LMFDB - Embedded newform 108.3.j.a.7.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [108,3,Mod(7,108)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(108, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 16]))

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

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

chi := DirichletCharacter("108.7");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 108 = 2^{2} \cdot 3^{3} $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	108.j (of order $18$, degree $6$, 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:	$2.94278685509$
Analytic rank:	$0$
Dimension:	$204$
Relative dimension:	$34$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			7.18
Character	$\chi$	$=$	108.7
Dual form			108.3.j.a.31.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.210380 - 1.98890i) q^{2} +(1.64282 - 2.51021i) q^{3} +(-3.91148 - 0.836851i) q^{4} +(-0.133306 - 0.756014i) q^{5} +(-4.64695 - 3.79550i) q^{6} +(3.08121 - 3.67204i) q^{7} +(-2.48731 + 7.60350i) q^{8} +(-3.60231 - 8.24763i) q^{9} +O(q^{10})$	\(q+(0.210380 - 1.98890i) q^{2} +(1.64282 - 2.51021i) q^{3} +(-3.91148 - 0.836851i) q^{4} +(-0.133306 - 0.756014i) q^{5} +(-4.64695 - 3.79550i) q^{6} +(3.08121 - 3.67204i) q^{7} +(-2.48731 + 7.60350i) q^{8} +(-3.60231 - 8.24763i) q^{9} +(-1.53168 + 0.106082i) q^{10} +(-7.79262 - 1.37405i) q^{11} +(-8.52652 + 8.44384i) q^{12} +(7.52188 + 2.73774i) q^{13} +(-6.65511 - 6.90075i) q^{14} +(-2.11675 - 0.907367i) q^{15} +(14.5994 + 6.54666i) q^{16} +(6.81117 + 11.7973i) q^{17} +(-17.1616 + 5.42951i) q^{18} +(11.9343 + 6.89025i) q^{19} +(-0.111249 + 3.06869i) q^{20} +(-4.15573 - 13.7670i) q^{21} +(-4.37226 + 15.2097i) q^{22} +(-22.4825 - 26.7936i) q^{23} +(15.0002 + 18.7348i) q^{24} +(22.9385 - 8.34894i) q^{25} +(7.02756 - 14.3843i) q^{26} +(-26.6212 - 4.50678i) q^{27} +(-15.1250 + 11.7846i) q^{28} +(38.1507 - 13.8857i) q^{29} +(-2.24999 + 4.01912i) q^{30} +(14.9912 + 17.8658i) q^{31} +(16.0921 - 27.6594i) q^{32} +(-16.2510 + 17.3038i) q^{33} +(24.8966 - 11.0648i) q^{34} +(-3.18685 - 1.83993i) q^{35} +(7.18832 + 35.2750i) q^{36} +(-1.05245 - 1.82290i) q^{37} +(16.2148 - 22.2865i) q^{38} +(19.2294 - 14.3839i) q^{39} +(6.07993 + 0.866854i) q^{40} +(14.0090 + 5.09885i) q^{41} +(-28.2555 + 5.36906i) q^{42} +(57.3675 + 10.1154i) q^{43} +(29.3308 + 11.8958i) q^{44} +(-5.75511 + 3.82285i) q^{45} +(-58.0198 + 39.0787i) q^{46} +(-49.8023 + 59.3520i) q^{47} +(40.4175 - 25.8925i) q^{48} +(4.51872 + 25.6270i) q^{49} +(-11.7794 - 47.3790i) q^{50} +(40.8032 + 2.28331i) q^{51} +(-27.1306 - 17.0033i) q^{52} -43.6318 q^{53} +(-14.5641 + 51.9989i) q^{54} +6.07450i q^{55} +(20.2564 + 32.5615i) q^{56} +(36.9018 - 18.6381i) q^{57} +(-19.5912 - 78.7993i) q^{58} +(43.0425 - 7.58956i) q^{59} +(7.52030 + 5.32055i) q^{60} +(-66.2578 - 55.5969i) q^{61} +(38.6873 - 26.0575i) q^{62} +(-41.3851 - 12.1848i) q^{63} +(-51.6265 - 37.8246i) q^{64} +(1.06706 - 6.05160i) q^{65} +(30.9967 + 35.9621i) q^{66} +(-14.0519 + 38.6072i) q^{67} +(-16.7692 - 51.8448i) q^{68} +(-104.192 + 12.4188i) q^{69} +(-4.32990 + 5.95126i) q^{70} +(-74.9269 + 43.2591i) q^{71} +(71.6709 - 6.87573i) q^{72} +(-42.9421 + 74.3779i) q^{73} +(-3.84699 + 1.70973i) q^{74} +(16.7262 - 71.2963i) q^{75} +(-40.9145 - 36.9383i) q^{76} +(-29.0562 + 24.3811i) q^{77} +(-24.5627 - 41.2715i) q^{78} +(7.58889 + 20.8503i) q^{79} +(3.00319 - 11.9100i) q^{80} +(-55.0467 + 59.4210i) q^{81} +(13.0883 - 26.7898i) q^{82} +(-7.46796 - 20.5180i) q^{83} +(4.73417 + 57.3269i) q^{84} +(8.01094 - 6.72198i) q^{85} +(32.1876 - 111.970i) q^{86} +(27.8185 - 118.578i) q^{87} +(29.8303 - 55.8335i) q^{88} +(-66.5965 + 115.349i) q^{89} +(6.39252 + 12.2506i) q^{90} +(33.2296 - 19.1851i) q^{91} +(65.5176 + 123.617i) q^{92} +(69.4748 - 8.28082i) q^{93} +(107.568 + 111.538i) q^{94} +(3.61822 - 9.94098i) q^{95} +(-42.9947 - 85.8339i) q^{96} +(28.3954 - 161.038i) q^{97} +(51.9202 - 3.59591i) q^{98} +(16.7388 + 69.2204i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9}+O(q^{10}) $ 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9	$ 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9} - 3 q^{10} + 39 q^{12} - 12 q^{13} + 39 q^{14} - 6 q^{16} - 6 q^{17} - 27 q^{18} - 69 q^{20} - 12 q^{21} - 6 q^{22} - 138 q^{24} - 12 q^{25} - 174 q^{26} - 12 q^{28} + 60 q^{29} - 153 q^{30} - 96 q^{32} + 48 q^{33} + 6 q^{34} + 24 q^{36} - 6 q^{37} + 72 q^{38} + 69 q^{40} - 192 q^{41} - 126 q^{42} - 219 q^{44} - 132 q^{45} - 3 q^{46} - 219 q^{48} - 12 q^{49} - 165 q^{50} + 21 q^{52} - 24 q^{53} + 78 q^{54} + 99 q^{56} - 150 q^{57} - 141 q^{58} + 210 q^{60} - 12 q^{61} + 294 q^{62} - 3 q^{64} - 156 q^{65} + 393 q^{66} + 375 q^{68} - 60 q^{69} - 165 q^{70} + 228 q^{72} - 6 q^{73} + 447 q^{74} - 54 q^{76} + 132 q^{77} + 750 q^{78} + 798 q^{80} + 228 q^{81} - 12 q^{82} + 762 q^{84} + 138 q^{85} + 606 q^{86} - 198 q^{88} - 114 q^{89} + 894 q^{90} + 723 q^{92} - 1020 q^{93} - 357 q^{94} + 474 q^{96} + 168 q^{97} + 510 q^{98}+O(q^{100}) $ 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9 - 3 * q^10 + 39 * q^12 - 12 * q^13 + 39 * q^14 - 6 * q^16 - 6 * q^17 - 27 * q^18 - 69 * q^20 - 12 * q^21 - 6 * q^22 - 138 * q^24 - 12 * q^25 - 174 * q^26 - 12 * q^28 + 60 * q^29 - 153 * q^30 - 96 * q^32 + 48 * q^33 + 6 * q^34 + 24 * q^36 - 6 * q^37 + 72 * q^38 + 69 * q^40 - 192 * q^41 - 126 * q^42 - 219 * q^44 - 132 * q^45 - 3 * q^46 - 219 * q^48 - 12 * q^49 - 165 * q^50 + 21 * q^52 - 24 * q^53 + 78 * q^54 + 99 * q^56 - 150 * q^57 - 141 * q^58 + 210 * q^60 - 12 * q^61 + 294 * q^62 - 3 * q^64 - 156 * q^65 + 393 * q^66 + 375 * q^68 - 60 * q^69 - 165 * q^70 + 228 * q^72 - 6 * q^73 + 447 * q^74 - 54 * q^76 + 132 * q^77 + 750 * q^78 + 798 * q^80 + 228 * q^81 - 12 * q^82 + 762 * q^84 + 138 * q^85 + 606 * q^86 - 198 * q^88 - 114 * q^89 + 894 * q^90 + 723 * q^92 - 1020 * q^93 - 357 * q^94 + 474 * q^96 + 168 * q^97 + 510 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/108\mathbb{Z}\right)^\times$.

$n$	$29$	$55$
$\chi(n)$	$e\left(\frac{8}{9}\right)$	$-1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.210380	−	1.98890i	0.105190	−	0.994452i
$2$	0.210380	−	1.98890i	0.105190	−	0.994452i
$3$	1.64282	−	2.51021i	0.547605	−	0.836737i
$3$	1.64282	−	2.51021i	0.547605	−	0.836737i
$4$	−3.91148	−	0.836851i	−0.977870	−	0.209213i
$5$	−0.133306	−	0.756014i	−0.0266611	−	0.151203i	0.968571	−	0.248737i	$-0.0800155\pi$
$5$	−0.133306	−	0.756014i	−0.0266611	−	0.151203i	−0.995232	+	0.0975344i	$0.968904\pi$
$6$	−4.64695	−	3.79550i	−0.774492	−	0.632584i
$7$	3.08121	−	3.67204i	0.440172	−	0.524577i	−0.499656	−	0.866224i	$-0.666540\pi$
$7$	3.08121	−	3.67204i	0.440172	−	0.524577i	0.939828	+	0.341647i	$0.110985\pi$
$8$	−2.48731	+	7.60350i	−0.310914	+	0.950438i
$9$	−3.60231	−	8.24763i	−0.400257	−	0.916403i
$10$	−1.53168	+	0.106082i	−0.153168	+	0.0106082i
$11$	−7.79262	−	1.37405i	−0.708420	−	0.124914i	−0.192183	−	0.981359i	$-0.561557\pi$
$11$	−7.79262	−	1.37405i	−0.708420	−	0.124914i	−0.516237	+	0.856446i	$0.672668\pi$
$12$	−8.52652	+	8.44384i	−0.710543	+	0.703654i
$13$	7.52188	+	2.73774i	0.578606	+	0.210595i	0.614711	−	0.788753i	$-0.289273\pi$
$13$	7.52188	+	2.73774i	0.578606	+	0.210595i	−0.0361046	+	0.999348i	$0.511495\pi$
$14$	−6.65511	−	6.90075i	−0.475365	−	0.492911i
$15$	−2.11675	−	0.907367i	−0.141117	−	0.0604911i
$16$	14.5994	+	6.54666i	0.912460	+	0.409166i
$17$	6.81117	+	11.7973i	0.400657	+	0.693958i	0.993805	−	0.111135i	$-0.0354486\pi$
$17$	6.81117	+	11.7973i	0.400657	+	0.693958i	−0.593149	+	0.805093i	$0.702115\pi$
$18$	−17.1616	+	5.42951i	−0.953422	+	0.301640i
$19$	11.9343	+	6.89025i	0.628119	+	0.362645i	0.780023	−	0.625750i	$-0.215207\pi$
$19$	11.9343	+	6.89025i	0.628119	+	0.362645i	−0.151904	+	0.988395i	$0.548541\pi$
$20$	−0.111249	+	3.06869i	−0.00556244	+	0.153435i
$21$	−4.15573	−	13.7670i	−0.197892	−	0.655570i
$22$	−4.37226	+	15.2097i	−0.198739	+	0.691350i
$23$	−22.4825	−	26.7936i	−0.977500	−	1.16494i	−0.986297	−	0.164978i	$-0.947245\pi$
$23$	−22.4825	−	26.7936i	−0.977500	−	1.16494i	0.00879696	−	0.999961i	$-0.497200\pi$
$24$	15.0002	+	18.7348i	0.625008	+	0.780618i
$25$	22.9385	−	8.34894i	0.917541	−	0.333958i
$26$	7.02756	−	14.3843i	0.270291	−	0.553244i
$27$	−26.6212	−	4.50678i	−0.985971	−	0.166918i
$28$	−15.1250	+	11.7846i	−0.540180	+	0.420878i
$29$	38.1507	−	13.8857i	1.31554	−	0.478817i	0.413513	−	0.910498i	$-0.364302\pi$
$29$	38.1507	−	13.8857i	1.31554	−	0.478817i	0.902026	+	0.431681i	$0.142079\pi$
$30$	−2.24999	+	4.01912i	−0.0749996	+	0.133971i
$31$	14.9912	+	17.8658i	0.483588	+	0.576317i	0.951575	−	0.307418i	$-0.0994650\pi$
$31$	14.9912	+	17.8658i	0.483588	+	0.576317i	−0.467987	+	0.883735i	$0.655021\pi$
$32$	16.0921	−	27.6594i	0.502878	−	0.864358i
$33$	−16.2510	+	17.3038i	−0.492454	+	0.524358i
$34$	24.8966	−	11.0648i	0.732253	−	0.325437i
$35$	−3.18685	−	1.83993i	−0.0910530	−	0.0525695i
$36$	7.18832	+	35.2750i	0.199676	+	0.979862i
$37$	−1.05245	−	1.82290i	−0.0284447	−	0.0492676i	0.851453	−	0.524431i	$-0.175722\pi$
$37$	−1.05245	−	1.82290i	−0.0284447	−	0.0492676i	−0.879897	+	0.475164i	$0.842389\pi$
$38$	16.2148	−	22.2865i	0.426705	−	0.586488i
$39$	19.2294	−	14.3839i	0.493061	−	0.368818i
$40$	6.07993	+	0.866854i	0.151998	+	0.0216714i
$41$	14.0090	+	5.09885i	0.341683	+	0.124362i	0.507161	−	0.861851i	$-0.330695\pi$
$41$	14.0090	+	5.09885i	0.341683	+	0.124362i	−0.165479	+	0.986213i	$0.552917\pi$
$42$	−28.2555	+	5.36906i	−0.672749	+	0.127835i
$43$	57.3675	+	10.1154i	1.33413	+	0.235243i	0.794809	−	0.606860i	$-0.207571\pi$
$43$	57.3675	+	10.1154i	1.33413	+	0.235243i	0.539318	+	0.842102i	$0.318682\pi$
$44$	29.3308	+	11.8958i	0.666609	+	0.270360i
$45$	−5.75511	+	3.82285i	−0.127891	+	0.0849522i
$46$	−58.0198	+	39.0787i	−1.26130	+	0.849537i
$47$	−49.8023	+	59.3520i	−1.05962	+	1.26281i	−0.0960456	+	0.995377i	$0.530619\pi$
$47$	−49.8023	+	59.3520i	−1.05962	+	1.26281i	−0.963577	+	0.267432i	$0.913825\pi$
$48$	40.4175	−	25.8925i	0.842032	−	0.539427i
$49$	4.51872	+	25.6270i	0.0922189	+	0.522999i
$50$	−11.7794	−	47.3790i	−0.235589	−	0.947580i
$51$	40.8032	+	2.28331i	0.800062	+	0.0447709i
$52$	−27.1306	−	17.0033i	−0.521742	−	0.326987i
$53$	−43.6318			−0.823241			−0.411620	−	0.911355i	$-0.635037\pi$
$53$	−43.6318			−0.823241			−0.411620	+	0.911355i	$0.635037\pi$
$54$	−14.5641	+	51.9989i	−0.269706	+	0.962943i
$55$			6.07450i			0.110445i
$56$	20.2564	+	32.5615i	0.361722	+	0.581455i
$57$	36.9018	−	18.6381i	0.647400	−	0.326984i
$58$	−19.5912	−	78.7993i	−0.337779	−	1.35861i
$59$	43.0425	−	7.58956i	0.729534	−	0.128637i	0.203470	−	0.979081i	$-0.434778\pi$
$59$	43.0425	−	7.58956i	0.729534	−	0.128637i	0.526065	+	0.850445i	$0.323667\pi$
$60$	7.52030	+	5.32055i	0.125338	+	0.0886759i
$61$	−66.2578	−	55.5969i	−1.08619	−	0.911425i	−0.0897734	−	0.995962i	$-0.528614\pi$
$61$	−66.2578	−	55.5969i	−1.08619	−	0.911425i	−0.996420	+	0.0845375i	$0.973059\pi$
$62$	38.6873	−	26.0575i	0.623989	−	0.420282i
$63$	−41.3851	−	12.1848i	−0.656906	−	0.193410i
$64$	−51.6265	−	37.8246i	−0.806665	−	0.591010i
$65$	1.06706	−	6.05160i	0.0164163	−	0.0931016i
$66$	30.9967	+	35.9621i	0.469647	+	0.544880i
$67$	−14.0519	+	38.6072i	−0.209730	+	0.576227i	−0.999299	−	0.0374339i	$-0.988082\pi$
$67$	−14.0519	+	38.6072i	−0.209730	+	0.576227i	0.789570	+	0.613661i	$0.210304\pi$
$68$	−16.7692	−	51.8448i	−0.246605	−	0.762423i
$69$	−104.192	+	12.4188i	−1.51003	+	0.179983i
$70$	−4.32990	+	5.95126i	−0.0618557	+	0.0850181i
$71$	−74.9269	+	43.2591i	−1.05531	+	0.609283i	−0.924131	−	0.382076i	$-0.875209\pi$
$71$	−74.9269	+	43.2591i	−1.05531	+	0.609283i	−0.131178	+	0.991359i	$0.541876\pi$
$72$	71.6709	−	6.87573i	0.995430	−	0.0954962i
$73$	−42.9421	+	74.3779i	−0.588248	+	1.01888i	0.406214	+	0.913778i	$0.366849\pi$
$73$	−42.9421	+	74.3779i	−0.588248	+	1.01888i	−0.994462	+	0.105097i	$0.966485\pi$
$74$	−3.84699	+	1.70973i	−0.0519864	+	0.0231044i
$75$	16.7262	−	71.2963i	0.223016	−	0.950617i
$76$	−40.9145	−	36.9383i	−0.538349	−	0.486030i
$77$	−29.0562	+	24.3811i	−0.377354	+	0.316637i
$78$	−24.5627	−	41.2715i	−0.314907	−	0.529121i
$79$	7.58889	+	20.8503i	0.0960619	+	0.263928i	0.978411	−	0.206667i	$-0.0662616\pi$
$79$	7.58889	+	20.8503i	0.0960619	+	0.263928i	−0.882349	+	0.470595i	$0.844039\pi$
$80$	3.00319	−	11.9100i	0.0375398	−	0.148875i
$81$	−55.0467	+	59.4210i	−0.679589	+	0.733593i
$82$	13.0883	−	26.7898i	0.159614	−	0.326705i
$83$	−7.46796	−	20.5180i	−0.0899754	−	0.247205i	0.886540	−	0.462651i	$-0.153102\pi$
$83$	−7.46796	−	20.5180i	−0.0899754	−	0.247205i	−0.976516	+	0.215446i	$0.930880\pi$
$84$	4.73417	+	57.3269i	0.0563592	+	0.682463i
$85$	8.01094	−	6.72198i	0.0942464	−	0.0790821i
$86$	32.1876	−	111.970i	0.374274	−	1.30198i
$87$	27.8185	−	118.578i	0.319753	−	1.36296i
$88$	29.8303	−	55.8335i	0.338981	−	0.634472i
$89$	−66.5965	+	115.349i	−0.748275	+	1.29605i	0.200373	+	0.979720i	$0.435784\pi$
$89$	−66.5965	+	115.349i	−0.748275	+	1.29605i	−0.948649	+	0.316331i	$0.897549\pi$
$90$	6.39252	+	12.2506i	0.0710280	+	0.136118i
$91$	33.2296	−	19.1851i	0.365160	−	0.210825i
$92$	65.5176	+	123.617i	0.712148	+	1.34367i
$93$	69.4748	−	8.28082i	0.747041	−	0.0890411i
$94$	107.568	+	111.538i	1.14434	+	1.18658i
$95$	3.61822	−	9.94098i	0.0380865	−	0.104642i
$96$	−42.9947	−	85.8339i	−0.447861	−	0.894103i
$97$	28.3954	−	161.038i	0.292736	−	1.66019i	−0.383529	−	0.923529i	$-0.625291\pi$
$97$	28.3954	−	161.038i	0.292736	−	1.66019i	0.676265	−	0.736659i	$-0.263598\pi$
$98$	51.9202	−	3.59591i	0.529798	−	0.0366930i
$99$	16.7388	+	69.2204i	0.169079	+	0.699196i
$100$	−96.7104	+	13.4606i	−0.967104	+	0.134606i
$101$	−20.6121	−	17.2956i	−0.204081	−	0.171244i	0.535019	−	0.844840i	$-0.320304\pi$
$101$	−20.6121	−	17.2956i	−0.204081	−	0.171244i	−0.739100	+	0.673596i	$0.764749\pi$
$102$	13.1255	−	80.6732i	0.128681	−	0.790914i
$103$	−47.0573	+	8.29747i	−0.456867	+	0.0805580i	−0.397346	−	0.917669i	$-0.630069\pi$
$103$	−47.0573	+	8.29747i	−0.456867	+	0.0805580i	−0.0595214	+	0.998227i	$0.518957\pi$
$104$	−39.5257	+	50.3830i	−0.380055	+	0.484452i
$105$	−9.85403	+	4.97701i	−0.0938479	+	0.0474000i
$106$	−9.17925	+	86.7794i	−0.0865967	+	0.818673i
$107$			61.2748i			0.572661i	0.958131	+	0.286331i	$0.0924356\pi$
$107$			61.2748i			0.572661i	−0.958131	+	0.286331i	$0.907564\pi$
$108$	100.357	+	39.9062i	0.929230	+	0.369502i
$109$	193.438			1.77466			0.887331	−	0.461133i	$-0.152557\pi$
$109$	193.438			1.77466			0.887331	+	0.461133i	$0.152557\pi$
$110$	12.0816	+	1.27795i	0.109833	+	0.0116178i
$111$	−6.30485	−	0.352815i	−0.0568005	−	0.00317851i
$112$	69.0232	−	33.4378i	0.616279	−	0.298552i
$113$	13.4483	+	76.2690i	0.119011	+	0.674947i	0.984686	+	0.174339i	$0.0557790\pi$
$113$	13.4483	+	76.2690i	0.119011	+	0.674947i	−0.865674	+	0.500608i	$0.833110\pi$
$114$	−29.3060	−	77.3152i	−0.257070	−	0.678203i
$115$	−17.2593	+	20.5688i	−0.150081	+	0.178859i
$116$	−160.846	+	22.3872i	−1.38660	+	0.192993i
$117$	−4.51628	−	71.8999i	−0.0386007	−	0.614529i
$118$	−6.03962	−	87.2042i	−0.0511832	−	0.739018i
$119$	64.3067	+	11.3390i	0.540392	+	0.0952858i
$120$	12.1642	−	13.8378i	0.101368	−	0.115315i
$121$	−54.8659	−	19.9695i	−0.453437	−	0.165038i
$122$	−124.516	+	120.084i	−1.02063	+	0.984295i
$123$	35.8134	−	26.7890i	0.291166	−	0.217797i
$124$	−43.6868	−	82.4273i	−0.352313	−	0.664736i
$125$	−18.9657	−	32.8496i	−0.151726	−	0.262797i
$126$	−32.9410	+	79.7475i	−0.261437	+	0.632917i
$127$	−134.077	−	77.4091i	−1.05572	−	0.609521i	−0.131475	−	0.991319i	$-0.541971\pi$
$127$	−134.077	−	77.4091i	−1.05572	−	0.609521i	−0.924246	+	0.381799i	$0.875305\pi$
$128$	−86.0907	+	94.7227i	−0.672584	+	0.740021i
$129$	119.636	−	127.387i	0.927411	−	0.987493i
$130$	−11.8116	−	3.39542i	−0.0908582	−	0.0261186i
$131$	56.4836	+	67.3145i	0.431173	+	0.513851i	0.937260	−	0.348631i	$-0.113353\pi$
$131$	56.4836	+	67.3145i	0.431173	+	0.513851i	−0.506088	+	0.862482i	$0.668909\pi$
$132$	78.0462	−	54.0838i	0.591259	−	0.409726i
$133$	62.0732	−	22.5928i	0.466716	−	0.169871i
$134$	73.8298	+	36.0700i	0.550969	+	0.269179i
$135$	0.141567	+	20.7268i	0.00104864	+	0.153532i
$136$	−106.642	+	22.4452i	−0.784134	+	0.165038i
$137$	247.706	−	90.1577i	1.80807	−	0.658085i	0.810717	−	0.585438i	$-0.199077\pi$
$137$	247.706	−	90.1577i	1.80807	−	0.658085i	0.997358	−	0.0726476i	$-0.0231448\pi$
$138$	2.77993	+	209.841i	0.0201444	+	1.52059i
$139$	142.549	+	169.883i	1.02553	+	1.22218i	0.974710	+	0.223475i	$0.0717401\pi$
$139$	142.549	+	169.883i	1.02553	+	1.22218i	0.0508232	+	0.998708i	$0.483816\pi$
$140$	10.9256	+	9.86378i	0.0780398	+	0.0704556i
$141$	67.1701	+	222.519i	0.476384	+	1.57815i
$142$	70.2750	+	158.123i	0.494895	+	1.11354i
$143$	−54.8534	−	31.6696i	−0.383590	−	0.221466i
$144$	1.40297	−	143.993i	0.00974283	−	0.999953i
$145$	−15.5835	−	26.9914i	−0.107472	−	0.186147i
$146$	138.896	+	101.055i	0.951345	+	0.692160i
$147$	71.7525	+	30.7574i	0.488112	+	0.209234i
$148$	2.59115	+	8.01099i	0.0175078	+	0.0541283i
$149$	0.892365	+	0.324794i	0.00598903	+	0.00217983i	0.345013	−	0.938598i	$-0.387875\pi$
$149$	0.892365	+	0.324794i	0.00598903	+	0.00217983i	−0.339024	+	0.940778i	$0.610097\pi$
$150$	−138.283	−	48.2661i	−0.921884	−	0.321774i
$151$	−219.805	−	38.7576i	−1.45566	−	0.256673i	−0.610855	−	0.791743i	$-0.709174\pi$
$151$	−219.805	−	38.7576i	−1.45566	−	0.256673i	−0.844808	+	0.535070i	$0.820285\pi$
$152$	−82.0743	+	73.6040i	−0.539963	+	0.484237i
$153$	72.7637	−	98.6734i	0.475580	−	0.644924i
$154$	42.3788	+	62.9194i	0.275187	+	0.408567i
$155$	11.5084	−	13.7152i	0.0742478	−	0.0884851i
$156$	−87.2525	+	40.1702i	−0.559311	+	0.257501i
$157$	32.0271	+	181.635i	0.203994	+	1.15691i	0.899014	+	0.437919i	$0.144284\pi$
$157$	32.0271	+	181.635i	0.203994	+	1.15691i	−0.695020	+	0.718990i	$0.744604\pi$
$158$	43.0658	−	10.7071i	0.272569	−	0.0677664i
$159$	−71.6790	+	109.525i	−0.450811	+	0.688836i
$160$	−23.0561	−	8.47868i	−0.144101	−	0.0529917i
$161$	−167.660			−1.04137
$162$	106.602	+	121.984i	0.658037	+	0.752986i
$163$		−	210.034i		−	1.28855i	−0.764793	−	0.644276i	$-0.777159\pi$
$163$		−	210.034i		−	1.28855i	0.764793	−	0.644276i	$-0.222841\pi$
$164$	−50.5289	−	31.6675i	−0.308103	−	0.193095i
$165$	15.2483	+	9.97928i	0.0924137	+	0.0604805i
$166$	−42.3795	+	10.5365i	−0.255298	+	0.0634727i
$167$	129.841	−	22.8945i	0.777493	−	0.137093i	0.229200	−	0.973379i	$-0.426389\pi$
$167$	129.841	−	22.8945i	0.777493	−	0.137093i	0.548293	+	0.836286i	$0.315278\pi$
$168$	115.014	+	2.64463i	0.684606	+	0.0157418i
$169$	−80.3780	−	67.4452i	−0.475610	−	0.399084i
$170$	−11.6840	−	17.3472i	−0.0687296	−	0.102042i
$171$	13.8373	−	123.250i	0.0809199	−	0.720761i
$172$	−215.927	−	87.5743i	−1.25539	−	0.509153i
$173$	35.2162	−	199.721i	0.203562	−	1.15446i	−0.696125	−	0.717921i	$-0.745094\pi$
$173$	35.2162	−	199.721i	0.203562	−	1.15446i	0.899687	−	0.436536i	$-0.143795\pi$
$174$	−229.987	−	80.2747i	−1.32177	−	0.461349i
$175$	40.0207	−	109.956i	0.228690	−	0.628320i
$176$	−104.772	−	71.0758i	−0.595295	−	0.403840i
$177$	51.6596	−	120.514i	0.291862	−	0.680870i
$178$	215.407	+	156.721i	1.21015	+	0.880456i
$179$	59.8299	−	34.5428i	0.334245	−	0.192976i	−0.323479	−	0.946235i	$-0.604853\pi$
$179$	59.8299	−	34.5428i	0.334245	−	0.192976i	0.657724	+	0.753259i	$0.271519\pi$
$180$	25.7102	−	10.1368i	0.142834	−	0.0563157i
$181$	−44.8622	+	77.7036i	−0.247858	+	0.429302i	−0.962931	−	0.269747i	$-0.913060\pi$
$181$	−44.8622	+	77.7036i	−0.247858	+	0.429302i	0.715074	+	0.699049i	$0.246393\pi$
$182$	−31.1665	−	70.1266i	−0.171244	−	0.385311i
$183$	−248.409	+	74.9855i	−1.35743	+	0.409757i
$184$	259.646	−	104.302i	1.41112	−	0.566857i
$185$	−1.23784	+	1.03867i	−0.00669103	+	0.00561444i
$186$	−1.85364	−	139.921i	−0.00996582	−	0.752263i
$187$	−36.8668	−	101.291i	−0.197149	−	0.541661i
$188$	244.469	−	190.477i	1.30037	−	1.01318i
$189$	−98.5745	+	83.8678i	−0.521558	+	0.443745i
$190$	−19.0104	−	9.28767i	−0.100055	−	0.0488825i
$191$	−101.142	−	277.887i	−0.529542	−	1.45490i	−0.859612	−	0.510947i	$-0.829295\pi$
$191$	−101.142	−	277.887i	−0.529542	−	1.45490i	0.330071	−	0.943956i	$-0.392927\pi$
$192$	−179.761	+	67.4546i	−0.936253	+	0.351326i
$193$	−238.508	+	200.132i	−1.23579	+	1.03695i	−0.237949	+	0.971278i	$0.576475\pi$
$193$	−238.508	+	200.132i	−1.23579	+	1.03695i	−0.997841	+	0.0656734i	$0.979080\pi$
$194$	−314.316	−	90.3549i	−1.62018	−	0.465747i
$195$	−13.4378	−	12.6202i	−0.0689118	−	0.0647191i
$196$	3.77105	−	104.021i	0.0192401	−	0.530719i
$197$	72.0482	−	124.791i	0.365727	−	0.633457i	−0.623166	−	0.782090i	$-0.714154\pi$
$197$	72.0482	−	124.791i	0.365727	−	0.633457i	0.988892	+	0.148633i	$0.0474872\pi$
$198$	141.194	−	18.7293i	0.713102	−	0.0945922i
$199$	168.765	−	97.4366i	0.848066	−	0.489631i	−0.0119320	−	0.999929i	$-0.503798\pi$
$199$	168.765	−	97.4366i	0.848066	−	0.489631i	0.859998	+	0.510298i	$0.170465\pi$
$200$	6.42587	+	195.180i	0.0321294	+	0.975898i
$201$	73.8276	+	98.6977i	0.367301	+	0.491034i
$202$	−38.7358	+	37.3569i	−0.191761	+	0.184935i
$203$	66.5612	−	182.875i	0.327888	−	0.900864i
$204$	−157.690	−	43.0773i	−0.772990	−	0.211163i
$205$	1.98733	−	11.2707i	0.00969428	−	0.0549790i
$206$	6.60296	+	95.3381i	0.0320532	+	0.462806i
$207$	−139.995	+	281.946i	−0.676303	+	1.36206i
$208$	91.8916	+	89.2124i	0.441787	+	0.428906i
$209$	−83.5316	−	70.0914i	−0.399673	−	0.335365i
$210$	7.82570	+	20.6458i	0.0372652	+	0.0983133i
$211$	−114.338	+	20.1608i	−0.541884	+	0.0955488i	−0.437889	−	0.899029i	$-0.644274\pi$
$211$	−114.338	+	20.1608i	−0.541884	+	0.0955488i	−0.103995	+	0.994578i	$0.533163\pi$
$212$	170.665	+	36.5133i	0.805022	+	0.172233i
$213$	−14.5018	+	259.149i	−0.0680835	+	1.21666i
$214$	121.870	+	12.8910i	0.569484	+	0.0602382i
$215$		−	44.7190i		−	0.207996i
$216$	100.483	−	191.205i	0.465198	−	0.885207i
$217$	111.795			0.515185
$218$	40.6955	−	384.730i	0.186677	−	1.76482i
$219$	116.158	+	229.983i	0.530403	+	1.05015i
$220$	5.08345	−	23.7603i	0.0231066	−	0.108001i
$221$	18.9349	+	107.385i	0.0856781	+	0.485905i
$222$	−2.02813	+	12.4655i	−0.00913572	+	0.0561510i
$223$	−95.4717	+	113.779i	−0.428124	+	0.510219i	−0.936380	−	0.350987i	$-0.885846\pi$
$223$	−95.4717	+	113.779i	−0.428124	+	0.510219i	0.508256	+	0.861206i	$0.330290\pi$
$224$	−51.9835	−	144.315i	−0.232069	−	0.644264i
$225$	−151.491	−	159.113i	−0.673292	−	0.707169i
$226$	154.521	−	10.7019i	0.683721	−	0.0473534i
$227$	163.627	+	28.8519i	0.720826	+	0.127101i	0.522014	−	0.852937i	$-0.325181\pi$
$227$	163.627	+	28.8519i	0.720826	+	0.127101i	0.198812	+	0.980038i	$0.436292\pi$
$228$	−159.938	+	42.0212i	−0.701482	+	0.184304i
$229$	−218.671	−	79.5896i	−0.954894	−	0.347553i	−0.182863	−	0.983138i	$-0.558537\pi$
$229$	−218.671	−	79.5896i	−0.954894	−	0.347553i	−0.772031	+	0.635585i	$0.780759\pi$
$230$	37.2784	+	38.6543i	0.162080	+	0.168062i
$231$	13.4676	+	112.991i	0.0583012	+	0.489138i
$232$	10.6873	+	324.617i	0.0460660	+	1.39921i
$233$	−102.146	−	176.922i	−0.438394	−	0.759320i	0.559172	−	0.829052i	$-0.311119\pi$
$233$	−102.146	−	176.922i	−0.438394	−	0.759320i	−0.997566	+	0.0697314i	$0.977786\pi$
$234$	−143.952	−	6.14385i	−0.615180	−	0.0262558i
$235$	51.5099	+	29.7392i	0.219191	+	0.126550i
$236$	−174.711	−	6.33379i	−0.740302	−	0.0268381i
$237$	64.8058	+	15.2035i	0.273442	+	0.0641499i
$238$	36.0810	−	125.514i	0.151601	−	0.527371i
$239$	59.1551	+	70.4983i	0.247511	+	0.294972i	0.875468	−	0.483276i	$-0.160553\pi$
$239$	59.1551	+	70.4983i	0.247511	+	0.294972i	−0.627957	+	0.778248i	$0.716109\pi$
$240$	−24.9630	−	27.1046i	−0.104012	−	0.112936i
$241$	−194.954	+	70.9574i	−0.808938	+	0.294429i	−0.713185	−	0.700976i	$-0.752748\pi$
$241$	−194.954	+	70.9574i	−0.808938	+	0.294429i	−0.0957527	+	0.995405i	$0.530526\pi$
$242$	−51.2602	+	104.922i	−0.211819	+	0.433561i
$243$	58.7276	+	235.797i	0.241677	+	0.970357i
$244$	212.640	+	272.914i	0.871475	+	1.11850i
$245$	18.7720	−	6.83244i	0.0766203	−	0.0278875i
$246$	−45.7464	−	76.8653i	−0.185961	−	0.312460i
$247$	70.9044	+	84.5006i	0.287062	+	0.342108i
$248$	−173.131	+	69.5478i	−0.698108	+	0.280435i
$249$	−63.7731	−	14.9612i	−0.256117	−	0.0600853i
$250$	−69.3247	+	30.8101i	−0.277299	+	0.123240i
$251$	269.842	+	155.793i	1.07507	+	0.620690i	0.929561	−	0.368667i	$-0.120186\pi$
$251$	269.842	+	155.793i	1.07507	+	0.620690i	0.145505	+	0.989357i	$0.453519\pi$
$252$	151.680	+	82.2939i	0.601905	+	0.326563i
$253$	138.382	+	239.684i	0.546964	+	0.947370i
$254$	−182.166	+	250.380i	−0.717191	+	0.985749i
$255$	−3.71307	−	31.1521i	−0.0145611	−	0.122165i
$256$	170.283	+	191.154i	0.665166	+	0.746695i
$257$	281.815	+	102.572i	1.09656	+	0.399114i	0.826046	−	0.563603i	$-0.190585\pi$
$257$	281.815	+	102.572i	1.09656	+	0.399114i	0.270511	+	0.962717i	$0.412808\pi$
$258$	−228.191	−	264.744i	−0.884460	−	1.02614i
$259$	−9.93659	−	1.75209i	−0.0383652	−	0.00676482i
$260$	−9.23808	+	22.7778i	−0.0355311	+	0.0876067i
$261$	−251.955	−	264.632i	−0.965343	−	1.01391i
$262$	145.765	−	98.1788i	0.556356	−	0.374728i
$263$	−126.004	+	150.166i	−0.479102	+	0.570972i	−0.950411	−	0.310996i	$-0.899337\pi$
$263$	−126.004	+	150.166i	−0.479102	+	0.570972i	0.471309	+	0.881968i	$0.343782\pi$
$264$	−91.1482	−	166.605i	−0.345258	−	0.631078i
$265$	5.81636	+	32.9862i	0.0219485	+	0.124476i
$266$	−31.8759	−	128.211i	−0.119834	−	0.481995i
$267$	180.143	+	356.668i	0.674694	+	1.33583i
$268$	87.2722	−	139.252i	0.325642	−	0.519597i
$269$	−110.390			−0.410372			−0.205186	−	0.978723i	$-0.565780\pi$
$269$	−110.390			−0.410372			−0.205186	+	0.978723i	$0.565780\pi$
$270$	41.2534	+	4.07894i	0.152790	+	0.0151072i
$271$			157.984i			0.582967i	0.956576	+	0.291484i	$0.0941489\pi$
$271$			157.984i			0.582967i	−0.956576	+	0.291484i	$0.905851\pi$
$272$	22.2059	+	216.823i	0.0816393	+	0.797144i
$273$	6.43144	−	114.931i	0.0235584	−	0.420992i
$274$	−127.203	−	511.631i	−0.464243	−	1.86727i
$275$	−190.223	+	33.5415i	−0.691720	+	0.121969i
$276$	417.939	+	38.6173i	1.51427	+	0.139918i
$277$	133.295	+	111.848i	0.481210	+	0.403783i	0.850864	−	0.525386i	$-0.176079\pi$
$277$	133.295	+	111.848i	0.481210	+	0.403783i	−0.369654	+	0.929170i	$0.620524\pi$
$278$	367.871	−	247.776i	1.32328	−	0.891282i
$279$	93.3478	−	188.000i	0.334580	−	0.673836i
$280$	21.9166	−	19.6548i	0.0782737	−	0.0701956i
$281$	−64.5172	+	365.895i	−0.229599	+	1.30212i	0.624098	+	0.781346i	$0.285467\pi$
$281$	−64.5172	+	365.895i	−0.229599	+	1.30212i	−0.853696	+	0.520772i	$0.825644\pi$
$282$	456.699	−	86.7814i	1.61950	−	0.307735i
$283$	142.624	−	391.857i	0.503973	−	1.38465i	−0.383392	−	0.923586i	$-0.625244\pi$
$283$	142.624	−	391.857i	0.503973	−	1.38465i	0.887365	−	0.461068i	$-0.152534\pi$
$284$	329.277	−	106.504i	1.15942	−	0.375015i
$285$	−19.0099	−	25.4137i	−0.0667013	−	0.0891708i
$286$	−74.5279	+	102.435i	−0.260587	+	0.358166i
$287$	61.8878	−	35.7309i	0.215637	−	0.124498i
$288$	−286.093	−	33.0836i	−0.993380	−	0.114874i
$289$	51.7160	−	89.5748i	0.178948	−	0.309947i
$290$	−56.9617	+	25.3156i	−0.196420	+	0.0872952i
$291$	−357.591	−	335.835i	−1.22884	−	1.15407i
$292$	230.210	−	254.992i	0.788392	−	0.873259i
$293$	33.9075	−	28.4518i	0.115725	−	0.0971050i	−0.583089	−	0.812408i	$-0.698156\pi$
$293$	33.9075	−	28.4518i	0.115725	−	0.0971050i	0.698814	+	0.715304i	$0.253712\pi$
$294$	76.2689	−	136.238i	0.259418	−	0.463395i
$295$	−11.4756	−	31.5290i	−0.0389004	−	0.106878i
$296$	16.4782	−	3.46820i	0.0556697	−	0.0117169i
$297$	201.256	+	71.6985i	0.677631	+	0.241409i
$298$	0.833720	−	1.70650i	0.00279772	−	0.00572650i
$299$	−95.7568	−	263.090i	−0.320257	−	0.879898i
$300$	−125.089	+	264.877i	−0.416962	+	0.882923i
$301$	213.905	−	179.488i	0.710649	−	0.596305i
$302$	−123.328	+	429.017i	−0.408370	+	1.42059i
$303$	−77.2777	+	23.3272i	−0.255042	+	0.0769876i
$304$	129.125	+	178.723i	0.424752	+	0.587904i
$305$	−33.1995	+	57.5032i	−0.108851	+	0.188535i
$306$	−180.944	−	165.479i	−0.591320	−	0.540781i
$307$	−279.865	+	161.580i	−0.911612	+	0.526320i	−0.880950	−	0.473210i	$-0.843095\pi$
$307$	−279.865	+	161.580i	−0.911612	+	0.526320i	−0.0306628	+	0.999530i	$0.509762\pi$
$308$	134.056	−	71.0504i	0.435248	−	0.230683i
$309$	−56.4781	+	131.755i	−0.182777	+	0.426391i
$310$	−24.8571	−	25.7745i	−0.0801841	−	0.0831436i
$311$	1.32044	−	3.62789i	0.00424580	−	0.0116652i	−0.937552	−	0.347846i	$-0.886913\pi$
$311$	1.32044	−	3.62789i	0.00424580	−	0.0116652i	0.941797	+	0.336181i	$0.109135\pi$
$312$	61.5385	+	181.988i	0.197239	+	0.583294i
$313$	−5.20268	+	29.5059i	−0.0166220	+	0.0942679i	−0.991990	−	0.126315i	$-0.959685\pi$
$313$	−5.20268	+	29.5059i	−0.0166220	+	0.0942679i	0.975368	+	0.220583i	$0.0707960\pi$
$314$	367.992	−	25.4865i	1.17195	−	0.0811673i
$315$	−3.69503	+	32.9120i	−0.0117303	+	0.104483i
$316$	−12.2352	−	87.9064i	−0.0387190	−	0.278185i
$317$	−429.901	−	360.730i	−1.35615	−	1.13795i	−0.977150	−	0.212553i	$-0.931822\pi$
$317$	−429.901	−	360.730i	−1.35615	−	1.13795i	−0.379004	−	0.925395i	$-0.623733\pi$
$318$	202.755	+	165.604i	0.637593	+	0.520769i
$319$	−316.373	+	55.7851i	−0.991766	+	0.174875i
$320$	−21.7138	+	44.0726i	−0.0678557	+	0.137727i
$321$	153.813	+	100.663i	0.479167	+	0.313592i
$322$	−35.2724	+	333.461i	−0.109542	+	1.03559i
$323$			187.723i			0.581184i
$324$	265.041	−	186.358i	0.818027	−	0.575180i
$325$	195.398			0.601225
$326$	−417.737	−	44.1869i	−1.28140	−	0.135543i
$327$	317.783	−	485.570i	0.971814	−	1.48492i
$328$	−73.6139	+	93.8349i	−0.224433	+	0.286082i
$329$	64.4919	+	365.752i	0.196024	+	1.11171i
$330$	23.0558	−	28.2279i	0.0698660	−	0.0855391i
$331$	90.3131	−	107.631i	0.272849	−	0.325169i	−0.612168	−	0.790728i	$-0.709702\pi$
$331$	90.3131	−	107.631i	0.272849	−	0.325169i	0.885017	+	0.465559i	$0.154147\pi$
$332$	12.0402	+	86.5055i	0.0362657	+	0.260559i
$333$	−11.2434	+	15.2469i	−0.0337638	+	0.0457865i
$334$	−18.2190	−	263.059i	−0.0545479	−	0.787601i
$335$	31.0608	+	5.47685i	0.0927188	+	0.0163488i
$336$	29.4565	−	228.195i	0.0876682	−	0.679152i
$337$	−398.458	−	145.027i	−1.18237	−	0.430346i	−0.325330	−	0.945601i	$-0.605475\pi$
$337$	−398.458	−	145.027i	−1.18237	−	0.430346i	−0.857037	+	0.515254i	$0.827697\pi$
$338$	−151.052	+	145.675i	−0.446899	+	0.430991i
$339$	213.544	+	91.5380i	0.629924	+	0.270024i
$340$	−36.9599	+	19.5889i	−0.108706	+	0.0576145i
$341$	−92.2724	−	159.820i	−0.270593	−	0.468682i
$342$	−242.222	−	53.4505i	−0.708251	−	0.156288i
$343$	311.440	+	179.810i	0.907988	+	0.524227i
$344$	−219.604	+	411.033i	−0.638383	+	1.19486i
$345$	23.2782	+	77.1152i	0.0674731	+	0.223522i
$346$	−389.817	−	112.059i	−1.12664	−	0.323870i
$347$	−73.0006	−	86.9988i	−0.210376	−	0.250717i	0.650530	−	0.759481i	$-0.274547\pi$
$347$	−73.0006	−	86.9988i	−0.210376	−	0.250717i	−0.860906	+	0.508764i	$0.830103\pi$
$348$	−208.043	+	440.535i	−0.597826	+	1.26590i
$349$	94.6615	−	34.4540i	0.271236	−	0.0987220i	−0.202821	−	0.979216i	$-0.565011\pi$
$349$	94.6615	−	34.4540i	0.271236	−	0.0987220i	0.474058	+	0.880494i	$0.342789\pi$
$350$	−210.272	−	102.730i	−0.600778	−	0.293514i
$351$	−187.903	−	106.781i	−0.535337	−	0.304221i
$352$	−163.405	+	193.428i	−0.464219	+	0.549512i
$353$	−24.4299	+	8.89174i	−0.0692064	+	0.0251891i	−0.376391	−	0.926461i	$-0.622835\pi$
$353$	−24.4299	+	8.89174i	−0.0692064	+	0.0251891i	0.307185	+	0.951650i	$0.400613\pi$
$354$	−228.823	−	128.100i	−0.646392	−	0.361864i
$355$	42.6926	+	50.8791i	0.120261	+	0.143321i
$356$	357.021	−	395.452i	1.00287	−	1.11082i
$357$	134.107	−	142.795i	0.375651	−	0.399987i
$358$	−56.1153	−	126.263i	−0.156747	−	0.352690i
$359$	50.8289	+	29.3461i	0.141585	+	0.0817439i	0.569119	−	0.822255i	$-0.307284\pi$
$359$	50.8289	+	29.3461i	0.141585	+	0.0817439i	−0.427534	+	0.903999i	$0.640618\pi$
$360$	−14.7523	−	53.2676i	−0.0409786	−	0.147966i
$361$	−85.5489	−	148.175i	−0.236978	−	0.410457i
$362$	145.107	+	105.574i	0.400848	+	0.291641i
$363$	−140.262	+	104.919i	−0.386398	+	0.289032i
$364$	−146.032	+	47.2339i	−0.401186	+	0.129764i
$365$	61.9551	+	22.5498i	0.169740	+	0.0617803i
$366$	96.8787	+	509.838i	0.264696	+	1.39300i
$367$	−107.710	−	18.9921i	−0.293487	−	0.0517497i	0.0249660	−	0.999688i	$-0.492052\pi$
$367$	−107.710	−	18.9921i	−0.293487	−	0.0517497i	−0.318453	+	0.947939i	$0.603163\pi$
$368$	−152.822	−	538.355i	−0.415276	−	1.46292i
$369$	−8.41125	−	133.909i	−0.0227947	−	0.362896i
$370$	1.80540	+	2.68046i	0.00487946	+	0.00724449i
$371$	−134.438	+	160.218i	−0.362368	+	0.431853i
$372$	−278.679	−	25.7498i	−0.749138	−	0.0692200i
$373$	11.6320	+	65.9686i	0.0311851	+	0.176859i	0.996422	−	0.0845170i	$-0.0269347\pi$
$373$	11.6320	+	65.9686i	0.0311851	+	0.176859i	−0.965237	+	0.261376i	$0.915824\pi$
$374$	−209.213	+	52.0150i	−0.559394	+	0.139077i
$375$	−113.616	−	6.35789i	−0.302977	−	0.0169544i
$376$	−327.409	−	526.299i	−0.870770	−	1.39973i
$377$	324.980			0.862016
$378$	146.067	+	213.699i	0.386420	+	0.565342i
$379$			276.576i			0.729753i	0.931056	+	0.364876i	$0.118889\pi$
$379$			276.576i			0.729753i	−0.931056	+	0.364876i	$0.881111\pi$
$380$	−22.4717	+	35.8560i	−0.0591361	+	0.0943580i
$381$	−414.576	+	209.391i	−1.08813	+	0.549584i
$382$	−573.968	+	142.701i	−1.50253	+	0.373562i
$383$	−39.6849	+	6.99751i	−0.103616	+	0.0182703i	−0.225216	−	0.974309i	$-0.572309\pi$
$383$	−39.6849	+	6.99751i	−0.103616	+	0.0182703i	0.121600	+	0.992579i	$0.461198\pi$
$384$	96.3426	+	371.718i	0.250892	+	0.968015i
$385$	22.3058	+	18.7168i	0.0579371	+	0.0486150i
$386$	347.865	+	516.472i	0.901205	+	1.33801i
$387$	−123.227	−	509.584i	−0.318416	−	1.31676i
$388$	−245.833	+	606.135i	−0.633590	+	1.56220i
$389$	−25.8684	+	146.707i	−0.0664998	+	0.377139i	0.933336	+	0.359005i	$0.116884\pi$
$389$	−25.8684	+	146.707i	−0.0664998	+	0.377139i	−0.999836	+	0.0181346i	$0.994227\pi$
$390$	−27.9274	+	24.0715i	−0.0716088	+	0.0617217i
$391$	162.960	−	447.728i	0.416777	−	1.14508i
$392$	−206.094	−	29.3842i	−0.525750	−	0.0749596i
$393$	261.766	−	31.2003i	0.666071	−	0.0793901i
$394$	−233.040	−	169.550i	−0.591472	−	0.430331i
$395$	14.7515	−	8.51677i	0.0373455	−	0.0215614i
$396$	−7.54626	−	284.762i	−0.0190562	−	0.719096i
$397$	373.378	−	646.710i	0.940499	−	1.62899i	0.175978	−	0.984394i	$-0.443691\pi$
$397$	373.378	−	646.710i	0.940499	−	1.62899i	0.764521	−	0.644598i	$-0.222975\pi$
$398$	−158.287	−	356.156i	−0.397707	−	0.894865i
$399$	45.2622	−	192.933i	0.113439	−	0.483540i
$400$	389.545	+	28.2814i	0.973864	+	0.0707036i
$401$	44.3852	−	37.2436i	0.110686	−	0.0928768i	−0.585765	−	0.810481i	$-0.699206\pi$
$401$	44.3852	−	37.2436i	0.110686	−	0.0928768i	0.696451	+	0.717604i	$0.254761\pi$
$402$	211.832	−	126.072i	0.526946	−	0.313612i
$403$	63.8501	+	175.427i	0.158437	+	0.435302i
$404$	66.1501	+	84.9009i	0.163738	+	0.210151i
$405$	52.2611	+	33.6949i	0.129040	+	0.0831974i
$406$	−349.719	−	170.857i	−0.861376	−	0.420830i
$407$	5.69661	+	15.6513i	0.0139966	+	0.0384553i
$408$	−118.851	+	304.568i	−0.291303	+	0.746489i
$409$	226.059	−	189.686i	0.552712	−	0.463780i	−0.323146	−	0.946349i	$-0.604741\pi$
$409$	226.059	−	189.686i	0.552712	−	0.463780i	0.875858	+	0.482569i	$0.160296\pi$
$410$	−21.9982	−	6.32373i	−0.0536542	−	0.0154237i
$411$	180.621	−	769.907i	0.439467	−	1.87325i
$412$	191.007	+	6.92457i	0.463610	+	0.0168072i
$413$	104.754	−	181.439i	0.253641	−	0.439319i
$414$	531.312	+	337.752i	1.28336	+	0.815826i
$415$	−14.5164	+	8.38105i	−0.0349793	+	0.0201953i
$416$	196.767	−	163.995i	0.472998	−	0.394219i
$417$	660.625	−	78.7410i	1.58423	−	0.188827i
$418$	−156.978	+	151.391i	−0.375546	+	0.362179i
$419$	−150.722	+	414.106i	−0.359719	+	0.988320i	0.619408	+	0.785069i	$0.287373\pi$
$419$	−150.722	+	414.106i	−0.359719	+	0.988320i	−0.979127	+	0.203250i	$0.934849\pi$
$420$	42.7089	−	11.2211i	0.101688	−	0.0267169i
$421$	11.8192	−	67.0301i	0.0280742	−	0.159216i	−0.967548	−	0.252688i	$-0.918685\pi$
$421$	11.8192	−	67.0301i	0.0280742	−	0.159216i	0.995622	+	0.0934717i	$0.0297965\pi$
$422$	16.0436	+	231.648i	0.0380179	+	0.548929i
$423$	668.916	+	196.946i	1.58136	+	0.465594i
$424$	108.526	−	331.754i	0.255957	−	0.782439i
$425$	254.733	+	213.746i	0.599372	+	0.502933i
$426$	512.372	+	83.3624i	1.20275	+	0.195686i
$427$	−408.308	+	71.9957i	−0.956225	+	0.168608i
$428$	51.2779	−	239.675i	0.119808	−	0.559988i
$429$	−169.611	+	85.6661i	−0.395365	+	0.199688i
$430$	−88.9419	−	9.40799i	−0.206842	−	0.0218790i
$431$			53.6108i			0.124387i	0.998064	+	0.0621935i	$0.0198096\pi$
$431$			53.6108i			0.124387i	−0.998064	+	0.0621935i	$0.980190\pi$
$432$	−359.148	−	240.076i	−0.831362	−	0.555732i
$433$	−686.735			−1.58599			−0.792997	−	0.609226i	$-0.791480\pi$
$433$	−686.735			−1.58599			−0.792997	+	0.609226i	$0.791480\pi$
$434$	23.5195	−	222.350i	0.0541923	−	0.512327i
$435$	−93.3548	−	5.22407i	−0.214609	−	0.0120093i
$436$	−756.629	−	161.879i	−1.73539	−	0.371282i
$437$	−83.6975	−	474.672i	−0.191527	−	1.08621i
$438$	481.851	−	182.644i	1.10012	−	0.416995i
$439$	74.5743	−	88.8742i	0.169873	−	0.202447i	−0.674391	−	0.738375i	$-0.735594\pi$
$439$	74.5743	−	88.8742i	0.169873	−	0.202447i	0.844264	+	0.535928i	$0.180038\pi$
$440$	−46.1875	−	15.1092i	−0.104972	−	0.0343391i
$441$	195.084	−	129.585i	0.442367	−	0.293844i
$442$	217.562	−	15.0680i	0.492222	−	0.0340905i
$443$	−126.688	−	22.3386i	−0.285978	−	0.0504257i	0.0288188	−	0.999585i	$-0.490825\pi$
$443$	−126.688	−	22.3386i	−0.285978	−	0.0504257i	−0.314797	+	0.949159i	$0.601937\pi$
$444$	24.3661	+	6.65625i	0.0548785	+	0.0149916i
$445$	96.0828	+	34.9713i	0.215916	+	0.0785871i
$446$	206.210	+	213.821i	0.462354	+	0.479419i
$447$	2.28129	−	1.70645i	0.00510356	−	0.00381755i
$448$	−297.965	+	73.0292i	−0.665101	+	0.163012i
$449$	361.840	+	626.725i	0.805880	+	1.39583i	0.915695	+	0.401873i	$0.131641\pi$
$449$	361.840	+	626.725i	0.805880	+	1.39583i	−0.109815	+	0.993952i	$0.535026\pi$
$450$	−348.331	+	267.826i	−0.774069	+	0.595169i
$451$	−102.161	−	58.9825i	−0.226520	−	0.130782i
$452$	11.2231	−	309.579i	0.0248299	−	0.684909i
$453$	−458.389	+	488.085i	−1.01190	+	1.07745i
$454$	91.8077	−	319.370i	0.202220	−	0.703457i
$455$	−18.9339	−	22.5645i	−0.0416129	−	0.0495924i
$456$	49.9285	+	326.942i	0.109492	+	0.716977i
$457$	49.8588	−	18.1471i	0.109100	−	0.0397092i	−0.286893	−	0.957963i	$-0.592623\pi$
$457$	49.8588	−	18.1471i	0.109100	−	0.0397092i	0.395993	+	0.918253i	$0.370400\pi$
$458$	−204.300	+	418.171i	−0.446070	+	0.913037i
$459$	−128.154	−	344.754i	−0.279202	−	0.751099i
$460$	84.7224	−	66.0111i	0.184179	−	0.143502i
$461$	198.117	−	72.1085i	0.429754	−	0.156418i	−0.118081	−	0.993004i	$-0.537674\pi$
$461$	198.117	−	72.1085i	0.429754	−	0.156418i	0.547835	+	0.836586i	$0.315452\pi$
$462$	227.561	−	3.01468i	0.492557	−	0.00652529i
$463$	407.123	+	485.190i	0.879315	+	1.04793i	0.998483	+	0.0550524i	$0.0175326\pi$
$463$	407.123	+	485.190i	0.879315	+	1.04793i	−0.119169	+	0.992874i	$0.538023\pi$
$464$	647.880	+	47.0368i	1.39629	+	0.101372i
$465$	−15.5218	−	51.4201i	−0.0333802	−	0.110581i
$466$	−373.370	+	165.937i	−0.801222	+	0.356089i
$467$	−254.886	−	147.159i	−0.545795	−	0.315115i	0.201629	−	0.979462i	$-0.435376\pi$
$467$	−254.886	−	147.159i	−0.545795	−	0.315115i	−0.747424	+	0.664347i	$0.768710\pi$
$468$	−42.5042	+	285.014i	−0.0908209	+	0.609005i
$469$	98.4705	+	170.556i	0.209958	+	0.363659i
$470$	69.9851	−	96.1916i	0.148905	−	0.204663i
$471$	508.556	+	217.998i	1.07974	+	0.462840i
$472$	−49.3531	+	346.152i	−0.104562	+	0.733372i
$473$	−433.144	−	157.651i	−0.915737	−	0.333301i
$474$	43.8722	−	125.694i	0.0925574	−	0.265177i
$475$	331.281	+	58.4137i	0.697433	+	0.122976i
$476$	−242.045	−	98.1674i	−0.508499	−	0.206234i
$477$	157.175	+	359.858i	0.329508	+	0.754420i
$478$	152.659	−	102.822i	0.319371	−	0.215110i
$479$	−349.313	+	416.295i	−0.729255	+	0.869092i	−0.995495	−	0.0948146i	$-0.969774\pi$
$479$	−349.313	+	416.295i	−0.729255	+	0.869092i	0.266240	+	0.963907i	$0.414219\pi$
$480$	−59.1602	+	43.9467i	−0.123250	+	0.0915556i
$481$	−2.92579	−	16.5930i	−0.00608273	−	0.0344969i
$482$	100.113	+	402.673i	0.207704	+	0.835421i
$483$	−275.435	+	420.863i	−0.570259	+	0.871352i
$484$	197.895	+	124.025i	0.408875	+	0.256250i
$485$	−125.532			−0.258830
$486$	481.332	−	67.1966i	0.990395	−	0.138265i
$487$		−	168.509i		−	0.346015i	−0.984921	−	0.173007i	$-0.944652\pi$
$487$		−	168.509i		−	0.346015i	0.984921	−	0.173007i	$-0.0553484\pi$
$488$	587.535	−	365.505i	1.20397	−	0.748985i
$489$	−527.229	−	345.047i	−1.07818	−	0.705618i
$490$	−9.63981	−	38.7730i	−0.0196731	−	0.0791287i
$491$	−394.774	+	69.6093i	−0.804021	+	0.141771i	−0.560532	−	0.828133i	$-0.689403\pi$
$491$	−394.774	+	69.6093i	−0.804021	+	0.141771i	−0.243489	+	0.969904i	$0.578292\pi$
$492$	−162.502	+	74.8142i	−0.330288	+	0.152061i
$493$	423.664	+	355.496i	0.859359	+	0.721088i
$494$	182.980	−	123.245i	0.370406	−	0.249483i
$495$	50.1002	−	21.8822i	0.101213	−	0.0442065i
$496$	101.901	+	358.972i	0.205445	+	0.723734i
$497$	−72.0163	+	408.425i	−0.144902	+	0.821780i
$498$	−43.1730	+	123.691i	−0.0866929	+	0.248376i
$499$	−54.0863	+	148.601i	−0.108389	+	0.297797i	−0.982015	−	0.188800i	$-0.939540\pi$
$499$	−54.0863	+	148.601i	−0.108389	+	0.297797i	0.873626	+	0.486598i	$0.161762\pi$
$500$	46.6938	+	144.362i	0.0933876	+	0.288724i
$501$	155.835	−	363.541i	0.311049	−	0.725630i
$502$	366.627	−	503.914i	0.730333	−	1.00381i
$503$	94.5144	−	54.5679i	0.187901	−	0.108485i	−0.403098	−	0.915157i	$-0.632067\pi$
$503$	94.5144	−	54.5679i	0.187901	−	0.108485i	0.591000	+	0.806672i	$0.298733\pi$
$504$	195.585	−	284.364i	0.388066	−	0.564214i
$505$	−10.3280	+	17.8887i	−0.0204515	+	0.0354231i
$506$	505.822	−	224.804i	0.999649	−	0.444276i
$507$	−301.348	+	90.9657i	−0.594375	+	0.179420i
$508$	459.658	+	414.987i	0.904838	+	0.816903i
$509$	−177.370	+	148.831i	−0.348467	+	0.292399i	−0.800174	−	0.599768i	$-0.795260\pi$
$509$	−177.370	+	148.831i	−0.348467	+	0.292399i	0.451707	+	0.892166i	$0.350815\pi$
$510$	−62.7398	+	0.831163i	−0.123019	+	0.00162973i
$511$	140.805	+	386.859i	0.275548	+	0.757062i
$512$	416.011	−	298.461i	0.812521	−	0.582931i
$513$	−286.652	−	237.212i	−0.558775	−	0.462401i
$514$	263.295	−	538.924i	0.512246	−	1.04849i
$515$	12.5460	+	34.4699i	0.0243612	+	0.0669318i
$516$	−574.558	+	398.153i	−1.11348	+	0.771613i
$517$	469.643	−	394.077i	0.908400	−	0.762238i
$518$	−5.57520	+	19.3943i	−0.0107629	+	0.0374408i
$519$	−443.488	−	416.505i	−0.854505	−	0.802515i
$520$	43.3593	+	23.1656i	0.0833832	+	0.0445493i
$521$	−96.0523	+	166.367i	−0.184361	+	0.319323i	−0.943361	−	0.331768i	$-0.892355\pi$
$521$	−96.0523	+	166.367i	−0.184361	+	0.319323i	0.759000	+	0.651091i	$0.225688\pi$
$522$	−579.333	+	445.440i	−1.10983	+	0.853334i
$523$	295.086	−	170.368i	0.564217	−	0.325751i	−0.190619	−	0.981664i	$-0.561050\pi$
$523$	295.086	−	170.368i	0.564217	−	0.325751i	0.754836	+	0.655913i	$0.227716\pi$
$524$	−164.602	−	310.568i	−0.314126	−	0.592687i
$525$	−210.266	−	281.098i	−0.400507	−	0.535425i
$526$	272.156	+	282.202i	0.517408	+	0.536505i
$527$	−108.661	+	298.543i	−0.206187	+	0.566495i
$528$	−350.536	+	146.235i	−0.663894	+	0.276960i
$529$	−120.574	+	683.812i	−0.227929	+	1.29265i
$530$	66.8301	−	4.62854i	0.126094	−	0.00873310i
$531$	−217.648	−	327.659i	−0.409884	−	0.617060i
$532$	−261.705	+	36.4252i	−0.491927	+	0.0684685i
$533$	91.4146	+	76.7059i	0.171509	+	0.143914i
$534$	747.276	−	283.252i	1.39939	−	0.530434i
$535$	46.3246	−	8.16827i	0.0865880	−	0.0152678i
$536$	−258.599	−	202.872i	−0.482460	−	0.378492i
$537$	11.5798	−	206.933i	0.0215639	−	0.385350i
$538$	−23.2239	+	219.555i	−0.0431671	+	0.408096i
$539$		−	205.910i		−	0.382022i
$540$	16.7915	−	81.1909i	0.0310954	−	0.150353i
$541$	−543.807			−1.00519			−0.502595	−	0.864522i	$-0.667621\pi$
$541$	−543.807			−1.00519			−0.502595	+	0.864522i	$0.667621\pi$
$542$	314.215	+	33.2367i	0.579733	+	0.0613223i
$543$	121.352	+	240.266i	0.223484	+	0.442479i
$544$	435.912	+	1.44986i	0.801309	+	0.00266518i
$545$	−25.7864	−	146.242i	−0.0473145	−	0.268334i
$546$	−227.233	−	36.9707i	−0.416178	−	0.0677118i
$547$	−163.630	+	195.007i	−0.299141	+	0.356502i	−0.894588	−	0.446893i	$-0.852531\pi$
$547$	−163.630	+	195.007i	−0.299141	+	0.356502i	0.595447	+	0.803395i	$0.296975\pi$
$548$	−1044.35	+	145.357i	−1.90574	+	0.265250i
$549$	−219.861	+	746.747i	−0.400476	+	1.36020i
$550$	26.6916	+	385.392i	0.0485302	+	0.700713i
$551$	550.976	+	97.1519i	0.999956	+	0.176319i
$552$	164.732	−	823.115i	0.298428	−	1.49115i
$553$	99.9461	+	36.3774i	0.180734	+	0.0657819i
$554$	250.497	−	241.581i	0.452161	−	0.436066i
$555$	0.573739	+	4.81359i	0.00103376	+	0.00867313i
$556$	−415.411	−	783.788i	−0.747142	−	1.40969i
$557$	−104.885	−	181.666i	−0.188303	−	0.326150i	0.756382	−	0.654131i	$-0.226965\pi$
$557$	−104.885	−	181.666i	−0.188303	−	0.326150i	−0.944685	+	0.327980i	$0.893632\pi$
$558$	−354.276	−	225.211i	−0.634903	−	0.403605i
$559$	403.818	+	233.144i	0.722393	+	0.417074i
$560$	−34.4806	−	47.7251i	−0.0615726	−	0.0852233i
$561$	−314.826	−	73.8586i	−0.561187	−	0.131655i
$562$	714.157	+	205.296i	1.27074	+	0.365295i
$563$	−436.787	−	520.543i	−0.775821	−	0.924588i	0.222916	−	0.974838i	$-0.428443\pi$
$563$	−436.787	−	520.543i	−0.775821	−	0.924588i	−0.998737	+	0.0502501i	$0.983998\pi$
$564$	−76.5195	−	926.588i	−0.135673	−	1.64289i
$565$	55.8677	−	20.3342i	0.0988809	−	0.0359897i
$566$	−749.361	−	366.105i	−1.32396	−	0.646829i
$567$	48.5859	+	385.222i	0.0856895	+	0.679404i
$568$	−142.554	−	677.306i	−0.250975	−	1.19244i
$569$	−727.101	+	264.643i	−1.27786	+	0.465102i	−0.889723	−	0.456501i	$-0.849103\pi$
$569$	−727.101	+	264.643i	−1.27786	+	0.465102i	−0.388135	+	0.921603i	$0.626880\pi$
$570$	−54.5447	+	32.4623i	−0.0956924	+	0.0569514i
$571$	706.930	+	842.487i	1.23806	+	1.47546i	0.825377	+	0.564582i	$0.190962\pi$
$571$	706.930	+	842.487i	1.23806	+	1.47546i	0.412679	+	0.910876i	$0.364593\pi$
$572$	188.055	+	169.779i	0.328768	+	0.296817i
$573$	−863.712	−	202.628i	−1.50735	−	0.353626i
$574$	−58.0454	−	130.606i	−0.101124	−	0.227536i
$575$	−739.414	−	426.901i	−1.28594	−	0.742436i
$576$	−125.989	+	562.052i	−0.218730	+	0.975785i
$577$	−26.4305	−	45.7790i	−0.0458068	−	0.0793398i	0.842213	−	0.539145i	$-0.181253\pi$
$577$	−26.4305	−	45.7790i	−0.0458068	−	0.0793398i	−0.888020	+	0.459805i	$0.847919\pi$
$578$	−167.276	−	121.703i	−0.289404	−	0.210559i
$579$	110.548	+	927.483i	0.190930	+	1.60187i
$580$	38.3667	+	118.617i	0.0661495	+	0.204513i
$581$	−98.3534	−	35.7977i	−0.169283	−	0.0616139i
$582$	−743.173	+	640.562i	−1.27693	+	1.10062i
$583$	340.006	+	59.9522i	0.583200	+	0.102834i
$584$	−458.722	−	511.512i	−0.785483	−	0.875876i
$585$	−53.7552	+	12.9990i	−0.0918893	+	0.0222206i
$586$	−49.4544	−	73.4244i	−0.0843931	−	0.125298i
$587$	714.090	−	851.019i	1.21651	−	1.44978i	0.360543	−	0.932743i	$-0.382591\pi$
$587$	714.090	−	851.019i	1.21651	−	1.44978i	0.855965	−	0.517034i	$-0.172964\pi$
$588$	−254.919	−	180.353i	−0.433536	−	0.306723i
$589$	55.8091	+	316.509i	0.0947522	+	0.537367i
$590$	−65.1224	+	16.1908i	−0.110377	+	0.0274421i
$591$	−194.890	−	385.865i	−0.329763	−	0.652901i
$592$	−3.43123	−	33.5032i	−0.00579599	−	0.0565933i
$593$	1059.78			1.78715			0.893575	−	0.448914i	$-0.148189\pi$
$593$	1059.78			1.78715			0.893575	+	0.448914i	$0.148189\pi$
$594$	184.942	−	385.196i	0.311350	−	0.648478i
$595$		−	50.1283i		−	0.0842492i
$596$	−3.21866	−	2.01720i	−0.00540044	−	0.00338457i
$597$	32.6638	−	583.706i	0.0547132	−	0.977732i
$598$	−543.405	+	135.102i	−0.908705	+	0.225924i
$599$	771.927	−	136.112i	1.28869	−	0.227231i	0.513026	−	0.858373i	$-0.328524\pi$
$599$	771.927	−	136.112i	1.28869	−	0.227231i	0.775668	+	0.631142i	$0.217413\pi$
$600$	500.498	+	304.514i	0.834164	+	0.507523i
$601$	−733.365	−	615.367i	−1.22024	−	1.02390i	−0.998812	−	0.0487281i	$-0.984483\pi$
$601$	−733.365	−	615.367i	−1.22024	−	1.02390i	−0.221430	−	0.975176i	$-0.571072\pi$
$602$	−311.983	−	463.198i	−0.518244	−	0.769431i
$603$	369.037	−	23.1805i	0.612002	−	0.0384419i
$604$	827.329	+	335.544i	1.36975	+	0.555536i
$605$	−7.78332	+	44.1414i	−0.0128650	+	0.0729610i
$606$	30.1380	+	158.605i	0.0497327	+	0.261725i
$607$	354.168	−	973.069i	0.583473	−	1.60308i	−0.198729	−	0.980055i	$-0.563681\pi$
$607$	354.168	−	973.069i	0.583473	−	1.60308i	0.782202	−	0.623025i	$-0.214096\pi$
$608$	382.628	−	219.217i	0.629322	−	0.360554i
$609$	−349.708	−	467.513i	−0.574233	−	0.767674i
$610$	107.384	+	78.1281i	0.176039	+	0.128079i
$611$	−537.097	+	310.093i	−0.879046	+	0.507517i
$612$	−367.189	+	325.067i	−0.599982	+	0.531155i
$613$	−366.538	+	634.862i	−0.597941	+	1.03566i	0.395184	+	0.918602i	$0.370681\pi$
$613$	−366.538	+	634.862i	−0.597941	+	1.03566i	−0.993125	+	0.117062i	$0.962652\pi$
$614$	262.489	+	590.618i	0.427507	+	0.961919i
$615$	−25.0270	−	23.5043i	−0.0406943	−	0.0382183i
$616$	−113.110	−	281.573i	−0.183620	−	0.457098i
$617$	−46.7240	+	39.2061i	−0.0757278	+	0.0635431i	−0.679866	−	0.733337i	$-0.737962\pi$
$617$	−46.7240	+	39.2061i	−0.0757278	+	0.0635431i	0.604138	+	0.796880i	$0.293518\pi$
$618$	250.166	+	140.048i	0.404799	+	0.226615i
$619$	−283.250	−	778.223i	−0.457593	−	1.25723i	−0.927272	−	0.374389i	$-0.877852\pi$
$619$	−283.250	−	778.223i	−0.457593	−	1.25723i	0.469678	−	0.882838i	$-0.344370\pi$
$620$	−56.4925	+	44.0159i	−0.0911169	+	0.0709933i
$621$	477.759	+	814.602i	0.769337	+	1.31176i
$622$	−6.93773	−	3.38947i	−0.0111539	−	0.00544931i
$623$	218.367	+	599.958i	0.350508	+	0.963014i
$624$	374.903	−	84.1076i	0.600806	−	0.134788i
$625$	445.185	−	373.555i	0.712296	−	0.597687i
$626$	57.5898	+	16.5551i	0.0919965	+	0.0264458i
$627$	−313.171	+	94.5347i	−0.499476	+	0.150773i
$628$	26.7279	−	737.263i	0.0425603	−	1.17399i
$629$	14.3369	−	24.8322i	0.0227931	−	0.0394788i
$630$	64.6814	+	14.2731i	0.102669	+	0.0226557i
$631$	−273.648	+	157.991i	−0.433673	+	0.250381i	−0.700910	−	0.713250i	$-0.747223\pi$
$631$	−273.648	+	157.991i	−0.433673	+	0.250381i	0.267237	+	0.963631i	$0.413889\pi$
$632$	−177.411	+	5.84089i	−0.280714	+	0.00924192i
$633$	−137.228	+	320.132i	−0.216789	+	0.505737i
$634$	−807.899	+	779.141i	−1.27429	+	1.22893i
$635$	−40.6492	+	111.683i	−0.0640145	+	0.175878i
$636$	372.027	−	368.420i	0.584948	−	0.579276i
$637$	−36.1707	+	205.134i	−0.0567828	+	0.322031i
$638$	44.3927	+	640.972i	0.0695810	+	1.00466i
$639$	626.695	+	462.137i	0.980743	+	0.723219i
$640$	83.0880	+	52.4587i	0.129825	+	0.0819667i
$641$	445.886	+	374.143i	0.695610	+	0.583686i	0.920521	−	0.390693i	$-0.127765\pi$
$641$	445.886	+	374.143i	0.695610	+	0.583686i	−0.224911	+	0.974379i	$0.572209\pi$
$642$	232.568	−	284.741i	0.362256	−	0.443522i
$643$	−884.213	+	155.911i	−1.37514	+	0.242474i	−0.811888	−	0.583814i	$-0.801560\pi$
$643$	−884.213	+	155.911i	−1.37514	+	0.242474i	−0.563249	+	0.826287i	$0.690449\pi$
$644$	655.800	+	140.307i	1.01832	+	0.217868i
$645$	−112.254	−	73.4652i	−0.174037	−	0.113899i
$646$	373.362	+	39.4931i	0.577960	+	0.0611348i
$647$		−	822.404i		−	1.27110i	−0.772058	−	0.635552i	$-0.780773\pi$
$647$		−	822.404i		−	1.27110i	0.772058	−	0.635552i	$-0.219227\pi$
$648$	−314.889	−	566.347i	−0.485940	−	0.873992i
$649$	−345.843			−0.532885
$650$	41.1079	−	388.628i	0.0632429	−	0.597889i
$651$	183.659	−	280.629i	0.282118	−	0.431074i
$652$	−175.767	+	821.544i	−0.269582	+	1.26004i
$653$	−199.644	−	1132.24i	−0.305734	−	1.73390i	−0.620030	−	0.784578i	$-0.712880\pi$
$653$	−199.644	−	1132.24i	−0.305734	−	1.73390i	0.314296	−	0.949325i	$-0.398232\pi$
$654$	−898.898	−	734.195i	−1.37446	−	1.12262i
$655$	43.3611	−	51.6758i	0.0662002	−	0.0788943i
$656$	171.142	+	166.152i	0.260887	+	0.253280i
$657$	768.132	+	86.2382i	1.16915	+	0.131261i
$658$	741.013	−	51.3214i	1.12616	−	0.0779960i
$659$	−354.825	−	62.5652i	−0.538430	−	0.0949397i	−0.102181	−	0.994766i	$-0.532582\pi$
$659$	−354.825	−	62.5652i	−0.538430	−	0.0949397i	−0.436249	+	0.899826i	$0.643693\pi$
$660$	−51.2921	−	51.7943i	−0.0777153	−	0.0784762i
$661$	766.959	+	279.150i	1.16030	+	0.422315i	0.849205	−	0.528063i	$-0.177082\pi$
$661$	766.959	+	279.150i	1.16030	+	0.422315i	0.311097	+	0.950378i	$0.399304\pi$
$662$	−195.068	−	202.267i	−0.294664	−	0.305540i
$663$	300.665	+	128.883i	0.453492	+	0.194394i
$664$	174.584	−	5.74781i	0.262928	−	0.00865634i
$665$	−25.3552	−	43.9164i	−0.0381281	−	0.0660398i
$666$	27.9592	+	25.5696i	0.0419808	+	0.0383928i
$667$	−1229.77	−	710.008i	−1.84373	−	1.06448i
$668$	−527.031	−	19.1064i	−0.788969	−	0.0286024i
$669$	128.766	+	426.572i	0.192476	+	0.637626i
$670$	17.4275	−	60.6247i	0.0260112	−	0.0904846i
$671$	439.929	+	524.287i	0.655632	+	0.781352i
$672$	−447.661	−	106.594i	−0.666162	−	0.158622i
$673$	−218.010	+	79.3492i	−0.323938	+	0.117904i	−0.498870	−	0.866677i	$-0.666252\pi$
$673$	−218.010	+	79.3492i	−0.323938	+	0.117904i	0.174932	+	0.984580i	$0.444029\pi$
$674$	−372.272	+	761.983i	−0.552332	+	1.13054i
$675$	−648.278	+	118.880i	−0.960412	+	0.176118i
$676$	257.956	+	331.075i	0.381591	+	0.489756i
$677$	−115.647	+	42.0921i	−0.170823	+	0.0621744i	−0.426016	−	0.904716i	$-0.640083\pi$
$677$	−115.647	+	42.0921i	−0.170823	+	0.0621744i	0.255193	+	0.966890i	$0.417861\pi$
$678$	226.986	−	405.462i	0.334787	−	0.598026i
$679$	−503.847	−	600.461i	−0.742042	−	0.884331i
$680$	31.1849	+	77.6309i	0.0458601	+	0.114163i
$681$	341.234	−	363.341i	0.501078	−	0.533540i
$682$	−337.280	+	149.898i	−0.494545	+	0.219792i
$683$	293.573	+	169.494i	0.429829	+	0.248162i	0.699274	−	0.714854i	$-0.253507\pi$
$683$	293.573	+	169.494i	0.429829	+	0.248162i	−0.269445	+	0.963016i	$0.586840\pi$
$684$	−157.266	+	470.511i	−0.229922	+	0.687881i
$685$	−101.181	−	175.251i	−0.147710	−	0.255841i
$686$	423.145	−	581.596i	0.616830	−	0.847807i
$687$	−559.023	+	418.158i	−0.813716	+	0.608673i
$688$	771.306	+	523.244i	1.12108	+	0.760529i
$689$	−328.193	−	119.452i	−0.476332	−	0.173371i
$690$	158.272	−	30.0747i	0.229380	−	0.0435865i
$691$	757.805	+	133.621i	1.09668	+	0.193374i	0.692580	−	0.721342i	$-0.256474\pi$
$691$	757.805	+	133.621i	1.09668	+	0.193374i	0.404099	+	0.914715i	$0.367585\pi$
$692$	−304.884	+	751.734i	−0.440584	+	1.08632i
$693$	305.756	+	151.817i	0.441206	+	0.219072i
$694$	−188.390	+	126.888i	−0.271455	+	0.182836i
$695$	109.432	−	130.415i	0.157456	−	0.187648i
$696$	832.413	+	506.458i	1.19600	+	0.727670i
$697$	35.2649	+	199.997i	0.0505952	+	0.286940i
$698$	−48.6108	−	195.521i	−0.0696429	−	0.280116i
$699$	−611.917	−	34.2424i	−0.875418	−	0.0489877i
$700$	−248.557	+	396.599i	−0.355081	+	0.566570i
$701$	118.777			0.169440			0.0847199	−	0.996405i	$-0.473000\pi$
$701$	118.777			0.169440			0.0847199	+	0.996405i	$0.473000\pi$
$702$	−251.909	+	351.257i	−0.358845	+	0.500366i
$703$		−	29.0066i		−	0.0412612i
$704$	350.333	+	365.690i	0.497632	+	0.519446i
$705$	159.273	−	80.4445i	0.225919	−	0.114106i
$706$	12.5453	+	50.4593i	0.0177695	+	0.0714721i
$707$	−127.021	+	22.3971i	−0.179661	+	0.0316791i
$708$	−302.918	+	428.157i	−0.427850	+	0.604741i
$709$	176.615	+	148.198i	0.249104	+	0.209023i	0.758787	−	0.651339i	$-0.225793\pi$
$709$	176.615	+	148.198i	0.249104	+	0.209023i	−0.509682	+	0.860363i	$0.670237\pi$
$710$	110.175	−	74.2076i	0.155177	−	0.104518i
$711$	144.628	−	137.700i	0.203415	−	0.193670i
$712$	−711.407	−	793.275i	−0.999167	−	1.11415i
$713$	141.650	−	803.338i	0.198668	−	1.12670i
$714$	−255.793	−	296.768i	−0.358253	−	0.415642i
$715$	−16.6304	+	45.6916i	−0.0232593	+	0.0639044i
$716$	−262.930	+	85.0447i	−0.367221	+	0.118778i
$717$	274.147	−	32.6760i	0.382352	−	0.0455732i
$718$	69.0599	−	94.9199i	0.0961837	−	0.132200i
$719$	157.002	−	90.6454i	0.218362	−	0.126072i	−0.386829	−	0.922151i	$-0.626430\pi$
$719$	157.002	−	90.6454i	0.218362	−	0.126072i	0.605192	+	0.796080i	$0.293096\pi$
$720$	−109.048	+	18.1344i	−0.151455	+	0.0251867i
$721$	−114.525	+	198.362i	−0.158841	+	0.275121i
$722$	−312.704	+	138.976i	−0.433108	+	0.192487i
$723$	−142.155	+	605.946i	−0.196619	+	0.838099i
$724$	240.504	−	266.393i	0.332188	−	0.367946i
$725$	759.189	−	637.035i	1.04716	−	0.878669i
$726$	179.165	+	301.041i	0.246783	+	0.414657i
$727$	129.850	+	356.761i	0.178611	+	0.490730i	0.996399	−	0.0847899i	$-0.0270219\pi$
$727$	129.850	+	356.761i	0.178611	+	0.490730i	−0.817788	+	0.575520i	$0.804800\pi$
$728$	63.2216	+	300.380i	0.0868428	+	0.412610i
$729$	688.378	+	239.952i	0.944277	+	0.329152i
$730$	57.8836	−	118.479i	0.0792926	−	0.162300i
$731$	271.405	+	745.678i	0.371279	+	1.02008i
$732$	1034.40	−	85.4228i	1.41311	−	0.116698i
$733$	201.798	−	169.329i	0.275305	−	0.231008i	−0.494672	−	0.869079i	$-0.664712\pi$
$733$	201.798	−	169.329i	0.275305	−	0.231008i	0.769977	+	0.638071i	$0.220268\pi$
$734$	−60.4335	+	210.229i	−0.0823345	+	0.286415i
$735$	13.6880	−	58.3460i	0.0186232	−	0.0793823i
$736$	−1102.89	+	190.689i	−1.49849	+	0.259088i
$737$	162.549	−	281.543i	0.220555	−	0.382013i
$738$	−268.101	−	11.4425i	−0.363280	−	0.0155047i
$739$	−515.106	+	297.397i	−0.697032	+	0.402431i	−0.806241	−	0.591587i	$-0.798501\pi$
$739$	−515.106	+	297.397i	−0.697032	+	0.402431i	0.109209	+	0.994019i	$0.465168\pi$
$740$	5.71100	−	3.02686i	0.00771757	−	0.00409035i
$741$	328.597	−	39.1660i	0.443451	−	0.0528556i
$742$	290.374	+	301.092i	0.391340	+	0.405784i
$743$	364.905	−	1002.57i	0.491124	−	1.34935i	−0.408528	−	0.912746i	$-0.633958\pi$
$743$	364.905	−	1002.57i	0.491124	−	1.34935i	0.899652	−	0.436607i	$-0.143820\pi$
$744$	−109.843	+	548.849i	−0.147638	+	0.737701i
$745$	0.126592	−	0.717937i	0.000169922	−	0.000963674i
$746$	133.652	−	9.25655i	0.179159	−	0.0124082i
$747$	−142.323	+	135.505i	−0.190526	+	0.181399i
$748$	59.4385	+	427.048i	0.0794632	+	0.570920i
$749$	225.003	+	188.800i	0.300405	+	0.252070i
$750$	−36.5479	+	224.635i	−0.0487305	+	0.299513i
$751$	−923.903	+	162.909i	−1.23023	+	0.216923i	−0.750724	−	0.660616i	$-0.770295\pi$
$751$	−923.903	+	162.909i	−1.23023	+	0.216923i	−0.479506	+	0.877539i	$0.659184\pi$
$752$	−1115.64	+	540.463i	−1.48356	+	0.718701i
$753$	834.374	−	421.420i	1.10807	−	0.559655i
$754$	68.3693	−	646.354i	0.0906755	−	0.857234i
$755$			171.342i			0.226943i
$756$	455.757	−	245.555i	0.602854	−	0.324808i
$757$	−496.473			−0.655843			−0.327922	−	0.944705i	$-0.606348\pi$
$757$	−496.473			−0.655843			−0.327922	+	0.944705i	$0.606348\pi$
$758$	550.084	+	58.1861i	0.725704	+	0.0767627i
$759$	828.994	+	46.3899i	1.09222	+	0.0611198i
$760$	66.5866	+	52.2375i	0.0876139	+	0.0687335i
$761$	−34.9002	−	197.929i	−0.0458610	−	0.260091i	0.953253	−	0.302173i	$-0.0977120\pi$
$761$	−34.9002	−	197.929i	−0.0458610	−	0.260091i	−0.999114	+	0.0420821i	$0.986601\pi$
$762$	329.241	+	868.604i	0.432075	+	1.13990i
$763$	596.023	−	710.312i	0.781157	−	0.930947i
$764$	163.067	+	1171.59i	0.213438	+	1.53349i
$765$	−84.2983	−	41.8566i	−0.110194	−	0.0547145i
$766$	5.56848	+	80.4015i	0.00726956	+	0.104963i
$767$	344.539	+	60.7515i	0.449203	+	0.0792067i
$768$	759.580	−	113.414i	0.989036	−	0.147675i
$769$	−608.961	−	221.644i	−0.791886	−	0.288223i	−0.0857663	−	0.996315i	$-0.527334\pi$
$769$	−608.961	−	221.644i	−0.791886	−	0.288223i	−0.706120	+	0.708092i	$0.749556\pi$
$770$	41.9186	−	40.4264i	0.0544397	−	0.0525019i
$771$	720.448	−	538.907i	0.934433	−	0.698972i
$772$	1100.40	−	583.215i	1.42539	−	0.755460i
$773$	581.802	+	1007.71i	0.752654	+	1.30364i	0.946532	+	0.322610i	$0.104560\pi$
$773$	581.802	+	1007.71i	0.752654	+	1.30364i	−0.193878	+	0.981026i	$0.562107\pi$
$774$	−1039.44	+	137.880i	−1.34294	+	0.178140i
$775$	493.037	+	284.655i	0.636177	+	0.367297i
$776$	1153.83	+	616.457i	1.48689	+	0.794404i
$777$	−20.7221	+	22.0646i	−0.0266694	+	0.0283971i
$778$	286.344	+	82.3141i	0.368052	+	0.105802i
$779$	132.055	+	157.376i	0.169518	+	0.202024i
$780$	42.0005	+	60.6092i	0.0538468	+	0.0777041i
$781$	643.317	−	234.148i	0.823710	−	0.299806i
$782$	−856.205	−	418.304i	−1.09489	−	0.534916i
$783$	−1078.20	+	197.717i	−1.37701	+	0.252513i
$784$	−101.800	+	403.720i	−0.129847	+	0.514949i
$785$	133.049	−	48.4259i	0.169489	−	0.0616890i
$786$	−6.98411	−	527.191i	−0.00888564	−	0.670727i
$787$	−179.534	−	213.961i	−0.228125	−	0.271869i	0.639825	−	0.768521i	$-0.279007\pi$
$787$	−179.534	−	213.961i	−0.228125	−	0.271869i	−0.867950	+	0.496652i	$0.834563\pi$
$788$	−386.247	+	427.824i	−0.490161	+	0.542924i
$789$	169.946	+	562.991i	0.215394	+	0.713550i
$790$	−13.8356	−	31.1310i	−0.0175135	−	0.0394064i
$791$	321.500	+	185.618i	0.406447	+	0.234662i
$792$	−567.952	−	44.8995i	−0.717111	−	0.0566912i
$793$	−346.173	−	599.590i	−0.436537	−	0.756103i
$794$	−1207.69	−	878.668i	−1.52102	−	1.10664i
$795$	92.3575	+	39.5900i	0.116173	+	0.0497987i
$796$	−741.661	+	239.890i	−0.931735	+	0.301369i
$797$	−1142.08	−	415.682i	−1.43297	−	0.521558i	−0.495188	−	0.868786i	$-0.664901\pi$
$797$	−1142.08	−	415.682i	−1.43297	−	0.521558i	−0.937781	+	0.347228i	$0.887123\pi$
$798$	−374.202	−	130.611i	−0.468925	−	0.163673i
$799$	−1039.40	−	183.275i	−1.30088	−	0.229380i
$800$	138.202	−	768.819i	0.172752	−	0.961024i
$801$	1191.25	+	133.742i	1.48721	+	0.166969i
$802$	−64.7362	−	96.1132i	−0.0807185	−	0.119842i
$803$	436.830	−	520.594i	0.543998	−	0.648312i
$804$	−206.180	−	447.837i	−0.256443	−	0.557011i
$805$	22.3501	+	126.754i	0.0277641	+	0.157458i
$806$	362.340	−	90.0855i	0.449553	−	0.111769i
$807$	−181.351	+	277.102i	−0.224722	+	0.343374i
$808$	182.776	−	113.705i	0.226208	−	0.140724i
$809$	−1111.49			−1.37390			−0.686952	−	0.726703i	$-0.741052\pi$
$809$	−1111.49			−1.37390			−0.686952	+	0.726703i	$0.741052\pi$
$810$	78.0107	−	96.8537i	0.0963095	−	0.119572i
$811$		−	553.768i		−	0.682821i	−0.939914	−	0.341411i	$-0.889095\pi$
$811$		−	553.768i		−	0.682821i	0.939914	−	0.341411i	$-0.110905\pi$
$812$	−413.392	+	659.612i	−0.509104	+	0.812330i
$813$	396.573	+	259.539i	0.487790	+	0.319236i
$814$	32.3274	−	8.03729i	0.0397142	−	0.00987382i
$815$	−158.789	+	27.9987i	−0.194833	+	0.0343542i
$816$	580.752	+	300.459i	0.711706	+	0.368210i
$817$	614.940	+	515.996i	0.752681	+	0.631574i
$818$	−329.709	−	489.516i	−0.403067	−	0.598430i
$819$	−277.935	−	204.954i	−0.339359	−	0.250250i
$820$	−17.2053	+	42.4220i	−0.0209821	+	0.0517341i
$821$	−41.0204	+	232.638i	−0.0499639	+	0.283360i	−0.999545	−	0.0301620i	$-0.990398\pi$
$821$	−41.0204	+	232.638i	−0.0499639	+	0.283360i	0.949581	+	0.313522i	$0.101509\pi$
$822$	−1493.27	−	521.211i	−1.81663	−	0.634077i
$823$	204.440	−	561.693i	0.248408	−	0.682495i	−0.751337	−	0.659918i	$-0.770591\pi$
$823$	204.440	−	561.693i	0.248408	−	0.682495i	0.999745	−	0.0225763i	$-0.00718688\pi$
$824$	53.9564	−	378.439i	0.0654811	−	0.459270i
$825$	−228.305	+	532.602i	−0.276734	+	0.645579i
$826$	−338.826	−	246.516i	−0.410201	−	0.298446i
$827$	888.113	−	512.752i	1.07390	−	0.620015i	0.144654	−	0.989482i	$-0.453793\pi$
$827$	888.113	−	512.752i	1.07390	−	0.620015i	0.929244	+	0.369467i	$0.120460\pi$
$828$	783.534	−	985.672i	0.946297	−	1.19043i
$829$	11.4162	−	19.7735i	0.0137711	−	0.0238522i	−0.859058	−	0.511879i	$-0.828950\pi$
$829$	11.4162	−	19.7735i	0.0137711	−	0.0238522i	0.872829	+	0.488026i	$0.162283\pi$
$830$	13.6151	+	30.6349i	0.0164038	+	0.0369096i
$831$	499.741	−	150.853i	0.601373	−	0.181532i
$832$	−284.775	−	425.852i	−0.342277	−	0.511842i
$833$	−271.551	+	227.858i	−0.325991	+	0.273539i
$834$	−17.6260	−	1330.49i	−0.0211343	−	1.59531i
$835$	−34.6172	−	95.1099i	−0.0414577	−	0.113904i
$836$	268.076	+	344.065i	0.320665	+	0.411561i
$837$	−318.567	−	543.173i	−0.380606	−	0.648952i
$838$	791.908	+	386.892i	0.944998	+	0.461685i
$839$	217.276	+	596.961i	0.258970	+	0.711515i	0.999232	+	0.0391958i	$0.0124796\pi$
$839$	217.276	+	596.961i	0.258970	+	0.711515i	−0.740261	+	0.672319i	$0.765298\pi$
$840$	−13.3326	−	87.3045i	−0.0158721	−	0.103934i
$841$	618.416	−	518.913i	0.735334	−	0.617019i
$842$	−130.830	−	37.6091i	−0.155380	−	0.0446664i
$843$	812.484	+	763.050i	0.963801	+	0.905160i
$844$	464.101	+	16.8250i	0.549882	+	0.0199348i
$845$	−40.2746	+	69.7577i	−0.0476623	+	0.0825535i
$846$	532.434	−	1288.98i	0.629354	−	1.52361i
$847$	−242.382	+	139.939i	−0.286165	+	0.165218i
$848$	−636.996	−	285.642i	−0.751174	−	0.336842i
$849$	−749.338	−	1001.77i	−0.882612	−	1.17994i
$850$	478.712	−	461.672i	0.563190	−	0.543143i
$851$	−25.1803	+	69.1824i	−0.0295891	+	0.0812954i
$852$	273.593	−	1001.52i	0.321118	−	1.17549i
$853$	13.1002	−	74.2950i	0.0153578	−	0.0870984i	−0.976165	−	0.217028i	$-0.930364\pi$
$853$	13.1002	−	74.2950i	0.0153578	−	0.0870984i	0.991523	+	0.129929i	$0.0414750\pi$
$854$	57.2928	+	827.232i	0.0670875	+	0.968656i
$855$	−95.0234	+	5.96875i	−0.111139	+	0.00698099i
$856$	−465.903	−	152.410i	−0.544279	−	0.178049i
$857$	−186.048	−	156.113i	−0.217093	−	0.182162i	0.527756	−	0.849396i	$-0.323034\pi$
$857$	−186.048	−	156.113i	−0.217093	−	0.182162i	−0.744848	+	0.667234i	$0.767478\pi$
$858$	134.699	+	355.363i	0.156992	+	0.414176i
$859$	−832.750	+	146.836i	−0.969442	+	0.170939i	−0.635879	−	0.771789i	$-0.719362\pi$
$859$	−832.750	+	146.836i	−0.969442	+	0.170939i	−0.333563	+	0.942728i	$0.608251\pi$
$860$	−37.4232	+	174.918i	−0.0435153	+	0.203393i
$861$	11.9781	−	214.051i	0.0139119	−	0.248607i
$862$	106.627	+	11.2786i	0.123697	+	0.0130843i
$863$		−	411.636i		−	0.476983i	−0.971145	−	0.238491i	$-0.923347\pi$
$863$		−	411.636i		−	0.476983i	0.971145	−	0.238491i	$-0.0766529\pi$
$864$	−553.046	+	663.804i	−0.640099	+	0.768292i
$865$	−155.686			−0.179984
$866$	−144.475	+	1365.85i	−0.166831	+	1.57719i
$867$	−139.892	−	276.973i	−0.161351	−	0.319462i
$868$	−437.284	−	93.5559i	−0.503784	−	0.107783i
$869$	−30.4880	−	172.906i	−0.0350840	−	0.198971i
$870$	−30.0302	+	184.575i	−0.0345174	+	0.212155i
$871$	−211.393	+	251.928i	−0.242702	+	0.289241i
$872$	−481.141	+	1470.81i	−0.551768	+	1.68671i
$873$	−1430.47	+	345.915i	−1.63857	+	0.396237i
$874$	−961.686	+	66.6048i	−1.10033	+	0.0762069i
$875$	−179.062	−	31.5735i	−0.204642	−	0.0360840i
$876$	−261.889	−	996.781i	−0.298960	−	1.13788i
$877$	−107.037	−	38.9581i	−0.122049	−	0.0444221i	0.280274	−	0.959920i	$-0.409575\pi$
$877$	−107.037	−	38.9581i	−0.122049	−	0.0444221i	−0.402322	+	0.915498i	$0.631797\pi$
$878$	−161.073	−	167.018i	−0.183455	−	0.190226i
$879$	−15.7161	−	131.856i	−0.0178795	−	0.150007i
$880$	−39.7676	+	88.6838i	−0.0451905	+	0.100777i
$881$	238.369	+	412.868i	0.270567	+	0.468635i	0.969007	−	0.247033i	$-0.0794556\pi$
$881$	238.369	+	412.868i	0.270567	+	0.468635i	−0.698440	+	0.715668i	$0.746122\pi$
$882$	−216.690	−	415.265i	−0.245681	−	0.470822i
$883$	−554.004	−	319.854i	−0.627411	−	0.362236i	0.152338	−	0.988328i	$-0.451320\pi$
$883$	−554.004	−	319.854i	−0.627411	−	0.362236i	−0.779749	+	0.626093i	$0.784653\pi$
$884$	15.8019	−	435.880i	0.0178754	−	0.493077i
$885$	−97.9968	−	22.9902i	−0.110731	−	0.0259776i
$886$	−71.0820	+	247.272i	−0.0802280	+	0.279088i
$887$	106.718	+	127.182i	0.120314	+	0.143384i	0.822839	−	0.568274i	$-0.192389\pi$
$887$	106.718	+	127.182i	0.120314	+	0.143384i	−0.702525	+	0.711659i	$0.747944\pi$
$888$	18.3648	−	47.0614i	0.0206811	−	0.0529971i
$889$	−697.367	+	253.821i	−0.784440	+	0.285513i
$890$	89.7684	−	183.742i	0.100863	−	0.206452i
$891$	510.606	−	387.409i	0.573070	−	0.434802i
$892$	468.652	−	365.148i	0.525394	−	0.409359i
$893$	−1003.30	+	365.173i	−1.12352	+	0.408928i
$894$	−2.91402	−	4.89628i	−0.00325953	−	0.00547682i
$895$	−34.0905	−	40.6274i	−0.0380899	−	0.0453938i
$896$	82.5621	+	607.989i	0.0921452	+	0.678559i
$897$	−817.721	−	191.838i	−0.911618	−	0.213866i
$898$	1322.62	−	587.815i	1.47285	−	0.654582i
$899$	820.005	+	473.430i	0.912130	+	0.526618i
$900$	459.399	+	749.142i	0.510443	+	0.832381i
$901$	−297.183	−	514.736i	−0.329837	−	0.571294i
$902$	−138.803	+	190.779i	−0.153884	+	0.211507i
$903$	−99.1451	−	831.813i	−0.109795	−	0.921166i
$904$	−613.362	−	87.4510i	−0.678498	−	0.0967378i
$905$	64.7254	+	23.5581i	0.0715198	+	0.0260311i
$906$	874.319	+	1014.38i	0.965032	+	1.11962i
$907$	75.7474	+	13.3563i	0.0835142	+	0.0147258i	0.215249	−	0.976559i	$-0.430944\pi$
$907$	75.7474	+	13.3563i	0.0835142	+	0.0147258i	−0.131735	+	0.991285i	$0.542055\pi$
$908$	−615.881	−	249.786i	−0.678283	−	0.275094i
$909$	−68.3967	+	232.306i	−0.0752439	+	0.255562i
$910$	−48.8620	+	32.9106i	−0.0536945	+	0.0361654i
$911$	−913.726	+	1088.94i	−1.00299	+	1.19532i	−0.0223018	+	0.999751i	$0.507099\pi$
$911$	−913.726	+	1088.94i	−1.00299	+	1.19532i	−0.980690	+	0.195568i	$0.937345\pi$
$912$	660.759	−	30.5210i	0.724517	−	0.0334660i
$913$	30.0022	+	170.151i	0.0328611	+	0.186364i
$914$	−25.6036	−	102.982i	−0.0280127	−	0.112672i
$915$	89.8045	+	177.805i	0.0981470	+	0.194322i
$916$	788.722	+	494.308i	0.861050	+	0.539638i
$917$	421.219			0.459345
$918$	−712.645	+	182.356i	−0.776301	+	0.198645i
$919$			1228.21i			1.33646i	0.743955	+	0.668229i	$0.232948\pi$
$919$			1228.21i			1.33646i	−0.743955	+	0.668229i	$0.767052\pi$
$920$	−113.466	−	182.392i	−0.123332	−	0.198252i
$921$	−54.1667	+	967.966i	−0.0588129	+	1.05100i
$922$	−101.737	−	409.205i	−0.110344	−	0.443823i
$923$	−682.023	+	120.259i	−0.738920	+	0.130292i
$924$	41.8784	−	453.232i	0.0453230	−	0.490511i
$925$	−39.3610	−	33.0278i	−0.0425524	−	0.0357057i
$926$	1050.65	−	707.654i	1.13461	−	0.764205i
$927$	237.949	+	358.221i	0.256688	+	0.386430i
$928$	229.853	−	1278.68i	0.247686	−	1.37788i
$929$	−36.4353	+	206.635i	−0.0392200	+	0.222427i	−0.998118	−	0.0613236i	$-0.980468\pi$
$929$	−36.4353	+	206.635i	−0.0392200	+	0.222427i	0.958898	+	0.283751i	$0.0915789\pi$
$930$	−105.535	+	20.0536i	−0.113479	+	0.0215630i
$931$	−122.649	+	336.974i	−0.131738	+	0.361948i
$932$	251.484	+	777.506i	0.269833	+	0.834234i
$933$	−6.93751	−	9.27454i	−0.00743571	−	0.00994056i
$934$	−346.307	+	475.985i	−0.370779	+	0.509620i
$935$	−71.6626	+	41.3744i	−0.0766445	+	0.0442507i
$936$	557.924	+	144.498i	0.596073	+	0.154378i
$937$	−227.457	+	393.966i	−0.242750	+	0.420455i	−0.961497	−	0.274817i	$-0.911383\pi$
$937$	−227.457	+	393.966i	−0.242750	+	0.420455i	0.718747	+	0.695272i	$0.244716\pi$
$938$	359.936	−	159.967i	0.383727	−	0.170540i
$939$	65.5189	+	61.5325i	0.0697751	+	0.0655298i
$940$	−176.593	−	159.431i	−0.187864	−	0.169607i
$941$	−869.171	+	729.321i	−0.923667	+	0.775049i	−0.974670	−	0.223650i	$-0.928203\pi$
$941$	−869.171	+	729.321i	−0.923667	+	0.775049i	0.0510024	+	0.998699i	$0.483758\pi$
$942$	540.567	−	965.607i	0.573850	−	1.02506i
$943$	−178.340	−	489.986i	−0.189120	−	0.519604i
$944$	678.080	+	170.982i	0.718305	+	0.181125i
$945$	76.5458	+	63.3437i	0.0810008	+	0.0670303i
$946$	−404.678	+	828.315i	−0.427778	+	0.875597i
$947$	4.02952	+	11.0710i	0.00425503	+	0.0116906i	0.941802	−	0.336168i	$-0.109131\pi$
$947$	4.02952	+	11.0710i	0.00425503	+	0.0116906i	−0.937547	+	0.347859i	$0.886909\pi$
$948$	−240.764	−	113.701i	−0.253970	−	0.119938i
$949$	−526.633	+	441.897i	−0.554934	+	0.465645i
$950$	185.874	−	646.597i	0.195657	−	0.680628i
$951$	−1611.75	+	486.529i	−1.69480	+	0.511597i
$952$	−246.167	+	460.753i	−0.258579	+	0.483984i
$953$	−67.1825	+	116.364i	−0.0704958	+	0.122102i	−0.899119	−	0.437705i	$-0.855791\pi$
$953$	−67.1825	+	116.364i	−0.0704958	+	0.122102i	0.828623	+	0.559807i	$0.189125\pi$
$954$	748.791	−	236.899i	0.784896	−	0.248322i
$955$	−196.603	+	113.509i	−0.205867	+	0.118858i
$956$	−172.387	−	325.257i	−0.180322	−	0.340227i
$957$	−379.711	+	885.808i	−0.396772	+	0.925609i
$958$	754.483	+	782.330i	0.787560	+	0.816629i
$959$	432.172	−	1187.38i	0.450648	−	1.23815i
$960$	74.9597	+	126.909i	0.0780830	+	0.132197i
$961$	72.4243	−	410.739i	0.0753635	−	0.427408i
$962$	−33.6174	+	2.32829i	−0.0349453	+	0.00242026i
$963$	505.371	−	220.731i	0.524789	−	0.229211i
$964$	821.940	−	114.401i	0.852634	−	0.118673i
$965$	183.097	+	153.636i	0.189737	+	0.159209i
$966$	779.110	+	636.356i	0.806532	+	0.658753i
$967$	946.293	−	166.857i	0.978586	−	0.172551i	0.338594	−	0.940933i	$-0.390049\pi$
$967$	946.293	−	166.857i	0.978586	−	0.172551i	0.639992	+	0.768381i	$0.278938\pi$
$968$	288.307	−	367.502i	0.297838	−	0.379651i
$969$	471.223	+	308.394i	0.486298	+	0.318260i
$970$	−26.4095	+	249.672i	−0.0272263	+	0.257394i
$971$			1270.91i			1.30887i	0.756118	+	0.654435i	$0.227094\pi$
$971$			1270.91i			1.30887i	−0.756118	+	0.654435i	$0.772906\pi$
$972$	−32.3850	−	971.460i	−0.0333179	−	0.999445i
$973$	1063.04			1.09254
$974$	−335.149	−	35.4510i	−0.344095	−	0.0363973i
$975$	321.003	−	490.490i	0.329234	−	0.503067i
$976$	−603.348	−	1245.45i	−0.618184	−	1.27607i
$977$	298.940	+	1695.37i	0.305977	+	1.73528i	0.618869	+	0.785494i	$0.287591\pi$
$977$	298.940	+	1695.37i	0.305977	+	1.73528i	−0.312892	+	0.949789i	$0.601298\pi$
$978$	−797.184	+	976.017i	−0.815117	+	0.997973i
$979$	677.456	−	807.361i	0.691988	−	0.824679i
$980$	−79.1439	+	11.0156i	−0.0807591	+	0.0112404i
$981$	−696.824	−	1595.41i	−0.710320	−	1.62631i
$982$	55.3937	+	799.812i	0.0564091	+	0.814473i
$983$	−1386.92	−	244.552i	−1.41091	−	0.248781i	−0.584291	−	0.811544i	$-0.698627\pi$
$983$	−1386.92	−	244.552i	−1.41091	−	0.248781i	−0.826619	+	0.562763i	$0.809739\pi$
$984$	114.611	+	338.940i	0.116475	+	0.344451i
$985$	−103.948	−	37.8340i	−0.105531	−	0.0384102i
$986$	796.179	−	767.838i	0.807483	−	0.778740i
$987$	1024.06	+	438.975i	1.03755	+	0.444756i
$988$	−206.627	−	389.859i	−0.209136	−	0.394594i
$989$	−1018.74	−	1764.50i	−1.03007	−	1.78413i
$990$	−32.9816	−	104.248i	−0.0333147	−	0.105301i
$991$	918.471	+	530.279i	0.926812	+	0.535095i	0.885802	−	0.464064i	$-0.153609\pi$
$991$	918.471	+	530.279i	0.926812	+	0.535095i	0.0410102	+	0.999159i	$0.486942\pi$
$992$	735.399	−	127.150i	0.741330	−	0.128176i
$993$	−121.808	−	403.523i	−0.122667	−	0.406367i
$994$	797.167	+	229.158i	0.801979	+	0.230541i
$995$	−96.1607	−	114.600i	−0.0966440	−	0.115176i
$996$	236.927	+	111.889i	0.237878	+	0.112339i
$997$	−1156.49	+	420.929i	−1.15997	+	0.422195i	−0.849087	−	0.528252i	$-0.822847\pi$
$997$	−1156.49	+	420.929i	−1.15997	+	0.422195i	−0.310885	+	0.950448i	$0.600625\pi$
$998$	284.174	+	138.835i	0.284744	+	0.139113i
$999$	19.8021	+	53.2710i	0.0198220	+	0.0533243i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	108.3.j.a.7.18	✓	204
3.2	odd	2		324.3.j.a.19.17		204
4.3	odd	2	inner	108.3.j.a.7.26	yes	204
12.11	even	2		324.3.j.a.19.9		204
27.4	even	9	inner	108.3.j.a.31.26	yes	204
27.23	odd	18		324.3.j.a.307.9		204
108.23	even	18		324.3.j.a.307.17		204
108.31	odd	18	inner	108.3.j.a.31.18	yes	204

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
108.3.j.a.7.18	✓	204	1.1	even	1	trivial
108.3.j.a.7.26	yes	204	4.3	odd	2	inner
108.3.j.a.31.18	yes	204	108.31	odd	18	inner
108.3.j.a.31.26	yes	204	27.4	even	9	inner
324.3.j.a.19.9		204	12.11	even	2
324.3.j.a.19.17		204	3.2	odd	2
324.3.j.a.307.9		204	27.23	odd	18
324.3.j.a.307.17		204	108.23	even	18

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:	\( N \)	\(=\)	\( 108 = 2^{2} \cdot 3^{3} \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	108.j (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.210380 - 1.98890i) q^{2} +(1.64282 - 2.51021i) q^{3} +(-3.91148 - 0.836851i) q^{4} +(-0.133306 - 0.756014i) q^{5} +(-4.64695 - 3.79550i) q^{6} +(3.08121 - 3.67204i) q^{7} +(-2.48731 + 7.60350i) q^{8} +(-3.60231 - 8.24763i) q^{9} +O(q^{10})\)	\(q+(0.210380 - 1.98890i) q^{2} +(1.64282 - 2.51021i) q^{3} +(-3.91148 - 0.836851i) q^{4} +(-0.133306 - 0.756014i) q^{5} +(-4.64695 - 3.79550i) q^{6} +(3.08121 - 3.67204i) q^{7} +(-2.48731 + 7.60350i) q^{8} +(-3.60231 - 8.24763i) q^{9} +(-1.53168 + 0.106082i) q^{10} +(-7.79262 - 1.37405i) q^{11} +(-8.52652 + 8.44384i) q^{12} +(7.52188 + 2.73774i) q^{13} +(-6.65511 - 6.90075i) q^{14} +(-2.11675 - 0.907367i) q^{15} +(14.5994 + 6.54666i) q^{16} +(6.81117 + 11.7973i) q^{17} +(-17.1616 + 5.42951i) q^{18} +(11.9343 + 6.89025i) q^{19} +(-0.111249 + 3.06869i) q^{20} +(-4.15573 - 13.7670i) q^{21} +(-4.37226 + 15.2097i) q^{22} +(-22.4825 - 26.7936i) q^{23} +(15.0002 + 18.7348i) q^{24} +(22.9385 - 8.34894i) q^{25} +(7.02756 - 14.3843i) q^{26} +(-26.6212 - 4.50678i) q^{27} +(-15.1250 + 11.7846i) q^{28} +(38.1507 - 13.8857i) q^{29} +(-2.24999 + 4.01912i) q^{30} +(14.9912 + 17.8658i) q^{31} +(16.0921 - 27.6594i) q^{32} +(-16.2510 + 17.3038i) q^{33} +(24.8966 - 11.0648i) q^{34} +(-3.18685 - 1.83993i) q^{35} +(7.18832 + 35.2750i) q^{36} +(-1.05245 - 1.82290i) q^{37} +(16.2148 - 22.2865i) q^{38} +(19.2294 - 14.3839i) q^{39} +(6.07993 + 0.866854i) q^{40} +(14.0090 + 5.09885i) q^{41} +(-28.2555 + 5.36906i) q^{42} +(57.3675 + 10.1154i) q^{43} +(29.3308 + 11.8958i) q^{44} +(-5.75511 + 3.82285i) q^{45} +(-58.0198 + 39.0787i) q^{46} +(-49.8023 + 59.3520i) q^{47} +(40.4175 - 25.8925i) q^{48} +(4.51872 + 25.6270i) q^{49} +(-11.7794 - 47.3790i) q^{50} +(40.8032 + 2.28331i) q^{51} +(-27.1306 - 17.0033i) q^{52} -43.6318 q^{53} +(-14.5641 + 51.9989i) q^{54} +6.07450i q^{55} +(20.2564 + 32.5615i) q^{56} +(36.9018 - 18.6381i) q^{57} +(-19.5912 - 78.7993i) q^{58} +(43.0425 - 7.58956i) q^{59} +(7.52030 + 5.32055i) q^{60} +(-66.2578 - 55.5969i) q^{61} +(38.6873 - 26.0575i) q^{62} +(-41.3851 - 12.1848i) q^{63} +(-51.6265 - 37.8246i) q^{64} +(1.06706 - 6.05160i) q^{65} +(30.9967 + 35.9621i) q^{66} +(-14.0519 + 38.6072i) q^{67} +(-16.7692 - 51.8448i) q^{68} +(-104.192 + 12.4188i) q^{69} +(-4.32990 + 5.95126i) q^{70} +(-74.9269 + 43.2591i) q^{71} +(71.6709 - 6.87573i) q^{72} +(-42.9421 + 74.3779i) q^{73} +(-3.84699 + 1.70973i) q^{74} +(16.7262 - 71.2963i) q^{75} +(-40.9145 - 36.9383i) q^{76} +(-29.0562 + 24.3811i) q^{77} +(-24.5627 - 41.2715i) q^{78} +(7.58889 + 20.8503i) q^{79} +(3.00319 - 11.9100i) q^{80} +(-55.0467 + 59.4210i) q^{81} +(13.0883 - 26.7898i) q^{82} +(-7.46796 - 20.5180i) q^{83} +(4.73417 + 57.3269i) q^{84} +(8.01094 - 6.72198i) q^{85} +(32.1876 - 111.970i) q^{86} +(27.8185 - 118.578i) q^{87} +(29.8303 - 55.8335i) q^{88} +(-66.5965 + 115.349i) q^{89} +(6.39252 + 12.2506i) q^{90} +(33.2296 - 19.1851i) q^{91} +(65.5176 + 123.617i) q^{92} +(69.4748 - 8.28082i) q^{93} +(107.568 + 111.538i) q^{94} +(3.61822 - 9.94098i) q^{95} +(-42.9947 - 85.8339i) q^{96} +(28.3954 - 161.038i) q^{97} +(51.9202 - 3.59591i) q^{98} +(16.7388 + 69.2204i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9}+O(q^{10}) \) 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9	\( 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9} - 3 q^{10} + 39 q^{12} - 12 q^{13} + 39 q^{14} - 6 q^{16} - 6 q^{17} - 27 q^{18} - 69 q^{20} - 12 q^{21} - 6 q^{22} - 138 q^{24} - 12 q^{25} - 174 q^{26} - 12 q^{28} + 60 q^{29} - 153 q^{30} - 96 q^{32} + 48 q^{33} + 6 q^{34} + 24 q^{36} - 6 q^{37} + 72 q^{38} + 69 q^{40} - 192 q^{41} - 126 q^{42} - 219 q^{44} - 132 q^{45} - 3 q^{46} - 219 q^{48} - 12 q^{49} - 165 q^{50} + 21 q^{52} - 24 q^{53} + 78 q^{54} + 99 q^{56} - 150 q^{57} - 141 q^{58} + 210 q^{60} - 12 q^{61} + 294 q^{62} - 3 q^{64} - 156 q^{65} + 393 q^{66} + 375 q^{68} - 60 q^{69} - 165 q^{70} + 228 q^{72} - 6 q^{73} + 447 q^{74} - 54 q^{76} + 132 q^{77} + 750 q^{78} + 798 q^{80} + 228 q^{81} - 12 q^{82} + 762 q^{84} + 138 q^{85} + 606 q^{86} - 198 q^{88} - 114 q^{89} + 894 q^{90} + 723 q^{92} - 1020 q^{93} - 357 q^{94} + 474 q^{96} + 168 q^{97} + 510 q^{98}+O(q^{100}) \) 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9 - 3 * q^10 + 39 * q^12 - 12 * q^13 + 39 * q^14 - 6 * q^16 - 6 * q^17 - 27 * q^18 - 69 * q^20 - 12 * q^21 - 6 * q^22 - 138 * q^24 - 12 * q^25 - 174 * q^26 - 12 * q^28 + 60 * q^29 - 153 * q^30 - 96 * q^32 + 48 * q^33 + 6 * q^34 + 24 * q^36 - 6 * q^37 + 72 * q^38 + 69 * q^40 - 192 * q^41 - 126 * q^42 - 219 * q^44 - 132 * q^45 - 3 * q^46 - 219 * q^48 - 12 * q^49 - 165 * q^50 + 21 * q^52 - 24 * q^53 + 78 * q^54 + 99 * q^56 - 150 * q^57 - 141 * q^58 + 210 * q^60 - 12 * q^61 + 294 * q^62 - 3 * q^64 - 156 * q^65 + 393 * q^66 + 375 * q^68 - 60 * q^69 - 165 * q^70 + 228 * q^72 - 6 * q^73 + 447 * q^74 - 54 * q^76 + 132 * q^77 + 750 * q^78 + 798 * q^80 + 228 * q^81 - 12 * q^82 + 762 * q^84 + 138 * q^85 + 606 * q^86 - 198 * q^88 - 114 * q^89 + 894 * q^90 + 723 * q^92 - 1020 * q^93 - 357 * q^94 + 474 * q^96 + 168 * q^97 + 510 * q^98

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