
$520$	3526.55	−	2266.37i	0.297403	−	0.191129i
$521$	6691.71	+	1964.86i	0.562705	+	0.165225i	0.550700	−	0.834703i	$-0.314361\pi$
$521$	6691.71	+	1964.86i	0.562705	+	0.165225i	0.0120042	+	0.999928i	$0.496179\pi$
$522$	210.989	+	1467.46i	0.0176910	+	0.123044i
$523$	3839.93	+	4431.52i	0.321049	+	0.370510i	0.893217	−	0.449626i	$-0.148443\pi$
$523$	3839.93	+	4431.52i	0.321049	+	0.370510i	−0.572168	+	0.820137i	$0.693897\pi$
$524$	44.4200	+	28.5470i	0.00370324	+	0.00237993i
$525$	14160.1	−	16341.6i	1.17714	−	1.35849i
$526$	−6361.25	+	1867.83i	−0.527307	+	0.154831i
$527$	5229.80	+	11451.7i	0.432284	+	0.946569i
$528$	2299.71			0.189549
$529$	−11899.1	+	2539.34i	−0.977978	+	0.208707i
$530$	−5084.22			−0.416687
$531$	2855.64	+	6252.99i	0.233379	+	0.511029i
$532$	−12652.3	+	3715.05i	−1.03110	+	0.302759i
$533$	−7241.51	+	8357.15i	−0.588489	+	0.679153i
$534$	6113.53	+	3928.93i	0.495428	+	0.318392i
$535$	5419.49	+	6254.42i	0.437953	+	0.505425i
$536$	958.196	+	6664.40i	0.0772160	+	0.537049i
$537$	8692.30	+	2552.29i	0.698511	+	0.205101i
$538$	12140.0	−	7801.87i	0.972845	−	0.625209i
$539$	−2724.94	+	18952.4i	−0.217758	+	1.51454i
$540$	−885.427	+	1938.81i	−0.0705606	+	0.154506i
$541$	3550.30	−	7774.07i	0.282143	−	0.617807i	−0.714504	−	0.699631i	$-0.753348\pi$
$541$	3550.30	−	7774.07i	0.282143	−	0.617807i	0.996647	+	0.0818249i	$0.0260748\pi$
$542$	−2518.17	+	17514.3i	−0.199566	+	1.38801i
$543$	−486.531	+	312.674i	−0.0384512	+	0.0247111i
$544$	−2468.89	−	724.931i	−0.194582	−	0.0571345i
$545$	−1446.68	−	10061.9i	−0.113705	−	0.790834i
$546$	−2843.00	−	3281.00i	−0.222838	−	0.257168i
$547$	5114.84	+	3287.11i	0.399807	+	0.256941i	0.725059	−	0.688687i	$-0.241813\pi$
$547$	5114.84	+	3287.11i	0.399807	+	0.256941i	−0.325251	+	0.945628i	$0.605449\pi$
$548$	−1048.83	+	1210.42i	−0.0817591	+	0.0943550i
$549$	−2049.08	+	601.663i	−0.159294	+	0.0467730i
$550$	−10528.1	−	23053.3i	−0.816215	−	1.78726i
$551$	−9963.51			−0.770345
$552$	−277.789	−	2632.68i	−0.0214194	−	0.202997i
$553$	−11418.4			−0.878049
$554$	1442.50	+	3158.63i	0.110624	+	0.242233i
$555$	1922.42	−	564.475i	0.147031	−	0.0431723i
$556$	−4618.33	+	5329.84i	−0.352268	+	0.406538i
$557$	−4274.84	−	2747.27i	−0.325190	−	0.208987i	0.367852	−	0.929884i	$-0.380093\pi$
$557$	−4274.84	−	2747.27i	−0.325190	−	0.208987i	−0.693042	+	0.720898i	$0.743730\pi$
$558$	−1845.50	−	2129.82i	−0.140011	−	0.161582i
$559$	−127.410	−	886.154i	−0.00964017	−	0.0670489i
$560$	−8256.57	−	2424.35i	−0.623042	−	0.182942i
$561$	−9722.76	+	6248.44i	−0.731720	+	0.470248i
$562$	105.125	−	731.162i	0.00789046	−	0.0548794i
$563$	6352.92	−	13910.9i	0.475566	−	1.04134i	−0.508093	−	0.861302i	$-0.669649\pi$
$563$	6352.92	−	13910.9i	0.475566	−	1.04134i	0.983659	−	0.180042i	$-0.0576233\pi$
$564$	−1057.89	+	2316.46i	−0.0789809	+	0.172944i
$565$	−2691.97	+	18723.0i	−0.200446	+	1.39413i
$566$	981.677	−	630.886i	0.0729028	−	0.0468518i
$567$	2117.96	+	621.889i	0.156871	+	0.0460615i
$568$	−1151.39	−	8008.09i	−0.0850549	−	0.591570i
$569$	10784.6	+	12446.1i	0.794577	+	0.916990i	0.998071	−	0.0620858i	$-0.0197753\pi$
$569$	10784.6	+	12446.1i	0.794577	+	0.916990i	−0.203494	+	0.979076i	$0.565230\pi$
$570$	−12050.4	−	7744.31i	−0.885500	−	0.569077i
$571$	14370.5	−	16584.4i	1.05321	−	1.21547i	0.0773716	−	0.997002i	$-0.475347\pi$
$571$	14370.5	−	16584.4i	1.05321	−	1.21547i	0.975843	−	0.218472i	$-0.0701073\pi$
$572$	−4882.24	+	1433.56i	−0.356882	+	0.104790i
$573$	197.554	+	432.584i	0.0144031	+	0.0315383i
$574$	22699.4			1.65062
$575$	−25119.4	+	14837.1i	−1.82183	+	1.07609i
$576$	576.000			0.0416667
$577$	−2653.76	−	5810.93i	−0.191469	−	0.419258i	0.789413	−	0.613862i	$-0.210385\pi$
$577$	−2653.76	−	5810.93i	−0.191469	−	0.419258i	−0.980882	+	0.194604i	$0.937658\pi$
$578$	2979.73	−	874.928i	0.214430	−	0.0629623i
$579$	4573.11	−	5277.65i	0.328241	−	0.378811i
$580$	−5469.78	−	3515.22i	−0.391587	−	0.251658i
$581$	10969.6	+	12659.6i	0.783299	+	0.903975i
$582$	1336.60	+	9296.24i	0.0951955	+	0.662099i
$583$	5921.35	+	1738.66i	0.420647	+	0.123513i
$584$	1760.66	−	1131.51i	0.124754	−	0.0801747i
$585$	671.159	−	4668.01i	0.0474342	−	0.329912i
$586$	3548.05	−	7769.14i	0.250117	−	0.547680i
$587$	5594.04	−	12249.2i	0.393340	−	0.861295i	−0.604562	−	0.796558i	$-0.706652\pi$
$587$	5594.04	−	12249.2i	0.393340	−	0.861295i	0.997902	−	0.0647369i	$-0.0206208\pi$
$588$	−682.507	+	4746.94i	−0.0478676	+	0.332926i
$589$	15932.9	−	10239.5i	1.11461	−	0.716316i
$590$	−28926.6	−	8493.62i	−2.01846	−	0.592673i
$591$	−1845.51	−	12835.8i	−0.128450	−	0.893391i
$592$	−354.575	−	409.202i	−0.0246165	−	0.0284089i
$593$	−8500.09	−	5462.68i	−0.588629	−	0.378289i	0.212160	−	0.977235i	$-0.431950\pi$
$593$	−8500.09	−	5462.68i	−0.588629	−	0.378289i	−0.800789	+	0.598946i	$0.795586\pi$
$594$	1694.24	−	1955.25i	0.117029	−	0.135059i
$595$	41494.4	−	12183.9i	2.85900	−	0.839478i
$596$	−4702.12	−	10296.2i	−0.323165	−	0.707632i
$597$	−8634.25			−0.591920
$598$	2230.86	+	5415.98i	0.152553	+	0.370361i
$599$	−24265.0			−1.65516			−0.827579	−	0.561349i	$-0.810282\pi$
$599$	−24265.0			−1.65516			−0.827579	+	0.561349i	$0.810282\pi$
$600$	−2636.93	−	5774.07i	−0.179420	−	0.392876i
$601$	5094.39	−	1495.85i	0.345765	−	0.101526i	−0.104239	−	0.994552i	$-0.533241\pi$
$601$	5094.39	−	1495.85i	0.345765	−	0.101526i	0.450004	+	0.893027i	$0.351423\pi$
$602$	−1203.47	+	1388.88i	−0.0814782	+	0.0940309i
$603$	6372.11	+	4095.11i	0.430336	+	0.276560i
$604$	−3510.11	−	4050.88i	−0.236464	−	0.272894i
$605$	2708.72	+	18839.6i	0.182025	+	1.26601i
$606$	4502.60	+	1322.08i	0.301824	+	0.0886237i
$607$	−10944.1	+	7033.35i	−0.731808	+	0.470304i	−0.852726	−	0.522358i	$-0.825052\pi$
$607$	−10944.1	+	7033.35i	−0.731808	+	0.470304i	0.120918	+	0.992662i	$0.461416\pi$
$608$	−550.904	+	3831.62i	−0.0367469	+	0.255580i
$609$	−2797.25	+	6125.12i	−0.186125	+	0.407557i
$610$	3890.75	−	8519.55i	0.258249	−	0.565486i
$611$	801.887	−	5577.25i	0.0530947	−	0.369282i
$612$	−2435.23	+	1565.02i	−0.160847	+	0.103370i
$613$	20553.4	+	6035.03i	1.35423	+	0.397639i	0.876726	−	0.480990i	$-0.159723\pi$
$613$	20553.4	+	6035.03i	1.35423	+	0.397639i	0.477507	+	0.878628i	$0.341541\pi$
$614$	1731.89	+	12045.5i	0.113833	+	0.791723i
$615$	16147.7	+	18635.5i	1.05876	+	1.22188i
$616$	8786.97	+	5647.05i	0.574736	+	0.369360i
$617$	−7783.00	+	8982.06i	−0.507831	+	0.586069i	−0.950542	−	0.310596i	$-0.899471\pi$
$617$	−7783.00	+	8982.06i	−0.507831	+	0.586069i	0.442711	+	0.896664i	$0.354017\pi$
$618$	3361.36	−	986.984i	0.218792	−	0.0642432i
$619$	−7306.79	−	15999.6i	−0.474450	−	1.03890i	−0.983952	−	0.178432i	$-0.942898\pi$
$619$	−7306.79	−	15999.6i	−0.474450	−	1.03890i	0.509502	−	0.860469i	$-0.329830\pi$
$620$	12359.5			0.800593
$621$	−2443.01	−	1703.37i	−0.157866	−	0.110070i
$622$	−14790.6			−0.953452
$623$	13711.6	+	30024.2i	0.881770	+	1.93081i
$624$	−1222.84	+	359.058i	−0.0784499	+	0.0230350i
$625$	−13927.4	+	16073.1i	−0.891352	+	1.02868i
$626$	10769.6	+	6921.23i	0.687606	+	0.441898i
$627$	11386.2	+	13140.3i	0.725231	+	0.836961i
$628$	−1883.12	−	13097.4i	−0.119657	−	0.832236i
$629$	2610.91	+	766.631i	0.165507	+	0.0485971i
$630$	−8143.99	+	5233.82i	−0.515023	+	0.330985i
$631$	116.302	−	808.898i	0.00733741	−	0.0510328i	−0.985824	−	0.167784i	$-0.946339\pi$
$631$	116.302	−	808.898i	0.00733741	−	0.0510328i	0.993161	+	0.116751i	$0.0372480\pi$
$632$	−1392.48	+	3049.10i	−0.0876419	+	0.191909i
$633$	−508.091	+	1112.56i	−0.0319033	+	0.0698585i
$634$	72.6240	−	505.111i	0.00454932	−	0.0316412i
$635$	−30288.5	+	19465.2i	−1.89285	+	1.21646i
$636$	1483.10	+	435.477i	0.0924665	+	0.0271506i
$637$	−1510.12	−	10503.1i	−0.0939297	−	0.653296i
$638$	5168.29	+	5964.52i	0.320712	+	0.370122i
$639$	−7656.87	−	4920.77i	−0.474024	−	0.304636i
$640$	−1654.27	+	1909.13i	−0.102173	+	0.117914i
$641$	−21256.3	+	6241.40i	−1.30978	+	0.384587i	−0.860796	−	0.508950i	$-0.830034\pi$
$641$	−21256.3	+	6241.40i	−1.30978	+	0.384587i	−0.448988	+	0.893538i	$0.648216\pi$
$642$	−1045.19	−	2288.65i	−0.0642530	−	0.140694i
$643$	6887.26			0.422406			0.211203	−	0.977442i	$-0.432262\pi$
$643$	6887.26			0.422406			0.211203	+	0.977442i	$0.432262\pi$
$644$	5403.28	−	10741.4i	0.330620	−	0.657251i
$645$	−1996.34			−0.121869
$646$	−8081.62	−	17696.3i	−0.492209	−	1.07779i
$647$	−7531.66	+	2211.50i	−0.457651	+	0.134378i	−0.502429	−	0.864619i	$-0.667560\pi$
$647$	−7531.66	+	2211.50i	−0.457651	+	0.134378i	0.0447780	+	0.998997i	$0.485742\pi$
$648$	424.350	−	489.726i	0.0257254	−	0.0296886i
$649$	30784.9	+	19784.2i	1.86196	+	1.19661i
$650$	9197.51	+	10614.5i	0.555009	+	0.640515i
$651$	−1821.61	−	12669.6i	−0.109669	−	0.762764i
$652$	5224.88	+	1534.16i	0.313837	+	0.0921509i
$653$	1020.93	−	656.115i	0.0611826	−	0.0393197i	−0.509692	−	0.860357i	$-0.670241\pi$
$653$	1020.93	−	656.115i	0.0611826	−	0.0393197i	0.570875	+	0.821037i	$0.306604\pi$
$654$	−439.823	+	3059.03i	−0.0262973	+	0.182902i
$655$	−108.223	+	236.976i	−0.00645593	+	0.0141365i
$656$	2768.19	−	6061.50i	0.164756	−	0.360765i
$657$	335.082	−	2330.54i	0.0198977	−	0.138391i
$658$	−9730.27	+	6253.27i	−0.576483	+	0.370483i
$659$	−7572.96	−	2223.62i	−0.447649	−	0.131442i	0.0501355	−	0.998742i	$-0.484035\pi$
$659$	−7572.96	−	2223.62i	−0.447649	−	0.131442i	−0.497784	+	0.867301i	$0.665853\pi$
$660$	1614.77	+	11230.9i	0.0952344	+	0.662370i
$661$	−15437.0	−	17815.2i	−0.908363	−	1.04831i	−0.998627	−	0.0523888i	$-0.983316\pi$
$661$	−15437.0	−	17815.2i	−0.908363	−	1.04831i	0.0902638	−	0.995918i	$-0.471229\pi$
$662$	6052.01	+	3889.39i	0.355315	+	0.228347i
$663$	4194.36	−	4840.55i	0.245695	−	0.283547i
$664$	4718.28	−	1385.41i	0.275760	−	0.0809705i
$665$	−27026.9	−	59180.6i	−1.57603	−	3.45102i
$666$	−609.133			−0.0354406
$667$	6203.84	−	6637.08i	0.360140	−	0.385291i
$668$	−5932.99			−0.343644
$669$	3959.06	+	8669.13i	0.228798	+	0.500998i
$670$	−31873.7	+	9358.97i	−1.83789	+	0.539654i
$671$	−7444.82	+	8591.78i	−0.428322	+	0.494310i
$672$	2200.84	+	1414.40i	0.126338	+	0.0811927i
$673$	−13022.8	−	15029.1i	−0.745902	−	0.860817i	0.248263	−	0.968693i	$-0.420140\pi$
$673$	−13022.8	−	15029.1i	−0.745902	−	0.860817i	−0.994164	+	0.107876i	$0.965595\pi$
$674$	44.6658	+	310.658i	0.00255262	+	0.0177538i
$675$	−6851.90	−	2011.90i	−0.390710	−	0.114723i
$676$	−5020.69	+	3226.60i	−0.285656	+	0.183580i
$677$	−1193.65	+	8301.99i	−0.0677630	+	0.471302i	0.927480	+	0.373874i	$0.121971\pi$
$677$	−1193.65	+	8301.99i	−0.0677630	+	0.471302i	−0.995243	+	0.0974280i	$0.968938\pi$
$678$	2388.94	−	5231.06i	0.135320	−	0.296309i
$679$	−17720.4	+	38802.2i	−1.00154	+	2.19306i
$680$	1806.74	−	12566.2i	0.101890	−	0.708664i
$681$	13231.5	−	8503.39i	0.744542	−	0.478488i
$682$	−14394.5	−	4226.60i	−0.808201	−	0.237309i
$683$	−4275.64	−	29737.7i	−0.239536	−	1.66601i	−0.654419	−	0.756132i	$-0.727087\pi$
$683$	−4275.64	−	29737.7i	−0.239536	−	1.66601i	0.414884	−	0.909874i	$-0.363822\pi$
$684$	2851.86	+	3291.22i	0.159420	+	0.183981i
$685$	−6647.70	−	4272.22i	−0.370797	−	0.238296i
$686$	−2021.82	+	2333.31i	−0.112527	+	0.129863i
$687$	−10399.6	+	3053.60i	−0.577539	+	0.169581i
$688$	224.114	+	490.741i	0.0124190	+	0.0271938i
$689$	−3420.06			−0.189106
$690$	12662.0	−	3205.19i	0.698602	−	0.176840i
$691$	−17211.5			−0.947547			−0.473773	−	0.880647i	$-0.657108\pi$
$691$	−17211.5			−0.947547			−0.473773	+	0.880647i	$0.657108\pi$
$692$	2143.24	+	4693.04i	0.117737	+	0.257807i
$693$	11274.7	−	3310.56i	0.618026	−	0.181469i
$694$	−10218.3	+	11792.6i	−0.558908	+	0.645014i
$695$	−29271.8	−	18811.9i	−1.59762	−	1.02673i
$696$	1294.48	+	1493.91i	0.0704990	+	0.0813601i
$697$	4766.00	+	33148.3i	0.259003	+	1.80141i
$698$	−13974.1	−	4103.17i	−0.757777	−	0.222503i
$699$	−7165.92	+	4605.26i	−0.387754	+	0.249194i
$700$	4103.05	−	28537.3i	0.221544	−	1.54087i
$701$	2223.99	−	4869.86i	0.119827	−	0.262385i	−0.840208	−	0.542264i	$-0.817567\pi$
$701$	2223.99	−	4869.86i	0.119827	−	0.262385i	0.960035	+	0.279879i	$0.0902944\pi$
$702$	−595.610	+	1304.20i	−0.0320226	+	0.0701197i
$703$	582.594	−	4052.03i	0.0312560	−	0.217390i
$704$	2579.52	−	1657.75i	0.138095	−	0.0887485i
$705$	−12055.5	−	3539.83i	−0.644026	−	0.189103i
$706$	252.853	+	1758.63i	0.0134791	+	0.0937492i
$707$	13957.6	+	16107.9i	0.742474	+	0.856861i
$708$	7710.59	+	4955.29i	0.409296	+	0.263039i
$709$	−16538.8	+	19086.8i	−0.876062	+	1.01103i	0.123762	+	0.992312i	$0.460504\pi$
$709$	−16538.8	+	19086.8i	−0.876062	+	1.01103i	−0.999825	+	0.0187181i	$0.994041\pi$
$710$	38300.1	−	11245.9i	2.02448	−	0.594440i
$711$	1566.54	+	3430.23i	0.0826296	+	0.180934i
$712$	9689.56			0.510016
$713$	−3099.82	+	16989.2i	−0.162818	+	0.892357i
$714$	−13147.8			−0.689136
$715$	−10429.1	−	22836.5i	−0.545491	−	1.19446i
$716$	11589.7	−	3403.05i	0.604929	−	0.177623i
$717$	13297.8	−	15346.5i	0.692632	−	0.799340i
$718$	17446.9	+	11212.4i	0.906842	+	0.582792i
$719$	−1137.34	−	1312.56i	−0.0589923	−	0.0680808i	0.725486	−	0.688236i	$-0.241615\pi$
$719$	−1137.34	−	1312.56i	−0.0589923	−	0.0680808i	−0.784479	+	0.620156i	$0.787069\pi$
$720$	404.445	+	2812.98i	0.0209344	+	0.145602i
$721$	15267.0	+	4482.81i	0.788591	+	0.231551i
$722$	−13080.9	+	8406.57i	−0.674266	+	0.433324i
$723$	157.731	−	1097.04i	0.00811352	−	0.0564308i
$724$	−320.335	+	701.435i	−0.0164436	+	0.0360064i
$725$	9049.48	−	19815.6i	0.463571	−	1.01508i
$726$	823.511	−	5727.64i	0.0420983	−	0.292800i
$727$	5602.25	−	3600.35i	0.285799	−	0.183672i	−0.389884	−	0.920864i	$-0.627485\pi$
$727$	5602.25	−	3600.35i	0.285799	−	0.183672i	0.675684	+	0.737192i	$0.263849\pi$
$728$	−5554.04	−	1630.81i	−0.282756	−	0.0830246i
$729$	−103.748	−	721.580i	−0.00527092	−	0.0366601i
$730$	6762.13	+	7803.91i	0.342846	+	0.395665i
$731$	−2280.88	−	1465.83i	−0.115406	−	0.0741667i
$732$	−1864.68	+	2151.96i	−0.0941538	+	0.108659i
$733$	−29706.3	+	8722.56i	−1.49690	+	0.439530i	−0.924736	−	0.380609i	$-0.875714\pi$
$733$	−29706.3	+	8722.56i	−1.49690	+	0.439530i	−0.572165	+	0.820139i	$0.693896\pi$
$734$	−7508.37	−	16441.0i	−0.377574	−	0.826771i
$735$	−23661.6			−1.18744
$736$	−2209.37	−	2752.76i	−0.110650	−	0.137864i
$737$	40322.3			2.01532
$738$	−3114.22	−	6819.18i	−0.155333	−	0.340132i
$739$	5209.65	−	1529.69i	0.259324	−	0.0761443i	−0.149486	−	0.988764i	$-0.547762\pi$
$739$	5209.65	−	1529.69i	0.259324	−	0.0761443i	0.408810	+	0.912619i	$0.365944\pi$
$740$	1749.42	−	2018.94i	0.0869056	−	0.100294i
$741$	−8106.07	−	5209.45i	−0.401868	−	0.258265i
$742$	4597.45	+	5305.74i	0.227463	+	0.262507i
$743$	−1029.93	−	7163.31i	−0.0508538	−	0.353696i	−0.999322	−	0.0368231i	$-0.988276\pi$
$743$	−1029.93	−	7163.31i	−0.0508538	−	0.353696i	0.948468	−	0.316873i	$-0.102633\pi$
$744$	−3605.34	−	1058.62i	−0.177659	−	0.0521653i
$745$	46981.3	−	30193.0i	2.31042	−	1.48481i
$746$	−694.528	+	4830.54i	−0.0340864	+	0.237076i
$747$	2298.14	−	5032.23i	0.112563	−	0.246479i
$748$	−6401.53	+	14017.4i	−0.312918	+	0.685196i
$749$	1626.31	−	11311.2i	0.0793380	−	0.551808i
$750$	13895.1	−	8929.81i	0.676501	−	0.434761i
$751$	15773.7	+	4631.59i	0.766434	+	0.225045i	0.641503	−	0.767120i	$-0.278311\pi$
$751$	15773.7	+	4631.59i	0.766434	+	0.225045i	0.124931	+	0.992165i	$0.460129\pi$
$752$	483.223	+	3360.89i	0.0234326	+	0.162977i
$753$	−3002.57	−	3465.15i	−0.145312	−	0.167698i
$754$	−3679.42	−	2364.62i	−0.177714	−	0.114210i
$755$	17318.4	−	19986.5i	0.834808	−	0.963420i
$756$	2823.95	−	829.186i	0.135854	−	0.0398905i
$757$	1825.45	+	3997.18i	0.0876448	+	0.191915i	0.948379	−	0.317139i	$-0.102722\pi$
$757$	1825.45	+	3997.18i	0.0876448	+	0.191915i	−0.860734	+	0.509055i	$0.829995\pi$
$758$	−14947.0			−0.716226
$759$	−15843.0	−	597.135i	−0.757658	−	0.0285568i
$760$	−19099.1			−0.911575
$761$	9670.08	+	21174.5i	0.460631	+	1.00864i	0.987343	+	0.158597i	$0.0506972\pi$
$761$	9670.08	+	21174.5i	0.460631	+	1.00864i	−0.526712	+	0.850043i	$0.676576\pi$
$762$	10502.6	−	3083.84i	0.499303	−	0.146609i
$763$	−9192.13	+	10608.3i	−0.436144	+	0.503337i
$764$	533.421	+	342.809i	0.0252598	+	0.0162335i
$765$	−9352.94	−	10793.9i	−0.442034	−	0.510135i
$766$	252.421	+	1755.62i	0.0119064	+	0.0828111i
$767$	−19458.4	−	5713.50i	−0.916039	−	0.268973i
$768$	646.083	−	415.212i	0.0303561	−	0.0195087i
$769$	−1555.66	+	10819.8i	−0.0729497	+	0.507377i	0.920285	+	0.391250i	$0.127957\pi$
$769$	−1555.66	+	10819.8i	−0.0729497	+	0.507377i	−0.993234	+	0.116127i	$0.962952\pi$
$770$	−21408.3	+	46877.6i	−1.00195	+	2.19396i
$771$	−1180.99	+	2586.01i	−0.0551653	+	0.120795i
$772$	1325.11	−	9216.33i	0.0617768	−	0.429667i
$773$	−20810.2	+	13373.9i	−0.968296	+	0.622286i	−0.926282	−	0.376831i	$-0.877014\pi$
$773$	−20810.2	+	13373.9i	−0.968296	+	0.622286i	−0.0420136	+	0.999117i	$0.513377\pi$
$774$	582.345	+	170.992i	0.0270439	+	0.00794080i
$775$	5893.16	+	40987.8i	0.273146	+	1.89977i
$776$	8200.46	+	9463.84i	0.379355	+	0.437799i
$777$	−2327.44	−	1495.76i	−0.107460	−	0.0690604i
$778$	9009.88	−	10398.0i	0.415193	−	0.479158i
$779$	48340.6	−	14194.1i	2.22334	−	0.652832i
$780$	−2612.14	−	5719.79i	−0.119910	−	0.262566i
$781$	−48452.2			−2.21992
$782$	16820.2	+	5635.20i	0.769169	+	0.257691i
$783$	2223.82			0.101498
$784$	2656.31	+	5816.50i	0.121005	+	0.264964i
$785$	62640.8	−	18393.0i	2.84808	−	0.836273i
$786$	51.8671	−	59.8578i	0.00235374	−	0.00271636i
$787$	17320.1	+	11130.9i	0.784490	+	0.504161i	0.870521	−	0.492131i	$-0.163782\pi$
$787$	17320.1	+	11130.9i	0.784490	+	0.504161i	−0.0860308	+	0.996292i	$0.527418\pi$
$788$	−11322.8	−	13067.2i	−0.511876	−	0.590736i
$789$	1415.28	+	9843.48i	0.0638596	+	0.444153i
$790$	−15868.4	−	4659.39i	−0.714650	−	0.209840i
$791$	21973.1	−	14121.2i	0.987702	−	0.634757i
$792$	490.924	−	3414.45i	0.0220255	−	0.153191i
$793$	2617.23	−	5730.94i	0.117201	−	0.256635i
$794$	−775.660	+	1698.46i	−0.0346689	+	0.0759144i
$795$	−1085.34	+	7548.70i	−0.0484189	+	0.336761i
$796$	−9684.80	+	6224.04i	−0.431242	+	0.277142i
$797$	35673.9	+	10474.8i	1.58549	+	0.465542i	0.951462	−	0.307767i	$-0.0995819\pi$
$797$	35673.9	+	10474.8i	1.58549	+	0.465542i	0.634029	+	0.773309i	$0.281400\pi$
$798$	2814.94	+	19578.3i	0.124872	+	0.868502i
$799$	−11174.7	−	12896.3i	−0.494784	−	0.571011i
$800$	−7120.03	−	4575.77i	−0.314664	−	0.202222i
$801$	7138.48	−	8238.24i	0.314889	−	0.363401i
$802$	−29006.7	+	8517.14i	−1.27714	+	0.375001i
$803$	−5206.81	−	11401.3i	−0.228822	−	0.501051i
$804$	10099.4			0.443008
$805$	56251.0	+	18845.5i	2.46284	+	0.825113i
$806$	8313.97			0.363334
$807$	−8992.15	−	19690.1i	−0.392241	−	0.858889i
$808$	6003.47	−	1762.78i	0.261388	−	0.0767503i
$809$	−12796.8	+	14768.3i	−0.556131	+	0.641810i	−0.962301	−	0.271988i	$-0.912319\pi$
$809$	−12796.8	+	14768.3i	−0.556131	+	0.641810i	0.406169	+	0.913798i	$0.366864\pi$
$810$	2689.61	+	1728.50i	0.116671	+	0.0749796i
$811$	−17384.8	−	20063.1i	−0.752728	−	0.868694i	0.242102	−	0.970251i	$-0.422163\pi$
$811$	−17384.8	−	20063.1i	−0.752728	−	0.868694i	−0.994830	+	0.101557i	$0.967618\pi$
$812$	1277.73	+	8886.78i	0.0552209	+	0.384070i
$813$	25466.5	+	7477.63i	1.09858	+	0.322573i
$814$	−2727.90	+	1753.11i	−0.117460	+	0.0754872i
$815$	−3823.59	+	26593.6i	−0.164337	+	1.14299i
$816$	−1603.37	+	3510.89i	−0.0687857	+	0.150620i
$817$	−1694.43	+	3710.29i	−0.0725590	+	0.158882i
$818$	2742.88	−	19077.1i	0.117240	−	0.815424i
$819$	−5478.31	+	3520.69i	−0.233733	+	0.150211i
$820$	31545.9	+	9262.71i	1.34345	+	0.394473i
$821$	−446.593	−	3106.12i	−0.0189844	−	0.132040i	0.978125	−	0.208018i	$-0.0667012\pi$
$821$	−446.593	−	3106.12i	−0.0189844	−	0.132040i	−0.997109	+	0.0759782i	$0.975792\pi$
$822$	1573.25	+	1815.63i	0.0667560	+	0.0770405i
$823$	−10238.6	−	6579.96i	−0.433652	−	0.278691i	0.305549	−	0.952176i	$-0.401160\pi$
$823$	−10238.6	−	6579.96i	−0.433652	−	0.278691i	−0.739201	+	0.673485i	$0.764797\pi$
$824$	3058.87	−	3530.12i	0.129321	−	0.149245i
$825$	−36475.4	+	10710.1i	−1.53928	+	0.451975i
$826$	17293.5	+	37867.4i	0.728471	+	1.59513i
$827$	−17588.1			−0.739536			−0.369768	−	0.929124i	$-0.620563\pi$
$827$	−17588.1			−0.739536			−0.369768	+	0.929124i	$0.620563\pi$
$828$	−3968.13	−	149.562i	−0.166548	−	0.00627736i
$829$	−1600.96			−0.0670731			−0.0335366	−	0.999437i	$-0.510677\pi$
$829$	−1600.96			−0.0670731			−0.0335366	+	0.999437i	$0.510677\pi$
$830$	10078.8	+	22069.6i	0.421496	+	0.922948i
$831$	4997.65	−	1467.44i	0.208624	−	0.0612576i
$832$	−1112.79	+	1284.23i	−0.0463692	+	0.0535129i
$833$	−27034.2	−	17373.8i	−1.12446	−	0.722649i
$834$	6927.49	+	7994.75i	0.287625	+	0.331937i
$835$	−4165.92	−	28974.6i	−0.172656	−	1.20085i
$836$	22243.8	+	6531.37i	0.920238	+	0.270206i
$837$	−3556.18	+	2285.42i	−0.146857	+	0.0943794i
$838$	1103.30	−	7673.61i	0.0454807	−	0.316325i
$839$	−4128.28	+	9039.68i	−0.169874	+	0.371972i	−0.975352	−	0.220653i	$-0.929181\pi$
$839$	−4128.28	+	9039.68i	−0.169874	+	0.371972i	0.805479	+	0.592625i	$0.201908\pi$
$840$	−5362.05	+	11741.3i	−0.220248	+	0.482276i
$841$	2505.48	−	17426.0i	0.102730	−	0.714503i
$842$	1091.92	−	701.733i	0.0446912	−	0.0287213i
$843$	−1063.14	−	312.166i	−0.0434359	−	0.0127539i
$844$	232.086	+	1614.19i	0.00946530	+	0.0658326i
$845$	−19282.9	−	22253.7i	−0.785032	−	0.905976i
$846$	3213.49	+	2065.18i	0.130593	+	0.0839272i
$847$	17211.1	−	19862.6i	0.698205	−	0.805771i
$848$	1977.47	−	580.636i	0.0800784	−	0.0235131i
$849$	−727.135	−	1592.20i	−0.0293937	−	0.0643631i
$850$	42534.9			1.71639
$851$	2336.46	+	2911.11i	0.0941161	+	0.117264i
$852$	−12135.7			−0.487982
$853$	−5438.57	−	11908.8i	−0.218304	−	0.478019i	0.768518	−	0.639828i	$-0.220994\pi$
$853$	−5438.57	−	11908.8i	−0.218304	−	0.478019i	−0.986822	+	0.161809i	$0.948267\pi$
$854$	−12409.0	+	3643.61i	−0.497222	+	0.145997i
$855$	−14070.7	+	16238.4i	−0.562814	+	0.649522i
$856$	−2822.15	−	1813.68i	−0.112686	−	0.0724187i
$857$	−6997.48	−	8075.52i	−0.278914	−	0.321884i	0.598957	−	0.800781i	$-0.295582\pi$
$857$	−6997.48	−	8075.52i	−0.278914	−	0.321884i	−0.877871	+	0.478897i	$0.841037\pi$
$858$	1086.22	+	7554.84i	0.0432203	+	0.300604i
$859$	−11306.1	−	3319.76i	−0.449078	−	0.131861i	0.0493704	−	0.998781i	$-0.484279\pi$
$859$	−11306.1	−	3319.76i	−0.449078	−	0.131861i	−0.498449	+	0.866919i	$0.666097\pi$
$860$	−2239.24	+	1439.07i	−0.0887876	+	0.0570603i
$861$	4845.70	−	33702.6i	0.191801	−	1.33401i
$862$	10657.7	−	23337.1i	0.421117	−	0.922118i
$863$	1564.68	−	3426.17i	0.0617176	−	0.135143i	−0.876260	−	0.481839i	$-0.839969\pi$
$863$	1564.68	−	3426.17i	0.0617176	−	0.135143i	0.937978	+	0.346696i	$0.112696\pi$
$864$	122.960	−	855.206i	0.00484165	−	0.0336744i
$865$	−21414.2	+	13762.1i	−0.841740	+	0.540953i
$866$	21998.8	+	6459.43i	0.863221	+	0.253464i
$867$	−662.944	−	4610.88i	−0.0259686	−	0.180615i
$868$	−11176.2	−	12898.0i	−0.437032	−	0.504362i
$869$	16887.8	+	10853.1i	0.659241	+	0.423668i
$870$	−6386.80	+	7370.76i	−0.248888	+	0.287232i
$871$	−21440.8	+	6295.60i	−0.834093	+	0.244912i
$872$	1711.78	+	3748.28i	0.0664774	+	0.145565i
$873$	14087.8			0.546161
$874$	4790.15	−	26253.5i	0.185388	−	1.01606i
$875$	75019.3			2.89842
$876$	−1304.13	−	2855.65i	−0.0502997	−	0.110141i
$877$	−37690.8	+	11067.0i	−1.45123	+	0.426120i	−0.909948	−	0.414722i	$-0.863879\pi$
$877$	−37690.8	+	11067.0i	−1.45123	+	0.426120i	−0.541282	+	0.840841i	$0.682061\pi$
$878$	3353.62	−	3870.28i	0.128906	−	0.148765i
$879$	−10777.7	−	6926.40i	−0.413564	−	0.265781i
$880$	9907.11	+	11433.4i	0.379510	+	0.437978i
$881$	−872.475	−	6068.20i	−0.0333649	−	0.232058i	0.966315	−	0.257363i	$-0.0828534\pi$
$881$	−872.475	−	6068.20i	−0.0333649	−	0.232058i	−0.999680	+	0.0253048i	$0.991944\pi$
$882$	6902.24	+	2026.68i	0.263504	+	0.0773718i
$883$	10317.6	−	6630.73i	0.393223	−	0.252709i	−0.329057	−	0.944310i	$-0.606731\pi$
$883$	10317.6	−	6630.73i	0.393223	−	0.252709i	0.722279	+	0.691601i	$0.243094\pi$
$884$	1215.36	−	8453.04i	0.0462411	−	0.321614i
$885$	−18785.8	+	41135.1i	−0.713534	+	1.56242i
$886$	4409.18	−	9654.75i	0.167189	−	0.366092i
$887$	−970.493	+	6749.93i	−0.0367373	+	0.255513i	−0.999911	−	0.0133677i	$-0.995745\pi$
$887$	−970.493	+	6749.93i	−0.0367373	+	0.255513i	0.963173	+	0.268881i	$0.0866539\pi$
$888$	−683.247	+	439.096i	−0.0258201	+	0.0165936i
$889$	47702.0	+	14006.6i	1.79963	+	0.528420i
$890$	6803.64	+	47320.3i	0.256245	+	1.78223i
$891$	−2541.36	−	2932.88i	−0.0955540	−	0.110275i
$892$	10689.9	+	6870.01i	0.401262	+	0.257875i
$893$	−16811.3	+	19401.3i	−0.629977	+	0.727033i
$894$	−16290.9	+	4783.43i	−0.609450	+	0.178951i
$895$	24757.2	+	54210.6i	0.924626	+	2.02465i
$896$	3488.20			0.130059
$897$	8517.51	−	2156.07i	0.317047	−	0.0802555i
$898$	259.302			0.00963587
$899$	−5356.87	−	11729.9i	−0.198734	−	0.435166i
$900$	−9135.86	+	2682.53i	−0.338365	+	0.0993530i
$901$	−6782.75	+	7827.72i	−0.250795	+	0.289433i
$902$	−33572.4	−	21575.7i	−1.23929	−	0.796443i
$903$	1805.21	+	2083.32i	0.0665267	+	0.0767759i
$904$	−1091.22	−	7589.61i	−0.0401476	−	0.279233i
$905$	−3650.49	−	1071.88i	−0.134084	−	0.0393707i
$906$	−6763.78	+	4346.82i	−0.248026	+	0.159397i
$907$	2650.33	−	18433.5i	0.0970263	−	0.674833i	−0.882023	−	0.471207i	$-0.843818\pi$
$907$	2650.33	−	18433.5i	0.0970263	−	0.674833i	0.979049	−	0.203626i	$-0.0652725\pi$
$908$	8711.72	−	19076.0i	0.318402	−	0.697202i
$909$	2924.12	−	6402.93i	0.106696	−	0.233632i
$910$	4064.47	−	28269.0i	0.148061	−	1.02979i
$911$	26197.3	−	16836.0i	0.952748	−	0.612294i	0.0307663	−	0.999527i	$-0.490205\pi$
$911$	26197.3	−	16836.0i	0.952748	−	0.612294i	0.921982	+	0.387232i	$0.126569\pi$
$912$	5571.33	+	1635.89i	0.202287	+	0.0593967i
$913$	−4191.15	−	29150.1i	−0.151924	−	1.05666i
$914$	−17861.3	−	20613.0i	−0.646389	−	0.745972i
$915$	−11818.7	−	7595.40i	−0.427009	−	0.274422i
$916$	−9463.73	+	10921.7i	−0.341365	+	0.393957i
$917$	345.163	−	101.349i	0.0124300	−	0.00364977i
$918$	1803.79	+	3949.75i	0.0648518	+	0.142006i
$919$	13444.3			0.482575			0.241288	−	0.970454i	$-0.422430\pi$
$919$	13444.3			0.482575			0.241288	+	0.970454i	$0.422430\pi$
$920$	11892.2	−	12722.7i	0.426166	−	0.455928i
$921$	18254.1			0.653087
$922$	6180.67	+	13533.8i	0.220770	+	0.483418i
$923$	25763.8	−	7564.93i	0.918771	−	0.269775i
$924$	10260.1	−	11840.8i	0.365296	−	0.421574i
$925$	7529.60	+	4838.98i	0.267645	+	0.172005i
$926$	3913.61	+	4516.54i	0.138887	+	0.160284i
$927$	−747.850	−	5201.41i	−0.0264969	−	0.184290i
$928$	2528.88	+	742.546i	0.0894553	+	0.0262665i
$929$	−10803.4	+	6942.89i	−0.381536	+	0.245198i	−0.717324	−	0.696739i	$-0.754633\pi$
$929$	−10803.4	+	6942.89i	−0.381536	+	0.245198i	0.335789	+	0.941937i	$0.390997\pi$
$930$	2638.40	−	18350.5i	0.0930286	−	0.647028i
$931$	−20083.3	+	43976.2i	−0.706984	+	1.54808i
$932$	−4718.09	+	10331.2i	−0.165822	+	0.363100i
$933$	−3157.37	+	21960.0i	−0.110791	+	0.770566i
$934$	10961.2	−	7044.31i	0.384004	−	0.246785i
$935$	−72950.8	−	21420.3i	−2.55160	−	0.749217i
$936$	272.062	+	1892.24i	0.00950068	+	0.0660787i
$937$	−34263.0	−	39541.6i	−1.19458	−	1.37862i	−0.907143	−	0.420821i	$-0.861742\pi$
$937$	−34263.0	−	39541.6i	−1.19458	−	1.37862i	−0.287438	−	0.957799i	$-0.592804\pi$
$938$	38588.9	+	24799.6i	1.34325	+	0.863256i
$939$	12575.2	−	14512.5i	0.437035	−	0.504365i
$940$	−16074.1	+	4719.77i	−0.557743	+	0.163768i
$941$	−10115.7	−	22150.3i	−0.350438	−	0.767352i	−0.999975	−	0.00702230i	$-0.997765\pi$
$941$	−10115.7	−	22150.3i	−0.350438	−	0.767352i	0.649537	−	0.760330i	$-0.274963\pi$
$942$	−19848.2			−0.686505
$943$	−20644.3	+	41039.6i	−0.712907	+	1.41721i
$944$	12220.8			0.421348
$945$	6032.31	+	13208.9i	0.207652	+	0.454694i
$946$	3100.06	−	910.258i	0.106545	−	0.0312844i
$947$	23339.2	−	26934.9i	0.800870	−	0.924253i	−0.197559	−	0.980291i	$-0.563301\pi$
$947$	23339.2	−	26934.9i	0.800870	−	0.924253i	0.998429	+	0.0560381i	$0.0178468\pi$
$948$	4229.84	+	2718.35i	0.144914	+	0.0931307i
$949$	4548.76	+	5249.55i	0.155594	+	0.179565i
$950$	−9106.71	−	63338.6i	−0.311011	−	2.16313i
$951$	−734.451	−	215.654i	−0.0250433	−	0.00735339i
$952$	−14747.5	+	9477.63i	−0.502068	+	0.322659i
$953$	−1217.99	+	8471.34i	−0.0414005	+	0.287947i	0.958594	+	0.284775i	$0.0919188\pi$
$953$	−1217.99	+	8471.34i	−0.0414005	+	0.287947i	−0.999995	+	0.00317220i	$0.998990\pi$
$954$	963.168	−	2109.04i	0.0326873	−	0.0715753i
$955$	−1299.61	+	2845.74i	−0.0440359	+	0.0964252i
$956$	3853.20	−	26799.6i	0.130357	−	0.906653i
$957$	9959.01	−	6400.26i	0.336394	−	0.216187i
$958$	−32476.4	−	9535.93i	−1.09527	−	0.321599i
$959$	1552.88	+	10800.5i	0.0522891	+	0.363679i
$960$	2481.40	+	2863.69i	0.0834238	+	0.0962762i
$961$	−4440.66	−	2853.84i	−0.149061	−	0.0957954i
$962$	1176.81	−	1358.11i	0.0394405	−	0.0455167i
$963$	−3621.15	+	1063.27i	−0.121173	+	0.0355797i
$964$	−613.886	−	1344.22i	−0.0205103	−	0.0449113i
$965$	45939.7			1.53249
$966$	−14794.6	−	10315.4i	−0.492763	−	0.343574i
$967$	−20787.8			−0.691302			−0.345651	−	0.938363i	$-0.612342\pi$
$967$	−20787.8			−0.691302			−0.345651	+	0.938363i	$0.612342\pi$
$968$	−3205.09	−	7018.16i	−0.106421	−	0.233029i
$969$	−27999.4	+	8221.37i	−0.928247	+	0.272558i
$970$	−40459.9	+	46693.2i	−1.33927	+	1.54560i
$971$	15117.5	+	9715.42i	0.499633	+	0.321094i	0.766069	−	0.642758i	$-0.222210\pi$
$971$	15117.5	+	9715.42i	0.499633	+	0.321094i	−0.266437	+	0.963852i	$0.585846\pi$
$972$	−636.525	−	734.589i	−0.0210047	−	0.0242407i
$973$	6837.81	+	47558.0i	0.225293	+	1.56695i
$974$	−28019.0	−	8227.12i	−0.921753	−	0.270651i
$975$	17723.1	−	11389.9i	0.582147	−	0.374123i
$976$	−540.312	+	3757.95i	−0.0177202	+	0.123247i
$977$	−2304.85	+	5046.91i	−0.0754745	+	0.165266i	−0.943608	−	0.331064i	$-0.892592\pi$
$977$	−2304.85	+	5046.91i	−0.0754745	+	0.165266i	0.868134	+	0.496330i	$0.165320\pi$
$978$	3393.19	−	7430.04i	0.110943	−	0.242931i
$979$	8258.40	−	57438.4i	0.269601	−	1.87512i
$980$	−26540.5	+	17056.6i	−0.865108	+	0.555971i
$981$	4447.96	+	1306.04i	0.144763	+	0.0425062i
$982$	4530.36	+	31509.3i	0.147219	+	1.02393i
$983$	3209.12	+	3703.52i	0.104125	+	0.120167i	0.805420	−	0.592705i	$-0.201940\pi$
$983$	3209.12	+	3703.52i	0.104125	+	0.120167i	−0.701295	+	0.712871i	$0.747394\pi$
$984$	−8408.77	−	5403.99i	−0.272420	−	0.175074i
$985$	55865.1	−	64471.7i	1.80712	−	2.08552i
$986$	−12709.2	+	3731.76i	−0.410490	+	0.120531i
$987$	7207.28	+	15781.7i	0.232432	+	0.508955i
$988$	−12847.6			−0.413701
$989$	−1416.52	−	3438.96i	−0.0455437	−	0.110569i
$990$	17019.7			0.546384
$991$	−15795.9	−	34588.2i	−0.506330	−	1.10871i	−0.974360	−	0.224995i	$-0.927763\pi$
$991$	−15795.9	−	34588.2i	−0.506330	−	1.10871i	0.468030	−	0.883713i	$-0.344964\pi$
$992$	−4807.11	+	1411.50i	−0.153857	+	0.0451765i
$993$	7066.65	−	8155.34i	0.225834	−	0.260626i
$994$	−46369.2	−	29799.7i	−1.47962	−	0.950894i
$995$	−37196.3	−	42926.8i	−1.18513	−	1.36771i
$996$	−1049.74	−	7301.13i	−0.0333960	−	0.232274i
$997$	43696.4	+	12830.4i	1.38804	+	0.407566i	0.888561	−	0.458758i	$-0.151706\pi$
$997$	43696.4	+	12830.4i	1.38804	+	0.407566i	0.499482	+	0.866325i	$0.333524\pi$
$998$	1677.46	−	1078.04i	0.0532056	−	0.0341932i
$999$	−130.033	+	904.399i	−0.00411818	+	0.0286426i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	138.4.e.c.73.1	✓	30
23.6	even	11	inner	138.4.e.c.121.1	yes	30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
138.4.e.c.73.1	✓	30	1.1	even	1	trivial
138.4.e.c.121.1	yes	30	23.6	even	11	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 138 = 2 \cdot 3 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	138.e (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.830830 - 1.81926i) q^{2} +(-2.87848 + 0.845198i) q^{3} +(-2.61944 + 3.02300i) q^{4} +(-16.6025 - 10.6698i) q^{5} +(3.92916 + 4.53450i) q^{6} +(3.87830 + 26.9742i) q^{7} +(7.67594 + 2.25386i) q^{8} +(7.57128 - 4.86577i) q^{9} +O(q^{10})\)	\(q+(-0.830830 - 1.81926i) q^{2} +(-2.87848 + 0.845198i) q^{3} +(-2.61944 + 3.02300i) q^{4} +(-16.6025 - 10.6698i) q^{5} +(3.92916 + 4.53450i) q^{6} +(3.87830 + 26.9742i) q^{7} +(7.67594 + 2.25386i) q^{8} +(7.57128 - 4.86577i) q^{9} +(-5.61729 + 39.0691i) q^{10} +(19.9028 - 43.5810i) q^{11} +(4.98498 - 10.9156i) q^{12} +(-3.77865 + 26.2811i) q^{13} +(45.8509 - 29.4666i) q^{14} +(56.8080 + 16.6803i) q^{15} +(-2.27704 - 15.8371i) q^{16} +(52.6573 + 60.7698i) q^{17} +(-15.1426 - 9.73153i) q^{18} +(79.2182 - 91.4227i) q^{19} +(75.7441 - 22.2405i) q^{20} +(-33.9621 - 74.3666i) q^{21} -95.8212 q^{22} +(11.5745 + 109.695i) q^{23} -24.0000 q^{24} +(109.872 + 240.586i) q^{25} +(50.9516 - 14.9607i) q^{26} +(-17.6812 + 20.4052i) q^{27} +(-91.7018 - 58.9332i) q^{28} +(-53.9368 - 62.2464i) q^{29} +(-16.8519 - 117.207i) q^{30} +(150.222 + 44.1093i) q^{31} +(-26.9201 + 17.3005i) q^{32} +(-20.4552 + 142.269i) q^{33} +(66.8070 - 146.287i) q^{34} +(223.419 - 489.219i) q^{35} +(-5.12333 + 35.6336i) q^{36} +(28.4686 - 18.2957i) q^{37} +(-232.139 - 68.1621i) q^{38} +(-11.3359 - 78.8432i) q^{39} +(-103.392 - 119.320i) q^{40} +(350.365 + 225.166i) q^{41} +(-107.076 + 123.572i) q^{42} +(-32.3525 + 9.49955i) q^{43} +(79.6111 + 174.324i) q^{44} -177.619 q^{45} +(189.948 - 112.195i) q^{46} -212.215 q^{47} +(19.9399 + 43.6623i) q^{48} +(-383.458 + 112.593i) q^{49} +(346.405 - 399.773i) q^{50} +(-202.936 - 130.419i) q^{51} +(-69.5496 - 80.2646i) q^{52} +(18.3315 + 127.498i) q^{53} +(51.8126 + 15.2136i) q^{54} +(-795.436 + 511.195i) q^{55} +(-31.0264 + 215.793i) q^{56} +(-150.758 + 330.113i) q^{57} +(-68.4303 + 149.841i) q^{58} +(-108.700 + 756.025i) q^{59} +(-199.230 + 128.037i) q^{60} +(-227.675 - 66.8515i) q^{61} +(-44.5628 - 309.941i) q^{62} +(160.614 + 185.358i) q^{63} +(53.8402 + 34.6010i) q^{64} +(343.148 - 396.014i) q^{65} +(275.819 - 80.9878i) q^{66} +(349.620 + 765.561i) q^{67} -321.640 q^{68} +(-126.031 - 305.972i) q^{69} -1075.64 q^{70} +(-420.111 - 919.915i) q^{71} +(69.0835 - 20.2847i) q^{72} +(171.319 - 197.713i) q^{73} +(-56.9372 - 36.5913i) q^{74} +(-519.607 - 599.659i) q^{75} +(68.8631 + 478.953i) q^{76} +(1252.75 + 367.840i) q^{77} +(-134.018 + 86.1283i) q^{78} +(-59.6301 + 414.737i) q^{79} +(-131.174 + 287.232i) q^{80} +(33.6486 - 73.6802i) q^{81} +(118.543 - 824.482i) q^{82} +(517.105 - 332.323i) q^{83} +(313.772 + 92.1318i) q^{84} +(-225.843 - 1570.77i) q^{85} +(44.1616 + 50.9652i) q^{86} +(207.867 + 133.588i) q^{87} +(250.998 - 289.667i) q^{88} +(1162.13 - 341.233i) q^{89} +(147.571 + 323.136i) q^{90} -723.564 q^{91} +(-361.927 - 252.350i) q^{92} -469.693 q^{93} +(176.315 + 386.076i) q^{94} +(-2290.68 + 672.605i) q^{95} +(62.8666 - 72.5520i) q^{96} +(1316.82 + 846.269i) q^{97} +(523.426 + 604.065i) q^{98} +(-61.3655 - 426.806i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 30 q + 6 q^{2} - 9 q^{3} - 12 q^{4} - 4 q^{5} + 18 q^{6} + 4 q^{7} + 24 q^{8} - 27 q^{9}+O(q^{10}) \) 30 * q + 6 * q^2 - 9 * q^3 - 12 * q^4 - 4 * q^5 + 18 * q^6 + 4 * q^7 + 24 * q^8 - 27 * q^9	\( 30 q + 6 q^{2} - 9 q^{3} - 12 q^{4} - 4 q^{5} + 18 q^{6} + 4 q^{7} + 24 q^{8} - 27 q^{9} - 36 q^{10} - 5 q^{11} - 36 q^{12} - 59 q^{13} + 36 q^{14} + 120 q^{15} - 48 q^{16} - 291 q^{17} + 54 q^{18} + 319 q^{19} + 160 q^{20} + 45 q^{21} + 384 q^{22} + 472 q^{23} - 720 q^{24} + 321 q^{25} + 250 q^{26} - 81 q^{27} - 72 q^{28} + 753 q^{29} - 108 q^{30} - 345 q^{31} + 96 q^{32} - 609 q^{33} + 164 q^{34} - 646 q^{35} - 108 q^{36} - 349 q^{37} + 242 q^{38} - 177 q^{39} - 56 q^{40} - 548 q^{41} - 24 q^{42} + 1800 q^{43} - 20 q^{44} - 1026 q^{45} + 46 q^{46} + 2666 q^{47} - 144 q^{48} - 1685 q^{49} + 414 q^{50} + 51 q^{51} - 280 q^{52} + 769 q^{53} + 162 q^{54} - 4188 q^{55} - 32 q^{56} - 1518 q^{57} - 1264 q^{58} + 2649 q^{59} - 48 q^{60} + 876 q^{61} + 8 q^{62} + 36 q^{63} - 192 q^{64} + 906 q^{65} - 300 q^{66} - 451 q^{67} - 1648 q^{68} + 459 q^{69} + 1512 q^{70} - 2161 q^{71} + 216 q^{72} - 1838 q^{73} + 698 q^{74} - 621 q^{75} + 264 q^{76} + 7182 q^{77} - 1098 q^{78} - 4324 q^{79} - 64 q^{80} - 243 q^{81} + 3736 q^{82} + 191 q^{83} - 84 q^{84} - 2734 q^{85} + 1086 q^{86} - 1074 q^{87} + 392 q^{88} + 4073 q^{89} + 72 q^{90} - 1970 q^{91} - 4624 q^{92} + 1506 q^{93} - 954 q^{94} + 2153 q^{95} + 288 q^{96} - 157 q^{97} - 2988 q^{98} - 1827 q^{99}+O(q^{100}) \) 30 * q + 6 * q^2 - 9 * q^3 - 12 * q^4 - 4 * q^5 + 18 * q^6 + 4 * q^7 + 24 * q^8 - 27 * q^9 - 36 * q^10 - 5 * q^11 - 36 * q^12 - 59 * q^13 + 36 * q^14 + 120 * q^15 - 48 * q^16 - 291 * q^17 + 54 * q^18 + 319 * q^19 + 160 * q^20 + 45 * q^21 + 384 * q^22 + 472 * q^23 - 720 * q^24 + 321 * q^25 + 250 * q^26 - 81 * q^27 - 72 * q^28 + 753 * q^29 - 108 * q^30 - 345 * q^31 + 96 * q^32 - 609 * q^33 + 164 * q^34 - 646 * q^35 - 108 * q^36 - 349 * q^37 + 242 * q^38 - 177 * q^39 - 56 * q^40 - 548 * q^41 - 24 * q^42 + 1800 * q^43 - 20 * q^44 - 1026 * q^45 + 46 * q^46 + 2666 * q^47 - 144 * q^48 - 1685 * q^49 + 414 * q^50 + 51 * q^51 - 280 * q^52 + 769 * q^53 + 162 * q^54 - 4188 * q^55 - 32 * q^56 - 1518 * q^57 - 1264 * q^58 + 2649 * q^59 - 48 * q^60 + 876 * q^61 + 8 * q^62 + 36 * q^63 - 192 * q^64 + 906 * q^65 - 300 * q^66 - 451 * q^67 - 1648 * q^68 + 459 * q^69 + 1512 * q^70 - 2161 * q^71 + 216 * q^72 - 1838 * q^73 + 698 * q^74 - 621 * q^75 + 264 * q^76 + 7182 * q^77 - 1098 * q^78 - 4324 * q^79 - 64 * q^80 - 243 * q^81 + 3736 * q^82 + 191 * q^83 - 84 * q^84 - 2734 * q^85 + 1086 * q^86 - 1074 * q^87 + 392 * q^88 + 4073 * q^89 + 72 * q^90 - 1970 * q^91 - 4624 * q^92 + 1506 * q^93 - 954 * q^94 + 2153 * q^95 + 288 * q^96 - 157 * q^97 - 2988 * q^98 - 1827 * q^99

Introduction

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