LMFDB - Embedded newform 23.3.d.a.5.2

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			5.2
Character	$\chi$	$=$	23.5
Dual form			23.3.d.a.14.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.80062 - 0.528710i) q^{2} +(2.35762 - 2.72084i) q^{3} +(-0.402313 - 0.258551i) q^{4} +(5.05070 + 0.726181i) q^{5} +(-5.68372 + 3.65270i) q^{6} +(-8.85488 + 4.04389i) q^{7} +(5.50346 + 6.35133i) q^{8} +(-0.563759 - 3.92103i) q^{9} +O(q^{10})$	\(q+(-1.80062 - 0.528710i) q^{2} +(2.35762 - 2.72084i) q^{3} +(-0.402313 - 0.258551i) q^{4} +(5.05070 + 0.726181i) q^{5} +(-5.68372 + 3.65270i) q^{6} +(-8.85488 + 4.04389i) q^{7} +(5.50346 + 6.35133i) q^{8} +(-0.563759 - 3.92103i) q^{9} +(-8.71046 - 3.97793i) q^{10} +(2.47679 + 8.43516i) q^{11} +(-1.65198 + 0.485064i) q^{12} +(5.88998 - 12.8972i) q^{13} +(18.0823 - 2.59984i) q^{14} +(13.8835 - 12.0301i) q^{15} +(-5.75698 - 12.6060i) q^{16} +(-3.89198 - 6.05604i) q^{17} +(-1.05797 + 7.35835i) q^{18} +(-15.1071 + 23.5071i) q^{19} +(-1.84421 - 1.59802i) q^{20} +(-9.87368 + 33.6267i) q^{21} -16.4980i q^{22} +(-11.2623 - 20.0540i) q^{23} +30.2560 q^{24} +(0.994925 + 0.292136i) q^{25} +(-17.4245 + 20.1090i) q^{26} +(15.2604 + 9.80727i) q^{27} +(4.60798 + 0.662528i) q^{28} +(10.1696 - 6.53559i) q^{29} +(-31.3593 + 14.3213i) q^{30} +(-28.5951 - 33.0005i) q^{31} +(-1.08286 - 7.53147i) q^{32} +(28.7900 + 13.1480i) q^{33} +(3.80609 + 12.9624i) q^{34} +(-47.6599 + 13.9942i) q^{35} +(-0.786978 + 1.72324i) q^{36} +(32.2980 - 4.64376i) q^{37} +(39.6306 - 34.3401i) q^{38} +(-21.2050 - 46.4325i) q^{39} +(23.1841 + 36.0752i) q^{40} +(-8.24061 + 57.3147i) q^{41} +(35.5575 - 55.3285i) q^{42} +(-6.69490 - 5.80117i) q^{43} +(1.18447 - 4.03395i) q^{44} -20.2133i q^{45} +(9.67632 + 42.0641i) q^{46} +10.4739 q^{47} +(-47.8717 - 14.0564i) q^{48} +(29.9676 - 34.5845i) q^{49} +(-1.63703 - 1.05205i) q^{50} +(-25.6533 - 3.68839i) q^{51} +(-5.70421 + 3.66587i) q^{52} +(20.7485 - 9.47552i) q^{53} +(-22.2930 - 25.7275i) q^{54} +(6.38405 + 44.4021i) q^{55} +(-74.4165 - 33.9849i) q^{56} +(28.3423 + 96.5249i) q^{57} +(-21.7670 + 6.39136i) q^{58} +(-3.35452 + 7.34538i) q^{59} +(-8.69589 + 1.25028i) q^{60} +(-13.7498 + 11.9143i) q^{61} +(34.0412 + 74.5399i) q^{62} +(20.8482 + 32.4405i) q^{63} +(-9.92115 + 69.0031i) q^{64} +(39.1143 - 60.8630i) q^{65} +(-44.8885 - 38.8961i) q^{66} +(21.0871 - 71.8162i) q^{67} +3.44270i q^{68} +(-81.1158 - 16.6369i) q^{69} +93.2164 q^{70} +(48.3749 + 14.2042i) q^{71} +(21.8011 - 25.1599i) q^{72} +(-61.7090 - 39.6580i) q^{73} +(-60.6117 - 8.71465i) q^{74} +(3.14051 - 2.01829i) q^{75} +(12.1556 - 5.55126i) q^{76} +(-56.0425 - 64.6765i) q^{77} +(13.6329 + 94.8187i) q^{78} +(56.1842 + 25.6584i) q^{79} +(-19.9225 - 67.8499i) q^{80} +(96.8703 - 28.4437i) q^{81} +(45.1411 - 98.8452i) q^{82} +(75.3740 - 10.8371i) q^{83} +(12.6665 - 10.9756i) q^{84} +(-15.2595 - 33.4135i) q^{85} +(8.98785 + 13.9854i) q^{86} +(6.19372 - 43.0783i) q^{87} +(-39.9436 + 62.1535i) q^{88} +(44.2758 + 38.3652i) q^{89} +(-10.6870 + 36.3966i) q^{90} +138.022i q^{91} +(-0.654018 + 10.9798i) q^{92} -157.206 q^{93} +(-18.8596 - 5.53766i) q^{94} +(-93.3719 + 107.757i) q^{95} +(-23.0449 - 14.8101i) q^{96} +(8.57277 + 1.23258i) q^{97} +(-72.2455 + 46.4294i) q^{98} +(31.6782 - 14.4670i) 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 $\left(\mathbb{Z}/23\mathbb{Z}\right)^\times$.

$n$	$5$
$\chi(n)$	$e\left(\frac{1}{22}\right)$

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 $

$2$	−1.80062	−	0.528710i	−0.900310	−	0.264355i	−0.201353	−	0.979519i	$-0.564534\pi$
$2$	−1.80062	−	0.528710i	−0.900310	−	0.264355i	−0.698957	+	0.715164i	$0.746352\pi$
$3$	2.35762	−	2.72084i	0.785874	−	0.906947i	−0.211645	−	0.977347i	$-0.567882\pi$
$3$	2.35762	−	2.72084i	0.785874	−	0.906947i	0.997519	+	0.0703999i	$0.0224275\pi$
$4$	−0.402313	−	0.258551i	−0.100578	−	0.0646377i
$5$	5.05070	+	0.726181i	1.01014	+	0.145236i	0.627463	−	0.778646i	$-0.284093\pi$
$5$	5.05070	+	0.726181i	1.01014	+	0.145236i	0.382677	+	0.923882i	$0.375002\pi$
$6$	−5.68372	+	3.65270i	−0.947286	+	0.608784i
$7$	−8.85488	+	4.04389i	−1.26498	+	0.577698i	−0.931047	−	0.364898i	$-0.881104\pi$
$7$	−8.85488	+	4.04389i	−1.26498	+	0.577698i	−0.333935	+	0.942596i	$0.608377\pi$
$8$	5.50346	+	6.35133i	0.687933	+	0.793916i
$9$	−0.563759	−	3.92103i	−0.0626399	−	0.435670i
$10$	−8.71046	−	3.97793i	−0.871046	−	0.397793i
$11$	2.47679	+	8.43516i	0.225162	+	0.766833i	0.992137	+	0.125155i	$0.0399430\pi$
$11$	2.47679	+	8.43516i	0.225162	+	0.766833i	−0.766975	+	0.641677i	$0.778239\pi$
$12$	−1.65198	+	0.485064i	−0.137665	+	0.0404220i
$13$	5.88998	−	12.8972i	0.453075	−	0.992096i	−0.535937	−	0.844258i	$-0.680041\pi$
$13$	5.88998	−	12.8972i	0.453075	−	0.992096i	0.989012	−	0.147838i	$-0.0472314\pi$
$14$	18.0823	−	2.59984i	1.29159	−	0.185703i
$15$	13.8835	−	12.0301i	0.925564	−	0.802006i
$16$	−5.75698	−	12.6060i	−0.359811	−	0.787876i
$17$	−3.89198	−	6.05604i	−0.228940	−	0.356238i	0.707711	−	0.706502i	$-0.249728\pi$
$17$	−3.89198	−	6.05604i	−0.228940	−	0.356238i	−0.936651	+	0.350265i	$0.886092\pi$
$18$	−1.05797	+	7.35835i	−0.0587762	+	0.408797i
$19$	−15.1071	+	23.5071i	−0.795111	+	1.23722i	0.172560	+	0.984999i	$0.444796\pi$
$19$	−15.1071	+	23.5071i	−0.795111	+	1.23722i	−0.967671	+	0.252217i	$0.918840\pi$
$20$	−1.84421	−	1.59802i	−0.0922104	−	0.0799008i
$21$	−9.87368	+	33.6267i	−0.470175	+	1.60127i
$22$		−	16.4980i		−	0.749910i
$23$	−11.2623	−	20.0540i	−0.489663	−	0.871912i
$23$	−11.2623	−	20.0540i	−0.489663	−	0.871912i
$24$	30.2560			1.26067
$25$	0.994925	+	0.292136i	0.0397970	+	0.0116855i
$26$	−17.4245	+	20.1090i	−0.670174	+	0.773422i
$27$	15.2604	+	9.80727i	0.565200	+	0.363232i
$28$	4.60798	+	0.662528i	0.164571	+	0.0236617i
$29$	10.1696	−	6.53559i	0.350675	−	0.225365i	−0.353430	−	0.935461i	$-0.614985\pi$
$29$	10.1696	−	6.53559i	0.350675	−	0.225365i	0.704105	+	0.710096i	$0.251348\pi$
$30$	−31.3593	+	14.3213i	−1.04531	+	0.477377i
$31$	−28.5951	−	33.0005i	−0.922423	−	1.06453i	−0.997728	−	0.0673722i	$-0.978539\pi$
$31$	−28.5951	−	33.0005i	−0.922423	−	1.06453i	0.0753051	−	0.997161i	$-0.476007\pi$
$32$	−1.08286	−	7.53147i	−0.0338394	−	0.235358i
$33$	28.7900	+	13.1480i	0.872426	+	0.398423i
$34$	3.80609	+	12.9624i	0.111944	+	0.381246i
$35$	−47.6599	+	13.9942i	−1.36171	+	0.399835i
$36$	−0.786978	+	1.72324i	−0.0218605	+	0.0478678i
$37$	32.2980	−	4.64376i	0.872920	−	0.125507i	0.308728	−	0.951150i	$-0.400097\pi$
$37$	32.2980	−	4.64376i	0.872920	−	0.125507i	0.564192	+	0.825643i	$0.309188\pi$
$38$	39.6306	−	34.3401i	1.04291	−	0.903687i
$39$	−21.2050	−	46.4325i	−0.543718	−	1.19058i
$40$	23.1841	+	36.0752i	0.579603	+	0.901880i
$41$	−8.24061	+	57.3147i	−0.200991	+	1.39792i	0.600362	+	0.799728i	$0.295023\pi$
$41$	−8.24061	+	57.3147i	−0.200991	+	1.39792i	−0.801353	+	0.598192i	$0.795886\pi$
$42$	35.5575	−	55.3285i	0.846607	−	1.31735i
$43$	−6.69490	−	5.80117i	−0.155695	−	0.134911i	0.573530	−	0.819185i	$-0.305574\pi$
$43$	−6.69490	−	5.80117i	−0.155695	−	0.134911i	−0.729225	+	0.684274i	$0.760119\pi$
$44$	1.18447	−	4.03395i	0.0269199	−	0.0916807i
$45$		−	20.2133i		−	0.449185i
$46$	9.67632	+	42.0641i	0.210355	+	0.914436i
$47$	10.4739			0.222849			0.111425	−	0.993773i	$-0.464459\pi$
$47$	10.4739			0.222849			0.111425	+	0.993773i	$0.464459\pi$
$48$	−47.8717	−	14.0564i	−0.997328	−	0.292842i
$49$	29.9676	−	34.5845i	0.611584	−	0.705806i
$50$	−1.63703	−	1.05205i	−0.0327405	−	0.0210411i
$51$	−25.6533	−	3.68839i	−0.503007	−	0.0723214i
$52$	−5.70421	+	3.66587i	−0.109696	+	0.0704975i
$53$	20.7485	−	9.47552i	0.391481	−	0.178783i	−0.209943	−	0.977714i	$-0.567328\pi$
$53$	20.7485	−	9.47552i	0.391481	−	0.178783i	0.601424	+	0.798930i	$0.294600\pi$
$54$	−22.2930	−	25.7275i	−0.412833	−	0.476435i
$55$	6.38405	+	44.4021i	0.116074	+	0.807310i
$56$	−74.4165	−	33.9849i	−1.32887	−	0.606873i
$57$	28.3423	+	96.5249i	0.497233	+	1.69342i
$58$	−21.7670	+	6.39136i	−0.375293	+	0.110196i
$59$	−3.35452	+	7.34538i	−0.0568563	+	0.124498i	−0.935928	−	0.352192i	$-0.885436\pi$
$59$	−3.35452	+	7.34538i	−0.0568563	+	0.124498i	0.879071	+	0.476690i	$0.158164\pi$
$60$	−8.69589	+	1.25028i	−0.144931	+	0.0208380i
$61$	−13.7498	+	11.9143i	−0.225407	+	0.195317i	−0.760242	−	0.649640i	$-0.774919\pi$
$61$	−13.7498	+	11.9143i	−0.225407	+	0.195317i	0.534834	+	0.844957i	$0.320374\pi$
$62$	34.0412	+	74.5399i	0.549052	+	1.20226i
$63$	20.8482	+	32.4405i	0.330924	+	0.514928i
$64$	−9.92115	+	69.0031i	−0.155018	+	1.07817i
$65$	39.1143	−	60.8630i	0.601758	−	0.936353i
$66$	−44.8885	−	38.8961i	−0.680129	−	0.589335i
$67$	21.0871	−	71.8162i	0.314733	−	1.07188i	−0.638493	−	0.769627i	$-0.720442\pi$
$67$	21.0871	−	71.8162i	0.314733	−	1.07188i	0.953227	−	0.302256i	$-0.0977398\pi$
$68$			3.44270i			0.0506279i
$69$	−81.1158	−	16.6369i	−1.17559	−	0.241114i
$70$	93.2164			1.33166
$71$	48.3749	+	14.2042i	0.681337	+	0.200059i	0.604045	−	0.796950i	$-0.293555\pi$
$71$	48.3749	+	14.2042i	0.681337	+	0.200059i	0.0772916	+	0.997009i	$0.475373\pi$
$72$	21.8011	−	25.1599i	0.302794	−	0.349442i
$73$	−61.7090	−	39.6580i	−0.845329	−	0.543260i	0.0447858	−	0.998997i	$-0.485739\pi$
$73$	−61.7090	−	39.6580i	−0.845329	−	0.543260i	−0.890115	+	0.455737i	$0.849376\pi$
$74$	−60.6117	−	8.71465i	−0.819077	−	0.117766i
$75$	3.14051	−	2.01829i	0.0418735	−	0.0269105i
$76$	12.1556	−	5.55126i	0.159942	−	0.0730429i
$77$	−56.0425	−	64.6765i	−0.727824	−	0.839954i
$78$	13.6329	+	94.8187i	0.174780	+	1.21562i
$79$	56.1842	+	25.6584i	0.711192	+	0.324790i	0.737954	−	0.674851i	$-0.235792\pi$
$79$	56.1842	+	25.6584i	0.711192	+	0.324790i	−0.0267618	+	0.999642i	$0.508520\pi$
$80$	−19.9225	−	67.8499i	−0.249031	−	0.848123i
$81$	96.8703	−	28.4437i	1.19593	−	0.351157i
$82$	45.1411	−	98.8452i	0.550501	−	1.20543i
$83$	75.3740	−	10.8371i	0.908120	−	0.130568i	0.327603	−	0.944816i	$-0.393759\pi$
$83$	75.3740	−	10.8371i	0.908120	−	0.130568i	0.580518	+	0.814248i	$0.302850\pi$
$84$	12.6665	−	10.9756i	0.150792	−	0.130662i
$85$	−15.2595	−	33.4135i	−0.179523	−	0.393100i
$86$	8.98785	+	13.9854i	0.104510	+	0.162620i
$87$	6.19372	−	43.0783i	0.0711922	−	0.495152i
$88$	−39.9436	+	62.1535i	−0.453905	+	0.706289i
$89$	44.2758	+	38.3652i	0.497481	+	0.431070i	0.867115	−	0.498107i	$-0.165972\pi$
$89$	44.2758	+	38.3652i	0.497481	+	0.431070i	−0.369634	+	0.929177i	$0.620517\pi$
$90$	−10.6870	+	36.3966i	−0.118744	+	0.404406i
$91$			138.022i			1.51672i
$92$	−0.654018	+	10.9798i	−0.00710889	+	0.119346i
$93$	−157.206			−1.69038
$94$	−18.8596	−	5.53766i	−0.200634	−	0.0589113i
$95$	−93.3719	+	107.757i	−0.982862	+	1.13428i
$96$	−23.0449	−	14.8101i	−0.240051	−	0.154271i
$97$	8.57277	+	1.23258i	0.0883791	+	0.0127070i	0.186362	−	0.982481i	$-0.440330\pi$
$97$	8.57277	+	1.23258i	0.0883791	+	0.0127070i	−0.0979834	+	0.995188i	$0.531239\pi$
$98$	−72.2455	+	46.4294i	−0.737199	+	0.473769i
$99$	31.6782	−	14.4670i	0.319982	−	0.146131i
$100$	−0.324739	−	0.374769i	−0.00324739	−	0.00374769i
$101$	−11.5449	−	80.2967i	−0.114306	−	0.795017i	−0.963648	−	0.267174i	$-0.913910\pi$
$101$	−11.5449	−	80.2967i	−0.114306	−	0.795017i	0.849342	−	0.527843i	$-0.176999\pi$
$102$	44.2418	+	20.2046i	0.433744	+	0.198084i
$103$	−15.5469	−	52.9480i	−0.150941	−	0.514058i	0.848955	−	0.528465i	$-0.177232\pi$
$103$	−15.5469	−	52.9480i	−0.150941	−	0.514058i	−0.999896	+	0.0144067i	$0.995414\pi$
$104$	114.330	−	33.5703i	1.09933	−	0.322791i
$105$	−74.2880	+	162.668i	−0.707505	+	1.54922i
$106$	−42.3700	+	6.09188i	−0.399717	+	0.0574706i
$107$	−9.87772	+	8.55910i	−0.0923152	+	0.0799916i	−0.699796	−	0.714343i	$-0.746726\pi$
$107$	−9.87772	+	8.55910i	−0.0923152	+	0.0799916i	0.607481	+	0.794334i	$0.292180\pi$
$108$	−3.60378	−	7.89118i	−0.0333684	−	0.0730665i
$109$	6.22071	+	9.67961i	0.0570707	+	0.0888038i	0.868616	−	0.495485i	$-0.165010\pi$
$109$	6.22071	+	9.67961i	0.0570707	+	0.0888038i	−0.811546	+	0.584289i	$0.801373\pi$
$110$	11.9806	−	83.3266i	0.108914	−	0.757515i
$111$	63.5116	−	98.8260i	0.572177	−	0.890325i
$112$	101.955	+	88.3442i	0.910309	+	0.788787i
$113$	−31.9685	+	108.875i	−0.282907	+	0.963492i	0.688334	+	0.725393i	$0.258342\pi$
$113$	−31.9685	+	108.875i	−0.282907	+	0.963492i	−0.971241	+	0.238098i	$0.923476\pi$
$114$		−	188.790i		−	1.65605i
$115$	−42.3195	−	109.465i	−0.367996	−	0.951870i
$116$	−5.78114			−0.0498374
$117$	−53.8910	−	15.8238i	−0.460607	−	0.135246i
$118$	9.92380	−	11.4527i	0.0841000	−	0.0970566i
$119$	58.9529	+	37.8868i	0.495403	+	0.318376i
$120$	152.814	+	21.9714i	1.27345	+	0.183095i
$121$	36.7742	−	23.6334i	0.303919	−	0.195317i
$122$	31.0575	−	14.1835i	0.254569	−	0.116258i
$123$	136.516	+	157.548i	1.10989	+	1.28088i
$124$	2.97187	+	20.6698i	0.0239667	+	0.166692i
$125$	−111.225	−	50.7948i	−0.889801	−	0.406359i
$126$	−20.3881	−	69.4356i	−0.161811	−	0.551076i
$127$	−204.615	+	60.0803i	−1.61114	+	0.473073i	−0.958618	−	0.284696i	$-0.908107\pi$
$127$	−204.615	+	60.0803i	−1.61114	+	0.473073i	−0.652522	+	0.757770i	$0.726289\pi$
$128$	41.7034	−	91.3178i	0.325808	−	0.713420i
$129$	−31.5681	+	4.53881i	−0.244714	+	0.0351845i
$130$	−102.609	+	88.9110i	−0.789298	+	0.683931i
$131$	−21.7675	−	47.6641i	−0.166164	−	0.363848i	0.808172	−	0.588946i	$-0.200457\pi$
$131$	−21.7675	−	47.6641i	−0.166164	−	0.363848i	−0.974336	+	0.225098i	$0.927730\pi$
$132$	−8.18319	−	12.7333i	−0.0619939	−	0.0964643i
$133$	38.7114	−	269.244i	0.291063	−	2.02439i
$134$	−75.9399	+	118.165i	−0.566716	+	0.881827i
$135$	69.9539	+	60.6154i	0.518177	+	0.449003i
$136$	17.0446	−	58.0484i	0.125328	−	0.426827i
$137$			106.954i			0.780685i	0.920670	+	0.390343i	$0.127643\pi$
$137$			106.954i			0.780685i	−0.920670	+	0.390343i	$0.872357\pi$
$138$	137.263	+	72.8434i	0.994657	+	0.527851i
$139$	34.0787			0.245170			0.122585	−	0.992458i	$-0.460882\pi$
$139$	34.0787			0.245170			0.122585	+	0.992458i	$0.460882\pi$
$140$	22.7924	+	6.69246i	0.162803	+	0.0478033i
$141$	24.6935	−	28.4979i	0.175131	−	0.202112i
$142$	−79.5950	−	51.1526i	−0.560528	−	0.360230i
$143$	123.379	+	17.7392i	0.862787	+	0.124050i
$144$	−46.1830	+	29.6800i	−0.320716	+	0.206111i
$145$	56.1095	−	25.6244i	0.386962	−	0.176720i
$146$	90.1469	+	104.035i	0.617445	+	0.712569i
$147$	−23.4465	−	163.074i	−0.159500	−	1.10935i
$148$	−14.1946	−	6.48244i	−0.0959092	−	0.0438003i
$149$	9.30643	+	31.6948i	0.0624593	+	0.212717i	0.984810	−	0.173638i	$-0.0555522\pi$
$149$	9.30643	+	31.6948i	0.0624593	+	0.212717i	−0.922350	+	0.386355i	$0.873734\pi$
$150$	−6.72196	+	1.97375i	−0.0448131	+	0.0131583i
$151$	0.559226	−	1.22453i	0.00370348	−	0.00810950i	−0.907771	−	0.419466i	$-0.862217\pi$
$151$	0.559226	−	1.22453i	0.00370348	−	0.00810950i	0.911475	+	0.411356i	$0.134945\pi$
$152$	−232.443	+	33.4202i	−1.52923	+	0.219870i
$153$	−21.5518	+	18.6747i	−0.140861	+	0.122057i
$154$	66.7161	+	146.088i	0.433222	+	0.948623i
$155$	−120.461	−	187.441i	−0.777168	−	1.20930i
$156$	−3.47411	+	24.1630i	−0.0222699	+	0.154891i
$157$	−141.013	+	219.421i	−0.898173	+	1.39758i	0.0193120	+	0.999814i	$0.493852\pi$
$157$	−141.013	+	219.421i	−0.898173	+	1.39758i	−0.917485	+	0.397771i	$0.869784\pi$
$158$	−87.6005	−	75.9062i	−0.554433	−	0.480419i
$159$	23.1357	−	78.7930i	0.145508	−	0.495554i
$160$		−	38.8256i		−	0.242660i
$161$	180.822	+	132.032i	1.12312	+	0.820075i
$162$	−189.465			−1.16954
$163$	91.1526	+	26.7648i	0.559218	+	0.164201i	0.549114	−	0.835748i	$-0.314965\pi$
$163$	91.1526	+	26.7648i	0.559218	+	0.164201i	0.0101046	+	0.999949i	$0.496784\pi$
$164$	18.1341	−	20.9278i	0.110574	−	0.127609i
$165$	135.862	+	87.3133i	0.823407	+	0.529171i
$166$	−141.450	−	20.3374i	−0.852106	−	0.122514i
$167$	29.4169	−	18.9051i	0.176149	−	0.113204i	−0.449595	−	0.893233i	$-0.648432\pi$
$167$	29.4169	−	18.9051i	0.176149	−	0.113204i	0.625744	+	0.780028i	$0.284795\pi$
$168$	−267.913	+	122.352i	−1.59472	+	0.728286i
$169$	−20.9758	−	24.2073i	−0.124117	−	0.143239i
$170$	9.81042	+	68.2329i	0.0577083	+	0.401370i
$171$	100.689	+	45.9831i	0.588824	+	0.268907i
$172$	1.19355	+	4.06486i	0.00693924	+	0.0236329i
$173$	265.140	−	77.8521i	1.53260	−	0.450012i	0.596755	−	0.802423i	$-0.296456\pi$
$173$	265.140	−	77.8521i	1.53260	−	0.450012i	0.935845	+	0.352411i	$0.114638\pi$
$174$	−33.9284	+	74.2929i	−0.194991	+	0.426971i
$175$	−9.99130	+	1.43653i	−0.0570932	+	0.00820876i
$176$	92.0750	−	79.7834i	0.523153	−	0.453315i
$177$	12.0769	+	26.4448i	0.0682312	+	0.149405i
$178$	−59.4399	−	92.4903i	−0.333932	−	0.519608i
$179$	−21.3157	+	148.254i	−0.119082	+	0.828235i	0.839488	+	0.543378i	$0.182855\pi$
$179$	−21.3157	+	148.254i	−0.119082	+	0.828235i	−0.958570	+	0.284857i	$0.908054\pi$
$180$	−5.22618	+	8.13209i	−0.0290343	+	0.0451783i
$181$	−201.724	−	174.795i	−1.11450	−	0.965716i	−0.114879	−	0.993380i	$-0.536648\pi$
$181$	−201.724	−	174.795i	−1.11450	−	0.965716i	−0.999617	+	0.0276634i	$0.991193\pi$
$182$	72.9736	−	248.525i	0.400954	−	1.36552i
$183$			65.5006i			0.357927i
$184$	65.3880	−	181.897i	0.355370	−	0.988568i
$185$	166.500			0.900000
$186$	283.068	+	83.1162i	1.52187	+	0.446861i
$187$	41.4441	−	47.8290i	0.221626	−	0.255770i
$188$	−4.21379	−	2.70804i	−0.0224138	−	0.0144045i
$189$	−174.789	−	25.1308i	−0.924807	−	0.132967i
$190$	225.100	−	144.663i	1.18473	−	0.761383i
$191$	138.824	−	63.3989i	0.726828	−	0.331931i	−0.0174076	−	0.999848i	$-0.505541\pi$
$191$	138.824	−	63.3989i	0.726828	−	0.331931i	0.744235	+	0.667917i	$0.232814\pi$
$192$	164.356	+	189.677i	0.856021	+	0.987901i
$193$	−45.5759	−	316.988i	−0.236145	−	1.64242i	−0.670665	−	0.741760i	$-0.733991\pi$
$193$	−45.5759	−	316.988i	−0.236145	−	1.64242i	0.434520	−	0.900662i	$-0.356918\pi$
$194$	−14.7846	−	6.75192i	−0.0762095	−	0.0348037i
$195$	−73.3818	−	249.915i	−0.376317	−	1.28162i
$196$	−20.9982	+	6.16563i	−0.107134	+	0.0314573i
$197$	−73.7423	+	161.473i	−0.374326	+	0.819660i	0.624914	+	0.780693i	$0.285134\pi$
$197$	−73.7423	+	161.473i	−0.374326	+	0.819660i	−0.999241	+	0.0389669i	$0.987593\pi$
$198$	−64.6893	+	9.30091i	−0.326713	+	0.0469743i
$199$	−221.772	+	192.167i	−1.11443	+	0.965662i	−0.999616	−	0.0277240i	$-0.991174\pi$
$199$	−221.772	+	192.167i	−1.11443	+	0.965662i	−0.114818	+	0.993387i	$0.536629\pi$
$200$	3.62008	+	7.92686i	0.0181004	+	0.0396343i
$201$	−145.685	−	226.690i	−0.724801	−	1.12781i
$202$	−21.6656	+	150.688i	−0.107256	+	0.745979i
$203$	−63.6212	+	98.9965i	−0.313405	+	0.487667i
$204$	9.36703	+	8.11658i	0.0459168	+	0.0397872i
$205$	−83.2417	+	283.495i	−0.406057	+	1.38290i
$206$			103.559i			0.502714i
$207$	−72.2830	+	55.4652i	−0.349193	+	0.267948i
$208$	−196.491			−0.944670
$209$	−235.703	−	69.2087i	−1.12777	−	0.331142i
$210$	219.769	−	253.627i	1.04652	−	1.20775i
$211$	257.573	+	165.532i	1.22072	+	0.784512i	0.982421	−	0.186679i	$-0.0597725\pi$
$211$	257.573	+	165.532i	1.22072	+	0.784512i	0.238303	+	0.971191i	$0.423409\pi$
$212$	−10.7973	−	1.55242i	−0.0509306	−	0.00732272i
$213$	152.697	−	98.1324i	0.716887	−	0.460715i
$214$	22.3113	−	10.1892i	0.104258	−	0.0476133i
$215$	−29.6013	−	34.1617i	−0.137680	−	0.158891i
$216$	21.6958	+	150.898i	0.100444	+	0.698601i
$217$	386.656	+	176.580i	1.78183	+	0.813733i
$218$	−6.08343	−	20.7183i	−0.0279056	−	0.0950379i
$219$	−253.389	+	74.4019i	−1.15703	+	0.339735i
$220$	8.91180	−	19.5141i	0.0405082	−	0.0887006i
$221$	−101.030	+	14.5259i	−0.457149	+	0.0657281i
$222$	−166.611	+	144.369i	−0.750499	+	0.650311i
$223$	137.813	+	301.768i	0.617995	+	1.35322i	0.916969	+	0.398958i	$0.130628\pi$
$223$	137.813	+	301.768i	0.617995	+	1.35322i	−0.298974	+	0.954261i	$0.596645\pi$
$224$	40.0450	+	62.3112i	0.178772	+	0.278175i
$225$	0.584577	−	4.06583i	0.00259812	−	0.0180703i
$226$	115.126	−	179.140i	0.509408	−	0.792654i
$227$	−282.576	−	244.854i	−1.24483	−	1.07865i	−0.993859	−	0.110655i	$-0.964705\pi$
$227$	−282.576	−	244.854i	−1.24483	−	1.07865i	−0.250970	−	0.967995i	$-0.580750\pi$
$228$	13.5541	−	46.1611i	0.0594479	−	0.202461i
$229$		−	84.0460i		−	0.367013i	−0.983019	−	0.183506i	$-0.941255\pi$
$229$		−	84.0460i		−	0.367013i	0.983019	−	0.183506i	$-0.0587448\pi$
$230$	18.3261	+	219.480i	0.0796786	+	0.954260i
$231$	−308.101			−1.33377
$232$	97.4776	+	28.6220i	0.420162	+	0.123371i
$233$	−273.321	+	315.429i	−1.17305	+	1.35377i	−0.250399	+	0.968143i	$0.580562\pi$
$233$	−273.321	+	315.429i	−1.17305	+	1.35377i	−0.922653	+	0.385632i	$0.873984\pi$
$234$	88.6711	+	56.9854i	0.378936	+	0.243528i
$235$	52.9006	+	7.60596i	0.225109	+	0.0323658i
$236$	3.24872	−	2.08783i	0.0137658	−	0.00884673i
$237$	202.273	−	92.3752i	0.853475	−	0.389769i
$238$	−86.1208	−	99.3887i	−0.361852	−	0.417600i
$239$	−32.7006	−	227.437i	−0.136822	−	0.951621i	−0.936369	−	0.351017i	$-0.885836\pi$
$239$	−32.7006	−	227.437i	−0.136822	−	0.951621i	0.799547	−	0.600604i	$-0.205073\pi$
$240$	−231.578	−	105.758i	−0.964910	−	0.440660i
$241$	57.5228	+	195.905i	0.238684	+	0.812883i	0.988498	+	0.151234i	$0.0483248\pi$
$241$	57.5228	+	195.905i	0.238684	+	0.812883i	−0.749814	+	0.661649i	$0.769857\pi$
$242$	−78.7116	+	23.1118i	−0.325255	+	0.0955034i
$243$	83.1718	−	182.121i	0.342271	−	0.749468i
$244$	8.61220	−	1.23825i	0.0352959	−	0.00507478i
$245$	176.472	−	152.914i	0.720295	−	0.624139i
$246$	−162.516	−	355.861i	−0.660636	−	1.44659i
$247$	214.197	+	333.296i	0.867193	+	1.34938i
$248$	52.2252	−	363.234i	0.210585	−	1.46465i
$249$	148.217	−	230.630i	0.595250	−	0.926227i
$250$	173.419	+	150.268i	0.693675	+	0.601072i
$251$	16.7769	−	57.1368i	0.0668402	−	0.227637i	−0.919298	−	0.393562i	$-0.871243\pi$
$251$	16.7769	−	57.1368i	0.0668402	−	0.227637i	0.986138	+	0.165925i	$0.0530610\pi$
$252$		−	18.4415i		−	0.0731807i
$253$	141.264	−	144.668i	0.558357	−	0.571812i
$254$	400.199			1.57559
$255$	−126.889	−	37.2579i	−0.497604	−	0.146110i
$256$	59.2357	−	68.3617i	0.231389	−	0.267038i
$257$	−110.675	−	71.1266i	−0.430643	−	0.276757i	0.307310	−	0.951609i	$-0.400571\pi$
$257$	−110.675	−	71.1266i	−0.430643	−	0.276757i	−0.737953	+	0.674852i	$0.764207\pi$
$258$	59.2419	+	8.51769i	0.229620	+	0.0330143i
$259$	−267.216	+	171.729i	−1.03172	+	0.663048i
$260$	−31.4723	+	14.3729i	−0.121047	+	0.0552805i
$261$	−31.3594	−	36.1907i	−0.120151	−	0.138662i
$262$	13.9945	+	97.3336i	0.0534140	+	0.371502i
$263$	−45.1146	−	20.6032i	−0.171538	−	0.0783390i	0.327795	−	0.944749i	$-0.393694\pi$
$263$	−45.1146	−	20.6032i	−0.171538	−	0.0783390i	−0.499333	+	0.866410i	$0.666422\pi$
$264$	74.9377	+	255.215i	0.283855	+	0.966722i
$265$	111.675	−	32.7908i	0.421417	−	0.123739i
$266$	−212.057	+	464.339i	−0.797205	+	1.74564i
$267$	208.771	−	30.0168i	0.781915	−	0.112422i
$268$	−27.0518	+	23.4405i	−0.100939	+	0.0874645i
$269$	−60.1541	−	131.719i	−0.223621	−	0.489662i	0.764253	−	0.644916i	$-0.223108\pi$
$269$	−60.1541	−	131.719i	−0.223621	−	0.489662i	−0.987875	+	0.155254i	$0.950380\pi$
$270$	−93.9125	−	146.131i	−0.347824	−	0.541225i
$271$	26.1899	−	182.155i	0.0966416	−	0.672157i	−0.882699	−	0.469939i	$-0.844276\pi$
$271$	26.1899	−	182.155i	0.0966416	−	0.672157i	0.979341	−	0.202218i	$-0.0648150\pi$
$272$	−53.9365	+	83.9269i	−0.198296	+	0.308555i
$273$	375.536	+	325.403i	1.37559	+	1.19195i
$274$	56.5476	−	192.583i	0.206378	−	0.702859i
$275$			9.11591i			0.0331488i
$276$	28.3325	+	27.6658i	0.102654	+	0.100238i
$277$	139.671			0.504226			0.252113	−	0.967698i	$-0.418875\pi$
$277$	139.671			0.504226			0.252113	+	0.967698i	$0.418875\pi$
$278$	−61.3628	−	18.0177i	−0.220729	−	0.0648120i
$279$	−113.275	+	130.727i	−0.406004	+	0.468554i
$280$	−351.176	−	225.687i	−1.25420	−	0.806027i
$281$	−122.574	−	17.6235i	−0.436208	−	0.0627173i	−0.0792871	−	0.996852i	$-0.525264\pi$
$281$	−122.574	−	17.6235i	−0.436208	−	0.0627173i	−0.356921	+	0.934135i	$0.616173\pi$
$282$	−59.5308	+	38.2581i	−0.211102	+	0.135667i
$283$	−105.270	+	48.0752i	−0.371979	+	0.169877i	−0.592628	−	0.805476i	$-0.701910\pi$
$283$	−105.270	+	48.0752i	−0.371979	+	0.169877i	0.220649	+	0.975353i	$0.429182\pi$
$284$	−15.7894	−	18.2219i	−0.0555963	−	0.0641616i
$285$	73.0538	+	508.100i	0.256329	+	1.78281i
$286$	−212.779	−	97.1730i	−0.743983	−	0.339766i
$287$	−158.805	−	540.839i	−0.553326	−	1.88446i
$288$	−28.9206	+	8.49187i	−0.100419	+	0.0294856i
$289$	98.5268	−	215.744i	0.340923	−	0.746518i
$290$	−114.580	+	16.4741i	−0.395103	+	0.0568072i
$291$	23.5650	−	20.4192i	0.0809794	−	0.0701690i
$292$	14.5727	+	31.9098i	0.0499066	+	0.109280i
$293$	149.675	+	232.899i	0.510835	+	0.794875i	0.996870	−	0.0790644i	$-0.0251933\pi$
$293$	149.675	+	232.899i	0.510835	+	0.794875i	−0.486034	+	0.873940i	$0.661557\pi$
$294$	−44.0007	+	306.031i	−0.149662	+	1.04092i
$295$	−22.2768	+	34.6633i	−0.0755145	+	0.117503i
$296$	207.245	+	179.579i	0.700152	+	0.606685i
$297$	−44.9291	+	153.014i	−0.151276	+	0.515200i
$298$		−	61.9907i		−	0.208023i
$299$	−324.975	+	27.1347i	−1.08687	+	0.0907516i
$300$	−1.78530			−0.00595099
$301$	82.7418	+	24.2952i	0.274890	+	0.0807149i
$302$	−1.65438	+	1.90925i	−0.00547807	+	0.00632203i
$303$	−245.693	−	157.897i	−0.810868	−	0.521113i
$304$	383.302	+	55.1106i	1.26086	+	0.181285i
$305$	−78.0983	+	50.1908i	−0.256060	+	0.164560i
$306$	48.6801	−	22.2315i	0.159085	−	0.0726518i
$307$	−243.121	−	280.577i	−0.791925	−	0.913930i	0.205985	−	0.978555i	$-0.433960\pi$
$307$	−243.121	−	280.577i	−0.791925	−	0.913930i	−0.997910	+	0.0646250i	$0.979415\pi$
$308$	5.82446	+	40.5100i	0.0189106	+	0.131526i
$309$	−180.717	−	82.5306i	−0.584844	−	0.267089i
$310$	117.803	+	401.199i	0.380009	+	1.29419i
$311$	361.328	−	106.095i	1.16182	−	0.341143i	0.356683	−	0.934225i	$-0.383907\pi$
$311$	361.328	−	106.095i	1.16182	−	0.341143i	0.805142	+	0.593083i	$0.202089\pi$
$312$	178.207	−	390.220i	0.571177	−	1.25070i
$313$	−19.1735	+	2.75674i	−0.0612573	+	0.00880747i	−0.172875	−	0.984944i	$-0.555306\pi$
$313$	−19.1735	+	2.75674i	−0.0612573	+	0.00880747i	0.111618	+	0.993751i	$0.464397\pi$
$314$	369.921	−	320.538i	1.17809	−	1.02082i
$315$	81.7405	+	178.987i	0.259494	+	0.568212i
$316$	−15.9696	−	24.8492i	−0.0505367	−	0.0786367i
$317$	−29.2788	+	203.639i	−0.0923623	+	0.642394i	0.890077	+	0.455810i	$0.150651\pi$
$317$	−29.2788	+	203.639i	−0.0923623	+	0.642394i	−0.982439	+	0.186583i	$0.940259\pi$
$318$	−83.3173	+	129.644i	−0.262004	+	0.407686i
$319$	80.3166	+	69.5948i	0.251776	+	0.218165i
$320$	−100.218	+	341.310i	−0.313180	+	1.06659i
$321$			47.0548i			0.146588i
$322$	−255.785	−	333.342i	−0.794363	−	1.03522i
$323$	201.157			0.622776
$324$	−46.3263	−	13.6026i	−0.142982	−	0.0419834i
$325$	9.62784	−	11.1111i	0.0296241	−	0.0341881i
$326$	−149.980	−	96.3866i	−0.460063	−	0.295664i
$327$	41.0027	+	5.89530i	0.125391	+	0.0180285i
$328$	−409.377	+	263.090i	−1.24810	+	0.802105i
$329$	−92.7452	+	42.3553i	−0.281900	+	0.128740i
$330$	−198.473	−	229.050i	−0.601433	−	0.694090i
$331$	44.9745	+	312.805i	0.135875	+	0.945030i	0.937694	+	0.347463i	$0.112957\pi$
$331$	44.9745	+	312.805i	0.135875	+	0.945030i	−0.801819	+	0.597567i	$0.796134\pi$
$332$	−33.1259	−	15.1281i	−0.0997767	−	0.0455665i
$333$	−36.4166	−	124.024i	−0.109359	−	0.372443i
$334$	−62.9641	+	18.4879i	−0.188515	+	0.0553531i
$335$	158.656	−	347.409i	0.473601	−	1.03704i
$336$	480.741	−	69.1201i	1.43078	−	0.205715i
$337$	122.631	−	106.261i	0.363892	−	0.315314i	−0.453654	−	0.891178i	$-0.649880\pi$
$337$	122.631	−	106.261i	0.363892	−	0.315314i	0.817545	+	0.575864i	$0.195334\pi$
$338$	24.9707	+	54.6783i	0.0738779	+	0.161770i
$339$	220.861	+	343.666i	0.651507	+	1.01376i
$340$	−2.50002	+	17.3880i	−0.00735301	+	0.0511413i
$341$	207.541	−	322.940i	0.608624	−	0.947037i
$342$	−156.991	−	136.033i	−0.459037	−	0.397758i
$343$	8.88078	−	30.2452i	0.0258915	−	0.0881783i
$344$		−	74.4480i		−	0.216419i
$345$	−397.610	−	142.933i	−1.15249	−	0.414297i
$346$	−518.578			−1.49878
$347$	−95.0886	−	27.9205i	−0.274031	−	0.0804627i	0.141830	−	0.989891i	$-0.454701\pi$
$347$	−95.0886	−	27.9205i	−0.274031	−	0.0804627i	−0.415861	+	0.909428i	$0.636520\pi$
$348$	−13.6297	+	15.7295i	−0.0391659	+	0.0451998i
$349$	1.15187	+	0.740263i	0.00330049	+	0.00212110i	0.542290	−	0.840191i	$-0.317557\pi$
$349$	1.15187	+	0.740263i	0.00330049	+	0.00212110i	−0.538990	+	0.842312i	$0.681194\pi$
$350$	18.7501	+	2.69585i	0.0535716	+	0.00770243i
$351$	216.370	−	139.053i	0.616439	−	0.396162i
$352$	60.8471	−	27.7879i	0.172861	−	0.0789430i
$353$	427.602	+	493.479i	1.21134	+	1.39796i	0.893047	+	0.449964i	$0.148563\pi$
$353$	427.602	+	493.479i	1.21134	+	1.39796i	0.318290	+	0.947993i	$0.396891\pi$
$354$	−7.76434	−	54.0022i	−0.0219332	−	0.152549i
$355$	234.012	+	106.870i	0.659190	+	0.301042i
$356$	−7.89338	−	26.8824i	−0.0221724	−	0.0755123i
$357$	242.073	−	71.0789i	0.678074	−	0.199101i
$358$	116.765	−	255.680i	0.326159	−	0.714189i
$359$	672.794	−	96.7331i	1.87408	−	0.269452i	0.891186	−	0.453638i	$-0.149874\pi$
$359$	672.794	−	96.7331i	1.87408	−	0.269452i	0.982891	+	0.184186i	$0.0589650\pi$
$360$	128.382	−	111.243i	0.356616	−	0.309009i
$361$	−174.395	−	381.872i	−0.483088	−	1.05782i
$362$	270.812	+	421.392i	0.748100	+	1.16407i
$363$	22.3971	−	155.775i	0.0617000	−	0.429133i
$364$	35.6857	−	55.5280i	0.0980376	−	0.152549i
$365$	−282.875	−	245.112i	−0.775000	−	0.671541i
$366$	34.6308	−	117.942i	0.0946197	−	0.322245i
$367$		−	301.159i		−	0.820595i	−0.911952	−	0.410298i	$-0.865425\pi$
$367$		−	301.159i		−	0.820595i	0.911952	−	0.410298i	$-0.134575\pi$
$368$	−187.964	+	257.422i	−0.510772	+	0.699518i
$369$	229.378			0.621622
$370$	−299.803	−	88.0302i	−0.810279	−	0.237919i
$371$	−145.407	+	167.809i	−0.391934	+	0.452316i
$372$	63.2458	+	40.6456i	0.170016	+	0.109262i
$373$	−616.183	−	88.5937i	−1.65196	−	0.237517i	−0.747561	−	0.664194i	$-0.768775\pi$
$373$	−616.183	−	88.5937i	−1.65196	−	0.237517i	−0.904404	+	0.426677i	$0.859684\pi$
$374$	−99.9127	+	64.2100i	−0.267146	+	0.171684i
$375$	−400.431	+	182.871i	−1.06782	+	0.487656i
$376$	57.6428	+	66.5233i	0.153305	+	0.176924i
$377$	−24.3926	−	169.654i	−0.0647018	−	0.450011i
$378$	301.441	+	137.663i	0.797463	+	0.364189i
$379$	156.252	+	532.146i	0.412275	+	1.40408i	0.860177	+	0.509996i	$0.170353\pi$
$379$	156.252	+	532.146i	0.412275	+	1.40408i	−0.447902	+	0.894083i	$0.647829\pi$
$380$	65.4254	−	19.2106i	0.172172	−	0.0505543i
$381$	−318.935	+	698.371i	−0.837100	+	1.83299i
$382$	−283.489	+	40.7596i	−0.742118	+	0.106701i
$383$	−335.790	+	290.964i	−0.876736	+	0.759696i	−0.971808	−	0.235774i	$-0.924237\pi$
$383$	−335.790	+	290.964i	−0.876736	+	0.759696i	0.0950716	+	0.995470i	$0.469692\pi$
$384$	−150.140	−	328.761i	−0.390990	−	0.856149i
$385$	−236.087	−	367.358i	−0.613213	−	0.954178i
$386$	−85.5295	+	594.871i	−0.221579	+	1.54112i
$387$	−18.9722	+	29.5214i	−0.0490239	+	0.0762826i
$388$	−3.13025	−	2.71238i	−0.00806766	−	0.00699067i
$389$	−81.8961	+	278.912i	−0.210530	+	0.716999i	0.784738	+	0.619828i	$0.212798\pi$
$389$	−81.8961	+	278.912i	−0.210530	+	0.716999i	−0.995268	+	0.0971709i	$0.969021\pi$
$390$			488.801i			1.25334i
$391$	−77.6151	+	146.254i	−0.198504	+	0.374052i
$392$	384.583			0.981080
$393$	−181.006	−	53.1481i	−0.460575	−	0.135237i
$394$	218.154	−	251.764i	0.553691	−	0.638994i
$395$	265.137	+	170.393i	0.671232	+	0.431375i
$396$	−16.4850	−	2.37018i	−0.0416288	−	0.00598531i
$397$	20.3922	−	13.1053i	0.0513657	−	0.0330107i	−0.514706	−	0.857367i	$-0.672099\pi$
$397$	20.3922	−	13.1053i	0.0513657	−	0.0330107i	0.566072	+	0.824356i	$0.308463\pi$
$398$	500.928	−	228.766i	1.25861	−	0.574790i
$399$	−641.303	−	740.103i	−1.60728	−	1.85489i
$400$	−2.04508	−	14.2239i	−0.00511271	−	0.0355597i
$401$	−511.170	−	233.444i	−1.27474	−	0.582154i	−0.340985	−	0.940069i	$-0.610760\pi$
$401$	−511.170	−	233.444i	−1.27474	−	0.582154i	−0.933754	+	0.357915i	$0.883488\pi$
$402$	142.470	+	485.208i	0.354403	+	1.20699i
$403$	−594.040	+	174.426i	−1.47405	+	0.432819i
$404$	−16.1161	+	35.2893i	−0.0398913	+	0.0873499i
$405$	509.918	−	73.3152i	1.25906	−	0.181025i
$406$	166.898	−	144.618i	0.411079	−	0.356202i
$407$	119.166	+	260.938i	0.292792	+	0.641124i
$408$	−117.756	−	183.232i	−0.288617	−	0.449097i
$409$	−7.24606	+	50.3975i	−0.0177165	+	0.123221i	−0.996760	−	0.0804283i	$-0.974371\pi$
$409$	−7.24606	+	50.3975i	−0.0177165	+	0.123221i	0.979044	+	0.203649i	$0.0652803\pi$
$410$	299.774	−	466.457i	0.731155	−	1.13770i
$411$	291.004	+	252.157i	0.708040	+	0.613520i
$412$	−7.43502	+	25.3213i	−0.0180462	+	0.0614596i
$413$		−	78.6078i		−	0.190334i
$414$	159.479	−	61.6551i	0.385216	−	0.148925i
$415$	388.561			0.936292
$416$	−103.513	−	30.3942i	−0.248830	−	0.0730631i
$417$	80.3446	−	92.7226i	0.192673	−	0.222356i
$418$	387.821	+	249.237i	0.927801	+	0.596262i
$419$	338.431	+	48.6590i	0.807711	+	0.116131i	0.533786	−	0.845620i	$-0.320769\pi$
$419$	338.431	+	48.6590i	0.807711	+	0.116131i	0.273925	+	0.961751i	$0.411678\pi$
$420$	71.9450	−	46.2363i	0.171298	−	0.110086i
$421$	−549.052	+	250.743i	−1.30416	+	0.595590i	−0.941714	−	0.336414i	$-0.890786\pi$
$421$	−549.052	+	250.743i	−1.30416	+	0.595590i	−0.362447	+	0.932005i	$0.618058\pi$
$422$	−376.272	−	434.242i	−0.891641	−	1.02901i
$423$	−5.90476	−	41.0685i	−0.0139593	−	0.0970887i
$424$	174.371	+	79.6324i	0.411252	+	0.187812i
$425$	−2.10304	−	7.16230i	−0.00494833	−	0.0168525i
$426$	−326.833	+	95.9668i	−0.767214	+	0.225274i
$427$	73.5731	−	161.103i	0.172302	−	0.377289i
$428$	6.18690	−	0.889542i	0.0144554	−	0.00207837i
$429$	339.145	−	293.871i	0.790549	−	0.685014i
$430$	35.2390	+	77.1627i	0.0819512	+	0.179448i
$431$	−144.318	−	224.563i	−0.334844	−	0.521028i	0.632478	−	0.774578i	$-0.282038\pi$
$431$	−144.318	−	224.563i	−0.334844	−	0.521028i	−0.967322	+	0.253551i	$0.918402\pi$
$432$	35.7768	−	248.833i	0.0828167	−	0.576003i
$433$	241.936	−	376.460i	0.558744	−	0.869423i	−0.440860	−	0.897576i	$-0.645326\pi$
$433$	241.936	−	376.460i	0.558744	−	0.869423i	0.999604	+	0.0281533i	$0.00896266\pi$
$434$	−602.862	−	522.383i	−1.38908	−	1.20365i
$435$	62.5652	−	213.078i	0.143828	−	0.489834i
$436$		−	5.50260i		−	0.0126206i
$437$	641.551	+	38.2142i	1.46808	+	0.0874468i
$438$	495.595			1.13150
$439$	215.660	+	63.3234i	0.491252	+	0.144245i	0.517971	−	0.855398i	$-0.326688\pi$
$439$	215.660	+	63.3234i	0.491252	+	0.144245i	−0.0267187	+	0.999643i	$0.508506\pi$
$440$	−246.878	+	284.912i	−0.561086	+	0.647528i
$441$	−152.501	−	98.0067i	−0.345808	−	0.222237i
$442$	189.597	+	27.2599i	0.428952	+	0.0616739i
$443$	91.8182	−	59.0080i	0.207265	−	0.133201i	−0.432891	−	0.901446i	$-0.642506\pi$
$443$	91.8182	−	59.0080i	0.207265	−	0.133201i	0.640155	+	0.768246i	$0.278870\pi$
$444$	−51.1031	+	23.3380i	−0.115097	+	0.0525631i
$445$	195.764	+	225.924i	0.439919	+	0.507693i
$446$	−88.6009	−	616.233i	−0.198657	−	1.38169i
$447$	108.178	+	49.4030i	0.242008	+	0.110521i
$448$	−191.190	−	651.134i	−0.426764	−	1.45342i
$449$	−751.081	+	220.537i	−1.67279	+	0.491174i	−0.974452	−	0.224598i	$-0.927893\pi$
$449$	−751.081	+	220.537i	−1.67279	+	0.491174i	−0.698334	+	0.715772i	$0.746075\pi$
$450$	−3.20224	+	7.01194i	−0.00711610	+	0.0155821i
$451$	−503.869	+	72.4454i	−1.11723	+	0.160633i
$452$	41.0109	−	35.5362i	0.0907321	−	0.0786198i
$453$	−2.01332	−	4.40855i	−0.00444441	−	0.00973190i
$454$	379.356	+	590.289i	0.835586	+	1.30020i
$455$	−100.229	+	697.108i	−0.220283	+	1.53210i
$456$	−457.081	+	711.232i	−1.00237	+	1.55972i
$457$	18.2437	+	15.8083i	0.0399206	+	0.0345914i	0.674593	−	0.738190i	$-0.264319\pi$
$457$	18.2437	+	15.8083i	0.0399206	+	0.0345914i	−0.634672	+	0.772782i	$0.718865\pi$
$458$	−44.4359	+	151.335i	−0.0970217	+	0.330426i
$459$		−	130.587i		−	0.284504i
$460$	−11.2766	+	54.9809i	−0.0245144	+	0.119524i
$461$	−456.900			−0.991106			−0.495553	−	0.868578i	$-0.665035\pi$
$461$	−456.900			−0.991106			−0.495553	+	0.868578i	$0.665035\pi$
$462$	554.773	+	162.896i	1.20081	+	0.352589i
$463$	392.541	−	453.017i	0.847822	−	0.978438i	−0.152129	−	0.988361i	$-0.548613\pi$
$463$	392.541	−	453.017i	0.847822	−	0.978438i	0.999951	+	0.00992239i	$0.00315845\pi$
$464$	−140.934	−	90.5727i	−0.303737	−	0.195200i
$465$	−793.998	−	114.160i	−1.70752	−	0.245505i
$466$	658.918	−	423.461i	1.41399	−	0.908715i
$467$	396.332	−	180.999i	0.848677	−	0.387578i	0.0568941	−	0.998380i	$-0.481880\pi$
$467$	396.332	−	180.999i	0.848677	−	0.387578i	0.791783	+	0.610802i	$0.209153\pi$
$468$	17.5898	+	20.2997i	0.0375850	+	0.0433754i
$469$	103.693	+	721.198i	0.221093	+	1.53773i
$470$	−91.2326	−	41.6645i	−0.194112	−	0.0886480i
$471$	264.553	+	900.985i	0.561684	+	1.91292i
$472$	−65.1145	+	19.1193i	−0.137954	+	0.0405071i
$473$	32.3519	−	70.8408i	0.0683973	−	0.149769i
$474$	−413.058	+	59.3887i	−0.871429	+	0.125293i
$475$	−21.8977	+	18.9745i	−0.0461005	+	0.0399463i
$476$	−13.9219	−	30.4847i	−0.0292476	−	0.0640434i
$477$	−48.8509	−	76.0135i	−0.102413	−	0.159358i
$478$	−61.3671	+	426.818i	−0.128383	+	0.892924i
$479$	−251.907	+	391.974i	−0.525901	+	0.818318i	−0.997999	−	0.0632279i	$-0.979861\pi$
$479$	−251.907	+	391.974i	−0.525901	+	0.818318i	0.472098	+	0.881546i	$0.343497\pi$
$480$	−105.638	−	91.5360i	−0.220079	−	0.190700i
$481$	130.343	−	443.907i	0.270983	−	0.922885i
$482$		−	383.163i		−	0.794944i
$483$	785.548	−	180.706i	1.62639	−	0.374132i
$484$	−20.9052			−0.0431925
$485$	42.4034	+	12.4508i	0.0874298	+	0.0256717i
$486$	−246.050	+	283.957i	−0.506276	+	0.584273i
$487$	108.505	+	69.7321i	0.222803	+	0.143187i	0.647281	−	0.762251i	$-0.275906\pi$
$487$	108.505	+	69.7321i	0.222803	+	0.143187i	−0.424478	+	0.905438i	$0.639542\pi$
$488$	−151.343	−	21.7599i	−0.310130	−	0.0445900i
$489$	287.726	−	184.910i	0.588397	−	0.378140i
$490$	−398.607	+	182.038i	−0.813483	+	0.371505i
$491$	122.779	+	141.695i	0.250059	+	0.288584i	0.866877	−	0.498522i	$-0.166124\pi$
$491$	122.779	+	141.695i	0.250059	+	0.288584i	−0.616818	+	0.787106i	$0.711578\pi$
$492$	−14.1880	−	98.6798i	−0.0288374	−	0.200569i
$493$	−79.1596	−	36.1510i	−0.160567	−	0.0733286i
$494$	−209.470	−	713.388i	−0.424028	−	1.44411i
$495$	170.503	−	50.0641i	0.344450	−	0.101140i
$496$	−251.384	+	550.454i	−0.506822	+	1.10979i
$497$	−485.794	+	69.8466i	−0.977453	+	0.140536i
$498$	−388.820	+	336.914i	−0.780762	+	0.676534i
$499$	−220.353	−	482.506i	−0.441590	−	0.966947i	−0.991304	−	0.131594i	$-0.957991\pi$
$499$	−220.353	−	482.506i	−0.441590	−	0.966947i	0.549714	−	0.835353i	$-0.314737\pi$
$500$	31.6143	+	49.1928i	0.0632286	+	0.0983856i
$501$	17.9162	−	124.610i	0.0357609	−	0.248722i
$502$	−60.4176	+	94.0116i	−0.120354	+	0.187274i
$503$	−98.9979	−	85.7822i	−0.196815	−	0.170541i	0.550878	−	0.834586i	$-0.314293\pi$
$503$	−98.9979	−	85.7822i	−0.196815	−	0.170541i	−0.747693	+	0.664045i	$0.768838\pi$
$504$	−91.3028	+	310.949i	−0.181156	+	0.616962i
$505$		−	413.938i		−	0.819680i
$506$	−330.851	+	185.805i	−0.653855	+	0.367204i
$507$	−115.317			−0.227450
$508$	97.8530	+	28.7322i	0.192624	+	0.0565595i
$509$	104.105	−	120.144i	0.204529	−	0.236039i	−0.644213	−	0.764846i	$-0.722815\pi$
$509$	104.105	−	120.144i	0.204529	−	0.236039i	0.848742	+	0.528807i	$0.177361\pi$
$510$	208.780	+	134.175i	0.409373	+	0.263088i
$511$	706.798	+	101.622i	1.38317	+	0.198869i
$512$	−480.618	+	308.874i	−0.938706	+	0.603270i
$513$	−461.081	+	210.569i	−0.898794	+	0.410465i
$514$	161.679	+	186.587i	0.314550	+	0.363010i
$515$	−40.0731	−	278.714i	−0.0778118	−	0.541193i
$516$	13.8738	+	6.33593i	0.0268871	+	0.0122789i
$517$	25.9417	+	88.3492i	0.0501773	+	0.170888i
$518$	571.950	−	167.940i	1.10415	−	0.324208i
$519$	413.276	−	904.949i	0.796294	−	1.74364i
$520$	601.825	−	86.5293i	1.15736	−	0.166403i
$521$	484.306	−	419.653i	0.929569	−	0.805476i	−0.0515917	−	0.998668i	$-0.516429\pi$
$521$	484.306	−	419.653i	0.929569	−	0.805476i	0.981161	+	0.193192i	$0.0618840\pi$
$522$	37.3321	+	81.7458i	0.0715174	+	0.156601i
$523$	−328.041	−	510.442i	−0.627229	−	0.975988i	−0.998866	−	0.0476097i	$-0.984840\pi$
$523$	−328.041	−	510.442i	−0.627229	−	0.975988i	0.371637	−	0.928378i	$-0.378797\pi$
$524$	−3.56626	+	24.8039i	−0.00680584	+	0.0473356i
$525$	−19.6471	+	30.5715i	−0.0374231	+	0.0582315i
$526$	70.3412	+	60.9510i	0.133729	+	0.115876i
$527$	−88.5608	+	301.610i	−0.168047	+	0.572316i
$528$		−	438.621i		−	0.830721i
$529$	−275.323	+	451.706i	−0.520460	+	0.853886i
$530$	−218.422			−0.412117
$531$	30.6926	+	9.01216i	0.0578015	+	0.0169721i
$532$	−85.1874	+	98.3115i	−0.160127	+	0.184796i
$533$	690.665	+	443.864i	1.29581	+	0.832765i
$534$	−391.788	−	56.3306i	−0.733686	−	0.105488i
$535$	−56.1049	+	36.0564i	−0.104869	+	0.0673952i
$536$	572.181	−	261.306i	1.06750	−	0.487512i
$537$	353.121	+	407.524i	0.657582	+	0.758890i
$538$	38.6735	+	268.980i	0.0718839	+	0.499963i
$539$	365.949	+	167.123i	0.678941	+	0.310062i
$540$	−12.4712	−	42.4730i	−0.0230948	−	0.0786537i
$541$	687.580	−	201.892i	1.27094	−	0.373183i	0.424386	−	0.905481i	$-0.360490\pi$
$541$	687.580	−	201.892i	1.27094	−	0.373183i	0.846557	+	0.532299i	$0.178672\pi$
$542$	−143.465	+	314.144i	−0.264695	+	0.579602i
$543$	−951.176	+	136.759i	−1.75171	+	0.251857i
$544$	−41.3964	+	35.8702i	−0.0760963	+	0.0659378i
$545$	24.3898	+	53.4062i	0.0447519	+	0.0979930i
$546$	−504.153	−	784.478i	−0.923358	−	1.43677i
$547$	84.4835	−	587.595i	0.154449	−	1.07421i	−0.754197	−	0.656648i	$-0.771974\pi$
$547$	84.4835	−	587.595i	0.154449	−	1.07421i	0.908646	−	0.417567i	$-0.137117\pi$
$548$	27.6530	−	43.0289i	0.0504617	−	0.0785200i
$549$	54.4680	+	47.1968i	0.0992131	+	0.0859686i
$550$	4.81967	−	16.4143i	0.00876304	−	0.0298442i
$551$			337.791i			0.613051i
$552$	−340.751	−	606.754i	−0.617303	−	1.09919i
$553$	−601.264			−1.08728
$554$	−251.494	−	73.8452i	−0.453960	−	0.133295i
$555$	392.544	−	453.020i	0.707286	−	0.816252i
$556$	−13.7103	−	8.81107i	−0.0246588	−	0.0158472i
$557$	1006.42	+	144.701i	1.80686	+	0.259787i	0.961577	−	0.274536i	$-0.0885242\pi$
$557$	1006.42	+	144.701i	1.80686	+	0.259787i	0.845280	+	0.534323i	$0.179433\pi$
$558$	273.082	−	175.499i	0.489395	−	0.314515i
$559$	−114.252	+	52.1771i	−0.204386	+	0.0933401i
$560$	450.789	+	520.238i	0.804980	+	0.928996i
$561$	−32.4256	−	225.525i	−0.0577997	−	0.402006i
$562$	211.392	+	96.5397i	0.376143	+	0.171779i
$563$	−224.556	−	764.768i	−0.398856	−	1.35838i	−0.877165	−	0.480189i	$-0.840568\pi$
$563$	−224.556	−	764.768i	−0.398856	−	1.35838i	0.478309	−	0.878192i	$-0.341250\pi$
$564$	−17.3027	+	5.08052i	−0.0306785	+	0.00900802i
$565$	−240.526	+	526.678i	−0.425709	+	0.932173i
$566$	214.969	−	30.9079i	0.379804	−	0.0546076i
$567$	−742.751	+	643.598i	−1.30997	+	1.13509i
$568$	176.014	+	385.417i	0.309884	+	0.678551i
$569$	69.3865	+	107.968i	0.121945	+	0.189750i	0.896859	−	0.442317i	$-0.145843\pi$
$569$	69.3865	+	107.968i	0.121945	+	0.189750i	−0.774914	+	0.632066i	$0.782207\pi$
$570$	137.095	−	953.520i	0.240518	−	1.67284i
$571$	−330.974	+	515.005i	−0.579639	+	0.901936i	−0.999985	−	0.00542801i	$-0.998272\pi$
$571$	−330.974	+	515.005i	−0.579639	+	0.901936i	0.420346	+	0.907364i	$0.361909\pi$
$572$	−45.0503	−	39.0363i	−0.0787593	−	0.0682453i
$573$	154.797	−	527.189i	0.270151	−	0.920050i
$574$			1057.81i			1.84287i
$575$	−5.34661	−	23.2423i	−0.00929845	−	0.0404214i
$576$	276.156			0.479438
$577$	68.1314	+	20.0052i	0.118079	+	0.0346710i	0.340238	−	0.940339i	$-0.389492\pi$
$577$	68.1314	+	20.0052i	0.118079	+	0.0346710i	−0.222159	+	0.975010i	$0.571311\pi$
$578$	−291.475	+	336.380i	−0.504283	+	0.581973i
$579$	−969.923	−	623.332i	−1.67517	−	1.07657i
$580$	−29.1988	−	4.19815i	−0.0503427	−	0.00723819i
$581$	−623.603	+	400.765i	−1.07333	+	0.689785i
$582$	−53.2275	+	24.3082i	−0.0914561	+	0.0417666i
$583$	131.317	+	151.548i	0.225244	+	0.259945i
$584$	−87.7321	−	610.190i	−0.150226	−	1.04485i
$585$	−260.697	−	119.056i	−0.445635	−	0.203515i
$586$	−146.372	−	498.496i	−0.249781	−	0.850677i
$587$	−617.974	+	181.453i	−1.05277	+	0.309120i	−0.761934	−	0.647654i	$-0.775750\pi$
$587$	−617.974	+	181.453i	−1.05277	+	0.309120i	−0.290832	+	0.956774i	$0.593932\pi$
$588$	−32.7301	+	71.6690i	−0.0556635	+	0.121886i
$589$	1207.74	−	173.646i	2.05049	−	0.294815i
$590$	58.4389	−	50.6376i	0.0990490	−	0.0858264i
$591$	265.486	+	581.333i	0.449215	+	0.983644i
$592$	−244.478	−	380.416i	−0.412970	−	0.642594i
$593$	76.3448	−	530.989i	0.128743	−	0.895429i	−0.818407	−	0.574639i	$-0.805142\pi$
$593$	76.3448	−	530.989i	0.128743	−	0.895429i	0.947150	−	0.320790i	$-0.103948\pi$
$594$	161.801	−	251.767i	0.272392	−	0.423850i
$595$	270.241	+	234.165i	0.454187	+	0.393555i
$596$	4.45062	−	15.1574i	0.00746748	−	0.0254319i
$597$			1056.46i			1.76962i
$598$	599.504	+	122.958i	1.00251	+	0.205616i
$599$	−229.195			−0.382629			−0.191314	−	0.981529i	$-0.561275\pi$
$599$	−229.195			−0.382629			−0.191314	+	0.981529i	$0.561275\pi$
$600$	30.1025	+	8.83889i	0.0501708	+	0.0147315i
$601$	30.5226	−	35.2249i	0.0507863	−	0.0586105i	−0.729788	−	0.683673i	$-0.760381\pi$
$601$	30.5226	−	35.2249i	0.0507863	−	0.0586105i	0.780574	+	0.625063i	$0.214927\pi$
$602$	−136.141	−	87.4928i	−0.226149	−	0.145337i
$603$	−293.482	−	42.1963i	−0.486702	−	0.0699772i
$604$	−0.541588	+	0.348057i	−0.000896669	+	0.000576254i
$605$	202.898	−	92.6603i	0.335368	−	0.153158i
$606$	358.918	+	414.214i	0.592274	+	0.683521i
$607$	−87.3838	−	607.768i	−0.143960	−	1.00126i	−0.925862	−	0.377863i	$-0.876659\pi$
$607$	−87.3838	−	607.768i	−0.143960	−	1.00126i	0.781902	−	0.623402i	$-0.214250\pi$
$608$	193.402	+	88.3237i	0.318095	+	0.145269i
$609$	119.359	+	406.499i	0.195992	+	0.667487i
$610$	167.162	−	49.0831i	0.274036	−	0.0804642i
$611$	61.6911	−	135.085i	0.100967	−	0.221088i
$612$	13.4989	−	1.94085i	0.0220571	−	0.00317133i
$613$	−914.761	+	792.645i	−1.49227	+	1.29306i	−0.642008	+	0.766698i	$0.721898\pi$
$613$	−914.761	+	792.645i	−1.49227	+	1.29306i	−0.850261	+	0.526361i	$0.823556\pi$
$614$	289.425	+	633.753i	0.471376	+	1.03217i
$615$	575.093	+	894.862i	0.935111	+	1.45506i
$616$	102.354	−	711.889i	0.166159	−	1.15566i
$617$	−183.276	+	285.183i	−0.297043	+	0.462208i	−0.957409	−	0.288736i	$-0.906765\pi$
$617$	−183.276	+	285.183i	−0.297043	+	0.462208i	0.660365	+	0.750944i	$0.270401\pi$
$618$	281.768	+	244.153i	0.455935	+	0.395070i
$619$	−151.774	+	516.893i	−0.245192	+	0.835046i	0.741292	+	0.671183i	$0.234214\pi$
$619$	−151.774	+	516.893i	−0.245192	+	0.835046i	−0.986483	+	0.163863i	$0.947605\pi$
$620$			106.555i			0.171863i
$621$	24.8080	−	416.484i	0.0399485	−	0.670666i
$622$	−706.708			−1.13619
$623$	−547.202	−	160.673i	−0.878333	−	0.257902i
$624$	−463.252	+	534.622i	−0.742392	+	0.856766i
$625$	−546.687	−	351.334i	−0.874699	−	0.562135i
$626$	35.9818	+	5.17340i	0.0574789	+	0.00826422i
$627$	−744.005	+	478.143i	−1.18661	+	0.762589i
$628$	113.463	−	51.8167i	0.180673	−	0.0825107i
$629$	−153.826	−	177.525i	−0.244557	−	0.282233i
$630$	−52.5516	−	365.504i	−0.0834152	−	0.580165i
$631$	−351.595	−	160.568i	−0.557202	−	0.254466i	0.116850	−	0.993150i	$-0.462720\pi$
$631$	−351.595	−	160.568i	−0.557202	−	0.254466i	−0.674052	+	0.738684i	$0.735448\pi$
$632$	146.242	+	498.054i	0.231396	+	0.788061i
$633$	1057.65	−	310.553i	1.67085	−	0.490604i
$634$	160.386	−	351.196i	0.252975	−	0.553937i
$635$	−1077.08	+	154.860i	−1.69619	+	0.243875i
$636$	−29.6798	+	25.7177i	−0.0466663	+	0.0404366i
$637$	−269.536	−	590.202i	−0.423134	−	0.926534i
$638$	−107.824	−	167.778i	−0.169004	−	0.262975i
$639$	28.4231	−	197.687i	0.0444806	−	0.309370i
$640$	276.945	−	430.935i	0.432726	−	0.673335i
$641$	685.121	+	593.661i	1.06883	+	0.926148i	0.997455	−	0.0713015i	$-0.0227152\pi$
$641$	685.121	+	593.661i	1.06883	+	0.926148i	0.0713769	+	0.997449i	$0.477261\pi$
$642$	24.8784	−	84.7279i	0.0387513	−	0.131975i
$643$		−	672.360i		−	1.04566i	−0.852437	−	0.522831i	$-0.824876\pi$
$643$		−	672.360i		−	1.04566i	0.852437	−	0.522831i	$-0.175124\pi$
$644$	−38.6100	−	99.8699i	−0.0599534	−	0.155077i
$645$	−162.737			−0.252305
$646$	−362.207	−	106.353i	−0.560692	−	0.164634i
$647$	541.061	−	624.418i	0.836262	−	0.965097i	−0.163508	−	0.986542i	$-0.552281\pi$
$647$	541.061	−	624.418i	0.836262	−	0.965097i	0.999770	+	0.0214446i	$0.00682655\pi$
$648$	713.777	+	458.717i	1.10151	+	0.707896i
$649$	−70.2679	−	10.1030i	−0.108271	−	0.0155670i
$650$	−23.2107	+	14.9166i	−0.0357087	+	0.0229486i
$651$	1392.04	−	635.721i	2.13830	−	0.976531i
$652$	−29.7518	−	34.3354i	−0.0456316	−	0.0526617i
$653$	96.4268	+	670.663i	0.147667	+	1.02705i	0.920025	+	0.391861i	$0.128168\pi$
$653$	96.4268	+	670.663i	0.147667	+	1.02705i	−0.772357	+	0.635188i	$0.780922\pi$
$654$	−70.7135	−	32.2938i	−0.108125	−	0.0493788i
$655$	−75.3282	−	256.544i	−0.115005	−	0.391671i
$656$	769.951	−	226.078i	1.17371	−	0.344631i
$657$	−120.711	+	264.320i	−0.183731	+	0.402314i
$658$	189.393	−	27.2306i	0.287831	−	0.0413838i
$659$	432.408	−	374.683i	0.656157	−	0.568563i	−0.261859	−	0.965106i	$-0.584336\pi$
$659$	432.408	−	374.683i	0.656157	−	0.568563i	0.918016	+	0.396543i	$0.129790\pi$
$660$	−32.0842	−	70.2545i	−0.0486124	−	0.106446i
$661$	−411.392	−	640.139i	−0.622378	−	0.968440i	−0.999113	−	0.0421182i	$-0.986589\pi$
$661$	−411.392	−	640.139i	−0.622378	−	0.968440i	0.376734	−	0.926321i	$-0.377047\pi$
$662$	84.4009	−	587.021i	0.127494	−	0.886739i
$663$	−198.668	+	309.133i	−0.299650	+	0.466264i
$664$	483.648	+	419.083i	0.728386	+	0.631150i
$665$	391.040	−	1331.76i	0.588030	−	2.00265i
$666$			242.573i			0.364224i
$667$	−245.597	−	130.335i	−0.368211	−	0.195405i
$668$	−16.7228			−0.0250341
$669$	1145.97	+	336.488i	1.71296	+	0.502972i
$670$	−469.359	+	541.669i	−0.700536	+	0.808461i
$671$	−134.555	−	86.4730i	−0.200528	−	0.128872i
$672$	263.950	+	37.9503i	0.392783	+	0.0564736i
$673$	794.585	−	510.649i	1.18066	−	0.758765i	0.205154	−	0.978730i	$-0.434231\pi$
$673$	794.585	−	510.649i	1.18066	−	0.758765i	0.975508	+	0.219965i	$0.0705943\pi$
$674$	−276.994	+	126.499i	−0.410970	+	0.187684i
$675$	12.3179	+	14.2156i	0.0182487	+	0.0210602i
$676$	2.18000	+	15.1622i	0.00322485	+	0.0224293i
$677$	−695.025	−	317.407i	−1.02663	−	0.468844i	−0.170361	−	0.985382i	$-0.554493\pi$
$677$	−695.025	−	317.407i	−1.02663	−	0.468844i	−0.856264	+	0.516538i	$0.827221\pi$
$678$	−215.987	−	735.584i	−0.318565	−	1.08493i
$679$	−80.8952	+	23.7530i	−0.119139	+	0.0349823i
$680$	128.241	−	280.808i	0.188589	−	0.412953i
$681$	−1332.42	+	191.572i	−1.95656	+	0.281310i
$682$	−544.443	+	471.763i	−0.798304	+	0.691734i
$683$	479.186	+	1049.27i	0.701590	+	1.53627i	0.838033	+	0.545619i	$0.183706\pi$
$683$	479.186	+	1049.27i	0.701590	+	1.53627i	−0.136443	+	0.990648i	$0.543567\pi$
$684$	−28.6195	−	44.5328i	−0.0418413	−	0.0651064i
$685$	−77.6679	+	540.192i	−0.113384	+	0.788602i
$686$	−31.9818	+	49.7647i	−0.0466208	+	0.0725433i
$687$	−228.676	−	198.149i	−0.332861	−	0.288426i
$688$	−34.5872	+	117.793i	−0.0502721	+	0.171211i
$689$		−	323.409i		−	0.469389i
$690$	640.375	+	467.588i	0.928080	+	0.677664i
$691$	−20.0036			−0.0289488			−0.0144744	−	0.999895i	$-0.504607\pi$
$691$	−20.0036			−0.0289488			−0.0144744	+	0.999895i	$0.504607\pi$
$692$	−126.798	−	37.2312i	−0.183234	−	0.0538024i
$693$	−222.004	+	256.206i	−0.320352	+	0.369706i
$694$	156.457	+	100.549i	0.225442	+	0.144883i
$695$	172.121	+	24.7473i	0.247656	+	0.0356076i
$696$	307.691	−	197.741i	0.442085	−	0.284111i
$697$	379.173	−	173.162i	0.544006	−	0.248439i
$698$	−1.68270	−	1.94194i	−0.00241074	−	0.00278215i
$699$	213.845	+	1487.33i	0.305930	+	2.12779i
$700$	4.39105	+	2.00532i	0.00627292	+	0.00286475i
$701$	−325.982	−	1110.19i	−0.465024	−	1.58373i	−0.774342	−	0.632767i	$-0.781919\pi$
$701$	−325.982	−	1110.19i	−0.465024	−	1.58373i	0.309318	−	0.950959i	$-0.399899\pi$
$702$	−463.119	+	135.984i	−0.659714	+	0.193710i
$703$	−378.769	+	829.387i	−0.538789	+	1.17978i
$704$	−606.625	+	87.2195i	−0.861683	+	0.123891i
$705$	145.414	−	126.002i	0.206261	−	0.178726i
$706$	−509.042	−	1114.65i	−0.721022	−	1.57882i
$707$	426.940	+	664.331i	0.603875	+	0.939648i
$708$	1.97861	−	13.7616i	0.00279465	−	0.0194372i
$709$	313.395	−	487.652i	0.442023	−	0.687802i	−0.546738	−	0.837304i	$-0.684131\pi$
$709$	313.395	−	487.652i	0.442023	−	0.687802i	0.988761	+	0.149502i	$0.0477670\pi$
$710$	−364.865	−	316.157i	−0.513894	−	0.445291i
$711$	68.9332	−	234.765i	0.0969525	−	0.330190i
$712$			492.352i			0.691506i
$713$	−339.746	+	945.106i	−0.476502	+	1.32553i
$714$	−473.461			−0.663111
$715$	610.267	+	179.190i	0.853520	+	0.250616i
$716$	46.9068	−	54.1333i	0.0655123	−	0.0756052i
$717$	−695.916	−	447.238i	−0.970595	−	0.623763i
$718$	−1262.59	−	181.533i	−1.75848	−	0.252832i
$719$	−16.2469	+	10.4413i	−0.0225966	+	0.0145219i	−0.551890	−	0.833917i	$-0.686093\pi$
$719$	−16.2469	+	10.4413i	−0.0225966	+	0.0145219i	0.529294	+	0.848439i	$0.322457\pi$
$720$	−254.810	+	116.368i	−0.353903	+	0.161622i
$721$	351.782	+	405.978i	0.487908	+	0.563076i
$722$	112.120	+	779.810i	0.155291	+	1.08007i
$723$	668.643	+	305.359i	0.924817	+	0.422350i
$724$	35.9628	+	122.478i	0.0496723	+	0.169168i
$725$	12.0273	−	3.53152i	0.0165893	−	0.00487106i
$726$	−122.689	+	268.651i	−0.168993	+	0.370042i
$727$	−599.278	+	86.1632i	−0.824317	+	0.118519i	−0.541549	−	0.840669i	$-0.682162\pi$
$727$	−599.278	+	86.1632i	−0.824317	+	0.118519i	−0.282768	+	0.959188i	$0.591253\pi$
$728$	−876.623	+	759.598i	−1.20415	+	1.04340i
$729$	78.0282	+	170.858i	0.107035	+	0.234373i
$730$	379.757	+	590.913i	0.520215	+	0.809470i
$731$	−9.07566	+	63.1226i	−0.0124154	+	0.0863510i
$732$	16.9352	−	26.3517i	0.0231356	−	0.0359996i
$733$	−327.423	−	283.714i	−0.446689	−	0.387058i	0.402266	−	0.915523i	$-0.368223\pi$
$733$	−327.423	−	283.714i	−0.446689	−	0.387058i	−0.848956	+	0.528464i	$0.822768\pi$
$734$	−159.226	+	542.272i	−0.216929	+	0.738791i
$735$		−	840.666i		−	1.14376i
$736$	−138.840	+	106.537i	−0.188642	+	0.144751i
$737$	658.010			0.892822
$738$	−413.024	−	121.275i	−0.559653	−	0.164329i
$739$	218.495	−	252.156i	0.295662	−	0.341213i	−0.588410	−	0.808563i	$-0.700246\pi$
$739$	218.495	−	252.156i	0.295662	−	0.341213i	0.884072	+	0.467350i	$0.154791\pi$
$740$	−66.9851	−	43.0487i	−0.0905204	−	0.0581739i
$741$	1411.84	+	202.992i	1.90532	+	0.273943i
$742$	350.546	−	225.282i	0.472434	−	0.303615i
$743$	−475.429	+	217.121i	−0.639878	+	0.292222i	−0.708811	−	0.705399i	$-0.750768\pi$
$743$	−475.429	+	217.121i	−0.639878	+	0.292222i	0.0689328	+	0.997621i	$0.478041\pi$
$744$	−865.175	−	998.465i	−1.16287	−	1.34202i
$745$	23.9878	+	166.839i	0.0321985	+	0.223945i
$746$	1062.67	+	485.306i	1.42449	+	0.650544i
$747$	−84.9855	−	289.434i	−0.113769	−	0.387462i
$748$	−29.0397	+	8.52683i	−0.0388231	+	0.0113995i
$749$	52.8540	−	115.734i	0.0705661	−	0.154518i
$750$	817.711	−	117.569i	1.09028	−	0.156759i
$751$	899.644	−	779.546i	1.19793	−	1.03801i	0.199620	−	0.979873i	$-0.436029\pi$
$751$	899.644	−	779.546i	1.19793	−	1.03801i	0.998309	−	0.0581373i	$-0.0185161\pi$
$752$	−60.2981	−	132.034i	−0.0801836	−	0.175578i
$753$	−115.907	−	180.354i	−0.153926	−	0.239514i
$754$	−45.7760	+	318.379i	−0.0607109	+	0.422254i
$755$	3.71372	−	5.77866i	0.00491883	−	0.00765385i
$756$	63.8221	+	55.3022i	0.0844208	+	0.0731510i
$757$	57.6300	−	196.270i	0.0761295	−	0.259273i	−0.912630	−	0.408786i	$-0.865952\pi$
$757$	57.6300	−	196.270i	0.0761295	−	0.259273i	0.988760	+	0.149513i	$0.0477705\pi$
$758$		−	1040.81i		−	1.37309i
$759$	−60.5719	−	725.431i	−0.0798048	−	0.955771i
$760$	−1198.27			−1.57667
$761$	1338.70	+	393.078i	1.75914	+	0.516529i	0.992141	−	0.125125i	$-0.0399331\pi$
$761$	1338.70	+	393.078i	1.75914	+	0.516529i	0.766995	+	0.641653i	$0.221751\pi$
$762$	943.517	−	1088.88i	1.23821	−	1.42897i
$763$	−94.2268	−	60.5559i	−0.123495	−	0.0793655i
$764$	−72.2426	−	10.3869i	−0.0945583	−	0.0135954i
$765$	−122.413	+	78.6699i	−0.160017	+	0.102837i
$766$	758.466	−	346.380i	0.990164	−	0.452193i
$767$	74.9772	+	86.5283i	0.0977538	+	0.112814i
$768$	−46.3458	−	322.342i	−0.0603460	−	0.419716i
$769$	−244.124	−	111.488i	−0.317456	−	0.144977i	0.250314	−	0.968165i	$-0.419466\pi$
$769$	−244.124	−	111.488i	−0.317456	−	0.144977i	−0.567770	+	0.823187i	$0.692194\pi$
$770$	230.877	+	786.295i	0.299840	+	1.02116i
$771$	−454.454	+	133.440i	−0.589435	+	0.173074i
$772$	−63.6216	+	139.312i	−0.0824114	+	0.180456i
$773$	−347.779	+	50.0031i	−0.449908	+	0.0646870i	−0.363545	−	0.931577i	$-0.618434\pi$
$773$	−347.779	+	50.0031i	−0.449908	+	0.0646870i	−0.0863633	+	0.996264i	$0.527525\pi$
$774$	49.7700	−	43.1260i	0.0643024	−	0.0557183i
$775$	−18.8093	−	41.1867i	−0.0242701	−	0.0531441i
$776$	39.3514	+	61.2320i	0.0507106	+	0.0789072i
$777$	−162.746	+	1131.93i	−0.209455	+	1.45679i
$778$	294.928	−	458.916i	0.379084	−	0.589867i
$779$	−1222.81	−	1059.57i	−1.56972	−	1.36017i
$780$	−35.0934	+	119.517i	−0.0449915	+	0.153227i
$781$			443.231i			0.567517i
$782$	217.082	−	222.313i	0.277598	−	0.284287i
$783$	219.288			0.280062
$784$	−608.496	−	178.671i	−0.776143	−	0.227896i
$785$	−871.555	+	1005.83i	−1.11026	+	1.28131i
$786$	297.823	+	191.399i	0.378909	+	0.243510i
$787$	−1032.74	−	148.486i	−1.31225	−	0.188673i	−0.549569	−	0.835448i	$-0.685208\pi$
$787$	−1032.74	−	148.486i	−1.31225	−	0.188673i	−0.762680	+	0.646775i	$0.776117\pi$
$788$	71.4165	−	45.8966i	0.0906300	−	0.0582444i
$789$	−162.421	+	74.1752i	−0.205857	+	0.0940117i
$790$	−387.322	−	446.994i	−0.490281	−	0.565815i
$791$	−157.200	−	1093.35i	−0.198735	−	1.38223i
$792$	266.224	+	121.580i	0.336142	+	0.153511i
$793$	72.6756	+	247.510i	0.0916464	+	0.312119i
$794$	−43.6475	+	12.8161i	−0.0549716	+	0.0161411i
$795$	174.070	−	381.159i	0.218955	−	0.479446i
$796$	138.907	−	19.9718i	0.174506	−	0.0250902i
$797$	155.586	−	134.816i	0.195215	−	0.169155i	−0.551769	−	0.833997i	$-0.686047\pi$
$797$	155.586	−	134.816i	0.195215	−	0.169155i	0.746983	+	0.664843i	$0.231501\pi$
$798$	763.444	+	1671.71i	0.956696	+	2.09487i
$799$	−40.7643	−	63.4305i	−0.0510191	−	0.0793873i
$800$	1.12285	−	7.80959i	0.00140356	−	0.00976199i
$801$	125.470	−	195.236i	0.156642	−	0.243740i
$802$	797.000	+	690.604i	0.993765	+	0.861103i
$803$	181.681	−	618.750i	0.226253	−	0.770547i
$804$			128.867i			0.160283i
$805$	817.398	+	798.164i	1.01540	+	0.991508i
$806$	1161.86			1.44152
$807$	−500.207	−	146.874i	−0.619836	−	0.182000i
$808$	446.454	−	515.235i	0.552542	−	0.637667i
$809$	425.641	+	273.543i	0.526133	+	0.338125i	0.776594	−	0.630002i	$-0.216946\pi$
$809$	425.641	+	273.543i	0.526133	+	0.338125i	−0.250461	+	0.968127i	$0.580582\pi$
$810$	−956.932	−	137.586i	−1.18140	−	0.169859i
$811$	−598.188	+	384.432i	−0.737593	+	0.474023i	−0.854717	−	0.519095i	$-0.826269\pi$
$811$	−598.188	+	384.432i	−0.737593	+	0.474023i	0.117123	+	0.993117i	$0.462633\pi$
$812$	51.1912	−	23.3783i	0.0630434	−	0.0287910i
$813$	−433.868	−	500.710i	−0.533662	−	0.615879i
$814$	−76.6128	−	532.854i	−0.0941189	−	0.654612i
$815$	440.948	+	201.374i	0.541041	+	0.247085i
$816$	101.190	+	344.620i	0.124007	+	0.422329i
$817$	237.509	−	69.7390i	0.290709	−	0.0853599i
$818$	39.6931	−	86.9157i	0.0485245	−	0.106254i
$819$	541.188	−	77.8111i	0.660791	−	0.0950075i
$820$	106.787	−	92.5316i	0.130228	−	0.112843i
$821$	−458.142	−	1003.19i	−0.558030	−	1.22191i	−0.952930	−	0.303191i	$-0.901948\pi$
$821$	−458.142	−	1003.19i	−0.558030	−	1.22191i	0.394900	−	0.918724i	$-0.370779\pi$
$822$	−390.671	−	607.896i	−0.475269	−	0.739533i
$823$	−60.6386	+	421.751i	−0.0736799	+	0.512455i	0.919243	+	0.393692i	$0.128802\pi$
$823$	−60.6386	+	421.751i	−0.0736799	+	0.512455i	−0.992923	+	0.118764i	$0.962107\pi$
$824$	250.728	−	390.141i	0.304282	−	0.473472i
$825$	24.8029	+	21.4919i	0.0300642	+	0.0260507i
$826$	−41.5607	+	141.543i	−0.0503156	+	0.171359i
$827$			1282.34i			1.55059i	0.631596	+	0.775297i	$0.282400\pi$
$827$			1282.34i			1.55059i	−0.631596	+	0.775297i	$0.717600\pi$
$828$	43.4210	−	3.62556i	0.0524408	−	0.00437869i
$829$	314.729			0.379650			0.189825	−	0.981818i	$-0.439208\pi$
$829$	314.729			0.379650			0.189825	+	0.981818i	$0.439208\pi$
$830$	−699.651	−	205.436i	−0.842954	−	0.247513i
$831$	329.290	−	380.021i	0.396258	−	0.457306i
$832$	831.515	+	534.382i	0.999417	+	0.642286i
$833$	−326.079	−	46.8830i	−0.391451	−	0.0562821i
$834$	−193.694	+	124.479i	−0.232246	+	0.149256i
$835$	162.305	−	74.1221i	0.194377	−	0.0887690i
$836$	76.9325	+	88.7849i	0.0920245	+	0.106202i
$837$	−112.728	−	784.041i	−0.134681	−	0.936728i
$838$	−583.659	−	266.548i	−0.696491	−	0.318077i
$839$	309.896	+	1055.41i	0.369363	+	1.25793i	0.909269	+	0.416209i	$0.136642\pi$
$839$	309.896	+	1055.41i	0.369363	+	1.25793i	−0.539906	+	0.841725i	$0.681540\pi$
$840$	−1442.00	+	423.410i	−1.71667	+	0.504059i
$841$	−288.658	+	632.072i	−0.343231	+	0.751572i
$842$	1121.20	−	161.205i	1.33160	−	0.191455i
$843$	−336.935	+	291.956i	−0.399686	+	0.346330i
$844$	−60.8264	−	133.191i	−0.0720692	−	0.157810i
$845$	−88.3634	−	137.496i	−0.104572	−	0.162717i
$846$	−11.0811	+	77.0708i	−0.0130982	+	0.0911002i
$847$	−230.061	+	357.981i	−0.271618	+	0.422646i
$848$	−238.897	−	207.006i	−0.281718	−	0.244110i
$849$	−117.382	+	399.766i	−0.138259	+	0.470867i
$850$			14.0085i			0.0164806i
$851$	−456.875	−	595.405i	−0.536868	−	0.699653i
$852$	−86.8042			−0.101883
$853$	−539.689	−	158.467i	−0.632696	−	0.185776i	−0.0503685	−	0.998731i	$-0.516040\pi$
$853$	−539.689	−	158.467i	−0.632696	−	0.185776i	−0.582327	+	0.812954i	$0.697858\pi$
$854$	−217.654	+	251.186i	−0.254864	+	0.294129i
$855$	475.157	+	305.365i	0.555740	+	0.357152i
$856$	−108.723	−	15.6321i	−0.127013	−	0.0182617i
$857$	1008.08	−	647.852i	1.17629	−	0.755953i	0.201586	−	0.979471i	$-0.435390\pi$
$857$	1008.08	−	647.852i	1.17629	−	0.755953i	0.974700	+	0.223518i	$0.0717541\pi$
$858$	−766.045	+	349.841i	−0.892826	+	0.407740i
$859$	682.335	+	787.456i	0.794336	+	0.916713i	0.998056	−	0.0623165i	$-0.0198488\pi$
$859$	682.335	+	787.456i	0.794336	+	0.916713i	−0.203720	+	0.979029i	$0.565303\pi$
$860$	3.07644	+	21.3971i	0.00357726	+	0.0248804i
$861$	−1845.94	−	843.011i	−2.14395	−	0.979107i
$862$	141.133	+	480.655i	0.163727	+	0.557605i
$863$	127.667	−	37.4865i	0.147934	−	0.0434374i	−0.206927	−	0.978356i	$-0.566346\pi$
$863$	127.667	−	37.4865i	0.147934	−	0.0434374i	0.354861	+	0.934919i	$0.384528\pi$
$864$	57.3382	−	125.553i	0.0663637	−	0.145316i
$865$	1395.68	−	200.668i	1.61350	−	0.231986i
$866$	−634.674	+	549.948i	−0.732879	+	0.635044i
$867$	−354.715	−	776.718i	−0.409129	−	0.895868i
$868$	−109.902	−	171.011i	−0.126615	−	0.197017i
$869$	−77.2769	+	537.473i	−0.0889263	+	0.618496i
$870$	−225.313	+	350.593i	−0.258980	+	0.402981i
$871$	−802.029	−	694.962i	−0.920814	−	0.797890i
$872$	−27.2430	+	92.7811i	−0.0312420	+	0.106400i
$873$		−	34.3090i		−	0.0393001i
$874$	−1134.99	−	408.004i	−1.29861	−	0.466823i
$875$	1190.29			1.36034
$876$	121.179	+	35.5812i	0.138332	+	0.0406178i
$877$	−678.182	+	782.664i	−0.773298	+	0.892433i	−0.996606	−	0.0823147i	$-0.973769\pi$
$877$	−678.182	+	782.664i	−0.773298	+	0.892433i	0.223309	+	0.974748i	$0.428314\pi$
$878$	−354.842	−	228.043i	−0.404148	−	0.259730i
$879$	986.556	+	141.845i	1.12236	+	0.161371i
$880$	522.981	−	336.099i	0.594296	−	0.381931i
$881$	−1244.95	+	568.547i	−1.41310	+	0.645343i	−0.968187	−	0.250228i	$-0.919494\pi$
$881$	−1244.95	+	568.547i	−1.41310	+	0.645343i	−0.444918	+	0.895571i	$0.646767\pi$
$882$	222.780	+	257.102i	0.252585	+	0.291499i
$883$	56.6266	+	393.847i	0.0641298	+	0.446032i	0.996435	+	0.0843606i	$0.0268848\pi$
$883$	56.6266	+	393.847i	0.0641298	+	0.446032i	−0.932306	+	0.361672i	$0.882206\pi$
$884$	44.4013	+	20.2774i	0.0502278	+	0.0229382i
$885$	41.7932	+	142.335i	0.0472240	+	0.160830i
$886$	−196.528	+	57.7058i	−0.221815	+	0.0651307i
$887$	156.583	−	342.868i	0.176530	−	0.386548i	−0.800597	−	0.599204i	$-0.795484\pi$
$887$	156.583	−	342.868i	0.176530	−	0.386548i	0.977127	+	0.212656i	$0.0682113\pi$
$888$	977.211	−	140.502i	1.10046	−	0.158223i
$889$	1568.88	−	1359.44i	1.76477	−	1.52918i
$890$	−233.048	−	510.305i	−0.261852	−	0.573376i
$891$	479.854	+	746.667i	0.538557	+	0.838010i
$892$	22.5785	−	157.037i	0.0253122	−	0.176050i
$893$	−158.231	+	246.212i	−0.177190	+	0.275713i
$894$	−168.667	−	146.151i	−0.188665	−	0.163479i
$895$	−215.319	+	733.308i	−0.240580	+	0.819339i
$896$			977.251i			1.09068i
$897$	−692.340	+	948.180i	−0.771839	+	1.05706i
$898$	1469.01			1.63587
$899$	−506.478	−	148.715i	−0.563379	−	0.165423i
$900$	−1.28641	+	1.48459i	−0.00142934	+	0.00164955i
$901$	−138.137	−	88.7752i	−0.153315	−	0.0985296i
$902$	945.580	+	135.954i	1.04831	+	0.150725i
$903$	261.177	−	167.848i	0.289233	−	0.185879i
$904$	−867.436	+	396.145i	−0.959553	+	0.438213i
$905$	−891.914	−	1029.32i	−0.985540	−	1.13737i
$906$	1.29438	+	9.00259i	0.00142867	+	0.00993663i
$907$	4.89677	+	2.23628i	0.00539887	+	0.00246558i	0.418113	−	0.908395i	$-0.362692\pi$
$907$	4.89677	+	2.23628i	0.00539887	+	0.00246558i	−0.412714	+	0.910861i	$0.635419\pi$
$908$	50.3769	+	171.568i	0.0554812	+	0.188952i
$909$	−308.337	+	90.5360i	−0.339205	+	0.0995995i
$910$	549.042	−	1202.23i	0.603343	−	1.32114i
$911$	−308.740	+	44.3901i	−0.338902	+	0.0487268i	−0.309665	−	0.950846i	$-0.600217\pi$
$911$	−308.740	+	44.3901i	−0.338902	+	0.0487268i	−0.0292371	+	0.999573i	$0.509308\pi$
$912$	1053.63	−	912.975i	1.15529	−	1.00107i
$913$	278.098	+	608.950i	0.304598	+	0.666977i
$914$	−24.4920	−	38.1104i	−0.0267965	−	0.0416962i
$915$	−47.5653	+	330.824i	−0.0519839	+	0.361556i
$916$	−21.7302	+	33.8128i	−0.0237229	+	0.0369135i
$917$	385.496	+	334.034i	0.420389	+	0.364269i
$918$	−69.0428	+	235.138i	−0.0752101	+	0.256142i
$919$		−	690.362i		−	0.751210i	−0.926780	−	0.375605i	$-0.877435\pi$
$919$		−	690.362i		−	0.751210i	0.926780	−	0.375605i	$-0.122565\pi$
$920$	462.345	−	871.222i	0.502549	−	0.946980i
$921$	−1336.59			−1.45124
$922$	822.704	+	241.568i	0.892303	+	0.262004i
$923$	468.122	−	540.241i	0.507174	−	0.585310i
$924$	123.953	+	79.6598i	0.134148	+	0.0862119i
$925$	33.4907	+	4.81524i	0.0362062	+	0.00520567i
$926$	−946.333	+	608.171i	−1.02196	+	0.656772i
$927$	−198.846	+	90.8099i	−0.214505	+	0.0979611i
$928$	−60.2348	−	69.5147i	−0.0649082	−	0.0749081i
$929$	−40.9668	−	284.930i	−0.0440977	−	0.306706i	−0.999919	−	0.0127567i	$-0.995939\pi$
$929$	−40.9668	−	284.930i	−0.0440977	−	0.306706i	0.955821	−	0.293950i	$-0.0949698\pi$
$930$	1369.33	+	625.353i	1.47240	+	0.672423i
$931$	360.257	+	1226.92i	0.386958	+	1.31786i
$932$	191.515	−	56.2339i	0.205488	−	0.0603368i
$933$	563.205	−	1233.25i	0.603650	−	1.32181i
$934$	−809.340	+	116.366i	−0.866531	+	0.124588i
$935$	244.054	−	211.474i	0.261020	−	0.226176i
$936$	−196.085	−	429.366i	−0.209492	−	0.458724i
$937$	−696.887	−	1084.38i	−0.743743	−	1.15729i	−0.982510	−	0.186210i	$-0.940380\pi$
$937$	−696.887	−	1084.38i	−0.743743	−	1.15729i	0.238767	−	0.971077i	$-0.423257\pi$
$938$	194.593	−	1353.43i	0.207456	−	1.44289i
$939$	−37.7033	+	58.6675i	−0.0401526	+	0.0624787i
$940$	−19.3161	−	16.7375i	−0.0205490	−	0.0178058i
$941$	−326.110	+	1110.63i	−0.346557	+	1.18026i	0.583274	+	0.812276i	$0.301771\pi$
$941$	−326.110	+	1110.63i	−0.346557	+	1.18026i	−0.929831	+	0.367988i	$0.880047\pi$
$942$		−	1762.20i		−	1.87071i
$943$	1242.20	−	480.236i	1.31728	−	0.509264i
$944$	111.908			0.118547
$945$	−864.555	−	253.856i	−0.914873	−	0.268631i
$946$	−95.7078	+	110.453i	−0.101171	+	0.116758i
$947$	−592.374	−	380.696i	−0.625527	−	0.402002i	0.189124	−	0.981953i	$-0.439435\pi$
$947$	−592.374	−	380.696i	−0.625527	−	0.402002i	−0.814651	+	0.579951i	$0.803072\pi$
$948$	−105.261	−	15.1342i	−0.111035	−	0.0159644i
$949$	−874.943	+	562.292i	−0.921963	+	0.592510i
$950$	49.4615	−	22.5883i	0.0520647	−	0.0237772i
$951$	485.040	+	559.766i	0.510032	+	0.588608i
$952$	83.8138	+	582.938i	0.0880397	+	0.612330i
$953$	−373.448	−	170.548i	−0.391865	−	0.178959i	0.209731	−	0.977759i	$-0.432741\pi$
$953$	−373.448	−	170.548i	−0.391865	−	0.178959i	−0.601596	+	0.798800i	$0.705468\pi$
$954$	47.7729	+	162.700i	0.0500764	+	0.170545i
$955$	747.198	−	219.397i	0.782407	−	0.229735i
$956$	−45.6483	+	99.9558i	−0.0477492	+	0.104556i
$957$	378.712	−	54.4506i	0.395729	−	0.0568972i
$958$	660.829	−	572.612i	0.689801	−	0.597716i
$959$	−432.509	−	947.064i	−0.451000	−	0.987553i
$960$	692.374	+	1077.35i	0.721223	+	1.12224i
$961$	−134.589	+	936.088i	−0.140051	+	0.974077i
$962$	−469.397	+	730.395i	−0.487938	+	0.759247i
$963$	39.1291	+	33.9056i	0.0406325	+	0.0352083i
$964$	27.5092	−	93.6876i	0.0285365	−	0.0971863i
$965$		−	1634.11i		−	1.69337i
$966$	−1510.01	−	89.9446i	−1.56316	−	0.0931104i
$967$	764.188			0.790266			0.395133	−	0.918624i	$-0.370698\pi$
$967$	764.188			0.790266			0.395133	+	0.918624i	$0.370698\pi$
$968$	352.489	+	103.500i	0.364141	+	0.106922i
$969$	474.251	−	547.315i	0.489423	−	0.564824i
$970$	−69.7697	−	44.8382i	−0.0719275	−	0.0462250i
$971$	290.719	+	41.7990i	0.299401	+	0.0430474i	0.290378	−	0.956912i	$-0.406219\pi$
$971$	290.719	+	41.7990i	0.299401	+	0.0430474i	0.00902286	+	0.999959i	$0.497128\pi$
$972$	−80.5486	+	51.7654i	−0.0828689	+	0.0532566i
$973$	−301.762	+	137.810i	−0.310136	+	0.141634i
$974$	−158.509	−	182.929i	−0.162740	−	0.187812i
$975$	−7.53278	−	52.3916i	−0.00772593	−	0.0537350i
$976$	229.350	+	104.740i	0.234989	+	0.107316i
$977$	−265.970	−	905.812i	−0.272232	−	0.927136i	−0.976194	−	0.216899i	$-0.930406\pi$
$977$	−265.970	−	905.812i	−0.272232	−	0.927136i	0.703962	−	0.710237i	$-0.251412\pi$
$978$	−615.850	+	180.830i	−0.629703	+	0.184897i
$979$	−213.955	+	468.496i	−0.218544	+	0.478546i
$980$	−110.533	+	15.8923i	−0.112789	+	0.0162166i
$981$	34.4471	−	29.8485i	0.0351142	−	0.0304267i
$982$	−146.163	−	320.053i	−0.148842	−	0.325919i
$983$	661.021	+	1028.57i	0.672453	+	1.04636i	0.995007	+	0.0998059i	$0.0318222\pi$
$983$	661.021	+	1028.57i	0.672453	+	1.04636i	−0.322554	+	0.946551i	$0.604541\pi$
$984$	−249.328	+	1734.12i	−0.253382	+	1.76231i
$985$	−489.709	+	762.002i	−0.497167	+	0.773606i
$986$	123.423	+	106.947i	0.125176	+	0.108465i
$987$	−103.416	+	352.203i	−0.104778	+	0.356842i
$988$		−	189.470i		−	0.191771i
$989$	−40.9367	+	199.594i	−0.0413920	+	0.201813i
$990$	−333.480			−0.336849
$991$	453.548	+	133.174i	0.457667	+	0.134383i	0.502436	−	0.864614i	$-0.332437\pi$
$991$	453.548	+	133.174i	0.457667	+	0.134383i	−0.0447693	+	0.998997i	$0.514255\pi$
$992$	−217.578	+	251.098i	−0.219332	+	0.253123i
$993$	957.125	+	615.107i	0.963872	+	0.619443i
$994$	911.659	+	131.077i	0.917162	+	0.131868i
$995$	−1259.65	+	809.530i	−1.26598	+	0.813598i
$996$	−119.259	+	54.4639i	−0.119738	+	0.0546827i
$997$	34.3033	+	39.5881i	0.0344065	+	0.0397072i	0.772692	−	0.634781i	$-0.218910\pi$
$997$	34.3033	+	39.5881i	0.0344065	+	0.0397072i	−0.738285	+	0.674488i	$0.764364\pi$
$998$	141.667	+	985.314i	0.141951	+	0.987289i
$999$	538.424	+	245.890i	0.538963	+	0.246136i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	23.3.d.a.5.2	✓	30
3.2	odd	2		207.3.j.a.28.2		30
4.3	odd	2		368.3.p.a.97.1		30
23.3	even	11		529.3.b.b.528.22		30
23.14	odd	22	inner	23.3.d.a.14.2	yes	30
23.20	odd	22		529.3.b.b.528.21		30
69.14	even	22		207.3.j.a.37.2		30
92.83	even	22		368.3.p.a.129.1		30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
23.3.d.a.5.2	✓	30	1.1	even	1	trivial
23.3.d.a.14.2	yes	30	23.14	odd	22	inner
207.3.j.a.28.2		30	3.2	odd	2
207.3.j.a.37.2		30	69.14	even	22
368.3.p.a.97.1		30	4.3	odd	2
368.3.p.a.129.1		30	92.83	even	22
529.3.b.b.528.21		30	23.20	odd	22
529.3.b.b.528.22		30	23.3	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)

\(f(q)\)	\(=\)	\(q+(-1.80062 - 0.528710i) q^{2} +(2.35762 - 2.72084i) q^{3} +(-0.402313 - 0.258551i) q^{4} +(5.05070 + 0.726181i) q^{5} +(-5.68372 + 3.65270i) q^{6} +(-8.85488 + 4.04389i) q^{7} +(5.50346 + 6.35133i) q^{8} +(-0.563759 - 3.92103i) q^{9} +O(q^{10})\)	\(q+(-1.80062 - 0.528710i) q^{2} +(2.35762 - 2.72084i) q^{3} +(-0.402313 - 0.258551i) q^{4} +(5.05070 + 0.726181i) q^{5} +(-5.68372 + 3.65270i) q^{6} +(-8.85488 + 4.04389i) q^{7} +(5.50346 + 6.35133i) q^{8} +(-0.563759 - 3.92103i) q^{9} +(-8.71046 - 3.97793i) q^{10} +(2.47679 + 8.43516i) q^{11} +(-1.65198 + 0.485064i) q^{12} +(5.88998 - 12.8972i) q^{13} +(18.0823 - 2.59984i) q^{14} +(13.8835 - 12.0301i) q^{15} +(-5.75698 - 12.6060i) q^{16} +(-3.89198 - 6.05604i) q^{17} +(-1.05797 + 7.35835i) q^{18} +(-15.1071 + 23.5071i) q^{19} +(-1.84421 - 1.59802i) q^{20} +(-9.87368 + 33.6267i) q^{21} -16.4980i q^{22} +(-11.2623 - 20.0540i) q^{23} +30.2560 q^{24} +(0.994925 + 0.292136i) q^{25} +(-17.4245 + 20.1090i) q^{26} +(15.2604 + 9.80727i) q^{27} +(4.60798 + 0.662528i) q^{28} +(10.1696 - 6.53559i) q^{29} +(-31.3593 + 14.3213i) q^{30} +(-28.5951 - 33.0005i) q^{31} +(-1.08286 - 7.53147i) q^{32} +(28.7900 + 13.1480i) q^{33} +(3.80609 + 12.9624i) q^{34} +(-47.6599 + 13.9942i) q^{35} +(-0.786978 + 1.72324i) q^{36} +(32.2980 - 4.64376i) q^{37} +(39.6306 - 34.3401i) q^{38} +(-21.2050 - 46.4325i) q^{39} +(23.1841 + 36.0752i) q^{40} +(-8.24061 + 57.3147i) q^{41} +(35.5575 - 55.3285i) q^{42} +(-6.69490 - 5.80117i) q^{43} +(1.18447 - 4.03395i) q^{44} -20.2133i q^{45} +(9.67632 + 42.0641i) q^{46} +10.4739 q^{47} +(-47.8717 - 14.0564i) q^{48} +(29.9676 - 34.5845i) q^{49} +(-1.63703 - 1.05205i) q^{50} +(-25.6533 - 3.68839i) q^{51} +(-5.70421 + 3.66587i) q^{52} +(20.7485 - 9.47552i) q^{53} +(-22.2930 - 25.7275i) q^{54} +(6.38405 + 44.4021i) q^{55} +(-74.4165 - 33.9849i) q^{56} +(28.3423 + 96.5249i) q^{57} +(-21.7670 + 6.39136i) q^{58} +(-3.35452 + 7.34538i) q^{59} +(-8.69589 + 1.25028i) q^{60} +(-13.7498 + 11.9143i) q^{61} +(34.0412 + 74.5399i) q^{62} +(20.8482 + 32.4405i) q^{63} +(-9.92115 + 69.0031i) q^{64} +(39.1143 - 60.8630i) q^{65} +(-44.8885 - 38.8961i) q^{66} +(21.0871 - 71.8162i) q^{67} +3.44270i q^{68} +(-81.1158 - 16.6369i) q^{69} +93.2164 q^{70} +(48.3749 + 14.2042i) q^{71} +(21.8011 - 25.1599i) q^{72} +(-61.7090 - 39.6580i) q^{73} +(-60.6117 - 8.71465i) q^{74} +(3.14051 - 2.01829i) q^{75} +(12.1556 - 5.55126i) q^{76} +(-56.0425 - 64.6765i) q^{77} +(13.6329 + 94.8187i) q^{78} +(56.1842 + 25.6584i) q^{79} +(-19.9225 - 67.8499i) q^{80} +(96.8703 - 28.4437i) q^{81} +(45.1411 - 98.8452i) q^{82} +(75.3740 - 10.8371i) q^{83} +(12.6665 - 10.9756i) q^{84} +(-15.2595 - 33.4135i) q^{85} +(8.98785 + 13.9854i) q^{86} +(6.19372 - 43.0783i) q^{87} +(-39.9436 + 62.1535i) q^{88} +(44.2758 + 38.3652i) q^{89} +(-10.6870 + 36.3966i) q^{90} +138.022i q^{91} +(-0.654018 + 10.9798i) q^{92} -157.206 q^{93} +(-18.8596 - 5.53766i) q^{94} +(-93.3719 + 107.757i) q^{95} +(-23.0449 - 14.8101i) q^{96} +(8.57277 + 1.23258i) q^{97} +(-72.2455 + 46.4294i) q^{98} +(31.6782 - 14.4670i) 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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