LMFDB - Embedded newform 201.4.i.b.64.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [201,4,Mod(22,201)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(201, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 20]))

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

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

chi := DirichletCharacter("201.22");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 201 = 3 \cdot 67 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	201.i (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:	$11.8593839112$
Analytic rank:	$0$
Dimension:	$170$
Relative dimension:	$17$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			64.16
Character	$\chi$	$=$	201.64
Dual form			201.4.i.b.22.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(4.37690 + 1.28517i) q^{2} +(0.426945 - 2.96946i) q^{3} +(10.7756 + 6.92503i) q^{4} +(-8.92036 - 19.5329i) q^{5} +(5.68497 - 12.4484i) q^{6} +(-12.4208 - 3.64706i) q^{7} +(14.3655 + 16.5787i) q^{8} +(-8.63544 - 2.53559i) q^{9} +O(q^{10})$	\(q+(4.37690 + 1.28517i) q^{2} +(0.426945 - 2.96946i) q^{3} +(10.7756 + 6.92503i) q^{4} +(-8.92036 - 19.5329i) q^{5} +(5.68497 - 12.4484i) q^{6} +(-12.4208 - 3.64706i) q^{7} +(14.3655 + 16.5787i) q^{8} +(-8.63544 - 2.53559i) q^{9} +(-13.9404 - 96.9576i) q^{10} +(4.70628 + 10.3053i) q^{11} +(25.1642 - 29.0410i) q^{12} +(4.96525 - 5.73021i) q^{13} +(-49.6773 - 31.9257i) q^{14} +(-61.8107 + 18.1492i) q^{15} +(-0.998143 - 2.18563i) q^{16} +(30.7638 - 19.7707i) q^{17} +(-34.5378 - 22.1961i) q^{18} +(62.4622 - 18.3405i) q^{19} +(39.1438 - 272.251i) q^{20} +(-16.1328 + 35.3259i) q^{21} +(7.35480 + 51.1538i) q^{22} +(10.5331 - 73.2595i) q^{23} +(55.3632 - 35.5798i) q^{24} +(-220.103 + 254.012i) q^{25} +(29.0967 - 18.6993i) q^{26} +(-11.2162 + 24.5601i) q^{27} +(-108.585 - 125.313i) q^{28} +235.999 q^{29} -293.864 q^{30} +(140.339 + 161.960i) q^{31} +(-26.5353 - 184.557i) q^{32} +(32.6106 - 9.57534i) q^{33} +(160.059 - 46.9975i) q^{34} +(39.5600 + 275.146i) q^{35} +(-75.4926 - 87.1231i) q^{36} +134.737 q^{37} +296.961 q^{38} +(-14.8958 - 17.1906i) q^{39} +(195.684 - 428.489i) q^{40} +(239.913 - 154.182i) q^{41} +(-116.012 + 133.884i) q^{42} +(-38.8420 + 24.9623i) q^{43} +(-20.6518 + 143.637i) q^{44} +(27.5038 + 191.293i) q^{45} +(140.254 - 307.113i) q^{46} +(-38.5666 + 268.236i) q^{47} +(-6.91629 + 2.03081i) q^{48} +(-147.576 - 94.8413i) q^{49} +(-1289.82 + 828.914i) q^{50} +(-45.5739 - 99.7930i) q^{51} +(93.1852 - 27.3617i) q^{52} +(-489.800 - 314.775i) q^{53} +(-80.6562 + 93.0822i) q^{54} +(159.311 - 183.854i) q^{55} +(-117.967 - 258.312i) q^{56} +(-27.7937 - 193.310i) q^{57} +(1032.95 + 303.300i) q^{58} +(261.484 + 301.768i) q^{59} +(-791.728 - 232.472i) q^{60} +(-27.8572 + 60.9988i) q^{61} +(406.104 + 889.243i) q^{62} +(98.0112 + 62.9879i) q^{63} +(118.310 - 822.864i) q^{64} +(-156.219 - 45.8701i) q^{65} +155.039 q^{66} +(-0.153473 - 548.419i) q^{67} +468.410 q^{68} +(-213.045 - 62.5555i) q^{69} +(-180.460 + 1255.13i) q^{70} +(-174.346 - 112.046i) q^{71} +(-82.0159 - 179.590i) q^{72} +(59.3225 - 129.898i) q^{73} +(589.732 + 173.161i) q^{74} +(660.308 + 762.035i) q^{75} +(800.074 + 234.923i) q^{76} +(-20.8714 - 145.164i) q^{77} +(-43.1043 - 94.3853i) q^{78} +(-545.270 + 629.275i) q^{79} +(-33.7878 + 38.9932i) q^{80} +(68.1415 + 43.7919i) q^{81} +(1248.23 - 366.512i) q^{82} +(532.487 + 1165.98i) q^{83} +(-418.473 + 268.936i) q^{84} +(-660.603 - 424.544i) q^{85} +(-202.088 + 59.3385i) q^{86} +(100.759 - 700.791i) q^{87} +(-103.241 + 226.066i) q^{88} +(-160.496 - 1116.28i) q^{89} +(-125.464 + 872.619i) q^{90} +(-82.5706 + 53.0649i) q^{91} +(620.825 - 716.470i) q^{92} +(540.852 - 347.584i) q^{93} +(-513.532 + 1124.48i) q^{94} +(-915.429 - 1056.46i) q^{95} -559.365 q^{96} -942.143 q^{97} +(-524.038 - 604.772i) q^{98} +(-14.5107 - 100.924i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 170 q + 2 q^{2} + 51 q^{3} - 74 q^{4} - 4 q^{5} + 27 q^{6} + 12 q^{7} - 237 q^{8} - 153 q^{9}+O(q^{10}) $ 170 * q + 2 * q^2 + 51 * q^3 - 74 * q^4 - 4 * q^5 + 27 * q^6 + 12 * q^7 - 237 * q^8 - 153 * q^9	\( 170 q + 2 q^{2} + 51 q^{3} - 74 q^{4} - 4 q^{5} + 27 q^{6} + 12 q^{7} - 237 q^{8} - 153 q^{9} - 103 q^{10} - 144 q^{11} + 57 q^{12} + 124 q^{13} - 46 q^{14} - 54 q^{15} - 186 q^{16} - 30 q^{17} + 18 q^{18} - 80 q^{19} - 252 q^{20} - 36 q^{21} + 85 q^{22} - 802 q^{23} + 18 q^{24} - 613 q^{25} + 240 q^{26} + 459 q^{27} - 1555 q^{28} + 2192 q^{29} - 450 q^{30} - 58 q^{31} + 1859 q^{32} - 426 q^{33} + 302 q^{34} - 36 q^{35} - 171 q^{36} + 3954 q^{37} - 784 q^{38} - 372 q^{39} + 3005 q^{40} - 366 q^{41} + 798 q^{42} + 3050 q^{43} + 1975 q^{44} - 36 q^{45} + 3333 q^{46} + 328 q^{47} + 558 q^{48} - 3167 q^{49} + 2759 q^{50} + 486 q^{51} - 3726 q^{52} - 104 q^{53} - 54 q^{54} + 998 q^{55} + 7120 q^{56} - 255 q^{57} - 1612 q^{58} - 2324 q^{59} + 2835 q^{60} - 1876 q^{61} - 2496 q^{62} + 207 q^{63} + 3083 q^{64} - 7636 q^{65} - 3060 q^{66} - 659 q^{67} - 1178 q^{68} + 30 q^{69} - 2112 q^{70} - 8352 q^{71} - 846 q^{72} - 3925 q^{73} + 2196 q^{74} + 1839 q^{75} + 4532 q^{76} - 2118 q^{77} + 732 q^{78} - 4505 q^{79} - 3364 q^{80} - 1377 q^{81} - 6904 q^{82} + 3272 q^{83} - 2166 q^{84} + 6262 q^{85} - 8196 q^{86} - 174 q^{87} - 11862 q^{88} - 3226 q^{89} - 927 q^{90} - 7534 q^{91} + 10236 q^{92} - 3258 q^{93} + 5012 q^{94} - 1294 q^{95} + 1188 q^{96} - 1674 q^{97} - 9839 q^{98} + 288 q^{99}+O(q^{100}) \) 170 * q + 2 * q^2 + 51 * q^3 - 74 * q^4 - 4 * q^5 + 27 * q^6 + 12 * q^7 - 237 * q^8 - 153 * q^9 - 103 * q^10 - 144 * q^11 + 57 * q^12 + 124 * q^13 - 46 * q^14 - 54 * q^15 - 186 * q^16 - 30 * q^17 + 18 * q^18 - 80 * q^19 - 252 * q^20 - 36 * q^21 + 85 * q^22 - 802 * q^23 + 18 * q^24 - 613 * q^25 + 240 * q^26 + 459 * q^27 - 1555 * q^28 + 2192 * q^29 - 450 * q^30 - 58 * q^31 + 1859 * q^32 - 426 * q^33 + 302 * q^34 - 36 * q^35 - 171 * q^36 + 3954 * q^37 - 784 * q^38 - 372 * q^39 + 3005 * q^40 - 366 * q^41 + 798 * q^42 + 3050 * q^43 + 1975 * q^44 - 36 * q^45 + 3333 * q^46 + 328 * q^47 + 558 * q^48 - 3167 * q^49 + 2759 * q^50 + 486 * q^51 - 3726 * q^52 - 104 * q^53 - 54 * q^54 + 998 * q^55 + 7120 * q^56 - 255 * q^57 - 1612 * q^58 - 2324 * q^59 + 2835 * q^60 - 1876 * q^61 - 2496 * q^62 + 207 * q^63 + 3083 * q^64 - 7636 * q^65 - 3060 * q^66 - 659 * q^67 - 1178 * q^68 + 30 * q^69 - 2112 * q^70 - 8352 * q^71 - 846 * q^72 - 3925 * q^73 + 2196 * q^74 + 1839 * q^75 + 4532 * q^76 - 2118 * q^77 + 732 * q^78 - 4505 * q^79 - 3364 * q^80 - 1377 * q^81 - 6904 * q^82 + 3272 * q^83 - 2166 * q^84 + 6262 * q^85 - 8196 * q^86 - 174 * q^87 - 11862 * q^88 - 3226 * q^89 - 927 * q^90 - 7534 * q^91 + 10236 * q^92 - 3258 * q^93 + 5012 * q^94 - 1294 * q^95 + 1188 * q^96 - 1674 * q^97 - 9839 * q^98 + 288 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/201\mathbb{Z}\right)^\times$.

$n$	$68$	$136$
$\chi(n)$	$1$	$e\left(\frac{1}{11}\right)$

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 $

$2$	4.37690	+	1.28517i	1.54747	+	0.454378i	0.940343	−	0.340229i	$-0.110504\pi$
$2$	4.37690	+	1.28517i	1.54747	+	0.454378i	0.607125	+	0.794606i	$0.292323\pi$
$3$	0.426945	−	2.96946i	0.0821655	−	0.571474i
$3$	0.426945	−	2.96946i	0.0821655	−	0.571474i
$4$	10.7756	+	6.92503i	1.34694	+	0.865629i
$5$	−8.92036	−	19.5329i	−0.797861	−	1.74707i	−0.652632	−	0.757675i	$-0.726335\pi$
$5$	−8.92036	−	19.5329i	−0.797861	−	1.74707i	−0.145229	−	0.989398i	$-0.546392\pi$
$6$	5.68497	−	12.4484i	0.386813	−	0.847003i
$7$	−12.4208	−	3.64706i	−0.670658	−	0.196923i	−0.0713618	−	0.997450i	$-0.522734\pi$
$7$	−12.4208	−	3.64706i	−0.670658	−	0.196923i	−0.599296	+	0.800528i	$0.704553\pi$
$8$	14.3655	+	16.5787i	0.634874	+	0.732683i
$9$	−8.63544	−	2.53559i	−0.319831	−	0.0939109i
$10$	−13.9404	−	96.9576i	−0.440834	−	3.06607i
$11$	4.70628	+	10.3053i	0.129000	+	0.282470i	0.963100	−	0.269142i	$-0.0867401\pi$
$11$	4.70628	+	10.3053i	0.129000	+	0.282470i	−0.834101	+	0.551612i	$0.814013\pi$
$12$	25.1642	−	29.0410i	0.605356	−	0.698619i
$13$	4.96525	−	5.73021i	0.105932	−	0.122252i	−0.700308	−	0.713841i	$-0.746954\pi$
$13$	4.96525	−	5.73021i	0.105932	−	0.122252i	0.806239	+	0.591589i	$0.201499\pi$
$14$	−49.6773	−	31.9257i	−0.948344	−	0.609464i
$15$	−61.8107	+	18.1492i	−1.06396	+	0.312408i
$16$	−0.998143	−	2.18563i	−0.0155960	−	0.0341504i
$17$	30.7638	−	19.7707i	0.438901	−	0.282065i	−0.302471	−	0.953158i	$-0.597812\pi$
$17$	30.7638	−	19.7707i	0.438901	−	0.282065i	0.741372	+	0.671094i	$0.234175\pi$
$18$	−34.5378	−	22.1961i	−0.452257	−	0.290648i
$19$	62.4622	−	18.3405i	0.754200	−	0.221453i	0.118039	−	0.993009i	$-0.462339\pi$
$19$	62.4622	−	18.3405i	0.754200	−	0.221453i	0.636162	+	0.771556i	$0.280521\pi$
$20$	39.1438	−	272.251i	0.437641	−	3.04386i
$21$	−16.1328	+	35.3259i	−0.167641	+	0.367083i
$22$	7.35480	+	51.1538i	0.0712749	+	0.495728i
$23$	10.5331	−	73.2595i	0.0954917	−	0.664160i	−0.884708	−	0.466146i	$-0.845642\pi$
$23$	10.5331	−	73.2595i	0.0954917	−	0.664160i	0.980199	−	0.198013i	$-0.0634489\pi$
$24$	55.3632	−	35.5798i	0.470874	−	0.302612i
$25$	−220.103	+	254.012i	−1.76082	+	2.03209i
$26$	29.0967	−	18.6993i	0.219475	−	0.141048i
$27$	−11.2162	+	24.5601i	−0.0799467	+	0.175059i
$28$	−108.585	−	125.313i	−0.732877	−	0.845785i
$29$	235.999			1.51117			0.755585	−	0.655050i	$-0.227353\pi$
$29$	235.999			1.51117			0.755585	+	0.655050i	$0.227353\pi$
$30$	−293.864			−1.78840
$31$	140.339	+	161.960i	0.813086	+	0.938351i	0.999022	−	0.0442105i	$-0.0140772\pi$
$31$	140.339	+	161.960i	0.813086	+	0.938351i	−0.185936	+	0.982562i	$0.559532\pi$
$32$	−26.5353	−	184.557i	−0.146588	−	1.01954i
$33$	32.6106	−	9.57534i	0.172024	−	0.0505107i
$34$	160.059	−	46.9975i	0.807349	−	0.237059i
$35$	39.5600	+	275.146i	0.191053	+	1.32880i
$36$	−75.4926	−	87.1231i	−0.349503	−	0.403348i
$37$	134.737			0.598667			0.299334	−	0.954149i	$-0.403236\pi$
$37$	134.737			0.598667			0.299334	+	0.954149i	$0.403236\pi$
$38$	296.961			1.26772
$39$	−14.8958	−	17.1906i	−0.0611598	−	0.0705821i
$40$	195.684	−	428.489i	0.773510	−	1.69375i
$41$	239.913	−	154.182i	0.913855	−	0.587299i	0.00298650	−	0.999996i	$-0.499049\pi$
$41$	239.913	−	154.182i	0.913855	−	0.587299i	0.910869	+	0.412697i	$0.135413\pi$
$42$	−116.012	+	133.884i	−0.426214	+	0.491877i
$43$	−38.8420	+	24.9623i	−0.137752	+	0.0885281i	−0.607702	−	0.794165i	$-0.707908\pi$
$43$	−38.8420	+	24.9623i	−0.137752	+	0.0885281i	0.469950	+	0.882693i	$0.344272\pi$
$44$	−20.6518	+	143.637i	−0.0707587	+	0.492138i
$45$	27.5038	+	191.293i	0.0911117	+	0.633696i
$46$	140.254	−	307.113i	0.449550	−	0.984376i
$47$	−38.5666	+	268.236i	−0.119692	+	0.832474i	0.838204	+	0.545357i	$0.183606\pi$
$47$	−38.5666	+	268.236i	−0.119692	+	0.832474i	−0.957896	+	0.287117i	$0.907303\pi$
$48$	−6.91629	+	2.03081i	−0.0207975	+	0.00610670i
$49$	−147.576	−	94.8413i	−0.430251	−	0.276505i
$50$	−1289.82	+	828.914i	−3.64815	+	2.34452i
$51$	−45.5739	−	99.7930i	−0.125130	−	0.273996i
$52$	93.1852	−	27.3617i	0.248509	−	0.0729688i
$53$	−489.800	−	314.775i	−1.26942	−	0.815806i	−0.279875	−	0.960036i	$-0.590293\pi$
$53$	−489.800	−	314.775i	−1.26942	−	0.815806i	−0.989544	+	0.144230i	$0.953929\pi$
$54$	−80.6562	+	93.0822i	−0.203258	+	0.234572i
$55$	159.311	−	183.854i	0.390572	−	0.450744i
$56$	−117.967	−	258.312i	−0.281501	−	0.616401i
$57$	−27.7937	−	193.310i	−0.0645854	−	0.449201i
$58$	1032.95	+	303.300i	2.33849	+	0.686642i
$59$	261.484	+	301.768i	0.576988	+	0.665879i	0.966954	−	0.254950i	$-0.0820590\pi$
$59$	261.484	+	301.768i	0.576988	+	0.665879i	−0.389967	+	0.920829i	$0.627513\pi$
$60$	−791.728	−	232.472i	−1.70353	−	0.500201i
$61$	−27.8572	+	60.9988i	−0.0584713	+	0.128034i	−0.936612	−	0.350368i	$-0.886057\pi$
$61$	−27.8572	+	60.9988i	−0.0584713	+	0.128034i	0.878141	+	0.478402i	$0.158784\pi$
$62$	406.104	+	889.243i	0.831859	+	1.82152i
$63$	98.0112	+	62.9879i	0.196004	+	0.125964i
$64$	118.310	−	822.864i	0.231074	−	1.60716i
$65$	−156.219	−	45.8701i	−0.298102	−	0.0875306i
$66$	155.039			0.289152
$67$	−0.153473	−	548.419i	−0.000279846	−	1.00000i
$67$	−0.153473	−	548.419i	−0.000279846	−	1.00000i
$68$	468.410			0.835339
$69$	−213.045	−	62.5555i	−0.371704	−	0.109142i
$70$	−180.460	+	1255.13i	−0.308130	+	2.14309i
$71$	−174.346	−	112.046i	−0.291424	−	0.187287i	0.386757	−	0.922182i	$-0.373595\pi$
$71$	−174.346	−	112.046i	−0.291424	−	0.187287i	−0.678181	+	0.734895i	$0.737232\pi$
$72$	−82.0159	−	179.590i	−0.134245	−	0.293956i
$73$	59.3225	−	129.898i	0.0951119	−	0.208266i	−0.856096	−	0.516817i	$-0.827117\pi$
$73$	59.3225	−	129.898i	0.0951119	−	0.208266i	0.951208	+	0.308551i	$0.0998440\pi$
$74$	589.732	+	173.161i	0.926418	+	0.272021i
$75$	660.308	+	762.035i	1.01661	+	1.17323i
$76$	800.074	+	234.923i	1.20756	+	0.354572i
$77$	−20.8714	−	145.164i	−0.0308899	−	0.214844i
$78$	−43.1043	−	94.3853i	−0.0625718	−	0.137013i
$79$	−545.270	+	629.275i	−0.776553	+	0.896189i	−0.996855	−	0.0792421i	$-0.974750\pi$
$79$	−545.270	+	629.275i	−0.776553	+	0.896189i	0.220303	+	0.975432i	$0.429295\pi$
$80$	−33.7878	+	38.9932i	−0.0472199	+	0.0544946i
$81$	68.1415	+	43.7919i	0.0934726	+	0.0600712i
$82$	1248.23	−	366.512i	1.68102	−	0.493591i
$83$	532.487	+	1165.98i	0.704193	+	1.54197i	0.834812	+	0.550535i	$0.185576\pi$
$83$	532.487	+	1165.98i	0.704193	+	1.54197i	−0.130619	+	0.991433i	$0.541696\pi$
$84$	−418.473	+	268.936i	−0.543561	+	0.349325i
$85$	−660.603	−	424.544i	−0.842970	−	0.541744i
$86$	−202.088	+	59.3385i	−0.253393	+	0.0744028i
$87$	100.759	−	700.791i	0.124166	−	0.863594i
$88$	−103.241	+	226.066i	−0.125063	+	0.273849i
$89$	−160.496	−	1116.28i	−0.191152	−	1.32949i	−0.828964	−	0.559302i	$-0.811069\pi$
$89$	−160.496	−	1116.28i	−0.191152	−	1.32949i	0.637811	−	0.770193i	$-0.279840\pi$
$90$	−125.464	+	872.619i	−0.146945	+	1.02202i
$91$	−82.5706	+	53.0649i	−0.0951181	+	0.0611287i
$92$	620.825	−	716.470i	0.703538	−	0.811926i
$93$	540.852	−	347.584i	0.603051	−	0.387557i
$94$	−513.532	+	1124.48i	−0.563477	+	1.23384i
$95$	−915.429	−	1056.46i	−0.988642	−	1.14095i
$96$	−559.365			−0.594687
$97$	−942.143			−0.986187			−0.493093	−	0.869976i	$-0.664134\pi$
$97$	−942.143			−0.986187			−0.493093	+	0.869976i	$0.664134\pi$
$98$	−524.038	−	604.772i	−0.540161	−	0.623379i
$99$	−14.5107	−	100.924i	−0.0147311	−	0.102457i
$100$	−4130.77	+	1212.90i	−4.13077	+	1.21290i
$101$	1660.86	−	487.672i	1.63625	−	0.480447i	0.670933	−	0.741518i	$-0.265894\pi$
$101$	1660.86	−	487.672i	1.63625	−	0.480447i	0.965319	+	0.261071i	$0.0840758\pi$
$102$	−71.2212	−	495.355i	−0.0691368	−	0.480857i
$103$	−525.494	−	606.452i	−0.502703	−	0.580150i	0.446512	−	0.894778i	$-0.352666\pi$
$103$	−525.494	−	606.452i	−0.502703	−	0.580150i	−0.949215	+	0.314627i	$0.898121\pi$
$104$	166.328			0.156825
$105$	833.926			0.775075
$106$	−1739.26	−	2007.22i	−1.59370	−	1.83923i
$107$	401.436	−	879.022i	0.362694	−	0.794190i	−0.637033	−	0.770837i	$-0.719839\pi$
$107$	401.436	−	879.022i	0.362694	−	0.794190i	0.999727	−	0.0233532i	$-0.00743422\pi$
$108$	−290.940	+	186.976i	−0.259220	+	0.166590i
$109$	−423.952	+	489.266i	−0.372543	+	0.429938i	−0.910803	−	0.412841i	$-0.864536\pi$
$109$	−423.952	+	489.266i	−0.372543	+	0.429938i	0.538260	+	0.842779i	$0.319082\pi$
$110$	933.572	−	599.970i	0.809206	−	0.520045i
$111$	57.5254	−	400.098i	0.0491898	−	0.342122i
$112$	4.42656	+	30.7874i	0.00373456	+	0.0259744i
$113$	−971.658	+	2127.63i	−0.808902	+	1.77125i	−0.196843	+	0.980435i	$0.563069\pi$
$113$	−971.658	+	2127.63i	−0.808902	+	1.77125i	−0.612059	+	0.790812i	$0.709658\pi$
$114$	126.786	−	881.817i	0.104163	−	0.724471i
$115$	−1524.93	+	447.759i	−1.23652	+	0.363076i
$116$	2543.02	+	1634.30i	2.03546	+	1.30811i
$117$	−57.4066	+	36.8930i	−0.0453611	+	0.0291518i
$118$	756.663	+	1656.86i	0.590309	+	1.29260i
$119$	−454.215	+	133.369i	−0.349897	+	0.102739i
$120$	−1188.84	−	764.018i	−0.904378	−	0.581208i
$121$	787.569	−	908.903i	0.591712	−	0.682872i
$122$	−200.322	+	231.184i	−0.148659	+	0.171561i
$123$	−355.410	−	778.239i	−0.260539	−	0.570500i
$124$	390.655	+	2717.06i	0.282918	+	1.96774i
$125$	4349.53	+	1277.14i	3.11227	+	0.913845i
$126$	348.035	+	401.653i	0.246074	+	0.283985i
$127$	896.198	+	263.148i	0.626179	+	0.183863i	0.579401	−	0.815043i	$-0.303286\pi$
$127$	896.198	+	263.148i	0.626179	+	0.183863i	0.0467780	+	0.998905i	$0.485105\pi$
$128$	955.706	−	2092.70i	0.659947	−	1.44508i
$129$	57.5411	+	125.997i	0.0392730	+	0.0859958i
$130$	−624.805	−	401.538i	−0.421531	−	0.270902i
$131$	−312.717	+	2175.00i	−0.208567	+	1.45061i	0.569272	+	0.822149i	$0.307225\pi$
$131$	−312.717	+	2175.00i	−0.208567	+	1.45061i	−0.777839	+	0.628464i	$0.783684\pi$
$132$	417.707	+	122.650i	0.275430	+	0.0808735i
$133$	−842.716			−0.549419
$134$	704.142	−	2400.57i	0.453945	−	1.54760i
$135$	579.781			0.369627
$136$	769.712	+	226.008i	0.485311	+	0.142500i
$137$	−316.416	+	2200.72i	−0.197323	+	1.37241i	0.614688	+	0.788770i	$0.289282\pi$
$137$	−316.416	+	2200.72i	−0.197323	+	1.37241i	−0.812011	+	0.583642i	$0.801627\pi$
$138$	−852.080	−	547.599i	−0.525608	−	0.337788i
$139$	337.279	+	738.537i	0.205810	+	0.450661i	0.984186	−	0.177137i	$-0.0566835\pi$
$139$	337.279	+	738.537i	0.205810	+	0.450661i	−0.778376	+	0.627798i	$0.783956\pi$
$140$	−1479.11	+	3238.81i	−0.892913	+	1.95521i
$141$	780.052	+	229.044i	0.465902	+	0.136801i
$142$	−619.098	−	714.478i	−0.365870	−	0.422237i
$143$	82.4195	+	24.2006i	0.0481977	+	0.0141521i
$144$	3.07754	+	21.4047i	0.00178098	+	0.0123870i
$145$	−2105.20	−	4609.74i	−1.20570	−	2.64013i
$146$	426.590	−	492.311i	0.241814	−	0.279068i
$147$	−344.635	+	397.730i	−0.193367	+	0.223158i
$148$	1451.87	+	933.060i	0.806371	+	0.518223i
$149$	1010.62	−	296.746i	0.555662	−	0.163157i	0.00816774	−	0.999967i	$-0.497400\pi$
$149$	1010.62	−	296.746i	0.555662	−	0.163157i	0.547494	+	0.836810i	$0.315582\pi$
$150$	1910.75	+	4183.96i	1.04008	+	2.27746i
$151$	1281.63	−	823.655i	0.690714	−	0.443895i	−0.147626	−	0.989043i	$-0.547163\pi$
$151$	1281.63	−	823.655i	0.690714	−	0.443895i	0.838340	+	0.545148i	$0.183527\pi$
$152$	1201.37	+	772.071i	0.641077	+	0.411995i
$153$	−315.789	+	92.7241i	−0.166863	+	0.0489954i
$154$	95.2088	−	662.191i	0.0498191	−	0.346499i
$155$	1911.67	−	4185.97i	0.990638	−	2.16919i
$156$	−41.4645	−	288.392i	−0.0212809	−	0.148012i
$157$	229.782	−	1598.17i	0.116806	−	0.812406i	−0.844229	−	0.535982i	$-0.819941\pi$
$157$	229.782	−	1598.17i	0.116806	−	0.812406i	0.961036	−	0.276424i	$-0.0891495\pi$
$158$	−3195.32	+	2053.51i	−1.60890	+	1.03398i
$159$	−1143.83	+	1320.05i	−0.570514	+	0.658408i
$160$	−3368.23	+	2164.63i	−1.66426	+	1.06956i
$161$	−398.011	+	871.524i	−0.194830	+	0.426619i
$162$	241.969	+	279.247i	0.117351	+	0.135430i
$163$	−1102.82			−0.529934			−0.264967	−	0.964257i	$-0.585361\pi$
$163$	−1102.82			−0.529934			−0.264967	+	0.964257i	$0.585361\pi$
$164$	3652.91			1.73930
$165$	−477.932	−	551.563i	−0.225497	−	0.260237i
$166$	832.150	+	5787.73i	0.389081	+	2.70612i
$167$	3415.55	−	1002.90i	1.58265	−	0.464709i	0.632001	−	0.774967i	$-0.282234\pi$
$167$	3415.55	−	1002.90i	1.58265	−	0.464709i	0.950652	+	0.310258i	$0.100416\pi$
$168$	−817.415	+	240.015i	−0.375386	+	0.110223i
$169$	304.484	+	2117.73i	0.138591	+	0.963921i
$170$	−2345.78	−	2707.17i	−1.05831	−	1.22136i
$171$	−585.892			−0.262013
$172$	−591.409			−0.262177
$173$	−1122.06	−	1294.93i	−0.493115	−	0.569085i	0.453581	−	0.891215i	$-0.350146\pi$
$173$	−1122.06	−	1294.93i	−0.493115	−	0.569085i	−0.946695	+	0.322131i	$0.895601\pi$
$174$	1341.65	−	2937.80i	0.584541	−	1.27997i
$175$	3660.24	−	2352.29i	1.58107	−	1.01609i
$176$	17.8261	−	20.5724i	0.00763460	−	0.00881080i
$177$	1007.73	−	647.628i	0.427941	−	0.275021i
$178$	732.133	−	5092.09i	0.308290	−	2.14421i
$179$	26.9634	+	187.535i	0.0112589	+	0.0783072i	0.994676	−	0.103050i	$-0.0328601\pi$
$179$	26.9634	+	187.535i	0.0112589	+	0.0783072i	−0.983417	+	0.181357i	$0.941951\pi$
$180$	−1028.34	+	2251.76i	−0.425823	+	0.932422i
$181$	−402.968	+	2802.71i	−0.165483	+	1.15096i	0.722597	+	0.691269i	$0.242948\pi$
$181$	−402.968	+	2802.71i	−0.165483	+	1.15096i	−0.888080	+	0.459689i	$0.847961\pi$
$182$	−429.601	+	126.142i	−0.174968	+	0.0513752i
$183$	169.240	+	108.764i	0.0683640	+	0.0439348i
$184$	1365.86	−	877.788i	0.547244	−	0.351692i
$185$	−1201.91	−	2631.81i	−0.477653	−	1.04592i
$186$	2813.96	−	826.253i	1.10930	−	0.325720i
$187$	348.527	+	223.984i	0.136293	+	0.0875902i
$188$	−2273.12	+	2623.32i	−0.881832	+	1.01769i
$189$	228.886	−	264.148i	0.0880899	−	0.101661i
$190$	−2649.00	−	5800.51i	−1.01147	−	2.21481i
$191$	−568.445	−	3953.63i	−0.215347	−	1.49777i	−0.754911	−	0.655827i	$-0.772320\pi$
$191$	−568.445	−	3953.63i	−0.215347	−	1.49777i	0.539564	−	0.841944i	$-0.318589\pi$
$192$	−2392.95	−	702.635i	−0.899462	−	0.264106i
$193$	−3269.98	−	3773.76i	−1.21958	−	1.40747i	−0.885318	−	0.464985i	$-0.846060\pi$
$193$	−3269.98	−	3773.76i	−1.21958	−	1.40747i	−0.334258	−	0.942482i	$-0.608486\pi$
$194$	−4123.67	−	1210.82i	−1.52609	−	0.448101i
$195$	−202.907	+	444.304i	−0.0745151	+	0.163165i
$196$	−933.434	−	2043.94i	−0.340173	−	0.744875i
$197$	2488.02	+	1598.95i	0.899816	+	0.578277i	0.906736	−	0.421699i	$-0.138566\pi$
$197$	2488.02	+	1598.95i	0.899816	+	0.578277i	−0.00691953	+	0.999976i	$0.502203\pi$
$198$	66.1932	−	460.384i	0.0237583	−	0.165243i
$199$	2906.23	+	853.346i	1.03526	+	0.303980i	0.754849	−	0.655899i	$-0.227710\pi$
$199$	2906.23	+	853.346i	1.03526	+	0.303980i	0.280413	+	0.959879i	$0.409529\pi$
$200$	−7373.09			−2.60678
$201$	−1628.58	−	233.689i	−0.571497	−	0.0820056i
$202$	7896.15			2.75035
$203$	−2931.29	−	860.704i	−1.01348	−	0.297584i
$204$	199.985	−	1390.93i	0.0686360	−	0.477374i
$205$	−5151.73	−	3310.82i	−1.75518	−	1.12799i
$206$	−1520.64	−	3329.73i	−0.514310	−	1.12618i
$207$	−276.715	+	605.920i	−0.0929130	+	0.203451i
$208$	−17.4801	−	5.13263i	−0.00582706	−	0.00171098i
$209$	482.970	+	557.377i	0.159846	+	0.184472i
$210$	3650.01	+	1071.74i	1.19940	+	0.352177i
$211$	−376.444	−	2618.23i	−0.122822	−	0.854248i	−0.954334	−	0.298741i	$-0.903433\pi$
$211$	−376.444	−	2618.23i	−0.122822	−	0.854248i	0.831512	−	0.555507i	$-0.187476\pi$
$212$	−3098.04	−	6783.76i	−1.00365	−	2.19769i
$213$	−407.152	+	469.878i	−0.130974	+	0.151153i
$214$	2886.74	−	3331.48i	0.922120	−	1.06418i
$215$	834.069	+	536.024i	0.264572	+	0.170030i
$216$	−568.302	+	166.868i	−0.179019	+	0.0525646i
$217$	−1152.44	−	2523.49i	−0.360519	−	0.789428i
$218$	−2484.39	+	1596.62i	−0.771853	+	0.496040i
$219$	−360.400	−	231.615i	−0.111204	−	0.0714662i
$220$	2989.86	−	877.902i	0.916256	−	0.269037i
$221$	39.4599	−	274.450i	0.0120107	−	0.0835361i
$222$	765.978	−	1677.26i	0.231572	−	0.507073i
$223$	298.494	+	2076.07i	0.0896350	+	0.623425i	0.984276	+	0.176639i	$0.0565225\pi$
$223$	298.494	+	2076.07i	0.0896350	+	0.623425i	−0.894641	+	0.446786i	$0.852568\pi$
$224$	−343.503	+	2389.11i	−0.102461	+	0.712631i
$225$	2544.75	−	1635.41i	0.754001	−	0.484567i
$226$	−6987.23	+	8063.69i	−2.05656	+	2.37340i
$227$	−418.772	+	269.129i	−0.122445	+	0.0786903i	−0.600430	−	0.799678i	$-0.705004\pi$
$227$	−418.772	+	269.129i	−0.122445	+	0.0786903i	0.477985	+	0.878368i	$0.341367\pi$
$228$	1039.18	−	2275.49i	0.301849	−	0.660956i
$229$	1529.41	+	1765.03i	0.441336	+	0.509329i	0.932218	−	0.361897i	$-0.117871\pi$
$229$	1529.41	+	1765.03i	0.441336	+	0.509329i	−0.490882	+	0.871226i	$0.663325\pi$
$230$	−7249.91			−2.07846
$231$	−439.970			−0.125316
$232$	3390.26	+	3912.57i	0.959402	+	1.10721i
$233$	703.508	+	4893.01i	0.197804	+	1.37576i	0.810639	+	0.585547i	$0.199120\pi$
$233$	703.508	+	4893.01i	0.197804	+	1.37576i	−0.612834	+	0.790211i	$0.709971\pi$
$234$	−298.677	+	87.6995i	−0.0834407	+	0.0245004i
$235$	5583.45	−	1639.45i	1.54989	−	0.455089i
$236$	727.878	+	5062.50i	0.200766	+	1.39636i
$237$	1635.81	+	1887.82i	0.448343	+	0.517415i
$238$	−2159.45			−0.588137
$239$	4980.50			1.34796			0.673978	−	0.738751i	$-0.264584\pi$
$239$	4980.50			1.34796			0.673978	+	0.738751i	$0.264584\pi$
$240$	101.363	+	116.980i	0.0272624	+	0.0314625i
$241$	1620.52	−	3548.44i	0.433140	−	0.948445i	−0.559667	−	0.828718i	$-0.689071\pi$
$241$	1620.52	−	3548.44i	0.433140	−	0.948445i	0.992807	−	0.119727i	$-0.0382020\pi$
$242$	4615.21	−	2966.02i	1.22594	−	0.787862i
$243$	159.131	−	183.647i	0.0420093	−	0.0484814i
$244$	−722.596	+	464.384i	−0.189588	+	0.121841i
$245$	−536.092	+	3728.60i	−0.139794	+	0.972292i
$246$	−555.421	−	3863.04i	−0.143953	−	1.00121i
$247$	205.045	−	448.987i	0.0528207	−	0.115661i
$248$	−669.042	+	4653.29i	−0.171307	+	1.19147i
$249$	3689.69	−	1083.39i	0.939054	−	0.275731i
$250$	17396.1	+	11179.8i	4.40091	+	2.82829i
$251$	−162.826	+	104.642i	−0.0409461	+	0.0263145i	−0.560954	−	0.827847i	$-0.689565\pi$
$251$	−162.826	+	104.642i	−0.0409461	+	0.0263145i	0.520008	+	0.854162i	$0.325929\pi$
$252$	619.931	+	1357.46i	0.154968	+	0.339333i
$253$	804.535	−	236.233i	0.199924	−	0.0587029i
$254$	3584.38	+	2303.54i	0.885449	+	0.569044i
$255$	−1542.71	+	1780.38i	−0.378855	+	0.437222i
$256$	2517.29	−	2905.11i	0.614573	−	0.709256i
$257$	249.325	+	545.946i	0.0605154	+	0.132510i	0.937474	−	0.348056i	$-0.113158\pi$
$257$	249.325	+	545.946i	0.0605154	+	0.132510i	−0.876958	+	0.480567i	$0.840431\pi$
$258$	89.9231	+	625.429i	0.0216991	+	0.150921i
$259$	−1673.54	−	491.395i	−0.401501	−	0.117891i
$260$	−1365.70	−	1576.10i	−0.325758	−	0.375944i
$261$	−2037.96	−	598.398i	−0.483319	−	0.141915i
$262$	−4163.98	+	9117.84i	−0.981876	+	2.15001i
$263$	−443.577	−	971.299i	−0.104001	−	0.227730i	0.850477	−	0.526012i	$-0.176313\pi$
$263$	−443.577	−	971.299i	−0.104001	−	0.227730i	−0.954478	+	0.298283i	$0.903586\pi$
$264$	627.216	+	403.087i	0.146222	+	0.0939709i
$265$	−1779.27	+	12375.1i	−0.412452	+	2.86867i
$266$	−3688.48	−	1083.04i	−0.850209	−	0.249644i
$267$	−3383.26			−0.775477
$268$	3796.16	−	5910.58i	0.865252	−	1.34719i
$269$	3409.94			0.772890			0.386445	−	0.922312i	$-0.373703\pi$
$269$	3409.94			0.772890			0.386445	+	0.922312i	$0.373703\pi$
$270$	2537.64	+	745.120i	0.571986	+	0.167950i
$271$	775.658	−	5394.82i	0.173867	−	1.20927i	−0.696752	−	0.717312i	$-0.745372\pi$
$271$	775.658	−	5394.82i	0.173867	−	1.20927i	0.870619	−	0.491958i	$-0.163719\pi$
$272$	−73.9180	−	47.5042i	−0.0164777	−	0.0105896i
$273$	122.321	+	267.846i	0.0271180	+	0.0593802i
$274$	−4213.23	+	9225.70i	−0.928944	+	2.03410i
$275$	−3653.54	−	1072.78i	−0.801151	−	0.235239i
$276$	−1862.47	−	2149.41i	−0.406188	−	0.468766i
$277$	−1993.11	−	585.229i	−0.432326	−	0.126942i	0.0583270	−	0.998298i	$-0.481423\pi$
$277$	−1993.11	−	585.229i	−0.432326	−	0.126942i	−0.490653	+	0.871355i	$0.663242\pi$
$278$	527.086	+	3665.97i	0.113714	+	0.790900i
$279$	−801.226	−	1754.44i	−0.171929	−	0.376471i
$280$	−3993.27	+	4608.48i	−0.852298	+	0.983605i
$281$	−5365.19	+	6191.76i	−1.13901	+	1.31448i	−0.196420	+	0.980520i	$0.562932\pi$
$281$	−5365.19	+	6191.76i	−1.13901	+	1.31448i	−0.942586	+	0.333963i	$0.891614\pi$
$282$	3119.85	+	2005.01i	0.658810	+	0.423391i
$283$	−5946.43	+	1746.03i	−1.24904	+	0.366751i	−0.838405	−	0.545048i	$-0.816511\pi$
$283$	−5946.43	+	1746.03i	−1.24904	+	0.366751i	−0.410636	+	0.911799i	$0.634693\pi$
$284$	−1102.76	−	2414.71i	−0.230411	−	0.504530i
$285$	−3527.96	+	2267.28i	−0.733257	+	0.471236i
$286$	329.640	+	211.847i	0.0681539	+	0.0437999i
$287$	−3542.21	+	1040.09i	−0.728536	+	0.213918i
$288$	−238.818	+	1661.01i	−0.0488628	+	0.339848i
$289$	−1485.40	+	3252.58i	−0.302341	+	0.662035i
$290$	−3289.92	−	22881.9i	−0.666176	−	4.63336i
$291$	−402.243	+	2797.66i	−0.0810305	+	0.563580i
$292$	1538.78	−	988.914i	0.308392	−	0.198191i
$293$	−3330.47	+	3843.57i	−0.664056	+	0.766361i	−0.983434	−	0.181266i	$-0.941981\pi$
$293$	−3330.47	+	3843.57i	−0.664056	+	0.766361i	0.319378	+	0.947627i	$0.396526\pi$
$294$	−2019.58	+	1297.91i	−0.400627	+	0.257468i
$295$	3561.87	−	7799.41i	0.702983	−	1.53932i
$296$	1935.58	+	2233.77i	0.380078	+	0.438633i
$297$	−305.886			−0.0597620
$298$	4804.77			0.934004
$299$	−367.493	−	424.109i	−0.0710791	−	0.0820297i
$300$	1838.06	+	12784.0i	0.353735	+	2.46028i
$301$	573.486	−	168.391i	0.109818	−	0.0322454i
$302$	6668.12	−	1957.94i	1.27055	−	0.373068i
$303$	−739.030	−	5140.06i	−0.140119	−	0.974551i
$304$	−102.432	−	118.213i	−0.0193252	−	0.0223025i
$305$	1439.98			0.270337
$306$	−1501.35			−0.280478
$307$	2004.66	+	2313.50i	0.372678	+	0.430093i	0.910847	−	0.412744i	$-0.135429\pi$
$307$	2004.66	+	2313.50i	0.372678	+	0.430093i	−0.538170	+	0.842837i	$0.680884\pi$
$308$	780.363	−	1708.76i	0.144368	−	0.316122i
$309$	−2025.19	+	1301.51i	−0.372846	+	0.239613i
$310$	13746.9	−	15864.7i	2.51861	−	2.90664i
$311$	2238.80	−	1438.79i	0.408202	−	0.262336i	−0.320387	−	0.947287i	$-0.603813\pi$
$311$	2238.80	−	1438.79i	0.408202	−	0.262336i	0.728589	+	0.684951i	$0.240176\pi$
$312$	71.0129	−	493.906i	0.0128856	−	0.0896215i
$313$	412.870	+	2871.57i	0.0745584	+	0.518565i	0.992538	+	0.121937i	$0.0389107\pi$
$313$	412.870	+	2871.57i	0.0745584	+	0.518565i	−0.917979	+	0.396628i	$0.870180\pi$
$314$	3059.66	−	6699.72i	0.549893	−	1.20410i
$315$	356.040	−	2476.31i	0.0636844	−	0.442935i
$316$	−10233.3	+	3004.78i	−1.82174	+	0.534911i
$317$	7235.38	+	4649.90i	1.28195	+	0.823862i	0.991128	−	0.132914i	$-0.0424333\pi$
$317$	7235.38	+	4649.90i	1.28195	+	0.823862i	0.290827	+	0.956776i	$0.406070\pi$
$318$	−6702.93	+	4307.71i	−1.18202	+	0.759637i
$319$	1110.68	+	2432.05i	0.194941	+	0.426861i
$320$	−17128.3	+	5029.31i	−2.99219	+	0.878585i
$321$	−2438.83	−	1567.34i	−0.424058	−	0.272525i
$322$	−2862.12	+	3303.06i	−0.495340	+	0.571653i
$323$	1558.97	−	1799.15i	0.268555	−	0.309929i
$324$	431.003	+	943.764i	0.0739031	+	0.161825i
$325$	362.676	+	2522.47i	0.0619004	+	0.430527i
$326$	−4826.92	−	1417.31i	−0.820056	−	0.240790i
$327$	1271.86	+	1467.80i	0.215088	+	0.248225i
$328$	6002.63	+	1762.53i	1.01049	+	0.296706i
$329$	1457.30	−	3191.04i	0.244205	−	0.534735i
$330$	−1383.01	−	3028.36i	−0.230703	−	0.505169i
$331$	−626.356	−	402.535i	−0.104011	−	0.0668438i	0.487601	−	0.873066i	$-0.337872\pi$
$331$	−626.356	−	402.535i	−0.104011	−	0.0668438i	−0.591612	+	0.806223i	$0.701508\pi$
$332$	−2336.63	+	16251.6i	−0.386263	+	2.68651i
$333$	−1163.52	−	341.639i	−0.191472	−	0.0562213i
$334$	16238.4			2.66026
$335$	−10710.8	+	4895.09i	−1.74685	+	0.798350i
$336$	93.3121			0.0151506
$337$	−7155.19	−	2100.95i	−1.15658	−	0.339603i	−0.353479	−	0.935443i	$-0.615001\pi$
$337$	−7155.19	−	2100.95i	−1.15658	−	0.339603i	−0.803104	+	0.595839i	$0.796819\pi$
$338$	−1388.96	+	9660.43i	−0.223519	+	1.55461i
$339$	5903.09	+	3793.68i	0.945757	+	0.607801i
$340$	−4178.39	−	9149.39i	−0.666485	−	1.45940i
$341$	−1008.57	+	2208.47i	−0.160168	+	0.350720i
$342$	−2564.39	−	752.973i	−0.405457	−	0.119053i
$343$	4394.81	+	5071.88i	0.691829	+	0.798413i
$344$	−971.829	−	285.355i	−0.152318	−	0.0447247i
$345$	678.546	+	4719.39i	0.105889	+	0.736473i
$346$	−3246.95	−	7109.82i	−0.504500	−	1.10470i
$347$	−6259.21	+	7223.51i	−0.968334	+	1.11752i	0.0247003	+	0.999695i	$0.492137\pi$
$347$	−6259.21	+	7223.51i	−0.968334	+	1.11752i	−0.993035	+	0.117823i	$0.962409\pi$
$348$	5938.73	−	6853.66i	0.914797	−	1.05573i
$349$	−1462.61	−	939.961i	−0.224331	−	0.144169i	0.423648	−	0.905827i	$-0.360749\pi$
$349$	−1462.61	−	939.961i	−0.224331	−	0.144169i	−0.647979	+	0.761658i	$0.724386\pi$
$350$	19043.6	−	5591.70i	2.90835	−	0.853969i
$351$	85.0430	+	186.218i	0.0129324	+	0.0283179i
$352$	1777.04	−	1142.03i	0.269081	−	0.172928i
$353$	2689.75	+	1728.60i	0.405555	+	0.260634i	0.727477	−	0.686132i	$-0.240693\pi$
$353$	2689.75	+	1728.60i	0.405555	+	0.260634i	−0.321922	+	0.946766i	$0.604329\pi$
$354$	5243.04	−	1539.50i	0.787188	−	0.231139i
$355$	−633.339	+	4404.97i	−0.0946878	+	0.658568i
$356$	6000.81	−	13139.9i	0.893377	−	1.95622i
$357$	202.111	+	1405.72i	0.0299632	+	0.208399i
$358$	−122.998	+	855.473i	−0.0181583	+	0.126294i
$359$	4030.45	−	2590.21i	0.592532	−	0.380797i	−0.209739	−	0.977757i	$-0.567261\pi$
$359$	4030.45	−	2590.21i	0.592532	−	0.380797i	0.802271	+	0.596960i	$0.203625\pi$
$360$	−2776.29	+	3204.01i	−0.406454	+	0.469073i
$361$	−2205.01	+	1417.07i	−0.321477	+	0.206601i
$362$	−5365.72	+	11749.3i	−0.779049	+	1.70588i
$363$	−2362.71	−	2726.71i	−0.341625	−	0.394257i
$364$	−1257.22			−0.181034
$365$	−3066.46			−0.439742
$366$	600.967	+	693.553i	0.0858280	+	0.0990508i
$367$	897.579	+	6242.80i	0.127666	+	0.887933i	0.948502	+	0.316770i	$0.102598\pi$
$367$	897.579	+	6242.80i	0.127666	+	0.887933i	−0.820837	+	0.571163i	$0.806492\pi$
$368$	−170.632	+	50.1020i	−0.0241706	+	0.00709714i
$369$	−2462.69	+	723.112i	−0.347433	+	0.102016i
$370$	−1878.29	−	13063.8i	−0.263913	−	1.83556i
$371$	4935.68	+	5696.08i	0.690695	+	0.797104i
$372$	8235.01			1.14776
$373$	−7147.12			−0.992128			−0.496064	−	0.868286i	$-0.665222\pi$
$373$	−7147.12			−0.992128			−0.496064	+	0.868286i	$0.665222\pi$
$374$	1237.61	+	1428.27i	0.171110	+	0.197471i
$375$	5649.42	−	12370.5i	0.777960	−	1.70349i
$376$	−5001.05	+	3213.98i	−0.685929	+	0.440820i
$377$	1171.80	−	1352.32i	0.160081	−	0.184743i
$378$	1341.29	−	861.993i	0.182509	−	0.117291i
$379$	−1237.46	+	8606.72i	−0.167715	+	1.16648i	0.715877	+	0.698227i	$0.246027\pi$
$379$	−1237.46	+	8606.72i	−0.167715	+	1.16648i	−0.883592	+	0.468258i	$0.844882\pi$
$380$	−2548.23	−	17723.3i	−0.344004	−	2.39260i
$381$	1164.03	−	2548.88i	0.156523	−	0.342738i
$382$	2593.07	−	18035.2i	0.347311	−	2.41560i
$383$	−2865.96	+	841.522i	−0.382360	+	0.112271i	−0.467263	−	0.884118i	$-0.654760\pi$
$383$	−2865.96	+	841.522i	−0.382360	+	0.112271i	0.0849036	+	0.996389i	$0.472942\pi$
$384$	−5806.17	−	3731.40i	−0.771602	−	0.495878i
$385$	−2649.29	+	1702.59i	−0.350702	+	0.225382i
$386$	−9462.44	−	20719.9i	−1.24773	−	2.73216i
$387$	398.712	−	117.072i	0.0523712	−	0.0153776i
$388$	−10152.1	−	6524.37i	−1.32834	−	0.853672i
$389$	−4656.79	+	5374.22i	−0.606963	+	0.700473i	−0.973177	−	0.230058i	$-0.926108\pi$
$389$	−4656.79	+	5374.22i	−0.606963	+	0.700473i	0.366214	+	0.930531i	$0.380654\pi$
$390$	−1459.11	+	1683.90i	−0.189448	+	0.218635i
$391$	−1124.35	−	2461.99i	−0.145424	−	0.318435i
$392$	−547.661	−	3809.07i	−0.0705640	−	0.490783i
$393$	6325.06	+	1857.20i	0.811850	+	0.238381i
$394$	8834.87	+	10196.0i	1.12968	+	1.30372i
$395$	17155.6	+	5037.32i	2.18529	+	0.641659i
$396$	542.542	−	1188.00i	0.0688479	−	0.150756i
$397$	−1299.12	−	2844.69i	−0.164235	−	0.359624i	0.809565	−	0.587030i	$-0.199703\pi$
$397$	−1299.12	−	2844.69i	−0.164235	−	0.359624i	−0.973800	+	0.227406i	$0.926976\pi$
$398$	11623.6	+	7470.02i	1.46391	+	0.940799i
$399$	−359.793	+	2502.42i	−0.0451433	+	0.313979i
$400$	774.869	+	227.522i	0.0968586	+	0.0284403i
$401$	−8507.96			−1.05952			−0.529760	−	0.848148i	$-0.677718\pi$
$401$	−8507.96			−1.05952			−0.529760	+	0.848148i	$0.677718\pi$
$402$	−6827.78	−	3115.83i	−0.847111	−	0.386576i
$403$	1624.88			0.200847
$404$	21273.8	+	6246.55i	2.61983	+	0.769251i
$405$	247.534	−	1721.64i	0.0303706	−	0.211232i
$406$	−11723.8	−	7534.43i	−1.43311	−	0.921004i
$407$	634.112	+	1388.51i	0.0772279	+	0.169106i
$408$	999.746	−	2189.14i	0.121311	−	0.265634i
$409$	258.122	+	75.7914i	0.0312061	+	0.00916294i	0.297298	−	0.954785i	$-0.403914\pi$
$409$	258.122	+	75.7914i	0.0312061	+	0.00916294i	−0.266092	+	0.963948i	$0.585733\pi$
$410$	−18293.6	−	21112.0i	−2.20356	−	2.54304i
$411$	6399.88	+	1879.17i	0.768084	+	0.225530i
$412$	−1462.79	−	10173.9i	−0.174918	−	1.21658i
$413$	−2147.26	−	4701.83i	−0.255834	−	0.560199i
$414$	−1989.87	+	2296.43i	−0.236224	+	0.272616i
$415$	18025.0	−	20802.0i	2.13208	−	2.46055i
$416$	−1189.31	−	764.320i	−0.140169	−	0.0900815i
$417$	2337.06	−	686.223i	0.274452	−	0.0805863i
$418$	1397.58	+	3060.28i	0.163536	+	0.358094i
$419$	4957.30	−	3185.86i	0.577995	−	0.371455i	−0.218740	−	0.975783i	$-0.570195\pi$
$419$	4957.30	−	3185.86i	0.577995	−	0.371455i	0.796736	+	0.604328i	$0.206558\pi$
$420$	8986.02	+	5774.96i	1.04398	+	0.670927i
$421$	−11325.6	+	3325.49i	−1.31110	+	0.384975i	−0.861275	−	0.508139i	$-0.830333\pi$
$421$	−11325.6	+	3325.49i	−1.31110	+	0.384975i	−0.449830	+	0.893114i	$0.648515\pi$
$422$	1717.22	−	11943.5i	0.198087	−	1.37773i
$423$	1013.18	−	2218.55i	0.116459	−	0.255011i
$424$	−1817.67	−	12642.2i	−0.208193	−	1.44802i
$425$	−1749.20	+	12165.9i	−0.199644	+	1.38855i
$426$	−2385.94	+	1533.35i	−0.271359	+	0.174392i
$427$	568.474	−	656.054i	0.0644271	−	0.0743529i
$428$	10413.0	−	6692.00i	1.17600	−	0.755771i
$429$	107.051	−	234.410i	0.0120477	−	0.0263809i
$430$	2961.75	+	3418.05i	0.332159	+	0.383332i
$431$	3321.25			0.371180			0.185590	−	0.982627i	$-0.440580\pi$
$431$	3321.25			0.371180			0.185590	+	0.982627i	$0.440580\pi$
$432$	64.8745			0.00722518
$433$	−3300.63	−	3809.13i	−0.366323	−	0.422760i	0.542425	−	0.840104i	$-0.317506\pi$
$433$	−3300.63	−	3809.13i	−0.366323	−	0.422760i	−0.908748	+	0.417345i	$0.862961\pi$
$434$	−1800.99	−	12526.2i	−0.199194	−	1.38543i
$435$	−14587.3	+	4283.21i	−1.60783	+	0.472101i
$436$	−7956.50	+	2336.24i	−0.873962	+	0.256618i
$437$	−685.698	−	4769.13i	−0.0750604	−	0.522056i
$438$	−1279.77	−	1476.93i	−0.139611	−	0.161120i
$439$	−7340.77			−0.798077			−0.399039	−	0.916934i	$-0.630656\pi$
$439$	−7340.77			−0.798077			−0.399039	+	0.916934i	$0.630656\pi$
$440$	5336.66			0.578216
$441$	1033.90	+	1193.19i	0.111641	+	0.128840i
$442$	525.427	−	1150.53i	0.0565431	−	0.123812i
$443$	−7069.60	+	4543.36i	−0.758210	+	0.487272i	−0.861737	−	0.507355i	$-0.830623\pi$
$443$	−7069.60	+	4543.36i	−0.758210	+	0.487272i	0.103528	+	0.994627i	$0.466987\pi$
$444$	3390.56	−	3912.91i	0.362407	−	0.418240i
$445$	−20372.4	+	13092.5i	−2.17021	+	1.39471i
$446$	−1361.63	+	9470.36i	−0.144563	+	1.00546i
$447$	−449.696	−	3127.71i	−0.0475837	−	0.330952i
$448$	−4470.54	+	9789.11i	−0.471458	+	1.03235i
$449$	1578.95	−	10981.8i	0.165958	−	1.15427i	−0.721175	−	0.692753i	$-0.756398\pi$
$449$	1578.95	−	10981.8i	0.165958	−	1.15427i	0.887134	−	0.461513i	$-0.152693\pi$
$450$	13239.9	−	3887.59i	1.38697	−	0.407251i
$451$	2718.00	+	1746.75i	0.283782	+	0.182375i
$452$	−25204.1	+	16197.7i	−2.62279	+	1.68556i
$453$	−1898.63	−	4157.42i	−0.196921	−	0.431198i
$454$	−2178.80	+	639.754i	−0.225234	+	0.0661347i
$455$	1773.07	+	1139.48i	0.182687	+	0.117406i
$456$	2805.55	−	3237.78i	0.288119	−	0.332507i
$457$	3084.36	−	3559.54i	0.315711	−	0.364350i	−0.575608	−	0.817725i	$-0.695235\pi$
$457$	3084.36	−	3559.54i	0.315711	−	0.364350i	0.891320	+	0.453375i	$0.149780\pi$
$458$	4425.69	+	9690.91i	0.451526	+	0.988704i
$459$	140.516	+	977.313i	0.0142892	+	0.0993836i
$460$	−19532.7	−	5735.32i	−1.97982	−	0.581327i
$461$	−7166.25	−	8270.29i	−0.724003	−	0.835544i	0.267779	−	0.963480i	$-0.413710\pi$
$461$	−7166.25	−	8270.29i	−0.724003	−	0.835544i	−0.991782	+	0.127936i	$0.959165\pi$
$462$	−1925.71	−	565.438i	−0.193922	−	0.0569406i
$463$	2462.27	−	5391.63i	0.247152	−	0.541188i	−0.744876	−	0.667203i	$-0.767491\pi$
$463$	2462.27	−	5391.63i	0.247152	−	0.541188i	0.992028	+	0.126015i	$0.0402186\pi$
$464$	−235.561	−	515.806i	−0.0235682	−	0.0516071i
$465$	−11613.9	−	7463.81i	−1.15824	−	0.744357i
$466$	−3209.18	+	22320.3i	−0.319018	+	2.21882i
$467$	5415.79	+	1590.22i	0.536644	+	0.157573i	0.538814	−	0.842425i	$-0.318873\pi$
$467$	5415.79	+	1590.22i	0.536644	+	0.157573i	−0.00217004	+	0.999998i	$0.500691\pi$
$468$	−874.073			−0.0863334
$469$	−1998.21	+	6812.33i	−0.196735	+	0.670713i
$470$	26545.2			2.60519
$471$	−4647.60	−	1364.66i	−0.454671	−	0.133504i
$472$	−1246.58	+	8670.13i	−0.121564	+	0.845498i
$473$	−440.046	−	282.800i	−0.0427766	−	0.0274908i
$474$	4733.59	+	10365.1i	0.458694	+	1.00440i
$475$	−9089.36	+	19902.9i	−0.877997	+	1.92255i
$476$	−5818.00	−	1708.32i	−0.560226	−	0.164497i
$477$	3431.50	+	3960.16i	0.329387	+	0.380132i
$478$	21799.1	+	6400.80i	2.08592	+	0.612481i
$479$	−2842.02	−	19766.7i	−0.271097	−	1.88552i	−0.437129	−	0.899399i	$-0.644005\pi$
$479$	−2842.02	−	19766.7i	−0.271097	−	1.88552i	0.166033	−	0.986120i	$-0.446904\pi$
$480$	4989.74	+	10926.0i	0.474478	+	1.03896i
$481$	669.005	−	772.073i	0.0634179	−	0.0731882i
$482$	11653.2	−	13448.5i	1.10122	−	1.27088i
$483$	2418.03	+	1553.97i	0.227793	+	0.146394i
$484$	14780.7	−	4340.00i	1.38812	−	0.407588i
$485$	8404.26	+	18402.8i	0.786840	+	1.72294i
$486$	932.520	−	599.294i	0.0870369	−	0.0559352i
$487$	12880.4	+	8277.73i	1.19849	+	0.770225i	0.978695	−	0.205320i	$-0.0658236\pi$
$487$	12880.4	+	8277.73i	1.19849	+	0.770225i	0.219799	+	0.975545i	$0.429460\pi$
$488$	−1411.47	+	414.444i	−0.130931	+	0.0384447i
$489$	−470.842	+	3274.78i	−0.0435423	+	0.302844i
$490$	−7138.32	+	15630.7i	−0.658115	+	1.44107i
$491$	−2424.44	−	16862.3i	−0.222838	−	1.54987i	−0.727229	−	0.686395i	$-0.759192\pi$
$491$	−2424.44	−	16862.3i	−0.222838	−	1.54987i	0.504391	−	0.863475i	$-0.331717\pi$
$492$	1559.59	−	10847.2i	0.142910	−	0.993961i
$493$	7260.23	−	4665.87i	0.663255	−	0.426248i
$494$	1474.49	−	1701.65i	0.134292	−	0.154982i
$495$	−1841.90	+	1183.72i	−0.167247	+	0.107483i
$496$	213.906	−	468.389i	0.0193642	−	0.0424017i
$497$	1756.88	+	2027.54i	0.158565	+	0.182993i
$498$	17541.7			1.57844
$499$	−6176.72			−0.554125			−0.277062	−	0.960852i	$-0.589361\pi$
$499$	−6176.72			−0.554125			−0.277062	+	0.960852i	$0.589361\pi$
$500$	38024.4	+	43882.5i	3.40101	+	3.92497i
$501$	−1519.81	−	10570.5i	−0.135529	−	0.942628i
$502$	−847.156	+	248.747i	−0.0753195	+	0.0221158i
$503$	18047.2	−	5299.12i	1.59977	−	0.469734i	0.644286	−	0.764785i	$-0.277155\pi$
$503$	18047.2	−	5299.12i	1.59977	−	0.469734i	0.955482	+	0.295051i	$0.0953366\pi$
$504$	363.724	+	2529.76i	0.0321459	+	0.223580i
$505$	−24341.1	−	28091.1i	−2.14488	−	2.47532i
$506$	3824.97			0.336049
$507$	6418.53			0.562243
$508$	7834.73	+	9041.76i	0.684272	+	0.789692i
$509$	−5513.20	+	12072.2i	−0.480095	+	1.05126i	0.502342	+	0.864669i	$0.332472\pi$
$509$	−5513.20	+	12072.2i	−0.480095	+	1.05126i	−0.982437	+	0.186593i	$0.940255\pi$
$510$	−9040.38	+	5809.90i	−0.784930	+	0.504444i
$511$	−1210.58	+	1397.08i	−0.104800	+	0.120945i
$512$	−731.619	+	470.183i	−0.0631510	+	0.0405847i
$513$	−250.143	+	1739.79i	−0.0215285	+	0.149734i
$514$	389.636	+	2709.98i	0.0334360	+	0.232552i
$515$	−7158.15	+	15674.2i	−0.612478	+	1.34114i
$516$	−252.499	+	1756.17i	−0.0215419	+	0.149827i
$517$	−2945.77	+	864.955i	−0.250589	+	0.0735796i
$518$	−6693.39	−	4301.58i	−0.567742	−	0.364866i
$519$	−4324.30	+	2779.06i	−0.365734	+	0.235043i
$520$	−1483.71	−	3248.87i	−0.125125	−	0.273985i
$521$	−4110.06	+	1206.82i	−0.345614	+	0.101482i	−0.449933	−	0.893062i	$-0.648552\pi$
$521$	−4110.06	+	1206.82i	−0.345614	+	0.101482i	0.104318	+	0.994544i	$0.466734\pi$
$522$	−8150.89	−	5238.26i	−0.683438	−	0.439219i
$523$	12463.7	−	14383.9i	1.04206	−	1.20261i	0.0632194	−	0.998000i	$-0.479863\pi$
$523$	12463.7	−	14383.9i	1.04206	−	1.20261i	0.978844	−	0.204606i	$-0.0655913\pi$
$524$	−18431.6	+	21271.2i	−1.53662	+	1.77335i
$525$	−5422.33	−	11873.2i	−0.450761	−	0.987030i
$526$	−693.206	−	4821.35i	−0.0574624	−	0.399660i
$527$	7519.43	+	2207.90i	0.621540	+	0.182501i
$528$	−53.4782	−	61.7171i	−0.00440784	−	0.00508692i
$529$	6418.14	+	1884.54i	0.527504	+	0.154889i
$530$	−23691.9	+	51878.0i	−1.94171	+	4.25176i
$531$	−1492.86	−	3268.92i	−0.122005	−	0.267154i
$532$	−9080.74	−	5835.84i	−0.740037	−	0.475593i
$533$	307.729	−	2140.30i	0.0250079	−	0.173934i
$534$	−14808.2	−	4348.08i	−1.20003	−	0.352360i
$535$	−20750.8			−1.67689
$536$	9089.88	−	7880.88i	0.732505	−	0.635079i
$537$	568.389			0.0456756
$538$	14924.9	+	4382.36i	1.19602	+	0.351184i
$539$	282.836	−	1967.17i	0.0226022	−	0.157202i
$540$	6247.46	+	4015.00i	0.497867	+	0.319960i
$541$	−1791.15	−	3922.07i	−0.142343	−	0.311687i	0.825011	−	0.565116i	$-0.191169\pi$
$541$	−1791.15	−	3922.07i	−0.142343	−	0.311687i	−0.967354	+	0.253429i	$0.918442\pi$
$542$	10328.3	−	22615.7i	0.818518	−	1.79231i
$543$	8150.49	+	2393.20i	0.644145	+	0.189138i
$544$	−4465.15	−	5153.06i	−0.351915	−	0.406132i
$545$	13338.6	+	3916.56i	1.04837	+	0.307829i
$546$	191.159	+	1329.54i	0.0149832	+	0.104211i
$547$	6109.14	+	13377.2i	0.477528	+	1.04564i	0.983136	+	0.182878i	$0.0585412\pi$
$547$	6109.14	+	13377.2i	0.477528	+	1.04564i	−0.505607	+	0.862764i	$0.668732\pi$
$548$	−18649.6	+	21522.8i	−1.45378	+	1.67775i
$549$	395.227	−	456.117i	0.0307248	−	0.0354583i
$550$	−14612.5	−	9390.86i	−1.13287	−	0.728050i
$551$	14741.0	−	4328.35i	1.13973	−	0.334654i
$552$	−2023.41	−	4430.65i	−0.156018	−	0.341632i
$553$	9067.67	−	5827.44i	0.697281	−	0.448115i
$554$	−7971.51	−	5122.98i	−0.611330	−	0.392878i
$555$	−8328.20	+	2445.38i	−0.636960	+	0.187028i
$556$	−1480.03	+	10293.8i	−0.112891	+	0.785171i
$557$	4744.63	−	10389.3i	0.360927	−	0.790320i	−0.638853	−	0.769329i	$-0.720591\pi$
$557$	4744.63	−	10389.3i	0.360927	−	0.790320i	0.999780	−	0.0209909i	$-0.00668211\pi$
$558$	−1252.12	−	8708.72i	−0.0949940	−	0.660698i
$559$	−49.8216	+	346.517i	−0.00376964	+	0.0262184i
$560$	561.880	−	361.098i	0.0423996	−	0.0272486i
$561$	813.915	−	939.308i	0.0612541	−	0.0706909i
$562$	−31440.4	+	20205.5i	−2.35985	+	1.51658i
$563$	1959.44	−	4290.58i	0.146680	−	0.321183i	−0.822004	−	0.569482i	$-0.807144\pi$
$563$	1959.44	−	4290.58i	0.146680	−	0.321183i	0.968684	+	0.248298i	$0.0798713\pi$
$564$	6819.36	+	7869.96i	0.509126	+	0.587562i
$565$	50226.3			3.73989
$566$	−28270.9			−2.09949
$567$	−686.657	−	792.445i	−0.0508587	−	0.0586941i
$568$	−647.008	−	4500.04i	−0.0477955	−	0.332425i
$569$	23035.4	−	6763.80i	1.69718	−	0.498336i	0.717104	−	0.696967i	$-0.245467\pi$
$569$	23035.4	−	6763.80i	1.69718	−	0.498336i	0.980075	+	0.198630i	$0.0636492\pi$
$570$	−18355.4	+	5389.63i	−1.34881	+	0.396047i
$571$	1378.36	+	9586.72i	0.101020	+	0.702613i	0.975891	+	0.218257i	$0.0700370\pi$
$571$	1378.36	+	9586.72i	0.101020	+	0.702613i	−0.874871	+	0.484356i	$0.839054\pi$
$572$	720.527	+	831.532i	0.0526691	+	0.0607834i
$573$	−11982.8			−0.873631
$574$	−16840.6			−1.22459
$575$	16290.4	+	18800.1i	1.18149	+	1.36351i
$576$	−3108.11	+	6805.81i	−0.224834	+	0.492318i
$577$	−18977.5	+	12196.1i	−1.36923	+	0.879949i	−0.998803	−	0.0489142i	$-0.984424\pi$
$577$	−18977.5	+	12196.1i	−1.36923	+	0.879949i	−0.370424	+	0.928863i	$0.620788\pi$
$578$	−10681.6	+	12327.2i	−0.768677	+	0.887101i
$579$	−12602.1	+	8098.90i	−0.904537	+	0.581311i
$580$	9237.91	−	64251.1i	0.661351	−	4.59980i
$581$	−2361.47	−	16424.4i	−0.168624	−	1.17280i
$582$	−5356.06	+	11728.1i	−0.381470	+	0.835303i
$583$	938.724	−	6528.97i	0.0666861	−	0.463812i
$584$	3005.75	−	882.566i	0.212977	−	0.0625357i
$585$	1232.71	+	792.217i	0.0871221	+	0.0559900i
$586$	−19516.8	+	12542.7i	−1.37582	+	0.884188i
$587$	−11800.5	−	25839.6i	−0.829745	−	1.81689i	−0.461342	−	0.887223i	$-0.652632\pi$
$587$	−11800.5	−	25839.6i	−0.829745	−	1.81689i	−0.368403	−	0.929666i	$-0.620095\pi$
$588$	−6467.92	+	1899.15i	−0.453627	+	0.133197i
$589$	11736.3	+	7542.48i	0.821031	+	0.527644i
$590$	25613.5	−	29559.6i	1.78728	−	2.06263i
$591$	5810.27	−	6705.41i	0.404404	−	0.466707i
$592$	−134.487	−	294.486i	−0.00933680	−	0.0204447i
$593$	−1305.05	−	9076.83i	−0.0903744	−	0.628568i	−0.983788	−	0.179333i	$-0.942606\pi$
$593$	−1305.05	−	9076.83i	−0.0903744	−	0.628568i	0.893414	−	0.449234i	$-0.148303\pi$
$594$	−1338.83	−	393.117i	−0.0924797	−	0.0271545i
$595$	6656.85	+	7682.41i	0.458662	+	0.529324i
$596$	12945.0	+	3801.00i	0.889679	+	0.261233i
$597$	3774.78	−	8265.61i	0.258780	−	0.566648i
$598$	−1063.43	−	2328.58i	−0.0727202	−	0.159235i
$599$	4594.69	+	2952.83i	0.313412	+	0.201418i	0.687884	−	0.725820i	$-0.258540\pi$
$599$	4594.69	+	2952.83i	0.313412	+	0.201418i	−0.374472	+	0.927238i	$0.622176\pi$
$600$	−3147.90	+	21894.1i	−0.214187	+	1.48971i
$601$	14595.5	+	4285.63i	0.990621	+	0.290873i	0.736602	−	0.676326i	$-0.236429\pi$
$601$	14595.5	+	4285.63i	0.990621	+	0.290873i	0.254019	+	0.967199i	$0.418247\pi$
$602$	2726.50			0.184591
$603$	−1389.24	+	4736.22i	−0.0938213	+	0.319857i
$604$	19514.1			1.31460
$605$	−24778.9	−	7275.74i	−1.66513	−	0.488927i
$606$	3371.22	−	23447.3i	0.225984	−	1.57175i
$607$	14768.6	+	9491.19i	0.987542	+	0.634655i	0.931488	−	0.363773i	$-0.118512\pi$
$607$	14768.6	+	9491.19i	0.987542	+	0.634655i	0.0560545	+	0.998428i	$0.482148\pi$
$608$	−5042.33	−	11041.2i	−0.336338	−	0.736478i
$609$	−3807.33	+	8336.88i	−0.253334	+	0.554725i
$610$	6302.64	+	1850.62i	0.418339	+	0.122835i
$611$	1345.56	+	1552.86i	0.0890923	+	0.102818i
$612$	−4044.92	−	1187.70i	−0.267167	−	0.0784474i
$613$	2860.42	+	19894.6i	0.188469	+	1.31083i	0.835975	+	0.548767i	$0.184903\pi$
$613$	2860.42	+	19894.6i	0.188469	+	1.31083i	−0.647507	+	0.762060i	$0.724188\pi$
$614$	5800.95	+	12702.3i	0.381282	+	0.834891i
$615$	−12030.9	+	13884.4i	−0.788831	+	0.910360i
$616$	2106.80	−	2431.38i	0.137801	−	0.159031i
$617$	−18288.6	−	11753.4i	−1.19331	−	0.766894i	−0.215524	−	0.976499i	$-0.569146\pi$
$617$	−18288.6	−	11753.4i	−1.19331	−	0.766894i	−0.977786	+	0.209605i	$0.932782\pi$
$618$	−10536.7	+	3093.87i	−0.685841	+	0.201381i
$619$	−4027.52	−	8819.04i	−0.261518	−	0.572645i	0.732635	−	0.680621i	$-0.238290\pi$
$619$	−4027.52	−	8819.04i	−0.261518	−	0.572645i	−0.994153	+	0.107977i	$0.965563\pi$
$620$	49587.3	−	31867.8i	3.21205	−	2.06426i
$621$	1681.12	+	1080.39i	0.108633	+	0.0698140i
$622$	11648.1	−	3420.20i	0.750880	−	0.220478i
$623$	−2077.64	+	14450.3i	−0.133610	+	0.929278i
$624$	−22.7042	+	49.7153i	−0.00145656	+	0.00318943i
$625$	−7874.12	−	54765.7i	−0.503944	−	3.50501i
$626$	−1883.38	+	13099.2i	−0.120248	+	0.836341i
$627$	1861.31	−	1196.19i	0.118554	−	0.0761903i
$628$	13543.4	−	15629.9i	0.860574	−	0.993155i
$629$	4145.03	−	2663.85i	0.262756	−	0.168863i
$630$	4740.85	−	10381.0i	0.299809	−	0.656491i
$631$	9087.14	+	10487.1i	0.573302	+	0.661626i	0.966151	−	0.257977i	$-0.0830560\pi$
$631$	9087.14	+	10487.1i	0.573302	+	0.661626i	−0.392849	+	0.919603i	$0.628511\pi$
$632$	−18265.7			−1.14964
$633$	−7935.46			−0.498272
$634$	25692.6	+	29650.9i	1.60944	+	1.85739i
$635$	−2854.39	−	19852.7i	−0.178383	−	1.24068i
$636$	−21466.8	+	6303.23i	−1.33839	+	0.392986i
$637$	−1276.21	+	374.730i	−0.0793805	+	0.0233082i
$638$	1735.73	+	12072.2i	0.107709	+	0.749130i
$639$	1221.45	+	1409.63i	0.0756182	+	0.0872680i
$640$	−49401.7			−3.05121
$641$	−3050.43			−0.187964			−0.0939820	−	0.995574i	$-0.529960\pi$
$641$	−3050.43			−0.187964			−0.0939820	+	0.995574i	$0.529960\pi$
$642$	−8660.23	−	9994.43i	−0.532386	−	0.614406i
$643$	1551.36	−	3397.00i	0.0951472	−	0.208343i	−0.856074	−	0.516854i	$-0.827103\pi$
$643$	1551.36	−	3397.00i	0.0951472	−	0.208343i	0.951221	+	0.308510i	$0.0998304\pi$
$644$	−10324.1	+	6634.91i	−0.631720	+	0.405982i
$645$	1947.80	−	2247.89i	0.118907	−	0.137225i
$646$	9135.67	−	5871.14i	0.556405	−	0.357580i
$647$	−2298.20	+	15984.3i	−0.139647	+	0.971266i	0.792677	+	0.609642i	$0.208687\pi$
$647$	−2298.20	+	15984.3i	−0.139647	+	0.971266i	−0.932324	+	0.361624i	$0.882222\pi$
$648$	252.877	+	1758.79i	0.0153301	+	0.106623i
$649$	−1879.20	+	4114.88i	−0.113660	+	0.248880i
$650$	−1654.41	+	11506.7i	−0.0998329	+	0.694353i
$651$	−7985.45	+	2344.74i	−0.480759	+	0.141164i
$652$	−11883.5	−	7637.04i	−0.713792	−	0.458726i
$653$	275.345	−	176.953i	0.0165009	−	0.0106045i	−0.532364	−	0.846515i	$-0.678696\pi$
$653$	275.345	−	176.953i	0.0165009	−	0.0106045i	0.548865	+	0.835911i	$0.315060\pi$
$654$	3680.41	+	8058.97i	0.220054	+	0.481851i
$655$	45273.5	−	13293.5i	2.70073	−	0.793007i
$656$	−576.453	−	370.464i	−0.0343090	−	0.0220490i
$657$	−841.644	+	971.309i	−0.0499782	+	0.0576779i
$658$	10479.5	−	12094.0i	0.620871	−	0.716524i
$659$	2709.16	+	5932.24i	0.160143	+	0.350664i	0.972646	−	0.232293i	$-0.0746229\pi$
$659$	2709.16	+	5932.24i	0.160143	+	0.350664i	−0.812503	+	0.582957i	$0.801896\pi$
$660$	−1330.39	−	9253.10i	−0.0784629	−	0.545722i
$661$	−15690.3	−	4607.08i	−0.923269	−	0.271096i	−0.214653	−	0.976690i	$-0.568862\pi$
$661$	−15690.3	−	4607.08i	−0.923269	−	0.271096i	−0.708616	+	0.705594i	$0.750680\pi$
$662$	−2224.17	−	2566.83i	−0.130581	−	0.150699i
$663$	−798.121	−	234.349i	−0.0467518	−	0.0137276i
$664$	−11681.1	+	25577.9i	−0.682700	+	1.49490i
$665$	7517.33	+	16460.7i	0.438360	+	0.959875i
$666$	−4653.53	−	2990.64i	−0.270752	−	0.174001i
$667$	2485.81	−	17289.2i	0.144304	−	1.00366i
$668$	43749.5	+	12846.0i	2.53401	+	0.744053i
$669$	6292.25			0.363636
$670$	−53171.2	+	7660.06i	−3.06595	+	0.441692i
$671$	−759.716			−0.0437087
$672$	6947.73	+	2040.04i	0.398831	+	0.117107i
$673$	1846.38	−	12841.8i	0.105754	−	0.735537i	−0.866086	−	0.499896i	$-0.833372\pi$
$673$	1846.38	−	12841.8i	0.105754	−	0.735537i	0.971840	−	0.235642i	$-0.0757192\pi$
$674$	−28617.5	−	18391.3i	−1.63547	−	1.05105i
$675$	−3769.83	−	8254.78i	−0.214964	−	0.470706i
$676$	−11384.4	+	24928.3i	−0.647723	+	1.41832i
$677$	−28501.4	−	8368.77i	−1.61802	−	0.475093i	−0.657533	−	0.753426i	$-0.728400\pi$
$677$	−28501.4	−	8368.77i	−1.61802	−	0.475093i	−0.960485	+	0.278333i	$0.910218\pi$
$678$	20961.7	+	24191.1i	1.18736	+	1.37028i
$679$	11702.1	+	3436.05i	0.661394	+	0.194203i
$680$	−2451.53	−	17050.8i	−0.138253	−	0.961568i
$681$	620.376	+	1358.43i	0.0349087	+	0.0764394i
$682$	−7252.70	+	8370.06i	−0.407214	+	0.469950i
$683$	−18333.5	+	21158.0i	−1.02711	+	1.18534i	−0.0446194	+	0.999004i	$0.514208\pi$
$683$	−18333.5	+	21158.0i	−1.02711	+	1.18534i	−0.982486	+	0.186338i	$0.940338\pi$
$684$	−6313.32	−	4057.32i	−0.352918	−	0.226806i
$685$	45809.0	−	13450.7i	2.55514	−	0.750257i
$686$	12717.4	+	27847.2i	0.707802	+	1.54987i
$687$	5894.16	−	3787.95i	0.327331	−	0.210363i
$688$	93.3281	+	59.9783i	0.00517166	+	0.00332362i
$689$	−4235.71	+	1243.72i	−0.234206	+	0.0687690i
$690$	−3095.31	+	21528.3i	−0.170777	+	1.18778i
$691$	−2344.86	+	5134.52i	−0.129092	+	0.282672i	−0.963131	−	0.269034i	$-0.913296\pi$
$691$	−2344.86	+	5134.52i	−0.129092	+	0.282672i	0.834039	+	0.551706i	$0.186023\pi$
$692$	−3123.43	−	21723.9i	−0.171582	−	1.19338i
$693$	−187.843	+	1306.48i	−0.0102966	+	0.0716146i
$694$	−36679.4	+	23572.4i	−2.00624	+	1.28933i
$695$	11417.1	−	13176.0i	0.623130	−	0.719131i
$696$	13065.7	−	8396.80i	0.711571	−	0.457299i
$697$	4332.33	−	9486.48i	0.235436	−	0.515532i
$698$	−5193.67	−	5993.82i	−0.281638	−	0.325028i
$699$	14830.0			0.802462
$700$	55730.8			3.00918
$701$	8763.53	+	10113.7i	0.472174	+	0.544918i	0.941015	−	0.338365i	$-0.109874\pi$
$701$	8763.53	+	10113.7i	0.472174	+	0.544918i	−0.468841	+	0.883283i	$0.655328\pi$
$702$	132.902	+	924.353i	0.00714539	+	0.0496972i
$703$	8415.99	−	2471.16i	0.451515	−	0.132577i
$704$	9036.68	−	2653.41i	0.483782	−	0.142051i
$705$	−2484.46	−	17279.8i	−0.132724	−	0.923114i
$706$	9551.22	+	11022.7i	0.509157	+	0.587598i
$707$	−22407.7			−1.19198
$708$	15343.7			0.814479
$709$	16897.4	+	19500.6i	0.895057	+	1.03295i	0.999263	+	0.0383949i	$0.0122245\pi$
$709$	16897.4	+	19500.6i	0.895057	+	1.03295i	−0.104206	+	0.994556i	$0.533230\pi$
$710$	−8433.22	+	18466.2i	−0.445765	+	0.976089i
$711$	6304.23	−	4051.48i	0.332527	−	0.213702i
$712$	16200.8	−	18696.7i	0.852741	−	0.984115i
$713$	13343.3	−	8575.24i	0.700858	−	0.450414i
$714$	−921.967	+	6412.42i	−0.0483246	+	0.336105i
$715$	−262.506	−	1825.77i	−0.0137303	−	0.0954963i
$716$	−1008.14	+	2207.51i	−0.0526199	+	0.115221i
$717$	2126.40	−	14789.4i	0.110756	−	0.770322i
$718$	20969.8	−	6157.27i	1.08995	−	0.320038i
$719$	−2357.40	−	1515.01i	−0.122276	−	0.0785818i	0.478073	−	0.878320i	$-0.341335\pi$
$719$	−2357.40	−	1515.01i	−0.122276	−	0.0785818i	−0.600349	+	0.799738i	$0.704972\pi$
$720$	390.643	−	251.051i	0.0202200	−	0.0129946i
$721$	4315.26	+	9449.10i	0.222897	+	0.488076i
$722$	−11472.3	+	3368.57i	−0.591350	+	0.173636i
$723$	−9845.10	−	6327.06i	−0.506422	−	0.325458i
$724$	−23751.0	+	27410.1i	−1.21920	+	1.40703i
$725$	−51944.0	+	59946.6i	−2.66090	+	3.07084i
$726$	−6837.04	−	14971.0i	−0.349513	−	0.765326i
$727$	2647.27	+	18412.2i	0.135051	+	0.939299i	0.938832	+	0.344374i	$0.111909\pi$
$727$	2647.27	+	18412.2i	0.135051	+	0.939299i	−0.803782	+	0.594924i	$0.797182\pi$
$728$	−2065.92	−	606.609i	−0.105176	−	0.0308825i
$729$	−477.393	−	550.941i	−0.0242541	−	0.0279907i
$730$	−13421.6	−	3940.93i	−0.680487	−	0.199809i
$731$	−701.407	+	1535.87i	−0.0354890	+	0.0777101i
$732$	1070.46	+	2343.99i	0.0540512	+	0.118356i
$733$	14648.9	+	9414.28i	0.738157	+	0.474385i	0.854910	−	0.518776i	$-0.173612\pi$
$733$	14648.9	+	9414.28i	0.738157	+	0.474385i	−0.116753	+	0.993161i	$0.537248\pi$
$734$	−4094.47	+	28477.7i	−0.205899	+	1.43206i
$735$	10843.1	+	3183.81i	0.544153	+	0.159778i
$736$	−13800.1			−0.691138
$737$	5650.91	−	2582.59i	0.282434	−	0.129079i
$738$	−11708.3			−0.583995
$739$	−10449.3	−	3068.19i	−0.520141	−	0.152727i	0.0111155	−	0.999938i	$-0.496462\pi$
$739$	−10449.3	−	3068.19i	−0.520141	−	0.152727i	−0.531256	+	0.847211i	$0.678280\pi$
$740$	5274.14	−	36682.4i	0.262001	−	1.82226i
$741$	−1245.71	−	800.567i	−0.0617573	−	0.0396890i
$742$	14282.5	+	31274.4i	0.706642	+	1.54733i
$743$	574.439	−	1257.85i	0.0283635	−	0.0621075i	−0.894920	−	0.446227i	$-0.852768\pi$
$743$	574.439	−	1257.85i	0.0283635	−	0.0621075i	0.923284	+	0.384119i	$0.125495\pi$
$744$	13532.1	+	3973.39i	0.666818	+	0.195795i
$745$	−14811.4	−	17093.3i	−0.728388	−	0.840605i
$746$	−31282.2	−	9185.29i	−1.53529	−	0.450801i
$747$	−1641.80	−	11418.9i	−0.0804153	−	0.559300i
$748$	2204.47	+	4827.11i	0.107759	+	0.235958i
$749$	−8191.99	+	9454.06i	−0.399638	+	0.461207i
$750$	40625.2	−	46884.0i	1.97790	−	2.28261i
$751$	−28104.0	−	18061.3i	−1.36555	−	0.877587i	−0.366939	−	0.930245i	$-0.619594\pi$
$751$	−28104.0	−	18061.3i	−1.36555	−	0.877587i	−0.998613	+	0.0526578i	$0.983231\pi$
$752$	624.759	−	183.446i	0.0302961	−	0.00889572i
$753$	241.213	+	528.182i	0.0116737	+	0.0255618i
$754$	6866.81	−	4413.03i	0.331664	−	0.213147i
$755$	−27521.0	−	17686.7i	−1.32661	−	0.852561i
$756$	4295.61	−	1261.30i	0.206653	−	0.0606788i
$757$	−1072.91	+	7462.25i	−0.0515133	+	0.358283i	0.947719	+	0.319106i	$0.103383\pi$
$757$	−1072.91	+	7462.25i	−0.0515133	+	0.358283i	−0.999232	+	0.0391767i	$0.987526\pi$
$758$	−16477.4	+	36080.4i	−0.789558	+	1.72889i
$759$	−357.993	−	2489.90i	−0.0171203	−	0.119074i
$760$	4364.14	−	30353.3i	0.208295	−	1.44872i
$761$	5619.71	−	3611.57i	0.267693	−	0.172036i	−0.399908	−	0.916555i	$-0.630958\pi$
$761$	5619.71	−	3611.57i	0.267693	−	0.172036i	0.667601	+	0.744520i	$0.267321\pi$
$762$	8370.62	−	9660.21i	0.397947	−	0.459255i
$763$	7050.18	−	4530.88i	0.334513	−	0.214979i
$764$	21253.7	−	46539.0i	1.00645	−	2.20383i
$765$	4628.12	+	5341.14i	0.218732	+	0.252430i
$766$	−13625.5			−0.642702
$767$	3027.53			0.142526
$768$	−7551.88	−	8715.33i	−0.354824	−	0.409489i
$769$	505.511	+	3515.91i	0.0237051	+	0.164872i	0.998235	−	0.0593842i	$-0.0189137\pi$
$769$	505.511	+	3515.91i	0.0237051	+	0.164872i	−0.974530	+	0.224257i	$0.928005\pi$
$770$	−13783.8	+	4047.29i	−0.645108	+	0.189421i
$771$	1727.61	−	507.273i	0.0806984	−	0.0236952i
$772$	−9102.47	−	63309.1i	−0.424359	−	2.95148i
$773$	−24925.4	−	28765.4i	−1.15977	−	1.33845i	−0.931023	−	0.364961i	$-0.881082\pi$
$773$	−24925.4	−	28765.4i	−1.15977	−	1.33845i	−0.228748	−	0.973486i	$-0.573463\pi$
$774$	1895.58			0.0880300
$775$	−72028.8			−3.33852
$776$	−13534.4	−	15619.5i	−0.626104	−	0.722562i
$777$	−2173.69	+	4759.72i	−0.100361	+	0.219760i
$778$	−27289.1	+	17537.7i	−1.25753	+	0.808169i
$779$	12157.7	−	14030.7i	0.559170	−	0.645317i
$780$	−5263.25	+	3382.48i	−0.241608	+	0.155272i
$781$	334.143	−	2324.01i	0.0153093	−	0.106479i
$782$	−1757.10	−	12220.9i	−0.0803499	−	0.558846i
$783$	−2647.02	+	5796.16i	−0.120813	+	0.264544i
$784$	−59.9859	+	417.211i	−0.00273259	+	0.0190056i
$785$	−33266.6	+	9767.95i	−1.51253	+	0.444118i
$786$	25297.3	+	16257.6i	1.14800	+	0.737773i
$787$	5227.46	−	3359.49i	0.236771	−	0.152164i	−0.416875	−	0.908964i	$-0.636875\pi$
$787$	5227.46	−	3359.49i	0.236771	−	0.152164i	0.653646	+	0.756800i	$0.273238\pi$
$788$	15737.0	+	34459.2i	0.711430	+	1.55781i
$789$	−3073.62	+	902.497i	−0.138687	+	0.0407221i
$790$	68614.3	+	44095.7i	3.09011	+	1.98589i
$791$	19828.3	−	22883.1i	0.891295	−	1.02861i
$792$	1464.74	−	1690.40i	0.0657162	−	0.0758406i
$793$	211.218	+	462.502i	0.00945846	+	0.0207111i
$794$	−2030.22	−	14120.5i	−0.0907430	−	0.631131i
$795$	35987.8	+	10567.0i	1.60548	+	0.471411i
$796$	25406.8	+	29321.0i	1.13131	+	1.30560i
$797$	20427.8	+	5998.15i	0.907892	+	0.266581i	0.702153	−	0.712026i	$-0.252222\pi$
$797$	20427.8	+	5998.15i	0.907892	+	0.266581i	0.205739	+	0.978607i	$0.434040\pi$
$798$	−4790.82	+	10490.4i	−0.212523	+	0.465360i
$799$	4116.76	+	9014.46i	0.182279	+	0.399135i
$800$	52720.2	+	33881.2i	2.32993	+	1.49735i
$801$	−1444.47	+	10046.5i	−0.0637175	+	0.443165i
$802$	−37238.5	−	10934.2i	−1.63957	−	0.481422i
$803$	1617.83			0.0710984
$804$	−15930.5	−	13796.1i	−0.698788	−	0.605161i
$805$	20573.8			0.900782
$806$	7111.96	+	2088.26i	0.310804	+	0.0912603i
$807$	1455.85	−	10125.7i	0.0635049	−	0.441686i
$808$	31944.1	+	20529.2i	1.39083	+	0.893831i
$809$	−343.068	−	751.213i	−0.0149093	−	0.0326468i	0.902031	−	0.431672i	$-0.142076\pi$
$809$	−343.068	−	751.213i	−0.0149093	−	0.0326468i	−0.916940	+	0.399025i	$0.869349\pi$
$810$	3296.04	−	7217.32i	0.142977	−	0.313075i
$811$	23863.6	+	7007.00i	1.03325	+	0.303390i	0.754032	−	0.656838i	$-0.228106\pi$
$811$	23863.6	+	7007.00i	1.03325	+	0.303390i	0.279218	+	0.960228i	$0.409925\pi$
$812$	−25625.9	−	29573.8i	−1.10750	−	1.27813i
$813$	−15688.6	−	4606.58i	−0.676780	−	0.198721i
$814$	990.966	+	6892.32i	0.0426700	+	0.296776i
$815$	9837.53	+	21541.2i	0.422814	+	0.925834i
$816$	−172.621	+	199.215i	−0.00740557	+	0.00854648i
$817$	−1968.34	+	2271.58i	−0.0842881	+	0.0972736i
$818$	1032.37	+	663.463i	0.0441270	+	0.0283587i
$819$	847.584	−	248.873i	0.0361624	−	0.0106182i
$820$	−32585.3	−	71351.8i	−1.38772	−	3.03868i
$821$	10054.8	−	6461.83i	0.427424	−	0.274689i	−0.309192	−	0.950999i	$-0.600059\pi$
$821$	10054.8	−	6461.83i	0.427424	−	0.274689i	0.736616	+	0.676311i	$0.236422\pi$
$822$	25596.6	+	16449.9i	1.08611	+	0.698001i
$823$	12268.5	−	3602.35i	0.519625	−	0.152576i	−0.0113946	−	0.999935i	$-0.503627\pi$
$823$	12268.5	−	3602.35i	0.519625	−	0.152576i	0.531020	+	0.847359i	$0.321809\pi$
$824$	2505.20	−	17424.0i	0.105913	−	0.736644i
$825$	−4745.43	+	10391.0i	−0.200260	+	0.438508i
$826$	−3355.65	−	23339.1i	−0.141354	−	0.983135i
$827$	5250.64	−	36519.0i	0.220777	−	1.53554i	−0.514334	−	0.857590i	$-0.671961\pi$
$827$	5250.64	−	36519.0i	0.220777	−	1.53554i	0.735111	−	0.677947i	$-0.237130\pi$
$828$	−7177.77	+	4612.87i	−0.301262	+	0.193609i
$829$	−18806.2	+	21703.5i	−0.787897	+	0.909281i	−0.997653	−	0.0684725i	$-0.978187\pi$
$829$	−18806.2	+	21703.5i	−0.787897	+	0.909281i	0.209756	+	0.977754i	$0.432733\pi$
$830$	105628.	−	67882.9i	4.41735	−	2.83886i
$831$	−2588.76	+	5668.60i	−0.108066	+	0.236632i
$832$	−4127.75	−	4763.67i	−0.172000	−	0.198498i
$833$	−6415.08			−0.266830
$834$	11111.0			0.461322
$835$	−50057.4	−	57769.3i	−2.07462	−	2.39424i
$836$	1344.42	+	9350.63i	0.0556192	+	0.386840i
$837$	−5551.82	+	1630.16i	−0.229270	+	0.0673198i
$838$	25792.0	−	7573.21i	1.06321	−	0.312187i
$839$	4958.43	+	34486.7i	0.204033	+	1.41908i	0.792159	+	0.610315i	$0.208957\pi$
$839$	4958.43	+	34486.7i	0.204033	+	1.41908i	−0.588126	+	0.808770i	$0.700134\pi$
$840$	11979.8	+	13825.4i	0.492075	+	0.567884i
$841$	31306.6			1.28364
$842$	−53844.8			−2.20382
$843$	16095.6	+	18575.3i	0.657605	+	0.758917i
$844$	14074.9	−	30819.8i	0.574027	−	1.25694i
$845$	38649.3	−	24838.4i	1.57346	−	1.01120i
$846$	7285.79	−	8408.26i	0.296088	−	0.341704i
$847$	−13097.0	+	8416.95i	−0.531309	+	0.341452i
$848$	−199.091	+	1384.71i	−0.00806230	+	0.0560745i
$849$	2645.98	+	18403.2i	0.106961	+	0.743928i
$850$	−23291.4	+	51001.1i	−0.939870	+	2.05803i
$851$	1419.21	−	9870.80i	0.0571678	−	0.397610i
$852$	−7641.20	+	2243.66i	−0.307257	+	0.0902189i
$853$	−7937.83	−	5101.33i	−0.318624	−	0.204767i	0.371546	−	0.928415i	$-0.378828\pi$
$853$	−7937.83	−	5101.33i	−0.318624	−	0.204767i	−0.690170	+	0.723648i	$0.742464\pi$
$854$	3331.30	−	2140.90i	0.133483	−	0.0857845i
$855$	5226.37	+	11444.2i	0.209050	+	0.457757i
$856$	20339.9	−	5972.34i	0.812154	−	0.238470i
$857$	12428.7	+	7987.43i	0.495398	+	0.318373i	0.764373	−	0.644774i	$-0.223049\pi$
$857$	12428.7	+	7987.43i	0.495398	+	0.318373i	−0.268975	+	0.963147i	$0.586685\pi$
$858$	769.810	−	888.408i	0.0306304	−	0.0353493i
$859$	−1330.52	+	1535.50i	−0.0528483	+	0.0609901i	−0.781558	−	0.623832i	$-0.785575\pi$
$859$	−1330.52	+	1535.50i	−0.0528483	+	0.0609901i	0.728710	+	0.684822i	$0.240120\pi$
$860$	5275.58	+	11551.9i	0.209181	+	0.458043i
$861$	1576.17	+	10962.5i	0.0623877	+	0.433916i
$862$	14536.8	+	4268.38i	0.574390	+	0.168656i
$863$	−18565.0	−	21425.1i	−0.732282	−	0.845098i	0.260445	−	0.965489i	$-0.416131\pi$
$863$	−18565.0	−	21425.1i	−0.732282	−	0.845098i	−0.992727	+	0.120391i	$0.961585\pi$
$864$	4830.36	+	1418.32i	0.190199	+	0.0558476i
$865$	−15284.5	+	33468.3i	−0.600795	+	1.31556i
$866$	−9551.12	−	20914.0i	−0.374781	−	0.820656i
$867$	9024.23	+	5799.52i	0.353494	+	0.227177i
$868$	5057.07	−	35172.7i	0.197751	−	1.37539i
$869$	−9051.07	−	2657.64i	−0.353322	−	0.103745i
$870$	−69351.7			−2.70258
$871$	−3143.31	−	2722.16i	−0.122281	−	0.105898i
$872$	−14201.7			−0.551526
$873$	8135.82	+	2388.89i	0.315413	+	0.0926136i
$874$	3127.93	−	21755.3i	0.121057	−	0.841971i
$875$	−49366.6	−	31726.0i	−1.90731	−	1.22575i
$876$	−2279.57	−	4991.57i	−0.0879219	−	0.192522i
$877$	−9475.82	+	20749.2i	−0.364853	+	0.798916i	0.634803	+	0.772674i	$0.281081\pi$
$877$	−9475.82	+	20749.2i	−0.364853	+	0.798916i	−0.999656	+	0.0262419i	$0.991646\pi$
$878$	−32129.8	−	9434.17i	−1.23500	−	0.362628i
$879$	9991.42	+	11530.7i	0.383393	+	0.442459i
$880$	−560.852	−	164.681i	−0.0214845	−	0.00630840i
$881$	5250.59	+	36518.7i	0.200791	+	1.39653i	0.801944	+	0.597399i	$0.203799\pi$
$881$	5250.59	+	36518.7i	0.200791	+	1.39653i	−0.601153	+	0.799134i	$0.705292\pi$
$882$	2991.84	+	6551.21i	0.114218	+	0.250103i
$883$	1399.50	−	1615.11i	0.0533373	−	0.0615546i	−0.728454	−	0.685095i	$-0.759761\pi$
$883$	1399.50	−	1615.11i	0.0533373	−	0.0615546i	0.781791	+	0.623540i	$0.214306\pi$
$884$	2325.77	−	2684.09i	0.0884889	−	0.102122i
$885$	−21639.3	−	13906.8i	−0.821919	−	0.528215i
$886$	−36781.9	+	10800.2i	−1.39471	+	0.409524i
$887$	−7661.00	−	16775.2i	−0.290001	−	0.635014i	0.707419	−	0.706794i	$-0.249859\pi$
$887$	−7661.00	−	16775.2i	−0.290001	−	0.635014i	−0.997420	+	0.0717801i	$0.977132\pi$
$888$	7459.50	−	4793.93i	0.281897	−	0.181164i
$889$	−10171.7	−	6536.98i	−0.383745	−	0.246618i
$890$	−105994.	+	31122.7i	−3.99206	+	1.17217i
$891$	−130.596	+	908.317i	−0.00491037	+	0.0341524i
$892$	−11160.4	+	24437.9i	−0.418921	+	0.917310i
$893$	2510.65	+	17461.9i	0.0940825	+	0.654358i
$894$	2051.37	−	14267.6i	0.0767429	−	0.533758i
$895$	3422.56	−	2199.55i	0.127825	−	0.0821484i
$896$	−19502.8	+	22507.4i	−0.727168	+	0.839197i
$897$	−1416.28	+	910.185i	−0.0527180	+	0.0338798i
$898$	21024.5	−	46037.2i	0.781288	−	1.71078i
$899$	33119.9	+	38222.5i	1.22871	+	1.41801i
$900$	38746.4			1.43505
$901$	−21291.4			−0.787259
$902$	9651.52	+	11138.5i	0.356276	+	0.411164i
$903$	−255.183	−	1774.84i	−0.00940418	−	0.0654075i
$904$	−49231.9	+	14455.8i	−1.81131	+	0.531850i
$905$	58339.5	−	17130.0i	2.14284	−	0.629195i
$906$	−2967.11	−	20636.7i	−0.108803	−	0.756741i
$907$	4207.65	+	4855.89i	0.154038	+	0.177770i	0.827524	−	0.561431i	$-0.189749\pi$
$907$	4207.65	+	4855.89i	0.154038	+	0.177770i	−0.673485	+	0.739201i	$0.735204\pi$
$908$	−6376.23			−0.233043
$909$	−15578.8			−0.568443
$910$	6296.12	+	7266.10i	0.229356	+	0.264691i
$911$	19193.6	−	42028.1i	0.698037	−	1.52849i	−0.144299	−	0.989534i	$-0.546093\pi$
$911$	19193.6	−	42028.1i	0.698037	−	1.52849i	0.842336	−	0.538953i	$-0.181180\pi$
$912$	−394.761	+	253.697i	−0.0143331	+	0.00921136i
$913$	−9509.80	+	10974.9i	−0.344719	+	0.397827i
$914$	18074.5	−	11615.8i	0.654106	−	0.420368i
$915$	614.791	−	4275.96i	0.0222124	−	0.154491i
$916$	4257.33	+	29610.4i	0.153566	+	1.06807i
$917$	11816.5	−	25874.6i	0.425536	−	0.931793i
$918$	−640.991	+	4458.19i	−0.0230456	+	0.160286i
$919$	6352.31	−	1865.21i	0.228012	−	0.0669504i	−0.165731	−	0.986171i	$-0.552998\pi$
$919$	6352.31	−	1865.21i	0.228012	−	0.0669504i	0.393743	+	0.919221i	$0.371180\pi$
$920$	−29329.7	−	18849.1i	−1.05106	−	0.675473i
$921$	7725.74	−	4965.03i	0.276408	−	0.177637i
$922$	−20737.2	−	45408.1i	−0.740719	−	1.62195i
$923$	−1507.72	+	442.706i	−0.0537672	+	0.0157875i
$924$	−4740.92	−	3046.81i	−0.168793	−	0.108477i
$925$	−29656.0	+	34224.9i	−1.05415	+	1.21655i
$926$	17706.3	−	20434.2i	0.628364	−	0.725171i
$927$	3000.15	+	6569.42i	0.106298	+	0.232759i
$928$	−6262.31	−	43555.4i	−0.221520	−	1.54071i
$929$	−10661.6	−	3130.53i	−0.376530	−	0.110559i	0.0879912	−	0.996121i	$-0.471955\pi$
$929$	−10661.6	−	3130.53i	−0.376530	−	0.110559i	−0.464521	+	0.885562i	$0.653773\pi$
$930$	−41240.6	−	47594.2i	−1.45412	−	1.67815i
$931$	−10957.4	−	3217.37i	−0.385728	−	0.113260i
$932$	−26303.5	+	57596.7i	−0.924465	+	2.02430i
$933$	−3316.60	−	7262.33i	−0.116378	−	0.254832i
$934$	21660.7	+	13920.5i	0.758842	+	0.487678i
$935$	1266.07	−	8805.74i	0.0442835	−	0.307999i
$936$	−1436.32	−	421.741i	−0.0501575	−	0.0147276i
$937$	−6667.67			−0.232469			−0.116234	−	0.993222i	$-0.537082\pi$
$937$	−6667.67			−0.232469			−0.116234	+	0.993222i	$0.537082\pi$
$938$	−17501.0	+	27248.8i	−0.609198	+	0.948514i
$939$	8703.31			0.302473
$940$	71518.0	+	20999.6i	2.48155	+	0.728650i
$941$	815.393	−	5671.18i	0.0282477	−	0.196467i	−0.970811	−	0.239846i	$-0.922903\pi$
$941$	815.393	−	5671.18i	0.0282477	−	0.196467i	0.999059	+	0.0433789i	$0.0138123\pi$
$942$	−18588.3	−	11946.0i	−0.642928	−	0.413185i
$943$	−8768.31	−	19199.9i	−0.302795	−	0.663028i
$944$	398.555	−	872.713i	0.0137414	−	0.0300894i
$945$	−7201.32	−	2114.50i	−0.247893	−	0.0727879i
$946$	−1562.59	−	1803.32i	−0.0537041	−	0.0619779i
$947$	50522.7	+	14834.8i	1.73365	+	0.509046i	0.987620	−	0.156866i	$-0.0501390\pi$
$947$	50522.7	+	14834.8i	1.73365	+	0.509046i	0.746031	+	0.665911i	$0.231957\pi$
$948$	4553.52	+	31670.4i	0.156003	+	1.08503i
$949$	−449.792	−	984.907i	−0.0153855	−	0.0336896i
$950$	−65362.0	+	75431.7i	−2.23223	+	2.57614i
$951$	16896.8	−	19500.0i	0.576148	−	0.664910i
$952$	−8736.14	−	5614.37i	−0.297416	−	0.191138i
$953$	940.734	−	276.224i	0.0319762	−	0.00938907i	−0.265705	−	0.964054i	$-0.585605\pi$
$953$	940.734	−	276.224i	0.0319762	−	0.00938907i	0.297682	+	0.954665i	$0.403787\pi$
$954$	9929.82	+	21743.3i	0.336991	+	0.737908i
$955$	−72154.9	+	46371.1i	−2.44490	+	1.57124i
$956$	53667.6	+	34490.1i	1.81562	+	1.16683i
$957$	7696.08	−	2259.77i	0.259957	−	0.0763303i
$958$	12964.4	−	90169.4i	0.437224	−	3.04096i
$959$	11956.3	−	26180.6i	0.402595	−	0.881561i
$960$	7621.55	+	53009.0i	0.256234	+	1.78214i
$961$	−2296.27	+	15970.9i	−0.0770794	+	0.536099i
$962$	3920.42	−	2519.50i	0.131392	−	0.0844407i
$963$	−5695.42	+	6572.86i	−0.190584	+	0.219946i
$964$	42035.1	−	27014.3i	1.40442	−	0.902564i
$965$	−44542.9	+	97535.4i	−1.48589	+	3.25365i
$966$	8586.35	+	9909.17i	0.285985	+	0.330044i
$967$	−38688.8			−1.28661			−0.643303	−	0.765612i	$-0.722436\pi$
$967$	−38688.8			−1.28661			−0.643303	+	0.765612i	$0.722436\pi$
$968$	26382.3			0.875992
$969$	−4676.91	−	5397.44i	−0.155050	−	0.178938i
$970$	13133.9	+	91347.9i	0.434745	+	3.02372i
$971$	36528.9	−	10725.8i	1.20728	−	0.354489i	0.384647	−	0.923064i	$-0.374323\pi$
$971$	36528.9	−	10725.8i	1.20728	−	0.354489i	0.822632	+	0.568575i	$0.192505\pi$
$972$	2986.49	−	876.912i	0.0985511	−	0.0289372i
$973$	−1495.76	−	10403.3i	−0.0492826	−	0.342768i
$974$	45737.9	+	52784.3i	1.50466	+	1.73647i
$975$	7645.22			0.251121
$976$	161.126			0.00528435
$977$	18165.9	+	20964.6i	0.594861	+	0.686506i	0.970732	−	0.240166i	$-0.0772019\pi$
$977$	18165.9	+	20964.6i	0.594861	+	0.686506i	−0.375871	+	0.926672i	$0.622656\pi$
$978$	−6269.48	+	13728.3i	−0.204986	+	0.448856i
$979$	10748.2	−	6907.48i	0.350884	−	0.225499i
$980$	−31597.4	+	36465.3i	−1.02994	+	1.18861i
$981$	4901.59	−	3150.06i	0.159527	−	0.102522i
$982$	11059.5	−	76920.6i	0.359392	−	2.49963i
$983$	2173.94	+	15120.1i	0.0705370	+	0.490596i	0.994213	+	0.107422i	$0.0342597\pi$
$983$	2173.94	+	15120.1i	0.0705370	+	0.490596i	−0.923676	+	0.383173i	$0.874831\pi$
$984$	7796.56	−	17072.1i	0.252587	−	0.553087i
$985$	9038.09	−	62861.3i	0.292363	−	2.03343i
$986$	37773.8	−	11091.4i	1.22004	−	0.358237i
$987$	−8853.50	−	5689.80i	−0.285522	−	0.183494i
$988$	5318.72	−	3418.14i	0.171266	−	0.110066i
$989$	1419.59	+	3108.48i	0.0456426	+	0.0999433i
$990$	−9583.08	+	2813.85i	−0.307647	+	0.0903333i
$991$	6011.95	+	3863.65i	0.192710	+	0.123847i	0.633438	−	0.773793i	$-0.281643\pi$
$991$	6011.95	+	3863.65i	0.192710	+	0.123847i	−0.440728	+	0.897641i	$0.645280\pi$
$992$	26167.0	−	30198.3i	0.837502	−	0.966528i
$993$	−1462.73	+	1688.08i	−0.0467456	+	0.0539473i
$994$	5083.92	+	11132.2i	0.162226	+	0.355225i
$995$	−9256.32	−	64379.1i	−0.294920	−	2.05121i
$996$	47261.0	+	13877.1i	1.50354	+	0.441478i
$997$	33806.2	+	39014.5i	1.07388	+	1.23932i	0.969581	+	0.244772i	$0.0787133\pi$
$997$	33806.2	+	39014.5i	1.07388	+	1.23932i	0.104295	+	0.994546i	$0.466741\pi$
$998$	−27034.9	−	7938.17i	−0.857490	−	0.251782i
$999$	−1511.24	+	3309.16i	−0.0478614	+	0.104802i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	201.4.i.b.64.16	yes	170
67.22	even	11	inner	201.4.i.b.22.16	✓	170

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
201.4.i.b.22.16	✓	170	67.22	even	11	inner
201.4.i.b.64.16	yes	170	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 201 = 3 \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	201.i (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(4.37690 + 1.28517i) q^{2} +(0.426945 - 2.96946i) q^{3} +(10.7756 + 6.92503i) q^{4} +(-8.92036 - 19.5329i) q^{5} +(5.68497 - 12.4484i) q^{6} +(-12.4208 - 3.64706i) q^{7} +(14.3655 + 16.5787i) q^{8} +(-8.63544 - 2.53559i) q^{9} +O(q^{10})\)	\(q+(4.37690 + 1.28517i) q^{2} +(0.426945 - 2.96946i) q^{3} +(10.7756 + 6.92503i) q^{4} +(-8.92036 - 19.5329i) q^{5} +(5.68497 - 12.4484i) q^{6} +(-12.4208 - 3.64706i) q^{7} +(14.3655 + 16.5787i) q^{8} +(-8.63544 - 2.53559i) q^{9} +(-13.9404 - 96.9576i) q^{10} +(4.70628 + 10.3053i) q^{11} +(25.1642 - 29.0410i) q^{12} +(4.96525 - 5.73021i) q^{13} +(-49.6773 - 31.9257i) q^{14} +(-61.8107 + 18.1492i) q^{15} +(-0.998143 - 2.18563i) q^{16} +(30.7638 - 19.7707i) q^{17} +(-34.5378 - 22.1961i) q^{18} +(62.4622 - 18.3405i) q^{19} +(39.1438 - 272.251i) q^{20} +(-16.1328 + 35.3259i) q^{21} +(7.35480 + 51.1538i) q^{22} +(10.5331 - 73.2595i) q^{23} +(55.3632 - 35.5798i) q^{24} +(-220.103 + 254.012i) q^{25} +(29.0967 - 18.6993i) q^{26} +(-11.2162 + 24.5601i) q^{27} +(-108.585 - 125.313i) q^{28} +235.999 q^{29} -293.864 q^{30} +(140.339 + 161.960i) q^{31} +(-26.5353 - 184.557i) q^{32} +(32.6106 - 9.57534i) q^{33} +(160.059 - 46.9975i) q^{34} +(39.5600 + 275.146i) q^{35} +(-75.4926 - 87.1231i) q^{36} +134.737 q^{37} +296.961 q^{38} +(-14.8958 - 17.1906i) q^{39} +(195.684 - 428.489i) q^{40} +(239.913 - 154.182i) q^{41} +(-116.012 + 133.884i) q^{42} +(-38.8420 + 24.9623i) q^{43} +(-20.6518 + 143.637i) q^{44} +(27.5038 + 191.293i) q^{45} +(140.254 - 307.113i) q^{46} +(-38.5666 + 268.236i) q^{47} +(-6.91629 + 2.03081i) q^{48} +(-147.576 - 94.8413i) q^{49} +(-1289.82 + 828.914i) q^{50} +(-45.5739 - 99.7930i) q^{51} +(93.1852 - 27.3617i) q^{52} +(-489.800 - 314.775i) q^{53} +(-80.6562 + 93.0822i) q^{54} +(159.311 - 183.854i) q^{55} +(-117.967 - 258.312i) q^{56} +(-27.7937 - 193.310i) q^{57} +(1032.95 + 303.300i) q^{58} +(261.484 + 301.768i) q^{59} +(-791.728 - 232.472i) q^{60} +(-27.8572 + 60.9988i) q^{61} +(406.104 + 889.243i) q^{62} +(98.0112 + 62.9879i) q^{63} +(118.310 - 822.864i) q^{64} +(-156.219 - 45.8701i) q^{65} +155.039 q^{66} +(-0.153473 - 548.419i) q^{67} +468.410 q^{68} +(-213.045 - 62.5555i) q^{69} +(-180.460 + 1255.13i) q^{70} +(-174.346 - 112.046i) q^{71} +(-82.0159 - 179.590i) q^{72} +(59.3225 - 129.898i) q^{73} +(589.732 + 173.161i) q^{74} +(660.308 + 762.035i) q^{75} +(800.074 + 234.923i) q^{76} +(-20.8714 - 145.164i) q^{77} +(-43.1043 - 94.3853i) q^{78} +(-545.270 + 629.275i) q^{79} +(-33.7878 + 38.9932i) q^{80} +(68.1415 + 43.7919i) q^{81} +(1248.23 - 366.512i) q^{82} +(532.487 + 1165.98i) q^{83} +(-418.473 + 268.936i) q^{84} +(-660.603 - 424.544i) q^{85} +(-202.088 + 59.3385i) q^{86} +(100.759 - 700.791i) q^{87} +(-103.241 + 226.066i) q^{88} +(-160.496 - 1116.28i) q^{89} +(-125.464 + 872.619i) q^{90} +(-82.5706 + 53.0649i) q^{91} +(620.825 - 716.470i) q^{92} +(540.852 - 347.584i) q^{93} +(-513.532 + 1124.48i) q^{94} +(-915.429 - 1056.46i) q^{95} -559.365 q^{96} -942.143 q^{97} +(-524.038 - 604.772i) q^{98} +(-14.5107 - 100.924i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 170 q + 2 q^{2} + 51 q^{3} - 74 q^{4} - 4 q^{5} + 27 q^{6} + 12 q^{7} - 237 q^{8} - 153 q^{9}+O(q^{10}) \) 170 * q + 2 * q^2 + 51 * q^3 - 74 * q^4 - 4 * q^5 + 27 * q^6 + 12 * q^7 - 237 * q^8 - 153 * q^9	\( 170 q + 2 q^{2} + 51 q^{3} - 74 q^{4} - 4 q^{5} + 27 q^{6} + 12 q^{7} - 237 q^{8} - 153 q^{9} - 103 q^{10} - 144 q^{11} + 57 q^{12} + 124 q^{13} - 46 q^{14} - 54 q^{15} - 186 q^{16} - 30 q^{17} + 18 q^{18} - 80 q^{19} - 252 q^{20} - 36 q^{21} + 85 q^{22} - 802 q^{23} + 18 q^{24} - 613 q^{25} + 240 q^{26} + 459 q^{27} - 1555 q^{28} + 2192 q^{29} - 450 q^{30} - 58 q^{31} + 1859 q^{32} - 426 q^{33} + 302 q^{34} - 36 q^{35} - 171 q^{36} + 3954 q^{37} - 784 q^{38} - 372 q^{39} + 3005 q^{40} - 366 q^{41} + 798 q^{42} + 3050 q^{43} + 1975 q^{44} - 36 q^{45} + 3333 q^{46} + 328 q^{47} + 558 q^{48} - 3167 q^{49} + 2759 q^{50} + 486 q^{51} - 3726 q^{52} - 104 q^{53} - 54 q^{54} + 998 q^{55} + 7120 q^{56} - 255 q^{57} - 1612 q^{58} - 2324 q^{59} + 2835 q^{60} - 1876 q^{61} - 2496 q^{62} + 207 q^{63} + 3083 q^{64} - 7636 q^{65} - 3060 q^{66} - 659 q^{67} - 1178 q^{68} + 30 q^{69} - 2112 q^{70} - 8352 q^{71} - 846 q^{72} - 3925 q^{73} + 2196 q^{74} + 1839 q^{75} + 4532 q^{76} - 2118 q^{77} + 732 q^{78} - 4505 q^{79} - 3364 q^{80} - 1377 q^{81} - 6904 q^{82} + 3272 q^{83} - 2166 q^{84} + 6262 q^{85} - 8196 q^{86} - 174 q^{87} - 11862 q^{88} - 3226 q^{89} - 927 q^{90} - 7534 q^{91} + 10236 q^{92} - 3258 q^{93} + 5012 q^{94} - 1294 q^{95} + 1188 q^{96} - 1674 q^{97} - 9839 q^{98} + 288 q^{99}+O(q^{100}) \) 170 * q + 2 * q^2 + 51 * q^3 - 74 * q^4 - 4 * q^5 + 27 * q^6 + 12 * q^7 - 237 * q^8 - 153 * q^9 - 103 * q^10 - 144 * q^11 + 57 * q^12 + 124 * q^13 - 46 * q^14 - 54 * q^15 - 186 * q^16 - 30 * q^17 + 18 * q^18 - 80 * q^19 - 252 * q^20 - 36 * q^21 + 85 * q^22 - 802 * q^23 + 18 * q^24 - 613 * q^25 + 240 * q^26 + 459 * q^27 - 1555 * q^28 + 2192 * q^29 - 450 * q^30 - 58 * q^31 + 1859 * q^32 - 426 * q^33 + 302 * q^34 - 36 * q^35 - 171 * q^36 + 3954 * q^37 - 784 * q^38 - 372 * q^39 + 3005 * q^40 - 366 * q^41 + 798 * q^42 + 3050 * q^43 + 1975 * q^44 - 36 * q^45 + 3333 * q^46 + 328 * q^47 + 558 * q^48 - 3167 * q^49 + 2759 * q^50 + 486 * q^51 - 3726 * q^52 - 104 * q^53 - 54 * q^54 + 998 * q^55 + 7120 * q^56 - 255 * q^57 - 1612 * q^58 - 2324 * q^59 + 2835 * q^60 - 1876 * q^61 - 2496 * q^62 + 207 * q^63 + 3083 * q^64 - 7636 * q^65 - 3060 * q^66 - 659 * q^67 - 1178 * q^68 + 30 * q^69 - 2112 * q^70 - 8352 * q^71 - 846 * q^72 - 3925 * q^73 + 2196 * q^74 + 1839 * q^75 + 4532 * q^76 - 2118 * q^77 + 732 * q^78 - 4505 * q^79 - 3364 * q^80 - 1377 * q^81 - 6904 * q^82 + 3272 * q^83 - 2166 * q^84 + 6262 * q^85 - 8196 * q^86 - 174 * q^87 - 11862 * q^88 - 3226 * q^89 - 927 * q^90 - 7534 * q^91 + 10236 * q^92 - 3258 * q^93 + 5012 * q^94 - 1294 * q^95 + 1188 * q^96 - 1674 * q^97 - 9839 * q^98 + 288 * q^99

Introduction

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