LMFDB - Embedded newform 287.3.y.a.10.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [287,3,Mod(10,287)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(287, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([5, 6]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("287.10");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 287 = 7 \cdot 41 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	287.y (of order $30$, degree $8$, 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:	$7.82018358714$
Analytic rank:	$0$
Dimension:	$432$
Relative dimension:	$54$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			10.4
Character	$\chi$	$=$	287.10
Dual form			287.3.y.a.201.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.372260 + 3.54182i) q^{2} +(2.27091 + 1.31111i) q^{3} +(-8.49333 - 1.80531i) q^{4} +(5.49683 + 4.94937i) q^{5} +(-5.48909 + 7.55509i) q^{6} +(6.95621 - 0.781768i) q^{7} +(5.15378 - 15.8617i) q^{8} +(-1.06198 - 1.83940i) q^{9} +O(q^{10})$	\(q+(-0.372260 + 3.54182i) q^{2} +(2.27091 + 1.31111i) q^{3} +(-8.49333 - 1.80531i) q^{4} +(5.49683 + 4.94937i) q^{5} +(-5.48909 + 7.55509i) q^{6} +(6.95621 - 0.781768i) q^{7} +(5.15378 - 15.8617i) q^{8} +(-1.06198 - 1.83940i) q^{9} +(-19.5760 + 17.6264i) q^{10} +(4.48450 + 4.98054i) q^{11} +(-16.9206 - 15.2354i) q^{12} +(-12.8937 + 17.7466i) q^{13} +(0.179362 + 24.9287i) q^{14} +(5.99365 + 18.4465i) q^{15} +(22.5312 + 10.0315i) q^{16} +(-0.678693 + 0.611098i) q^{17} +(6.91014 - 3.07659i) q^{18} +(-0.160330 + 0.360106i) q^{19} +(-37.7513 - 51.9601i) q^{20} +(16.8219 + 7.34504i) q^{21} +(-19.3096 + 14.0292i) q^{22} +(4.33643 - 41.2584i) q^{23} +(32.5002 - 29.2633i) q^{24} +(3.10570 + 29.5487i) q^{25} +(-58.0556 - 52.2735i) q^{26} -29.1695i q^{27} +(-60.4927 - 5.91832i) q^{28} +(14.4957 + 44.6131i) q^{29} +(-67.5656 + 14.3615i) q^{30} +(1.53697 - 1.38389i) q^{31} +(-10.5614 + 18.2930i) q^{32} +(3.65386 + 17.1901i) q^{33} +(-1.91175 - 2.63130i) q^{34} +(42.1064 + 30.1316i) q^{35} +(5.69902 + 17.5398i) q^{36} +(25.5332 - 28.3574i) q^{37} +(-1.21575 - 0.701912i) q^{38} +(-52.5482 + 23.3960i) q^{39} +(106.835 - 61.6812i) q^{40} +(-17.5923 - 37.0339i) q^{41} +(-32.2769 + 56.8459i) q^{42} +(-19.1999 - 13.9496i) q^{43} +(-29.0969 - 50.3973i) q^{44} +(3.26635 - 15.3670i) q^{45} +(144.516 + 30.7177i) q^{46} +(-33.8767 - 3.56059i) q^{47} +(38.0139 + 52.3217i) q^{48} +(47.7777 - 10.8763i) q^{49} -105.812 q^{50} +(-2.34247 + 0.497907i) q^{51} +(141.548 - 127.451i) q^{52} +(18.4359 + 3.91867i) q^{53} +(103.313 + 10.8586i) q^{54} +49.5727i q^{55} +(23.4506 - 114.366i) q^{56} +(-0.836234 + 0.607560i) q^{57} +(-163.408 + 34.7334i) q^{58} +(1.97979 + 4.44667i) q^{59} +(-17.6042 - 167.493i) q^{60} +(-0.169569 + 0.380857i) q^{61} +(4.32935 + 5.95884i) q^{62} +(-8.82530 - 11.9650i) q^{63} +(18.9539 + 13.7708i) q^{64} +(-158.709 + 33.7347i) q^{65} +(-62.2443 + 6.54214i) q^{66} +(-4.49879 - 0.956247i) q^{67} +(6.86759 - 3.96500i) q^{68} +(63.9420 - 88.0086i) q^{69} +(-122.395 + 137.916i) q^{70} +(41.9448 - 129.093i) q^{71} +(-34.6491 + 7.36490i) q^{72} +(77.3786 + 44.6745i) q^{73} +(90.9320 + 100.990i) q^{74} +(-31.6889 + 71.1744i) q^{75} +(2.01184 - 2.76906i) q^{76} +(35.0888 + 31.1399i) q^{77} +(-63.3027 - 194.826i) q^{78} +(57.2399 + 99.1424i) q^{79} +(74.2005 + 166.657i) q^{80} +(28.6866 - 49.6867i) q^{81} +(137.716 - 48.5225i) q^{82} +65.2181i q^{83} +(-129.614 - 92.7526i) q^{84} -6.75522 q^{85} +(56.5543 - 62.8099i) q^{86} +(-25.5744 + 120.318i) q^{87} +(102.112 - 45.4632i) q^{88} +(-44.6278 + 100.236i) q^{89} +(53.2111 + 17.2893i) q^{90} +(-75.8174 + 133.529i) q^{91} +(-111.315 + 342.593i) q^{92} +(5.30476 - 1.12756i) q^{93} +(25.2219 - 118.660i) q^{94} +(-2.66361 + 1.18591i) q^{95} +(-47.9682 + 27.6945i) q^{96} +(-133.574 + 43.4007i) q^{97} +(20.7361 + 173.269i) q^{98} +(4.39876 - 13.5380i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 432 q - 3 q^{2} - 24 q^{3} + 101 q^{4} - 9 q^{5} - 6 q^{7} - 16 q^{8} + 576 q^{9}+O(q^{10}) $ 432 * q - 3 * q^2 - 24 * q^3 + 101 * q^4 - 9 * q^5 - 6 * q^7 - 16 * q^8 + 576 * q^9	\( 432 q - 3 q^{2} - 24 q^{3} + 101 q^{4} - 9 q^{5} - 6 q^{7} - 16 q^{8} + 576 q^{9} + 72 q^{10} - 11 q^{11} - 33 q^{12} + 182 q^{14} - 54 q^{15} + 197 q^{16} - 63 q^{17} + 48 q^{18} + 63 q^{19} - 26 q^{21} - 52 q^{22} - 24 q^{23} - 510 q^{24} - 253 q^{25} - 159 q^{26} - 65 q^{28} + 152 q^{29} - 131 q^{30} - 45 q^{31} + 94 q^{32} + 36 q^{33} + 84 q^{35} + 474 q^{36} - 46 q^{37} - 6 q^{38} + 74 q^{39} + 258 q^{40} - 220 q^{42} - 88 q^{43} + 128 q^{44} - 156 q^{45} - 82 q^{46} - 309 q^{47} - 338 q^{49} + 704 q^{50} + 66 q^{51} + 291 q^{52} + 68 q^{53} + 483 q^{54} - 182 q^{56} + 114 q^{57} + 159 q^{58} - 207 q^{59} + 430 q^{60} + 423 q^{61} - 172 q^{63} - 896 q^{64} + 204 q^{65} - 1560 q^{66} + 33 q^{67} - 1242 q^{68} + 707 q^{70} - 162 q^{71} - 41 q^{72} - 78 q^{73} - 439 q^{74} - 1452 q^{75} + 164 q^{77} - 222 q^{78} - 138 q^{79} - 27 q^{80} - 928 q^{81} + 165 q^{82} - 543 q^{84} + 156 q^{85} + 609 q^{86} - 588 q^{87} + 394 q^{88} - 1161 q^{89} - 950 q^{91} + 482 q^{92} - 45 q^{93} + 1779 q^{94} - 475 q^{95} + 2412 q^{96} - 1100 q^{98} + 932 q^{99}+O(q^{100}) \) 432 * q - 3 * q^2 - 24 * q^3 + 101 * q^4 - 9 * q^5 - 6 * q^7 - 16 * q^8 + 576 * q^9 + 72 * q^10 - 11 * q^11 - 33 * q^12 + 182 * q^14 - 54 * q^15 + 197 * q^16 - 63 * q^17 + 48 * q^18 + 63 * q^19 - 26 * q^21 - 52 * q^22 - 24 * q^23 - 510 * q^24 - 253 * q^25 - 159 * q^26 - 65 * q^28 + 152 * q^29 - 131 * q^30 - 45 * q^31 + 94 * q^32 + 36 * q^33 + 84 * q^35 + 474 * q^36 - 46 * q^37 - 6 * q^38 + 74 * q^39 + 258 * q^40 - 220 * q^42 - 88 * q^43 + 128 * q^44 - 156 * q^45 - 82 * q^46 - 309 * q^47 - 338 * q^49 + 704 * q^50 + 66 * q^51 + 291 * q^52 + 68 * q^53 + 483 * q^54 - 182 * q^56 + 114 * q^57 + 159 * q^58 - 207 * q^59 + 430 * q^60 + 423 * q^61 - 172 * q^63 - 896 * q^64 + 204 * q^65 - 1560 * q^66 + 33 * q^67 - 1242 * q^68 + 707 * q^70 - 162 * q^71 - 41 * q^72 - 78 * q^73 - 439 * q^74 - 1452 * q^75 + 164 * q^77 - 222 * q^78 - 138 * q^79 - 27 * q^80 - 928 * q^81 + 165 * q^82 - 543 * q^84 + 156 * q^85 + 609 * q^86 - 588 * q^87 + 394 * q^88 - 1161 * q^89 - 950 * q^91 + 482 * q^92 - 45 * q^93 + 1779 * q^94 - 475 * q^95 + 2412 * q^96 - 1100 * q^98 + 932 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/287\mathbb{Z}\right)^\times$.

$n$	$206$	$211$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{5}\right)$

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 $

$2$	−0.372260	+	3.54182i	−0.186130	+	1.77091i	0.359751	+	0.933048i	$0.382861\pi$
$2$	−0.372260	+	3.54182i	−0.186130	+	1.77091i	−0.545882	+	0.837862i	$0.683805\pi$
$3$	2.27091	+	1.31111i	0.756970	+	0.437037i	0.828207	−	0.560422i	$-0.189361\pi$
$3$	2.27091	+	1.31111i	0.756970	+	0.437037i	−0.0712366	+	0.997459i	$0.522695\pi$
$4$	−8.49333	−	1.80531i	−2.12333	−	0.451328i
$5$	5.49683	+	4.94937i	1.09937	+	0.989874i	0.999987	−	0.00517502i	$-0.00164727\pi$
$5$	5.49683	+	4.94937i	1.09937	+	0.989874i	0.0993804	+	0.995050i	$0.468314\pi$
$6$	−5.48909	+	7.55509i	−0.914849	+	1.25918i
$7$	6.95621	−	0.781768i	0.993744	−	0.111681i
$7$	6.95621	−	0.781768i	0.993744	−	0.111681i
$8$	5.15378	−	15.8617i	0.644222	−	1.98271i
$9$	−1.06198	−	1.83940i	−0.117997	−	0.204377i
$10$	−19.5760	+	17.6264i	−1.95760	+	1.76264i
$11$	4.48450	+	4.98054i	0.407682	+	0.452777i	0.911663	−	0.410938i	$-0.134799\pi$
$11$	4.48450	+	4.98054i	0.407682	+	0.452777i	−0.503981	+	0.863715i	$0.668132\pi$
$12$	−16.9206	−	15.2354i	−1.41005	−	1.26962i
$13$	−12.8937	+	17.7466i	−0.991821	+	1.36513i	−0.0616104	+	0.998100i	$0.519624\pi$
$13$	−12.8937	+	17.7466i	−0.991821	+	1.36513i	−0.930211	+	0.367025i	$0.880376\pi$
$14$	0.179362	+	24.9287i	0.0128116	+	1.78062i
$15$	5.99365	+	18.4465i	0.399576	+	1.22977i
$16$	22.5312	+	10.0315i	1.40820	+	0.626971i
$17$	−0.678693	+	0.611098i	−0.0399231	+	0.0359469i	−0.688851	−	0.724903i	$-0.741884\pi$
$17$	−0.678693	+	0.611098i	−0.0399231	+	0.0359469i	0.648928	+	0.760850i	$0.275218\pi$
$18$	6.91014	−	3.07659i	0.383897	−	0.170922i
$19$	−0.160330	+	0.360106i	−0.00843841	+	0.0189530i	−0.917716	−	0.397238i	$-0.869969\pi$
$19$	−0.160330	+	0.360106i	−0.00843841	+	0.0189530i	0.909277	+	0.416191i	$0.136635\pi$
$20$	−37.7513	−	51.9601i	−1.88756	−	2.59801i
$21$	16.8219	+	7.34504i	0.801044	+	0.349764i
$22$	−19.3096	+	14.0292i	−0.877709	+	0.637693i
$23$	4.33643	−	41.2584i	0.188541	−	1.79384i	−0.335386	−	0.942081i	$-0.608867\pi$
$23$	4.33643	−	41.2584i	0.188541	−	1.79384i	0.523927	−	0.851763i	$-0.324467\pi$
$24$	32.5002	−	29.2633i	1.35418	−	1.21931i
$25$	3.10570	+	29.5487i	0.124228	+	1.18195i
$26$	−58.0556	−	52.2735i	−2.23291	−	2.01052i
$27$		−	29.1695i		−	1.08035i
$28$	−60.4927	−	5.91832i	−2.16045	−	0.211368i
$29$	14.4957	+	44.6131i	0.499851	+	1.53838i	0.809258	+	0.587454i	$0.199870\pi$
$29$	14.4957	+	44.6131i	0.499851	+	1.53838i	−0.309407	+	0.950930i	$0.600130\pi$
$30$	−67.5656	+	14.3615i	−2.25219	+	0.478717i
$31$	1.53697	−	1.38389i	0.0495797	−	0.0446417i	−0.643968	−	0.765052i	$-0.722713\pi$
$31$	1.53697	−	1.38389i	0.0495797	−	0.0446417i	0.693548	+	0.720410i	$0.256047\pi$
$32$	−10.5614	+	18.2930i	−0.330045	+	0.571655i
$33$	3.65386	+	17.1901i	0.110723	+	0.520911i
$34$	−1.91175	−	2.63130i	−0.0562279	−	0.0773911i
$35$	42.1064	+	30.1316i	1.20304	+	0.860903i
$36$	5.69902	+	17.5398i	0.158306	+	0.487216i
$37$	25.5332	−	28.3574i	0.690085	−	0.766418i	−0.291680	−	0.956516i	$-0.594214\pi$
$37$	25.5332	−	28.3574i	0.690085	−	0.766418i	0.981765	+	0.190099i	$0.0608808\pi$
$38$	−1.21575	−	0.701912i	−0.0319934	−	0.0184714i
$39$	−52.5482	+	23.3960i	−1.34739	+	0.599897i
$40$	106.835	−	61.6812i	2.67087	−	1.54203i
$41$	−17.5923	−	37.0339i	−0.429080	−	0.903266i
$41$	−17.5923	−	37.0339i	−0.429080	−	0.903266i
$42$	−32.2769	+	56.8459i	−0.768499	+	1.35347i
$43$	−19.1999	−	13.9496i	−0.446510	−	0.324409i	0.341706	−	0.939807i	$-0.388995\pi$
$43$	−19.1999	−	13.9496i	−0.446510	−	0.324409i	−0.788216	+	0.615398i	$0.788995\pi$
$44$	−29.0969	−	50.3973i	−0.661293	−	1.14539i
$45$	3.26635	−	15.3670i	0.0725855	−	0.341488i
$46$	144.516	+	30.7177i	3.14164	+	0.667777i
$47$	−33.8767	−	3.56059i	−0.720781	−	0.0757572i	−0.262967	−	0.964805i	$-0.584701\pi$
$47$	−33.8767	−	3.56059i	−0.720781	−	0.0757572i	−0.457815	+	0.889048i	$0.651368\pi$
$48$	38.0139	+	52.3217i	0.791956	+	1.09003i
$49$	47.7777	−	10.8763i	0.975055	−	0.221965i
$50$	−105.812			−2.11625
$51$	−2.34247	+	0.497907i	−0.0459308	+	0.00976289i
$52$	141.548	−	127.451i	2.72209	−	2.45098i
$53$	18.4359	+	3.91867i	0.347847	+	0.0739371i	0.378522	−	0.925592i	$-0.376432\pi$
$53$	18.4359	+	3.91867i	0.347847	+	0.0739371i	−0.0306752	+	0.999529i	$0.509766\pi$
$54$	103.313	+	10.8586i	1.91320	+	0.201086i
$55$			49.5727i			0.901322i
$56$	23.4506	−	114.366i	0.418760	−	2.04226i
$57$	−0.836234	+	0.607560i	−0.0146708	+	0.0106589i
$58$	−163.408	+	34.7334i	−2.81738	+	0.598852i
$59$	1.97979	+	4.44667i	0.0335557	+	0.0753673i	0.929546	−	0.368707i	$-0.120199\pi$
$59$	1.97979	+	4.44667i	0.0335557	+	0.0753673i	−0.895990	+	0.444074i	$0.853533\pi$
$60$	−17.6042	−	167.493i	−0.293404	−	2.79155i
$61$	−0.169569	+	0.380857i	−0.00277981	+	0.00624356i	−0.914930	−	0.403612i	$-0.867754\pi$
$61$	−0.169569	+	0.380857i	−0.00277981	+	0.00624356i	0.912150	+	0.409856i	$0.134421\pi$
$62$	4.32935	+	5.95884i	0.0698282	+	0.0961103i
$63$	−8.82530	−	11.9650i	−0.140084	−	0.189921i
$64$	18.9539	+	13.7708i	0.296155	+	0.215169i
$65$	−158.709	+	33.7347i	−2.44168	+	0.518995i
$66$	−62.2443	+	6.54214i	−0.943095	+	0.0991233i
$67$	−4.49879	−	0.956247i	−0.0671461	−	0.0142723i	0.174216	−	0.984707i	$-0.444261\pi$
$67$	−4.49879	−	0.956247i	−0.0671461	−	0.0142723i	−0.241362	+	0.970435i	$0.577594\pi$
$68$	6.86759	−	3.96500i	0.100994	−	0.0583089i
$69$	63.9420	−	88.0086i	0.926696	−	1.27549i
$70$	−122.395	+	137.916i	−1.74850	+	1.97024i
$71$	41.9448	−	129.093i	0.590772	−	1.81821i	0.0160349	−	0.999871i	$-0.494896\pi$
$71$	41.9448	−	129.093i	0.590772	−	1.81821i	0.574737	−	0.818338i	$-0.305104\pi$
$72$	−34.6491	+	7.36490i	−0.481238	+	0.102290i
$73$	77.3786	+	44.6745i	1.05998	+	0.611980i	0.925427	−	0.378926i	$-0.123707\pi$
$73$	77.3786	+	44.6745i	1.05998	+	0.611980i	0.134554	+	0.990906i	$0.457040\pi$
$74$	90.9320	+	100.990i	1.22881	+	1.36473i
$75$	−31.6889	+	71.1744i	−0.422519	+	0.948992i
$76$	2.01184	−	2.76906i	0.0264715	−	0.0364350i
$77$	35.0888	+	31.1399i	0.455698	+	0.404414i
$78$	−63.3027	−	194.826i	−0.811573	−	2.49777i
$79$	57.2399	+	99.1424i	0.724556	+	1.25497i	0.959157	+	0.282876i	$0.0912884\pi$
$79$	57.2399	+	99.1424i	0.724556	+	1.25497i	−0.234601	+	0.972092i	$0.575378\pi$
$80$	74.2005	+	166.657i	0.927506	+	2.08321i
$81$	28.6866	−	49.6867i	0.354156	−	0.613416i
$82$	137.716	−	48.5225i	1.67947	−	0.591738i
$83$			65.2181i			0.785760i	0.919590	+	0.392880i	$0.128521\pi$
$83$			65.2181i			0.785760i	−0.919590	+	0.392880i	$0.871479\pi$
$84$	−129.614	−	92.7526i	−1.54302	−	1.10420i
$85$	−6.75522			−0.0794731
$86$	56.5543	−	62.8099i	0.657608	−	0.730348i
$87$	−25.5744	+	120.318i	−0.293958	+	1.38296i
$88$	102.112	−	45.4632i	1.16036	−	0.516627i
$89$	−44.6278	+	100.236i	−0.501436	+	1.12624i	0.468628	+	0.883396i	$0.344748\pi$
$89$	−44.6278	+	100.236i	−0.501436	+	1.12624i	−0.970064	+	0.242849i	$0.921918\pi$
$90$	53.2111	+	17.2893i	0.591234	+	0.192104i
$91$	−75.8174	+	133.529i	−0.833158	+	1.46735i
$92$	−111.315	+	342.593i	−1.20995	+	3.72383i
$93$	5.30476	−	1.12756i	0.0570404	−	0.0121243i
$94$	25.2219	−	118.660i	0.268318	−	1.26234i
$95$	−2.66361	+	1.18591i	−0.0280380	+	0.0124833i
$96$	−47.9682	+	27.6945i	−0.499669	+	0.288484i
$97$	−133.574	+	43.4007i	−1.37705	+	0.447430i	−0.901698	−	0.432366i	$-0.857679\pi$
$97$	−133.574	+	43.4007i	−1.37705	+	0.447430i	−0.475351	+	0.879797i	$0.657679\pi$
$98$	20.7361	+	173.269i	0.211593	+	1.76805i
$99$	4.39876	−	13.5380i	0.0444319	−	0.136747i
$100$	26.9670	−	256.574i	0.269670	−	2.56574i
$101$	−138.076	+	14.5123i	−1.36709	+	0.143686i	−0.759468	−	0.650544i	$-0.774541\pi$
$101$	−138.076	+	14.5123i	−1.36709	+	0.143686i	−0.607617	+	0.794231i	$0.707874\pi$
$102$	−0.891490	−	8.48196i	−0.00874010	−	0.0831565i
$103$	25.4594	−	57.1827i	0.247178	−	0.555172i	−0.746762	−	0.665091i	$-0.768393\pi$
$103$	25.4594	−	57.1827i	0.247178	−	0.555172i	0.993940	+	0.109919i	$0.0350593\pi$
$104$	215.040	+	295.978i	2.06770	+	2.84594i
$105$	56.1140	+	123.632i	0.534419	+	1.17745i
$106$	−20.7422	+	63.8378i	−0.195681	+	0.602244i
$107$	64.3956	+	28.6707i	0.601828	+	0.267951i	0.684952	−	0.728588i	$-0.259823\pi$
$107$	64.3956	+	28.6707i	0.601828	+	0.267951i	−0.0831243	+	0.996539i	$0.526490\pi$
$108$	−52.6600	+	247.746i	−0.487593	+	2.29394i
$109$	3.44765	−	5.97150i	0.0316298	−	0.0547844i	−0.849777	−	0.527142i	$-0.823264\pi$
$109$	3.44765	−	5.97150i	0.0316298	−	0.0547844i	0.881407	+	0.472358i	$0.156597\pi$
$110$	−175.578	−	18.4540i	−1.59616	−	0.167763i
$111$	95.1633	−	30.9204i	0.857327	−	0.278562i
$112$	164.574	+	52.1673i	1.46941	+	0.465780i
$113$	−0.596901	+	1.83707i	−0.00528231	+	0.0162573i	−0.953663	−	0.300877i	$-0.902721\pi$
$113$	−0.596901	+	1.83707i	−0.00528231	+	0.0162573i	0.948381	+	0.317134i	$0.102721\pi$
$114$	−1.84057	−	3.18796i	−0.0161454	−	0.0279646i
$115$	228.040	−	205.328i	1.98296	−	1.78546i
$116$	−42.5760	−	405.083i	−0.367034	−	3.49210i
$117$	46.3358	+	4.87009i	0.396033	+	0.0416247i
$118$	−16.4863	+	5.35673i	−0.139715	+	0.0453960i
$119$	−4.24339	+	4.78151i	−0.0356588	+	0.0401807i
$120$	323.483			2.69570
$121$	7.95288	−	75.6666i	0.0657263	−	0.625344i
$122$	−1.28580	−	0.742360i	−0.0105394	−	0.00608492i
$123$	8.60505	−	107.166i	0.0699597	−	0.871270i
$124$	−15.5523	+	8.97915i	−0.125422	+	0.0724125i
$125$	−20.4840	+	28.1939i	−0.163872	+	0.225551i
$126$	45.6632	−	26.8035i	0.362406	−	0.212727i
$127$	49.9146	+	153.621i	0.393028	+	1.20962i	0.930487	+	0.366326i	$0.119384\pi$
$127$	49.9146	+	153.621i	0.393028	+	1.20962i	−0.537458	+	0.843290i	$0.680616\pi$
$128$	−112.365	+	124.794i	−0.877855	+	0.974957i
$129$	−25.3119	−	56.8515i	−0.196216	−	0.440709i
$130$	−60.4010	−	574.677i	−0.464623	−	4.42059i
$131$	−29.9027	−	140.681i	−0.228265	−	1.07390i	−0.931724	−	0.363166i	$-0.881696\pi$
$131$	−29.9027	−	140.681i	−0.228265	−	1.07390i	0.703459	−	0.710735i	$-0.251638\pi$
$132$		−	152.597i		−	1.15604i
$133$	−0.833767	+	2.63032i	−0.00626893	+	0.0197768i
$134$	5.06158	−	15.5779i	0.0377730	−	0.116253i
$135$	144.371	−	160.340i	1.06941	−	1.18770i
$136$	6.19522	+	13.9147i	0.0455531	+	0.102314i
$137$	−36.1351	+	62.5878i	−0.263760	+	0.456845i	−0.967238	−	0.253872i	$-0.918296\pi$
$137$	−36.1351	+	62.5878i	−0.263760	+	0.456845i	0.703478	+	0.710717i	$0.251629\pi$
$138$	287.908	+	259.233i	2.08629	+	1.87850i
$139$	−40.5275	−	55.7814i	−0.291565	−	0.401305i	0.637957	−	0.770072i	$-0.279780\pi$
$139$	−40.5275	−	55.7814i	−0.291565	−	0.401305i	−0.929522	+	0.368767i	$0.879780\pi$
$140$	−303.226	−	331.933i	−2.16590	−	2.37095i
$141$	−72.2627	−	52.5019i	−0.512501	−	0.372354i
$142$	441.609	+	196.617i	3.10993	+	1.38463i
$143$	−146.210	+	15.3672i	−1.02244	+	0.107463i
$144$	−5.47562	−	52.0970i	−0.0380251	−	0.361785i
$145$	−141.127	+	316.976i	−0.973287	+	2.18604i
$146$	−187.034	+	257.430i	−1.28106	+	1.76322i
$147$	122.759	+	37.9428i	0.835094	+	0.258114i
$148$	−268.056	+	194.754i	−1.81119	+	1.31590i
$149$	110.398	−	122.610i	0.740929	−	0.822885i	−0.248389	−	0.968660i	$-0.579901\pi$
$149$	110.398	−	122.610i	0.740929	−	0.822885i	0.989318	+	0.145776i	$0.0465678\pi$
$150$	−240.291	−	138.732i	−1.60194	−	0.924879i
$151$	163.332	−	72.7202i	1.08167	−	0.481591i	0.213036	−	0.977044i	$-0.431665\pi$
$151$	163.332	−	72.7202i	1.08167	−	0.481591i	0.868634	+	0.495454i	$0.164998\pi$
$152$	4.88559	+	4.39901i	0.0321421	+	0.0289409i
$153$	1.84481	+	0.599414i	0.0120576	+	0.00391774i
$154$	−123.354	+	112.686i	−0.801000	+	0.731727i
$155$	15.2979			0.0986960
$156$	488.546	−	103.844i	3.13171	−	0.665665i
$157$	196.348	−	20.6370i	1.25062	−	0.131446i	0.544030	−	0.839066i	$-0.316898\pi$
$157$	196.348	−	20.6370i	1.25062	−	0.131446i	0.706594	+	0.707620i	$0.250231\pi$
$158$	−372.453	+	165.827i	−2.35730	+	1.04954i
$159$	36.7284	+	33.0704i	0.230997	+	0.207990i
$160$	−148.593	+	48.2809i	−0.928708	+	0.301755i
$161$	−2.08937	−	290.392i	−0.0129775	−	1.80368i
$162$	165.303	+	120.099i	1.02039	+	0.741354i
$163$	−68.4502	−	118.559i	−0.419940	−	0.727357i	0.575993	−	0.817454i	$-0.304615\pi$
$163$	−68.4502	−	118.559i	−0.419940	−	0.727357i	−0.995933	+	0.0900976i	$0.971282\pi$
$164$	82.5593	+	346.301i	0.503411	+	2.11159i
$165$	−64.9953	+	112.575i	−0.393911	+	0.682274i
$166$	−230.991	−	24.2781i	−1.39151	−	0.146254i
$167$			291.204i			1.74374i	0.489740	+	0.871868i	$0.337092\pi$
$167$			291.204i			1.74374i	−0.489740	+	0.871868i	$0.662908\pi$
$168$	203.201	−	228.969i	1.20953	−	1.36291i
$169$	−96.4719	−	296.910i	−0.570840	−	1.75686i
$170$	2.51470	−	23.9258i	0.0147923	−	0.140740i
$171$	0.832644	−	0.0875144i	0.00486926	−	0.000511780i
$172$	137.888	+	153.140i	0.801675	+	0.890350i
$173$	105.322	−	60.8074i	0.608795	−	0.351488i	−0.163699	−	0.986510i	$-0.552342\pi$
$173$	105.322	−	60.8074i	0.608795	−	0.351488i	0.772494	+	0.635022i	$0.219009\pi$
$174$	−416.624	−	135.369i	−2.39439	−	0.777985i
$175$	44.7041	+	203.119i	0.255452	+	1.16068i
$176$	51.0787	+	157.204i	0.290220	+	0.893205i
$177$	−1.33416	+	12.6937i	−0.00753765	+	0.0717159i
$178$	−338.404	−	195.378i	−1.90115	−	1.09763i
$179$	143.454	+	30.4921i	0.801419	+	0.170347i	0.590374	−	0.807130i	$-0.298980\pi$
$179$	143.454	+	30.4921i	0.801419	+	0.170347i	0.211045	+	0.977476i	$0.432313\pi$
$180$	−55.4843	+	124.620i	−0.308246	+	0.692333i
$181$	−256.133	−	83.2227i	−1.41510	−	0.459794i	−0.501058	−	0.865414i	$-0.667056\pi$
$181$	−256.133	−	83.2227i	−1.41510	−	0.459794i	−0.914042	+	0.405620i	$0.867056\pi$
$182$	−444.712	−	318.239i	−2.44347	−	1.74857i
$183$	−0.884421	+	0.642570i	−0.00483290	+	0.00351131i
$184$	−632.079	−	281.420i	−3.43521	−	1.52946i
$185$	280.703	−	29.5031i	1.51731	−	0.159476i
$186$	2.01887	+	19.2083i	0.0108541	+	0.103270i
$187$	−6.08720	−	0.639791i	−0.0325519	−	0.00342134i
$188$	281.298	+	91.3993i	1.49627	+	0.486166i
$189$	−22.8038	−	202.909i	−0.120655	−	1.07359i
$190$	−3.20874	−	9.87549i	−0.0168881	−	0.0519762i
$191$	43.3276	+	75.0457i	0.226846	+	0.392909i	0.956872	−	0.290511i	$-0.0938252\pi$
$191$	43.3276	+	75.0457i	0.226846	+	0.392909i	−0.730025	+	0.683420i	$0.760492\pi$
$192$	24.9875	+	56.1229i	0.130143	+	0.292307i
$193$	−95.4872	−	20.2964i	−0.494752	−	0.105163i	−0.0462232	−	0.998931i	$-0.514719\pi$
$193$	−95.4872	−	20.2964i	−0.494752	−	0.105163i	−0.448529	+	0.893768i	$0.648052\pi$
$194$	−103.993	−	489.251i	−0.536049	−	2.52191i
$195$	−404.644	−	131.477i	−2.07510	−	0.674240i
$196$	−425.427	+	6.12221i	−2.17054	+	0.0312358i
$197$	58.6293	−	180.442i	0.297611	−	0.915952i	−0.684721	−	0.728805i	$-0.740076\pi$
$197$	58.6293	−	180.442i	0.297611	−	0.915952i	0.982332	−	0.187147i	$-0.0599240\pi$
$198$	46.3116	+	20.6193i	0.233897	+	0.104138i
$199$	−54.9259	−	123.366i	−0.276009	−	0.619927i	0.721348	−	0.692572i	$-0.243523\pi$
$199$	−54.9259	−	123.366i	−0.276009	−	0.619927i	−0.997358	+	0.0726449i	$0.976856\pi$
$200$	484.699	+	103.026i	2.42349	+	0.515130i
$201$	−8.96261	−	8.06997i	−0.0445901	−	0.0401491i
$202$		−	494.441i		−	2.44773i
$203$	135.712	+	299.006i	0.668533	+	1.47294i
$204$	20.7942			0.101933
$205$	86.5927	−	290.640i	0.422404	−	1.41776i
$206$	193.053	+	111.459i	0.937152	+	0.541065i
$207$	−80.4957	+	35.8390i	−0.388868	+	0.173135i
$208$	−468.536	+	270.509i	−2.25258	+	1.30053i
$209$	−2.51252	+	0.816369i	−0.0120217	+	0.00390607i
$210$	−458.773	+	152.722i	−2.18463	+	0.727249i
$211$	−42.8020	−	31.0975i	−0.202853	−	0.147381i	0.481721	−	0.876325i	$-0.340012\pi$
$211$	−42.8020	−	31.0975i	−0.202853	−	0.147381i	−0.684574	+	0.728943i	$0.740012\pi$
$212$	−149.508	−	66.5651i	−0.705225	−	0.313986i
$213$	264.508	−	238.164i	1.24182	−	1.11814i
$214$	−125.519	+	217.405i	−0.586535	+	1.01591i
$215$	−36.4973	−	171.706i	−0.169755	−	0.798634i
$216$	−462.677	−	150.333i	−2.14202	−	0.695986i
$217$	9.60960	−	10.8282i	0.0442839	−	0.0498996i
$218$	19.8666	+	14.4339i	0.0911310	+	0.0662105i
$219$	117.147	+	202.904i	0.534916	+	0.926501i
$220$	89.4942	−	421.037i	0.406792	−	1.91381i
$221$	−2.09408	−	19.9238i	−0.00947546	−	0.0901530i
$222$	74.0891	+	348.562i	0.333735	+	1.57010i
$223$	−6.69453	+	9.21423i	−0.0300203	+	0.0413194i	−0.823763	−	0.566934i	$-0.808129\pi$
$223$	−6.69453	+	9.21423i	−0.0300203	+	0.0413194i	0.793743	+	0.608253i	$0.208129\pi$
$224$	−59.1668	+	135.506i	−0.264137	+	0.604939i
$225$	51.0536	−	37.0926i	0.226905	−	0.164856i
$226$	−6.28438	−	2.79799i	−0.0278070	−	0.0123805i
$227$	−34.2520	+	3.60003i	−0.150890	+	0.0158592i	−0.179672	−	0.983727i	$-0.557504\pi$
$227$	−34.2520	+	3.60003i	−0.150890	+	0.0158592i	0.0287824	+	0.999586i	$0.490837\pi$
$228$	8.19924	−	3.65054i	0.0359616	−	0.0160111i
$229$	75.8913	+	357.040i	0.331403	+	1.55913i	0.756508	+	0.653984i	$0.226904\pi$
$229$	75.8913	+	357.040i	0.331403	+	1.55913i	−0.425105	+	0.905144i	$0.639763\pi$
$230$	642.345	+	884.112i	2.79280	+	3.84397i
$231$	38.8556	+	116.721i	0.168206	+	0.505286i
$232$	782.347			3.37219
$233$	29.3616	−	279.357i	0.126015	−	1.19896i	−0.730529	−	0.682882i	$-0.760726\pi$
$233$	29.3616	−	279.357i	0.126015	−	1.19896i	0.856544	−	0.516074i	$-0.172607\pi$
$234$	−34.4980	+	162.300i	−0.147427	+	0.693591i
$235$	−168.592	−	187.240i	−0.717413	−	0.796768i
$236$	−8.78734	−	41.3412i	−0.0372345	−	0.175175i
$237$			300.192i			1.26663i
$238$	−15.3556	−	16.8093i	−0.0645193	−	0.0706273i
$239$	−131.085	+	95.2390i	−0.548474	+	0.398489i	−0.827222	−	0.561875i	$-0.810080\pi$
$239$	−131.085	+	95.2390i	−0.548474	+	0.398489i	0.278749	+	0.960364i	$0.410080\pi$
$240$	−50.0032	+	475.748i	−0.208347	+	1.98229i
$241$	−51.0173	+	240.018i	−0.211690	+	0.995924i	0.736061	+	0.676915i	$0.236683\pi$
$241$	−51.0173	+	240.018i	−0.211690	+	0.995924i	−0.947752	+	0.319009i	$0.896650\pi$
$242$	265.037	+	56.3354i	1.09519	+	0.232791i
$243$	−97.0639	+	56.0399i	−0.399440	+	0.230617i
$244$	2.12777	−	2.92862i	0.00872036	−	0.0120025i
$245$	316.457	+	176.684i	1.29166	+	0.721161i
$246$	376.360	+	70.3713i	1.52992	+	0.286062i
$247$	−4.32343	−	7.48841i	−0.0175038	−	0.0303174i
$248$	−14.0297	−	31.5112i	−0.0565714	−	0.127061i
$249$	−85.5081	+	148.104i	−0.343406	+	0.594797i
$250$	−92.2322	−	83.0462i	−0.368929	−	0.332185i
$251$	183.872	−	59.7436i	0.732557	−	0.238022i	0.0810981	−	0.996706i	$-0.474157\pi$
$251$	183.872	−	59.7436i	0.732557	−	0.238022i	0.651459	+	0.758684i	$0.274157\pi$
$252$	53.3556	+	117.555i	0.211729	+	0.466488i
$253$	224.936	−	163.426i	0.889076	−	0.645951i
$254$	−562.680	+	119.601i	−2.21528	+	0.470872i
$255$	−15.3405	−	8.85684i	−0.0601588	−	0.0347327i
$256$	−337.464	−	374.792i	−1.31822	−	1.46403i
$257$	−42.6493	−	200.649i	−0.165950	−	0.780736i	−0.979851	−	0.199731i	$-0.935993\pi$
$257$	−42.6493	−	200.649i	−0.165950	−	0.780736i	0.813900	−	0.581005i	$-0.197340\pi$
$258$	210.781	−	68.4867i	0.816979	−	0.265452i
$259$	155.445	−	217.221i	0.600174	−	0.838692i
$260$	1408.87			5.41873
$261$	66.6671	−	74.0413i	0.255430	−	0.283683i
$262$	509.399	−	53.5400i	1.94427	−	0.204351i
$263$	−124.129	−	137.859i	−0.471974	−	0.524180i	0.459407	−	0.888226i	$-0.348062\pi$
$263$	−124.129	−	137.859i	−0.471974	−	0.524180i	−0.931381	+	0.364046i	$0.881395\pi$
$264$	291.495	+	30.6373i	1.10415	+	0.116050i
$265$	81.9441	+	112.786i	0.309223	+	0.425609i
$266$	−9.00573	−	3.93222i	−0.0338561	−	0.0147828i
$267$	−232.766	+	169.114i	−0.871783	+	0.633387i
$268$	36.4834	+	16.2434i	0.136132	+	0.0606099i
$269$	−28.0090	−	62.9093i	−0.104123	−	0.233864i	0.853970	−	0.520323i	$-0.174188\pi$
$269$	−28.0090	−	62.9093i	−0.104123	−	0.233864i	−0.958092	+	0.286459i	$0.907522\pi$
$270$	514.151	+	571.023i	1.90426	+	2.11490i
$271$	166.181	−	373.248i	0.613213	−	1.37730i	−0.293667	−	0.955908i	$-0.594876\pi$
$271$	166.181	−	373.248i	0.613213	−	1.37730i	0.906879	−	0.421390i	$-0.138458\pi$
$272$	−21.4220	+	6.96044i	−0.0787575	+	0.0255899i
$273$	−347.246	+	203.828i	−1.27196	+	0.746622i
$274$	−208.223	−	151.283i	−0.759938	−	0.552127i
$275$	−133.241	+	147.979i	−0.484514	+	0.538107i
$276$	−701.964	+	632.051i	−2.54335	+	2.29004i
$277$	−189.307	−	210.247i	−0.683418	−	0.759013i	0.297227	−	0.954807i	$-0.403938\pi$
$277$	−189.307	−	210.247i	−0.683418	−	0.759013i	−0.980645	+	0.195794i	$0.937272\pi$
$278$	212.654	−	122.776i	0.764944	−	0.441641i
$279$	−4.17775	−	1.35743i	−0.0149740	−	0.00486535i
$280$	694.945	−	512.587i	2.48195	−	1.83067i
$281$	−261.737	−	190.163i	−0.931450	−	0.676738i	0.0148974	−	0.999889i	$-0.495258\pi$
$281$	−261.737	−	190.163i	−0.931450	−	0.676738i	−0.946347	+	0.323151i	$0.895258\pi$
$282$	212.853	−	236.397i	0.754798	−	0.838288i
$283$	−33.9031	+	159.501i	−0.119799	+	0.563609i	0.876775	+	0.480901i	$0.159690\pi$
$283$	−33.9031	+	159.501i	−0.119799	+	0.563609i	−0.996574	+	0.0827082i	$0.973643\pi$
$284$	−589.304	+	1020.70i	−2.07501	+	3.59403i
$285$	−7.60368	−	0.799179i	−0.0266796	−	0.00280414i
$286$		−	523.569i		−	1.83066i
$287$	−151.328	−	243.863i	−0.527274	−	0.849695i
$288$	44.8640			0.155778
$289$	−30.1215	+	286.587i	−0.104227	+	0.991652i
$290$	−1070.13	−	617.843i	−3.69012	−	2.13049i
$291$	−360.237	−	76.5708i	−1.23793	−	0.263130i
$292$	−576.550	−	519.128i	−1.97449	−	1.77784i
$293$	−93.8232	+	129.137i	−0.320216	+	0.440739i	−0.938533	−	0.345190i	$-0.887815\pi$
$293$	−93.8232	+	129.137i	−0.320216	+	0.440739i	0.618317	+	0.785928i	$0.287815\pi$
$294$	−180.085	+	420.665i	−0.612533	+	1.43083i
$295$	−11.1257	+	34.2413i	−0.0377142	+	0.116072i
$296$	−318.205	−	551.147i	−1.07502	−	1.86198i
$297$	145.280	−	130.811i	0.489158	−	0.440440i
$298$	393.165	+	436.654i	1.31935	+	1.46528i
$299$	676.285	+	608.930i	2.26182	+	2.03655i
$300$	397.636	−	547.299i	1.32545	−	1.82433i
$301$	−144.464	−	82.0263i	−0.479947	−	0.272513i
$302$	196.760	+	605.564i	0.651522	+	2.00518i
$303$	−332.585	−	148.076i	−1.09764	−	0.488700i
$304$	−7.22484	+	6.50528i	−0.0237659	+	0.0213989i
$305$	−2.81710	+	1.25425i	−0.00923638	+	0.00411230i
$306$	−2.80976	+	6.31084i	−0.00918224	+	0.0206236i
$307$	153.405	+	211.144i	0.499690	+	0.687765i	0.982138	−	0.188160i	$-0.0602523\pi$
$307$	153.405	+	211.144i	0.499690	+	0.687765i	−0.482448	+	0.875925i	$0.660252\pi$
$308$	−241.803	−	327.827i	−0.785075	−	1.06437i
$309$	132.789	−	96.4767i	0.429737	−	0.312222i
$310$	−5.69479	+	54.1823i	−0.0183703	+	0.174782i
$311$	53.5723	−	48.2367i	0.172258	−	0.155102i	−0.578492	−	0.815688i	$-0.696359\pi$
$311$	53.5723	−	48.2367i	0.172258	−	0.155102i	0.750750	+	0.660586i	$0.229692\pi$
$312$	100.278	+	954.081i	0.321404	+	3.05795i
$313$	213.575	+	192.304i	0.682348	+	0.614389i	0.935621	−	0.353006i	$-0.114840\pi$
$313$	213.575	+	192.304i	0.682348	+	0.614389i	−0.253273	+	0.967395i	$0.581507\pi$
$314$			703.112i			2.23921i
$315$	10.7080	−	109.449i	0.0339937	−	0.347458i
$316$	−307.174	−	945.385i	−0.972071	−	2.99173i
$317$	−513.889	+	109.230i	−1.62110	+	0.344576i	−0.926930	−	0.375235i	$-0.877562\pi$
$317$	−513.889	+	109.230i	−1.62110	+	0.344576i	−0.694171	+	0.719810i	$0.744229\pi$
$318$	−130.802	+	117.775i	−0.411327	+	0.370361i
$319$	−157.192	+	272.264i	−0.492764	+	0.853492i
$320$	36.0295	+	169.506i	0.112592	+	0.529705i
$321$	108.646	+	149.538i	0.338461	+	0.465852i
$322$	1029.30	+	100.701i	3.19657	+	0.312737i
$323$	−0.111246	−	0.342379i	−0.000344414	−	0.00106000i
$324$	−333.345	+	370.217i	−1.02884	+	1.14265i
$325$	−564.434	−	325.876i	−1.73672	−	1.00270i
$326$	445.397	−	198.303i	1.36625	−	0.608293i
$327$	15.6586	−	9.04049i	0.0478856	−	0.0276468i
$328$	−678.088	+	88.1791i	−2.06734	+	0.268839i
$329$	−238.437	+	1.71556i	−0.724733	+	0.00521446i
$330$	−374.526	−	272.109i	−1.13493	−	0.824573i
$331$	−3.39819	−	5.88583i	−0.0102664	−	0.0177820i	0.860847	−	0.508865i	$-0.169935\pi$
$331$	−3.39819	−	5.88583i	−0.0102664	−	0.0177820i	−0.871113	+	0.491083i	$0.836601\pi$
$332$	117.739	−	553.918i	0.354636	−	1.66843i
$333$	−79.2761	−	16.8507i	−0.238066	−	0.0506026i
$334$	−1031.39	−	108.404i	−3.08800	−	0.324562i
$335$	−19.9963	−	27.5225i	−0.0596904	−	0.0821568i
$336$	305.336	+	334.242i	0.908738	+	0.994769i
$337$	−532.034			−1.57874			−0.789368	−	0.613920i	$-0.789592\pi$
$337$	−532.034			−1.57874			−0.789368	+	0.613920i	$0.789592\pi$
$338$	1087.52	−	231.158i	3.21750	−	0.683901i
$339$	−3.76411	+	3.38922i	−0.0111036	+	0.00999771i
$340$	57.3743	+	12.1953i	0.168748	+	0.0358685i
$341$	13.7851	+	1.44887i	0.0404255	+	0.00424889i
$342$			2.98165i			0.00871829i
$343$	323.849	−	113.009i	0.944165	−	0.329472i
$344$	−320.216	+	232.651i	−0.930861	+	0.676310i
$345$	787.066	−	167.296i	2.28135	−	0.484916i
$346$	176.162	+	395.666i	0.509139	+	1.14354i
$347$	−40.6633	−	386.885i	−0.117185	−	1.11494i	−0.882182	−	0.470908i	$-0.843926\pi$
$347$	−40.6633	−	386.885i	−0.117185	−	1.11494i	0.764997	−	0.644034i	$-0.222740\pi$
$348$	434.423	−	975.730i	1.24834	−	2.80382i
$349$	−45.1706	−	62.1720i	−0.129429	−	0.178143i	0.739384	−	0.673284i	$-0.235117\pi$
$349$	−45.1706	−	62.1720i	−0.129429	−	0.178143i	−0.868813	+	0.495140i	$0.835117\pi$
$350$	−736.053	+	82.7208i	−2.10301	+	0.236345i
$351$	517.660	+	376.102i	1.47481	+	1.07152i
$352$	−138.472	+	29.4331i	−0.393386	+	0.0836167i
$353$	−479.181	+	50.3640i	−1.35745	+	0.142674i	−0.755129	−	0.655576i	$-0.772426\pi$
$353$	−479.181	+	50.3640i	−1.35745	+	0.142674i	−0.602326	+	0.798251i	$0.705759\pi$
$354$	−44.4622	−	9.45074i	−0.125600	−	0.0266970i
$355$	869.492	−	502.002i	2.44927	−	1.41409i
$356$	559.996	−	770.768i	1.57302	−	2.16508i
$357$	−15.9055	+	5.29481i	−0.0445531	+	0.0148314i
$358$	−161.400	+	496.737i	−0.450837	+	1.38753i
$359$	−384.589	+	81.7469i	−1.07128	+	0.227707i	−0.709607	−	0.704598i	$-0.751127\pi$
$359$	−384.589	+	81.7469i	−1.07128	+	0.227707i	−0.361672	+	0.932305i	$0.617794\pi$
$360$	−226.912	−	131.008i	−0.630311	−	0.363910i
$361$	241.452	+	268.160i	0.668843	+	0.742825i
$362$	390.108	−	876.197i	1.07765	−	2.42043i
$363$	117.268	−	161.405i	0.323051	−	0.444642i
$364$	885.004	−	997.232i	2.43133	−	2.73965i
$365$	204.226	+	628.544i	0.559524	+	1.72204i
$366$	−1.94663	−	3.37167i	−0.00531867	−	0.00921220i
$367$	−43.9750	−	98.7694i	−0.119823	−	0.269126i	0.843669	−	0.536863i	$-0.180391\pi$
$367$	−43.9750	−	98.7694i	−0.119823	−	0.269126i	−0.963492	+	0.267737i	$0.913724\pi$
$368$	511.591	−	886.101i	1.39019	−	2.40788i
$369$	−49.4374	+	71.6883i	−0.133977	+	0.194277i
$370$			1005.18i			2.71671i
$371$	131.307	+	12.8465i	0.353928	+	0.0346267i
$372$	−47.0907			−0.126588
$373$	189.936	−	210.946i	0.509212	−	0.565538i	−0.432639	−	0.901567i	$-0.642418\pi$
$373$	189.936	−	210.946i	0.509212	−	0.565538i	0.941851	+	0.336030i	$0.109084\pi$
$374$	4.53205	−	21.3216i	0.0121178	−	0.0570097i
$375$	−83.4827	+	37.1689i	−0.222621	+	0.0991171i
$376$	−231.070	+	518.992i	−0.614548	+	1.38030i
$377$	−978.635	−	317.978i	−2.59585	−	0.843443i
$378$	727.156	−	5.23189i	1.92369	−	0.0138410i
$379$	−63.9228	+	196.734i	−0.168662	+	0.519087i	−0.999287	−	0.0377439i	$-0.987983\pi$
$379$	−63.9228	+	196.734i	−0.168662	+	0.519087i	0.830626	+	0.556831i	$0.187983\pi$
$380$	24.7638	−	5.26371i	0.0651680	−	0.0138519i
$381$	−88.0630	+	414.304i	−0.231136	+	1.08741i
$382$	−281.928	+	125.522i	−0.738030	+	0.328592i
$383$	−499.152	+	288.185i	−1.30327	+	0.752442i	−0.980963	−	0.194194i	$-0.937791\pi$
$383$	−499.152	+	288.185i	−1.30327	+	0.752442i	−0.322305	+	0.946636i	$0.604458\pi$
$384$	−418.791	+	136.074i	−1.09060	+	0.354358i
$385$	38.7544	+	344.838i	0.100661	+	0.895683i
$386$	107.432	−	330.643i	0.278322	−	0.856588i
$387$	−5.26892	+	50.1304i	−0.0136148	+	0.129536i
$388$	1212.84	−	127.474i	3.12587	−	0.328542i
$389$	−1.99932	−	19.0223i	−0.00513964	−	0.0489004i	0.991651	−	0.128947i	$-0.0411597\pi$
$389$	−1.99932	−	19.0223i	−0.00513964	−	0.0489004i	−0.996791	+	0.0800467i	$0.974493\pi$
$390$	616.300	−	1384.23i	1.58026	−	3.54932i
$391$	22.2698	+	30.6518i	0.0569561	+	0.0783933i
$392$	73.7192	−	813.889i	0.188059	−	2.07625i
$393$	116.542	−	358.680i	0.296545	−	0.912672i
$394$	617.270	+	274.826i	1.56667	+	0.697528i
$395$	−176.055	+	828.271i	−0.445708	+	2.09689i
$396$	−61.8004	+	107.041i	−0.156062	+	0.270307i
$397$	672.887	+	70.7233i	1.69493	+	0.178144i	0.902167	−	0.431387i	$-0.141976\pi$
$397$	672.887	+	70.7233i	1.69493	+	0.178144i	0.792762	+	0.609531i	$0.208642\pi$
$398$	457.385	−	148.614i	1.14921	−	0.373401i
$399$	−5.34205	+	4.88005i	−0.0133886	+	0.0122307i
$400$	−226.444	+	696.923i	−0.566110	+	1.74231i
$401$	−213.601	−	369.968i	−0.532671	−	0.922613i	−0.999272	−	0.0381453i	$-0.987855\pi$
$401$	−213.601	−	369.968i	−0.532671	−	0.922613i	0.466601	−	0.884468i	$-0.345478\pi$
$402$	31.9188	−	28.7398i	0.0794000	−	0.0714921i
$403$	4.74225	+	45.1195i	0.0117674	+	0.111959i
$404$	1198.92	+	126.012i	2.96763	+	0.311910i
$405$	403.604	−	131.139i	0.996553	−	0.323800i
$406$	−1109.55	+	369.360i	−2.73287	+	0.909754i
$407$	255.739			0.628352
$408$	−4.17491	+	39.7216i	−0.0102326	+	0.0973570i
$409$	−178.098	−	102.825i	−0.435448	−	0.251406i	0.266217	−	0.963913i	$-0.414226\pi$
$409$	−178.098	−	102.825i	−0.435448	−	0.251406i	−0.701665	+	0.712507i	$0.747560\pi$
$410$	997.160	+	414.890i	2.43210	+	1.01193i
$411$	−164.119	+	94.7542i	−0.399316	+	0.230545i
$412$	−319.467	+	439.709i	−0.775406	+	1.06726i
$413$	17.2481	+	29.3843i	0.0417629	+	0.0711483i
$414$	−96.9700	−	298.443i	−0.234227	−	0.720876i
$415$	−322.789	+	358.493i	−0.777804	+	0.863838i
$416$	−188.463	−	423.294i	−0.453035	−	1.01753i
$417$	−18.8989	−	179.811i	−0.0453210	−	0.431200i
$418$	−1.95612	−	9.20282i	−0.00467971	−	0.0220163i
$419$			1.43241i			0.00341865i	0.999999	+	0.00170932i	$0.000544095\pi$
$419$			1.43241i			0.00341865i	−0.999999	+	0.00170932i	$0.999456\pi$
$420$	−253.399	−	1151.35i	−0.603332	−	2.74132i
$421$	46.2014	−	142.193i	0.109742	−	0.337751i	−0.881072	−	0.472982i	$-0.843178\pi$
$421$	46.2014	−	142.193i	0.109742	−	0.337751i	0.990814	+	0.135231i	$0.0431776\pi$
$422$	126.075	−	140.021i	0.298756	−	0.331802i
$423$	29.4269	+	66.0939i	0.0695672	+	0.156250i
$424$	157.171	−	272.228i	0.370687	−	0.642048i
$425$	−20.1650	−	18.1566i	−0.0474470	−	0.0427215i
$426$	745.069	+	1025.50i	1.74899	+	2.40728i
$427$	−0.881812	+	2.78189i	−0.00206513	+	0.00651496i
$428$	−495.173	−	359.764i	−1.15695	−	0.840570i
$429$	−352.177	−	156.799i	−0.820926	−	0.365500i
$430$	621.739	−	65.3474i	1.44591	−	0.151971i
$431$	51.1691	+	486.842i	0.118722	+	1.12956i	0.877955	+	0.478744i	$0.158908\pi$
$431$	51.1691	+	486.842i	0.118722	+	1.12956i	−0.759233	+	0.650819i	$0.774426\pi$
$432$	292.615	−	657.223i	0.677349	−	1.52135i
$433$	341.058	−	469.426i	0.787662	−	1.08412i	−0.206733	−	0.978397i	$-0.566283\pi$
$433$	341.058	−	469.426i	0.787662	−	1.08412i	0.994395	−	0.105726i	$-0.0337167\pi$
$434$	34.7743	+	38.0664i	0.0801251	+	0.0877106i
$435$	−736.076	+	534.791i	−1.69213	+	1.22940i
$436$	−40.0624	+	44.4938i	−0.0918862	+	0.102050i
$437$	14.1622	+	8.17653i	0.0324077	+	0.0187106i
$438$	−762.258	+	339.379i	−1.74031	+	0.774838i
$439$	36.4674	+	32.8354i	0.0830692	+	0.0747959i	0.709619	−	0.704585i	$-0.248867\pi$
$439$	36.4674	+	32.8354i	0.0830692	+	0.0747959i	−0.626550	+	0.779381i	$0.715534\pi$
$440$	786.307	+	255.487i	1.78706	+	0.580652i
$441$	−70.7445	−	76.3317i	−0.160418	−	0.173088i
$442$	71.3461			0.161417
$443$	780.174	−	165.831i	1.76111	−	0.374336i	0.790029	−	0.613070i	$-0.210065\pi$
$443$	780.174	−	165.831i	1.76111	−	0.374336i	0.971085	+	0.238733i	$0.0767321\pi$
$444$	−864.074	+	90.8179i	−1.94611	+	0.204545i
$445$	−741.416	+	330.100i	−1.66610	+	0.741797i
$446$	−30.1430	−	27.1409i	−0.0675853	−	0.0608540i
$447$	411.460	−	133.691i	0.920492	−	0.299086i
$448$	142.613	+	80.9751i	0.318332	+	0.180748i
$449$	−361.058	−	262.324i	−0.804138	−	0.584241i	0.107987	−	0.994152i	$-0.465560\pi$
$449$	−361.058	−	262.324i	−0.804138	−	0.584241i	−0.912125	+	0.409912i	$0.865560\pi$
$450$	112.370	+	194.631i	0.249711	+	0.432513i
$451$	105.556	−	253.698i	0.234050	−	0.562523i
$452$	8.38616	−	14.5253i	0.0185535	−	0.0321355i
$453$	466.257	+	49.0056i	1.02927	+	0.108180i
$454$		−	122.655i		−	0.270164i
$455$	−1077.64	+	358.739i	−2.36844	+	0.788437i
$456$	5.32716	+	16.3953i	0.0116824	+	0.0359546i
$457$	−15.0875	+	143.548i	−0.0330143	+	0.314110i	0.965535	+	0.260272i	$0.0838121\pi$
$457$	−15.0875	+	143.548i	−0.0330143	+	0.314110i	−0.998550	+	0.0538380i	$0.982855\pi$
$458$	−1292.82	+	135.881i	−2.82276	+	0.296684i
$459$	17.8254	+	19.7971i	0.0388353	+	0.0431310i
$460$	−2307.50	+	1332.24i	−5.01630	+	2.89616i
$461$	−285.993	−	92.9248i	−0.620375	−	0.201572i	−0.0180683	−	0.999837i	$-0.505752\pi$
$461$	−285.993	−	92.9248i	−0.620375	−	0.201572i	−0.602307	+	0.798265i	$0.705752\pi$
$462$	−427.870	+	94.1691i	−0.926125	+	0.203829i
$463$	209.924	+	646.080i	0.453400	+	1.39542i	0.873003	+	0.487714i	$0.162169\pi$
$463$	209.924	+	646.080i	0.453400	+	1.39542i	−0.419603	+	0.907708i	$0.637831\pi$
$464$	−120.933	+	1150.60i	−0.260632	+	2.47974i
$465$	34.7401	+	20.0572i	0.0747099	+	0.0431338i
$466$	978.501	+	207.987i	2.09979	+	0.446324i
$467$	−12.6945	+	28.5123i	−0.0271830	+	0.0610541i	−0.926627	−	0.375982i	$-0.877305\pi$
$467$	−12.6945	+	28.5123i	−0.0271830	+	0.0610541i	0.899444	+	0.437037i	$0.143972\pi$
$468$	−384.753	−	125.014i	−0.822123	−	0.267124i
$469$	−32.0421	−	3.13485i	−0.0683200	−	0.00668411i
$470$	725.932	−	527.421i	1.54454	−	1.12217i
$471$	472.946	+	210.569i	1.00413	+	0.447068i
$472$	80.7352	−	8.48561i	0.171049	−	0.0179780i
$473$	−16.6257	−	158.183i	−0.0351495	−	0.334425i
$474$	−1063.22	−	111.749i	−2.24309	−	0.235758i
$475$	−11.1386	−	3.61916i	−0.0234497	−	0.00761928i
$476$	44.6727	−	32.9502i	0.0938501	−	0.0692232i
$477$	−12.3705	−	38.0724i	−0.0259339	−	0.0798164i
$478$	−288.522	−	499.734i	−0.603602	−	1.04547i
$479$	−278.182	−	624.808i	−0.580757	−	1.30440i	−0.930066	−	0.367393i	$-0.880250\pi$
$479$	−278.182	−	624.808i	−0.580757	−	1.30440i	0.349309	−	0.937008i	$-0.386416\pi$
$480$	−400.744	−	85.1807i	−0.834883	−	0.177460i
$481$	174.033	+	818.759i	0.361814	+	1.70220i
$482$	−831.108	−	270.043i	−1.72429	−	0.560256i
$483$	375.992	−	662.194i	0.778451	−	1.37100i
$484$	−204.148	+	628.304i	−0.421794	+	1.29815i
$485$	−949.039	−	422.539i	−1.95678	−	0.871215i
$486$	−162.350	−	364.644i	−0.334054	−	0.750297i
$487$	−753.684	−	160.200i	−1.54761	−	0.328954i	−0.646623	−	0.762810i	$-0.723819\pi$
$487$	−753.684	−	160.200i	−1.54761	−	0.328954i	−0.900982	+	0.433856i	$0.857153\pi$
$488$	5.16712	+	4.65250i	0.0105884	+	0.00953381i
$489$		−	358.983i		−	0.734117i
$490$	−743.589	+	1055.06i	−1.51753	+	2.15319i
$491$	−413.233			−0.841615			−0.420807	−	0.907150i	$-0.638253\pi$
$491$	−413.233			−0.841615			−0.420807	+	0.907150i	$0.638253\pi$
$492$	−266.554	+	894.663i	−0.541776	+	1.81842i
$493$	−37.1011	−	21.4203i	−0.0752558	−	0.0434490i
$494$	28.1320	−	12.5252i	0.0569475	−	0.0253546i
$495$	91.1838	−	52.6450i	0.184210	−	0.106354i
$496$	48.5124	−	15.7626i	0.0978072	−	0.0317795i
$497$	190.856	−	930.788i	0.384017	−	1.87281i
$498$	−492.728	−	357.988i	−0.989414	−	0.718851i
$499$	−2.40192	−	1.06941i	−0.00481347	−	0.00214310i	0.404328	−	0.914614i	$-0.367505\pi$
$499$	−2.40192	−	1.06941i	−0.00481347	−	0.00214310i	−0.409142	+	0.912471i	$0.634172\pi$
$500$	224.876	−	202.480i	0.449753	−	0.404959i
$501$	−381.801	+	661.298i	−0.762078	+	1.31996i
$502$	143.153	+	673.481i	0.285165	+	1.34160i
$503$	−671.827	−	218.290i	−1.33564	−	0.433976i	−0.447803	−	0.894132i	$-0.647793\pi$
$503$	−671.827	−	218.290i	−1.33564	−	0.433976i	−0.887838	+	0.460156i	$0.847793\pi$
$504$	−235.269	+	78.3193i	−0.466803	+	0.155395i
$505$	−830.806	−	603.616i	−1.64516	−	1.19528i
$506$	495.090	+	857.520i	0.978438	+	1.69470i
$507$	170.203	−	800.742i	0.335706	−	1.57937i
$508$	−146.606	−	1394.87i	−0.288595	−	2.74580i
$509$	−51.5123	−	242.346i	−0.101203	−	0.476123i	−0.999337	−	0.0364014i	$-0.988411\pi$
$509$	−51.5123	−	242.346i	−0.101203	−	0.476123i	0.898134	−	0.439721i	$-0.144923\pi$
$510$	37.0800	−	51.0362i	0.0727059	−	0.100071i
$511$	573.187	+	250.273i	1.12170	+	0.489772i
$512$	909.645	−	660.896i	1.77665	−	1.29081i
$513$	10.5041	+	4.67673i	0.0204759	+	0.00911644i
$514$	726.540	−	76.3624i	1.41350	−	0.148565i
$515$	422.964	−	188.316i	0.821290	−	0.365662i
$516$	112.348	+	528.554i	0.217728	+	1.02433i
$517$	−134.187	−	184.692i	−0.259548	−	0.357238i
$518$	711.493	+	631.421i	1.37354	+	1.21896i
$519$	318.901			0.614453
$520$	−282.862	+	2691.26i	−0.543966	+	5.17549i
$521$	8.91293	−	41.9321i	0.0171074	−	0.0804838i	−0.968766	−	0.247978i	$-0.920234\pi$
$521$	8.91293	−	41.9321i	0.0171074	−	0.0804838i	0.985873	+	0.167494i	$0.0535674\pi$
$522$	237.424	+	263.686i	0.454834	+	0.505145i
$523$	73.1963	+	344.362i	0.139955	+	0.658435i	0.991057	+	0.133436i	$0.0426011\pi$
$523$	73.1963	+	344.362i	0.139955	+	0.658435i	−0.851103	+	0.524999i	$0.824066\pi$
$524$			1248.83i			2.38327i
$525$	−164.793	+	519.878i	−0.313891	+	0.990243i
$526$	534.482	−	388.324i	1.01612	−	0.738258i
$527$	−0.197436	+	1.87848i	−0.000374641	+	0.00356448i
$528$	−90.1169	+	423.967i	−0.170676	+	0.802967i
$529$	−1166.01	−	247.844i	−2.20418	−	0.468513i
$530$	−429.974	+	248.245i	−0.811271	+	0.468387i
$531$	6.07670	−	8.36387i	0.0114439	−	0.0157512i
$532$	11.8300	−	20.8349i	0.0222368	−	0.0391634i
$533$	884.057	+	165.300i	1.65864	+	0.310131i
$534$	−512.323	−	887.370i	−0.959407	−	1.66174i
$535$	212.070	+	476.316i	0.396392	+	0.890310i
$536$	−38.3535	+	66.4302i	−0.0715550	+	0.123937i
$537$	285.793	+	257.329i	0.532203	+	0.479197i
$538$	233.240	−	75.7843i	0.433532	−	0.140863i
$539$	268.429	+	189.184i	0.498013	+	0.350991i
$540$	−1515.65	+	1101.18i	−2.80676	+	2.03923i
$541$	−359.019	+	76.3118i	−0.663621	+	0.141057i	−0.527394	−	0.849621i	$-0.676831\pi$
$541$	−359.019	+	76.3118i	−0.663621	+	0.141057i	−0.136227	+	0.990678i	$0.543498\pi$
$542$	1260.11	+	727.527i	2.32493	+	1.34230i
$543$	−472.541	−	524.810i	−0.870242	−	0.966501i
$544$	−4.01081	−	18.8694i	−0.00737282	−	0.0346864i
$545$	48.5063	−	15.7607i	0.0890024	−	0.0289186i
$546$	−592.655	−	1305.76i	−1.08545	−	2.39150i
$547$	515.939			0.943216			0.471608	−	0.881808i	$-0.343674\pi$
$547$	515.939			0.943216			0.471608	+	0.881808i	$0.343674\pi$
$548$	419.897	−	466.343i	0.766236	−	0.850991i
$549$	0.880625	−	0.0925574i	0.00160405	−	0.000168593i
$550$	−474.516	−	527.003i	−0.862756	−	0.958188i
$551$	−18.3896	−	1.93282i	−0.0333749	−	0.00350784i
$552$	−1066.42	−	1467.81i	−1.93193	−	2.65907i
$553$	475.679	+	644.907i	0.860179	+	1.16620i
$554$	815.127	−	592.225i	1.47135	−	1.06900i
$555$	676.134	+	301.034i	1.21826	+	0.542404i
$556$	243.511	+	546.934i	0.437969	+	0.983695i
$557$	−477.537	−	530.359i	−0.857338	−	0.952170i	0.141951	−	0.989874i	$-0.454662\pi$
$557$	−477.537	−	530.359i	−0.857338	−	0.952170i	−0.999289	+	0.0377035i	$0.987996\pi$
$558$	6.36300	−	14.2915i	0.0114032	−	0.0256121i
$559$	495.116	−	160.873i	0.885717	−	0.287787i
$560$	646.441	+	1101.29i	1.15436	+	1.96660i
$561$	−12.9847	−	9.43391i	−0.0231456	−	0.0168162i
$562$	770.959	−	856.237i	1.37181	−	1.52355i
$563$	−71.2533	+	64.1568i	−0.126560	+	0.113955i	−0.729980	−	0.683468i	$-0.760471\pi$
$563$	−71.2533	+	64.1568i	−0.126560	+	0.113955i	0.603420	+	0.797423i	$0.293804\pi$
$564$	518.968	+	576.373i	0.920157	+	1.02194i
$565$	−12.3734	+	7.14380i	−0.0218999	+	0.0126439i
$566$	−552.304	−	179.455i	−0.975803	−	0.317058i
$567$	160.707	−	368.057i	0.283433	−	0.649131i
$568$	−1831.46	−	1330.63i	−3.22440	−	2.34266i
$569$	−282.879	+	314.169i	−0.497151	+	0.552142i	−0.938538	−	0.345175i	$-0.887820\pi$
$569$	−282.879	+	314.169i	−0.497151	+	0.552142i	0.441388	+	0.897316i	$0.354486\pi$
$570$	5.66110	−	26.6334i	0.00993175	−	0.0467252i
$571$	137.545	−	238.234i	0.240884	−	0.417223i	−0.720083	−	0.693888i	$-0.755896\pi$
$571$	137.545	−	238.234i	0.240884	−	0.417223i	0.960966	+	0.276666i	$0.0892294\pi$
$572$	1269.55	+	133.435i	2.21949	+	0.233278i
$573$			227.229i			0.396561i
$574$	920.051	−	445.195i	1.60288	−	0.775601i
$575$	1232.60			2.14365
$576$	5.20139	−	49.4879i	0.00903020	−	0.0859166i
$577$	491.585	+	283.817i	0.851967	+	0.491884i	0.861314	−	0.508073i	$-0.169642\pi$
$577$	491.585	+	283.817i	0.851967	+	0.491884i	−0.00934688	+	0.999956i	$0.502975\pi$
$578$	−1003.83	−	213.370i	−1.73673	−	0.369153i
$579$	−190.232	−	171.286i	−0.328553	−	0.295830i
$580$	1770.87	−	2437.40i	3.05323	−	4.20241i
$581$	50.9854	+	453.671i	0.0877546	+	0.780844i
$582$	405.302	−	1247.39i	0.696395	−	2.14328i
$583$	63.1587	+	109.394i	0.108334	+	0.187640i
$584$	1107.41	−	997.113i	1.89624	−	1.70738i
$585$	230.597	+	256.103i	0.394182	+	0.437784i
$586$	−422.452	−	380.377i	−0.720907	−	0.649108i
$587$	−591.401	+	813.994i	−1.00750	+	1.38670i	−0.0868887	+	0.996218i	$0.527692\pi$
$587$	−591.401	+	813.994i	−1.00750	+	1.38670i	−0.920610	+	0.390484i	$0.872308\pi$
$588$	−974.133	−	543.879i	−1.65669	−	0.924963i
$589$	0.251927	+	0.775352i	0.000427720	+	0.00131639i
$590$	−117.135	−	52.1519i	−0.198534	−	0.0883930i
$591$	369.722	−	332.899i	0.625587	−	0.563281i
$592$	859.762	−	382.791i	1.45230	−	0.646606i
$593$	−272.055	+	611.045i	−0.458777	+	1.03043i	0.525011	+	0.851096i	$0.324061\pi$
$593$	−272.055	+	611.045i	−0.458777	+	1.03043i	−0.983788	+	0.179335i	$0.942605\pi$
$594$	409.226	+	563.251i	0.688932	+	0.948234i
$595$	−46.9907	+	5.28101i	−0.0789760	+	0.00887565i
$596$	−1159.00	+	842.062i	−1.94463	+	1.41286i
$597$	37.0142	−	352.166i	0.0620003	−	0.589893i
$598$	−2408.47	+	2168.60i	−4.02755	+	3.62642i
$599$	−93.9957	−	894.309i	−0.156921	−	1.49300i	−0.735582	−	0.677436i	$-0.763091\pi$
$599$	−93.9957	−	894.309i	−0.156921	−	1.49300i	0.578661	−	0.815568i	$-0.303575\pi$
$600$	965.630	+	869.457i	1.60938	+	1.44909i
$601$		−	366.344i		−	0.609558i	−0.952423	−	0.304779i	$-0.901417\pi$
$601$		−	366.344i		−	0.609558i	0.952423	−	0.304779i	$-0.0985826\pi$
$602$	344.301	−	481.131i	0.571928	−	0.799221i
$603$	3.01869	+	9.29056i	0.00500611	+	0.0154072i
$604$	−1518.52	+	322.771i	−2.51410	+	0.534388i
$605$	418.218	−	376.565i	0.691269	−	0.622422i
$606$	648.268	−	1122.83i	1.06975	−	1.85286i
$607$	73.6777	+	346.626i	0.121380	+	0.571048i	0.996237	+	0.0866674i	$0.0276217\pi$
$607$	73.6777	+	346.626i	0.121380	+	0.571048i	−0.874857	+	0.484381i	$0.839045\pi$
$608$	−4.89410	−	6.73615i	−0.00804951	−	0.0110792i
$609$	−83.8399	+	856.950i	−0.137668	+	1.40714i
$610$	−3.39364	−	10.4446i	−0.00556335	−	0.0171222i
$611$	499.984	−	555.288i	0.818304	−	0.908819i
$612$	−14.5864	−	8.42147i	−0.0238340	−	0.0137606i
$613$	612.977	−	272.915i	0.999963	−	0.445212i	0.159568	−	0.987187i	$-0.448990\pi$
$613$	612.977	−	272.915i	0.999963	−	0.445212i	0.840395	+	0.541975i	$0.182323\pi$
$614$	−804.940	+	464.732i	−1.31098	+	0.756893i
$615$	577.706	−	546.485i	0.939359	−	0.888594i
$616$	674.771	−	396.079i	1.09541	−	0.642986i
$617$	−705.262	−	512.403i	−1.14305	−	0.830474i	−0.155508	−	0.987835i	$-0.549702\pi$
$617$	−705.262	−	512.403i	−1.14305	−	0.830474i	−0.987541	+	0.157360i	$0.949702\pi$
$618$	292.271	+	506.229i	0.472931	+	0.819140i
$619$	52.7867	−	248.342i	0.0852773	−	0.401198i	−0.914718	−	0.404092i	$-0.867588\pi$
$619$	52.7867	−	248.342i	0.0852773	−	0.401198i	0.999996	+	0.00289342i	$0.000921005\pi$
$620$	−129.930	−	27.6174i	−0.209564	−	0.0445443i
$621$	−1203.49	−	126.491i	−1.93798	−	0.203690i
$622$	150.903	+	207.700i	0.242609	+	0.333923i
$623$	−232.079	+	732.149i	−0.372519	+	1.17520i
$624$	−1418.67			−2.27351
$625$	474.416	−	100.840i	0.759066	−	0.161344i
$626$	−760.611	+	684.857i	−1.21503	+	1.09402i
$627$	−6.77607	−	1.44030i	−0.0108071	−	0.00229713i
$628$	−1704.90	−	179.193i	−2.71481	−	0.285339i
$629$			34.8493i			0.0554042i
$630$	383.664	+	78.6695i	0.608990	+	0.124872i
$631$	−64.5787	+	46.9192i	−0.102343	+	0.0743569i	−0.637780	−	0.770219i	$-0.720147\pi$
$631$	−64.5787	+	46.9192i	−0.102343	+	0.0743569i	0.535437	+	0.844575i	$0.320147\pi$
$632$	1867.57	−	396.964i	2.95501	−	0.628108i
$633$	−56.4273	−	126.738i	−0.0891426	−	0.200218i
$634$	−195.574	−	1860.76i	−0.308477	−	2.93496i
$635$	−485.957	+	1091.48i	−0.765286	+	1.71886i
$636$	−252.244	−	347.184i	−0.396610	−	0.545887i
$637$	−423.013	+	988.128i	−0.664070	+	1.55122i
$638$	−905.794	−	658.098i	−1.41974	−	1.03150i
$639$	−281.997	+	59.9403i	−0.441310	+	0.0938034i
$640$	−1235.31	+	129.836i	−1.93017	+	0.202869i
$641$	749.188	+	159.245i	1.16878	+	0.248432i	0.751116	−	0.660170i	$-0.229516\pi$
$641$	749.188	+	159.245i	1.16878	+	0.248432i	0.417664	+	0.908602i	$0.362849\pi$
$642$	−570.083	+	329.138i	−0.887980	+	0.512675i
$643$	−177.507	+	244.317i	−0.276060	+	0.379964i	−0.924424	−	0.381367i	$-0.875454\pi$
$643$	−177.507	+	244.317i	−0.276060	+	0.379964i	0.648364	+	0.761331i	$0.275454\pi$
$644$	−506.503	+	2470.17i	−0.786495	+	3.83567i
$645$	142.244	−	437.782i	0.220533	−	0.678731i
$646$	1.25406	−	0.266558i	0.00194127	−	0.000412629i
$647$	439.717	+	253.871i	0.679624	+	0.392381i	0.799713	−	0.600382i	$-0.204985\pi$
$647$	439.717	+	253.871i	0.679624	+	0.392381i	−0.120089	+	0.992763i	$0.538318\pi$
$648$	−640.271	−	711.093i	−0.988073	−	1.09737i
$649$	−13.2685	+	29.8015i	−0.0204445	+	0.0459192i
$650$	1364.31	−	1877.81i	2.09894	−	2.88894i
$651$	36.0195	−	11.9906i	0.0553295	−	0.0184188i
$652$	367.333	+	1130.54i	0.563395	+	1.73395i
$653$	214.044	+	370.736i	0.327786	+	0.567743i	0.982072	−	0.188505i	$-0.0603641\pi$
$653$	214.044	+	370.736i	0.327786	+	0.567743i	−0.654286	+	0.756247i	$0.727031\pi$
$654$	26.1907	+	58.8253i	0.0400470	+	0.0899470i
$655$	531.913	−	921.301i	0.812081	−	1.40657i
$656$	−24.8684	−	1010.90i	−0.0379092	−	1.54100i
$657$		−	189.773i		−	0.288848i
$658$	82.6845	−	845.140i	0.125660	−	1.28441i
$659$	615.635			0.934195			0.467098	−	0.884206i	$-0.345300\pi$
$659$	615.635			0.934195			0.467098	+	0.884206i	$0.345300\pi$
$660$	755.260	−	838.801i	1.14433	−	1.27091i
$661$	178.283	−	838.754i	0.269716	−	1.26892i	−0.609612	−	0.792700i	$-0.708675\pi$
$661$	178.283	−	838.754i	0.269716	−	1.26892i	0.879328	−	0.476216i	$-0.157992\pi$
$662$	22.1116	−	9.84471i	0.0334012	−	0.0148712i
$663$	21.3669	−	47.9908i	0.0322276	−	0.0723843i
$664$	1034.47	+	336.119i	1.55794	+	0.506204i
$665$	−17.6015	+	10.3318i	−0.0264684	+	0.0155365i
$666$	89.1934	−	274.509i	0.133924	−	0.412176i
$667$	1903.53	−	404.607i	2.85386	−	0.606607i
$668$	525.714	−	2473.29i	0.786997	−	3.70253i
$669$	−27.2835	+	12.1474i	−0.0407826	+	0.0181576i
$670$	104.924	−	60.5777i	0.156602	−	0.0904145i
$671$	−2.65731	+	0.863412i	−0.00396022	+	0.00128675i
$672$	−312.026	+	230.149i	−0.464325	+	0.342483i
$673$	−128.414	+	395.216i	−0.190808	+	0.587246i	−1.00000		0.000298247i	$-0.999905\pi$
$673$	−128.414	+	395.216i	−0.190808	+	0.587246i	0.809192	+	0.587544i	$0.199905\pi$
$674$	198.055	−	1884.37i	0.293850	−	2.79580i
$675$	861.921	−	90.5915i	1.27692	−	0.134210i
$676$	283.352	+	2695.92i	0.419160	+	3.98804i
$677$	405.132	−	909.942i	0.598423	−	1.34408i	−0.319600	−	0.947553i	$-0.603548\pi$
$677$	405.132	−	909.942i	0.598423	−	1.34408i	0.918023	−	0.396528i	$-0.129785\pi$
$678$	−10.6028	−	14.5935i	−0.0156383	−	0.0215243i
$679$	−895.237	+	406.328i	−1.31846	+	0.598422i
$680$	−34.8149	+	107.149i	−0.0511984	+	0.157572i
$681$	−82.5032	−	36.7328i	−0.121150	−	0.0539395i
$682$	−10.2633	+	48.2850i	−0.0150488	+	0.0707991i
$683$	245.914	−	425.936i	0.360050	−	0.623625i	−0.627919	−	0.778279i	$-0.716093\pi$
$683$	245.914	−	425.936i	0.360050	−	0.623625i	0.987969	+	0.154654i	$0.0494262\pi$
$684$	−7.22991	−	0.759894i	−0.0105700	−	0.00111096i
$685$	−508.399	+	165.189i	−0.742188	+	0.241151i
$686$	279.701	+	1189.08i	0.407727	+	1.73336i
$687$	−295.777	+	910.309i	−0.430535	+	1.32505i
$688$	−292.662	−	506.906i	−0.425381	−	0.736782i
$689$	−307.250	+	276.649i	−0.445935	+	0.401522i
$690$	299.539	+	2849.93i	0.434115	+	4.13033i
$691$	235.458	+	24.7476i	0.340749	+	0.0358142i	0.273358	−	0.961912i	$-0.411866\pi$
$691$	235.458	+	24.7476i	0.340749	+	0.0358142i	0.0673914	+	0.997727i	$0.478532\pi$
$692$	−1004.31	+	326.319i	−1.45131	+	0.471559i
$693$	20.0151	−	97.6119i	0.0288818	−	0.140854i
$694$	1385.41			1.99627
$695$	53.3096	−	507.207i	0.0767044	−	0.729794i
$696$	1776.64	+	1025.74i	2.55265	+	1.47377i
$697$	34.5711	+	14.3841i	0.0495999	+	0.0206371i
$698$	237.017	−	136.842i	0.339567	−	0.196049i
$699$	432.945	−	595.898i	0.619378	−	0.852501i
$700$	−12.9932	−	1805.86i	−0.0185617	−	2.57980i
$701$	−309.306	−	951.946i	−0.441235	−	1.35798i	−0.886560	−	0.462614i	$-0.846912\pi$
$701$	−309.306	−	951.946i	−0.441235	−	1.35798i	0.445325	−	0.895369i	$-0.353088\pi$
$702$	−1524.79	+	1693.45i	−2.17206	+	2.41232i
$703$	6.11798	+	13.7412i	0.00870267	+	0.0195465i
$704$	16.4126	+	156.156i	0.0233134	+	0.221812i
$705$	−137.365	−	646.249i	−0.194843	−	0.916666i
$706$		−	1715.92i		−	2.43049i
$707$	−949.137	+	208.894i	−1.34249	+	0.295465i
$708$	34.2476	−	105.403i	0.0483723	−	0.148875i
$709$	−364.279	+	404.573i	−0.513793	+	0.570625i	−0.943090	−	0.332539i	$-0.892095\pi$
$709$	−364.279	+	404.573i	−0.513793	+	0.570625i	0.429297	+	0.903163i	$0.358761\pi$
$710$	1454.32	+	3266.46i	2.04834	+	4.60065i
$711$	121.575	−	210.574i	0.170991	−	0.296165i
$712$	1359.91	+	1224.47i	1.90998	+	1.71976i
$713$	−50.4323	−	69.4141i	−0.0707325	−	0.0973550i
$714$	−12.8323	−	58.3053i	−0.0179724	−	0.0816601i
$715$	−879.748	−	639.175i	−1.23042	−	0.893950i
$716$	−1163.35	−	517.959i	−1.62480	−	0.723406i
$717$	−422.552	+	44.4120i	−0.589333	+	0.0619414i
$718$	−146.366	−	1392.58i	−0.203852	−	1.93952i
$719$	102.650	−	230.555i	0.142767	−	0.320660i	−0.827983	−	0.560754i	$-0.810511\pi$
$719$	102.650	−	230.555i	0.142767	−	0.320660i	0.970750	+	0.240094i	$0.0771781\pi$
$720$	227.749	−	313.470i	0.316318	−	0.435375i
$721$	132.397	−	417.678i	0.183630	−	0.579304i
$722$	−1039.66	+	755.355i	−1.43997	+	1.04620i
$723$	−430.546	+	478.170i	−0.595499	+	0.661369i
$724$	2025.18	+	1169.24i	2.79721	+	1.61497i
$725$	−1273.24	+	566.884i	−1.75620	+	0.781909i
$726$	528.014	+	475.426i	0.727292	+	0.654856i
$727$	−726.995	−	236.215i	−0.999993	−	0.324918i	−0.237130	−	0.971478i	$-0.576207\pi$
$727$	−726.995	−	236.215i	−0.999993	−	0.324918i	−0.762863	+	0.646560i	$0.776207\pi$
$728$	1727.25	+	1890.77i	2.37260	+	2.59721i
$729$	−810.258			−1.11146
$730$	−2302.22	+	489.351i	−3.15372	+	0.670344i
$731$	21.5554	−	2.26557i	0.0294876	−	0.00309927i
$732$	8.67172	−	3.86090i	0.0118466	−	0.00527445i
$733$	−201.710	−	181.620i	−0.275184	−	0.247776i	0.519970	−	0.854185i	$-0.325943\pi$
$733$	−201.710	−	181.620i	−0.275184	−	0.247776i	−0.795154	+	0.606408i	$0.792610\pi$
$734$	366.194	−	118.984i	0.498901	−	0.162103i
$735$	486.992	+	816.145i	0.662575	+	1.11040i
$736$	708.940	+	515.075i	0.963233	+	0.699830i
$737$	−15.4122	−	26.6947i	−0.0209121	−	0.0362208i
$738$	−235.503	−	201.785i	−0.319110	−	0.273422i
$739$	−292.983	+	507.461i	−0.396459	+	0.686687i	−0.993286	−	0.115683i	$-0.963094\pi$
$739$	−292.983	+	507.461i	−0.396459	+	0.686687i	0.596827	+	0.802370i	$0.296428\pi$
$740$	−2437.37	−	256.178i	−3.29374	−	0.346186i
$741$		−	22.6740i		−	0.0305992i
$742$	−94.3805	+	460.285i	−0.127197	+	0.620330i
$743$	−75.9127	−	233.635i	−0.102171	−	0.314449i	0.886885	−	0.461989i	$-0.152864\pi$
$743$	−75.9127	−	233.635i	−0.102171	−	0.314449i	−0.989056	+	0.147541i	$0.952864\pi$
$744$	9.45451	−	89.9537i	0.0127077	−	0.120905i
$745$	1213.68	−	127.563i	1.62911	−	0.171226i
$746$	676.426	+	751.247i	0.906737	+	1.00703i
$747$	119.962	−	69.2600i	0.160591	−	0.0927175i
$748$	50.5456	+	16.4233i	0.0675743	+	0.0219562i
$749$	470.363	+	149.097i	0.627988	+	0.199062i
$750$	−100.568	−	309.517i	−0.134091	−	0.412690i
$751$	10.5475	−	100.353i	0.0140446	−	0.133625i	−0.985253	−	0.171105i	$-0.945266\pi$
$751$	10.5475	−	100.353i	0.0140446	−	0.133625i	0.999297	+	0.0374796i	$0.0119329\pi$
$752$	−727.565	−	420.060i	−0.967507	−	0.558590i
$753$	495.887	+	105.404i	0.658548	+	0.139979i
$754$	1490.53	−	3347.78i	1.97683	−	4.44003i
$755$	1257.73	+	408.661i	1.66587	+	0.541273i
$756$	−172.634	+	1764.54i	−0.228352	+	2.33405i
$757$	−874.789	+	635.572i	−1.15560	+	0.839593i	−0.989215	−	0.146468i	$-0.953209\pi$
$757$	−874.789	+	635.572i	−1.15560	+	0.839593i	−0.166385	+	0.986061i	$0.553209\pi$
$758$	−673.001	−	299.639i	−0.887864	−	0.395302i
$759$	725.079	−	76.2089i	0.955308	−	0.100407i
$760$	5.08297	+	48.3613i	0.00668812	+	0.0636332i
$761$	113.471	+	11.9263i	0.149107	+	0.0156718i	0.178788	−	0.983888i	$-0.442782\pi$
$761$	113.471	+	11.9263i	0.149107	+	0.0156718i	−0.0296806	+	0.999559i	$0.509449\pi$
$762$	−1434.61	−	466.132i	−1.88269	−	0.611722i
$763$	19.3142	−	44.2342i	0.0253135	−	0.0579741i
$764$	−232.515	−	715.608i	−0.304339	−	0.936659i
$765$	7.17387	+	12.4255i	0.00937761	+	0.0162425i
$766$	−834.887	−	1875.19i	−1.08993	−	2.44802i
$767$	−104.440	−	22.1994i	−0.136167	−	0.0289432i
$768$	−274.957	−	1293.57i	−0.358017	−	1.68434i
$769$	546.971	+	177.722i	0.711275	+	0.231107i	0.642236	−	0.766507i	$-0.278007\pi$
$769$	546.971	+	177.722i	0.711275	+	0.231107i	0.0690389	+	0.997614i	$0.478007\pi$
$770$	−1235.78	+	8.89146i	−1.60491	+	0.0115473i
$771$	166.221	−	511.574i	0.215591	−	0.663520i
$772$	774.362	+	344.768i	1.00306	+	0.446591i
$773$	−231.239	−	519.371i	−0.299145	−	0.671891i	0.699960	−	0.714182i	$-0.253201\pi$
$773$	−231.239	−	519.371i	−0.299145	−	0.671891i	−0.999105	+	0.0422911i	$0.986534\pi$
$774$	−175.591	−	37.3231i	−0.226862	−	0.0482211i
$775$	45.6656	+	41.1175i	0.0589234	+	0.0530549i
$776$			2342.38i			3.01854i
$777$	637.803	−	289.485i	0.820854	−	0.372567i
$778$	68.1177			0.0875549
$779$	16.1567	−	0.397461i	0.0207403	−	0.000510219i
$780$	3199.42	+	1847.19i	4.10182	+	2.36819i
$781$	831.054	−	370.009i	1.06409	−	0.473763i
$782$	−116.853	+	67.4653i	−0.149429	+	0.0862728i
$783$	1301.34	−	422.831i	1.66199	−	0.540015i
$784$	1185.59	+	234.228i	1.51224	+	0.298760i
$785$	1181.43	+	858.361i	1.50501	+	1.09345i
$786$	1227.00	+	546.294i	1.56106	+	0.695031i
$787$	508.897	−	458.213i	0.646629	−	0.582227i	−0.279171	−	0.960241i	$-0.590060\pi$
$787$	508.897	−	458.213i	0.646629	−	0.582227i	0.925800	+	0.378014i	$0.123393\pi$
$788$	−823.713	+	1426.71i	−1.04532	+	1.81055i
$789$	−101.137	−	475.813i	−0.128184	−	0.603059i
$790$	−2868.05	−	931.886i	−3.63044	−	1.17960i
$791$	−2.71600	+	13.2457i	−0.00343363	+	0.0167455i
$792$	−192.065	−	139.544i	−0.242507	−	0.176191i
$793$	−4.57257	−	7.91992i	−0.00576617	−	0.00998729i
$794$	−500.978	+	2356.92i	−0.630955	+	2.96841i
$795$	38.2123	+	363.566i	0.0480658	+	0.457315i
$796$	243.790	+	1146.94i	0.306269	+	1.44088i
$797$	−826.620	+	1137.74i	−1.03716	+	1.42753i	−0.137734	+	0.990469i	$0.543982\pi$
$797$	−826.620	+	1137.74i	−1.03716	+	1.42753i	−0.899430	+	0.437064i	$0.856018\pi$
$798$	−15.2956	−	20.7372i	−0.0191675	−	0.0259865i
$799$	25.1678	−	18.2855i	0.0314991	−	0.0228854i
$800$	−573.334	−	255.265i	−0.716668	−	0.319081i
$801$	231.767	−	24.3597i	0.289347	−	0.0304116i
$802$	1389.88	−	618.812i	1.73301	−	0.771586i
$803$	124.501	+	585.730i	0.155045	+	0.729428i
$804$	61.5535	+	84.7212i	0.0765591	+	0.105375i
$805$	1425.77	−	1606.58i	1.77115	−	1.99575i
$806$	−161.571			−0.200460
$807$	18.8751	−	179.584i	0.0233892	−	0.222533i
$808$	−481.421	+	2264.91i	−0.595818	+	2.80310i
$809$	441.046	+	489.831i	0.545174	+	0.605478i	0.951272	−	0.308352i	$-0.0997775\pi$
$809$	441.046	+	489.831i	0.545174	+	0.605478i	−0.406098	+	0.913830i	$0.633111\pi$
$810$	314.225	+	1478.31i	0.387932	+	1.82507i
$811$			1451.38i			1.78962i	0.446450	+	0.894808i	$0.352688\pi$
$811$			1451.38i			1.78962i	−0.446450	+	0.894808i	$0.647312\pi$
$812$	−612.848	−	2784.56i	−0.754739	−	3.42926i
$813$	866.751	−	629.731i	1.06611	−	0.774577i
$814$	−95.2015	+	905.782i	−0.116955	+	1.11275i
$815$	210.534	−	990.486i	0.258324	−	1.21532i
$816$	−57.7734	−	12.2801i	−0.0708008	−	0.0150492i
$817$	8.10165	−	4.67749i	0.00991635	−	0.00572520i
$818$	430.487	−	592.514i	0.526267	−	0.724345i
$819$	326.129	−	2.34650i	0.398204	−	0.00286508i
$820$	−1260.16	+	2312.18i	−1.53678	+	2.81973i
$821$	−291.076	−	504.158i	−0.354538	−	0.614078i	0.632501	−	0.774560i	$-0.282029\pi$
$821$	−291.076	−	504.158i	−0.354538	−	0.614078i	−0.987039	+	0.160482i	$0.948695\pi$
$822$	−274.507	−	616.553i	−0.333950	−	0.750065i
$823$	350.323	−	606.777i	0.425666	−	0.737275i	−0.570817	−	0.821078i	$-0.693373\pi$
$823$	350.323	−	606.777i	0.425666	−	0.737275i	0.996482	+	0.0838028i	$0.0267066\pi$
$824$	−775.803	−	698.536i	−0.941508	−	0.847738i
$825$	−496.596	+	161.354i	−0.601935	+	0.195581i
$826$	−110.495	+	50.1510i	−0.133771	+	0.0607155i
$827$	77.9833	−	56.6582i	0.0942966	−	0.0685105i	−0.539638	−	0.841897i	$-0.681439\pi$
$827$	77.9833	−	56.6582i	0.0942966	−	0.0685105i	0.633935	+	0.773387i	$0.281439\pi$
$828$	748.377	−	159.072i	0.903837	−	0.192117i
$829$	−867.684	−	500.958i	−1.04666	−	0.604291i	−0.124950	−	0.992163i	$-0.539877\pi$
$829$	−867.684	−	500.958i	−1.04666	−	0.604291i	−0.921713	+	0.387872i	$0.873210\pi$
$830$	−1149.56	−	1276.71i	−1.38501	−	1.53821i
$831$	−154.242	−	725.654i	−0.185611	−	0.873229i
$832$	−488.771	+	158.811i	−0.587465	+	0.190879i
$833$	−25.7799	+	36.5785i	−0.0309483	+	0.0439118i
$834$	643.892			0.772053
$835$	−1441.28	+	1600.70i	−1.72608	+	1.91701i
$836$	22.8135	−	2.39780i	0.0272889	−	0.00286818i
$837$	−40.3674	−	44.8326i	−0.0482287	−	0.0535634i
$838$	−5.07335	−	0.533231i	−0.00605412	−	0.000636313i
$839$	−167.609	−	230.694i	−0.199773	−	0.274963i	0.697364	−	0.716718i	$-0.254356\pi$
$839$	−167.609	−	230.694i	−0.199773	−	0.274963i	−0.897136	+	0.441754i	$0.854356\pi$
$840$	2250.22	−	252.889i	2.67883	−	0.301058i
$841$	−1099.82	+	799.068i	−1.30776	+	0.950140i
$842$	486.424	+	216.570i	0.577701	+	0.257209i
$843$	−345.057	−	775.011i	−0.409320	−	0.919349i
$844$	307.391	+	341.392i	0.364207	+	0.404493i
$845$	939.228	−	2109.54i	1.11151	−	2.49650i
$846$	−245.047	+	79.6207i	−0.289654	+	0.0941143i
$847$	−3.83185	−	532.570i	−0.00452402	−	0.628772i
$848$	376.072	+	273.233i	0.443482	+	0.322208i
$849$	−286.115	+	317.763i	−0.337002	+	0.374279i
$850$	71.8142	−	64.6618i	0.0844872	−	0.0760727i
$851$	−1059.26	−	1176.43i	−1.24472	−	1.38241i
$852$	−2676.51	+	1545.29i	−3.14145	+	1.81372i
$853$	−182.647	−	59.3457i	−0.214123	−	0.0695729i	0.199991	−	0.979798i	$-0.435909\pi$
$853$	−182.647	−	59.3457i	−0.214123	−	0.0695729i	−0.414115	+	0.910225i	$0.635909\pi$
$854$	−9.52468	−	4.15881i	−0.0111530	−	0.00486980i
$855$	5.01005	+	3.64001i	0.00585971	+	0.00425733i
$856$	786.647	−	873.660i	0.918980	−	1.02063i
$857$	188.741	−	887.957i	0.220235	−	1.03612i	−0.719573	−	0.694417i	$-0.755662\pi$
$857$	188.741	−	887.957i	0.220235	−	1.03612i	0.939807	−	0.341705i	$-0.111004\pi$
$858$	686.457	−	1188.98i	0.800066	−	1.38576i
$859$	1112.45	+	116.923i	1.29505	+	0.136115i	0.726861	−	0.686785i	$-0.240978\pi$
$859$	1112.45	+	116.923i	1.29505	+	0.136115i	0.568187	+	0.822900i	$0.307645\pi$
$860$			1524.25i			1.77238i
$861$	−23.9206	−	752.198i	−0.0277824	−	0.873632i
$862$	−1743.35			−2.02245
$863$	−115.451	+	1098.45i	−0.133779	+	1.27282i	0.697345	+	0.716736i	$0.254365\pi$
$863$	−115.451	+	1098.45i	−0.133779	+	1.27282i	−0.831124	+	0.556087i	$0.812302\pi$
$864$	533.596	+	308.072i	0.617588	+	0.356565i
$865$	879.894	+	187.027i	1.01722	+	0.216216i
$866$	1535.66	+	1382.71i	1.77328	+	1.59667i
$867$	−444.151	+	611.322i	−0.512285	+	0.705100i
$868$	−101.166	+	74.6192i	−0.116550	+	0.0859668i
$869$	−237.091	+	729.691i	−0.272832	+	0.839690i
$870$	−1620.12	−	2806.13i	−1.86221	−	3.22544i
$871$	74.9761	−	67.5088i	0.0860805	−	0.0775072i
$872$	−76.9497	−	85.4613i	−0.0882450	−	0.0980060i
$873$	221.683	+	199.604i	0.253932	+	0.228642i
$874$	−34.2318	+	47.1160i	−0.0391668	+	0.0539085i
$875$	−120.450	+	212.136i	−0.137657	+	0.242441i
$876$	−628.659	−	1934.81i	−0.717648	−	2.20869i
$877$	1028.84	+	458.069i	1.17313	+	0.522313i	0.898388	−	0.439203i	$-0.144739\pi$
$877$	1028.84	+	458.069i	1.17313	+	0.522313i	0.274747	+	0.961517i	$0.411406\pi$
$878$	−129.872	+	116.938i	−0.147918	+	0.133186i
$879$	−382.376	+	170.245i	−0.435013	+	0.193680i
$880$	−497.291	+	1116.93i	−0.565103	+	1.26924i
$881$	−52.0197	−	71.5990i	−0.0590462	−	0.0812701i	0.778473	−	0.627678i	$-0.215995\pi$
$881$	−52.0197	−	71.5990i	−0.0590462	−	0.0812701i	−0.837519	+	0.546408i	$0.815995\pi$
$882$	296.689	−	222.149i	0.336382	−	0.251870i
$883$	−761.395	+	553.186i	−0.862282	+	0.626485i	−0.928505	−	0.371320i	$-0.878905\pi$
$883$	−761.395	+	553.186i	−0.862282	+	0.626485i	0.0662228	+	0.997805i	$0.478905\pi$
$884$	−18.1830	+	173.000i	−0.0205690	+	0.195701i
$885$	−70.1596	+	63.1720i	−0.0792764	+	0.0713808i
$886$	296.916	+	2824.97i	0.335120	+	3.18845i
$887$	96.4830	+	86.8737i	0.108774	+	0.0979410i	0.721723	−	0.692181i	$-0.243350\pi$
$887$	96.4830	+	86.8737i	0.108774	+	0.0979410i	−0.612949	+	0.790122i	$0.710017\pi$
$888$		−	1668.81i		−	1.87929i
$889$	467.312	+	1029.60i	0.525661	+	1.15816i
$890$	−893.154	−	2748.85i	−1.00354	−	3.08859i
$891$	376.112	−	79.9451i	0.422124	−	0.0897252i
$892$	73.4934	−	66.1737i	0.0823917	−	0.0741858i
$893$	6.71363	−	11.6284i	0.00751807	−	0.0130217i
$894$	320.341	+	1507.09i	0.358323	+	1.68578i
$895$	637.626	+	877.617i	0.712432	+	0.980578i
$896$	−684.077	+	955.940i	−0.763479	+	1.06690i
$897$	737.409	+	2269.51i	0.822083	+	2.53011i
$898$	1063.51	−	1181.15i	1.18431	−	1.31531i
$899$	84.0193	+	48.5085i	0.0934586	+	0.0539583i
$900$	−500.579	+	222.872i	−0.556199	+	0.247636i
$901$	−14.9070	+	8.60656i	−0.0165450	+	0.00955223i
$902$	859.258	+	468.304i	0.952614	+	0.519184i
$903$	−220.520	−	375.683i	−0.244208	−	0.416039i
$904$	26.0628	+	18.9357i	0.0288305	+	0.0209466i
$905$	−996.021	−	1725.16i	−1.10058	−	1.90625i
$906$	−347.138	+	1633.16i	−0.383155	+	1.80260i
$907$	1555.72	+	330.679i	1.71524	+	0.364585i	0.957602	−	0.288093i	$-0.0930212\pi$
$907$	1555.72	+	330.679i	1.71524	+	0.364585i	0.757635	+	0.652678i	$0.226355\pi$
$908$	297.412	+	31.2593i	0.327547	+	0.0344266i
$909$	173.327	+	238.564i	0.190679	+	0.262446i
$910$	−869.426	−	3950.36i	−0.955414	−	4.34105i
$911$	−1355.56			−1.48799			−0.743994	−	0.668187i	$-0.767071\pi$
$911$	−1355.56			−1.48799			−0.743994	+	0.668187i	$0.767071\pi$
$912$	−24.9361	+	5.30034i	−0.0273422	+	0.00581177i
$913$	−324.821	+	292.471i	−0.355774	+	0.320340i
$914$	−502.805	−	106.875i	−0.550115	−	0.116931i
$915$	−8.04184	−	0.845231i	−0.00878889	−	0.000923750i
$916$		−	3169.47i		−	3.46012i
$917$	−317.989	−	955.230i	−0.346772	−	1.04169i
$918$	−76.7535	+	55.7647i	−0.0836095	+	0.0607459i
$919$	−963.629	+	204.826i	−1.04856	+	0.222879i	−0.699805	−	0.714334i	$-0.746730\pi$
$919$	−963.629	+	204.826i	−1.04856	+	0.222879i	−0.348758	+	0.937213i	$0.613396\pi$
$920$	−2081.58	−	4675.32i	−2.26259	−	5.08186i
$921$	71.5360	+	680.620i	0.0776721	+	0.739001i
$922$	435.587	−	978.344i	0.472437	−	1.06111i
$923$	1750.14	+	2408.86i	1.89614	+	2.60982i
$924$	−119.296	−	1061.50i	−0.129108	−	1.14881i
$925$	917.225	+	666.403i	0.991594	+	0.720435i
$926$	−2366.45	+	503.004i	−2.55556	+	0.543201i
$927$	−132.219	+	13.8968i	−0.142631	+	0.0149911i
$928$	−969.202	−	206.010i	−1.04440	−	0.221994i
$929$	−99.4093	+	57.3940i	−0.107007	+	0.0617804i	−0.552548	−	0.833481i	$-0.686345\pi$
$929$	−99.4093	+	57.3940i	−0.107007	+	0.0617804i	0.445541	+	0.895261i	$0.353011\pi$
$930$	−83.9714	+	115.577i	−0.0902919	+	0.124276i
$931$	−3.74356	+	18.9488i	−0.00402101	+	0.0203532i
$932$	−753.704	+	2319.66i	−0.808695	+	2.48891i
$933$	184.901	−	39.3020i	0.198180	−	0.0421244i
$934$	−96.2596	−	55.5755i	−0.103062	−	0.0595027i
$935$	−30.2938	−	33.6447i	−0.0323998	−	0.0359836i
$936$	316.052	−	709.865i	0.337663	−	0.758403i
$937$	319.177	−	439.309i	0.340637	−	0.468846i	−0.603990	−	0.796992i	$-0.706424\pi$
$937$	319.177	−	439.309i	0.340637	−	0.468846i	0.944627	+	0.328145i	$0.106424\pi$
$938$	23.0311	−	112.320i	0.0245534	−	0.119745i
$939$	232.878	+	716.725i	0.248007	+	0.763286i
$940$	1093.88	+	1894.66i	1.16370	+	2.01559i
$941$	517.779	+	1162.95i	0.550244	+	1.23587i	0.947969	+	0.318363i	$0.103133\pi$
$941$	517.779	+	1162.95i	0.550244	+	1.23587i	−0.397725	+	0.917505i	$0.630200\pi$
$942$	−921.857	+	1596.70i	−0.978617	+	1.69501i
$943$	−1604.25	+	565.235i	−1.70122	+	0.599401i
$944$			120.049i			0.127171i
$945$	878.923	−	1228.22i	0.930078	−	1.29970i
$946$	566.445			0.598779
$947$	−429.315	+	476.803i	−0.453342	+	0.503487i	−0.925877	−	0.377824i	$-0.876672\pi$
$947$	−429.315	+	476.803i	−0.453342	+	0.503487i	0.472535	+	0.881312i	$0.343339\pi$
$948$	541.940	−	2549.63i	0.571666	−	2.68948i
$949$	−1790.52	+	797.189i	−1.88674	+	0.840031i
$950$	16.9649	−	38.1037i	0.0178578	−	0.0401092i
$951$	−1310.21	−	425.713i	−1.37772	−	0.447647i
$952$	53.9733	+	91.9502i	0.0566946	+	0.0965864i
$953$	−192.053	+	591.079i	−0.201525	+	0.620230i	0.798313	+	0.602242i	$0.205726\pi$
$953$	−192.053	+	591.079i	−0.201525	+	0.620230i	−0.999838	+	0.0179873i	$0.994274\pi$
$954$	139.451	−	29.6412i	0.146175	−	0.0310704i
$955$	−133.264	+	626.958i	−0.139544	+	0.656501i
$956$	1285.29	−	572.246i	1.34444	−	0.598584i
$957$	−713.937	+	412.192i	−0.746016	+	0.430712i
$958$	2316.51	−	752.681i	2.41807	−	0.785680i
$959$	−202.434	+	463.623i	−0.211089	+	0.483444i
$960$	−140.421	+	432.171i	−0.146272	+	0.450178i
$961$	−100.005	+	951.482i	−0.104063	+	0.990095i
$962$	−2964.68	+	311.601i	−3.08179	+	0.323909i
$963$	−15.6497	−	148.896i	−0.0162509	−	0.154617i
$964$	866.614	−	1946.45i	0.898977	−	2.01914i
$965$	−424.423	−	584.168i	−0.439816	−	0.605355i
$966$	2205.41	+	1578.20i	2.28303	+	1.63375i
$967$	−58.7289	+	180.749i	−0.0607331	+	0.186917i	−0.976820	−	0.214063i	$-0.931330\pi$
$967$	−58.7289	+	180.749i	−0.0607331	+	0.186917i	0.916087	+	0.400980i	$0.131330\pi$
$968$	−1159.21	−	516.115i	−1.19753	−	0.533177i
$969$	0.196268	−	0.923368i	0.000202547	−	0.000952908i
$970$	1849.85	−	3204.03i	1.90706	−	3.30313i
$971$	−1229.11	−	129.185i	−1.26582	−	0.133043i	−0.552282	−	0.833657i	$-0.686243\pi$
$971$	−1229.11	−	129.185i	−1.26582	−	0.133043i	−0.713540	+	0.700614i	$0.752909\pi$
$972$	925.565	−	300.734i	0.952227	−	0.309397i
$973$	−325.526	−	356.344i	−0.334559	−	0.366232i
$974$	847.968	−	2609.78i	0.870603	−	2.67944i
$975$	−854.520	−	1480.07i	−0.876430	−	1.51802i
$976$	−7.64117	+	6.88014i	−0.00782907	+	0.00704933i
$977$	3.69142	+	35.1215i	0.00377832	+	0.0359483i	0.996249	−	0.0865372i	$-0.0275802\pi$
$977$	3.69142	+	35.1215i	0.00377832	+	0.0359483i	−0.992470	+	0.122486i	$0.960913\pi$
$978$	1271.45	+	133.635i	1.30006	+	0.136641i
$979$	−699.362	+	227.237i	−0.714364	+	0.232111i
$980$	−2368.80	−	2071.94i	−2.41714	−	2.11423i
$981$	−14.6453			−0.0149289
$982$	153.830	−	1463.60i	0.156650	−	1.49042i
$983$	1156.80	+	667.879i	1.17681	+	0.679429i	0.955274	−	0.295723i	$-0.0955607\pi$
$983$	1156.80	+	667.879i	1.17681	+	0.679429i	0.221533	+	0.975153i	$0.428894\pi$
$984$	−1655.49	−	688.801i	−1.68241	−	0.700001i
$985$	1215.35	−	701.684i	1.23386	−	0.712370i
$986$	89.6783	−	123.432i	0.0909516	−	0.125184i
$987$	−543.719	−	308.722i	−0.550880	−	0.312788i
$988$	23.2014	+	71.4067i	0.0234832	+	0.0722739i
$989$	−658.797	+	731.668i	−0.666124	+	0.739806i
$990$	152.515	+	342.554i	0.154056	+	0.346014i
$991$	117.591	+	1118.81i	0.118659	+	1.12897i	0.878129	+	0.478424i	$0.158792\pi$
$991$	117.591	+	1118.81i	0.118659	+	1.12897i	−0.759470	+	0.650542i	$0.774542\pi$
$992$	9.08289	+	42.7317i	0.00915614	+	0.0430763i
$993$		−	17.8216i		−	0.0179472i
$994$	3225.64	+	1022.47i	3.24511	+	1.02865i
$995$	308.664	−	949.969i	0.310215	−	0.954743i
$996$	993.623	−	1103.53i	0.997614	−	1.10796i
$997$	135.741	+	304.880i	0.136150	+	0.305797i	0.968734	−	0.248101i	$-0.0798064\pi$
$997$	135.741	+	304.880i	0.136150	+	0.305797i	−0.832584	+	0.553898i	$0.813140\pi$
$998$	4.68178	−	8.10908i	0.00469116	−	0.00812534i
$999$	−827.172	−	744.789i	−0.828000	−	0.745534i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	287.3.y.a.10.4	✓	432
7.5	odd	6	inner	287.3.y.a.215.51	yes	432
41.37	even	5	inner	287.3.y.a.283.51	yes	432
287.201	odd	30	inner	287.3.y.a.201.4	yes	432

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
287.3.y.a.10.4	✓	432	1.1	even	1	trivial
287.3.y.a.201.4	yes	432	287.201	odd	30	inner
287.3.y.a.215.51	yes	432	7.5	odd	6	inner
287.3.y.a.283.51	yes	432	41.37	even	5	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:	\( N \)	\(=\)	\( 287 = 7 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	287.y (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.372260 + 3.54182i) q^{2} +(2.27091 + 1.31111i) q^{3} +(-8.49333 - 1.80531i) q^{4} +(5.49683 + 4.94937i) q^{5} +(-5.48909 + 7.55509i) q^{6} +(6.95621 - 0.781768i) q^{7} +(5.15378 - 15.8617i) q^{8} +(-1.06198 - 1.83940i) q^{9} +O(q^{10})\)	\(q+(-0.372260 + 3.54182i) q^{2} +(2.27091 + 1.31111i) q^{3} +(-8.49333 - 1.80531i) q^{4} +(5.49683 + 4.94937i) q^{5} +(-5.48909 + 7.55509i) q^{6} +(6.95621 - 0.781768i) q^{7} +(5.15378 - 15.8617i) q^{8} +(-1.06198 - 1.83940i) q^{9} +(-19.5760 + 17.6264i) q^{10} +(4.48450 + 4.98054i) q^{11} +(-16.9206 - 15.2354i) q^{12} +(-12.8937 + 17.7466i) q^{13} +(0.179362 + 24.9287i) q^{14} +(5.99365 + 18.4465i) q^{15} +(22.5312 + 10.0315i) q^{16} +(-0.678693 + 0.611098i) q^{17} +(6.91014 - 3.07659i) q^{18} +(-0.160330 + 0.360106i) q^{19} +(-37.7513 - 51.9601i) q^{20} +(16.8219 + 7.34504i) q^{21} +(-19.3096 + 14.0292i) q^{22} +(4.33643 - 41.2584i) q^{23} +(32.5002 - 29.2633i) q^{24} +(3.10570 + 29.5487i) q^{25} +(-58.0556 - 52.2735i) q^{26} -29.1695i q^{27} +(-60.4927 - 5.91832i) q^{28} +(14.4957 + 44.6131i) q^{29} +(-67.5656 + 14.3615i) q^{30} +(1.53697 - 1.38389i) q^{31} +(-10.5614 + 18.2930i) q^{32} +(3.65386 + 17.1901i) q^{33} +(-1.91175 - 2.63130i) q^{34} +(42.1064 + 30.1316i) q^{35} +(5.69902 + 17.5398i) q^{36} +(25.5332 - 28.3574i) q^{37} +(-1.21575 - 0.701912i) q^{38} +(-52.5482 + 23.3960i) q^{39} +(106.835 - 61.6812i) q^{40} +(-17.5923 - 37.0339i) q^{41} +(-32.2769 + 56.8459i) q^{42} +(-19.1999 - 13.9496i) q^{43} +(-29.0969 - 50.3973i) q^{44} +(3.26635 - 15.3670i) q^{45} +(144.516 + 30.7177i) q^{46} +(-33.8767 - 3.56059i) q^{47} +(38.0139 + 52.3217i) q^{48} +(47.7777 - 10.8763i) q^{49} -105.812 q^{50} +(-2.34247 + 0.497907i) q^{51} +(141.548 - 127.451i) q^{52} +(18.4359 + 3.91867i) q^{53} +(103.313 + 10.8586i) q^{54} +49.5727i q^{55} +(23.4506 - 114.366i) q^{56} +(-0.836234 + 0.607560i) q^{57} +(-163.408 + 34.7334i) q^{58} +(1.97979 + 4.44667i) q^{59} +(-17.6042 - 167.493i) q^{60} +(-0.169569 + 0.380857i) q^{61} +(4.32935 + 5.95884i) q^{62} +(-8.82530 - 11.9650i) q^{63} +(18.9539 + 13.7708i) q^{64} +(-158.709 + 33.7347i) q^{65} +(-62.2443 + 6.54214i) q^{66} +(-4.49879 - 0.956247i) q^{67} +(6.86759 - 3.96500i) q^{68} +(63.9420 - 88.0086i) q^{69} +(-122.395 + 137.916i) q^{70} +(41.9448 - 129.093i) q^{71} +(-34.6491 + 7.36490i) q^{72} +(77.3786 + 44.6745i) q^{73} +(90.9320 + 100.990i) q^{74} +(-31.6889 + 71.1744i) q^{75} +(2.01184 - 2.76906i) q^{76} +(35.0888 + 31.1399i) q^{77} +(-63.3027 - 194.826i) q^{78} +(57.2399 + 99.1424i) q^{79} +(74.2005 + 166.657i) q^{80} +(28.6866 - 49.6867i) q^{81} +(137.716 - 48.5225i) q^{82} +65.2181i q^{83} +(-129.614 - 92.7526i) q^{84} -6.75522 q^{85} +(56.5543 - 62.8099i) q^{86} +(-25.5744 + 120.318i) q^{87} +(102.112 - 45.4632i) q^{88} +(-44.6278 + 100.236i) q^{89} +(53.2111 + 17.2893i) q^{90} +(-75.8174 + 133.529i) q^{91} +(-111.315 + 342.593i) q^{92} +(5.30476 - 1.12756i) q^{93} +(25.2219 - 118.660i) q^{94} +(-2.66361 + 1.18591i) q^{95} +(-47.9682 + 27.6945i) q^{96} +(-133.574 + 43.4007i) q^{97} +(20.7361 + 173.269i) q^{98} +(4.39876 - 13.5380i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 432 q - 3 q^{2} - 24 q^{3} + 101 q^{4} - 9 q^{5} - 6 q^{7} - 16 q^{8} + 576 q^{9}+O(q^{10}) \) 432 * q - 3 * q^2 - 24 * q^3 + 101 * q^4 - 9 * q^5 - 6 * q^7 - 16 * q^8 + 576 * q^9	\( 432 q - 3 q^{2} - 24 q^{3} + 101 q^{4} - 9 q^{5} - 6 q^{7} - 16 q^{8} + 576 q^{9} + 72 q^{10} - 11 q^{11} - 33 q^{12} + 182 q^{14} - 54 q^{15} + 197 q^{16} - 63 q^{17} + 48 q^{18} + 63 q^{19} - 26 q^{21} - 52 q^{22} - 24 q^{23} - 510 q^{24} - 253 q^{25} - 159 q^{26} - 65 q^{28} + 152 q^{29} - 131 q^{30} - 45 q^{31} + 94 q^{32} + 36 q^{33} + 84 q^{35} + 474 q^{36} - 46 q^{37} - 6 q^{38} + 74 q^{39} + 258 q^{40} - 220 q^{42} - 88 q^{43} + 128 q^{44} - 156 q^{45} - 82 q^{46} - 309 q^{47} - 338 q^{49} + 704 q^{50} + 66 q^{51} + 291 q^{52} + 68 q^{53} + 483 q^{54} - 182 q^{56} + 114 q^{57} + 159 q^{58} - 207 q^{59} + 430 q^{60} + 423 q^{61} - 172 q^{63} - 896 q^{64} + 204 q^{65} - 1560 q^{66} + 33 q^{67} - 1242 q^{68} + 707 q^{70} - 162 q^{71} - 41 q^{72} - 78 q^{73} - 439 q^{74} - 1452 q^{75} + 164 q^{77} - 222 q^{78} - 138 q^{79} - 27 q^{80} - 928 q^{81} + 165 q^{82} - 543 q^{84} + 156 q^{85} + 609 q^{86} - 588 q^{87} + 394 q^{88} - 1161 q^{89} - 950 q^{91} + 482 q^{92} - 45 q^{93} + 1779 q^{94} - 475 q^{95} + 2412 q^{96} - 1100 q^{98} + 932 q^{99}+O(q^{100}) \) 432 * q - 3 * q^2 - 24 * q^3 + 101 * q^4 - 9 * q^5 - 6 * q^7 - 16 * q^8 + 576 * q^9 + 72 * q^10 - 11 * q^11 - 33 * q^12 + 182 * q^14 - 54 * q^15 + 197 * q^16 - 63 * q^17 + 48 * q^18 + 63 * q^19 - 26 * q^21 - 52 * q^22 - 24 * q^23 - 510 * q^24 - 253 * q^25 - 159 * q^26 - 65 * q^28 + 152 * q^29 - 131 * q^30 - 45 * q^31 + 94 * q^32 + 36 * q^33 + 84 * q^35 + 474 * q^36 - 46 * q^37 - 6 * q^38 + 74 * q^39 + 258 * q^40 - 220 * q^42 - 88 * q^43 + 128 * q^44 - 156 * q^45 - 82 * q^46 - 309 * q^47 - 338 * q^49 + 704 * q^50 + 66 * q^51 + 291 * q^52 + 68 * q^53 + 483 * q^54 - 182 * q^56 + 114 * q^57 + 159 * q^58 - 207 * q^59 + 430 * q^60 + 423 * q^61 - 172 * q^63 - 896 * q^64 + 204 * q^65 - 1560 * q^66 + 33 * q^67 - 1242 * q^68 + 707 * q^70 - 162 * q^71 - 41 * q^72 - 78 * q^73 - 439 * q^74 - 1452 * q^75 + 164 * q^77 - 222 * q^78 - 138 * q^79 - 27 * q^80 - 928 * q^81 + 165 * q^82 - 543 * q^84 + 156 * q^85 + 609 * q^86 - 588 * q^87 + 394 * q^88 - 1161 * q^89 - 950 * q^91 + 482 * q^92 - 45 * q^93 + 1779 * q^94 - 475 * q^95 + 2412 * q^96 - 1100 * q^98 + 932 * q^99

Introduction

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