LMFDB - Embedded newform 23.3.d.a.14.2

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			14.2
Character	$\chi$	$=$	23.14
Dual form			23.3.d.a.5.2

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

$n$	$5$
$\chi(n)$	$e\left(\frac{21}{22}\right)$

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	−0.698957	−	0.715164i	$-0.746352\pi$
$2$	−1.80062	+	0.528710i	−0.900310	+	0.264355i	−0.201353	+	0.979519i	$0.564534\pi$
$3$	2.35762	+	2.72084i	0.785874	+	0.906947i	0.997519	−	0.0703999i	$-0.0224275\pi$
$3$	2.35762	+	2.72084i	0.785874	+	0.906947i	−0.211645	+	0.977347i	$0.567882\pi$
$4$	−0.402313	+	0.258551i	−0.100578	+	0.0646377i
$5$	5.05070	−	0.726181i	1.01014	−	0.145236i	0.382677	−	0.923882i	$-0.375002\pi$
$5$	5.05070	−	0.726181i	1.01014	−	0.145236i	0.627463	+	0.778646i	$0.284093\pi$
$6$	−5.68372	−	3.65270i	−0.947286	−	0.608784i
$7$	−8.85488	−	4.04389i	−1.26498	−	0.577698i	−0.333935	−	0.942596i	$-0.608377\pi$
$7$	−8.85488	−	4.04389i	−1.26498	−	0.577698i	−0.931047	+	0.364898i	$0.881104\pi$
$8$	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	−0.766975	−	0.641677i	$-0.778239\pi$
$11$	2.47679	−	8.43516i	0.225162	−	0.766833i	0.992137	−	0.125155i	$-0.0399430\pi$
$12$	−1.65198	−	0.485064i	−0.137665	−	0.0404220i
$13$	5.88998	+	12.8972i	0.453075	+	0.992096i	0.989012	+	0.147838i	$0.0472314\pi$
$13$	5.88998	+	12.8972i	0.453075	+	0.992096i	−0.535937	+	0.844258i	$0.680041\pi$
$14$	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	−0.936651	−	0.350265i	$-0.886092\pi$
$17$	−3.89198	+	6.05604i	−0.228940	+	0.356238i	0.707711	+	0.706502i	$0.249728\pi$
$18$	−1.05797	−	7.35835i	−0.0587762	−	0.408797i
$19$	−15.1071	−	23.5071i	−0.795111	−	1.23722i	−0.967671	−	0.252217i	$-0.918840\pi$
$19$	−15.1071	−	23.5071i	−0.795111	−	1.23722i	0.172560	−	0.984999i	$-0.444796\pi$
$20$	−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	0.704105	−	0.710096i	$-0.251348\pi$
$29$	10.1696	+	6.53559i	0.350675	+	0.225365i	−0.353430	+	0.935461i	$0.614985\pi$
$30$	−31.3593	−	14.3213i	−1.04531	−	0.477377i
$31$	−28.5951	+	33.0005i	−0.922423	+	1.06453i	0.0753051	+	0.997161i	$0.476007\pi$
$31$	−28.5951	+	33.0005i	−0.922423	+	1.06453i	−0.997728	+	0.0673722i	$0.978539\pi$
$32$	−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	0.564192	−	0.825643i	$-0.309188\pi$
$37$	32.2980	+	4.64376i	0.872920	+	0.125507i	0.308728	+	0.951150i	$0.400097\pi$
$38$	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	−0.801353	−	0.598192i	$-0.795886\pi$
$41$	−8.24061	−	57.3147i	−0.200991	−	1.39792i	0.600362	−	0.799728i	$-0.295023\pi$
$42$	35.5575	+	55.3285i	0.846607	+	1.31735i
$43$	−6.69490	+	5.80117i	−0.155695	+	0.134911i	−0.729225	−	0.684274i	$-0.760119\pi$
$43$	−6.69490	+	5.80117i	−0.155695	+	0.134911i	0.573530	+	0.819185i	$0.305574\pi$
$44$	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	0.601424	−	0.798930i	$-0.294600\pi$
$53$	20.7485	+	9.47552i	0.391481	+	0.178783i	−0.209943	+	0.977714i	$0.567328\pi$
$54$	−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	0.879071	−	0.476690i	$-0.158164\pi$
$59$	−3.35452	−	7.34538i	−0.0568563	−	0.124498i	−0.935928	+	0.352192i	$0.885436\pi$
$60$	−8.69589	−	1.25028i	−0.144931	−	0.0208380i
$61$	−13.7498	−	11.9143i	−0.225407	−	0.195317i	0.534834	−	0.844957i	$-0.320374\pi$
$61$	−13.7498	−	11.9143i	−0.225407	−	0.195317i	−0.760242	+	0.649640i	$0.774919\pi$
$62$	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	0.953227	+	0.302256i	$0.0977398\pi$
$67$	21.0871	+	71.8162i	0.314733	+	1.07188i	−0.638493	+	0.769627i	$0.720442\pi$
$68$		−	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	0.0772916	−	0.997009i	$-0.475373\pi$
$71$	48.3749	−	14.2042i	0.681337	−	0.200059i	0.604045	+	0.796950i	$0.293555\pi$
$72$	21.8011	+	25.1599i	0.302794	+	0.349442i
$73$	−61.7090	+	39.6580i	−0.845329	+	0.543260i	−0.890115	−	0.455737i	$-0.849376\pi$
$73$	−61.7090	+	39.6580i	−0.845329	+	0.543260i	0.0447858	+	0.998997i	$0.485739\pi$
$74$	−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	−0.0267618	−	0.999642i	$-0.508520\pi$
$79$	56.1842	−	25.6584i	0.711192	−	0.324790i	0.737954	+	0.674851i	$0.235792\pi$
$80$	−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	0.580518	−	0.814248i	$-0.302850\pi$
$83$	75.3740	+	10.8371i	0.908120	+	0.130568i	0.327603	+	0.944816i	$0.393759\pi$
$84$	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	−0.369634	−	0.929177i	$-0.620517\pi$
$89$	44.2758	−	38.3652i	0.497481	−	0.431070i	0.867115	+	0.498107i	$0.165972\pi$
$90$	−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	−0.0979834	−	0.995188i	$-0.531239\pi$
$97$	8.57277	−	1.23258i	0.0883791	−	0.0127070i	0.186362	+	0.982481i	$0.440330\pi$
$98$	−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	0.849342	+	0.527843i	$0.176999\pi$
$101$	−11.5449	+	80.2967i	−0.114306	+	0.795017i	−0.963648	+	0.267174i	$0.913910\pi$
$102$	44.2418	−	20.2046i	0.433744	−	0.198084i
$103$	−15.5469	+	52.9480i	−0.150941	+	0.514058i	−0.999896	−	0.0144067i	$-0.995414\pi$
$103$	−15.5469	+	52.9480i	−0.150941	+	0.514058i	0.848955	+	0.528465i	$0.177232\pi$
$104$	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	0.607481	−	0.794334i	$-0.292180\pi$
$107$	−9.87772	−	8.55910i	−0.0923152	−	0.0799916i	−0.699796	+	0.714343i	$0.746726\pi$
$108$	−3.60378	+	7.89118i	−0.0333684	+	0.0730665i
$109$	6.22071	−	9.67961i	0.0570707	−	0.0888038i	−0.811546	−	0.584289i	$-0.801373\pi$
$109$	6.22071	−	9.67961i	0.0570707	−	0.0888038i	0.868616	+	0.495485i	$0.165010\pi$
$110$	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	−0.971241	−	0.238098i	$-0.923476\pi$
$113$	−31.9685	−	108.875i	−0.282907	−	0.963492i	0.688334	−	0.725393i	$-0.258342\pi$
$114$			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	−0.652522	−	0.757770i	$-0.726289\pi$
$127$	−204.615	−	60.0803i	−1.61114	−	0.473073i	−0.958618	+	0.284696i	$0.908107\pi$
$128$	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	−0.974336	−	0.225098i	$-0.927730\pi$
$131$	−21.7675	+	47.6641i	−0.166164	+	0.363848i	0.808172	+	0.588946i	$0.200457\pi$
$132$	−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	$-0.872357\pi$
$137$		−	106.954i		−	0.780685i	0.920670	−	0.390343i	$-0.127643\pi$
$138$	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	−0.922350	−	0.386355i	$-0.873734\pi$
$149$	9.30643	−	31.6948i	0.0624593	−	0.212717i	0.984810	+	0.173638i	$0.0555522\pi$
$150$	−6.72196	−	1.97375i	−0.0448131	−	0.0131583i
$151$	0.559226	+	1.22453i	0.00370348	+	0.00810950i	0.911475	−	0.411356i	$-0.134945\pi$
$151$	0.559226	+	1.22453i	0.00370348	+	0.00810950i	−0.907771	+	0.419466i	$0.862217\pi$
$152$	−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	−0.917485	−	0.397771i	$-0.869784\pi$
$157$	−141.013	−	219.421i	−0.898173	−	1.39758i	0.0193120	−	0.999814i	$-0.493852\pi$
$158$	−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	0.0101046	−	0.999949i	$-0.496784\pi$
$163$	91.1526	−	26.7648i	0.559218	−	0.164201i	0.549114	+	0.835748i	$0.314965\pi$
$164$	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	0.625744	−	0.780028i	$-0.284795\pi$
$167$	29.4169	+	18.9051i	0.176149	+	0.113204i	−0.449595	+	0.893233i	$0.648432\pi$
$168$	−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	0.935845	−	0.352411i	$-0.114638\pi$
$173$	265.140	+	77.8521i	1.53260	+	0.450012i	0.596755	+	0.802423i	$0.296456\pi$
$174$	−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	−0.958570	−	0.284857i	$-0.908054\pi$
$179$	−21.3157	−	148.254i	−0.119082	−	0.828235i	0.839488	−	0.543378i	$-0.182855\pi$
$180$	−5.22618	−	8.13209i	−0.0290343	−	0.0451783i
$181$	−201.724	+	174.795i	−1.11450	+	0.965716i	−0.999617	−	0.0276634i	$-0.991193\pi$
$181$	−201.724	+	174.795i	−1.11450	+	0.965716i	−0.114879	+	0.993380i	$0.536648\pi$
$182$	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	0.744235	−	0.667917i	$-0.232814\pi$
$191$	138.824	+	63.3989i	0.726828	+	0.331931i	−0.0174076	+	0.999848i	$0.505541\pi$
$192$	164.356	−	189.677i	0.856021	−	0.987901i
$193$	−45.5759	+	316.988i	−0.236145	+	1.64242i	0.434520	+	0.900662i	$0.356918\pi$
$193$	−45.5759	+	316.988i	−0.236145	+	1.64242i	−0.670665	+	0.741760i	$0.733991\pi$
$194$	−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	−0.999241	−	0.0389669i	$-0.987593\pi$
$197$	−73.7423	−	161.473i	−0.374326	−	0.819660i	0.624914	−	0.780693i	$-0.285134\pi$
$198$	−64.6893	−	9.30091i	−0.326713	−	0.0469743i
$199$	−221.772	−	192.167i	−1.11443	−	0.965662i	−0.114818	−	0.993387i	$-0.536629\pi$
$199$	−221.772	−	192.167i	−1.11443	−	0.965662i	−0.999616	+	0.0277240i	$0.991174\pi$
$200$	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	0.238303	−	0.971191i	$-0.423409\pi$
$211$	257.573	−	165.532i	1.22072	−	0.784512i	0.982421	+	0.186679i	$0.0597725\pi$
$212$	−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	−0.298974	−	0.954261i	$-0.596645\pi$
$223$	137.813	−	301.768i	0.617995	−	1.35322i	0.916969	−	0.398958i	$-0.130628\pi$
$224$	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	−0.250970	+	0.967995i	$0.580750\pi$
$227$	−282.576	+	244.854i	−1.24483	+	1.07865i	−0.993859	+	0.110655i	$0.964705\pi$
$228$	13.5541	+	46.1611i	0.0594479	+	0.202461i
$229$			84.0460i			0.367013i	0.983019	+	0.183506i	$0.0587448\pi$
$229$			84.0460i			0.367013i	−0.983019	+	0.183506i	$0.941255\pi$
$230$	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	−0.922653	−	0.385632i	$-0.873984\pi$
$233$	−273.321	−	315.429i	−1.17305	−	1.35377i	−0.250399	−	0.968143i	$-0.580562\pi$
$234$	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	0.799547	+	0.600604i	$0.205073\pi$
$239$	−32.7006	+	227.437i	−0.136822	+	0.951621i	−0.936369	+	0.351017i	$0.885836\pi$
$240$	−231.578	+	105.758i	−0.964910	+	0.440660i
$241$	57.5228	−	195.905i	0.238684	−	0.812883i	−0.749814	−	0.661649i	$-0.769857\pi$
$241$	57.5228	−	195.905i	0.238684	−	0.812883i	0.988498	−	0.151234i	$-0.0483248\pi$
$242$	−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	0.986138	−	0.165925i	$-0.0530610\pi$
$251$	16.7769	+	57.1368i	0.0668402	+	0.227637i	−0.919298	+	0.393562i	$0.871243\pi$
$252$			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	−0.737953	−	0.674852i	$-0.764207\pi$
$257$	−110.675	+	71.1266i	−0.430643	+	0.276757i	0.307310	+	0.951609i	$0.400571\pi$
$258$	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	−0.499333	−	0.866410i	$-0.666422\pi$
$263$	−45.1146	+	20.6032i	−0.171538	+	0.0783390i	0.327795	+	0.944749i	$0.393694\pi$
$264$	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	−0.987875	−	0.155254i	$-0.950380\pi$
$269$	−60.1541	+	131.719i	−0.223621	+	0.489662i	0.764253	+	0.644916i	$0.223108\pi$
$270$	−93.9125	+	146.131i	−0.347824	+	0.541225i
$271$	26.1899	+	182.155i	0.0966416	+	0.672157i	0.979341	+	0.202218i	$0.0648150\pi$
$271$	26.1899	+	182.155i	0.0966416	+	0.672157i	−0.882699	+	0.469939i	$0.844276\pi$
$272$	−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	−0.356921	−	0.934135i	$-0.616173\pi$
$281$	−122.574	+	17.6235i	−0.436208	+	0.0627173i	−0.0792871	+	0.996852i	$0.525264\pi$
$282$	−59.5308	−	38.2581i	−0.211102	−	0.135667i
$283$	−105.270	−	48.0752i	−0.371979	−	0.169877i	0.220649	−	0.975353i	$-0.429182\pi$
$283$	−105.270	−	48.0752i	−0.371979	−	0.169877i	−0.592628	+	0.805476i	$0.701910\pi$
$284$	−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	−0.486034	−	0.873940i	$-0.661557\pi$
$293$	149.675	−	232.899i	0.510835	−	0.794875i	0.996870	+	0.0790644i	$0.0251933\pi$
$294$	−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	−0.997910	−	0.0646250i	$-0.979415\pi$
$307$	−243.121	+	280.577i	−0.791925	+	0.913930i	0.205985	+	0.978555i	$0.433960\pi$
$308$	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	0.805142	−	0.593083i	$-0.202089\pi$
$311$	361.328	+	106.095i	1.16182	+	0.341143i	0.356683	+	0.934225i	$0.383907\pi$
$312$	178.207	+	390.220i	0.571177	+	1.25070i
$313$	−19.1735	−	2.75674i	−0.0612573	−	0.00880747i	0.111618	−	0.993751i	$-0.464397\pi$
$313$	−19.1735	−	2.75674i	−0.0612573	−	0.00880747i	−0.172875	+	0.984944i	$0.555306\pi$
$314$	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	−0.982439	−	0.186583i	$-0.940259\pi$
$317$	−29.2788	−	203.639i	−0.0923623	−	0.642394i	0.890077	−	0.455810i	$-0.150651\pi$
$318$	−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	−0.801819	−	0.597567i	$-0.796134\pi$
$331$	44.9745	−	312.805i	0.135875	−	0.945030i	0.937694	−	0.347463i	$-0.112957\pi$
$332$	−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	0.817545	−	0.575864i	$-0.195334\pi$
$337$	122.631	+	106.261i	0.363892	+	0.315314i	−0.453654	+	0.891178i	$0.649880\pi$
$338$	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	−0.415861	−	0.909428i	$-0.636520\pi$
$347$	−95.0886	+	27.9205i	−0.274031	+	0.0804627i	0.141830	+	0.989891i	$0.454701\pi$
$348$	−13.6297	−	15.7295i	−0.0391659	−	0.0451998i
$349$	1.15187	−	0.740263i	0.00330049	−	0.00212110i	−0.538990	−	0.842312i	$-0.681194\pi$
$349$	1.15187	−	0.740263i	0.00330049	−	0.00212110i	0.542290	+	0.840191i	$0.317557\pi$
$350$	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	0.318290	−	0.947993i	$-0.396891\pi$
$353$	427.602	−	493.479i	1.21134	−	1.39796i	0.893047	−	0.449964i	$-0.148563\pi$
$354$	−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	0.982891	−	0.184186i	$-0.0589650\pi$
$359$	672.794	+	96.7331i	1.87408	+	0.269452i	0.891186	+	0.453638i	$0.149874\pi$
$360$	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	$0.134575\pi$
$367$			301.159i			0.820595i	−0.911952	+	0.410298i	$0.865425\pi$
$368$	−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	−0.904404	−	0.426677i	$-0.859684\pi$
$373$	−616.183	+	88.5937i	−1.65196	+	0.237517i	−0.747561	+	0.664194i	$0.768775\pi$
$374$	−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	−0.447902	−	0.894083i	$-0.647829\pi$
$379$	156.252	−	532.146i	0.412275	−	1.40408i	0.860177	−	0.509996i	$-0.170353\pi$
$380$	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	0.0950716	−	0.995470i	$-0.469692\pi$
$383$	−335.790	−	290.964i	−0.876736	−	0.759696i	−0.971808	+	0.235774i	$0.924237\pi$
$384$	−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	−0.995268	−	0.0971709i	$-0.969021\pi$
$389$	−81.8961	−	278.912i	−0.210530	−	0.716999i	0.784738	−	0.619828i	$-0.212798\pi$
$390$		−	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	0.566072	−	0.824356i	$-0.308463\pi$
$397$	20.3922	+	13.1053i	0.0513657	+	0.0330107i	−0.514706	+	0.857367i	$0.672099\pi$
$398$	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	−0.933754	−	0.357915i	$-0.883488\pi$
$401$	−511.170	+	233.444i	−1.27474	+	0.582154i	−0.340985	+	0.940069i	$0.610760\pi$
$402$	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	0.979044	−	0.203649i	$-0.0652803\pi$
$409$	−7.24606	−	50.3975i	−0.0177165	−	0.123221i	−0.996760	+	0.0804283i	$0.974371\pi$
$410$	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	0.273925	−	0.961751i	$-0.411678\pi$
$419$	338.431	−	48.6590i	0.807711	−	0.116131i	0.533786	+	0.845620i	$0.320769\pi$
$420$	71.9450	+	46.2363i	0.171298	+	0.110086i
$421$	−549.052	−	250.743i	−1.30416	−	0.595590i	−0.362447	−	0.932005i	$-0.618058\pi$
$421$	−549.052	−	250.743i	−1.30416	−	0.595590i	−0.941714	+	0.336414i	$0.890786\pi$
$422$	−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	−0.967322	−	0.253551i	$-0.918402\pi$
$431$	−144.318	+	224.563i	−0.334844	+	0.521028i	0.632478	+	0.774578i	$0.282038\pi$
$432$	35.7768	+	248.833i	0.0828167	+	0.576003i
$433$	241.936	+	376.460i	0.558744	+	0.869423i	0.999604	−	0.0281533i	$-0.00896266\pi$
$433$	241.936	+	376.460i	0.558744	+	0.869423i	−0.440860	+	0.897576i	$0.645326\pi$
$434$	−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	−0.0267187	−	0.999643i	$-0.508506\pi$
$439$	215.660	−	63.3234i	0.491252	−	0.144245i	0.517971	+	0.855398i	$0.326688\pi$
$440$	−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	0.640155	−	0.768246i	$-0.278870\pi$
$443$	91.8182	+	59.0080i	0.207265	+	0.133201i	−0.432891	+	0.901446i	$0.642506\pi$
$444$	−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	−0.698334	−	0.715772i	$-0.746075\pi$
$449$	−751.081	−	220.537i	−1.67279	−	0.491174i	−0.974452	+	0.224598i	$0.927893\pi$
$450$	−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	−0.634672	−	0.772782i	$-0.718865\pi$
$457$	18.2437	−	15.8083i	0.0399206	−	0.0345914i	0.674593	+	0.738190i	$0.264319\pi$
$458$	−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	0.999951	−	0.00992239i	$-0.00315845\pi$
$463$	392.541	+	453.017i	0.847822	+	0.978438i	−0.152129	+	0.988361i	$0.548613\pi$
$464$	−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	0.791783	−	0.610802i	$-0.209153\pi$
$467$	396.332	+	180.999i	0.848677	+	0.387578i	0.0568941	+	0.998380i	$0.481880\pi$
$468$	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	0.472098	−	0.881546i	$-0.343497\pi$
$479$	−251.907	−	391.974i	−0.525901	−	0.818318i	−0.997999	+	0.0632279i	$0.979861\pi$
$480$	−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	−0.424478	−	0.905438i	$-0.639542\pi$
$487$	108.505	−	69.7321i	0.222803	−	0.143187i	0.647281	+	0.762251i	$0.275906\pi$
$488$	−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	−0.616818	−	0.787106i	$-0.711578\pi$
$491$	122.779	−	141.695i	0.250059	−	0.288584i	0.866877	+	0.498522i	$0.166124\pi$
$492$	−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	0.549714	+	0.835353i	$0.314737\pi$
$499$	−220.353	+	482.506i	−0.441590	+	0.966947i	−0.991304	+	0.131594i	$0.957991\pi$
$500$	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	−0.747693	−	0.664045i	$-0.768838\pi$
$503$	−98.9979	+	85.7822i	−0.196815	+	0.170541i	0.550878	+	0.834586i	$0.314293\pi$
$504$	−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	0.848742	−	0.528807i	$-0.177361\pi$
$509$	104.105	+	120.144i	0.204529	+	0.236039i	−0.644213	+	0.764846i	$0.722815\pi$
$510$	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	0.981161	−	0.193192i	$-0.0618840\pi$
$521$	484.306	+	419.653i	0.929569	+	0.805476i	−0.0515917	+	0.998668i	$0.516429\pi$
$522$	37.3321	−	81.7458i	0.0715174	−	0.156601i
$523$	−328.041	+	510.442i	−0.627229	+	0.975988i	0.371637	+	0.928378i	$0.378797\pi$
$523$	−328.041	+	510.442i	−0.627229	+	0.975988i	−0.998866	+	0.0476097i	$0.984840\pi$
$524$	−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	0.846557	−	0.532299i	$-0.178672\pi$
$541$	687.580	+	201.892i	1.27094	+	0.373183i	0.424386	+	0.905481i	$0.360490\pi$
$542$	−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	0.908646	+	0.417567i	$0.137117\pi$
$547$	84.4835	+	587.595i	0.154449	+	1.07421i	−0.754197	+	0.656648i	$0.771974\pi$
$548$	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	0.845280	−	0.534323i	$-0.179433\pi$
$557$	1006.42	−	144.701i	1.80686	−	0.259787i	0.961577	+	0.274536i	$0.0885242\pi$
$558$	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	0.478309	+	0.878192i	$0.341250\pi$
$563$	−224.556	+	764.768i	−0.398856	+	1.35838i	−0.877165	+	0.480189i	$0.840568\pi$
$564$	−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	−0.774914	−	0.632066i	$-0.782207\pi$
$569$	69.3865	−	107.968i	0.121945	−	0.189750i	0.896859	+	0.442317i	$0.145843\pi$
$570$	137.095	+	953.520i	0.240518	+	1.67284i
$571$	−330.974	−	515.005i	−0.579639	−	0.901936i	0.420346	−	0.907364i	$-0.361909\pi$
$571$	−330.974	−	515.005i	−0.579639	−	0.901936i	−0.999985	+	0.00542801i	$0.998272\pi$
$572$	−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	−0.222159	−	0.975010i	$-0.571311\pi$
$577$	68.1314	−	20.0052i	0.118079	−	0.0346710i	0.340238	+	0.940339i	$0.389492\pi$
$578$	−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	−0.290832	−	0.956774i	$-0.593932\pi$
$587$	−617.974	−	181.453i	−1.05277	−	0.309120i	−0.761934	+	0.647654i	$0.775750\pi$
$588$	−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	0.947150	+	0.320790i	$0.103948\pi$
$593$	76.3448	+	530.989i	0.128743	+	0.895429i	−0.818407	+	0.574639i	$0.805142\pi$
$594$	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	0.780574	−	0.625063i	$-0.214927\pi$
$601$	30.5226	+	35.2249i	0.0507863	+	0.0586105i	−0.729788	+	0.683673i	$0.760381\pi$
$602$	−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	0.781902	+	0.623402i	$0.214250\pi$
$607$	−87.3838	+	607.768i	−0.143960	+	1.00126i	−0.925862	+	0.377863i	$0.876659\pi$
$608$	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	−0.850261	−	0.526361i	$-0.823556\pi$
$613$	−914.761	−	792.645i	−1.49227	−	1.29306i	−0.642008	−	0.766698i	$-0.721898\pi$
$614$	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	0.660365	−	0.750944i	$-0.270401\pi$
$617$	−183.276	−	285.183i	−0.297043	−	0.462208i	−0.957409	+	0.288736i	$0.906765\pi$
$618$	281.768	−	244.153i	0.455935	−	0.395070i
$619$	−151.774	−	516.893i	−0.245192	−	0.835046i	−0.986483	−	0.163863i	$-0.947605\pi$
$619$	−151.774	−	516.893i	−0.245192	−	0.835046i	0.741292	−	0.671183i	$-0.234214\pi$
$620$		−	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	−0.674052	−	0.738684i	$-0.735448\pi$
$631$	−351.595	+	160.568i	−0.557202	+	0.254466i	0.116850	+	0.993150i	$0.462720\pi$
$632$	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	0.0713769	−	0.997449i	$-0.477261\pi$
$641$	685.121	−	593.661i	1.06883	−	0.926148i	0.997455	+	0.0713015i	$0.0227152\pi$
$642$	24.8784	+	84.7279i	0.0387513	+	0.131975i
$643$			672.360i			1.04566i	0.852437	+	0.522831i	$0.175124\pi$
$643$			672.360i			1.04566i	−0.852437	+	0.522831i	$0.824876\pi$
$644$	−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	0.999770	−	0.0214446i	$-0.00682655\pi$
$647$	541.061	+	624.418i	0.836262	+	0.965097i	−0.163508	+	0.986542i	$0.552281\pi$
$648$	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	−0.772357	−	0.635188i	$-0.780922\pi$
$653$	96.4268	−	670.663i	0.147667	−	1.02705i	0.920025	−	0.391861i	$-0.128168\pi$
$654$	−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	0.918016	−	0.396543i	$-0.129790\pi$
$659$	432.408	+	374.683i	0.656157	+	0.568563i	−0.261859	+	0.965106i	$0.584336\pi$
$660$	−32.0842	+	70.2545i	−0.0486124	+	0.106446i
$661$	−411.392	+	640.139i	−0.622378	+	0.968440i	0.376734	+	0.926321i	$0.377047\pi$
$661$	−411.392	+	640.139i	−0.622378	+	0.968440i	−0.999113	+	0.0421182i	$0.986589\pi$
$662$	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	0.975508	−	0.219965i	$-0.0705943\pi$
$673$	794.585	+	510.649i	1.18066	+	0.758765i	0.205154	+	0.978730i	$0.434231\pi$
$674$	−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	−0.856264	−	0.516538i	$-0.827221\pi$
$677$	−695.025	+	317.407i	−1.02663	+	0.468844i	−0.170361	+	0.985382i	$0.554493\pi$
$678$	−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	−0.136443	−	0.990648i	$-0.543567\pi$
$683$	479.186	−	1049.27i	0.701590	−	1.53627i	0.838033	−	0.545619i	$-0.183706\pi$
$684$	−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	0.309318	+	0.950959i	$0.399899\pi$
$701$	−325.982	+	1110.19i	−0.465024	+	1.58373i	−0.774342	+	0.632767i	$0.781919\pi$
$702$	−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	0.988761	−	0.149502i	$-0.0477670\pi$
$709$	313.395	+	487.652i	0.442023	+	0.687802i	−0.546738	+	0.837304i	$0.684131\pi$
$710$	−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	0.529294	−	0.848439i	$-0.322457\pi$
$719$	−16.2469	−	10.4413i	−0.0225966	−	0.0145219i	−0.551890	+	0.833917i	$0.686093\pi$
$720$	−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	−0.282768	−	0.959188i	$-0.591253\pi$
$727$	−599.278	−	86.1632i	−0.824317	−	0.118519i	−0.541549	+	0.840669i	$0.682162\pi$
$728$	−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	−0.848956	−	0.528464i	$-0.822768\pi$
$733$	−327.423	+	283.714i	−0.446689	+	0.387058i	0.402266	+	0.915523i	$0.368223\pi$
$734$	−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	0.884072	−	0.467350i	$-0.154791\pi$
$739$	218.495	+	252.156i	0.295662	+	0.341213i	−0.588410	+	0.808563i	$0.700246\pi$
$740$	−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	0.0689328	−	0.997621i	$-0.478041\pi$
$743$	−475.429	−	217.121i	−0.639878	−	0.292222i	−0.708811	+	0.705399i	$0.750768\pi$
$744$	−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	0.998309	+	0.0581373i	$0.0185161\pi$
$751$	899.644	+	779.546i	1.19793	+	1.03801i	0.199620	+	0.979873i	$0.436029\pi$
$752$	−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	0.988760	−	0.149513i	$-0.0477705\pi$
$757$	57.6300	+	196.270i	0.0761295	+	0.259273i	−0.912630	+	0.408786i	$0.865952\pi$
$758$			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	0.766995	−	0.641653i	$-0.221751\pi$
$761$	1338.70	−	393.078i	1.75914	−	0.516529i	0.992141	+	0.125125i	$0.0399331\pi$
$762$	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	−0.567770	−	0.823187i	$-0.692194\pi$
$769$	−244.124	+	111.488i	−0.317456	+	0.144977i	0.250314	+	0.968165i	$0.419466\pi$
$770$	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	−0.0863633	−	0.996264i	$-0.527525\pi$
$773$	−347.779	−	50.0031i	−0.449908	−	0.0646870i	−0.363545	+	0.931577i	$0.618434\pi$
$774$	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	−0.762680	−	0.646775i	$-0.776117\pi$
$787$	−1032.74	+	148.486i	−1.31225	+	0.188673i	−0.549569	+	0.835448i	$0.685208\pi$
$788$	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	0.746983	−	0.664843i	$-0.231501\pi$
$797$	155.586	+	134.816i	0.195215	+	0.169155i	−0.551769	+	0.833997i	$0.686047\pi$
$798$	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	−0.250461	−	0.968127i	$-0.580582\pi$
$809$	425.641	−	273.543i	0.526133	−	0.338125i	0.776594	+	0.630002i	$0.216946\pi$
$810$	−956.932	+	137.586i	−1.18140	+	0.169859i
$811$	−598.188	−	384.432i	−0.737593	−	0.474023i	0.117123	−	0.993117i	$-0.462633\pi$
$811$	−598.188	−	384.432i	−0.737593	−	0.474023i	−0.854717	+	0.519095i	$0.826269\pi$
$812$	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	0.394900	+	0.918724i	$0.370779\pi$
$821$	−458.142	+	1003.19i	−0.558030	+	1.22191i	−0.952930	+	0.303191i	$0.901948\pi$
$822$	−390.671	+	607.896i	−0.475269	+	0.739533i
$823$	−60.6386	−	421.751i	−0.0736799	−	0.512455i	−0.992923	−	0.118764i	$-0.962107\pi$
$823$	−60.6386	−	421.751i	−0.0736799	−	0.512455i	0.919243	−	0.393692i	$-0.128802\pi$
$824$	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	$-0.717600\pi$
$827$		−	1282.34i		−	1.55059i	0.631596	−	0.775297i	$-0.282400\pi$
$828$	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	−0.539906	−	0.841725i	$-0.681540\pi$
$839$	309.896	−	1055.41i	0.369363	−	1.25793i	0.909269	−	0.416209i	$-0.136642\pi$
$840$	−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	−0.582327	−	0.812954i	$-0.697858\pi$
$853$	−539.689	+	158.467i	−0.632696	+	0.185776i	−0.0503685	+	0.998731i	$0.516040\pi$
$854$	−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	0.974700	−	0.223518i	$-0.0717541\pi$
$857$	1008.08	+	647.852i	1.17629	+	0.755953i	0.201586	+	0.979471i	$0.435390\pi$
$858$	−766.045	−	349.841i	−0.892826	−	0.407740i
$859$	682.335	−	787.456i	0.794336	−	0.916713i	−0.203720	−	0.979029i	$-0.565303\pi$
$859$	682.335	−	787.456i	0.794336	−	0.916713i	0.998056	+	0.0623165i	$0.0198488\pi$
$860$	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	0.354861	−	0.934919i	$-0.384528\pi$
$863$	127.667	+	37.4865i	0.147934	+	0.0434374i	−0.206927	+	0.978356i	$0.566346\pi$
$864$	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	0.223309	−	0.974748i	$-0.428314\pi$
$877$	−678.182	−	782.664i	−0.773298	−	0.892433i	−0.996606	+	0.0823147i	$0.973769\pi$
$878$	−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	−0.444918	−	0.895571i	$-0.646767\pi$
$881$	−1244.95	−	568.547i	−1.41310	−	0.645343i	−0.968187	+	0.250228i	$0.919494\pi$
$882$	222.780	−	257.102i	0.252585	−	0.291499i
$883$	56.6266	−	393.847i	0.0641298	−	0.446032i	−0.932306	−	0.361672i	$-0.882206\pi$
$883$	56.6266	−	393.847i	0.0641298	−	0.446032i	0.996435	−	0.0843606i	$-0.0268848\pi$
$884$	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	0.977127	−	0.212656i	$-0.0682113\pi$
$887$	156.583	+	342.868i	0.176530	+	0.386548i	−0.800597	+	0.599204i	$0.795484\pi$
$888$	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	−0.412714	−	0.910861i	$-0.635419\pi$
$907$	4.89677	−	2.23628i	0.00539887	−	0.00246558i	0.418113	+	0.908395i	$0.362692\pi$
$908$	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	−0.0292371	−	0.999573i	$-0.509308\pi$
$911$	−308.740	−	44.3901i	−0.338902	−	0.0487268i	−0.309665	+	0.950846i	$0.600217\pi$
$912$	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	$0.122565\pi$
$919$			690.362i			0.751210i	−0.926780	+	0.375605i	$0.877435\pi$
$920$	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	0.955821	+	0.293950i	$0.0949698\pi$
$929$	−40.9668	+	284.930i	−0.0440977	+	0.306706i	−0.999919	+	0.0127567i	$0.995939\pi$
$930$	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	0.238767	+	0.971077i	$0.423257\pi$
$937$	−696.887	+	1084.38i	−0.743743	+	1.15729i	−0.982510	+	0.186210i	$0.940380\pi$
$938$	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	−0.929831	−	0.367988i	$-0.880047\pi$
$941$	−326.110	−	1110.63i	−0.346557	−	1.18026i	0.583274	−	0.812276i	$-0.301771\pi$
$942$			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	−0.814651	−	0.579951i	$-0.803072\pi$
$947$	−592.374	+	380.696i	−0.625527	+	0.402002i	0.189124	+	0.981953i	$0.439435\pi$
$948$	−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	−0.601596	−	0.798800i	$-0.705468\pi$
$953$	−373.448	+	170.548i	−0.391865	+	0.178959i	0.209731	+	0.977759i	$0.432741\pi$
$954$	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	0.00902286	−	0.999959i	$-0.497128\pi$
$971$	290.719	−	41.7990i	0.299401	−	0.0430474i	0.290378	+	0.956912i	$0.406219\pi$
$972$	−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	0.703962	+	0.710237i	$0.251412\pi$
$977$	−265.970	+	905.812i	−0.272232	+	0.927136i	−0.976194	+	0.216899i	$0.930406\pi$
$978$	−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	−0.322554	−	0.946551i	$-0.604541\pi$
$983$	661.021	−	1028.57i	0.672453	−	1.04636i	0.995007	−	0.0998059i	$-0.0318222\pi$
$984$	−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	−0.0447693	−	0.998997i	$-0.514255\pi$
$991$	453.548	−	133.174i	0.457667	−	0.134383i	0.502436	+	0.864614i	$0.332437\pi$
$992$	−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	−0.738285	−	0.674488i	$-0.764364\pi$
$997$	34.3033	−	39.5881i	0.0344065	−	0.0397072i	0.772692	+	0.634781i	$0.218910\pi$
$998$	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.14.2	yes	30
3.2	odd	2		207.3.j.a.37.2		30
4.3	odd	2		368.3.p.a.129.1		30
23.5	odd	22	inner	23.3.d.a.5.2	✓	30
23.8	even	11		529.3.b.b.528.21		30
23.15	odd	22		529.3.b.b.528.22		30
69.5	even	22		207.3.j.a.28.2		30
92.51	even	22		368.3.p.a.97.1		30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
23.3.d.a.5.2	✓	30	23.5	odd	22	inner
23.3.d.a.14.2	yes	30	1.1	even	1	trivial
207.3.j.a.28.2		30	69.5	even	22
207.3.j.a.37.2		30	3.2	odd	2
368.3.p.a.97.1		30	92.51	even	22
368.3.p.a.129.1		30	4.3	odd	2
529.3.b.b.528.21		30	23.8	even	11
529.3.b.b.528.22		30	23.15	odd	22

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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

\(f(q)\)	\(=\)	\(q+(-1.80062 + 0.528710i) q^{2} +(2.35762 + 2.72084i) q^{3} +(-0.402313 + 0.258551i) q^{4} +(5.05070 - 0.726181i) q^{5} +(-5.68372 - 3.65270i) q^{6} +(-8.85488 - 4.04389i) q^{7} +(5.50346 - 6.35133i) q^{8} +(-0.563759 + 3.92103i) q^{9} +O(q^{10})\)	\(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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