LMFDB - Embedded newform 23.3.d.a.10.1

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			10.1
Character	$\chi$	$=$	23.10
Dual form			23.3.d.a.7.1

$q$-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 $\left(\mathbb{Z}/23\mathbb{Z}\right)^\times$.

$n$	$5$
$\chi(n)$	$e\left(\frac{3}{22}\right)$

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	0.295983	−	0.955193i	$-0.404353\pi$
$2$	−1.38322	−	1.59632i	−0.691611	−	0.798161i	−0.987594	+	0.157032i	$0.949807\pi$
$3$	−3.80315	−	2.44414i	−1.26772	−	0.814712i	−0.278396	−	0.960466i	$-0.589803\pi$
$3$	−3.80315	−	2.44414i	−1.26772	−	0.814712i	−0.989321	+	0.145754i	$0.953439\pi$
$4$	−0.0656849	+	0.456848i	−0.0164212	+	0.114212i
$5$	6.26010	+	2.85889i	1.25202	+	0.571778i	0.927402	−	0.374067i	$-0.122037\pi$
$5$	6.26010	+	2.85889i	1.25202	+	0.571778i	0.324618	+	0.945845i	$0.394764\pi$
$6$	1.35897	+	9.45184i	0.226495	+	1.57531i
$7$	2.54176	−	8.65643i	0.363108	−	1.23663i	−0.552143	−	0.833749i	$-0.686190\pi$
$7$	2.54176	−	8.65643i	0.363108	−	1.23663i	0.915251	−	0.402884i	$-0.131992\pi$
$8$	−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	0.873478	−	0.486863i	$-0.161859\pi$
$11$	5.67468	+	4.91714i	0.515880	+	0.447013i	−0.357598	+	0.933875i	$0.616404\pi$
$12$	1.36641	−	1.57692i	0.113867	−	0.131410i
$13$	1.51426	−	0.444627i	0.116481	−	0.0342020i	−0.222972	−	0.974825i	$-0.571576\pi$
$13$	1.51426	−	0.444627i	0.116481	−	0.0342020i	0.339454	+	0.940623i	$0.389758\pi$
$14$	−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	−0.207069	−	0.978326i	$-0.566392\pi$
$17$	−2.21211	+	0.318053i	−0.130124	+	0.0187090i	0.0769450	+	0.997035i	$0.475483\pi$
$18$	10.0361	−	21.9761i	0.557563	−	1.22089i
$19$	8.82817	+	1.26930i	0.464641	+	0.0668052i	0.370660	−	0.928769i	$-0.379132\pi$
$19$	8.82817	+	1.26930i	0.464641	+	0.0668052i	0.0939809	+	0.995574i	$0.470041\pi$
$20$	−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	−0.933117	−	0.359574i	$-0.882922\pi$
$29$	−4.03394	−	28.0567i	−0.139101	−	0.967471i	0.794015	−	0.607898i	$-0.207987\pi$
$30$	−18.5145	+	63.0546i	−0.617150	+	2.10182i
$31$	−40.2480	+	25.8658i	−1.29832	+	0.834382i	−0.993028	−	0.117875i	$-0.962392\pi$
$31$	−40.2480	+	25.8658i	−1.29832	+	0.834382i	−0.305296	+	0.952258i	$0.598755\pi$
$32$	−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	0.0641461	−	0.997941i	$-0.479568\pi$
$37$	31.8328	−	14.5376i	0.860346	−	0.392907i	0.796200	+	0.605034i	$0.206840\pi$
$38$	−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	−0.990701	−	0.136058i	$-0.956557\pi$
$41$	−9.80327	+	21.4662i	−0.239104	+	0.523565i	0.751597	+	0.659623i	$0.229284\pi$
$42$	85.2734	+	12.2605i	2.03032	+	0.291916i
$43$	16.4311	−	25.5672i	0.382118	−	0.594587i	−0.595913	−	0.803049i	$-0.703210\pi$
$43$	16.4311	−	25.5672i	0.382118	−	0.594587i	0.978030	+	0.208463i	$0.0668459\pi$
$44$	−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	−0.999577	−	0.0290999i	$-0.990736\pi$
$53$	−7.57617	+	25.8021i	−0.142947	+	0.486832i	0.856630	+	0.515931i	$0.172554\pi$
$54$	−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	0.118752	−	0.992924i	$-0.462111\pi$
$59$	44.5726	−	13.0877i	0.755468	−	0.221825i	0.636716	+	0.771099i	$0.280292\pi$
$60$	13.0621	−	5.96526i	0.217702	−	0.0994210i
$61$	41.2137	+	64.1298i	0.675635	+	1.05131i	0.994624	+	0.103551i	$0.0330203\pi$
$61$	41.2137	+	64.1298i	0.675635	+	1.05131i	−0.318989	+	0.947758i	$0.603343\pi$
$62$	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	−0.911321	−	0.411696i	$-0.864937\pi$
$67$	−42.4452	+	36.7790i	−0.633510	+	0.548940i	0.277811	+	0.960636i	$0.410391\pi$
$68$		−	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	0.388182	−	0.921583i	$-0.373103\pi$
$71$	−41.1278	−	47.4640i	−0.579265	−	0.668507i	−0.967446	+	0.253076i	$0.918558\pi$
$72$	−71.9158	−	46.2175i	−0.998831	−	0.641910i
$73$	−9.65660	+	67.1632i	−0.132282	+	0.920043i	0.810287	+	0.586033i	$0.199311\pi$
$73$	−9.65660	+	67.1632i	−0.132282	+	0.920043i	−0.942569	+	0.334010i	$0.891598\pi$
$74$	−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	−0.991064	−	0.133385i	$-0.957415\pi$
$79$	−18.1259	−	61.7310i	−0.229441	−	0.781406i	0.761623	−	0.648020i	$-0.224403\pi$
$80$	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	−0.702467	−	0.711717i	$-0.747918\pi$
$83$	−51.8422	+	23.6756i	−0.624605	+	0.285248i	0.0778616	+	0.996964i	$0.475191\pi$
$84$	−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	−0.954787	−	0.297290i	$-0.903917\pi$
$89$	−25.6079	+	39.8467i	−0.287730	+	0.447716i	0.667058	+	0.745006i	$0.267553\pi$
$90$	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	−0.260083	−	0.965586i	$-0.583750\pi$
$97$	−112.534	−	51.3925i	−1.16014	−	0.529820i	−0.900060	+	0.435767i	$0.856477\pi$
$98$	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	−0.922265	−	0.386559i	$-0.873663\pi$
$101$	−61.6556	−	135.007i	−0.610452	−	1.33670i	0.311813	−	0.950144i	$-0.399064\pi$
$102$	−6.01238	−	20.4763i	−0.0589449	−	0.200748i
$103$	88.5299	+	76.7116i	0.859514	+	0.744773i	0.968432	−	0.249278i	$-0.0801932\pi$
$103$	88.5299	+	76.7116i	0.859514	+	0.744773i	−0.108918	+	0.994051i	$0.534739\pi$
$104$	−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	0.902648	−	0.430380i	$-0.141621\pi$
$107$	14.5720	+	22.6744i	0.136187	+	0.211910i	−0.766461	+	0.642291i	$0.777984\pi$
$108$	4.88052	+	1.43305i	0.0451900	+	0.0132690i
$109$	105.573	−	15.1791i	0.968558	−	0.139258i	0.360160	−	0.932890i	$-0.382722\pi$
$109$	105.573	−	15.1791i	0.968558	−	0.139258i	0.608397	+	0.793633i	$0.291813\pi$
$110$	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	−0.801714	−	0.597707i	$-0.796078\pi$
$113$	−36.6331	+	31.7428i	−0.324187	+	0.280909i	0.477528	+	0.878617i	$0.341533\pi$
$114$			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	−0.594985	−	0.803737i	$-0.702842\pi$
$127$	36.2263	−	41.8073i	0.285246	−	0.329192i	0.880231	+	0.474545i	$0.157387\pi$
$128$	−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	0.0970930	−	0.995275i	$-0.469046\pi$
$131$	−47.0701	−	13.8210i	−0.359314	−	0.105504i	−0.456407	+	0.889771i	$0.650864\pi$
$132$	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	$-0.879260\pi$
$137$		−	101.458i		−	0.740572i	0.928918	−	0.370286i	$-0.120740\pi$
$138$	−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	0.414087	−	0.910237i	$-0.364101\pi$
$149$	−63.7653	−	55.2530i	−0.427955	−	0.370825i	−0.842042	+	0.539412i	$0.818647\pi$
$150$	−139.836	+	161.380i	−0.932242	+	1.07587i
$151$	239.883	−	70.4361i	1.58863	−	0.466464i	0.636277	−	0.771460i	$-0.280473\pi$
$151$	239.883	−	70.4361i	1.58863	−	0.466464i	0.952354	+	0.304996i	$0.0986552\pi$
$152$	−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	−0.212029	−	0.977263i	$-0.568007\pi$
$157$	−108.455	−	15.5935i	−0.690796	−	0.0993215i	−0.478767	+	0.877942i	$0.658916\pi$
$158$	−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	0.980693	+	0.195552i	$0.0626498\pi$
$163$	168.654	+	194.637i	1.03469	+	1.19409i	0.0539941	+	0.998541i	$0.482805\pi$
$164$	−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	0.941439	+	0.337183i	$0.109474\pi$
$167$	22.2327	+	154.632i	0.133130	+	0.925941i	−0.808309	+	0.588758i	$0.799617\pi$
$168$	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	−0.978381	−	0.206810i	$-0.933692\pi$
$173$	−109.758	+	126.667i	−0.634438	+	0.732180i	0.343943	+	0.938990i	$0.388237\pi$
$174$	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	−0.998631	−	0.0523074i	$-0.983342\pi$
$179$	−54.6192	+	119.599i	−0.305135	+	0.668153i	0.693496	+	0.720461i	$0.256070\pi$
$180$	−35.9608	−	5.17038i	−0.199782	−	0.0287243i
$181$	−78.4975	+	122.144i	−0.433688	+	0.674831i	−0.987466	−	0.157833i	$-0.949549\pi$
$181$	−78.4975	+	122.144i	−0.433688	+	0.674831i	0.553778	+	0.832664i	$0.313186\pi$
$182$	−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	0.465480	+	0.885059i	$0.345882\pi$
$191$	−77.2796	+	263.190i	−0.404605	+	1.37796i	−0.870085	+	0.492901i	$0.835936\pi$
$192$	−209.209	+	134.450i	−1.08963	+	0.700263i
$193$	−97.7854	−	214.120i	−0.506660	−	1.10943i	−0.974247	−	0.225483i	$-0.927604\pi$
$193$	−97.7854	−	214.120i	−0.506660	−	1.10943i	0.467587	−	0.883947i	$-0.345123\pi$
$194$	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	0.641436	−	0.767177i	$-0.278339\pi$
$197$	314.375	−	92.3089i	1.59581	−	0.468573i	0.954377	+	0.298604i	$0.0965210\pi$
$198$	165.011	−	75.3581i	0.833390	−	0.380596i
$199$	−156.838	−	244.045i	−0.788130	−	1.22635i	−0.970017	−	0.243035i	$-0.921857\pi$
$199$	−156.838	−	244.045i	−0.788130	−	1.22635i	0.181887	−	0.983319i	$-0.441779\pi$
$200$	−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	−0.879388	−	0.476106i	$-0.842048\pi$
$211$	20.7863	−	144.572i	0.0985133	−	0.685175i	0.977901	−	0.209069i	$-0.0670432\pi$
$212$	−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	0.639326	−	0.768936i	$-0.279213\pi$
$223$	169.802	+	49.8583i	0.761443	+	0.223580i	0.122117	+	0.992516i	$0.461032\pi$
$224$	−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	−0.182927	−	0.983127i	$-0.558557\pi$
$227$	178.728	−	278.106i	0.787347	−	1.22514i	0.970274	−	0.242009i	$-0.0778065\pi$
$228$	14.0645	−	12.1869i	0.0616863	−	0.0534515i
$229$			401.582i			1.75364i	0.480823	+	0.876818i	$0.340338\pi$
$229$			401.582i			1.75364i	−0.480823	+	0.876818i	$0.659662\pi$
$230$	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	0.194703	−	0.980862i	$-0.437626\pi$
$233$	−143.677	−	92.3354i	−0.616638	−	0.396289i	−0.811341	+	0.584573i	$0.801262\pi$
$234$	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	0.882354	−	0.470587i	$-0.155958\pi$
$239$	−12.2155	−	26.7483i	−0.0511110	−	0.111917i	−0.933465	+	0.358669i	$0.883231\pi$
$240$	−154.561	−	526.386i	−0.644003	−	2.19327i
$241$	−242.128	−	209.805i	−1.00468	−	0.870561i	−0.0130828	−	0.999914i	$-0.504164\pi$
$241$	−242.128	−	209.805i	−1.00468	−	0.870561i	−0.991599	+	0.129353i	$0.958710\pi$
$242$	−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	−0.239380	−	0.970926i	$-0.576944\pi$
$251$	172.587	−	149.547i	0.687596	−	0.595805i	0.926976	+	0.375121i	$0.122399\pi$
$252$			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	−0.889409	−	0.457113i	$-0.848883\pi$
$257$	23.8384	−	165.800i	0.0927564	−	0.645135i	0.982165	−	0.188022i	$-0.0602075\pi$
$258$	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	0.995059	−	0.0992828i	$-0.0316548\pi$
$263$	27.4272	+	93.4084i	0.104286	+	0.355165i	−0.890773	+	0.454448i	$0.849837\pi$
$264$	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	0.609324	−	0.792921i	$-0.291441\pi$
$269$	186.480	+	54.7556i	0.693235	+	0.203552i	0.0839109	+	0.996473i	$0.473259\pi$
$270$	−158.571	+	22.7991i	−0.587301	+	0.0844411i
$271$	−1.01988	+	2.23323i	−0.00376340	+	0.00824070i	−0.911504	−	0.411290i	$-0.865078\pi$
$271$	−1.01988	+	2.23323i	−0.00376340	+	0.00824070i	0.907741	+	0.419531i	$0.137805\pi$
$272$	−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	0.873431	−	0.486947i	$-0.161890\pi$
$281$	302.749	+	138.261i	1.07740	+	0.492031i	0.203966	+	0.978978i	$0.434617\pi$
$282$	−85.2451	−	592.893i	−0.302288	−	2.10246i
$283$	132.273	−	450.482i	0.467397	−	1.59181i	−0.302178	−	0.953252i	$-0.597714\pi$
$283$	132.273	−	450.482i	0.467397	−	1.59181i	0.769575	−	0.638557i	$-0.220468\pi$
$284$	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	−0.378348	−	0.925663i	$-0.623508\pi$
$293$	−140.810	+	20.2455i	−0.480582	+	0.0690972i	−0.102233	+	0.994760i	$0.532599\pi$
$294$	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	−0.830204	−	0.557459i	$-0.811776\pi$
$307$	−205.076	+	131.795i	−0.668001	+	0.429298i	0.162203	+	0.986757i	$0.448140\pi$
$308$	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	−0.683023	−	0.730397i	$-0.739335\pi$
$311$	42.6516	−	49.2226i	0.137143	−	0.158272i	0.820167	+	0.572125i	$0.193881\pi$
$312$	51.1650	−	15.0234i	0.163990	−	0.0481519i
$313$	−92.4442	+	42.2178i	−0.295349	+	0.134881i	−0.557579	−	0.830124i	$-0.688269\pi$
$313$	−92.4442	+	42.2178i	−0.295349	+	0.134881i	0.262230	+	0.965005i	$0.415542\pi$
$314$	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	−0.0391290	−	0.999234i	$-0.512458\pi$
$317$	235.108	−	514.815i	0.741666	−	1.62402i	0.780795	−	0.624787i	$-0.214814\pi$
$318$	−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	0.983458	−	0.181136i	$-0.0579773\pi$
$331$	67.0397	+	146.796i	0.202537	+	0.443494i	−0.780921	+	0.624629i	$0.785250\pi$
$332$	−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	−0.853783	−	0.520628i	$-0.825698\pi$
$337$	−327.796	−	510.061i	−0.972689	−	1.51353i	−0.118906	−	0.992906i	$-0.537939\pi$
$338$	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	0.772820	−	0.634625i	$-0.218846\pi$
$347$	12.0307	+	13.8842i	0.0346707	+	0.0400121i	−0.738149	+	0.674637i	$0.764300\pi$
$348$	−49.7552	−	31.9757i	−0.142975	−	0.0918842i
$349$	−41.4184	+	288.071i	−0.118677	+	0.825419i	0.840337	+	0.542064i	$0.182357\pi$
$349$	−41.4184	+	288.071i	−0.118677	+	0.825419i	−0.959015	+	0.283356i	$0.908552\pi$
$350$	−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	−0.311934	−	0.950104i	$-0.600977\pi$
$353$	149.223	−	95.9000i	0.422729	−	0.271671i	0.734663	+	0.678433i	$0.237340\pi$
$354$	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	−0.186543	−	0.982447i	$-0.559728\pi$
$359$	155.727	−	71.1182i	0.433780	−	0.198101i	0.620324	+	0.784346i	$0.287001\pi$
$360$	−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	$0.134415\pi$
$367$			300.821i			0.819676i	−0.912158	+	0.409838i	$0.865585\pi$
$368$	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	0.750804	−	0.660526i	$-0.229666\pi$
$373$	277.245	+	126.613i	0.743284	+	0.339446i	−0.00752009	+	0.999972i	$0.502394\pi$
$374$	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	0.507195	−	0.861831i	$-0.330682\pi$
$379$	−103.726	−	89.8788i	−0.273682	−	0.237147i	−0.780878	+	0.624684i	$0.785228\pi$
$380$	−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	0.686189	−	0.727423i	$-0.259282\pi$
$383$	−99.7911	−	155.278i	−0.260551	−	0.405425i	−0.946741	+	0.321997i	$0.895646\pi$
$384$	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	−0.866256	−	0.499600i	$-0.833480\pi$
$389$	−192.564	+	166.858i	−0.495023	+	0.428940i	0.371233	+	0.928540i	$0.378935\pi$
$390$			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	−0.972337	−	0.233583i	$-0.924955\pi$
$397$	−41.7622	−	290.463i	−0.105194	−	0.731644i	0.867142	−	0.498060i	$-0.165954\pi$
$398$	−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	0.919316	−	0.393521i	$-0.128743\pi$
$401$	−26.7930	−	91.2487i	−0.0668156	−	0.227553i	−0.986131	+	0.165968i	$0.946925\pi$
$402$	−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	−0.959732	−	0.280917i	$-0.909361\pi$
$409$	−48.6458	+	106.519i	−0.118938	+	0.260439i	0.840794	+	0.541356i	$0.182089\pi$
$410$	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	−0.0988376	−	0.995104i	$-0.531512\pi$
$419$	−383.641	−	175.203i	−0.915612	−	0.418146i	−0.816774	+	0.576958i	$0.804240\pi$
$420$	−18.4372	−	128.233i	−0.0438981	−	0.305318i
$421$	−102.153	+	347.903i	−0.242645	+	0.826372i	0.744648	+	0.667458i	$0.232618\pi$
$421$	−102.153	+	347.903i	−0.242645	+	0.826372i	−0.987292	+	0.158914i	$0.949201\pi$
$422$	−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	−0.912448	−	0.409193i	$-0.865810\pi$
$431$	−720.913	+	103.652i	−1.67265	+	0.240491i	−0.760204	+	0.649684i	$0.774901\pi$
$432$	80.7275	−	176.769i	0.186869	−	0.409187i
$433$	723.497	+	104.023i	1.67089	+	0.240238i	0.911768	−	0.410706i	$-0.134718\pi$
$433$	723.497	+	104.023i	1.67089	+	0.240238i	0.759125	+	0.650944i	$0.225627\pi$
$434$	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	0.603245	−	0.797556i	$-0.293874\pi$
$439$	−119.427	−	137.826i	−0.272044	−	0.313955i	−0.875289	+	0.483601i	$0.839329\pi$
$440$	−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	0.984890	+	0.173181i	$0.0554045\pi$
$443$	39.2877	+	273.252i	0.0886856	+	0.616822i	−0.896204	+	0.443641i	$0.853686\pi$
$444$	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	−0.514021	−	0.857778i	$-0.671845\pi$
$449$	183.272	−	211.508i	0.408179	−	0.471064i	0.922200	+	0.386714i	$0.126390\pi$
$450$	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	−0.986695	−	0.162580i	$-0.948018\pi$
$457$	−196.016	+	305.007i	−0.428919	+	0.667411i	0.557776	+	0.829991i	$0.311655\pi$
$458$	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	0.953714	+	0.300717i	$0.0972259\pi$
$463$	751.654	+	483.058i	1.62344	+	1.04332i	0.669728	+	0.742606i	$0.266410\pi$
$464$	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	−0.601255	−	0.799057i	$-0.705332\pi$
$467$	157.172	−	535.277i	0.336556	−	1.14620i	0.937811	−	0.347147i	$-0.112849\pi$
$468$	−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	0.649777	−	0.760125i	$-0.274862\pi$
$479$	507.300	+	72.9388i	1.05908	+	0.152273i	0.409305	+	0.912398i	$0.365771\pi$
$480$	−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	0.927808	+	0.373059i	$0.121691\pi$
$487$	−32.8823	+	228.701i	−0.0675201	+	0.469613i	−0.995328	+	0.0965537i	$0.969218\pi$
$488$	−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	−0.968639	−	0.248473i	$-0.920071\pi$
$491$	−562.199	+	361.303i	−1.14501	+	0.735851i	−0.176368	+	0.984324i	$0.556435\pi$
$492$	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	0.612243	−	0.790669i	$-0.290267\pi$
$499$	349.214	+	102.538i	0.699827	+	0.205488i	0.0875838	+	0.996157i	$0.472085\pi$
$500$	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	0.00670435	−	0.999978i	$-0.497866\pi$
$503$	459.506	−	715.005i	0.913531	−	1.42148i	0.906826	−	0.421504i	$-0.138498\pi$
$504$	−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	0.715823	−	0.698282i	$-0.246052\pi$
$509$	192.405	+	123.651i	0.378007	+	0.242930i	−0.337816	+	0.941212i	$0.609688\pi$
$510$	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	0.993665	−	0.112381i	$-0.0358476\pi$
$521$	249.380	+	388.043i	0.478657	+	0.744804i	−0.515009	+	0.857185i	$0.672211\pi$
$522$	−657.060	−	192.930i	−1.25874	−	0.369598i
$523$	535.838	−	77.0419i	1.02455	−	0.147308i	0.390501	−	0.920603i	$-0.372302\pi$
$523$	535.838	−	77.0419i	1.02455	−	0.147308i	0.634047	+	0.773295i	$0.281393\pi$
$524$	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	−0.381185	−	0.924499i	$-0.624484\pi$
$541$	318.190	−	367.211i	0.588152	−	0.678763i	0.969337	+	0.245735i	$0.0790294\pi$
$542$	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	−0.953313	−	0.301983i	$-0.902351\pi$
$547$	−55.1387	+	120.737i	−0.100802	+	0.220726i	0.852511	+	0.522709i	$0.175079\pi$
$548$	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	0.0846693	−	0.996409i	$-0.473017\pi$
$557$	−341.396	−	155.911i	−0.612920	−	0.279911i	−0.697589	+	0.716498i	$0.745744\pi$
$558$	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	−0.0345438	−	0.999403i	$-0.510998\pi$
$563$	−579.153	−	501.839i	−1.02869	−	0.891365i	−0.994147	+	0.108038i	$0.965543\pi$
$564$	−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	−0.00583329	−	0.999983i	$-0.501857\pi$
$569$	153.799	−	22.1130i	0.270297	−	0.0388629i	0.276131	+	0.961120i	$0.410948\pi$
$570$	−243.484	+	533.156i	−0.427165	+	0.935361i
$571$	−904.804	−	130.091i	−1.58460	−	0.227830i	−0.706993	−	0.707220i	$-0.749949\pi$
$571$	−904.804	−	130.091i	−1.58460	−	0.227830i	−0.877602	+	0.479390i	$0.840858\pi$
$572$	−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	0.951634	−	0.307235i	$-0.0994036\pi$
$577$	295.479	+	341.001i	0.512095	+	0.590989i	−0.439539	+	0.898224i	$0.644858\pi$
$578$	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	−0.843753	−	0.536731i	$-0.819659\pi$
$587$	−112.943	+	130.343i	−0.192407	+	0.222049i	0.651347	+	0.758780i	$0.274204\pi$
$588$	−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	0.377996	+	0.925807i	$0.376613\pi$
$593$	−337.546	+	739.122i	−0.569217	+	1.24641i	−0.947213	+	0.320604i	$0.896114\pi$
$594$	−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	0.802172	−	0.597094i	$-0.203678\pi$
$601$	355.954	+	228.758i	0.592270	+	0.380629i	−0.209901	+	0.977723i	$0.567314\pi$
$602$	−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	0.955559	−	0.294800i	$-0.0952530\pi$
$607$	64.9526	+	142.226i	0.107006	+	0.234310i	−0.848553	+	0.529110i	$0.822526\pi$
$608$	−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	0.980712	+	0.195457i	$0.0626190\pi$
$613$	460.427	+	716.438i	0.751104	+	1.16874i	−0.229609	+	0.973283i	$0.573745\pi$
$614$	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	−0.373051	−	0.927811i	$-0.621688\pi$
$617$	−612.301	−	88.0357i	−0.992385	−	0.142683i	−0.619334	+	0.785128i	$0.712597\pi$
$618$	−604.756	+	941.019i	−0.978570	+	1.52269i
$619$	−100.882	+	87.4144i	−0.162975	+	0.141219i	−0.732530	−	0.680734i	$-0.761661\pi$
$619$	−100.882	+	87.4144i	−0.162975	+	0.141219i	0.569555	+	0.821953i	$0.307115\pi$
$620$		−	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	−0.971951	−	0.235182i	$-0.924431\pi$
$631$	−177.590	−	604.817i	−0.281443	−	0.958506i	0.690509	−	0.723324i	$-0.257387\pi$
$632$	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	0.00576621	−	0.999983i	$-0.498165\pi$
$641$	585.225	−	910.628i	0.912988	−	1.42064i	0.907222	−	0.420653i	$-0.138199\pi$
$642$	−194.512	+	168.546i	−0.302978	+	0.262532i
$643$			343.823i			0.534717i	0.963597	+	0.267359i	$0.0861509\pi$
$643$			343.823i			0.534717i	−0.963597	+	0.267359i	$0.913849\pi$
$644$	−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	−0.283168	−	0.959070i	$-0.591385\pi$
$647$	−823.761	−	529.399i	−1.27320	−	0.818237i	−0.990033	+	0.140833i	$0.955022\pi$
$648$	−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	0.891195	−	0.453620i	$-0.149867\pi$
$653$	−23.0092	−	50.3832i	−0.0352362	−	0.0771565i	−0.926432	+	0.376463i	$0.877140\pi$
$654$	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	0.860910	−	0.508758i	$-0.169895\pi$
$659$	26.6846	+	41.5221i	0.0404926	+	0.0630077i	−0.820417	+	0.571765i	$0.806259\pi$
$660$	103.455	+	30.3772i	0.156750	+	0.0460261i
$661$	−95.5277	+	13.7348i	−0.144520	+	0.0207788i	−0.214195	−	0.976791i	$-0.568713\pi$
$661$	−95.5277	+	13.7348i	−0.144520	+	0.0207788i	0.0696751	+	0.997570i	$0.477804\pi$
$662$	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	0.989059	+	0.147522i	$0.0471299\pi$
$673$	54.9341	+	382.075i	0.0816257	+	0.567719i	−0.907433	+	0.420197i	$0.861961\pi$
$674$	−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	0.906798	+	0.421565i	$0.138519\pi$
$677$	251.753	+	857.393i	0.371866	+	1.26646i	−0.534932	+	0.844895i	$0.679663\pi$
$678$	−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	−0.224836	−	0.974397i	$-0.572184\pi$
$683$	−642.551	−	188.670i	−0.940778	−	0.276237i	−0.715942	+	0.698159i	$0.754003\pi$
$684$	−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	0.711508	−	0.702678i	$-0.248013\pi$
$701$	82.1853	+	71.2140i	0.117240	+	0.101589i	−0.594268	+	0.804267i	$0.702558\pi$
$702$	−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	0.647370	−	0.762175i	$-0.275869\pi$
$709$	747.136	+	107.422i	1.05379	+	0.151512i	0.406418	+	0.913687i	$0.366778\pi$
$710$	−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	−0.945971	−	0.324250i	$-0.894888\pi$
$719$	−93.2329	−	648.449i	−0.129670	−	0.901877i	0.816301	−	0.577627i	$-0.196021\pi$
$720$	−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	−0.764322	−	0.644835i	$-0.776926\pi$
$727$	−565.251	+	258.141i	−0.777512	+	0.355078i	−0.0131901	+	0.999913i	$0.504199\pi$
$728$	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	−0.0308548	+	0.999524i	$0.509823\pi$
$733$	−679.664	+	1057.58i	−0.927236	+	1.44281i	−0.896381	+	0.443284i	$0.853813\pi$
$734$	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	0.456692	−	0.889625i	$-0.349034\pi$
$739$	−120.326	−	77.3291i	−0.162823	−	0.104640i	−0.619515	+	0.784985i	$0.712671\pi$
$740$	−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	−0.963129	−	0.269040i	$-0.913294\pi$
$743$	−5.52759	+	18.8252i	−0.00743955	+	0.0253368i	0.955690	+	0.294376i	$0.0951119\pi$
$744$	−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	0.815914	−	0.578174i	$-0.196234\pi$
$751$	−36.7646	−	57.2068i	−0.0489542	−	0.0761741i	−0.864868	+	0.501999i	$0.832598\pi$
$752$	−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	−0.733152	−	0.680064i	$-0.761952\pi$
$757$	−124.412	+	107.803i	−0.164349	+	0.142409i	0.568804	+	0.822473i	$0.307406\pi$
$758$			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	0.653864	−	0.756612i	$-0.273147\pi$
$761$	−143.146	−	165.199i	−0.188102	−	0.217081i	−0.841966	+	0.539531i	$0.818601\pi$
$762$	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	−0.720228	−	0.693737i	$-0.755963\pi$
$769$	−376.346	−	1281.72i	−0.489396	−	1.66673i	0.230832	−	0.972994i	$-0.425855\pi$
$770$	−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	0.739278	−	0.673400i	$-0.235167\pi$
$773$	1339.09	−	611.540i	1.73232	−	0.791126i	0.993046	−	0.117726i	$-0.0375604\pi$
$774$	−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	0.487799	−	0.872956i	$-0.337800\pi$
$787$	116.086	+	53.0146i	0.147504	+	0.0673628i	−0.340295	+	0.940319i	$0.610527\pi$
$788$	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	0.948338	−	0.317263i	$-0.102764\pi$
$797$	211.836	+	329.623i	0.265791	+	0.413579i	−0.682546	+	0.730842i	$0.739127\pi$
$798$	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	−0.605662	−	0.795722i	$-0.707092\pi$
$809$	161.515	−	1123.36i	0.199647	−	1.38858i	0.805309	−	0.592855i	$-0.201999\pi$
$810$	−702.361	−	320.757i	−0.867112	−	0.395997i
$811$	35.8729	+	249.502i	0.0442329	+	0.307647i	0.999912	+	0.0132376i	$0.00421377\pi$
$811$	35.8729	+	249.502i	0.0442329	+	0.307647i	−0.955679	+	0.294409i	$0.904877\pi$
$812$	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	0.678410	−	0.734683i	$-0.262669\pi$
$821$	699.431	+	205.371i	0.851926	+	0.250148i	0.173515	+	0.984831i	$0.444487\pi$
$822$	958.968	−	137.879i	1.16663	−	0.167736i
$823$	−64.6418	+	141.546i	−0.0785441	+	0.171987i	−0.944830	−	0.327561i	$-0.893773\pi$
$823$	−64.6418	+	141.546i	−0.0785441	+	0.171987i	0.866286	+	0.499548i	$0.166501\pi$
$824$	−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	$-0.974860\pi$
$827$		−	130.497i		−	0.157796i	0.996883	−	0.0788979i	$-0.0251401\pi$
$828$	−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	0.872132	−	0.489271i	$-0.162737\pi$
$839$	429.532	+	372.192i	0.511957	+	0.443614i	−0.360174	+	0.932885i	$0.617283\pi$
$840$	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	−0.979727	−	0.200339i	$-0.935796\pi$
$853$	−885.923	−	1022.41i	−1.03860	−	1.19860i	−0.0588700	−	0.998266i	$-0.518750\pi$
$854$	−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	0.695978	+	0.718063i	$0.254971\pi$
$857$	197.533	+	1373.87i	0.230494	+	1.60312i	−0.465484	+	0.885056i	$0.654120\pi$
$858$	−31.8800	+	108.573i	−0.0371562	+	0.126542i
$859$	434.943	−	279.521i	0.506337	−	0.325403i	−0.262410	−	0.964957i	$-0.584517\pi$
$859$	434.943	−	279.521i	0.506337	−	0.325403i	0.768747	+	0.639554i	$0.220881\pi$
$860$	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	−0.523858	−	0.851806i	$-0.675508\pi$
$863$	339.876	−	392.238i	0.393831	−	0.454505i	0.917688	+	0.397301i	$0.130053\pi$
$864$	−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	0.784897	−	0.619626i	$-0.212716\pi$
$877$	480.003	+	308.479i	0.547324	+	0.351744i	−0.237573	+	0.971370i	$0.576352\pi$
$878$	−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	−0.914393	−	0.404828i	$-0.867331\pi$
$881$	64.9385	−	221.160i	0.0737099	−	0.251033i	0.988103	+	0.153795i	$0.0491496\pi$
$882$	−658.385	+	423.118i	−0.746468	+	0.479726i
$883$	−442.707	−	969.393i	−0.501367	−	1.09784i	−0.976023	−	0.217669i	$-0.930155\pi$
$883$	−442.707	−	969.393i	−0.501367	−	1.09784i	0.474656	−	0.880172i	$-0.342573\pi$
$884$	−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	0.141109	−	0.989994i	$-0.454933\pi$
$887$	705.208	−	207.068i	0.795049	−	0.233447i	0.653940	+	0.756547i	$0.273115\pi$
$888$	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	0.845030	−	0.534719i	$-0.179583\pi$
$907$	−140.535	−	478.620i	−0.154945	−	0.527696i	−0.999975	+	0.00702340i	$0.997764\pi$
$908$	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	−0.931032	−	0.364939i	$-0.881090\pi$
$911$	−1152.35	+	526.259i	−1.26493	+	0.577672i	−0.333894	+	0.942611i	$0.608363\pi$
$912$	−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	$0.258015\pi$
$919$			1331.97i			1.44937i	−0.689080	+	0.724685i	$0.741985\pi$
$920$	−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	0.987178	+	0.159620i	$0.0510270\pi$
$929$	428.591	+	938.484i	0.461347	+	1.01021i	−0.525831	+	0.850589i	$0.676246\pi$
$930$	−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	−0.560465	−	0.828178i	$-0.689377\pi$
$937$	−810.413	+	116.520i	−0.864902	+	0.124354i	−0.304437	+	0.952532i	$0.598468\pi$
$938$	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	−0.470009	−	0.882662i	$-0.655749\pi$
$941$	316.910	−	274.604i	0.336780	−	0.291821i	0.806788	+	0.590841i	$0.201204\pi$
$942$		−	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	−0.713355	−	0.700803i	$-0.752825\pi$
$947$	159.610	−	1110.11i	0.168543	−	1.17224i	0.881898	−	0.471441i	$-0.156266\pi$
$948$	−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	−0.943588	−	0.331123i	$-0.892573\pi$
$953$	−313.356	−	1067.19i	−0.328810	−	1.11982i	0.614778	−	0.788700i	$-0.289246\pi$
$954$	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	0.619681	−	0.784854i	$-0.287262\pi$
$971$	419.795	+	191.714i	0.432333	+	0.197440i	−0.187348	+	0.982294i	$0.559989\pi$
$972$	−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	0.960885	−	0.276948i	$-0.0893229\pi$
$977$	804.564	+	697.158i	0.823504	+	0.713571i	−0.137381	+	0.990518i	$0.543868\pi$
$978$	−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	0.665236	−	0.746634i	$-0.268331\pi$
$983$	1488.14	−	213.962i	1.51388	−	0.217662i	0.848640	+	0.528971i	$0.177422\pi$
$984$	−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	0.844578	−	0.535433i	$-0.179852\pi$
$991$	192.649	+	222.329i	0.194399	+	0.224348i	−0.650179	+	0.759781i	$0.725306\pi$
$992$	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	−0.158195	−	0.987408i	$-0.550567\pi$
$997$	672.244	−	432.025i	0.674267	−	0.433325i	0.832462	+	0.554083i	$0.186931\pi$
$998$	−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.10.1	yes	30
3.2	odd	2		207.3.j.a.10.3		30
4.3	odd	2		368.3.p.a.33.3		30
23.4	even	11		529.3.b.b.528.24		30
23.7	odd	22	inner	23.3.d.a.7.1	✓	30
23.19	odd	22		529.3.b.b.528.23		30
69.53	even	22		207.3.j.a.145.3		30
92.7	even	22		368.3.p.a.145.3		30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
23.3.d.a.7.1	✓	30	23.7	odd	22	inner
23.3.d.a.10.1	yes	30	1.1	even	1	trivial
207.3.j.a.10.3		30	3.2	odd	2
207.3.j.a.145.3		30	69.53	even	22
368.3.p.a.33.3		30	4.3	odd	2
368.3.p.a.145.3		30	92.7	even	22
529.3.b.b.528.23		30	23.19	odd	22
529.3.b.b.528.24		30	23.4	even	11

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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