LMFDB - Embedded newform 23.3.d.a.7.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [23,3,Mod(5,23)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(23, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([1]))

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

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

chi := DirichletCharacter("23.5");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 23 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	23.d (of order $22$, 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:	$0.626704608029$
Analytic rank:	$0$
Dimension:	$30$
Relative dimension:	$3$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			7.1
Character	$\chi$	$=$	23.7
Dual form			23.3.d.a.10.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.38322 + 1.59632i) q^{2} +(-3.80315 + 2.44414i) q^{3} +(-0.0656849 - 0.456848i) q^{4} +(6.26010 - 2.85889i) q^{5} +(1.35897 - 9.45184i) q^{6} +(2.54176 + 8.65643i) q^{7} +(-6.28757 - 4.04078i) q^{8} +(4.75142 - 10.4042i) q^{9} +O(q^{10})$	\(q+(-1.38322 + 1.59632i) q^{2} +(-3.80315 + 2.44414i) q^{3} +(-0.0656849 - 0.456848i) q^{4} +(6.26010 - 2.85889i) q^{5} +(1.35897 - 9.45184i) q^{6} +(2.54176 + 8.65643i) q^{7} +(-6.28757 - 4.04078i) q^{8} +(4.75142 - 10.4042i) q^{9} +(-4.09539 + 13.9476i) q^{10} +(5.67468 - 4.91714i) q^{11} +(1.36641 + 1.57692i) q^{12} +(1.51426 + 0.444627i) q^{13} +(-17.3343 - 7.91629i) q^{14} +(-16.8206 + 26.1733i) q^{15} +(16.9189 - 4.96784i) q^{16} +(-2.21211 - 0.318053i) q^{17} +(10.0361 + 21.9761i) q^{18} +(8.82817 - 1.26930i) q^{19} +(-1.71727 - 2.67213i) q^{20} +(-30.8242 - 26.7093i) q^{21} +15.8601i q^{22} +(6.76730 - 21.9819i) q^{23} +33.7888 q^{24} +(14.6440 - 16.9001i) q^{25} +(-2.80432 + 1.80223i) q^{26} +(1.56841 + 10.9085i) q^{27} +(3.78772 - 1.72979i) q^{28} +(-4.03394 + 28.0567i) q^{29} +(-18.5145 - 63.0546i) q^{30} +(-40.2480 - 25.8658i) q^{31} +(-3.05297 + 6.68507i) q^{32} +(-9.56351 + 32.5703i) q^{33} +(3.56755 - 3.09130i) q^{34} +(40.6594 + 46.9235i) q^{35} +(-5.06522 - 1.48728i) q^{36} +(31.8328 + 14.5376i) q^{37} +(-10.1851 + 15.8483i) q^{38} +(-6.84569 + 2.01007i) q^{39} +(-50.9130 - 7.32018i) q^{40} +(-9.80327 - 21.4662i) q^{41} +(85.2734 - 12.2605i) q^{42} +(16.4311 + 25.5672i) q^{43} +(-2.61913 - 2.26949i) q^{44} -78.7148i q^{45} +(25.7295 + 41.2086i) q^{46} -62.7278 q^{47} +(-52.2030 + 60.2455i) q^{48} +(-27.2518 + 17.5137i) q^{49} +(6.72209 + 46.7532i) q^{50} +(9.19035 - 4.19709i) q^{51} +(0.103663 - 0.720992i) q^{52} +(-7.57617 - 25.8021i) q^{53} +(-19.5830 - 12.5852i) q^{54} +(21.4665 - 47.0051i) q^{55} +(18.9972 - 64.6986i) q^{56} +(-30.4725 + 26.4046i) q^{57} +(-39.2077 - 45.2480i) q^{58} +(44.5726 + 13.0877i) q^{59} +(13.0621 + 5.96526i) q^{60} +(41.2137 - 64.1298i) q^{61} +(96.9622 - 28.4707i) q^{62} +(102.140 + 14.6855i) q^{63} +(22.8517 + 50.0383i) q^{64} +(10.7505 - 1.54570i) q^{65} +(-38.7643 - 60.3184i) q^{66} +(-42.4452 - 36.7790i) q^{67} +1.03149i q^{68} +(27.9897 + 100.141i) q^{69} -131.146 q^{70} +(-41.1278 + 47.4640i) q^{71} +(-71.9158 + 46.2175i) q^{72} +(-9.65660 - 67.1632i) q^{73} +(-67.2384 + 30.7068i) q^{74} +(-14.3873 + 100.066i) q^{75} +(-1.15975 - 3.94976i) q^{76} +(56.9885 + 36.6243i) q^{77} +(6.26037 - 13.7083i) q^{78} +(-18.1259 + 61.7310i) q^{79} +(91.7114 - 79.4684i) q^{80} +(34.7845 + 40.1434i) q^{81} +(47.8270 + 14.0433i) q^{82} +(-51.8422 - 23.6756i) q^{83} +(-10.1774 + 15.8364i) q^{84} +(-14.7573 + 4.33313i) q^{85} +(-63.5413 - 9.13586i) q^{86} +(-53.2327 - 116.563i) q^{87} +(-55.5490 + 7.98675i) q^{88} +(-25.6079 - 39.8467i) q^{89} +(125.654 + 108.880i) q^{90} +14.2382i q^{91} +(-10.4869 - 1.64775i) q^{92} +216.289 q^{93} +(86.7664 - 100.134i) q^{94} +(51.6364 - 33.1847i) q^{95} +(-4.72832 - 32.8862i) q^{96} +(-112.534 + 51.3925i) q^{97} +(9.73782 - 67.7280i) q^{98} +(-24.1959 - 82.4037i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 30 q - 11 q^{2} - 11 q^{3} - 23 q^{4} - 11 q^{5} + 22 q^{6} - 11 q^{7} + 10 q^{8} - 38 q^{9}+O(q^{10}) $ 30 * q - 11 * q^2 - 11 * q^3 - 23 * q^4 - 11 * q^5 + 22 * q^6 - 11 * q^7 + 10 * q^8 - 38 * q^9	\( 30 q - 11 q^{2} - 11 q^{3} - 23 q^{4} - 11 q^{5} + 22 q^{6} - 11 q^{7} + 10 q^{8} - 38 q^{9} - 11 q^{10} - 11 q^{11} - 14 q^{12} - 11 q^{13} - 11 q^{14} + 66 q^{15} + 73 q^{16} + 44 q^{17} + 126 q^{18} + 22 q^{19} + 77 q^{20} + 22 q^{21} + 36 q^{23} - 22 q^{24} - 152 q^{25} - 186 q^{26} - 62 q^{27} - 275 q^{28} - 88 q^{29} - 363 q^{30} - 110 q^{31} - 147 q^{32} - 132 q^{33} + 231 q^{34} + 209 q^{35} + 229 q^{36} + 341 q^{37} + 374 q^{38} + 295 q^{39} + 429 q^{40} + 77 q^{41} + 319 q^{42} + 77 q^{43} + 110 q^{44} - 99 q^{46} - 110 q^{47} - 550 q^{48} - 422 q^{49} - 396 q^{50} - 275 q^{51} - 472 q^{52} - 187 q^{53} - 198 q^{54} - 165 q^{55} + 176 q^{56} - 176 q^{57} - 13 q^{58} - q^{59} + 539 q^{60} + 297 q^{61} + 82 q^{62} + 264 q^{63} + 386 q^{64} + 220 q^{65} + 264 q^{66} + 11 q^{67} - 66 q^{69} - 198 q^{70} - 176 q^{71} - 605 q^{72} - 121 q^{73} - 352 q^{74} + 154 q^{75} + 110 q^{76} + 110 q^{77} + 360 q^{78} + 33 q^{79} - 242 q^{80} + 494 q^{81} + 96 q^{82} - 154 q^{83} + 11 q^{84} + 275 q^{85} + 143 q^{86} + 271 q^{87} + 429 q^{88} + 121 q^{89} + 242 q^{90} + 166 q^{92} + 260 q^{93} - 295 q^{94} - 154 q^{95} - 419 q^{96} + 154 q^{97} + 77 q^{98} - 242 q^{99}+O(q^{100}) \) 30 * q - 11 * q^2 - 11 * q^3 - 23 * q^4 - 11 * q^5 + 22 * q^6 - 11 * q^7 + 10 * q^8 - 38 * q^9 - 11 * q^10 - 11 * q^11 - 14 * q^12 - 11 * q^13 - 11 * q^14 + 66 * q^15 + 73 * q^16 + 44 * q^17 + 126 * q^18 + 22 * q^19 + 77 * q^20 + 22 * q^21 + 36 * q^23 - 22 * q^24 - 152 * q^25 - 186 * q^26 - 62 * q^27 - 275 * q^28 - 88 * q^29 - 363 * q^30 - 110 * q^31 - 147 * q^32 - 132 * q^33 + 231 * q^34 + 209 * q^35 + 229 * q^36 + 341 * q^37 + 374 * q^38 + 295 * q^39 + 429 * q^40 + 77 * q^41 + 319 * q^42 + 77 * q^43 + 110 * q^44 - 99 * q^46 - 110 * q^47 - 550 * q^48 - 422 * q^49 - 396 * q^50 - 275 * q^51 - 472 * q^52 - 187 * q^53 - 198 * q^54 - 165 * q^55 + 176 * q^56 - 176 * q^57 - 13 * q^58 - q^59 + 539 * q^60 + 297 * q^61 + 82 * q^62 + 264 * q^63 + 386 * q^64 + 220 * q^65 + 264 * q^66 + 11 * q^67 - 66 * q^69 - 198 * q^70 - 176 * q^71 - 605 * q^72 - 121 * q^73 - 352 * q^74 + 154 * q^75 + 110 * q^76 + 110 * q^77 + 360 * q^78 + 33 * q^79 - 242 * q^80 + 494 * q^81 + 96 * q^82 - 154 * q^83 + 11 * q^84 + 275 * q^85 + 143 * q^86 + 271 * q^87 + 429 * q^88 + 121 * q^89 + 242 * q^90 + 166 * q^92 + 260 * q^93 - 295 * q^94 - 154 * q^95 - 419 * q^96 + 154 * q^97 + 77 * q^98 - 242 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/23\mathbb{Z}\right)^\times$.

$n$	$5$
$\chi(n)$	$e\left(\frac{19}{22}\right)$

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 $

$2$	−1.38322	+	1.59632i	−0.691611	+	0.798161i	−0.987594	−	0.157032i	$-0.949807\pi$
$2$	−1.38322	+	1.59632i	−0.691611	+	0.798161i	0.295983	+	0.955193i	$0.404353\pi$
$3$	−3.80315	+	2.44414i	−1.26772	+	0.814712i	−0.989321	−	0.145754i	$-0.953439\pi$
$3$	−3.80315	+	2.44414i	−1.26772	+	0.814712i	−0.278396	+	0.960466i	$0.589803\pi$
$4$	−0.0656849	−	0.456848i	−0.0164212	−	0.114212i
$5$	6.26010	−	2.85889i	1.25202	−	0.571778i	0.324618	−	0.945845i	$-0.394764\pi$
$5$	6.26010	−	2.85889i	1.25202	−	0.571778i	0.927402	+	0.374067i	$0.122037\pi$
$6$	1.35897	−	9.45184i	0.226495	−	1.57531i
$7$	2.54176	+	8.65643i	0.363108	+	1.23663i	0.915251	+	0.402884i	$0.131992\pi$
$7$	2.54176	+	8.65643i	0.363108	+	1.23663i	−0.552143	+	0.833749i	$0.686190\pi$
$8$	−6.28757	−	4.04078i	−0.785947	−	0.505097i
$9$	4.75142	−	10.4042i	0.527936	−	1.15602i
$10$	−4.09539	+	13.9476i	−0.409539	+	1.39476i
$11$	5.67468	−	4.91714i	0.515880	−	0.447013i	−0.357598	−	0.933875i	$-0.616404\pi$
$11$	5.67468	−	4.91714i	0.515880	−	0.447013i	0.873478	+	0.486863i	$0.161859\pi$
$12$	1.36641	+	1.57692i	0.113867	+	0.131410i
$13$	1.51426	+	0.444627i	0.116481	+	0.0342020i	0.339454	−	0.940623i	$-0.389758\pi$
$13$	1.51426	+	0.444627i	0.116481	+	0.0342020i	−0.222972	+	0.974825i	$0.571576\pi$
$14$	−17.3343	−	7.91629i	−1.23816	−	0.565450i
$15$	−16.8206	+	26.1733i	−1.12137	+	1.74489i
$16$	16.9189	−	4.96784i	1.05743	−	0.310490i
$17$	−2.21211	−	0.318053i	−0.130124	−	0.0187090i	0.0769450	−	0.997035i	$-0.475483\pi$
$17$	−2.21211	−	0.318053i	−0.130124	−	0.0187090i	−0.207069	+	0.978326i	$0.566392\pi$
$18$	10.0361	+	21.9761i	0.557563	+	1.22089i
$19$	8.82817	−	1.26930i	0.464641	−	0.0668052i	0.0939809	−	0.995574i	$-0.470041\pi$
$19$	8.82817	−	1.26930i	0.464641	−	0.0668052i	0.370660	+	0.928769i	$0.379132\pi$
$20$	−1.71727	−	2.67213i	−0.0858637	−	0.133606i
$21$	−30.8242	−	26.7093i	−1.46782	−	1.27187i
$22$			15.8601i			0.720914i
$23$	6.76730	−	21.9819i	0.294230	−	0.955735i
$23$	6.76730	−	21.9819i	0.294230	−	0.955735i
$24$	33.7888			1.40787
$25$	14.6440	−	16.9001i	0.585761	−	0.676005i
$26$	−2.80432	+	1.80223i	−0.107859	+	0.0693165i
$27$	1.56841	+	10.9085i	0.0580893	+	0.404020i
$28$	3.78772	−	1.72979i	0.135276	−	0.0617784i
$29$	−4.03394	+	28.0567i	−0.139101	+	0.967471i	0.794015	+	0.607898i	$0.207987\pi$
$29$	−4.03394	+	28.0567i	−0.139101	+	0.967471i	−0.933117	+	0.359574i	$0.882922\pi$
$30$	−18.5145	−	63.0546i	−0.617150	−	2.10182i
$31$	−40.2480	−	25.8658i	−1.29832	−	0.834382i	−0.305296	−	0.952258i	$-0.598755\pi$
$31$	−40.2480	−	25.8658i	−1.29832	−	0.834382i	−0.993028	+	0.117875i	$0.962392\pi$
$32$	−3.05297	+	6.68507i	−0.0954053	+	0.208908i
$33$	−9.56351	+	32.5703i	−0.289803	+	0.986980i
$34$	3.56755	−	3.09130i	0.104928	−	0.0909206i
$35$	40.6594	+	46.9235i	1.16170	+	1.34067i
$36$	−5.06522	−	1.48728i	−0.140701	−	0.0413134i
$37$	31.8328	+	14.5376i	0.860346	+	0.392907i	0.796200	−	0.605034i	$-0.206840\pi$
$37$	31.8328	+	14.5376i	0.860346	+	0.392907i	0.0641461	+	0.997941i	$0.479568\pi$
$38$	−10.1851	+	15.8483i	−0.268029	+	0.417061i
$39$	−6.84569	+	2.01007i	−0.175530	+	0.0515404i
$40$	−50.9130	−	7.32018i	−1.27282	−	0.183004i
$41$	−9.80327	−	21.4662i	−0.239104	−	0.523565i	0.751597	−	0.659623i	$-0.229284\pi$
$41$	−9.80327	−	21.4662i	−0.239104	−	0.523565i	−0.990701	+	0.136058i	$0.956557\pi$
$42$	85.2734	−	12.2605i	2.03032	−	0.291916i
$43$	16.4311	+	25.5672i	0.382118	+	0.594587i	0.978030	−	0.208463i	$-0.0668459\pi$
$43$	16.4311	+	25.5672i	0.382118	+	0.594587i	−0.595913	+	0.803049i	$0.703210\pi$
$44$	−2.61913	−	2.26949i	−0.0595256	−	0.0515793i
$45$		−	78.7148i		−	1.74922i
$46$	25.7295	+	41.2086i	0.559337	+	0.895839i
$47$	−62.7278			−1.33463			−0.667317	−	0.744774i	$-0.732557\pi$
$47$	−62.7278			−1.33463			−0.667317	+	0.744774i	$0.732557\pi$
$48$	−52.2030	+	60.2455i	−1.08756	+	1.25512i
$49$	−27.2518	+	17.5137i	−0.556160	+	0.357422i
$50$	6.72209	+	46.7532i	0.134442	+	0.935064i
$51$	9.19035	−	4.19709i	0.180203	−	0.0822959i
$52$	0.103663	−	0.720992i	0.00199352	−	0.0138652i
$53$	−7.57617	−	25.8021i	−0.142947	−	0.486832i	0.856630	−	0.515931i	$-0.172554\pi$
$53$	−7.57617	−	25.8021i	−0.142947	−	0.486832i	−0.999577	+	0.0290999i	$0.990736\pi$
$54$	−19.5830	−	12.5852i	−0.362648	−	0.233060i
$55$	21.4665	−	47.0051i	0.390300	−	0.854637i
$56$	18.9972	−	64.6986i	0.339236	−	1.15533i
$57$	−30.4725	+	26.4046i	−0.534606	+	0.463239i
$58$	−39.2077	−	45.2480i	−0.675994	−	0.780139i
$59$	44.5726	+	13.0877i	0.755468	+	0.221825i	0.636716	−	0.771099i	$-0.280292\pi$
$59$	44.5726	+	13.0877i	0.755468	+	0.221825i	0.118752	+	0.992924i	$0.462111\pi$
$60$	13.0621	+	5.96526i	0.217702	+	0.0994210i
$61$	41.2137	−	64.1298i	0.675635	−	1.05131i	−0.318989	−	0.947758i	$-0.603343\pi$
$61$	41.2137	−	64.1298i	0.675635	−	1.05131i	0.994624	−	0.103551i	$-0.0330203\pi$
$62$	96.9622	−	28.4707i	1.56391	−	0.459204i
$63$	102.140	+	14.6855i	1.62127	+	0.233103i
$64$	22.8517	+	50.0383i	0.357058	+	0.781848i
$65$	10.7505	−	1.54570i	0.165393	−	0.0237799i
$66$	−38.7643	−	60.3184i	−0.587338	−	0.913915i
$67$	−42.4452	−	36.7790i	−0.633510	−	0.548940i	0.277811	−	0.960636i	$-0.410391\pi$
$67$	−42.4452	−	36.7790i	−0.633510	−	0.548940i	−0.911321	+	0.411696i	$0.864937\pi$
$68$			1.03149i			0.0151690i
$69$	27.9897	+	100.141i	0.405648	+	1.45131i
$70$	−131.146			−1.87351
$71$	−41.1278	+	47.4640i	−0.579265	+	0.668507i	−0.967446	−	0.253076i	$-0.918558\pi$
$71$	−41.1278	+	47.4640i	−0.579265	+	0.668507i	0.388182	+	0.921583i	$0.373103\pi$
$72$	−71.9158	+	46.2175i	−0.998831	+	0.641910i
$73$	−9.65660	−	67.1632i	−0.132282	−	0.920043i	−0.942569	−	0.334010i	$-0.891598\pi$
$73$	−9.65660	−	67.1632i	−0.132282	−	0.920043i	0.810287	−	0.586033i	$-0.199311\pi$
$74$	−67.2384	+	30.7068i	−0.908627	+	0.414956i
$75$	−14.3873	+	100.066i	−0.191830	+	1.33421i
$76$	−1.15975	−	3.94976i	−0.0152599	−	0.0519706i
$77$	56.9885	+	36.6243i	0.740111	+	0.475640i
$78$	6.26037	−	13.7083i	0.0802612	−	0.175747i
$79$	−18.1259	+	61.7310i	−0.229441	+	0.781406i	0.761623	+	0.648020i	$0.224403\pi$
$79$	−18.1259	+	61.7310i	−0.229441	+	0.781406i	−0.991064	+	0.133385i	$0.957415\pi$
$80$	91.7114	−	79.4684i	1.14639	−	0.993355i
$81$	34.7845	+	40.1434i	0.429438	+	0.495598i
$82$	47.8270	+	14.0433i	0.583256	+	0.171260i
$83$	−51.8422	−	23.6756i	−0.624605	−	0.285248i	0.0778616	−	0.996964i	$-0.475191\pi$
$83$	−51.8422	−	23.6756i	−0.624605	−	0.285248i	−0.702467	+	0.711717i	$0.747918\pi$
$84$	−10.1774	+	15.8364i	−0.121160	+	0.188528i
$85$	−14.7573	+	4.33313i	−0.173615	+	0.0509780i
$86$	−63.5413	−	9.13586i	−0.738853	−	0.106231i
$87$	−53.2327	−	116.563i	−0.611870	−	1.33981i
$88$	−55.5490	+	7.98675i	−0.631239	+	0.0907585i
$89$	−25.6079	−	39.8467i	−0.287730	−	0.447716i	0.667058	−	0.745006i	$-0.267553\pi$
$89$	−25.6079	−	39.8467i	−0.287730	−	0.447716i	−0.954787	+	0.297290i	$0.903917\pi$
$90$	125.654	+	108.880i	1.39616	+	1.20978i
$91$			14.2382i			0.156464i
$92$	−10.4869	−	1.64775i	−0.113988	−	0.0179103i
$93$	216.289			2.32569
$94$	86.7664	−	100.134i	0.923046	−	1.06525i
$95$	51.6364	−	33.1847i	0.543541	−	0.349313i
$96$	−4.72832	−	32.8862i	−0.0492534	−	0.342565i
$97$	−112.534	+	51.3925i	−1.16014	+	0.529820i	−0.900060	−	0.435767i	$-0.856477\pi$
$97$	−112.534	+	51.3925i	−1.16014	+	0.529820i	−0.260083	+	0.965586i	$0.583750\pi$
$98$	9.73782	−	67.7280i	0.0993655	−	0.691102i
$99$	−24.1959	−	82.4037i	−0.244403	−	0.832361i
$100$	−8.68268	−	5.58002i	−0.0868268	−	0.0558002i
$101$	−61.6556	+	135.007i	−0.610452	+	1.33670i	0.311813	+	0.950144i	$0.399064\pi$
$101$	−61.6556	+	135.007i	−0.610452	+	1.33670i	−0.922265	+	0.386559i	$0.873663\pi$
$102$	−6.01238	+	20.4763i	−0.0589449	+	0.200748i
$103$	88.5299	−	76.7116i	0.859514	−	0.744773i	−0.108918	−	0.994051i	$-0.534739\pi$
$103$	88.5299	−	76.7116i	0.859514	−	0.744773i	0.968432	+	0.249278i	$0.0801932\pi$
$104$	−7.72438	−	8.91441i	−0.0742729	−	0.0857155i
$105$	−269.321	−	79.0799i	−2.56497	−	0.753142i
$106$	51.6679	+	23.5960i	0.487433	+	0.222603i
$107$	14.5720	−	22.6744i	0.136187	−	0.211910i	−0.766461	−	0.642291i	$-0.777984\pi$
$107$	14.5720	−	22.6744i	0.136187	−	0.211910i	0.902648	+	0.430380i	$0.141621\pi$
$108$	4.88052	−	1.43305i	0.0451900	−	0.0132690i
$109$	105.573	+	15.1791i	0.968558	+	0.139258i	0.608397	−	0.793633i	$-0.291813\pi$
$109$	105.573	+	15.1791i	0.968558	+	0.139258i	0.360160	+	0.932890i	$0.382722\pi$
$110$	45.3423	+	99.2858i	0.412203	+	0.902598i
$111$	−156.597	+	22.5152i	−1.41078	+	0.202840i
$112$	86.0074	+	133.830i	0.767924	+	1.19491i
$113$	−36.6331	−	31.7428i	−0.324187	−	0.280909i	0.477528	−	0.878617i	$-0.341533\pi$
$113$	−36.6331	−	31.7428i	−0.324187	−	0.280909i	−0.801714	+	0.597707i	$0.796078\pi$
$114$		−	85.1674i		−	0.747082i
$115$	−20.4799	−	156.956i	−0.178086	−	1.36483i
$116$	13.0826			0.112781
$117$	11.8209	−	13.6420i	0.101033	−	0.116598i
$118$	−82.5459	+	53.0491i	−0.699542	+	0.449568i
$119$	−2.86944	−	19.9574i	−0.0241129	−	0.167709i
$120$	211.521	−	96.5985i	1.76268	−	0.804988i
$121$	−9.19635	+	63.9620i	−0.0760029	+	0.528612i
$122$	45.3642	+	154.496i	0.371838	+	1.26636i
$123$	89.7496	+	57.6786i	0.729672	+	0.468931i
$124$	−9.17308	+	20.0863i	−0.0739765	+	0.161986i
$125$	−5.11468	+	17.4190i	−0.0409174	+	0.139352i
$126$	−164.725	+	142.735i	−1.30734	+	1.13282i
$127$	36.2263	+	41.8073i	0.285246	+	0.329192i	0.880231	−	0.474545i	$-0.157387\pi$
$127$	36.2263	+	41.8073i	0.285246	+	0.329192i	−0.594985	+	0.803737i	$0.702842\pi$
$128$	−139.692	−	41.0174i	−1.09135	−	0.320448i
$129$	−124.980	−	57.0763i	−0.968834	−	0.442452i
$130$	−12.4030	+	19.2994i	−0.0954074	+	0.148457i
$131$	−47.0701	+	13.8210i	−0.359314	+	0.105504i	−0.456407	−	0.889771i	$-0.650864\pi$
$131$	−47.0701	+	13.8210i	−0.359314	+	0.105504i	0.0970930	+	0.995275i	$0.469046\pi$
$132$	15.5079	+	2.22970i	0.117484	+	0.0168916i
$133$	33.4267	+	73.1942i	0.251328	+	0.550332i
$134$	117.422	−	16.8828i	0.876285	−	0.125991i
$135$	41.0047	+	63.8045i	0.303738	+	0.472626i
$136$	12.6236	+	10.9384i	0.0928207	+	0.0804296i
$137$			101.458i			0.740572i	0.928918	+	0.370286i	$0.120740\pi$
$137$			101.458i			0.740572i	−0.928918	+	0.370286i	$0.879260\pi$
$138$	−198.573	−	93.8361i	−1.43893	−	0.679972i
$139$	−26.6200			−0.191511			−0.0957555	−	0.995405i	$-0.530527\pi$
$139$	−26.6200			−0.191511			−0.0957555	+	0.995405i	$0.530527\pi$
$140$	18.7662	−	21.6574i	0.134044	−	0.154695i
$141$	238.563	−	153.315i	1.69194	−	1.08734i
$142$	−18.8790	−	131.306i	−0.132951	−	0.924693i
$143$	10.7792	−	4.92271i	0.0753792	−	0.0344245i
$144$	28.7026	−	199.631i	0.199324	−	1.38633i
$145$	54.9581	+	187.170i	0.379021	+	1.29083i
$146$	120.571	+	77.4864i	0.825831	+	0.530729i
$147$	60.8370	−	133.214i	0.413857	−	0.906221i
$148$	4.55052	−	15.4977i	0.0307468	−	0.104714i
$149$	−63.7653	+	55.2530i	−0.427955	+	0.370825i	−0.842042	−	0.539412i	$-0.818647\pi$
$149$	−63.7653	+	55.2530i	−0.427955	+	0.370825i	0.414087	+	0.910237i	$0.364101\pi$
$150$	−139.836	−	161.380i	−0.932242	−	1.07587i
$151$	239.883	+	70.4361i	1.58863	+	0.466464i	0.952354	−	0.304996i	$-0.0986552\pi$
$151$	239.883	+	70.4361i	1.58863	+	0.466464i	0.636277	+	0.771460i	$0.280473\pi$
$152$	−60.6367	−	27.6919i	−0.398926	−	0.182183i
$153$	−13.8197	+	21.5039i	−0.0903251	+	0.140549i
$154$	−137.292	+	40.3126i	−0.891506	+	0.261770i
$155$	−325.904	−	46.8580i	−2.10261	−	0.302309i
$156$	1.36796	+	2.99541i	0.00876896	+	0.0192013i
$157$	−108.455	+	15.5935i	−0.690796	+	0.0993215i	−0.478767	−	0.877942i	$-0.658916\pi$
$157$	−108.455	+	15.5935i	−0.690796	+	0.0993215i	−0.212029	+	0.977263i	$0.568007\pi$
$158$	−73.4706	−	114.322i	−0.465003	−	0.723560i
$159$	91.8771	+	79.6120i	0.577844	+	0.500704i
$160$			50.5773i			0.316108i
$161$	207.486	+	2.70801i	1.28873	+	0.0168199i
$162$	−112.196			−0.692571
$163$	168.654	−	194.637i	1.03469	−	1.19409i	0.0539941	−	0.998541i	$-0.482805\pi$
$163$	168.654	−	194.637i	1.03469	−	1.19409i	0.980693	−	0.195552i	$-0.0626498\pi$
$164$	−9.16286	+	5.88861i	−0.0558711	+	0.0359062i
$165$	33.2465	+	231.234i	0.201494	+	1.40142i
$166$	109.503	−	50.0084i	0.659657	−	0.301255i
$167$	22.2327	−	154.632i	0.133130	−	0.925941i	−0.808309	−	0.588758i	$-0.799617\pi$
$167$	22.2327	−	154.632i	0.133130	−	0.925941i	0.941439	−	0.337183i	$-0.109474\pi$
$168$	85.8830	+	292.491i	0.511208	+	1.74102i
$169$	−140.077	−	90.0217i	−0.828855	−	0.532673i
$170$	13.4955	−	29.5511i	0.0793855	−	0.173830i
$171$	28.7404	−	97.8807i	0.168072	−	0.572402i
$172$	10.6011	−	9.18588i	0.0616342	−	0.0534063i
$173$	−109.758	−	126.667i	−0.634438	−	0.732180i	0.343943	−	0.938990i	$-0.388237\pi$
$173$	−109.758	−	126.667i	−0.634438	−	0.732180i	−0.978381	+	0.206810i	$0.933692\pi$
$174$	259.705	+	76.2563i	1.49256	+	0.438255i
$175$	183.516	+	83.8091i	1.04866	+	0.478909i
$176$	71.5818	−	111.383i	0.406715	−	0.632860i
$177$	−201.504	+	59.1671i	−1.13844	+	0.334277i
$178$	99.0297	+	14.2383i	0.556346	+	0.0799905i
$179$	−54.6192	−	119.599i	−0.305135	−	0.668153i	0.693496	−	0.720461i	$-0.256070\pi$
$179$	−54.6192	−	119.599i	−0.305135	−	0.668153i	−0.998631	+	0.0523074i	$0.983342\pi$
$180$	−35.9608	+	5.17038i	−0.199782	+	0.0287243i
$181$	−78.4975	−	122.144i	−0.433688	−	0.674831i	0.553778	−	0.832664i	$-0.313186\pi$
$181$	−78.4975	−	122.144i	−0.433688	−	0.674831i	−0.987466	+	0.157833i	$0.949549\pi$
$182$	−22.7288	−	19.6946i	−0.124883	−	0.108212i
$183$			344.628i			1.88321i
$184$	−131.374	+	110.868i	−0.713988	+	0.602541i
$185$	240.838			1.30183
$186$	−299.176	+	345.267i	−1.60847	+	1.85627i
$187$	−14.1169	+	9.07240i	−0.0754916	+	0.0485155i
$188$	4.12027	+	28.6571i	0.0219163	+	0.152431i
$189$	−90.4424	+	41.3037i	−0.478531	+	0.218538i
$190$	−18.4511	+	128.330i	−0.0971110	+	0.675422i
$191$	−77.2796	−	263.190i	−0.404605	−	1.37796i	−0.870085	−	0.492901i	$-0.835936\pi$
$191$	−77.2796	−	263.190i	−0.404605	−	1.37796i	0.465480	−	0.885059i	$-0.345882\pi$
$192$	−209.209	−	134.450i	−1.08963	−	0.700263i
$193$	−97.7854	+	214.120i	−0.506660	+	1.10943i	0.467587	+	0.883947i	$0.345123\pi$
$193$	−97.7854	+	214.120i	−0.506660	+	1.10943i	−0.974247	+	0.225483i	$0.927604\pi$
$194$	73.6203	−	250.728i	0.379486	−	1.29241i
$195$	−37.1081	+	32.1543i	−0.190298	+	0.164894i
$196$	9.79114	+	11.2996i	0.0499548	+	0.0576509i
$197$	314.375	+	92.3089i	1.59581	+	0.468573i	0.954377	−	0.298604i	$-0.0965210\pi$
$197$	314.375	+	92.3089i	1.59581	+	0.468573i	0.641436	+	0.767177i	$0.278339\pi$
$198$	165.011	+	75.3581i	0.833390	+	0.380596i
$199$	−156.838	+	244.045i	−0.788130	+	1.22635i	0.181887	+	0.983319i	$0.441779\pi$
$199$	−156.838	+	244.045i	−0.788130	+	1.22635i	−0.970017	+	0.243035i	$0.921857\pi$
$200$	−160.365	+	47.0874i	−0.801825	+	0.235437i
$201$	251.318	+	36.1341i	1.25034	+	0.179772i
$202$	−130.231	−	285.167i	−0.644710	−	1.41172i
$203$	−253.124	+	36.3937i	−1.24692	+	0.179279i
$204$	−2.52110	−	3.92291i	−0.0123583	−	0.0192300i
$205$	−122.739	−	106.354i	−0.598726	−	0.518799i
$206$			247.431i			1.20112i
$207$	−196.549	−	174.853i	−0.949512	−	0.844702i
$208$	27.8284			0.133790
$209$	43.8557	−	50.6122i	0.209836	−	0.242164i
$210$	498.768	−	320.539i	2.37509	−	1.52638i
$211$	20.7863	+	144.572i	0.0985133	+	0.685175i	0.977901	+	0.209069i	$0.0670432\pi$
$211$	20.7863	+	144.572i	0.0985133	+	0.685175i	−0.879388	+	0.476106i	$0.842048\pi$
$212$	−11.2900	+	5.15597i	−0.0532547	+	0.0243206i
$213$	40.4067	−	281.035i	0.189703	−	1.31941i
$214$	16.0394	+	54.6253i	0.0749506	+	0.255258i
$215$	175.954	+	113.079i	0.818390	+	0.525947i
$216$	34.2175	−	74.9258i	0.158414	−	0.346879i
$217$	121.605	−	414.149i	0.560392	−	1.90852i
$218$	−170.261	+	147.532i	−0.781015	+	0.676753i
$219$	200.881	+	231.830i	0.917267	+	1.05858i
$220$	−22.8842	−	6.71941i	−0.104019	−	0.0305428i
$221$	−3.20829	−	1.46518i	−0.0145172	−	0.00662976i
$222$	180.666	−	281.122i	0.813813	−	1.26632i
$223$	169.802	−	49.8583i	0.761443	−	0.223580i	0.122117	−	0.992516i	$-0.461032\pi$
$223$	169.802	−	49.8583i	0.761443	−	0.223580i	0.639326	+	0.768936i	$0.279213\pi$
$224$	−65.6288	−	9.43599i	−0.292986	−	0.0421250i
$225$	−106.252	−	232.658i	−0.472229	−	1.03404i
$226$	101.343	−	14.5710i	0.448422	−	0.0644734i
$227$	178.728	+	278.106i	0.787347	+	1.22514i	0.970274	+	0.242009i	$0.0778065\pi$
$227$	178.728	+	278.106i	0.787347	+	1.22514i	−0.182927	+	0.983127i	$0.558557\pi$
$228$	14.0645	+	12.1869i	0.0616863	+	0.0534515i
$229$		−	401.582i		−	1.75364i	−0.480823	−	0.876818i	$-0.659662\pi$
$229$		−	401.582i		−	1.75364i	0.480823	−	0.876818i	$-0.340338\pi$
$230$	278.880	+	184.412i	1.21252	+	0.801791i
$231$	−306.251			−1.32576
$232$	138.734	−	160.108i	0.597993	−	0.690121i
$233$	−143.677	+	92.3354i	−0.616638	+	0.396289i	−0.811341	−	0.584573i	$-0.801262\pi$
$233$	−143.677	+	92.3354i	−0.616638	+	0.396289i	0.194703	+	0.980862i	$0.437626\pi$
$234$	5.42616	+	37.7398i	0.0231887	+	0.161281i
$235$	−392.682	+	179.332i	−1.67099	+	0.763114i
$236$	3.05135	−	21.2226i	0.0129294	−	0.0899262i
$237$	−81.9437	−	279.075i	−0.345754	−	1.17753i
$238$	35.8275	+	23.0249i	0.150536	+	0.0967434i
$239$	−12.2155	+	26.7483i	−0.0511110	+	0.111917i	−0.933465	−	0.358669i	$-0.883231\pi$
$239$	−12.2155	+	26.7483i	−0.0511110	+	0.111917i	0.882354	+	0.470587i	$0.155958\pi$
$240$	−154.561	+	526.386i	−0.644003	+	2.19327i
$241$	−242.128	+	209.805i	−1.00468	+	0.870561i	−0.991599	−	0.129353i	$-0.958710\pi$
$241$	−242.128	+	209.805i	−1.00468	+	0.870561i	−0.0130828	+	0.999914i	$0.504164\pi$
$242$	−89.3834	−	103.154i	−0.369353	−	0.426256i
$243$	−325.575	−	95.5975i	−1.33982	−	0.393405i
$244$	−32.0047	−	14.6161i	−0.131167	−	0.0599019i
$245$	−120.529	+	187.547i	−0.491957	+	0.765500i
$246$	−216.217	+	63.4871i	−0.878932	+	0.258078i
$247$	13.9325	+	2.00319i	0.0564069	+	0.00811009i
$248$	148.544	+	325.267i	0.598969	+	1.31156i
$249$	255.030	−	36.6678i	1.02422	−	0.147260i
$250$	−20.7316	−	32.2590i	−0.0829264	−	0.129036i
$251$	172.587	+	149.547i	0.687596	+	0.595805i	0.926976	−	0.375121i	$-0.122399\pi$
$251$	172.587	+	149.547i	0.687596	+	0.595805i	−0.239380	+	0.970926i	$0.576944\pi$
$252$		−	47.6271i		−	0.188996i
$253$	−69.6858	−	158.016i	−0.275438	−	0.624569i
$254$	−116.847			−0.460027
$255$	45.5335	−	52.5484i	0.178563	−	0.206072i
$256$	73.5949	−	47.2966i	0.287480	−	0.184752i
$257$	23.8384	+	165.800i	0.0927564	+	0.645135i	0.982165	+	0.188022i	$0.0602075\pi$
$257$	23.8384	+	165.800i	0.0927564	+	0.645135i	−0.889409	+	0.457113i	$0.848883\pi$
$258$	263.987	−	120.559i	1.02320	−	0.467282i
$259$	−44.9321	+	312.509i	−0.173483	+	1.20660i
$260$	−1.41230	−	4.80984i	−0.00543191	−	0.0184994i
$261$	272.739	+	175.279i	1.04498	+	0.671566i
$262$	43.0455	−	94.2566i	0.164296	−	0.359758i
$263$	27.4272	−	93.4084i	0.104286	−	0.355165i	−0.890773	−	0.454448i	$-0.849837\pi$
$263$	27.4272	−	93.4084i	0.104286	−	0.355165i	0.995059	+	0.0992828i	$0.0316548\pi$
$264$	191.741	−	166.144i	0.726291	−	0.629335i
$265$	−121.193	−	139.864i	−0.457331	−	0.527789i
$266$	−163.078	−	47.8840i	−0.613075	−	0.180015i
$267$	194.782	+	88.9538i	0.729520	+	0.333160i
$268$	−14.0144	+	21.8068i	−0.0522926	+	0.0813688i
$269$	186.480	−	54.7556i	0.693235	−	0.203552i	0.0839109	−	0.996473i	$-0.473259\pi$
$269$	186.480	−	54.7556i	0.693235	−	0.203552i	0.609324	+	0.792921i	$0.291441\pi$
$270$	−158.571	−	22.7991i	−0.587301	−	0.0844411i
$271$	−1.01988	−	2.23323i	−0.00376340	−	0.00824070i	0.907741	−	0.419531i	$-0.137805\pi$
$271$	−1.01988	−	2.23323i	−0.00376340	−	0.00824070i	−0.911504	+	0.411290i	$0.865078\pi$
$272$	−39.0065	+	5.60828i	−0.143406	+	0.0206187i
$273$	−34.8001	−	54.1501i	−0.127473	−	0.198352i
$274$	−161.960	−	140.339i	−0.591096	−	0.512188i
$275$		−	167.909i		−	0.610580i
$276$	43.9106	−	19.3648i	0.159096	−	0.0701623i
$277$	180.964			0.653299			0.326650	−	0.945145i	$-0.394080\pi$
$277$	180.964			0.653299			0.326650	+	0.945145i	$0.394080\pi$
$278$	36.8214	−	42.4941i	0.132451	−	0.152857i
$279$	−460.348	+	295.848i	−1.64999	+	1.06039i
$280$	−66.0418	−	459.331i	−0.235863	−	1.64047i
$281$	302.749	−	138.261i	1.07740	−	0.492031i	0.203966	−	0.978978i	$-0.434617\pi$
$281$	302.749	−	138.261i	1.07740	−	0.492031i	0.873431	+	0.486947i	$0.161890\pi$
$282$	−85.2451	+	592.893i	−0.302288	+	2.10246i
$283$	132.273	+	450.482i	0.467397	+	1.59181i	0.769575	+	0.638557i	$0.220468\pi$
$283$	132.273	+	450.482i	0.467397	+	1.59181i	−0.302178	+	0.953252i	$0.597714\pi$
$284$	24.3853	+	15.6715i	0.0858638	+	0.0551813i
$285$	−115.273	+	252.413i	−0.404467	+	0.885659i
$286$	−7.05183	+	24.0163i	−0.0246567	+	0.0839732i
$287$	160.903	−	139.423i	0.560637	−	0.485795i
$288$	55.0466	+	63.5272i	0.191134	+	0.220580i
$289$	−272.501	−	80.0136i	−0.942911	−	0.276864i
$290$	−374.803	−	171.167i	−1.29242	−	0.590230i
$291$	302.373	−	470.502i	1.03908	−	1.61684i
$292$	−30.0491	+	8.82321i	−0.102908	+	0.0302165i
$293$	−140.810	−	20.2455i	−0.480582	−	0.0690972i	−0.102233	−	0.994760i	$-0.532599\pi$
$293$	−140.810	−	20.2455i	−0.480582	−	0.0690972i	−0.378348	+	0.925663i	$0.623508\pi$
$294$	128.502	+	281.381i	0.437082	+	0.957077i
$295$	316.445	−	45.4979i	1.07269	−	0.154230i
$296$	−141.408	−	220.035i	−0.477730	−	0.743362i
$297$	62.5390	+	54.1903i	0.210569	+	0.182459i
$298$		−	178.217i		−	0.598044i
$299$	20.0212	−	30.2774i	0.0669605	−	0.101262i
$300$	46.6599			0.155533
$301$	−179.557	+	207.220i	−0.596535	+	0.688439i
$302$	−444.250	+	285.502i	−1.47103	+	0.945372i
$303$	−95.4899	−	664.147i	−0.315148	−	2.19190i
$304$	143.057	−	65.3320i	0.470583	−	0.214908i
$305$	74.6618	−	519.285i	0.244793	−	1.70257i
$306$	−15.2115	−	51.8055i	−0.0497106	−	0.169299i
$307$	−205.076	−	131.795i	−0.668001	−	0.429298i	0.162203	−	0.986757i	$-0.448140\pi$
$307$	−205.076	−	131.795i	−0.668001	−	0.429298i	−0.830204	+	0.557459i	$0.811776\pi$
$308$	12.9885	−	28.4408i	0.0421704	−	0.0923402i
$309$	−149.199	+	508.125i	−0.482845	+	1.64442i
$310$	525.598	−	455.433i	1.69548	−	1.46914i
$311$	42.6516	+	49.2226i	0.137143	+	0.158272i	0.820167	−	0.572125i	$-0.193881\pi$
$311$	42.6516	+	49.2226i	0.137143	+	0.158272i	−0.683023	+	0.730397i	$0.739335\pi$
$312$	51.1650	+	15.0234i	0.163990	+	0.0481519i
$313$	−92.4442	−	42.2178i	−0.295349	−	0.134881i	0.262230	−	0.965005i	$-0.415542\pi$
$313$	−92.4442	−	42.2178i	−0.295349	−	0.134881i	−0.557579	+	0.830124i	$0.688269\pi$
$314$	125.125	−	194.698i	0.398488	−	0.620059i
$315$	681.390	−	200.074i	2.16314	−	0.635156i
$316$	29.3923	+	4.22598i	0.0930137	+	0.0133733i
$317$	235.108	+	514.815i	0.741666	+	1.62402i	0.780795	+	0.624787i	$0.214814\pi$
$317$	235.108	+	514.815i	0.741666	+	1.62402i	−0.0391290	+	0.999234i	$0.512458\pi$
$318$	−254.173	+	36.5445i	−0.799286	+	0.114920i
$319$	115.067	+	179.048i	0.360712	+	0.561279i
$320$	286.108	+	247.914i	0.894087	+	0.774731i
$321$			121.850i			0.379595i
$322$	−291.321	+	327.468i	−0.904725	+	1.01698i
$323$	−19.9326			−0.0617108
$324$	16.0546	−	18.5280i	0.0495514	−	0.0571853i
$325$	29.6891	−	19.0800i	0.0913511	−	0.0587078i
$326$	77.4178	+	538.453i	0.237478	+	1.65169i
$327$	−438.609	+	200.306i	−1.34131	+	0.612557i
$328$	−25.1012	+	174.583i	−0.0765282	+	0.532265i
$329$	−159.439	−	542.998i	−0.484616	−	1.65045i
$330$	−415.112	−	266.776i	−1.25791	−	0.808413i
$331$	67.0397	−	146.796i	0.202537	−	0.443494i	−0.780921	−	0.624629i	$-0.785250\pi$
$331$	67.0397	−	146.796i	0.202537	−	0.443494i	0.983458	+	0.181136i	$0.0579773\pi$
$332$	−7.41089	+	25.2392i	−0.0223220	+	0.0760216i
$333$	302.502	−	262.120i	0.908415	−	0.787146i
$334$	216.090	+	249.381i	0.646976	+	0.746650i
$335$	−370.858	−	108.894i	−1.10704	−	0.325056i
$336$	−654.199	−	298.763i	−1.94702	−	0.889174i
$337$	−327.796	+	510.061i	−0.972689	+	1.51353i	−0.118906	+	0.992906i	$0.537939\pi$
$337$	−327.796	+	510.061i	−0.972689	+	1.51353i	−0.853783	+	0.520628i	$0.825698\pi$
$338$	337.461	−	99.0874i	0.998404	−	0.293158i
$339$	216.905	+	31.1862i	0.639838	+	0.0919948i
$340$	2.94892	+	6.45723i	0.00867328	+	0.0189918i
$341$	−355.581	+	51.1248i	−1.04276	+	0.149926i
$342$	116.495	+	181.270i	0.340628	+	0.530028i
$343$	113.222	+	98.1076i	0.330094	+	0.286028i
$344$		−	227.150i		−	0.660320i
$345$	461.509	+	546.871i	1.33771	+	1.58513i
$346$	354.021			1.02318
$347$	12.0307	−	13.8842i	0.0346707	−	0.0400121i	−0.738149	−	0.674637i	$-0.764300\pi$
$347$	12.0307	−	13.8842i	0.0346707	−	0.0400121i	0.772820	+	0.634625i	$0.218846\pi$
$348$	−49.7552	+	31.9757i	−0.142975	+	0.0918842i
$349$	−41.4184	−	288.071i	−0.118677	−	0.825419i	−0.959015	−	0.283356i	$-0.908552\pi$
$349$	−41.4184	−	288.071i	−0.118677	−	0.825419i	0.840337	−	0.542064i	$-0.182357\pi$
$350$	−387.630	+	177.025i	−1.10751	+	0.505785i
$351$	−2.47524	+	17.2157i	−0.00705198	+	0.0490476i
$352$	15.5468	+	52.9475i	0.0441670	+	0.150419i
$353$	149.223	+	95.9000i	0.422729	+	0.271671i	0.734663	−	0.678433i	$-0.237340\pi$
$353$	149.223	+	95.9000i	0.422729	+	0.271671i	−0.311934	+	0.950104i	$0.600977\pi$
$354$	184.276	−	403.507i	0.520552	−	1.13985i
$355$	−121.770	+	414.709i	−0.343013	+	1.16819i
$356$	−16.5219	+	14.3163i	−0.0464097	+	0.0402143i
$357$	59.6915	+	68.8877i	0.167203	+	0.192963i
$358$	266.470	+	78.2426i	0.744329	+	0.218555i
$359$	155.727	+	71.1182i	0.433780	+	0.198101i	0.620324	−	0.784346i	$-0.287001\pi$
$359$	155.727	+	71.1182i	0.433780	+	0.198101i	−0.186543	+	0.982447i	$0.559728\pi$
$360$	−318.069	+	494.925i	−0.883526	+	1.37479i
$361$	−270.051	+	79.2943i	−0.748065	+	0.219652i
$362$	303.561	+	43.6455i	0.838567	+	0.120568i
$363$	−121.357	−	265.734i	−0.334316	−	0.732050i
$364$	6.50471	−	0.935235i	0.0178701	−	0.00256933i
$365$	−252.463	−	392.841i	−0.691680	−	1.07628i
$366$	−550.137	−	476.696i	−1.50311	−	1.30245i
$367$		−	300.821i		−	0.819676i	−0.912158	−	0.409838i	$-0.865585\pi$
$367$		−	300.821i		−	0.819676i	0.912158	−	0.409838i	$-0.134415\pi$
$368$	5.29277	−	405.528i	0.0143825	−	1.10198i
$369$	−269.917			−0.731482
$370$	−333.132	+	384.455i	−0.900356	+	1.03907i
$371$	204.097	−	131.165i	0.550127	−	0.353545i
$372$	−14.2069	−	98.8113i	−0.0381907	−	0.265622i
$373$	277.245	−	126.613i	0.743284	−	0.339446i	−0.00752009	−	0.999972i	$-0.502394\pi$
$373$	277.245	−	126.613i	0.743284	−	0.339446i	0.750804	+	0.660526i	$0.229666\pi$
$374$	5.04436	−	35.0843i	0.0134876	−	0.0938083i
$375$	−23.1225	−	78.7480i	−0.0616600	−	0.209995i
$376$	394.405	+	253.469i	1.04895	+	0.674120i
$377$	−18.5832	+	40.6915i	−0.0492922	+	0.107935i
$378$	59.1679	−	201.507i	0.156529	−	0.533088i
$379$	−103.726	+	89.8788i	−0.273682	+	0.237147i	−0.780878	−	0.624684i	$-0.785228\pi$
$379$	−103.726	+	89.8788i	−0.273682	+	0.237147i	0.507195	+	0.861831i	$0.330682\pi$
$380$	−18.5521	−	21.4103i	−0.0488213	−	0.0563428i
$381$	−239.957	−	70.4577i	−0.629808	−	0.184928i
$382$	527.031	+	240.687i	1.37966	+	0.630071i
$383$	−99.7911	+	155.278i	−0.260551	+	0.405425i	−0.946741	−	0.321997i	$-0.895646\pi$
$383$	−99.7911	+	155.278i	−0.260551	+	0.405425i	0.686189	+	0.727423i	$0.259282\pi$
$384$	631.523	−	185.432i	1.64459	−	0.482895i
$385$	461.459	+	66.3477i	1.19859	+	0.172332i
$386$	−206.546	−	452.272i	−0.535093	−	1.17169i
$387$	344.076	−	49.4707i	0.889086	−	0.127831i
$388$	30.8704	+	48.0352i	0.0795628	+	0.123802i
$389$	−192.564	−	166.858i	−0.495023	−	0.428940i	0.371233	−	0.928540i	$-0.378935\pi$
$389$	−192.564	−	166.858i	−0.495023	−	0.428940i	−0.866256	+	0.499600i	$0.833480\pi$
$390$		−	103.713i		−	0.265931i
$391$	−21.9614	+	46.4740i	−0.0561673	+	0.118859i
$392$	242.117			0.617645
$393$	145.234	−	167.609i	0.369553	−	0.426487i
$394$	−582.205	+	374.160i	−1.47768	+	0.949646i
$395$	63.0126	+	438.262i	0.159525	+	1.10952i
$396$	−36.0567	+	16.4665i	−0.0910523	+	0.0415822i
$397$	−41.7622	+	290.463i	−0.105194	+	0.731644i	0.867142	+	0.498060i	$0.165954\pi$
$397$	−41.7622	+	290.463i	−0.105194	+	0.731644i	−0.972337	+	0.233583i	$0.924955\pi$
$398$	−172.632	−	587.932i	−0.433749	−	1.47721i
$399$	−306.023	−	196.669i	−0.766976	−	0.492905i
$400$	163.804	−	358.680i	0.409510	−	0.896701i
$401$	−26.7930	+	91.2487i	−0.0668156	+	0.227553i	−0.986131	−	0.165968i	$-0.946925\pi$
$401$	−26.7930	+	91.2487i	−0.0668156	+	0.227553i	0.919316	+	0.393521i	$0.128743\pi$
$402$	−405.311	+	351.204i	−1.00824	+	0.873641i
$403$	−49.4453	−	57.0630i	−0.122693	−	0.141595i
$404$	65.7276	+	19.2994i	0.162692	+	0.0477707i
$405$	332.520	+	151.857i	0.821036	+	0.374955i
$406$	292.030	−	454.408i	0.719286	−	1.11923i
$407$	252.124	−	74.0303i	0.619470	−	0.181893i
$408$	−74.7445	−	10.7466i	−0.183197	−	0.0263398i
$409$	−48.6458	−	106.519i	−0.118938	−	0.260439i	0.840794	−	0.541356i	$-0.182089\pi$
$409$	−48.6458	−	106.519i	−0.118938	−	0.260439i	−0.959732	+	0.280917i	$0.909361\pi$
$410$	339.550	−	48.8199i	0.828171	−	0.119073i
$411$	−247.978	−	385.862i	−0.603353	−	0.938836i
$412$	−40.8607	−	35.4060i	−0.0991764	−	0.0859368i
$413$			419.105i			1.01478i
$414$	550.993	−	71.8946i	1.33090	−	0.173658i
$415$	−392.223			−0.945116
$416$	−7.59535	+	8.76550i	−0.0182580	+	0.0210709i
$417$	101.240	−	65.0630i	0.242782	−	0.156026i
$418$	20.1312	+	140.016i	0.0481608	+	0.334966i
$419$	−383.641	+	175.203i	−0.915612	+	0.418146i	−0.816774	−	0.576958i	$-0.804240\pi$
$419$	−383.641	+	175.203i	−0.915612	+	0.418146i	−0.0988376	+	0.995104i	$0.531512\pi$
$420$	−18.4372	+	128.233i	−0.0438981	+	0.305318i
$421$	−102.153	−	347.903i	−0.242645	−	0.826372i	−0.987292	−	0.158914i	$-0.949201\pi$
$421$	−102.153	−	347.903i	−0.242645	−	0.826372i	0.744648	−	0.667458i	$-0.232618\pi$
$422$	−259.535	−	166.793i	−0.615013	−	0.395245i
$423$	−298.046	+	652.630i	−0.704600	+	1.54286i
$424$	−56.6247	+	192.846i	−0.133549	+	0.454826i
$425$	−37.7693	+	32.7273i	−0.0888690	+	0.0770054i
$426$	392.731	+	453.235i	0.921903	+	1.06393i
$427$	659.891	+	193.761i	1.54541	+	0.453774i
$428$	−11.3159	−	5.16781i	−0.0264391	−	0.0120743i
$429$	−28.9633	+	45.0677i	−0.0675134	+	0.105053i
$430$	−423.893	+	124.466i	−0.985798	+	0.289456i
$431$	−720.913	−	103.652i	−1.67265	−	0.240491i	−0.760204	−	0.649684i	$-0.774901\pi$
$431$	−720.913	−	103.652i	−1.67265	−	0.240491i	−0.912448	+	0.409193i	$0.865810\pi$
$432$	80.7275	+	176.769i	0.186869	+	0.409187i
$433$	723.497	−	104.023i	1.67089	−	0.240238i	0.759125	−	0.650944i	$-0.225627\pi$
$433$	723.497	−	104.023i	1.67089	−	0.240238i	0.911768	+	0.410706i	$0.134718\pi$
$434$	492.909	+	766.981i	1.13573	+	1.76724i
$435$	−666.483	−	577.511i	−1.53215	−	1.32761i
$436$		−	49.2278i		−	0.112908i
$437$	31.8413	−	202.650i	0.0728633	−	0.463729i
$438$	−647.938			−1.47931
$439$	−119.427	+	137.826i	−0.272044	+	0.313955i	−0.875289	−	0.483601i	$-0.839329\pi$
$439$	−119.427	+	137.826i	−0.272044	+	0.313955i	0.603245	+	0.797556i	$0.293874\pi$
$440$	−324.909	+	208.806i	−0.738430	+	0.474560i
$441$	52.7303	+	366.747i	0.119570	+	0.831627i
$442$	6.77667	−	3.09480i	0.0153318	−	0.00700182i
$443$	39.2877	−	273.252i	0.0886856	−	0.616822i	−0.896204	−	0.443641i	$-0.853686\pi$
$443$	39.2877	−	273.252i	0.0886856	−	0.616822i	0.984890	−	0.173181i	$-0.0554045\pi$
$444$	20.5721	+	70.0621i	0.0463335	+	0.157797i
$445$	−274.226	−	176.234i	−0.616237	−	0.396032i
$446$	−155.284	+	340.024i	−0.348169	+	0.762385i
$447$	107.463	−	365.987i	0.240410	−	0.818762i
$448$	−375.069	+	325.000i	−0.837209	+	0.725445i
$449$	183.272	+	211.508i	0.408179	+	0.471064i	0.922200	−	0.386714i	$-0.126390\pi$
$449$	183.272	+	211.508i	0.408179	+	0.471064i	−0.514021	+	0.857778i	$0.671845\pi$
$450$	518.367	+	152.206i	1.15193	+	0.338236i
$451$	−161.183	−	73.6096i	−0.357389	−	0.163214i
$452$	−12.0954	+	18.8208i	−0.0267597	+	0.0416389i
$453$	−1084.47	+	318.429i	−2.39397	+	0.702933i
$454$	−691.167	−	99.3748i	−1.52239	−	0.218887i
$455$	40.7055	+	89.1326i	0.0894626	+	0.195896i
$456$	298.293	−	42.8881i	0.654152	−	0.0940529i
$457$	−196.016	−	305.007i	−0.428919	−	0.667411i	0.557776	−	0.829991i	$-0.311655\pi$
$457$	−196.016	−	305.007i	−0.428919	−	0.667411i	−0.986695	+	0.162580i	$0.948018\pi$
$458$	641.055	+	555.477i	1.39968	+	1.21283i
$459$		−	24.6297i		−	0.0536595i
$460$	−70.3598	+	19.6658i	−0.152956	+	0.0427518i
$461$	−26.8513			−0.0582458			−0.0291229	−	0.999576i	$-0.509271\pi$
$461$	−26.8513			−0.0582458			−0.0291229	+	0.999576i	$0.509271\pi$
$462$	423.613	−	488.875i	0.916911	−	1.05817i
$463$	751.654	−	483.058i	1.62344	−	1.04332i	0.669728	−	0.742606i	$-0.266410\pi$
$463$	751.654	−	483.058i	1.62344	−	1.04332i	0.953714	−	0.300717i	$-0.0972259\pi$
$464$	71.1311	+	494.728i	0.153300	+	1.06622i
$465$	1353.99	−	618.347i	2.91181	−	1.32978i
$466$	51.3396	−	357.075i	0.110171	−	0.766255i
$467$	157.172	+	535.277i	0.336556	+	1.14620i	0.937811	+	0.347147i	$0.112849\pi$
$467$	157.172	+	535.277i	0.336556	+	1.14620i	−0.601255	+	0.799057i	$0.705332\pi$
$468$	−7.00877	−	4.50426i	−0.0149760	−	0.00962450i
$469$	210.489	−	460.907i	0.448804	−	0.982744i
$470$	256.894	−	874.902i	0.546584	−	1.86149i
$471$	374.358	−	324.383i	0.794816	−	0.688712i
$472$	−227.369	−	262.398i	−0.481714	−	0.555928i
$473$	218.959	+	64.2921i	0.462915	+	0.135924i
$474$	558.839	+	255.213i	1.17899	+	0.538425i
$475$	107.829	−	167.785i	0.227008	−	0.353231i
$476$	−8.92902	+	2.62180i	−0.0187584	+	0.00550798i
$477$	−304.446	−	43.7728i	−0.638253	−	0.0917669i
$478$	−25.8021	−	56.4987i	−0.0539793	−	0.118198i
$479$	507.300	−	72.9388i	1.05908	−	0.152273i	0.409305	−	0.912398i	$-0.365771\pi$
$479$	507.300	−	72.9388i	1.05908	−	0.152273i	0.649777	+	0.760125i	$0.274862\pi$
$480$	−123.618	−	192.353i	−0.257537	−	0.400736i
$481$	41.7393	+	36.1673i	0.0867762	+	0.0751920i
$482$		−	676.722i		−	1.40399i
$483$	−795.718	+	496.824i	−1.64745	+	1.02862i
$484$	29.8250			0.0616219
$485$	−557.547	+	643.444i	−1.14958	+	1.32669i
$486$	602.947	−	387.491i	1.24063	−	0.797306i
$487$	−32.8823	−	228.701i	−0.0675201	−	0.469613i	−0.995328	−	0.0965537i	$-0.969218\pi$
$487$	−32.8823	−	228.701i	−0.0675201	−	0.469613i	0.927808	−	0.373059i	$-0.121691\pi$
$488$	−518.269	+	236.686i	−1.06203	+	0.485011i
$489$	−165.697	+	1152.45i	−0.338849	+	2.35674i
$490$	−132.667	−	451.823i	−0.270750	−	0.922089i
$491$	−562.199	−	361.303i	−1.14501	−	0.735851i	−0.176368	−	0.984324i	$-0.556435\pi$
$491$	−562.199	−	361.303i	−1.14501	−	0.735851i	−0.968639	+	0.248473i	$0.920071\pi$
$492$	20.4552	−	44.7906i	0.0415756	−	0.0910378i
$493$	17.8470	−	60.7814i	0.0362009	−	0.123289i
$494$	−22.4695	+	19.4699i	−0.0454848	+	0.0394128i
$495$	−387.052	−	446.682i	−0.781923	−	0.902387i
$496$	−809.450	−	237.676i	−1.63195	−	0.479185i
$497$	−515.406	−	235.378i	−1.03703	−	0.473597i
$498$	−294.230	+	457.830i	−0.590822	+	0.919337i
$499$	349.214	−	102.538i	0.699827	−	0.205488i	0.0875838	−	0.996157i	$-0.472085\pi$
$499$	349.214	−	102.538i	0.699827	−	0.205488i	0.612243	+	0.790669i	$0.290267\pi$
$500$	8.29380	+	1.19247i	0.0165876	+	0.00238494i
$501$	293.388	+	642.429i	0.585604	+	1.28229i
$502$	−477.451	+	68.6470i	−0.951097	+	0.136747i
$503$	459.506	+	715.005i	0.913531	+	1.42148i	0.906826	+	0.421504i	$0.138498\pi$
$503$	459.506	+	715.005i	0.913531	+	1.42148i	0.00670435	+	0.999978i	$0.497866\pi$
$504$	−582.871	−	505.061i	−1.15649	−	1.00210i
$505$			1021.42i			2.02262i
$506$	348.635	+	107.330i	0.689003	+	0.212115i
$507$	752.758			1.48473
$508$	16.7201	−	19.2960i	0.0329136	−	0.0379843i
$509$	192.405	−	123.651i	0.378007	−	0.242930i	−0.337816	−	0.941212i	$-0.609688\pi$
$509$	192.405	−	123.651i	0.378007	−	0.242930i	0.715823	+	0.698282i	$0.246052\pi$
$510$	20.9014	+	145.372i	0.0409831	+	0.285043i
$511$	556.848	−	254.304i	1.08972	−	0.497660i
$512$	56.5808	−	393.528i	0.110509	−	0.768610i
$513$	27.6924	+	94.3116i	0.0539812	+	0.183843i
$514$	−297.643	−	191.284i	−0.579073	−	0.372148i
$515$	334.896	−	733.319i	0.650283	−	1.42392i
$516$	−17.8659	+	60.8458i	−0.0346239	+	0.117918i
$517$	−355.960	+	308.441i	−0.688511	+	0.596598i
$518$	−436.715	−	503.996i	−0.843079	−	0.972965i
$519$	727.018	+	213.472i	1.40080	+	0.411313i
$520$	−73.8407	−	33.7219i	−0.142001	−	0.0648498i
$521$	249.380	−	388.043i	0.478657	−	0.744804i	−0.515009	−	0.857185i	$-0.672211\pi$
$521$	249.380	−	388.043i	0.478657	−	0.744804i	0.993665	+	0.112381i	$0.0358476\pi$
$522$	−657.060	+	192.930i	−1.25874	+	0.369598i
$523$	535.838	+	77.0419i	1.02455	+	0.147308i	0.634047	−	0.773295i	$-0.281393\pi$
$523$	535.838	+	77.0419i	1.02455	+	0.147308i	0.390501	+	0.920603i	$0.372302\pi$
$524$	9.40591	+	20.5961i	0.0179502	+	0.0393055i
$525$	−902.781	+	129.800i	−1.71958	+	0.247239i
$526$	111.172	+	172.987i	0.211354	+	0.328873i
$527$	80.8064	+	70.0191i	0.153333	+	0.132864i
$528$			598.564i			1.13364i
$529$	−437.407	−	297.516i	−0.826857	−	0.562412i
$530$	390.905			0.737556
$531$	347.950	−	401.555i	0.655272	−	0.756225i
$532$	31.2430	−	20.0787i	0.0587275	−	0.0377419i
$533$	−5.30026	−	36.8641i	−0.00994421	−	0.0691635i
$534$	−411.425	+	187.892i	−0.770459	+	0.351857i
$535$	26.3982	−	183.604i	0.0493424	−	0.343184i
$536$	118.262	+	402.762i	0.220637	+	0.751422i
$537$	500.043	+	321.358i	0.931178	+	0.598432i
$538$	−170.536	+	373.422i	−0.316981	+	0.694092i
$539$	−68.5282	+	233.386i	−0.127140	+	0.432998i
$540$	26.4556	−	22.9239i	0.0489919	−	0.0424517i
$541$	318.190	+	367.211i	0.588152	+	0.678763i	0.969337	−	0.245735i	$-0.0790294\pi$
$541$	318.190	+	367.211i	0.588152	+	0.678763i	−0.381185	+	0.924499i	$0.624484\pi$
$542$	4.97568	+	1.46099i	0.00918021	+	0.00269555i
$543$	597.075	+	272.675i	1.09959	+	0.502164i
$544$	8.87971	−	13.8171i	0.0163230	−	0.0253991i
$545$	704.291	−	206.798i	1.29228	−	0.379447i
$546$	134.577	+	19.3493i	0.246479	+	0.0354383i
$547$	−55.1387	−	120.737i	−0.100802	−	0.220726i	0.852511	−	0.522709i	$-0.175079\pi$
$547$	−55.1387	−	120.737i	−0.100802	−	0.220726i	−0.953313	+	0.301983i	$0.902351\pi$
$548$	46.3511	−	6.66428i	0.0845823	−	0.0121611i
$549$	−471.393	−	733.502i	−0.858640	−	1.33607i
$550$	268.038	+	232.256i	0.487341	+	0.422284i
$551$			252.809i			0.458819i
$552$	228.659	−	742.742i	0.414237	−	1.34555i
$553$	−580.442			−1.04962
$554$	−250.313	+	288.877i	−0.451829	+	0.521438i
$555$	−915.942	+	588.640i	−1.65035	+	1.06061i
$556$	1.74853	+	12.1613i	0.00314484	+	0.0218729i
$557$	−341.396	+	155.911i	−0.612920	+	0.279911i	−0.697589	−	0.716498i	$-0.745744\pi$
$557$	−341.396	+	155.911i	−0.612920	+	0.279911i	0.0846693	+	0.996409i	$0.473017\pi$
$558$	164.495	−	1144.09i	0.294794	−	2.05033i
$559$	13.5130	+	46.0211i	0.0241735	+	0.0823275i
$560$	921.021	+	591.904i	1.64468	+	1.05697i
$561$	31.5146	−	69.0074i	0.0561758	−	0.123008i
$562$	−198.060	+	674.529i	−0.352419	+	1.20023i
$563$	−579.153	+	501.839i	−1.02869	+	0.891365i	−0.994147	−	0.108038i	$-0.965543\pi$
$563$	−579.153	+	501.839i	−1.02869	+	0.891365i	−0.0345438	+	0.999403i	$0.510998\pi$
$564$	−85.7118	−	98.9167i	−0.151971	−	0.175384i
$565$	−320.076	−	93.9827i	−0.566506	−	0.166341i
$566$	−902.078	−	411.965i	−1.59378	−	0.727853i
$567$	−259.085	+	403.144i	−0.456940	+	0.711013i
$568$	450.386	−	132.245i	0.792932	−	0.232826i
$569$	153.799	+	22.1130i	0.270297	+	0.0388629i	0.276131	−	0.961120i	$-0.410948\pi$
$569$	153.799	+	22.1130i	0.270297	+	0.0388629i	−0.00583329	+	0.999983i	$0.501857\pi$
$570$	−243.484	−	533.156i	−0.427165	−	0.935361i
$571$	−904.804	+	130.091i	−1.58460	+	0.227830i	−0.877602	−	0.479390i	$-0.840858\pi$
$571$	−904.804	+	130.091i	−1.58460	+	0.227830i	−0.706993	+	0.707220i	$0.749949\pi$
$572$	−2.95696	−	4.60113i	−0.00516952	−	0.00804393i
$573$	937.179	+	812.071i	1.63557	+	1.41723i
$574$			449.706i			0.783460i
$575$	−272.396	−	436.272i	−0.473732	−	0.758733i
$576$	629.185			1.09233
$577$	295.479	−	341.001i	0.512095	−	0.590989i	−0.439539	−	0.898224i	$-0.644858\pi$
$577$	295.479	−	341.001i	0.512095	−	0.590989i	0.951634	+	0.307235i	$0.0994036\pi$
$578$	504.657	−	324.323i	0.873109	−	0.561113i
$579$	−151.446	−	1053.33i	−0.261565	−	1.81923i
$580$	81.8984	−	37.4018i	0.141204	−	0.0644858i
$581$	73.1754	−	508.946i	0.125947	−	0.875983i
$582$	332.824	+	1133.49i	0.571862	+	1.94758i
$583$	−169.865	−	109.165i	−0.291363	−	0.187248i
$584$	−210.675	+	461.313i	−0.360745	+	0.789920i
$585$	34.9987	−	119.195i	0.0598269	−	0.203752i
$586$	227.090	−	196.775i	0.387526	−	0.335793i
$587$	−112.943	−	130.343i	−0.192407	−	0.222049i	0.651347	−	0.758780i	$-0.274204\pi$
$587$	−112.943	−	130.343i	−0.192407	−	0.222049i	−0.843753	+	0.536731i	$0.819659\pi$
$588$	−64.8549	−	19.0431i	−0.110297	−	0.0323863i
$589$	−388.148	−	177.261i	−0.658995	−	0.300953i
$590$	−365.084	+	568.082i	−0.618787	+	0.962851i
$591$	−1421.23	+	417.311i	−2.40479	+	0.706110i
$592$	610.796	+	87.8192i	1.03175	+	0.148343i
$593$	−337.546	−	739.122i	−0.569217	−	1.24641i	−0.947213	−	0.320604i	$-0.896114\pi$
$593$	−337.546	−	739.122i	−0.569217	−	1.24641i	0.377996	−	0.925807i	$-0.376613\pi$
$594$	−173.011	+	24.8752i	−0.291264	+	0.0418774i
$595$	−75.0189	−	116.732i	−0.126082	−	0.196188i
$596$	29.4307	+	25.5018i	0.0493803	+	0.0427883i
$597$		−	1311.47i		−	2.19677i
$598$	20.6387	+	73.8406i	0.0345129	+	0.123479i
$599$	684.830			1.14329			0.571644	−	0.820502i	$-0.306306\pi$
$599$	684.830			1.14329			0.571644	+	0.820502i	$0.306306\pi$
$600$	494.804	−	571.035i	0.824674	−	0.951725i
$601$	355.954	−	228.758i	0.592270	−	0.380629i	−0.209901	−	0.977723i	$-0.567314\pi$
$601$	355.954	−	228.758i	0.592270	−	0.380629i	0.802172	+	0.597094i	$0.203678\pi$
$602$	−82.4227	−	573.262i	−0.136915	−	0.952263i
$603$	−584.329	+	266.854i	−0.969037	+	0.442544i
$604$	16.4219	−	114.217i	0.0271886	−	0.189101i
$605$	125.290	+	426.700i	0.207091	+	0.705289i
$606$	1192.28	+	766.229i	1.96745	+	1.26441i
$607$	64.9526	−	142.226i	0.107006	−	0.234310i	−0.848553	−	0.529110i	$-0.822526\pi$
$607$	64.9526	−	142.226i	0.107006	−	0.234310i	0.955559	+	0.294800i	$0.0952530\pi$
$608$	−18.4668	+	62.8921i	−0.0303730	+	0.103441i
$609$	873.717	−	757.080i	1.43468	−	1.24315i
$610$	725.672	+	837.470i	1.18963	+	1.37290i
$611$	−94.9861	−	27.8904i	−0.155460	−	0.0456472i
$612$	10.7318	+	4.90104i	0.0175356	+	0.00800824i
$613$	460.427	−	716.438i	0.751104	−	1.16874i	−0.229609	−	0.973283i	$-0.573745\pi$
$613$	460.427	−	716.438i	0.751104	−	1.16874i	0.980712	−	0.195457i	$-0.0626190\pi$
$614$	494.052	−	145.067i	0.804646	−	0.236265i
$615$	726.738	+	104.489i	1.18169	+	0.169901i
$616$	−210.329	−	460.556i	−0.341443	−	0.747656i
$617$	−612.301	+	88.0357i	−0.992385	+	0.142683i	−0.619334	−	0.785128i	$-0.712597\pi$
$617$	−612.301	+	88.0357i	−0.992385	+	0.142683i	−0.373051	+	0.927811i	$0.621688\pi$
$618$	−604.756	−	941.019i	−0.978570	−	1.52269i
$619$	−100.882	−	87.4144i	−0.162975	−	0.141219i	0.569555	−	0.821953i	$-0.307115\pi$
$619$	−100.882	−	87.4144i	−0.162975	−	0.141219i	−0.732530	+	0.680734i	$0.761661\pi$
$620$			151.967i			0.245108i
$621$	250.404	+	39.3447i	0.403227	+	0.0633569i
$622$	−137.572			−0.221176
$623$	279.841	−	322.954i	0.449183	−	0.518385i
$624$	−105.836	+	68.0165i	−0.169609	+	0.109001i
$625$	97.3419	+	677.028i	0.155747	+	1.08324i
$626$	195.264	−	89.1741i	0.311923	−	0.142451i
$627$	−43.0868	+	299.675i	−0.0687190	+	0.477951i
$628$	14.2477	+	48.5233i	0.0226874	+	0.0772663i
$629$	−65.7939	−	42.2832i	−0.104601	−	0.0672229i
$630$	−623.130	+	1364.46i	−0.989095	+	2.16582i
$631$	−177.590	+	604.817i	−0.281443	+	0.958506i	0.690509	+	0.723324i	$0.257387\pi$
$631$	−177.590	+	604.817i	−0.281443	+	0.958506i	−0.971951	+	0.235182i	$0.924431\pi$
$632$	363.409	−	314.896i	0.575015	−	0.498253i
$633$	−432.407	−	499.024i	−0.683108	−	0.788348i
$634$	−1147.02	−	336.795i	−1.80918	−	0.531222i
$635$	346.303	+	158.151i	0.545358	+	0.249057i
$636$	30.3357	−	47.2032i	0.0476976	−	0.0742189i
$637$	−49.0534	+	14.4034i	−0.0770069	+	0.0226113i
$638$	−444.982	−	63.9787i	−0.697464	−	0.100280i
$639$	298.408	+	653.422i	0.466992	+	1.02257i
$640$	−991.751	+	142.592i	−1.54961	+	0.222800i
$641$	585.225	+	910.628i	0.912988	+	1.42064i	0.907222	+	0.420653i	$0.138199\pi$
$641$	585.225	+	910.628i	0.912988	+	1.42064i	0.00576621	+	0.999983i	$0.498165\pi$
$642$	−194.512	−	168.546i	−0.302978	−	0.262532i
$643$		−	343.823i		−	0.534717i	−0.963597	−	0.267359i	$-0.913849\pi$
$643$		−	343.823i		−	0.534717i	0.963597	−	0.267359i	$-0.0861509\pi$
$644$	−12.3915	−	94.9673i	−0.0192415	−	0.147465i
$645$	−945.559			−1.46598
$646$	27.5712	−	31.8188i	0.0426798	−	0.0492551i
$647$	−823.761	+	529.399i	−1.27320	+	0.818237i	−0.990033	−	0.140833i	$-0.955022\pi$
$647$	−823.761	+	529.399i	−1.27320	+	0.818237i	−0.283168	+	0.959070i	$0.591385\pi$
$648$	−56.4993	−	392.961i	−0.0871902	−	0.606421i
$649$	317.289	−	144.901i	0.488890	−	0.223268i
$650$	−10.6087	+	73.7853i	−0.0163211	+	0.113516i
$651$	549.754	+	1872.29i	0.844477	+	2.87602i
$652$	−99.9977	−	64.2646i	−0.153371	−	0.0985654i
$653$	−23.0092	+	50.3832i	−0.0352362	+	0.0771565i	−0.926432	−	0.376463i	$-0.877140\pi$
$653$	−23.0092	+	50.3832i	−0.0352362	+	0.0771565i	0.891195	+	0.453620i	$0.149867\pi$
$654$	286.940	−	977.229i	0.438747	−	1.49423i
$655$	−255.151	+	221.089i	−0.389543	+	0.337541i
$656$	−272.501	−	314.483i	−0.415398	−	0.479395i
$657$	−744.659	−	218.652i	−1.13342	−	0.332803i
$658$	1087.34	+	496.571i	1.65249	+	0.754668i
$659$	26.6846	−	41.5221i	0.0404926	−	0.0630077i	−0.820417	−	0.571765i	$-0.806259\pi$
$659$	26.6846	−	41.5221i	0.0404926	−	0.0630077i	0.860910	+	0.508758i	$0.169895\pi$
$660$	103.455	−	30.3772i	0.156750	−	0.0460261i
$661$	−95.5277	−	13.7348i	−0.144520	−	0.0207788i	0.0696751	−	0.997570i	$-0.477804\pi$
$661$	−95.5277	−	13.7348i	−0.144520	−	0.0207788i	−0.214195	+	0.976791i	$0.568713\pi$
$662$	141.604	+	310.069i	0.213903	+	0.468382i
$663$	15.7827	−	2.26921i	0.0238050	−	0.00342264i
$664$	230.294	+	358.345i	0.346829	+	0.539676i
$665$	418.508	+	362.640i	0.629336	+	0.545323i
$666$			845.460i			1.26946i
$667$	589.440	+	278.541i	0.883718	+	0.417603i
$668$	−72.1038			−0.107940
$669$	−523.922	+	604.638i	−0.783141	+	0.903793i
$670$	686.808	−	441.385i	1.02509	−	0.658783i
$671$	−81.4605	−	566.570i	−0.121402	−	0.844367i
$672$	272.659	−	124.519i	0.405743	−	0.185296i
$673$	54.9341	−	382.075i	0.0816257	−	0.567719i	−0.907433	−	0.420197i	$-0.861961\pi$
$673$	54.9341	−	382.075i	0.0816257	−	0.567719i	0.989059	−	0.147522i	$-0.0471299\pi$
$674$	−360.807	−	1228.80i	−0.535322	−	1.82314i
$675$	207.323	+	133.239i	0.307146	+	0.197390i
$676$	−31.9254	+	69.9068i	−0.0472269	+	0.103412i
$677$	251.753	−	857.393i	0.371866	−	1.26646i	−0.534932	−	0.844895i	$-0.679663\pi$
$677$	251.753	−	857.393i	0.371866	−	1.26646i	0.906798	−	0.421565i	$-0.138519\pi$
$678$	−349.811	+	303.113i	−0.515945	+	0.447069i
$679$	−730.909	−	843.515i	−1.07645	−	1.24229i
$680$	110.297	+	32.3861i	0.162201	+	0.0476266i
$681$	−1359.46	−	620.844i	−1.99627	−	0.911664i
$682$	410.235	−	638.339i	0.601518	−	0.935980i
$683$	−642.551	+	188.670i	−0.940778	+	0.276237i	−0.715942	−	0.698159i	$-0.754003\pi$
$683$	−642.551	+	188.670i	−0.940778	+	0.276237i	−0.224836	+	0.974397i	$0.572184\pi$
$684$	−46.6044	−	6.70071i	−0.0681352	−	0.00979636i
$685$	290.058	+	635.139i	0.423443	+	0.927211i
$686$	−313.223	+	45.0346i	−0.456593	+	0.0656481i
$687$	981.523	+	1527.28i	1.42871	+	2.22311i
$688$	405.009	+	350.942i	0.588676	+	0.510091i
$689$		−	42.4396i		−	0.0615959i
$690$	−1511.35	−	19.7255i	−2.19036	−	0.0285877i
$691$	481.207			0.696392			0.348196	−	0.937422i	$-0.386794\pi$
$691$	481.207			0.696392			0.348196	+	0.937422i	$0.386794\pi$
$692$	−50.6583	+	58.4628i	−0.0732056	+	0.0844838i
$693$	651.822	−	418.900i	0.940580	−	0.604474i
$694$	5.52250	+	38.4098i	0.00795749	+	0.0553456i
$695$	−166.644	+	76.1037i	−0.239775	+	0.109502i
$696$	−136.302	+	948.002i	−0.195836	+	1.36207i
$697$	14.8585	+	50.6035i	0.0213178	+	0.0726018i
$698$	517.146	+	332.349i	0.740896	+	0.476145i
$699$	320.744	−	702.331i	0.458861	−	1.00477i
$700$	26.2338	−	89.3441i	0.0374768	−	0.127634i
$701$	82.1853	−	71.2140i	0.117240	−	0.101589i	−0.594268	−	0.804267i	$-0.702558\pi$
$701$	82.1853	−	71.2140i	0.117240	−	0.101589i	0.711508	+	0.702678i	$0.248013\pi$
$702$	−24.0580	−	27.7644i	−0.0342707	−	0.0395504i
$703$	299.478	+	87.9346i	0.426000	+	0.125085i
$704$	375.721	+	171.586i	0.533695	+	0.243730i
$705$	1055.12	−	1641.79i	1.49662	−	2.32879i
$706$	−359.496	+	105.558i	−0.509201	+	0.149515i
$707$	−1325.39	−	190.563i	−1.87467	−	0.269537i
$708$	40.2662	+	88.1706i	0.0568731	+	0.124535i
$709$	747.136	−	107.422i	1.05379	−	0.151512i	0.406418	−	0.913687i	$-0.366778\pi$
$709$	747.136	−	107.422i	1.05379	−	0.151512i	0.647370	+	0.762175i	$0.275869\pi$
$710$	−493.575	−	768.018i	−0.695176	−	1.08172i
$711$	556.136	+	481.895i	0.782188	+	0.677770i
$712$			354.015i			0.497212i
$713$	−840.951	+	709.686i	−1.17945	+	0.995353i
$714$	−192.533			−0.269655
$715$	53.4055	−	61.6333i	0.0746930	−	0.0862004i
$716$	−51.0512	+	32.8086i	−0.0713005	+	0.0458221i
$717$	−18.9189	−	131.584i	−0.0263863	−	0.183520i
$718$	−328.933	+	150.219i	−0.458124	+	0.209218i
$719$	−93.2329	+	648.449i	−0.129670	+	0.901877i	0.816301	+	0.577627i	$0.196021\pi$
$719$	−93.2329	+	648.449i	−0.129670	+	0.901877i	−0.945971	+	0.324250i	$0.894888\pi$
$720$	−391.042	−	1331.77i	−0.543114	−	1.84968i
$721$	889.070	+	571.371i	1.23311	+	0.792470i
$722$	246.962	−	540.771i	0.342052	−	0.748990i
$723$	408.057	−	1389.72i	0.564395	−	1.92215i
$724$	−50.6454	+	43.8845i	−0.0699522	+	0.0606139i
$725$	415.088	+	479.037i	0.572535	+	0.660740i
$726$	592.061	+	173.845i	0.815511	+	0.239456i
$727$	−565.251	−	258.141i	−0.777512	−	0.355078i	−0.0131901	−	0.999913i	$-0.504199\pi$
$727$	−565.251	−	258.141i	−0.777512	−	0.355078i	−0.764322	+	0.644835i	$0.776926\pi$
$728$	57.5335	−	89.5238i	0.0790295	−	0.122972i
$729$	1013.17	−	297.495i	1.38981	−	0.408086i
$730$	976.313	+	140.373i	1.33741	+	0.192291i
$731$	−28.2156	−	61.7835i	−0.0385986	−	0.0845191i
$732$	157.443	−	22.6368i	0.215085	−	0.0309246i
$733$	−679.664	−	1057.58i	−0.927236	−	1.44281i	−0.896381	−	0.443284i	$-0.853813\pi$
$733$	−679.664	−	1057.58i	−0.927236	−	1.44281i	−0.0308548	−	0.999524i	$-0.509823\pi$
$734$	480.207	+	416.102i	0.654234	+	0.566897i
$735$		−	1007.86i		−	1.37124i
$736$	126.290	+	112.350i	0.171590	+	0.152649i
$737$	−421.710			−0.572198
$738$	373.355	−	430.875i	0.505901	−	0.583841i
$739$	−120.326	+	77.3291i	−0.162823	+	0.104640i	−0.619515	−	0.784985i	$-0.712671\pi$
$739$	−120.326	+	77.3291i	−0.162823	+	0.104640i	0.456692	+	0.889625i	$0.349034\pi$
$740$	−15.8194	−	110.026i	−0.0213776	−	0.148684i
$741$	−57.8835	+	26.4345i	−0.0781154	+	0.0356741i
$742$	−72.9294	+	507.235i	−0.0982876	+	0.683605i
$743$	−5.52759	−	18.8252i	−0.00743955	−	0.0253368i	0.955690	−	0.294376i	$-0.0951119\pi$
$743$	−5.52759	−	18.8252i	−0.00743955	−	0.0253368i	−0.963129	+	0.269040i	$0.913294\pi$
$744$	−1359.93	−	873.976i	−1.82787	−	1.17470i
$745$	−241.215	+	528.187i	−0.323778	+	0.708976i
$746$	−181.375	+	617.706i	−0.243130	+	0.828025i
$747$	−492.649	+	426.882i	−0.659503	+	0.571462i
$748$	5.07198	+	5.85338i	0.00678072	+	0.00782537i
$749$	233.318	+	68.5083i	0.311506	+	0.0914663i
$750$	157.691	+	72.0150i	0.210254	+	0.0960200i
$751$	−36.7646	+	57.2068i	−0.0489542	+	0.0761741i	−0.864868	−	0.501999i	$-0.832598\pi$
$751$	−36.7646	+	57.2068i	−0.0489542	+	0.0761741i	0.815914	+	0.578174i	$0.196234\pi$
$752$	−1061.28	+	311.621i	−1.41128	+	0.414390i
$753$	−1021.89	−	146.925i	−1.35709	−	0.195120i
$754$	−39.2521	−	85.9500i	−0.0520584	−	0.113992i
$755$	1703.06	−	244.863i	2.25571	−	0.324322i
$756$	24.8102	+	38.6055i	0.0328177	+	0.0510654i
$757$	−124.412	−	107.803i	−0.164349	−	0.142409i	0.568804	−	0.822473i	$-0.307406\pi$
$757$	−124.412	−	107.803i	−0.164349	−	0.142409i	−0.733152	+	0.680064i	$0.761952\pi$
$758$		−	289.902i		−	0.382456i
$759$	651.238	+	430.637i	0.858022	+	0.567374i
$760$	−458.760			−0.603631
$761$	−143.146	+	165.199i	−0.188102	+	0.217081i	−0.841966	−	0.539531i	$-0.818601\pi$
$761$	−143.146	+	165.199i	−0.188102	+	0.217081i	0.653864	+	0.756612i	$0.273147\pi$
$762$	444.387	−	285.590i	0.583185	−	0.374790i
$763$	136.944	+	952.465i	0.179481	+	1.24832i
$764$	−115.162	+	52.5927i	−0.150736	+	0.0688386i
$765$	−25.0355	+	174.126i	−0.0327262	+	0.227615i
$766$	−109.841	−	374.082i	−0.143395	−	0.488358i
$767$	61.6753	+	39.6363i	0.0804111	+	0.0516771i
$768$	−164.293	+	359.752i	−0.213924	+	0.468427i
$769$	−376.346	+	1281.72i	−0.489396	+	1.66673i	0.230832	+	0.972994i	$0.425855\pi$
$769$	−376.346	+	1281.72i	−0.489396	+	1.66673i	−0.720228	+	0.693737i	$0.755963\pi$
$770$	−744.212	+	644.863i	−0.966509	+	0.837485i
$771$	−495.898	−	572.297i	−0.643188	−	0.742279i
$772$	104.243	+	30.6086i	0.135030	+	0.0396485i
$773$	1339.09	+	611.540i	1.73232	+	0.791126i	0.993046	+	0.117726i	$0.0375604\pi$
$773$	1339.09	+	611.540i	1.73232	+	0.791126i	0.739278	+	0.673400i	$0.235167\pi$
$774$	−396.963	+	617.686i	−0.512872	+	0.798044i
$775$	−1026.53	+	301.416i	−1.32455	+	0.388924i
$776$	915.231	+	131.590i	1.17942	+	0.169575i
$777$	−592.932	−	1298.34i	−0.763105	−	1.67097i
$778$	532.717	−	76.5932i	0.684727	−	0.0984488i
$779$	−113.792	−	177.064i	−0.146074	−	0.227296i
$780$	17.1271	+	14.8407i	0.0219578	+	0.0190266i
$781$			471.574i			0.603808i
$782$	−43.8100	−	99.3413i	−0.0560230	−	0.127035i
$783$	−312.384			−0.398958
$784$	−374.066	+	431.695i	−0.477125	+	0.550631i
$785$	−634.359	+	407.678i	−0.808100	+	0.519335i
$786$	66.6673	+	463.681i	0.0848185	+	0.589925i
$787$	116.086	−	53.0146i	0.147504	−	0.0673628i	−0.340295	−	0.940319i	$-0.610527\pi$
$787$	116.086	−	53.0146i	0.147504	−	0.0673628i	0.487799	+	0.872956i	$0.337800\pi$
$788$	21.5215	−	149.685i	0.0273115	−	0.189956i
$789$	123.993	+	422.282i	0.157152	+	0.535212i
$790$	−786.768	−	505.625i	−0.995909	−	0.640032i
$791$	181.667	−	397.794i	0.229667	−	0.502901i
$792$	−180.842	+	615.890i	−0.228335	+	0.777638i
$793$	90.9221	−	78.7845i	0.114656	−	0.0993499i
$794$	−405.906	−	468.440i	−0.511216	−	0.589975i
$795$	802.762	+	235.712i	1.00976	+	0.296493i
$796$	121.793	+	55.6211i	0.153007	+	0.0698758i
$797$	211.836	−	329.623i	0.265791	−	0.413579i	−0.682546	−	0.730842i	$-0.739127\pi$
$797$	211.836	−	329.623i	0.265791	−	0.413579i	0.948338	+	0.317263i	$0.102764\pi$
$798$	737.246	−	216.475i	0.923867	−	0.271272i
$799$	138.761	+	19.9508i	0.173668	+	0.0249697i
$800$	68.2707	+	149.492i	0.0853383	+	0.186865i
$801$	−536.246	+	77.1005i	−0.669470	+	0.0962553i
$802$	−108.602	−	168.988i	−0.135414	−	0.210708i
$803$	−385.049	−	333.647i	−0.479513	−	0.415500i
$804$		−	117.188i		−	0.145756i
$805$	1306.62	−	576.226i	1.62313	−	0.715809i
$806$	159.485			0.197872
$807$	−575.383	+	664.027i	−0.712990	+	0.822834i
$808$	933.198	−	599.730i	1.15495	−	0.742240i
$809$	161.515	+	1123.36i	0.199647	+	1.38858i	0.805309	+	0.592855i	$0.201999\pi$
$809$	161.515	+	1123.36i	0.199647	+	1.38858i	−0.605662	+	0.795722i	$0.707092\pi$
$810$	−702.361	+	320.757i	−0.867112	+	0.395997i
$811$	35.8729	−	249.502i	0.0442329	−	0.307647i	−0.955679	−	0.294409i	$-0.904877\pi$
$811$	35.8729	−	249.502i	0.0442329	−	0.307647i	0.999912	−	0.0132376i	$-0.00421377\pi$
$812$	33.2528	+	113.249i	0.0409518	+	0.139469i
$813$	9.33708	+	6.00058i	0.0114847	+	0.00738079i
$814$	−230.567	+	504.872i	−0.283252	+	0.620236i
$815$	499.344	−	1700.61i	0.612692	−	2.08664i
$816$	134.640	−	116.666i	0.165000	−	0.142973i
$817$	177.509	+	204.856i	0.217269	+	0.250742i
$818$	237.327	+	69.6856i	0.290131	+	0.0851902i
$819$	148.137	+	67.6517i	0.180875	+	0.0826029i
$820$	−40.5255	+	63.0589i	−0.0494213	+	0.0769011i
$821$	699.431	−	205.371i	0.851926	−	0.250148i	0.173515	−	0.984831i	$-0.444487\pi$
$821$	699.431	−	205.371i	0.851926	−	0.250148i	0.678410	+	0.734683i	$0.262669\pi$
$822$	958.968	+	137.879i	1.16663	+	0.167736i
$823$	−64.6418	−	141.546i	−0.0785441	−	0.171987i	0.866286	−	0.499548i	$-0.166501\pi$
$823$	−64.6418	−	141.546i	−0.0785441	−	0.171987i	−0.944830	+	0.327561i	$0.893773\pi$
$824$	−866.613	+	124.600i	−1.05172	+	0.151214i
$825$	410.394	+	638.585i	0.497447	+	0.774043i
$826$	−669.027	−	579.715i	−0.809960	−	0.701835i
$827$			130.497i			0.157796i	0.996883	+	0.0788979i	$0.0251401\pi$
$827$			130.497i			0.157796i	−0.996883	+	0.0788979i	$0.974860\pi$
$828$	−66.9712	+	101.278i	−0.0808831	+	0.122317i
$829$	258.243			0.311511			0.155756	−	0.987796i	$-0.450219\pi$
$829$	258.243			0.311511			0.155756	+	0.987796i	$0.450219\pi$
$830$	542.531	−	626.115i	0.653652	−	0.754355i
$831$	−688.233	+	442.301i	−0.828199	+	0.532251i
$832$	12.3551	+	85.9314i	0.0148498	+	0.103283i
$833$	65.8543	−	30.0747i	0.0790568	−	0.0361040i
$834$	−36.1758	+	251.608i	−0.0433762	+	0.301688i
$835$	−302.897	−	1031.57i	−0.362751	−	1.23542i
$836$	−26.0028	−	16.7110i	−0.0311038	−	0.0199892i
$837$	219.033	−	479.615i	0.261688	−	0.573017i
$838$	250.980	−	854.760i	0.299499	−	1.02000i
$839$	429.532	−	372.192i	0.511957	−	0.443614i	−0.360174	−	0.932885i	$-0.617283\pi$
$839$	429.532	−	372.192i	0.511957	−	0.443614i	0.872132	+	0.489271i	$0.162737\pi$
$840$	1373.83	+	1585.49i	1.63552	+	1.88749i
$841$	36.0296	+	10.5793i	0.0428414	+	0.0125794i
$842$	696.666	+	318.157i	0.827394	+	0.377858i
$843$	−813.471	+	1265.79i	−0.964971	+	1.50152i
$844$	64.6821	−	18.9924i	0.0766376	−	0.0225028i
$845$	−1134.25	−	163.081i	−1.34231	−	0.192996i
$846$	−629.544	−	1378.51i	−0.744142	−	1.62944i
$847$	−577.058	+	82.9683i	−0.681296	+	0.0979555i
$848$	−256.361	−	398.905i	−0.302312	−	0.470407i
$849$	−1604.10	−	1389.96i	−1.88939	−	1.63717i
$850$		−	105.561i		−	0.124190i
$851$	534.985	−	601.365i	0.628655	−	0.706657i
$852$	−131.044			−0.153808
$853$	−885.923	+	1022.41i	−1.03860	+	1.19860i	−0.0588700	+	0.998266i	$0.518750\pi$
$853$	−885.923	+	1022.41i	−1.03860	+	1.19860i	−0.979727	+	0.200339i	$0.935796\pi$
$854$	−1222.08	+	785.384i	−1.43101	+	0.919653i
$855$	−99.9127	−	694.908i	−0.116857	−	0.812758i
$856$	−183.245	+	83.6850i	−0.214071	+	0.0977628i
$857$	197.533	−	1373.87i	0.230494	−	1.60312i	−0.465484	−	0.885056i	$-0.654120\pi$
$857$	197.533	−	1373.87i	0.230494	−	1.60312i	0.695978	−	0.718063i	$-0.254971\pi$
$858$	−31.8800	−	108.573i	−0.0371562	−	0.126542i
$859$	434.943	+	279.521i	0.506337	+	0.325403i	0.768747	−	0.639554i	$-0.220881\pi$
$859$	434.943	+	279.521i	0.506337	+	0.325403i	−0.262410	+	0.964957i	$0.584517\pi$
$860$	40.1023	−	87.8118i	0.0466306	−	0.102107i
$861$	−271.169	+	923.516i	−0.314946	+	1.07261i
$862$	1162.64	−	1007.44i	1.34877	−	1.16872i
$863$	339.876	+	392.238i	0.393831	+	0.454505i	0.917688	−	0.397301i	$-0.130053\pi$
$863$	339.876	+	392.238i	0.393831	+	0.454505i	−0.523858	+	0.851806i	$0.675508\pi$
$864$	−77.7126	−	22.8185i	−0.0899451	−	0.0264103i
$865$	−1049.22	−	479.164i	−1.21297	−	0.553946i
$866$	−834.702	+	1298.82i	−0.963859	+	1.49979i
$867$	1231.93	−	361.727i	1.42091	−	0.417216i
$868$	−197.191	−	28.3518i	−0.227179	−	0.0326633i
$869$	200.682	+	439.431i	0.230934	+	0.505675i
$870$	1843.79	−	265.097i	2.11930	−	0.304709i
$871$	−47.9201	−	74.5651i	−0.0550173	−	0.0856087i
$872$	−602.461	−	522.036i	−0.690896	−	0.598665i
$873$			1415.01i			1.62086i
$874$	279.451	+	331.138i	0.319738	+	0.378877i
$875$	−163.787			−0.187185
$876$	92.7161	−	107.000i	0.105840	−	0.122146i
$877$	480.003	−	308.479i	0.547324	−	0.351744i	−0.237573	−	0.971370i	$-0.576352\pi$
$877$	480.003	−	308.479i	0.547324	−	0.351744i	0.784897	+	0.619626i	$0.212716\pi$
$878$	−54.8210	−	381.289i	−0.0624386	−	0.434270i
$879$	585.006	−	267.163i	0.665536	−	0.303940i
$880$	129.676	−	901.915i	0.147359	−	1.02490i
$881$	64.9385	+	221.160i	0.0737099	+	0.251033i	0.988103	−	0.153795i	$-0.0491496\pi$
$881$	64.9385	+	221.160i	0.0737099	+	0.251033i	−0.914393	+	0.404828i	$0.867331\pi$
$882$	−658.385	−	423.118i	−0.746468	−	0.479726i
$883$	−442.707	+	969.393i	−0.501367	+	1.09784i	0.474656	+	0.880172i	$0.342573\pi$
$883$	−442.707	+	969.393i	−0.501367	+	1.09784i	−0.976023	+	0.217669i	$0.930155\pi$
$884$	−0.458628	+	1.56194i	−0.000518810	+	0.00176690i
$885$	−1092.29	+	946.471i	−1.23422	+	1.06946i
$886$	381.855	+	440.684i	0.430988	+	0.497386i
$887$	705.208	+	207.068i	0.795049	+	0.233447i	0.653940	−	0.756547i	$-0.273115\pi$
$887$	705.208	+	207.068i	0.795049	+	0.233447i	0.141109	+	0.989994i	$0.454933\pi$
$888$	1075.59	+	491.207i	1.21125	+	0.553161i
$889$	−269.824	+	419.854i	−0.303514	+	0.472277i
$890$	660.641	−	193.982i	0.742293	−	0.217957i
$891$	394.782	+	56.7610i	0.443077	+	0.0637048i
$892$	−33.9311	−	74.2988i	−0.0380394	−	0.0832946i
$893$	−553.771	+	79.6203i	−0.620125	+	0.0891605i
$894$	435.587	+	677.787i	0.487234	+	0.758151i
$895$	−683.843	−	592.554i	−0.764071	−	0.662071i
$896$		−	1313.49i		−	1.46595i
$897$	−2.14155	+	164.084i	−0.00238746	+	0.182925i
$898$	−591.140			−0.658285
$899$	888.068	−	1024.88i	0.987840	−	1.14003i
$900$	−99.3105	+	63.8230i	−0.110345	+	0.0709144i
$901$	8.55289	+	59.4866i	0.00949266	+	0.0660229i
$902$	340.456	−	155.481i	0.377446	−	0.172374i
$903$	176.409	−	1226.95i	0.195359	−	1.35875i
$904$	102.068	+	347.611i	0.112907	+	0.384526i
$905$	−840.599	−	540.220i	−0.928839	−	0.596928i
$906$	991.745	−	2171.62i	1.09464	−	2.39693i
$907$	−140.535	+	478.620i	−0.154945	+	0.527696i	−0.999975	−	0.00702340i	$-0.997764\pi$
$907$	−140.535	+	478.620i	−0.154945	+	0.527696i	0.845030	+	0.534719i	$0.179583\pi$
$908$	115.313	−	99.9189i	0.126996	−	0.110043i
$909$	1111.68	+	1282.95i	1.22297	+	1.41139i
$910$	−198.589	−	58.3110i	−0.218230	−	0.0640780i
$911$	−1152.35	−	526.259i	−1.26493	−	0.577672i	−0.333894	−	0.942611i	$-0.608363\pi$
$911$	−1152.35	−	526.259i	−1.26493	−	0.577672i	−0.931032	+	0.364939i	$0.881090\pi$
$912$	−384.388	+	598.119i	−0.421478	+	0.655832i
$913$	−410.604	+	120.564i	−0.449731	+	0.132053i
$914$	758.023	+	108.987i	0.829347	+	0.119242i
$915$	985.252	+	2157.40i	1.07678	+	2.35782i
$916$	−183.462	+	26.3779i	−0.200286	+	0.0287968i
$917$	−239.282	−	372.329i	−0.260940	−	0.406030i
$918$	39.3169	+	34.0683i	0.0428289	+	0.0371115i
$919$		−	1331.97i		−	1.44937i	−0.689080	−	0.724685i	$-0.741985\pi$
$919$		−	1331.97i		−	1.44937i	0.689080	−	0.724685i	$-0.258015\pi$
$920$	−505.455	+	1069.63i	−0.549407	+	1.16264i
$921$	1102.06			1.19659
$922$	37.1413	−	42.8633i	0.0402834	−	0.0464895i
$923$	−83.3819	+	53.5863i	−0.0903379	+	0.0580567i
$924$	20.1161	+	139.910i	0.0217706	+	0.151418i
$925$	711.847	−	325.090i	0.769564	−	0.351448i
$926$	−268.586	+	1868.06i	−0.290050	+	2.01734i
$927$	−377.477	−	1285.57i	−0.407203	−	1.38681i
$928$	−175.245	−	112.623i	−0.188842	−	0.121361i
$929$	428.591	−	938.484i	0.461347	−	1.01021i	−0.525831	−	0.850589i	$-0.676246\pi$
$929$	428.591	−	938.484i	0.461347	−	1.01021i	0.987178	−	0.159620i	$-0.0510270\pi$
$930$	−885.788	+	3016.72i	−0.952460	+	3.24378i
$931$	−218.354	+	189.205i	−0.234537	+	0.203227i
$932$	51.6207	+	59.5734i	0.0553870	+	0.0639200i
$933$	−282.517	−	82.9545i	−0.302805	−	0.0889116i
$934$	−1071.88	−	489.510i	−1.14762	−	0.524101i
$935$	−62.4363	+	97.1528i	−0.0667768	+	0.103907i
$936$	−129.449	+	38.0096i	−0.138300	+	0.0406085i
$937$	−810.413	−	116.520i	−0.864902	−	0.124354i	−0.304437	−	0.952532i	$-0.598468\pi$
$937$	−810.413	−	116.520i	−0.864902	−	0.124354i	−0.560465	+	0.828178i	$0.689377\pi$
$938$	444.603	+	973.545i	0.473991	+	1.03789i
$939$	454.765	−	65.3854i	0.484308	−	0.0696330i
$940$	107.721	+	167.617i	0.114596	+	0.178316i
$941$	316.910	+	274.604i	0.336780	+	0.291821i	0.806788	−	0.590841i	$-0.201204\pi$
$941$	316.910	+	274.604i	0.336780	+	0.291821i	−0.470009	+	0.882662i	$0.655749\pi$
$942$			1046.29i			1.11071i
$943$	−538.209	+	70.2265i	−0.570741	+	0.0744714i
$944$	819.137			0.867729
$945$	−448.096	+	517.130i	−0.474175	+	0.547227i
$946$	−405.499	+	260.598i	−0.428646	+	0.275474i
$947$	159.610	+	1110.11i	0.168543	+	1.17224i	0.881898	+	0.471441i	$0.156266\pi$
$947$	159.610	+	1110.11i	0.168543	+	1.17224i	−0.713355	+	0.700803i	$0.752825\pi$
$948$	−122.112	+	55.7668i	−0.128810	+	0.0588258i
$949$	15.2399	−	105.996i	0.0160589	−	0.111692i
$950$	118.688	+	404.213i	0.124934	+	0.425487i
$951$	−2152.43	−	1383.28i	−2.26333	−	1.45456i
$952$	−62.6016	+	137.078i	−0.0657579	+	0.143990i
$953$	−313.356	+	1067.19i	−0.328810	+	1.11982i	0.614778	+	0.788700i	$0.289246\pi$
$953$	−313.356	+	1067.19i	−0.328810	+	1.11982i	−0.943588	+	0.331123i	$0.892573\pi$
$954$	490.992	−	425.447i	0.514667	−	0.445962i
$955$	−1236.21	−	1426.66i	−1.29446	−	1.49389i
$956$	13.0223	+	3.82369i	0.0136216	+	0.00399967i
$957$	−875.236	−	399.707i	−0.914562	−	0.417667i
$958$	−585.275	+	910.706i	−0.610934	+	0.950632i
$959$	−878.268	+	257.883i	−0.915816	+	0.268908i
$960$	−1694.05	−	243.567i	−1.76463	−	0.253716i
$961$	551.649	+	1207.94i	0.574037	+	1.25696i
$962$	−115.469	+	16.6020i	−0.120031	+	0.0172578i
$963$	−166.671	−	259.345i	−0.173074	−	0.269309i
$964$	111.753	+	96.8349i	0.115927	+	0.100451i
$965$			1619.97i			1.67873i
$966$	307.562	−	1957.44i	0.318387	−	2.02634i
$967$	846.635			0.875527			0.437764	−	0.899090i	$-0.355771\pi$
$967$	846.635			0.875527			0.437764	+	0.899090i	$0.355771\pi$
$968$	316.279	−	365.005i	0.326734	−	0.377072i
$969$	75.8066	−	48.7180i	0.0782318	−	0.0502765i
$970$	−255.933	−	1780.05i	−0.263848	−	1.83510i
$971$	419.795	−	191.714i	0.432333	−	0.197440i	−0.187348	−	0.982294i	$-0.559989\pi$
$971$	419.795	−	191.714i	0.432333	−	0.197440i	0.619681	+	0.784854i	$0.287262\pi$
$972$	−22.2882	+	155.018i	−0.0229302	+	0.159483i
$973$	−67.6616	−	230.434i	−0.0695392	−	0.236829i
$974$	410.565	+	263.854i	0.421524	+	0.270897i
$975$	−66.2779	+	145.128i	−0.0679774	+	0.148850i
$976$	378.705	−	1289.75i	0.388017	−	1.32146i
$977$	804.564	−	697.158i	0.823504	−	0.713571i	−0.137381	−	0.990518i	$-0.543868\pi$
$977$	804.564	−	697.158i	0.823504	−	0.713571i	0.960885	+	0.276948i	$0.0893229\pi$
$978$	−1610.48	−	1858.60i	−1.64671	−	1.90041i
$979$	−341.249	−	100.200i	−0.348569	−	0.102349i
$980$	93.5977	+	42.7446i	0.0955079	+	0.0436170i
$981$	659.546	−	1026.27i	0.672320	−	1.04615i
$982$	1354.40	−	397.688i	1.37923	−	0.404978i
$983$	1488.14	+	213.962i	1.51388	+	0.217662i	0.848640	−	0.528971i	$-0.177422\pi$
$983$	1488.14	+	213.962i	1.51388	+	0.217662i	0.665236	+	0.746634i	$0.268331\pi$
$984$	−331.241	−	725.317i	−0.336627	−	0.737110i
$985$	2231.92	−	320.902i	2.26591	−	0.325788i
$986$	72.3403	+	112.564i	0.0733675	+	0.114162i
$987$	1933.53	+	1675.42i	1.95900	+	1.69748i
$988$		−	6.49662i		−	0.00657553i
$989$	673.210	−	188.165i	0.680698	−	0.190258i
$990$	1248.43			1.26104
$991$	192.649	−	222.329i	0.194399	−	0.224348i	−0.650179	−	0.759781i	$-0.725306\pi$
$991$	192.649	−	222.329i	0.194399	−	0.224348i	0.844578	+	0.535433i	$0.179852\pi$
$992$	295.791	−	190.093i	0.298176	−	0.191626i
$993$	103.829	+	722.144i	0.104560	+	0.727234i
$994$	1088.66	−	497.174i	1.09523	−	0.500175i
$995$	−284.124	+	1976.12i	−0.285552	+	1.98606i
$996$	−33.5033	−	114.102i	−0.0336378	−	0.114560i
$997$	672.244	+	432.025i	0.674267	+	0.433325i	0.832462	−	0.554083i	$-0.186931\pi$
$997$	672.244	+	432.025i	0.674267	+	0.433325i	−0.158195	+	0.987408i	$0.550567\pi$
$998$	−319.356	+	699.291i	−0.319996	+	0.700692i
$999$	−108.656	+	370.050i	−0.108765	+	0.370420i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	23.3.d.a.7.1	✓	30
3.2	odd	2		207.3.j.a.145.3		30
4.3	odd	2		368.3.p.a.145.3		30
23.6	even	11		529.3.b.b.528.23		30
23.10	odd	22	inner	23.3.d.a.10.1	yes	30
23.17	odd	22		529.3.b.b.528.24		30
69.56	even	22		207.3.j.a.10.3		30
92.79	even	22		368.3.p.a.33.3		30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
23.3.d.a.7.1	✓	30	1.1	even	1	trivial
23.3.d.a.10.1	yes	30	23.10	odd	22	inner
207.3.j.a.10.3		30	69.56	even	22
207.3.j.a.145.3		30	3.2	odd	2
368.3.p.a.33.3		30	92.79	even	22
368.3.p.a.145.3		30	4.3	odd	2
529.3.b.b.528.23		30	23.6	even	11
529.3.b.b.528.24		30	23.17	odd	22

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:	\( N \)	\(=\)	\( 23 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	23.d (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.38322 + 1.59632i) q^{2} +(-3.80315 + 2.44414i) q^{3} +(-0.0656849 - 0.456848i) q^{4} +(6.26010 - 2.85889i) q^{5} +(1.35897 - 9.45184i) q^{6} +(2.54176 + 8.65643i) q^{7} +(-6.28757 - 4.04078i) q^{8} +(4.75142 - 10.4042i) q^{9} +O(q^{10})\)	\(q+(-1.38322 + 1.59632i) q^{2} +(-3.80315 + 2.44414i) q^{3} +(-0.0656849 - 0.456848i) q^{4} +(6.26010 - 2.85889i) q^{5} +(1.35897 - 9.45184i) q^{6} +(2.54176 + 8.65643i) q^{7} +(-6.28757 - 4.04078i) q^{8} +(4.75142 - 10.4042i) q^{9} +(-4.09539 + 13.9476i) q^{10} +(5.67468 - 4.91714i) q^{11} +(1.36641 + 1.57692i) q^{12} +(1.51426 + 0.444627i) q^{13} +(-17.3343 - 7.91629i) q^{14} +(-16.8206 + 26.1733i) q^{15} +(16.9189 - 4.96784i) q^{16} +(-2.21211 - 0.318053i) q^{17} +(10.0361 + 21.9761i) q^{18} +(8.82817 - 1.26930i) q^{19} +(-1.71727 - 2.67213i) q^{20} +(-30.8242 - 26.7093i) q^{21} +15.8601i q^{22} +(6.76730 - 21.9819i) q^{23} +33.7888 q^{24} +(14.6440 - 16.9001i) q^{25} +(-2.80432 + 1.80223i) q^{26} +(1.56841 + 10.9085i) q^{27} +(3.78772 - 1.72979i) q^{28} +(-4.03394 + 28.0567i) q^{29} +(-18.5145 - 63.0546i) q^{30} +(-40.2480 - 25.8658i) q^{31} +(-3.05297 + 6.68507i) q^{32} +(-9.56351 + 32.5703i) q^{33} +(3.56755 - 3.09130i) q^{34} +(40.6594 + 46.9235i) q^{35} +(-5.06522 - 1.48728i) q^{36} +(31.8328 + 14.5376i) q^{37} +(-10.1851 + 15.8483i) q^{38} +(-6.84569 + 2.01007i) q^{39} +(-50.9130 - 7.32018i) q^{40} +(-9.80327 - 21.4662i) q^{41} +(85.2734 - 12.2605i) q^{42} +(16.4311 + 25.5672i) q^{43} +(-2.61913 - 2.26949i) q^{44} -78.7148i q^{45} +(25.7295 + 41.2086i) q^{46} -62.7278 q^{47} +(-52.2030 + 60.2455i) q^{48} +(-27.2518 + 17.5137i) q^{49} +(6.72209 + 46.7532i) q^{50} +(9.19035 - 4.19709i) q^{51} +(0.103663 - 0.720992i) q^{52} +(-7.57617 - 25.8021i) q^{53} +(-19.5830 - 12.5852i) q^{54} +(21.4665 - 47.0051i) q^{55} +(18.9972 - 64.6986i) q^{56} +(-30.4725 + 26.4046i) q^{57} +(-39.2077 - 45.2480i) q^{58} +(44.5726 + 13.0877i) q^{59} +(13.0621 + 5.96526i) q^{60} +(41.2137 - 64.1298i) q^{61} +(96.9622 - 28.4707i) q^{62} +(102.140 + 14.6855i) q^{63} +(22.8517 + 50.0383i) q^{64} +(10.7505 - 1.54570i) q^{65} +(-38.7643 - 60.3184i) q^{66} +(-42.4452 - 36.7790i) q^{67} +1.03149i q^{68} +(27.9897 + 100.141i) q^{69} -131.146 q^{70} +(-41.1278 + 47.4640i) q^{71} +(-71.9158 + 46.2175i) q^{72} +(-9.65660 - 67.1632i) q^{73} +(-67.2384 + 30.7068i) q^{74} +(-14.3873 + 100.066i) q^{75} +(-1.15975 - 3.94976i) q^{76} +(56.9885 + 36.6243i) q^{77} +(6.26037 - 13.7083i) q^{78} +(-18.1259 + 61.7310i) q^{79} +(91.7114 - 79.4684i) q^{80} +(34.7845 + 40.1434i) q^{81} +(47.8270 + 14.0433i) q^{82} +(-51.8422 - 23.6756i) q^{83} +(-10.1774 + 15.8364i) q^{84} +(-14.7573 + 4.33313i) q^{85} +(-63.5413 - 9.13586i) q^{86} +(-53.2327 - 116.563i) q^{87} +(-55.5490 + 7.98675i) q^{88} +(-25.6079 - 39.8467i) q^{89} +(125.654 + 108.880i) q^{90} +14.2382i q^{91} +(-10.4869 - 1.64775i) q^{92} +216.289 q^{93} +(86.7664 - 100.134i) q^{94} +(51.6364 - 33.1847i) q^{95} +(-4.72832 - 32.8862i) q^{96} +(-112.534 + 51.3925i) q^{97} +(9.73782 - 67.7280i) q^{98} +(-24.1959 - 82.4037i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 30 q - 11 q^{2} - 11 q^{3} - 23 q^{4} - 11 q^{5} + 22 q^{6} - 11 q^{7} + 10 q^{8} - 38 q^{9}+O(q^{10}) \) 30 * q - 11 * q^2 - 11 * q^3 - 23 * q^4 - 11 * q^5 + 22 * q^6 - 11 * q^7 + 10 * q^8 - 38 * q^9	\( 30 q - 11 q^{2} - 11 q^{3} - 23 q^{4} - 11 q^{5} + 22 q^{6} - 11 q^{7} + 10 q^{8} - 38 q^{9} - 11 q^{10} - 11 q^{11} - 14 q^{12} - 11 q^{13} - 11 q^{14} + 66 q^{15} + 73 q^{16} + 44 q^{17} + 126 q^{18} + 22 q^{19} + 77 q^{20} + 22 q^{21} + 36 q^{23} - 22 q^{24} - 152 q^{25} - 186 q^{26} - 62 q^{27} - 275 q^{28} - 88 q^{29} - 363 q^{30} - 110 q^{31} - 147 q^{32} - 132 q^{33} + 231 q^{34} + 209 q^{35} + 229 q^{36} + 341 q^{37} + 374 q^{38} + 295 q^{39} + 429 q^{40} + 77 q^{41} + 319 q^{42} + 77 q^{43} + 110 q^{44} - 99 q^{46} - 110 q^{47} - 550 q^{48} - 422 q^{49} - 396 q^{50} - 275 q^{51} - 472 q^{52} - 187 q^{53} - 198 q^{54} - 165 q^{55} + 176 q^{56} - 176 q^{57} - 13 q^{58} - q^{59} + 539 q^{60} + 297 q^{61} + 82 q^{62} + 264 q^{63} + 386 q^{64} + 220 q^{65} + 264 q^{66} + 11 q^{67} - 66 q^{69} - 198 q^{70} - 176 q^{71} - 605 q^{72} - 121 q^{73} - 352 q^{74} + 154 q^{75} + 110 q^{76} + 110 q^{77} + 360 q^{78} + 33 q^{79} - 242 q^{80} + 494 q^{81} + 96 q^{82} - 154 q^{83} + 11 q^{84} + 275 q^{85} + 143 q^{86} + 271 q^{87} + 429 q^{88} + 121 q^{89} + 242 q^{90} + 166 q^{92} + 260 q^{93} - 295 q^{94} - 154 q^{95} - 419 q^{96} + 154 q^{97} + 77 q^{98} - 242 q^{99}+O(q^{100}) \) 30 * q - 11 * q^2 - 11 * q^3 - 23 * q^4 - 11 * q^5 + 22 * q^6 - 11 * q^7 + 10 * q^8 - 38 * q^9 - 11 * q^10 - 11 * q^11 - 14 * q^12 - 11 * q^13 - 11 * q^14 + 66 * q^15 + 73 * q^16 + 44 * q^17 + 126 * q^18 + 22 * q^19 + 77 * q^20 + 22 * q^21 + 36 * q^23 - 22 * q^24 - 152 * q^25 - 186 * q^26 - 62 * q^27 - 275 * q^28 - 88 * q^29 - 363 * q^30 - 110 * q^31 - 147 * q^32 - 132 * q^33 + 231 * q^34 + 209 * q^35 + 229 * q^36 + 341 * q^37 + 374 * q^38 + 295 * q^39 + 429 * q^40 + 77 * q^41 + 319 * q^42 + 77 * q^43 + 110 * q^44 - 99 * q^46 - 110 * q^47 - 550 * q^48 - 422 * q^49 - 396 * q^50 - 275 * q^51 - 472 * q^52 - 187 * q^53 - 198 * q^54 - 165 * q^55 + 176 * q^56 - 176 * q^57 - 13 * q^58 - q^59 + 539 * q^60 + 297 * q^61 + 82 * q^62 + 264 * q^63 + 386 * q^64 + 220 * q^65 + 264 * q^66 + 11 * q^67 - 66 * q^69 - 198 * q^70 - 176 * q^71 - 605 * q^72 - 121 * q^73 - 352 * q^74 + 154 * q^75 + 110 * q^76 + 110 * q^77 + 360 * q^78 + 33 * q^79 - 242 * q^80 + 494 * q^81 + 96 * q^82 - 154 * q^83 + 11 * q^84 + 275 * q^85 + 143 * q^86 + 271 * q^87 + 429 * q^88 + 121 * q^89 + 242 * q^90 + 166 * q^92 + 260 * q^93 - 295 * q^94 - 154 * q^95 - 419 * q^96 + 154 * q^97 + 77 * q^98 - 242 * q^99

Introduction

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