LMFDB - Embedded newform 430.2.k.b.391.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [430,2,Mod(11,430)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(430, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 10]))

N = Newforms(chi, 2, names="a")

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

chi := DirichletCharacter("430.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 430 = 2 \cdot 5 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	430.k (of order $7$, 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:	$3.43356728692$
Analytic rank:	$0$
Dimension:	$18$
Relative dimension:	$3$ over $\Q(\zeta_{7})$
Coefficient field:	$\mathbb{Q}[x]/(x^{18} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{18} - 5 x^{17} + 17 x^{16} - 43 x^{15} + 90 x^{14} - 114 x^{13} + 135 x^{12} + 2 x^{11} + 313 x^{10} + \cdots + 169 $ x^18 - 5x^17 + 17x^16 - 43x^15 + 90x^14 - 114x^13 + 135x^12 + 2x^11 + 313x^10 - 632x^9 + 2382x^8 - 1755x^7 + 2203x^6 - 3817x^5 + 4882x^4 - 4217x^3 + 2612x^2 - 871*x + 169
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			391.3
Root			$0.468318 - 2.05184i$ of defining polynomial
Character	$\chi$	$=$	430.391
Dual form			430.2.k.b.11.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.623490 - 0.781831i) q^{2} +(1.31220 + 1.64545i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(0.900969 + 0.433884i) q^{5} +2.10460 q^{6} +3.23129 q^{7} +(-0.900969 - 0.433884i) q^{8} +(-0.318062 + 1.39352i) q^{9} +O(q^{10})$	\(q+(0.623490 - 0.781831i) q^{2} +(1.31220 + 1.64545i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(0.900969 + 0.433884i) q^{5} +2.10460 q^{6} +3.23129 q^{7} +(-0.900969 - 0.433884i) q^{8} +(-0.318062 + 1.39352i) q^{9} +(0.900969 - 0.433884i) q^{10} +(-0.477607 + 2.09253i) q^{11} +(1.31220 - 1.64545i) q^{12} +(-2.80686 - 1.35171i) q^{13} +(2.01468 - 2.52633i) q^{14} +(0.468318 + 2.05184i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(-3.74646 + 1.80420i) q^{17} +(0.891189 + 1.11752i) q^{18} +(-0.432889 - 1.89661i) q^{19} +(0.222521 - 0.974928i) q^{20} +(4.24010 + 5.31692i) q^{21} +(1.33822 + 1.67808i) q^{22} +(-0.237110 + 1.03884i) q^{23} +(-0.468318 - 2.05184i) q^{24} +(0.623490 + 0.781831i) q^{25} +(-2.80686 + 1.35171i) q^{26} +(2.97823 - 1.43424i) q^{27} +(-0.719031 - 3.15028i) q^{28} +(3.24454 - 4.06852i) q^{29} +(1.89618 + 0.913153i) q^{30} +(3.17507 - 3.98141i) q^{31} +(-0.222521 + 0.974928i) q^{32} +(-4.06986 + 1.95994i) q^{33} +(-0.925298 + 4.05400i) q^{34} +(2.91130 + 1.40201i) q^{35} +1.42936 q^{36} +0.553324 q^{37} +(-1.75273 - 0.844070i) q^{38} +(-1.45899 - 6.39225i) q^{39} +(-0.623490 - 0.781831i) q^{40} +(-3.53562 + 4.43352i) q^{41} +6.80059 q^{42} +(-6.11866 + 2.35839i) q^{43} +2.14634 q^{44} +(-0.891189 + 1.11752i) q^{45} +(0.664366 + 0.833089i) q^{46} +(1.06905 + 4.68381i) q^{47} +(-1.89618 - 0.913153i) q^{48} +3.44126 q^{49} +1.00000 q^{50} +(-7.88480 - 3.79712i) q^{51} +(-0.693237 + 3.03727i) q^{52} +(-2.72009 + 1.30993i) q^{53} +(0.735561 - 3.22270i) q^{54} +(-1.33822 + 1.67808i) q^{55} +(-2.91130 - 1.40201i) q^{56} +(2.55273 - 3.20102i) q^{57} +(-1.15796 - 5.07337i) q^{58} +(-2.29962 + 1.10744i) q^{59} +(1.89618 - 0.913153i) q^{60} +(-4.55631 - 5.71343i) q^{61} +(-1.13317 - 4.96473i) q^{62} +(-1.02775 + 4.50287i) q^{63} +(0.623490 + 0.781831i) q^{64} +(-1.94241 - 2.43570i) q^{65} +(-1.00517 + 4.40395i) q^{66} +(-1.70162 - 7.45530i) q^{67} +(2.59263 + 3.25105i) q^{68} +(-2.02050 + 0.973020i) q^{69} +(2.91130 - 1.40201i) q^{70} +(-2.69146 - 11.7921i) q^{71} +(0.891189 - 1.11752i) q^{72} +(-0.371686 - 0.178994i) q^{73} +(0.344992 - 0.432606i) q^{74} +(-0.468318 + 2.05184i) q^{75} +(-1.75273 + 0.844070i) q^{76} +(-1.54329 + 6.76158i) q^{77} +(-5.90732 - 2.84482i) q^{78} -17.6196 q^{79} -1.00000 q^{80} +(10.1314 + 4.87903i) q^{81} +(1.26185 + 5.52851i) q^{82} +(-0.737415 - 0.924689i) q^{83} +(4.24010 - 5.31692i) q^{84} -4.15825 q^{85} +(-1.97106 + 6.25419i) q^{86} +10.9520 q^{87} +(1.33822 - 1.67808i) q^{88} +(-5.12076 - 6.42123i) q^{89} +(0.318062 + 1.39352i) q^{90} +(-9.06979 - 4.36778i) q^{91} +1.06556 q^{92} +10.7175 q^{93} +(4.32849 + 2.08449i) q^{94} +(0.432889 - 1.89661i) q^{95} +(-1.89618 + 0.913153i) q^{96} +(1.62913 - 7.13768i) q^{97} +(2.14559 - 2.69049i) q^{98} +(-2.76408 - 1.33111i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 18 q - 3 q^{2} + 2 q^{3} - 3 q^{4} + 3 q^{5} + 2 q^{6} + 6 q^{7} - 3 q^{8} - 7 q^{9}+O(q^{10}) $ 18 * q - 3 * q^2 + 2 * q^3 - 3 * q^4 + 3 * q^5 + 2 * q^6 + 6 * q^7 - 3 * q^8 - 7 * q^9	\( 18 q - 3 q^{2} + 2 q^{3} - 3 q^{4} + 3 q^{5} + 2 q^{6} + 6 q^{7} - 3 q^{8} - 7 q^{9} + 3 q^{10} + 9 q^{11} + 2 q^{12} + 4 q^{13} + 13 q^{14} + 5 q^{15} - 3 q^{16} - q^{17} + 7 q^{18} - 2 q^{19} + 3 q^{20} - 2 q^{21} - 12 q^{22} - 19 q^{23} - 5 q^{24} - 3 q^{25} + 4 q^{26} + 17 q^{27} - q^{28} - 4 q^{29} - 2 q^{30} - 13 q^{31} - 3 q^{32} - 42 q^{33} - 8 q^{34} + 15 q^{35} + 2 q^{37} + 12 q^{38} - 39 q^{39} + 3 q^{40} - 4 q^{41} - 2 q^{42} - 13 q^{43} - 12 q^{44} - 7 q^{45} + 16 q^{46} + 16 q^{47} + 2 q^{48} + 4 q^{49} + 18 q^{50} + 7 q^{51} - 10 q^{52} + 14 q^{53} - 4 q^{54} + 12 q^{55} - 15 q^{56} + 45 q^{57} + 24 q^{58} - 16 q^{59} - 2 q^{60} + 24 q^{61} + 50 q^{62} - 33 q^{63} - 3 q^{64} - 4 q^{65} + 5 q^{67} + 13 q^{68} + 4 q^{69} + 15 q^{70} - 3 q^{71} + 7 q^{72} - 22 q^{73} - 12 q^{74} - 5 q^{75} + 12 q^{76} - 24 q^{77} + 31 q^{78} - 38 q^{79} - 18 q^{80} + 22 q^{81} - 11 q^{82} - 26 q^{83} - 2 q^{84} + 8 q^{85} - 41 q^{86} - 22 q^{87} - 12 q^{88} + 52 q^{89} + 7 q^{90} - 14 q^{91} + 2 q^{92} - 6 q^{93} + 2 q^{94} + 2 q^{95} + 2 q^{96} + 27 q^{97} + 32 q^{98} + 36 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 + 2 * q^3 - 3 * q^4 + 3 * q^5 + 2 * q^6 + 6 * q^7 - 3 * q^8 - 7 * q^9 + 3 * q^10 + 9 * q^11 + 2 * q^12 + 4 * q^13 + 13 * q^14 + 5 * q^15 - 3 * q^16 - q^17 + 7 * q^18 - 2 * q^19 + 3 * q^20 - 2 * q^21 - 12 * q^22 - 19 * q^23 - 5 * q^24 - 3 * q^25 + 4 * q^26 + 17 * q^27 - q^28 - 4 * q^29 - 2 * q^30 - 13 * q^31 - 3 * q^32 - 42 * q^33 - 8 * q^34 + 15 * q^35 + 2 * q^37 + 12 * q^38 - 39 * q^39 + 3 * q^40 - 4 * q^41 - 2 * q^42 - 13 * q^43 - 12 * q^44 - 7 * q^45 + 16 * q^46 + 16 * q^47 + 2 * q^48 + 4 * q^49 + 18 * q^50 + 7 * q^51 - 10 * q^52 + 14 * q^53 - 4 * q^54 + 12 * q^55 - 15 * q^56 + 45 * q^57 + 24 * q^58 - 16 * q^59 - 2 * q^60 + 24 * q^61 + 50 * q^62 - 33 * q^63 - 3 * q^64 - 4 * q^65 + 5 * q^67 + 13 * q^68 + 4 * q^69 + 15 * q^70 - 3 * q^71 + 7 * q^72 - 22 * q^73 - 12 * q^74 - 5 * q^75 + 12 * q^76 - 24 * q^77 + 31 * q^78 - 38 * q^79 - 18 * q^80 + 22 * q^81 - 11 * q^82 - 26 * q^83 - 2 * q^84 + 8 * q^85 - 41 * q^86 - 22 * q^87 - 12 * q^88 + 52 * q^89 + 7 * q^90 - 14 * q^91 + 2 * q^92 - 6 * q^93 + 2 * q^94 + 2 * q^95 + 2 * q^96 + 27 * q^97 + 32 * q^98 + 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/430\mathbb{Z}\right)^\times$.

$n$	$87$	$261$
$\chi(n)$	$1$	$e\left(\frac{2}{7}\right)$

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 $

$2$	0.623490	−	0.781831i	0.440874	−	0.552838i
$2$	0.623490	−	0.781831i	0.440874	−	0.552838i
$3$	1.31220	+	1.64545i	0.757598	+	0.949998i	0.999795	−	0.0202287i	$-0.00643945\pi$
$3$	1.31220	+	1.64545i	0.757598	+	0.949998i	−0.242197	+	0.970227i	$0.577868\pi$
$4$	−0.222521	−	0.974928i	−0.111260	−	0.487464i
$5$	0.900969	+	0.433884i	0.402926	+	0.194039i
$5$	0.900969	+	0.433884i	0.402926	+	0.194039i
$6$	2.10460			0.859201
$7$	3.23129			1.22131			0.610657	−	0.791895i	$-0.290905\pi$
$7$	3.23129			1.22131			0.610657	+	0.791895i	$0.290905\pi$
$8$	−0.900969	−	0.433884i	−0.318541	−	0.153401i
$9$	−0.318062	+	1.39352i	−0.106021	+	0.464507i
$10$	0.900969	−	0.433884i	0.284911	−	0.137206i
$11$	−0.477607	+	2.09253i	−0.144004	+	0.630922i	0.850478	+	0.526011i	$0.176313\pi$
$11$	−0.477607	+	2.09253i	−0.144004	+	0.630922i	−0.994482	+	0.104911i	$0.966544\pi$
$12$	1.31220	−	1.64545i	0.378799	−	0.474999i
$13$	−2.80686	−	1.35171i	−0.778482	−	0.374897i	0.00206184	−	0.999998i	$-0.499344\pi$
$13$	−2.80686	−	1.35171i	−0.778482	−	0.374897i	−0.780544	+	0.625100i	$0.785058\pi$
$14$	2.01468	−	2.52633i	0.538446	−	0.675189i
$15$	0.468318	+	2.05184i	0.120919	+	0.529782i
$16$	−0.900969	+	0.433884i	−0.225242	+	0.108471i
$17$	−3.74646	+	1.80420i	−0.908649	+	0.437582i	−0.829005	−	0.559241i	$-0.811093\pi$
$17$	−3.74646	+	1.80420i	−0.908649	+	0.437582i	−0.0796438	+	0.996823i	$0.525378\pi$
$18$	0.891189	+	1.11752i	0.210055	+	0.263401i
$19$	−0.432889	−	1.89661i	−0.0993115	−	0.435112i	−1.00000		0.000646120i	$-0.999794\pi$
$19$	−0.432889	−	1.89661i	−0.0993115	−	0.435112i	0.900688	−	0.434466i	$-0.143063\pi$
$20$	0.222521	−	0.974928i	0.0497572	−	0.218001i
$21$	4.24010	+	5.31692i	0.925266	+	1.16025i
$22$	1.33822	+	1.67808i	0.285310	+	0.357768i
$23$	−0.237110	+	1.03884i	−0.0494408	+	0.216614i	−0.993614	−	0.112836i	$-0.964006\pi$
$23$	−0.237110	+	1.03884i	−0.0494408	+	0.216614i	0.944173	+	0.329451i	$0.106864\pi$
$24$	−0.468318	−	2.05184i	−0.0955951	−	0.418829i
$25$	0.623490	+	0.781831i	0.124698	+	0.156366i
$26$	−2.80686	+	1.35171i	−0.550470	+	0.265092i
$27$	2.97823	−	1.43424i	0.573160	−	0.276019i
$28$	−0.719031	−	3.15028i	−0.135884	−	0.595347i
$29$	3.24454	−	4.06852i	0.602496	−	0.755506i	−0.383269	−	0.923637i	$-0.625202\pi$
$29$	3.24454	−	4.06852i	0.602496	−	0.755506i	0.985765	+	0.168131i	$0.0537731\pi$
$30$	1.89618	+	0.913153i	0.346194	+	0.166718i
$31$	3.17507	−	3.98141i	0.570259	−	0.715082i	−0.410158	−	0.912014i	$-0.634527\pi$
$31$	3.17507	−	3.98141i	0.570259	−	0.715082i	0.980417	+	0.196932i	$0.0630980\pi$
$32$	−0.222521	+	0.974928i	−0.0393365	+	0.172345i
$33$	−4.06986	+	1.95994i	−0.708472	+	0.341182i
$34$	−0.925298	+	4.05400i	−0.158687	+	0.695254i
$35$	2.91130	+	1.40201i	0.492099	+	0.236982i
$36$	1.42936			0.238226
$37$	0.553324			0.0909659			0.0454829	−	0.998965i	$-0.485517\pi$
$37$	0.553324			0.0909659			0.0454829	+	0.998965i	$0.485517\pi$
$38$	−1.75273	−	0.844070i	−0.284330	−	0.136926i
$39$	−1.45899	−	6.39225i	−0.233625	−	1.02358i
$40$	−0.623490	−	0.781831i	−0.0985824	−	0.123618i
$41$	−3.53562	+	4.43352i	−0.552171	+	0.692400i	−0.977089	−	0.212832i	$-0.931731\pi$
$41$	−3.53562	+	4.43352i	−0.552171	+	0.692400i	0.424918	+	0.905232i	$0.360303\pi$
$42$	6.80059			1.04935
$43$	−6.11866	+	2.35839i	−0.933087	+	0.359651i
$43$	−6.11866	+	2.35839i	−0.933087	+	0.359651i
$44$	2.14634			0.323574
$45$	−0.891189	+	1.11752i	−0.132851	+	0.166589i
$46$	0.664366	+	0.833089i	0.0979555	+	0.122832i
$47$	1.06905	+	4.68381i	0.155937	+	0.683204i	0.991091	+	0.133188i	$0.0425213\pi$
$47$	1.06905	+	4.68381i	0.155937	+	0.683204i	−0.835154	+	0.550016i	$0.814622\pi$
$48$	−1.89618	−	0.913153i	−0.273690	−	0.131802i
$49$	3.44126			0.491609
$50$	1.00000			0.141421
$51$	−7.88480	−	3.79712i	−1.10409	−	0.531703i
$52$	−0.693237	+	3.03727i	−0.0961346	+	0.421193i
$53$	−2.72009	+	1.30993i	−0.373633	+	0.179932i	−0.611270	−	0.791422i	$-0.709341\pi$
$53$	−2.72009	+	1.30993i	−0.373633	+	0.179932i	0.237638	+	0.971354i	$0.423627\pi$
$54$	0.735561	−	3.22270i	0.100097	−	0.438554i
$55$	−1.33822	+	1.67808i	−0.180446	+	0.226272i
$56$	−2.91130	−	1.40201i	−0.389038	−	0.187351i
$57$	2.55273	−	3.20102i	0.338117	−	0.423986i
$58$	−1.15796	−	5.07337i	−0.152048	−	0.666166i
$59$	−2.29962	+	1.10744i	−0.299384	+	0.144176i	−0.577545	−	0.816359i	$-0.695989\pi$
$59$	−2.29962	+	1.10744i	−0.299384	+	0.144176i	0.278161	+	0.960534i	$0.410275\pi$
$60$	1.89618	−	0.913153i	0.244796	−	0.117888i
$61$	−4.55631	−	5.71343i	−0.583375	−	0.731529i	0.399309	−	0.916816i	$-0.369250\pi$
$61$	−4.55631	−	5.71343i	−0.583375	−	0.731529i	−0.982684	+	0.185287i	$0.940679\pi$
$62$	−1.13317	−	4.96473i	−0.143912	−	0.630522i
$63$	−1.02775	+	4.50287i	−0.129484	+	0.567309i
$64$	0.623490	+	0.781831i	0.0779362	+	0.0977289i
$65$	−1.94241	−	2.43570i	−0.240926	−	0.302111i
$66$	−1.00517	+	4.40395i	−0.123728	+	0.542089i
$67$	−1.70162	−	7.45530i	−0.207886	−	0.910810i	−0.965970	−	0.258653i	$-0.916721\pi$
$67$	−1.70162	−	7.45530i	−0.207886	−	0.910810i	0.758084	−	0.652157i	$-0.226136\pi$
$68$	2.59263	+	3.25105i	0.314402	+	0.394248i
$69$	−2.02050	+	0.973020i	−0.243239	+	0.117138i
$70$	2.91130	−	1.40201i	0.347966	−	0.167572i
$71$	−2.69146	−	11.7921i	−0.319418	−	1.39946i	−0.838576	−	0.544784i	$-0.816612\pi$
$71$	−2.69146	−	11.7921i	−0.319418	−	1.39946i	0.519158	−	0.854678i	$-0.326246\pi$
$72$	0.891189	−	1.11752i	0.105028	−	0.131701i
$73$	−0.371686	−	0.178994i	−0.0435025	−	0.0209497i	0.412006	−	0.911181i	$-0.364828\pi$
$73$	−0.371686	−	0.178994i	−0.0435025	−	0.0209497i	−0.455509	+	0.890231i	$0.650543\pi$
$74$	0.344992	−	0.432606i	0.0401045	−	0.0502894i
$75$	−0.468318	+	2.05184i	−0.0540767	+	0.236926i
$76$	−1.75273	+	0.844070i	−0.201052	+	0.0968215i
$77$	−1.54329	+	6.76158i	−0.175874	+	0.770554i
$78$	−5.90732	−	2.84482i	−0.668873	−	0.322112i
$79$	−17.6196			−1.98236			−0.991179	−	0.132533i	$-0.957689\pi$
$79$	−17.6196			−1.98236			−0.991179	+	0.132533i	$0.957689\pi$
$80$	−1.00000			−0.111803
$81$	10.1314	+	4.87903i	1.12571	+	0.542114i
$82$	1.26185	+	5.52851i	0.139348	+	0.610522i
$83$	−0.737415	−	0.924689i	−0.0809418	−	0.101498i	0.739712	−	0.672924i	$-0.234962\pi$
$83$	−0.737415	−	0.924689i	−0.0809418	−	0.101498i	−0.820654	+	0.571426i	$0.806390\pi$
$84$	4.24010	−	5.31692i	0.462633	−	0.580123i
$85$	−4.15825			−0.451026
$86$	−1.97106	+	6.25419i	−0.212545	+	0.674407i
$87$	10.9520			1.17418
$88$	1.33822	−	1.67808i	0.142655	−	0.178884i
$89$	−5.12076	−	6.42123i	−0.542800	−	0.680649i	0.432475	−	0.901646i	$-0.357640\pi$
$89$	−5.12076	−	6.42123i	−0.542800	−	0.680649i	−0.975275	+	0.220997i	$0.929069\pi$
$90$	0.318062	+	1.39352i	0.0335267	+	0.146890i
$91$	−9.06979	−	4.36778i	−0.950772	−	0.457868i
$92$	1.06556			0.111092
$93$	10.7175			1.11135
$94$	4.32849	+	2.08449i	0.446450	+	0.214999i
$95$	0.432889	−	1.89661i	0.0444134	−	0.194588i
$96$	−1.89618	+	0.913153i	−0.193528	+	0.0931983i
$97$	1.62913	−	7.13768i	0.165413	−	0.724722i	−0.822379	−	0.568941i	$-0.807353\pi$
$97$	1.62913	−	7.13768i	0.165413	−	0.724722i	0.987792	−	0.155781i	$-0.0497894\pi$
$98$	2.14559	−	2.69049i	0.216738	−	0.271780i
$99$	−2.76408	−	1.33111i	−0.277800	−	0.133781i
$100$	0.623490	−	0.781831i	0.0623490	−	0.0781831i
$101$	3.31244	+	14.5127i	0.329600	+	1.44407i	0.819895	+	0.572515i	$0.194032\pi$
$101$	3.31244	+	14.5127i	0.329600	+	1.44407i	−0.490295	+	0.871557i	$0.663111\pi$
$102$	−7.88480	+	3.79712i	−0.780712	+	0.375971i
$103$	11.8839	−	5.72297i	1.17095	−	0.563901i	0.255690	−	0.966759i	$-0.417697\pi$
$103$	11.8839	−	5.72297i	1.17095	−	0.563901i	0.915263	+	0.402858i	$0.131983\pi$
$104$	1.94241	+	2.43570i	0.190469	+	0.238840i
$105$	1.51327	+	6.63009i	0.147680	+	0.647030i
$106$	−0.671806	+	2.94338i	−0.0652516	+	0.285886i
$107$	3.86227	+	4.84313i	0.373379	+	0.468203i	0.932650	−	0.360782i	$-0.117490\pi$
$107$	3.86227	+	4.84313i	0.373379	+	0.468203i	−0.559271	+	0.828985i	$0.688919\pi$
$108$	−2.06100	−	2.58441i	−0.198319	−	0.248685i
$109$	−2.59716	+	11.3789i	−0.248763	+	1.08990i	0.684020	+	0.729463i	$0.260230\pi$
$109$	−2.59716	+	11.3789i	−0.248763	+	1.08990i	−0.932783	+	0.360438i	$0.882627\pi$
$110$	0.477607	+	2.09253i	0.0455380	+	0.199515i
$111$	0.726071	+	0.910464i	0.0689156	+	0.0864174i
$112$	−2.91130	+	1.40201i	−0.275092	+	0.132477i
$113$	5.61618	−	2.70461i	0.528325	−	0.254428i	−0.150653	−	0.988587i	$-0.548137\pi$
$113$	5.61618	−	2.70461i	0.528325	−	0.254428i	0.678978	+	0.734159i	$0.262423\pi$
$114$	−0.911059	−	3.99161i	−0.0853285	−	0.373849i
$115$	−0.664366	+	0.833089i	−0.0619525	+	0.0776859i
$116$	−4.68850	−	2.25786i	−0.435316	−	0.209637i
$117$	2.77639	−	3.48148i	0.256677	−	0.321863i
$118$	−0.567958	+	2.48839i	−0.0522848	+	0.229075i
$119$	−12.1059	+	5.82989i	−1.10975	+	0.534425i
$120$	0.468318	−	2.05184i	0.0427514	−	0.187306i
$121$	5.76008	+	2.77391i	0.523643	+	0.252173i
$122$	−7.30775			−0.661612
$123$	−11.9346			−1.07610
$124$	−4.58810	−	2.20951i	−0.412024	−	0.198420i
$125$	0.222521	+	0.974928i	0.0199029	+	0.0872002i
$126$	2.87969	+	3.61102i	0.256544	+	0.321696i
$127$	−2.15645	+	2.70410i	−0.191354	+	0.239950i	−0.868248	−	0.496130i	$-0.834754\pi$
$127$	−2.15645	+	2.70410i	−0.191354	+	0.239950i	0.676895	+	0.736080i	$0.263325\pi$
$128$	1.00000			0.0883883
$129$	−11.9095	−	6.97325i	−1.04857	−	0.613960i
$130$	−3.11538			−0.273237
$131$	10.4989	−	13.1652i	0.917292	−	1.15025i	−0.0709698	−	0.997478i	$-0.522609\pi$
$131$	10.4989	−	13.1652i	0.917292	−	1.15025i	0.988262	−	0.152769i	$-0.0488192\pi$
$132$	2.81643	+	3.53169i	0.245139	+	0.307394i
$133$	−1.39879	−	6.12850i	−0.121291	−	0.531408i
$134$	−6.88974	−	3.31792i	−0.595182	−	0.286625i
$135$	3.30558			0.284499
$136$	4.15825			0.356567
$137$	6.60851	+	3.18249i	0.564603	+	0.271898i	0.694336	−	0.719651i	$-0.255698\pi$
$137$	6.60851	+	3.18249i	0.564603	+	0.271898i	−0.129734	+	0.991549i	$0.541412\pi$
$138$	−0.499022	+	2.18636i	−0.0424795	+	0.186115i
$139$	−16.0024	+	7.70636i	−1.35731	+	0.653645i	−0.964035	−	0.265777i	$-0.914372\pi$
$139$	−16.0024	+	7.70636i	−1.35731	+	0.653645i	−0.393273	+	0.919422i	$0.628657\pi$
$140$	0.719031	−	3.15028i	0.0607692	−	0.266247i
$141$	−6.30415	+	7.90515i	−0.530905	+	0.665734i
$142$	−10.8975	−	5.24797i	−0.914499	−	0.440400i
$143$	4.16907	−	5.22785i	0.348635	−	0.437175i
$144$	−0.318062	−	1.39352i	−0.0265051	−	0.116127i
$145$	4.68850	−	2.25786i	0.389358	−	0.187505i
$146$	−0.371686	+	0.178994i	−0.0307609	+	0.0148137i
$147$	4.51562	+	5.66241i	0.372442	+	0.467028i
$148$	−0.123126	−	0.539451i	−0.0101209	−	0.0443426i
$149$	−2.73146	+	11.9673i	−0.223770	+	0.980401i	0.730841	+	0.682547i	$0.239128\pi$
$149$	−2.73146	+	11.9673i	−0.223770	+	0.980401i	−0.954612	+	0.297854i	$0.903729\pi$
$150$	1.31220	+	1.64545i	0.107141	+	0.134350i
$151$	2.58371	+	3.23987i	0.210259	+	0.263657i	0.875767	−	0.482734i	$-0.160356\pi$
$151$	2.58371	+	3.23987i	0.210259	+	0.263657i	−0.665508	+	0.746391i	$0.731785\pi$
$152$	−0.432889	+	1.89661i	−0.0351119	+	0.153835i
$153$	−1.32258	−	5.79461i	−0.106924	−	0.468466i
$154$	4.32420	+	5.42237i	0.348454	+	0.436947i
$155$	4.58810	−	2.20951i	0.368525	−	0.177472i
$156$	−5.90732	+	2.84482i	−0.472964	+	0.227768i
$157$	2.44838	+	10.7270i	0.195402	+	0.856111i	0.973631	+	0.228130i	$0.0732611\pi$
$157$	2.44838	+	10.7270i	0.195402	+	0.856111i	−0.778229	+	0.627981i	$0.783882\pi$
$158$	−10.9856	+	13.7755i	−0.873970	+	1.09592i
$159$	−5.72471	−	2.75687i	−0.453999	−	0.218634i
$160$	−0.623490	+	0.781831i	−0.0492912	+	0.0618092i
$161$	−0.766171	+	3.35681i	−0.0603827	+	0.264554i
$162$	10.1314	−	4.87903i	0.795998	−	0.383333i
$163$	−0.313315	+	1.37272i	−0.0245407	+	0.107520i	−0.985715	−	0.168422i	$-0.946133\pi$
$163$	−0.313315	+	1.37272i	−0.0245407	+	0.107520i	0.961174	+	0.275942i	$0.0889899\pi$
$164$	5.10912	+	2.46042i	0.398955	+	0.192127i
$165$	−4.51721			−0.351664
$166$	−1.18272			−0.0917970
$167$	17.2178	+	8.29166i	1.33235	+	0.641628i	0.958296	−	0.285778i	$-0.0922520\pi$
$167$	17.2178	+	8.29166i	1.33235	+	0.641628i	0.374058	+	0.927405i	$0.377966\pi$
$168$	−1.51327	−	6.63009i	−0.116752	−	0.511522i
$169$	−2.05404	−	2.57568i	−0.158003	−	0.198129i
$170$	−2.59263	+	3.25105i	−0.198845	+	0.249344i
$171$	2.78065			0.212641
$172$	3.66079	+	5.44046i	0.279132	+	0.414831i
$173$	3.19332			0.242784			0.121392	−	0.992605i	$-0.461264\pi$
$173$	3.19332			0.242784			0.121392	+	0.992605i	$0.461264\pi$
$174$	6.82847	−	8.56263i	0.517665	−	0.649132i
$175$	2.01468	+	2.52633i	0.152295	+	0.190972i
$176$	−0.477607	−	2.09253i	−0.0360010	−	0.157730i
$177$	−4.83978	−	2.33071i	−0.363780	−	0.175187i
$178$	−8.21307			−0.615595
$179$	−24.3573			−1.82055			−0.910274	−	0.414006i	$-0.864129\pi$
$179$	−24.3573			−1.82055			−0.910274	+	0.414006i	$0.864129\pi$
$180$	1.28781	+	0.620175i	0.0959874	+	0.0462251i
$181$	4.22670	−	18.5184i	0.314168	−	1.37646i	−0.533441	−	0.845837i	$-0.679101\pi$
$181$	4.22670	−	18.5184i	0.314168	−	1.37646i	0.847609	−	0.530622i	$-0.178042\pi$
$182$	−9.06979	+	4.36778i	−0.672297	+	0.323761i
$183$	3.42235	−	14.9943i	0.252988	−	1.10841i
$184$	0.664366	−	0.833089i	0.0489777	−	0.0614161i
$185$	0.498528	+	0.240078i	0.0366525	+	0.0176509i
$186$	6.68226	−	8.37928i	0.489967	−	0.614399i
$187$	−1.98601	−	8.70127i	−0.145231	−	0.636300i
$188$	4.32849	−	2.08449i	0.315688	−	0.152027i
$189$	9.62353	−	4.63445i	0.700009	−	0.337106i
$190$	−1.21293	−	1.52096i	−0.0879950	−	0.110342i
$191$	2.24902	+	9.85361i	0.162733	+	0.712982i	0.988780	+	0.149380i	$0.0477277\pi$
$191$	2.24902	+	9.85361i	0.162733	+	0.712982i	−0.826046	+	0.563602i	$0.809415\pi$
$192$	−0.468318	+	2.05184i	−0.0337980	+	0.148079i
$193$	13.8512	+	17.3688i	0.997029	+	1.25024i	0.968077	+	0.250654i	$0.0806457\pi$
$193$	13.8512	+	17.3688i	0.997029	+	1.25024i	0.0289525	+	0.999581i	$0.490783\pi$
$194$	−4.56472	−	5.72398i	−0.327728	−	0.410957i
$195$	1.45899	−	6.39225i	0.104480	−	0.457758i
$196$	−0.765753	−	3.35498i	−0.0546967	−	0.239642i
$197$	17.4083	+	21.8293i	1.24029	+	1.55528i	0.701015	+	0.713146i	$0.252730\pi$
$197$	17.4083	+	21.8293i	1.24029	+	1.55528i	0.539276	+	0.842129i	$0.318698\pi$
$198$	−2.76408	+	1.33111i	−0.196434	+	0.0945978i
$199$	13.7321	−	6.61301i	0.973440	−	0.468784i	0.121596	−	0.992580i	$-0.461199\pi$
$199$	13.7321	−	6.61301i	0.973440	−	0.468784i	0.851844	+	0.523796i	$0.175485\pi$
$200$	−0.222521	−	0.974928i	−0.0157346	−	0.0689378i
$201$	10.0344	−	12.5828i	0.707774	−	0.887520i
$202$	13.4118	+	6.45878i	0.943650	+	0.454438i
$203$	10.4841	−	13.1466i	0.735837	−	0.922711i
$204$	−1.94739	+	8.53205i	−0.136344	+	0.597363i
$205$	−5.10912	+	2.46042i	−0.356836	+	0.171843i
$206$	2.93507	−	12.8594i	0.204496	−	0.895957i
$207$	−1.37224	−	0.660834i	−0.0953769	−	0.0459311i
$208$	3.11538			0.216013
$209$	4.17546			0.288823
$210$	6.12712	+	2.95067i	0.422812	+	0.203615i
$211$	−5.85103	−	25.6350i	−0.402801	−	1.76479i	−0.615967	−	0.787772i	$-0.711234\pi$
$211$	−5.85103	−	25.6350i	−0.402801	−	1.76479i	0.213165	−	0.977016i	$-0.431623\pi$
$212$	1.88236	+	2.36040i	0.129281	+	0.162113i
$213$	15.8715	−	19.9022i	1.08750	−	1.36368i
$214$	6.19459			0.423454
$215$	−6.53599	−	0.529954i	−0.445751	−	0.0361426i
$216$	−3.30558			−0.224916
$217$	10.2596	−	12.8651i	0.696465	−	0.873340i
$218$	7.27708	+	9.12517i	0.492866	+	0.618035i
$219$	−0.193200	−	0.846465i	−0.0130552	−	0.0571988i
$220$	1.93379	+	0.931264i	0.130376	+	0.0627858i
$221$	12.9545			0.871416
$222$	1.16453			0.0781580
$223$	−4.08926	−	1.96929i	−0.273837	−	0.131873i	0.291926	−	0.956441i	$-0.405704\pi$
$223$	−4.08926	−	1.96929i	−0.273837	−	0.131873i	−0.565763	+	0.824568i	$0.691418\pi$
$224$	−0.719031	+	3.15028i	−0.0480423	+	0.210487i
$225$	−1.28781	+	0.620175i	−0.0858537	+	0.0413450i
$226$	1.38708	−	6.07720i	0.0922673	−	0.404249i
$227$	−6.00173	+	7.52594i	−0.398349	+	0.499514i	−0.940040	−	0.341064i	$-0.889213\pi$
$227$	−6.00173	+	7.52594i	−0.398349	+	0.499514i	0.541691	+	0.840578i	$0.317784\pi$
$228$	−3.68880	−	1.77643i	−0.244297	−	0.117647i
$229$	14.9539	−	18.7516i	0.988182	−	1.23914i	0.0172343	−	0.999851i	$-0.494514\pi$
$229$	14.9539	−	18.7516i	0.988182	−	1.23914i	0.970948	−	0.239290i	$-0.0769147\pi$
$230$	0.237110	+	1.03884i	0.0156345	+	0.0684994i
$231$	−13.1509	+	6.33315i	−0.865267	+	0.416691i
$232$	−4.68850	+	2.25786i	−0.307815	+	0.148236i
$233$	9.24424	+	11.5919i	0.605611	+	0.759412i	0.986241	−	0.165316i	$-0.0528643\pi$
$233$	9.24424	+	11.5919i	0.605611	+	0.759412i	−0.380630	+	0.924727i	$0.624293\pi$
$234$	−0.990883	−	4.34134i	−0.0647760	−	0.283802i
$235$	−1.06905	+	4.68381i	−0.0697371	+	0.305538i
$236$	1.59138	+	1.99553i	0.103590	+	0.129898i
$237$	−23.1204	−	28.9921i	−1.50183	−	1.88324i
$238$	−2.98991	+	13.0997i	−0.193807	+	0.849124i
$239$	2.48852	+	10.9029i	0.160969	+	0.705252i	0.989407	+	0.145171i	$0.0463731\pi$
$239$	2.48852	+	10.9029i	0.160969	+	0.705252i	−0.828437	+	0.560082i	$0.810770\pi$
$240$	−1.31220	−	1.64545i	−0.0847021	−	0.106213i
$241$	22.3085	−	10.7432i	1.43702	−	0.692032i	0.456730	−	0.889605i	$-0.349020\pi$
$241$	22.3085	−	10.7432i	1.43702	−	0.692032i	0.980288	+	0.197574i	$0.0633062\pi$
$242$	5.76008	−	2.77391i	0.370272	−	0.178314i
$243$	3.05956	+	13.4048i	0.196271	+	0.859919i
$244$	−4.55631	+	5.71343i	−0.291688	+	0.365765i
$245$	3.10047	+	1.49311i	0.198082	+	0.0953912i
$246$	−7.44107	+	9.33081i	−0.474425	+	0.594911i
$247$	−1.34861	+	5.90865i	−0.0858101	+	0.375959i
$248$	−4.58810	+	2.20951i	−0.291345	+	0.140304i
$249$	0.553890	−	2.42675i	0.0351014	−	0.153789i
$250$	0.900969	+	0.433884i	0.0569823	+	0.0274412i
$251$	−22.0028			−1.38880			−0.694401	−	0.719588i	$-0.744331\pi$
$251$	−22.0028			−1.38880			−0.694401	+	0.719588i	$0.744331\pi$
$252$	4.61867			0.290949
$253$	−2.06057	−	0.992318i	−0.129547	−	0.0623865i
$254$	0.769627	+	3.37196i	0.0482907	+	0.211575i
$255$	−5.45645	−	6.84218i	−0.341696	−	0.428474i
$256$	0.623490	−	0.781831i	0.0389681	−	0.0488645i
$257$	7.43695			0.463904			0.231952	−	0.972727i	$-0.425489\pi$
$257$	7.43695			0.463904			0.231952	+	0.972727i	$0.425489\pi$
$258$	−12.8774	+	4.96347i	−0.801709	+	0.309012i
$259$	1.78795			0.111098
$260$	−1.94241	+	2.43570i	−0.120463	+	0.151056i
$261$	4.63761	+	5.81537i	0.287061	+	0.359963i
$262$	−3.74701	−	16.4167i	−0.231491	−	1.01423i
$263$	14.4298	+	6.94901i	0.889777	+	0.428494i	0.822186	−	0.569219i	$-0.192754\pi$
$263$	14.4298	+	6.94901i	0.889777	+	0.428494i	0.0675911	+	0.997713i	$0.478469\pi$
$264$	4.51721			0.278015
$265$	−3.01907			−0.185460
$266$	−5.66359	−	2.72744i	−0.347257	−	0.167230i
$267$	3.84633	−	16.8519i	0.235392	−	1.03132i
$268$	−6.88974	+	3.31792i	−0.420858	+	0.202674i
$269$	−4.49524	+	19.6949i	−0.274080	+	1.20082i	0.631069	+	0.775727i	$0.282617\pi$
$269$	−4.49524	+	19.6949i	−0.274080	+	1.20082i	−0.905149	+	0.425095i	$0.860241\pi$
$270$	2.06100	−	2.58441i	0.125428	−	0.157282i
$271$	20.0373	+	9.64945i	1.21718	+	0.586162i	0.928525	−	0.371271i	$-0.121078\pi$
$271$	20.0373	+	9.64945i	1.21718	+	0.586162i	0.288654	+	0.957433i	$0.406792\pi$
$272$	2.59263	−	3.25105i	0.157201	−	0.197124i
$273$	−4.71442	−	20.6552i	−0.285330	−	1.25011i
$274$	6.60851	−	3.18249i	0.399234	−	0.192261i
$275$	−1.93379	+	0.931264i	−0.116612	+	0.0561573i
$276$	1.39823	+	1.75332i	0.0841634	+	0.105538i
$277$	−0.385326	−	1.68822i	−0.0231520	−	0.101435i	0.962032	−	0.272937i	$-0.0879952\pi$
$277$	−0.385326	−	1.68822i	−0.0231520	−	0.101435i	−0.985184	+	0.171502i	$0.945138\pi$
$278$	−3.95227	+	17.3160i	−0.237041	+	1.03855i
$279$	4.53830	+	5.69085i	0.271701	+	0.340702i
$280$	−2.01468	−	2.52633i	−0.120400	−	0.150977i
$281$	1.62306	−	7.11108i	0.0968234	−	0.424211i	−0.903164	−	0.429296i	$-0.858762\pi$
$281$	1.62306	−	7.11108i	0.0968234	−	0.424211i	0.999987	+	0.00508524i	$0.00161869\pi$
$282$	2.24993	+	9.85757i	0.133981	+	0.587009i
$283$	−13.3779	−	16.7754i	−0.795235	−	0.997194i	−0.999832	−	0.0183471i	$-0.994160\pi$
$283$	−13.3779	−	16.7754i	−0.795235	−	0.997194i	0.204596	−	0.978846i	$-0.434412\pi$
$284$	−10.8975	+	5.24797i	−0.646649	+	0.311410i
$285$	3.68880	−	1.77643i	0.218506	−	0.105227i
$286$	−1.48793	−	6.51903i	−0.0879829	−	0.385478i
$287$	−11.4246	+	14.3260i	−0.674374	+	0.845638i
$288$	−1.28781	−	0.620175i	−0.0758847	−	0.0365441i
$289$	0.181470	−	0.227556i	0.0106747	−	0.0133856i
$290$	1.15796	−	5.07337i	0.0679979	−	0.297918i
$291$	13.8824	−	6.68541i	0.813801	−	0.391906i
$292$	−0.0917988	+	0.402197i	−0.00537212	+	0.0235368i
$293$	1.50050	+	0.722603i	0.0876602	+	0.0422149i	0.477200	−	0.878795i	$-0.341652\pi$
$293$	1.50050	+	0.722603i	0.0876602	+	0.0422149i	−0.389540	+	0.921010i	$0.627366\pi$
$294$	7.24250			0.422391
$295$	−2.55238			−0.148605
$296$	−0.498528	−	0.240078i	−0.0289763	−	0.0139543i
$297$	1.57877	+	6.91703i	0.0916094	+	0.401367i
$298$	7.65339	+	9.59705i	0.443349	+	0.555942i
$299$	2.06975	−	2.59539i	0.119697	−	0.150095i
$300$	2.10460			0.121509
$301$	−19.7712	+	7.62064i	−1.13959	+	0.439247i
$302$	4.14395			0.238458
$303$	−19.5333	+	24.4940i	−1.12216	+	1.40715i
$304$	1.21293	+	1.52096i	0.0695661	+	0.0872332i
$305$	−1.62613	−	7.12453i	−0.0931117	−	0.407949i
$306$	−5.35502	−	2.57884i	−0.306126	−	0.147423i
$307$	29.9699			1.71047			0.855236	−	0.518239i	$-0.173412\pi$
$307$	29.9699			1.71047			0.855236	+	0.518239i	$0.173412\pi$
$308$	6.93547			0.395185
$309$	25.0108	+	12.0446i	1.42282	+	0.685192i
$310$	1.13317	−	4.96473i	0.0643596	−	0.281978i
$311$	−18.2882	+	8.80711i	−1.03703	+	0.499406i	−0.873342	−	0.487107i	$-0.838052\pi$
$311$	−18.2882	+	8.80711i	−1.03703	+	0.499406i	−0.163684	+	0.986513i	$0.552338\pi$
$312$	−1.45899	+	6.39225i	−0.0825990	+	0.361890i
$313$	0.639609	−	0.802044i	0.0361528	−	0.0453342i	−0.763426	−	0.645895i	$-0.776484\pi$
$313$	0.639609	−	0.802044i	0.0361528	−	0.0453342i	0.799579	+	0.600561i	$0.205056\pi$
$314$	9.91327	+	4.77398i	0.559438	+	0.269411i
$315$	−2.87969	+	3.61102i	−0.162252	+	0.203458i
$316$	3.92072	+	17.1778i	0.220558	+	0.966328i
$317$	−24.8355	+	11.9601i	−1.39490	+	0.671748i	−0.972120	−	0.234485i	$-0.924660\pi$
$317$	−24.8355	+	11.9601i	−1.39490	+	0.671748i	−0.422779	+	0.906233i	$0.638945\pi$
$318$	−5.72471	+	2.75687i	−0.321026	+	0.154598i
$319$	6.96390	+	8.73246i	0.389904	+	0.488924i
$320$	0.222521	+	0.974928i	0.0124393	+	0.0545001i
$321$	−2.90104	+	12.7103i	−0.161920	+	0.709420i
$322$	2.14676	+	2.69196i	0.119634	+	0.150017i
$323$	5.04365	+	6.32454i	0.280636	+	0.351907i
$324$	2.50225	−	10.9631i	0.139014	−	0.609060i
$325$	−0.693237	−	3.03727i	−0.0384539	−	0.168477i
$326$	0.877888	+	1.10084i	0.0486217	+	0.0609697i
$327$	−22.1314	+	10.6579i	−1.22387	+	0.589383i
$328$	5.10912	−	2.46042i	0.282104	−	0.135854i
$329$	3.45441	+	15.1348i	0.190448	+	0.834407i
$330$	−2.81643	+	3.53169i	−0.155039	+	0.194413i
$331$	−22.7625	−	10.9618i	−1.25114	−	0.602517i	−0.313323	−	0.949647i	$-0.601442\pi$
$331$	−22.7625	−	10.9618i	−1.25114	−	0.602517i	−0.937817	+	0.347129i	$0.887156\pi$
$332$	−0.737415	+	0.924689i	−0.0404709	+	0.0507489i
$333$	−0.175991	+	0.771068i	−0.00964426	+	0.0422542i
$334$	17.2178	−	8.29166i	0.942116	−	0.453699i
$335$	1.70162	−	7.45530i	0.0929697	−	0.407327i
$336$	−6.12712	−	2.95067i	−0.334262	−	0.160972i
$337$	−15.1501			−0.825276			−0.412638	−	0.910895i	$-0.635393\pi$
$337$	−15.1501			−0.825276			−0.412638	+	0.910895i	$0.635393\pi$
$338$	−3.29442			−0.179193
$339$	11.8198	+	5.69213i	0.641965	+	0.309154i
$340$	0.925298	+	4.05400i	0.0501813	+	0.219859i
$341$	6.81479	+	8.54547i	0.369041	+	0.462763i
$342$	1.73371	−	2.17400i	0.0937480	−	0.117556i
$343$	−11.4993			−0.620905
$344$	6.53599	+	0.529954i	0.352397	+	0.0285732i
$345$	−2.24258			−0.120737
$346$	1.99100	−	2.49664i	0.107037	−	0.134220i
$347$	10.5878	+	13.2767i	0.568382	+	0.712728i	0.980083	−	0.198591i	$-0.0636364\pi$
$347$	10.5878	+	13.2767i	0.568382	+	0.712728i	−0.411701	+	0.911319i	$0.635065\pi$
$348$	−2.43705	−	10.6774i	−0.130640	−	0.572370i
$349$	−5.41202	−	2.60629i	−0.289699	−	0.139512i	0.283390	−	0.959005i	$-0.408541\pi$
$349$	−5.41202	−	2.60629i	−0.289699	−	0.139512i	−0.573089	+	0.819493i	$0.694255\pi$
$350$	3.23129			0.172720
$351$	−10.2981			−0.549674
$352$	−1.93379	−	0.931264i	−0.103071	−	0.0496365i
$353$	2.81576	−	12.3366i	0.149868	−	0.656613i	−0.843053	−	0.537831i	$-0.819244\pi$
$353$	2.81576	−	12.3366i	0.149868	−	0.656613i	0.992920	−	0.118782i	$-0.0378989\pi$
$354$	−4.83978	+	2.33071i	−0.257231	+	0.123876i
$355$	2.69146	−	11.7921i	0.142848	−	0.625858i
$356$	−5.12076	+	6.42123i	−0.271400	+	0.340325i
$357$	−25.4781	−	12.2696i	−1.34845	−	0.649377i
$358$	−15.1865	+	19.0433i	−0.802632	+	1.00647i
$359$	−2.56521	−	11.2389i	−0.135386	−	0.593167i	−0.996414	−	0.0846089i	$-0.973036\pi$
$359$	−2.56521	−	11.2389i	−0.135386	−	0.593167i	0.861028	−	0.508558i	$-0.169821\pi$
$360$	1.28781	−	0.620175i	0.0678733	−	0.0326861i
$361$	13.7087	−	6.60175i	0.721509	−	0.347461i
$362$	−11.8429	−	14.8506i	−0.622451	−	0.780529i
$363$	2.99405	+	13.1178i	0.157147	+	0.688507i
$364$	−2.24005	+	9.81431i	−0.117411	+	0.514410i
$365$	−0.257214	−	0.322537i	−0.0134632	−	0.0168823i
$366$	−9.58922	−	12.0245i	−0.501236	−	0.628531i
$367$	1.43068	−	6.26822i	0.0746809	−	0.327198i	−0.923763	−	0.382965i	$-0.874903\pi$
$367$	1.43068	−	6.26822i	0.0746809	−	0.327198i	0.998444	+	0.0557665i	$0.0177602\pi$
$368$	−0.237110	−	1.03884i	−0.0123602	−	0.0541535i
$369$	−5.05366	−	6.33709i	−0.263083	−	0.329896i
$370$	0.498528	−	0.240078i	0.0259172	−	0.0124811i
$371$	−8.78940	+	4.23275i	−0.456323	+	0.219754i
$372$	−2.38487	−	10.4488i	−0.123650	−	0.541745i
$373$	−15.4905	+	19.4244i	−0.802066	+	1.00576i	0.197609	+	0.980281i	$0.436682\pi$
$373$	−15.4905	+	19.4244i	−0.802066	+	1.00576i	−0.999675	+	0.0254785i	$0.991889\pi$
$374$	−8.04118	−	3.87243i	−0.415800	−	0.200239i
$375$	−1.31220	+	1.64545i	−0.0677617	+	0.0849704i
$376$	1.06905	−	4.68381i	0.0551320	−	0.241549i
$377$	−14.6064	+	7.03409i	−0.752270	+	0.362274i
$378$	2.37681	−	10.4135i	0.122250	−	0.535613i
$379$	19.3641	+	9.32524i	0.994665	+	0.479005i	0.859125	−	0.511767i	$-0.171009\pi$
$379$	19.3641	+	9.32524i	0.994665	+	0.479005i	0.135540	+	0.990772i	$0.456723\pi$
$380$	−1.94538			−0.0997961
$381$	−7.27913			−0.372921
$382$	9.10610	+	4.38527i	0.465909	+	0.224370i
$383$	−5.97316	−	26.1701i	−0.305214	−	1.33723i	−0.862140	−	0.506670i	$-0.830876\pi$
$383$	−5.97316	−	26.1701i	−0.305214	−	1.33723i	0.556926	−	0.830562i	$-0.311981\pi$
$384$	1.31220	+	1.64545i	0.0669629	+	0.0839688i
$385$	−4.32420	+	5.42237i	−0.220381	+	0.276350i
$386$	22.2156			1.13074
$387$	−1.34035	−	9.27659i	−0.0681337	−	0.471555i
$388$	−7.32124			−0.371680
$389$	−4.80560	+	6.02604i	−0.243654	+	0.305532i	−0.888588	−	0.458706i	$-0.848313\pi$
$389$	−4.80560	+	6.02604i	−0.243654	+	0.305532i	0.644934	+	0.764238i	$0.276885\pi$
$390$	−4.08800	−	5.12618i	−0.207004	−	0.259574i
$391$	−0.985961	−	4.31978i	−0.0498622	−	0.218461i
$392$	−3.10047	−	1.49311i	−0.156597	−	0.0754134i
$393$	35.4392			1.78767
$394$	27.9208			1.40663
$395$	−15.8747	−	7.64485i	−0.798742	−	0.384654i
$396$	−0.682670	+	2.99097i	−0.0343055	+	0.150302i
$397$	−16.8732	+	8.12571i	−0.846843	+	0.407818i	−0.806405	−	0.591364i	$-0.798590\pi$
$397$	−16.8732	+	8.12571i	−0.846843	+	0.407818i	−0.0404380	+	0.999182i	$0.512875\pi$
$398$	3.39154	−	14.8593i	0.170002	−	0.744829i
$399$	8.24862	−	10.3434i	0.412948	−	0.517820i
$400$	−0.900969	−	0.433884i	−0.0450484	−	0.0216942i
$401$	−2.96938	+	3.72349i	−0.148284	+	0.185942i	−0.850426	−	0.526095i	$-0.823656\pi$
$401$	−2.96938	+	3.72349i	−0.148284	+	0.185942i	0.702142	+	0.712037i	$0.252227\pi$
$402$	−3.58124	−	15.6905i	−0.178616	−	0.782569i
$403$	−14.2937	+	6.88347i	−0.712019	+	0.342890i
$404$	13.4118	−	6.45878i	0.667261	−	0.321336i
$405$	7.01115	+	8.79170i	0.348387	+	0.436863i
$406$	−3.74172	−	16.3935i	−0.185698	−	0.813598i
$407$	−0.264271	+	1.15785i	−0.0130994	+	0.0573924i
$408$	5.45645	+	6.84218i	0.270135	+	0.338738i
$409$	7.42575	+	9.31159i	0.367179	+	0.460428i	0.930759	−	0.365633i	$-0.119148\pi$
$409$	7.42575	+	9.31159i	0.367179	+	0.460428i	−0.563579	+	0.826062i	$0.690576\pi$
$410$	−1.26185	+	5.52851i	−0.0623182	+	0.273034i
$411$	3.43506	+	15.0500i	0.169439	+	0.742361i
$412$	−8.22389	−	10.3124i	−0.405162	−	0.508057i
$413$	−7.43073	+	3.57845i	−0.365643	+	0.176084i
$414$	−1.37224	+	0.660834i	−0.0674417	+	0.0324782i
$415$	−0.263180	−	1.15307i	−0.0129190	−	0.0566019i
$416$	1.94241	−	2.43570i	0.0952343	−	0.119420i
$417$	−33.6788	−	16.2188i	−1.64926	−	0.794240i
$418$	2.60336	−	3.26451i	0.127334	−	0.159672i
$419$	2.38065	−	10.4303i	0.116303	−	0.509555i	−0.882898	−	0.469566i	$-0.844411\pi$
$419$	2.38065	−	10.4303i	0.116303	−	0.509555i	0.999200	−	0.0399891i	$-0.0127323\pi$
$420$	6.12712	−	2.95067i	0.298973	−	0.143978i
$421$	−6.12675	+	26.8430i	−0.298599	+	1.30825i	0.573615	+	0.819125i	$0.305541\pi$
$421$	−6.12675	+	26.8430i	−0.298599	+	1.30825i	−0.872214	+	0.489124i	$0.837316\pi$
$422$	−23.6903	−	11.4087i	−1.15323	−	0.555365i
$423$	−6.86701			−0.333885
$424$	3.01907			0.146619
$425$	−3.74646	−	1.80420i	−0.181730	−	0.0875164i
$426$	−5.66447	−	24.8176i	−0.274444	−	1.20242i
$427$	−14.7228	−	18.4618i	−0.712484	−	0.893427i
$428$	3.86227	−	4.84313i	0.186690	−	0.234101i
$429$	14.0728			0.679441
$430$	−4.48946	+	4.77962i	−0.216501	+	0.230494i
$431$	22.1595			1.06739			0.533693	−	0.845678i	$-0.320804\pi$
$431$	22.1595			1.06739			0.533693	+	0.845678i	$0.320804\pi$
$432$	−2.06100	+	2.58441i	−0.0991597	+	0.124342i
$433$	7.40361	+	9.28384i	0.355795	+	0.446153i	0.927229	−	0.374495i	$-0.122184\pi$
$433$	7.40361	+	9.28384i	0.355795	+	0.446153i	−0.571434	+	0.820648i	$0.693613\pi$
$434$	−3.66160	−	16.0425i	−0.175762	−	0.770065i
$435$	9.86743	+	4.75190i	0.473107	+	0.227836i
$436$	11.6715			0.558965
$437$	2.07292			0.0991614
$438$	−0.782251	−	0.376712i	−0.0373774	−	0.0180000i
$439$	0.649790	−	2.84692i	0.0310128	−	0.135876i	−0.957052	−	0.289918i	$-0.906372\pi$
$439$	0.649790	−	2.84692i	0.0310128	−	0.135876i	0.988064	+	0.154042i	$0.0492291\pi$
$440$	1.93379	−	0.931264i	0.0921898	−	0.0443963i
$441$	−1.09453	+	4.79547i	−0.0521207	+	0.228356i
$442$	8.07701	−	10.1283i	0.384184	−	0.481752i
$443$	−2.55279	−	1.22936i	−0.121287	−	0.0584086i	0.372256	−	0.928130i	$-0.378584\pi$
$443$	−2.55279	−	1.22936i	−0.121287	−	0.0584086i	−0.493543	+	0.869721i	$0.664298\pi$
$444$	0.726071	−	0.910464i	0.0344578	−	0.0432087i
$445$	−1.82758	−	8.00715i	−0.0866356	−	0.379575i
$446$	−4.08926	+	1.96929i	−0.193632	+	0.0932484i
$447$	−23.2758	+	11.2090i	−1.10091	+	0.530169i
$448$	2.01468	+	2.52633i	0.0951846	+	0.119358i
$449$	−5.20875	−	22.8210i	−0.245816	−	1.07699i	−0.935624	−	0.352999i	$-0.885162\pi$
$449$	−5.20875	−	22.8210i	−0.245816	−	1.07699i	0.689808	−	0.723993i	$-0.257695\pi$
$450$	−0.318062	+	1.39352i	−0.0149936	+	0.0656911i
$451$	−7.58865	−	9.51587i	−0.357336	−	0.448085i
$452$	−3.88651	−	4.87354i	−0.182806	−	0.229232i
$453$	−1.94069	+	8.50271i	−0.0911815	+	0.399492i
$454$	2.14199	+	9.38469i	0.100529	+	0.440445i
$455$	−6.27649	−	7.87046i	−0.294246	−	0.368973i
$456$	−3.68880	+	1.77643i	−0.172744	+	0.0831891i
$457$	16.5440	−	7.96719i	0.773898	−	0.372690i	−0.00488109	−	0.999988i	$-0.501554\pi$
$457$	16.5440	−	7.96719i	0.773898	−	0.372690i	0.778779	+	0.627299i	$0.215839\pi$
$458$	−5.33699	−	23.3829i	−0.249381	−	1.09261i
$459$	−8.57014	+	10.7466i	−0.400020	+	0.501609i
$460$	0.960037	+	0.462329i	0.0447620	+	0.0215562i
$461$	−1.08620	+	1.36205i	−0.0505893	+	0.0634370i	−0.806482	−	0.591258i	$-0.798631\pi$
$461$	−1.08620	+	1.36205i	−0.0505893	+	0.0634370i	0.755893	+	0.654695i	$0.227203\pi$
$462$	−3.24801	+	14.2305i	−0.151111	+	0.662061i
$463$	24.7039	−	11.8968i	1.14809	−	0.552891i	0.239630	−	0.970864i	$-0.422974\pi$
$463$	24.7039	−	11.8968i	1.14809	−	0.552891i	0.908459	+	0.417974i	$0.137260\pi$
$464$	−1.15796	+	5.07337i	−0.0537571	+	0.235525i
$465$	9.65614	+	4.65015i	0.447793	+	0.215646i
$466$	14.8266			0.686830
$467$	29.0508			1.34431			0.672156	−	0.740410i	$-0.265368\pi$
$467$	29.0508			1.34431			0.672156	+	0.740410i	$0.265368\pi$
$468$	−4.01200	−	1.93208i	−0.185455	−	0.0893103i
$469$	−5.49845	−	24.0903i	−0.253895	−	1.11239i
$470$	2.99541	+	3.75612i	0.138168	+	0.173257i
$471$	−14.4380	+	18.1047i	−0.665268	+	0.834219i
$472$	2.55238			0.117483
$473$	−2.01269	−	13.9299i	−0.0925434	−	0.640496i
$474$	−37.0822			−1.70324
$475$	1.21293	−	1.52096i	0.0556529	−	0.0697865i
$476$	8.37754	+	10.5051i	0.383984	+	0.481501i
$477$	−0.960251	−	4.20713i	−0.0439669	−	0.192631i
$478$	10.0758	+	4.85226i	0.460858	+	0.221937i
$479$	−6.61957			−0.302456			−0.151228	−	0.988499i	$-0.548323\pi$
$479$	−6.61957			−0.302456			−0.151228	+	0.988499i	$0.548323\pi$
$480$	−2.10460			−0.0960616
$481$	−1.55310	−	0.747934i	−0.0708153	−	0.0341029i
$482$	5.50975	−	24.1398i	0.250962	−	1.09954i
$483$	−6.52882	+	3.14411i	−0.297072	+	0.143062i
$484$	1.42262	−	6.23291i	0.0646646	−	0.283314i
$485$	4.56472	−	5.72398i	0.207273	−	0.259912i
$486$	12.3879	+	5.96570i	0.561927	+	0.270610i
$487$	−12.9508	+	16.2398i	−0.586858	+	0.735896i	−0.983266	−	0.182178i	$-0.941685\pi$
$487$	−12.9508	+	16.2398i	−0.586858	+	0.735896i	0.396408	+	0.918075i	$0.370257\pi$
$488$	1.62613	+	7.12453i	0.0736113	+	0.322512i
$489$	−2.66987	+	1.28574i	−0.120736	+	0.0581432i
$490$	3.10047	−	1.49311i	0.140065	−	0.0674518i
$491$	−10.3976	−	13.0382i	−0.469237	−	0.588405i	0.489747	−	0.871865i	$-0.337089\pi$
$491$	−10.3976	−	13.0382i	−0.469237	−	0.588405i	−0.958984	+	0.283460i	$0.908518\pi$
$492$	2.65569	+	11.6353i	0.119728	+	0.524561i
$493$	−4.81510	+	21.0963i	−0.216861	+	0.950131i
$494$	3.77873	+	4.73837i	0.170013	+	0.213189i
$495$	−1.91280	−	2.39857i	−0.0859739	−	0.107808i
$496$	−1.13317	+	4.96473i	−0.0508807	+	0.222923i
$497$	−8.69691	−	38.1037i	−0.390110	−	1.70918i
$498$	−1.55197	−	1.94610i	−0.0695453	−	0.0872070i
$499$	−13.8691	+	6.67900i	−0.620865	+	0.298993i	−0.717748	−	0.696303i	$-0.754827\pi$
$499$	−13.8691	+	6.67900i	−0.620865	+	0.298993i	0.0968828	+	0.995296i	$0.469113\pi$
$500$	0.900969	−	0.433884i	0.0402926	−	0.0194039i
$501$	8.94971	+	39.2113i	0.399844	+	1.75183i
$502$	−13.7185	+	17.2025i	−0.612287	+	0.767783i
$503$	−1.91528	−	0.922349i	−0.0853980	−	0.0411255i	0.390697	−	0.920519i	$-0.372234\pi$
$503$	−1.91528	−	0.922349i	−0.0853980	−	0.0411255i	−0.476095	+	0.879394i	$0.657948\pi$
$504$	2.87969	−	3.61102i	0.128272	−	0.160848i
$505$	−3.31244	+	14.5127i	−0.147402	+	0.645808i
$506$	−2.06057	+	0.992318i	−0.0916035	+	0.0441139i
$507$	1.54284	−	6.75962i	0.0685198	−	0.300205i
$508$	3.11616	+	1.50066i	0.138257	+	0.0665811i
$509$	−21.0177			−0.931593			−0.465796	−	0.884892i	$-0.654232\pi$
$509$	−21.0177			−0.931593			−0.465796	+	0.884892i	$0.654232\pi$
$510$	−8.75147			−0.387522
$511$	−1.20103	−	0.578384i	−0.0531303	−	0.0255862i
$512$	−0.222521	−	0.974928i	−0.00983413	−	0.0430861i
$513$	−4.00943	−	5.02766i	−0.177021	−	0.221977i
$514$	4.63687	−	5.81445i	0.204523	−	0.256464i
$515$	13.1901			0.581225
$516$	−4.14830	+	13.1626i	−0.182619	+	0.579451i
$517$	−10.3116			−0.453504
$518$	1.11477	−	1.39788i	0.0489802	−	0.0614192i
$519$	4.19027	+	5.25444i	0.183933	+	0.230644i
$520$	0.693237	+	3.03727i	0.0304004	+	0.133193i
$521$	22.1287	+	10.6566i	0.969476	+	0.466875i	0.850473	−	0.526019i	$-0.176316\pi$
$521$	22.1287	+	10.6566i	0.969476	+	0.466875i	0.119003	+	0.992894i	$0.462030\pi$
$522$	7.43814			0.325559
$523$	−10.3244			−0.451453			−0.225726	−	0.974191i	$-0.572476\pi$
$523$	−10.3244			−0.451453			−0.225726	+	0.974191i	$0.572476\pi$
$524$	−15.1713	−	7.30613i	−0.662763	−	0.319170i
$525$	−1.51327	+	6.63009i	−0.0660447	+	0.289361i
$526$	14.4298	−	6.94901i	0.629167	−	0.302991i
$527$	−4.71200	+	20.6446i	−0.205258	+	0.899293i
$528$	2.81643	−	3.53169i	0.122569	−	0.153697i
$529$	19.6993	+	9.48669i	0.856492	+	0.412465i
$530$	−1.88236	+	2.36040i	−0.0817645	+	0.102529i
$531$	−0.811815	−	3.55679i	−0.0352298	−	0.154352i
$532$	−5.66359	+	2.72744i	−0.245548	+	0.118250i
$533$	15.9168	−	7.66514i	0.689434	−	0.332014i
$534$	−10.7772	−	13.5142i	−0.466374	−	0.584815i
$535$	1.37843	+	6.03928i	0.0595946	+	0.261101i
$536$	−1.70162	+	7.45530i	−0.0734990	+	0.322020i
$537$	−31.9616	−	40.0786i	−1.37924	−	1.72952i
$538$	12.5954	+	15.7941i	0.543026	+	0.680933i
$539$	−1.64357	+	7.20095i	−0.0707936	+	0.310167i
$540$	−0.735561	−	3.22270i	−0.0316535	−	0.138683i
$541$	9.22633	+	11.5695i	0.396671	+	0.497410i	0.939555	−	0.342398i	$-0.111239\pi$
$541$	9.22633	+	11.5695i	0.396671	+	0.497410i	−0.542884	+	0.839808i	$0.682668\pi$
$542$	20.0373	−	9.64945i	0.860675	−	0.414479i
$543$	36.0172	−	17.3450i	1.54565	−	0.744344i
$544$	−0.925298	−	4.05400i	−0.0396718	−	0.173814i
$545$	−7.27708	+	9.12517i	−0.311716	+	0.390879i
$546$	−19.0883	−	9.19244i	−0.816904	−	0.393400i
$547$	14.7867	−	18.5419i	0.632232	−	0.792794i	−0.357776	−	0.933807i	$-0.616465\pi$
$547$	14.7867	−	18.5419i	0.632232	−	0.792794i	0.990008	+	0.141014i	$0.0450362\pi$
$548$	1.63217	−	7.15099i	0.0697227	−	0.305475i
$549$	9.41096	−	4.53208i	0.401650	−	0.193424i
$550$	−0.477607	+	2.09253i	−0.0203652	+	0.0892258i
$551$	−9.12092	−	4.39241i	−0.388564	−	0.187123i
$552$	2.24258			0.0954507
$553$	−56.9340			−2.42108
$554$	−1.56015	−	0.751329i	−0.0662845	−	0.0319209i
$555$	0.259132	+	1.13533i	0.0109995	+	0.0481921i
$556$	11.0740	+	13.8864i	0.469643	+	0.588914i
$557$	−15.7845	+	19.7931i	−0.668809	+	0.838660i	−0.994270	−	0.106896i	$-0.965909\pi$
$557$	−15.7845	+	19.7931i	−0.668809	+	0.838660i	0.325462	+	0.945555i	$0.394480\pi$
$558$	7.27887			0.308139
$559$	20.3621	+	1.65101i	0.861224	+	0.0698301i
$560$	−3.23129			−0.136547
$561$	11.7114	−	14.6857i	0.494457	−	0.620029i
$562$	−4.54770	−	5.70264i	−0.191833	−	0.240551i
$563$	9.84585	+	43.1375i	0.414953	+	1.81803i	0.559866	+	0.828583i	$0.310853\pi$
$563$	9.84585	+	43.1375i	0.414953	+	1.81803i	−0.144913	+	0.989444i	$0.546290\pi$
$564$	9.10976	+	4.38703i	0.383590	+	0.184727i
$565$	6.23349			0.262245
$566$	−21.4565			−0.901885
$567$	32.7375	+	15.7656i	1.37485	+	0.662092i
$568$	−2.69146	+	11.7921i	−0.112931	+	0.494785i
$569$	−42.2381	+	20.3408i	−1.77071	+	0.852730i	−0.804932	+	0.593367i	$0.797798\pi$
$569$	−42.2381	+	20.3408i	−1.77071	+	0.852730i	−0.965780	+	0.259363i	$0.916488\pi$
$570$	0.911059	−	3.99161i	0.0381601	−	0.167190i
$571$	11.4270	−	14.3290i	0.478206	−	0.599651i	−0.482953	−	0.875646i	$-0.660436\pi$
$571$	11.4270	−	14.3290i	0.478206	−	0.599651i	0.961159	+	0.275995i	$0.0890073\pi$
$572$	−6.02449	−	2.90124i	−0.251896	−	0.121307i
$573$	−13.2624	+	16.6305i	−0.554045	+	0.694750i
$574$	4.07740	+	17.8643i	0.170187	+	0.745640i
$575$	−0.960037	+	0.462329i	−0.0400363	+	0.0192805i
$576$	−1.28781	+	0.620175i	−0.0536586	+	0.0258406i
$577$	−9.41174	−	11.8019i	−0.391816	−	0.491321i	0.546326	−	0.837573i	$-0.316026\pi$
$577$	−9.41174	−	11.8019i	−0.391816	−	0.491321i	−0.938142	+	0.346251i	$0.887455\pi$
$578$	−0.0647657	−	0.283757i	−0.00269390	−	0.0118027i
$579$	−10.4040	+	45.5827i	−0.432374	+	1.89435i
$580$	−3.24454	−	4.06852i	−0.134722	−	0.168936i
$581$	−2.38280	−	2.98794i	−0.0988554	−	0.123961i
$582$	3.42867	−	15.0220i	0.142123	−	0.622681i
$583$	−1.44193	−	6.31750i	−0.0597185	−	0.261644i
$584$	0.257214	+	0.322537i	0.0106436	+	0.0133467i
$585$	4.01200	−	1.93208i	0.165876	−	0.0798816i
$586$	1.50050	−	0.722603i	0.0619851	−	0.0298505i
$587$	−8.71701	−	38.1917i	−0.359790	−	1.57634i	−0.753717	−	0.657200i	$-0.771741\pi$
$587$	−8.71701	−	38.1917i	−0.359790	−	1.57634i	0.393927	−	0.919142i	$-0.371116\pi$
$588$	4.51562	−	5.66241i	0.186221	−	0.233514i
$589$	−8.92562	−	4.29835i	−0.367774	−	0.177111i
$590$	−1.59138	+	1.99553i	−0.0655162	+	0.0821547i
$591$	−13.0758	+	57.2889i	−0.537867	+	2.35655i
$592$	−0.498528	+	0.240078i	−0.0204894	+	0.00986715i
$593$	3.40417	−	14.9147i	0.139793	−	0.612472i	−0.855687	−	0.517494i	$-0.826865\pi$
$593$	3.40417	−	14.9147i	0.139793	−	0.612472i	0.995479	−	0.0949775i	$-0.0302779\pi$
$594$	6.39230	+	3.07837i	0.262279	+	0.126307i
$595$	−13.4365			−0.550844
$596$	12.2751			0.502807
$597$	28.9005	+	13.9178i	1.18282	+	0.569616i
$598$	−0.738686	−	3.23639i	−0.0302071	−	0.132346i
$599$	20.4216	+	25.6078i	0.834403	+	1.04631i	0.998209	+	0.0598156i	$0.0190513\pi$
$599$	20.4216	+	25.6078i	0.834403	+	1.04631i	−0.163807	+	0.986492i	$0.552377\pi$
$600$	1.31220	−	1.64545i	0.0535703	−	0.0671750i
$601$	−40.7054			−1.66041			−0.830205	−	0.557458i	$-0.811777\pi$
$601$	−40.7054			−1.66041			−0.830205	+	0.557458i	$0.811777\pi$
$602$	−6.36908	+	20.2091i	−0.259584	+	0.823663i
$603$	10.9303			0.445118
$604$	2.58371	−	3.23987i	0.105130	−	0.131828i
$605$	3.98610	+	4.99841i	0.162058	+	0.203214i
$606$	6.97137	+	30.5436i	0.283192	+	1.24075i
$607$	26.5891	+	12.8046i	1.07922	+	0.519725i	0.887067	−	0.461640i	$-0.152739\pi$
$607$	26.5891	+	12.8046i	1.07922	+	0.519725i	0.192152	+	0.981365i	$0.438453\pi$
$608$	1.94538			0.0788957
$609$	35.3892			1.43404
$610$	−6.58405	−	3.17071i	−0.266580	−	0.128378i
$611$	3.33049	−	14.5918i	0.134737	−	0.590323i
$612$	−5.35502	+	2.57884i	−0.216464	+	0.104244i
$613$	−6.87717	+	30.1308i	−0.277766	+	1.21697i	0.622844	+	0.782346i	$0.285977\pi$
$613$	−6.87717	+	30.1308i	−0.277766	+	1.21697i	−0.900610	+	0.434627i	$0.856880\pi$
$614$	18.6859	−	23.4314i	0.754102	−	0.945614i
$615$	−10.7527	−	5.17821i	−0.433589	−	0.208806i
$616$	4.32420	−	5.42237i	0.174227	−	0.218474i
$617$	−0.275693	−	1.20789i	−0.0110990	−	0.0486279i	0.969075	−	0.246766i	$-0.0793678\pi$
$617$	−0.275693	−	1.20789i	−0.0110990	−	0.0486279i	−0.980174	+	0.198138i	$0.936511\pi$
$618$	25.0108	−	12.0446i	1.00608	−	0.484504i
$619$	17.8566	−	8.59928i	0.717717	−	0.345634i	−0.0391229	−	0.999234i	$-0.512456\pi$
$619$	17.8566	−	8.59928i	0.717717	−	0.345634i	0.756840	+	0.653600i	$0.226742\pi$
$620$	−3.17507	−	3.98141i	−0.127514	−	0.159897i
$621$	0.783785	+	3.43399i	0.0314522	+	0.137801i
$622$	−4.51680	+	19.7894i	−0.181107	+	0.793483i
$623$	−16.5467	−	20.7489i	−0.662929	−	0.831287i
$624$	4.08800	+	5.12618i	0.163651	+	0.205212i
$625$	−0.222521	+	0.974928i	−0.00890084	+	0.0389971i
$626$	−0.228274	−	1.00013i	−0.00912365	−	0.0399733i
$627$	5.47904	+	6.87050i	0.218812	+	0.274381i
$628$	9.91327	−	4.77398i	0.395583	−	0.190503i
$629$	−2.07300	+	0.998306i	−0.0826560	+	0.0398050i
$630$	1.02775	+	4.50287i	0.0409466	+	0.179399i
$631$	25.6836	−	32.2062i	1.02245	−	1.28211i	0.0636650	−	0.997971i	$-0.479721\pi$
$631$	25.6836	−	32.2062i	1.02245	−	1.28211i	0.958783	−	0.284138i	$-0.0917075\pi$
$632$	15.8747	+	7.64485i	0.631461	+	0.304096i
$633$	34.5033	−	43.2658i	1.37138	−	1.71966i
$634$	−6.13385	+	26.8742i	−0.243606	+	1.06731i
$635$	−3.11616	+	1.50066i	−0.123661	+	0.0595519i
$636$	−1.41389	+	6.19464i	−0.0560642	+	0.245633i
$637$	−9.65914	−	4.65160i	−0.382709	−	0.184303i
$638$	11.1692			0.442194
$639$	17.2885			0.683924
$640$	0.900969	+	0.433884i	0.0356139	+	0.0171508i
$641$	−4.29741	−	18.8282i	−0.169737	−	0.743668i	−0.986103	−	0.166133i	$-0.946872\pi$
$641$	−4.29741	−	18.8282i	−0.169737	−	0.743668i	0.816366	−	0.577535i	$-0.195985\pi$
$642$	8.12854	+	10.1929i	0.320808	+	0.402280i
$643$	10.6050	−	13.2982i	0.418219	−	0.524430i	−0.527439	−	0.849593i	$-0.676848\pi$
$643$	10.6050	−	13.2982i	0.418219	−	0.524430i	0.945658	+	0.325163i	$0.105419\pi$
$644$	3.44314			0.135679
$645$	−7.70451	−	11.4500i	−0.303365	−	0.450844i
$646$	8.08939			0.318273
$647$	0.406619	−	0.509884i	0.0159859	−	0.0200456i	−0.773774	−	0.633461i	$-0.781634\pi$
$647$	0.406619	−	0.509884i	0.0159859	−	0.0200456i	0.789760	+	0.613416i	$0.210205\pi$
$648$	−7.01115	−	8.79170i	−0.275424	−	0.345371i
$649$	−1.21903	−	5.34094i	−0.0478513	−	0.209650i
$650$	−2.80686	−	1.35171i	−0.110094	−	0.0530185i
$651$	34.6314			1.35731
$652$	1.40802			0.0551424
$653$	30.3118	+	14.5974i	1.18619	+	0.571240i	0.919710	−	0.392599i	$-0.128424\pi$
$653$	30.3118	+	14.5974i	1.18619	+	0.571240i	0.266483	+	0.963840i	$0.414138\pi$
$654$	−5.46599	+	23.9481i	−0.213737	+	0.936444i
$655$	15.1713	−	7.30613i	0.592793	−	0.285474i
$656$	1.26185	−	5.52851i	0.0492669	−	0.215852i
$657$	0.367651	−	0.461020i	0.0143434	−	0.0179861i
$658$	13.9866	+	6.73561i	0.545256	+	0.262581i
$659$	27.8209	−	34.8863i	1.08375	−	1.35898i	0.155150	−	0.987891i	$-0.450414\pi$
$659$	27.8209	−	34.8863i	1.08375	−	1.35898i	0.928598	−	0.371086i	$-0.121015\pi$
$660$	1.00517	+	4.40395i	0.0391263	+	0.171423i
$661$	−5.96615	+	2.87315i	−0.232056	+	0.111752i	−0.546299	−	0.837590i	$-0.683964\pi$
$661$	−5.96615	+	2.87315i	−0.232056	+	0.111752i	0.314243	+	0.949343i	$0.398249\pi$
$662$	−22.7625	+	10.9618i	−0.884690	+	0.426044i
$663$	16.9989	+	21.3160i	0.660183	+	0.827843i
$664$	0.263180	+	1.15307i	0.0102134	+	0.0447477i
$665$	1.39879	−	6.12850i	0.0542428	−	0.237653i
$666$	0.493116	+	0.618348i	0.0191079	+	0.0239605i
$667$	3.45725	+	4.33526i	0.133865	+	0.167862i
$668$	4.25245	−	18.6312i	0.164532	−	0.720862i
$669$	−2.12558	−	9.31276i	−0.0821795	−	0.360052i
$670$	−4.76784	−	5.97869i	−0.184198	−	0.230977i
$671$	14.1316	−	6.80544i	0.545546	−	0.262721i
$672$	−6.12712	+	2.95067i	−0.236359	+	0.113824i
$673$	−2.20483	−	9.66001i	−0.0849901	−	0.372366i	0.914490	−	0.404609i	$-0.132592\pi$
$673$	−2.20483	−	9.66001i	−0.0849901	−	0.372366i	−0.999480	+	0.0322426i	$0.989735\pi$
$674$	−9.44590	+	11.8448i	−0.363843	+	0.456244i
$675$	2.97823	+	1.43424i	0.114632	+	0.0552039i
$676$	−2.05404	+	2.57568i	−0.0790015	+	0.0990647i
$677$	11.3034	−	49.5234i	0.434424	−	1.90334i	0.00552623	−	0.999985i	$-0.498241\pi$
$677$	11.3034	−	49.5234i	0.434424	−	1.90334i	0.428898	−	0.903353i	$-0.358902\pi$
$678$	11.8198	−	5.69213i	0.453938	−	0.218605i
$679$	5.26420	−	23.0639i	0.202021	−	0.885113i
$680$	3.74646	+	1.80420i	0.143670	+	0.0691878i
$681$	−20.2590			−0.776326
$682$	10.9301			0.418534
$683$	−8.23721	−	3.96683i	−0.315188	−	0.151787i	0.269601	−	0.962972i	$-0.413108\pi$
$683$	−8.23721	−	3.96683i	−0.315188	−	0.151787i	−0.584789	+	0.811186i	$0.698823\pi$
$684$	−0.618752	−	2.71093i	−0.0236586	−	0.103655i
$685$	4.57323	+	5.73465i	0.174734	+	0.219110i
$686$	−7.16971	+	8.99054i	−0.273741	+	0.343260i
$687$	50.4773			1.92583
$688$	4.48946	−	4.77962i	0.171159	−	0.182221i
$689$	9.40554			0.358323
$690$	−1.39823	+	1.75332i	−0.0532296	+	0.0667478i
$691$	10.9690	+	13.7547i	0.417280	+	0.523252i	0.945398	−	0.325919i	$-0.105674\pi$
$691$	10.9690	+	13.7547i	0.417280	+	0.523252i	−0.528118	+	0.849171i	$0.677102\pi$
$692$	−0.710581	−	3.11326i	−0.0270122	−	0.118348i
$693$	−8.93154	−	4.30120i	−0.339281	−	0.163389i
$694$	16.9815			0.644608
$695$	−17.7613			−0.673726
$696$	−9.86743	−	4.75190i	−0.374024	−	0.180120i
$697$	5.24708	−	22.9890i	0.198747	−	0.870769i
$698$	−5.41202	+	2.60629i	−0.204848	+	0.0986496i
$699$	−6.94358	+	30.4218i	−0.262630	+	1.15066i
$700$	2.01468	−	2.52633i	0.0761477	−	0.0954862i
$701$	−23.3534	−	11.2464i	−0.882044	−	0.424770i	−0.0626736	−	0.998034i	$-0.519963\pi$
$701$	−23.3534	−	11.2464i	−0.882044	−	0.424770i	−0.819371	+	0.573264i	$0.805677\pi$
$702$	−6.42078	+	8.05141i	−0.242337	+	0.303881i
$703$	−0.239528	−	1.04944i	−0.00903395	−	0.0395803i
$704$	−1.93379	+	0.931264i	−0.0728824	+	0.0350983i
$705$	−9.10976	+	4.38703i	−0.343093	+	0.165225i
$706$	−7.88957	−	9.89321i	−0.296928	−	0.372336i
$707$	10.7035	+	46.8949i	0.402545	+	1.76367i
$708$	−1.19533	+	5.23707i	−0.0449231	+	0.196821i
$709$	−26.0155	−	32.6224i	−0.977031	−	1.22516i	−0.974321	−	0.225162i	$-0.927709\pi$
$709$	−26.0155	−	32.6224i	−0.977031	−	1.22516i	−0.00270965	−	0.999996i	$-0.500863\pi$
$710$	−7.54132	−	9.45651i	−0.283021	−	0.354897i
$711$	5.60411	−	24.5532i	0.210171	−	0.920818i
$712$	1.82758	+	8.00715i	0.0684914	+	0.300081i
$713$	3.38323	+	4.24243i	0.126703	+	0.158880i
$714$	−25.4781	+	12.2696i	−0.953495	+	0.459179i
$715$	6.02449	−	2.90124i	0.225303	−	0.108500i
$716$	5.42000	+	23.7466i	0.202555	+	0.887452i
$717$	−14.6747	+	18.4016i	−0.548039	+	0.687219i
$718$	−10.3863	−	5.00178i	−0.387614	−	0.186665i
$719$	−0.0417702	+	0.0523782i	−0.00155777	+	0.00195338i	−0.782610	−	0.622513i	$-0.786112\pi$
$719$	−0.0417702	+	0.0523782i	−0.00155777	+	0.00195338i	0.781052	+	0.624466i	$0.214683\pi$
$720$	0.318062	−	1.39352i	0.0118535	−	0.0519334i
$721$	38.4003	−	18.4926i	1.43010	−	0.688700i
$722$	3.38576	−	14.8340i	0.126005	−	0.552064i
$723$	46.9506	+	22.6102i	1.74611	+	0.840883i
$724$	−18.9946			−0.705929
$725$	5.20384			0.193266
$726$	12.1227	+	5.83798i	0.449915	+	0.216668i
$727$	−7.13297	−	31.2516i	−0.264547	−	1.15906i	−0.916258	−	0.400589i	$-0.868805\pi$
$727$	−7.13297	−	31.2516i	−0.264547	−	1.15906i	0.651710	−	0.758468i	$-0.274052\pi$
$728$	6.27649	+	7.87046i	0.232622	+	0.291699i
$729$	2.99131	−	3.75099i	0.110789	−	0.138925i
$730$	−0.412540			−0.0152688
$731$	18.6683	−	19.8749i	0.690472	−	0.735098i
$732$	−15.3799			−0.568458
$733$	−30.2598	+	37.9446i	−1.11767	+	1.40151i	−0.212136	+	0.977240i	$0.568042\pi$
$733$	−30.2598	+	37.9446i	−1.11767	+	1.40151i	−0.905534	+	0.424274i	$0.860529\pi$
$734$	−4.00867	−	5.02672i	−0.147963	−	0.185540i
$735$	1.61161	+	7.06091i	0.0594450	+	0.260446i
$736$	−0.960037	−	0.462329i	−0.0353874	−	0.0170417i
$737$	16.4132			0.604587
$738$	−8.10544			−0.298365
$739$	−8.48520	−	4.08626i	−0.312133	−	0.150315i	0.271258	−	0.962507i	$-0.412560\pi$
$739$	−8.48520	−	4.08626i	−0.312133	−	0.150315i	−0.583391	+	0.812191i	$0.698275\pi$
$740$	0.123126	−	0.539451i	0.00452621	−	0.0198306i
$741$	−11.4920	+	5.53426i	−0.422170	+	0.203306i
$742$	−2.17080	+	9.51091i	−0.0796927	+	0.349157i
$743$	6.61581	−	8.29596i	0.242710	−	0.304349i	−0.645524	−	0.763740i	$-0.723361\pi$
$743$	6.61581	−	8.29596i	0.242710	−	0.304349i	0.888234	+	0.459391i	$0.151932\pi$
$744$	−9.65614	−	4.65015i	−0.354011	−	0.170483i
$745$	−7.65339	+	9.59705i	−0.280398	+	0.351609i
$746$	5.52849	+	24.2219i	0.202412	+	0.886826i
$747$	1.52312	−	0.733494i	0.0557279	−	0.0268371i
$748$	−8.04118	+	3.87243i	−0.294015	+	0.141590i
$749$	12.4801	+	15.6496i	0.456014	+	0.571823i
$750$	0.468318	+	2.05184i	0.0171006	+	0.0749225i
$751$	5.32096	−	23.3127i	0.194165	−	0.850691i	−0.780167	−	0.625572i	$-0.784866\pi$
$751$	5.32096	−	23.3127i	0.194165	−	0.850691i	0.974331	−	0.225119i	$-0.0722771\pi$
$752$	−2.99541	−	3.75612i	−0.109231	−	0.136972i
$753$	−28.8720	−	36.2044i	−1.05215	−	1.31936i
$754$	−3.60749	+	15.8055i	−0.131377	+	0.575601i
$755$	0.922116	+	4.04005i	0.0335592	+	0.147033i
$756$	−6.65969	−	8.35098i	−0.242210	−	0.303722i
$757$	−12.6744	+	6.10365i	−0.460657	+	0.221841i	−0.649795	−	0.760110i	$-0.725145\pi$
$757$	−12.6744	+	6.10365i	−0.460657	+	0.221841i	0.189137	+	0.981951i	$0.439431\pi$
$758$	19.3641	−	9.32524i	0.703334	−	0.338708i
$759$	−1.07107	−	4.69268i	−0.0388775	−	0.170333i
$760$	−1.21293	+	1.52096i	−0.0439975	+	0.0551711i
$761$	−32.2590	−	15.5351i	−1.16939	−	0.563148i	−0.254586	−	0.967050i	$-0.581939\pi$
$761$	−32.2590	−	15.5351i	−1.16939	−	0.563148i	−0.914802	+	0.403903i	$0.867653\pi$
$762$	−4.53846	+	5.69105i	−0.164411	+	0.206165i
$763$	−8.39219	+	36.7686i	−0.303818	+	1.33111i
$764$	9.10610	−	4.38527i	0.329447	−	0.158653i
$765$	1.32258	−	5.79461i	0.0478180	−	0.209504i
$766$	−24.1848	−	11.6468i	−0.873834	−	0.420816i
$767$	7.95163			0.287117
$768$	2.10460			0.0759433
$769$	−27.4510	−	13.2197i	−0.989908	−	0.476715i	−0.132406	−	0.991196i	$-0.542270\pi$
$769$	−27.4510	−	13.2197i	−0.989908	−	0.476715i	−0.857502	+	0.514481i	$0.827985\pi$
$770$	1.54329	+	6.76158i	0.0556162	+	0.243671i
$771$	9.75876	+	12.2371i	0.351453	+	0.440708i
$772$	13.8512	−	17.3688i	0.498515	−	0.625118i
$773$	17.0697			0.613955			0.306977	−	0.951717i	$-0.400682\pi$
$773$	17.0697			0.613955			0.306977	+	0.951717i	$0.400682\pi$
$774$	−8.08842	−	4.73593i	−0.290732	−	0.170230i
$775$	5.09241			0.182925
$776$	−4.56472	+	5.72398i	−0.163864	+	0.205479i
$777$	2.34615	+	2.94198i	0.0841676	+	0.105543i
$778$	1.71510	+	7.51435i	0.0614893	+	0.269402i
$779$	9.93919	+	4.78646i	0.356108	+	0.171493i
$780$	−6.55664			−0.234765
$781$	25.9608			0.928949
$782$	−3.99208	−	1.92248i	−0.142756	−	0.0687478i
$783$	3.82774	−	16.7704i	0.136792	−	0.599326i
$784$	−3.10047	+	1.49311i	−0.110731	+	0.0533253i
$785$	−2.44838	+	10.7270i	−0.0873863	+	0.382864i
$786$	22.0960	−	27.7075i	0.788138	−	0.988294i
$787$	−9.36379	−	4.50937i	−0.333783	−	0.160742i	0.259483	−	0.965748i	$-0.416448\pi$
$787$	−9.36379	−	4.50937i	−0.333783	−	0.160742i	−0.593267	+	0.805006i	$0.702162\pi$
$788$	17.4083	−	21.8293i	0.620145	−	0.777638i
$789$	7.50050	+	32.8619i	0.267025	+	1.16991i
$790$	−15.8747	+	7.64485i	−0.564796	+	0.271991i
$791$	18.1475	−	8.73939i	0.645252	−	0.310737i
$792$	1.91280	+	2.39857i	0.0679684	+	0.0852296i
$793$	5.06600	+	22.1956i	0.179899	+	0.788188i
$794$	−4.16734	+	18.2583i	−0.147893	+	0.647963i
$795$	−3.96162	−	4.96771i	−0.140504	−	0.176187i
$796$	−9.50288	−	11.9162i	−0.336821	−	0.422360i
$797$	6.37662	−	27.9378i	0.225871	−	0.989607i	−0.727096	−	0.686535i	$-0.759131\pi$
$797$	6.37662	−	27.9378i	0.225871	−	0.989607i	0.952968	−	0.303072i	$-0.0980122\pi$
$798$	−2.94390	−	12.8981i	−0.104213	−	0.456587i
$799$	−12.4557	−	15.6189i	−0.440650	−	0.552557i
$800$	−0.900969	+	0.433884i	−0.0318541	+	0.0153401i
$801$	10.5768	−	5.09354i	0.373714	−	0.179971i
$802$	1.05976	+	4.64312i	0.0374215	+	0.163954i
$803$	0.552071	−	0.692275i	0.0194822	−	0.0244299i
$804$	−14.5002	−	6.98291i	−0.511381	−	0.246268i
$805$	−2.14676	+	2.69196i	−0.0756634	+	0.0948790i
$806$	−3.53025	+	15.4670i	−0.124348	+	0.544803i
$807$	−38.3056	+	18.4470i	−1.34842	+	0.649366i
$808$	3.31244	−	14.5127i	0.116531	−	0.510556i
$809$	−10.2131	−	4.91838i	−0.359074	−	0.172921i	0.245645	−	0.969360i	$-0.421000\pi$
$809$	−10.2131	−	4.91838i	−0.359074	−	0.172921i	−0.604719	+	0.796439i	$0.706715\pi$
$810$	11.2450			0.395109
$811$	−9.68995			−0.340260			−0.170130	−	0.985422i	$-0.554419\pi$
$811$	−9.68995			−0.340260			−0.170130	+	0.985422i	$0.554419\pi$
$812$	−15.1499	−	7.29581i	−0.531658	−	0.256033i
$813$	10.4153	+	45.6323i	0.365279	+	1.60039i
$814$	0.740471	+	0.928522i	0.0259535	+	0.0325447i
$815$	−0.877888	+	1.10084i	−0.0307511	+	0.0385606i
$816$	8.75147			0.306363
$817$	7.12164	+	10.5838i	0.249155	+	0.370280i
$818$	11.9100			0.416422
$819$	8.97134	−	11.2497i	0.313484	−	0.393096i
$820$	3.53562	+	4.43352i	0.123469	+	0.154825i
$821$	6.88798	+	30.1782i	0.240392	+	1.05323i	0.940661	+	0.339348i	$0.110206\pi$
$821$	6.88798	+	30.1782i	0.240392	+	1.05323i	−0.700269	+	0.713879i	$0.746936\pi$
$822$	13.9083	+	6.69788i	0.485107	+	0.233615i
$823$	−49.3642			−1.72073			−0.860365	−	0.509679i	$-0.829764\pi$
$823$	−49.3642			−1.72073			−0.860365	+	0.509679i	$0.829764\pi$
$824$	−13.1901			−0.459499
$825$	−4.06986	−	1.95994i	−0.141694	−	0.0682364i
$826$	−1.83524	+	8.04071i	−0.0638562	+	0.279772i
$827$	−4.05867	+	1.95455i	−0.141134	+	0.0679665i	−0.503118	−	0.864218i	$-0.667814\pi$
$827$	−4.05867	+	1.95455i	−0.141134	+	0.0679665i	0.361984	+	0.932184i	$0.382100\pi$
$828$	−0.338914	+	1.48488i	−0.0117781	+	0.0516031i
$829$	−1.77430	+	2.22490i	−0.0616238	+	0.0772739i	−0.811688	−	0.584091i	$-0.801451\pi$
$829$	−1.77430	+	2.22490i	−0.0616238	+	0.0772739i	0.750064	+	0.661365i	$0.230023\pi$
$830$	−1.06560	−	0.513164i	−0.0369874	−	0.0178122i
$831$	2.27225	−	2.84931i	0.0788236	−	0.0988416i
$832$	−0.693237	−	3.03727i	−0.0240337	−	0.105298i
$833$	−12.8925	+	6.20872i	−0.446700	+	0.215119i
$834$	−33.6788	+	16.2188i	−1.16620	+	0.561612i
$835$	11.9151	+	14.9410i	0.412339	+	0.517056i
$836$	−0.929128	−	4.07078i	−0.0321346	−	0.140791i
$837$	3.74578	−	16.4113i	0.129473	−	0.567259i
$838$	−6.67044	−	8.36447i	−0.230427	−	0.288946i
$839$	11.2833	+	14.1488i	0.389542	+	0.488471i	0.937475	−	0.348052i	$-0.113157\pi$
$839$	11.2833	+	14.1488i	0.389542	+	0.488471i	−0.547933	+	0.836522i	$0.684585\pi$
$840$	1.51327	−	6.63009i	0.0522129	−	0.228760i
$841$	0.427254	+	1.87192i	0.0147329	+	0.0645490i
$842$	17.1668	+	21.5264i	0.591606	+	0.741850i
$843$	13.8307	−	6.66050i	0.476353	−	0.229400i
$844$	−23.6903	+	11.4087i	−0.815455	+	0.392702i
$845$	−0.733078	−	3.21182i	−0.0252186	−	0.110490i
$846$	−4.28151	+	5.36884i	−0.147201	+	0.184585i
$847$	18.6125	+	8.96331i	0.639533	+	0.307983i
$848$	1.88236	−	2.36040i	0.0646405	−	0.0810566i
$849$	10.0485	−	44.0253i	0.344863	−	1.51094i
$850$	−3.74646	+	1.80420i	−0.128502	+	0.0618835i
$851$	−0.131198	+	0.574818i	−0.00449742	+	0.0197045i
$852$	−22.9350	−	11.0449i	−0.785739	−	0.378392i
$853$	−40.4909			−1.38638			−0.693190	−	0.720754i	$-0.743796\pi$
$853$	−40.4909			−1.38638			−0.693190	+	0.720754i	$0.743796\pi$
$854$	−23.6135			−0.808037
$855$	2.50528	+	1.20648i	0.0856786	+	0.0412607i
$856$	−1.37843	−	6.03928i	−0.0471137	−	0.206418i
$857$	−17.1754	−	21.5372i	−0.586700	−	0.735698i	0.396540	−	0.918018i	$-0.370211\pi$
$857$	−17.1754	−	21.5372i	−0.586700	−	0.735698i	−0.983239	+	0.182319i	$0.941640\pi$
$858$	8.77425	−	11.0026i	0.299548	−	0.375621i
$859$	−6.99573			−0.238691			−0.119346	−	0.992853i	$-0.538080\pi$
$859$	−6.99573			−0.238691			−0.119346	+	0.992853i	$0.538080\pi$
$860$	0.937727	+	6.49004i	0.0319762	+	0.221309i
$861$	−38.5641			−1.31426
$862$	13.8162	−	17.3250i	0.470583	−	0.590092i
$863$	−15.6620	−	19.6396i	−0.533142	−	0.668539i	0.440200	−	0.897900i	$-0.354908\pi$
$863$	−15.6620	−	19.6396i	−0.533142	−	0.668539i	−0.973341	+	0.229361i	$0.926336\pi$
$864$	0.735561	+	3.22270i	0.0250243	+	0.109639i
$865$	2.87708	+	1.38553i	0.0978238	+	0.0471095i
$866$	11.8745			0.403511
$867$	0.612555			0.0208034
$868$	−14.8255	−	7.13959i	−0.503211	−	0.242334i
$869$	8.41523	−	36.8695i	0.285467	−	1.25071i
$870$	9.86743	−	4.75190i	0.334537	−	0.161105i
$871$	−5.30120	+	23.2261i	−0.179624	+	0.786986i
$872$	7.27708	−	9.12517i	0.246433	−	0.309017i
$873$	9.42833	+	4.54045i	0.319101	+	0.153671i
$874$	1.29245	−	1.62068i	0.0437177	−	0.0548202i
$875$	0.719031	+	3.15028i	0.0243077	+	0.106499i
$876$	−0.782251	+	0.376712i	−0.0264298	+	0.0127279i
$877$	−36.4812	+	17.5684i	−1.23188	+	0.593243i	−0.932597	−	0.360920i	$-0.882463\pi$
$877$	−36.4812	+	17.5684i	−1.23188	+	0.593243i	−0.299286	+	0.954164i	$0.596748\pi$
$878$	−1.82067	−	2.28305i	−0.0614447	−	0.0770492i
$879$	0.779952	+	3.41719i	0.0263071	+	0.115259i
$880$	0.477607	−	2.09253i	0.0161001	−	0.0705392i
$881$	−20.7174	−	25.9788i	−0.697987	−	0.875248i	0.298885	−	0.954289i	$-0.403385\pi$
$881$	−20.7174	−	25.9788i	−0.697987	−	0.875248i	−0.996871	+	0.0790417i	$0.974814\pi$
$882$	3.06682	+	3.84567i	0.103265	+	0.129490i
$883$	−7.72344	+	33.8386i	−0.259914	+	1.13876i	0.661428	+	0.750008i	$0.269951\pi$
$883$	−7.72344	+	33.8386i	−0.259914	+	1.13876i	−0.921343	+	0.388751i	$0.872907\pi$
$884$	−2.88265	−	12.6297i	−0.0969541	−	0.424784i
$885$	−3.34923	−	4.19980i	−0.112583	−	0.141175i
$886$	−2.55279	+	1.22936i	−0.0857626	+	0.0413011i
$887$	−41.9723	+	20.2128i	−1.40929	+	0.678679i	−0.975023	−	0.222105i	$-0.928707\pi$
$887$	−41.9723	+	20.2128i	−1.40929	+	0.678679i	−0.434268	+	0.900784i	$0.642993\pi$
$888$	−0.259132	−	1.13533i	−0.00869589	−	0.0380992i
$889$	−6.96811	+	8.73774i	−0.233703	+	0.293054i
$890$	−7.39972	−	3.56352i	−0.248039	−	0.119449i
$891$	−15.0483	+	18.8700i	−0.504138	+	0.632170i
$892$	−1.00996	+	4.42494i	−0.0338161	+	0.148158i
$893$	8.42058	−	4.05514i	0.281784	−	0.135700i
$894$	−5.74865	+	25.1865i	−0.192263	+	0.842361i
$895$	−21.9451	−	10.5682i	−0.733545	−	0.353257i
$896$	3.23129			0.107950
$897$	6.98649			0.233272
$898$	−21.0898	−	10.1563i	−0.703776	−	0.338921i
$899$	−5.89682	−	25.8357i	−0.196670	−	0.861668i
$900$	0.891189	+	1.11752i	0.0297063	+	0.0372505i
$901$	7.82732	−	9.81515i	0.260766	−	0.326990i
$902$	−12.1713			−0.405258
$903$	−38.4831	−	22.5326i	−1.28064	−	0.749839i
$904$	−6.23349			−0.207323
$905$	11.8429	−	14.8506i	0.393673	−	0.493650i
$906$	5.43769	+	6.81864i	0.180655	+	0.226534i
$907$	7.26907	+	31.8479i	0.241366	+	1.05749i	0.939775	+	0.341794i	$0.111034\pi$
$907$	7.26907	+	31.8479i	0.241366	+	1.05749i	−0.698409	+	0.715698i	$0.746108\pi$
$908$	8.67276	+	4.17658i	0.287816	+	0.138605i
$909$	−21.2773			−0.705725
$910$	−10.0667			−0.333708
$911$	8.80439	+	4.23997i	0.291702	+	0.140476i	0.574012	−	0.818847i	$-0.305386\pi$
$911$	8.80439	+	4.23997i	0.291702	+	0.140476i	−0.282310	+	0.959323i	$0.591101\pi$
$912$	−0.911059	+	3.99161i	−0.0301682	+	0.132175i
$913$	2.28714	−	1.10143i	0.0756931	−	0.0364519i
$914$	4.08604	−	17.9021i	0.135154	−	0.592149i
$915$	9.58922	−	12.0245i	0.317010	−	0.397518i
$916$	−21.6090	−	10.4064i	−0.713982	−	0.343836i
$917$	33.9250	−	42.5406i	1.12030	−	1.40481i
$918$	3.05865	+	13.4008i	0.100950	+	0.442293i
$919$	20.6778	−	9.95789i	0.682097	−	0.328480i	−0.0605487	−	0.998165i	$-0.519285\pi$
$919$	20.6778	−	9.95789i	0.682097	−	0.328480i	0.742645	+	0.669685i	$0.233571\pi$
$920$	0.960037	−	0.462329i	0.0316515	−	0.0152426i
$921$	39.3264	+	49.3138i	1.29585	+	1.62494i
$922$	0.387660	+	1.69845i	0.0127669	+	0.0559354i
$923$	−8.38493	+	36.7368i	−0.275993	+	1.20921i
$924$	9.10072	+	11.4119i	0.299392	+	0.375425i
$925$	0.344992	+	0.432606i	0.0113433	+	0.0142240i
$926$	6.10137	−	26.7318i	0.200503	−	0.878463i
$927$	4.19527	+	18.3807i	0.137791	+	0.603700i
$928$	3.24454	+	4.06852i	0.106507	+	0.133556i
$929$	2.01472	−	0.970237i	0.0661007	−	0.0318324i	−0.400541	−	0.916279i	$-0.631178\pi$
$929$	2.01472	−	0.970237i	0.0661007	−	0.0318324i	0.466642	+	0.884446i	$0.345464\pi$
$930$	9.65614	−	4.65015i	0.316637	−	0.152484i
$931$	−1.48968	−	6.52673i	−0.0488224	−	0.213905i
$932$	9.24424	−	11.5919i	0.302805	−	0.379706i
$933$	−38.4893	−	18.5355i	−1.26008	−	0.606824i
$934$	18.1129	−	22.7128i	0.592672	−	0.743187i
$935$	1.98601	−	8.70127i	0.0649494	−	0.284562i
$936$	−4.01200	+	1.93208i	−0.131136	+	0.0631519i
$937$	−4.07633	+	17.8596i	−0.133168	+	0.583447i	0.863675	+	0.504049i	$0.168157\pi$
$937$	−4.07633	+	17.8596i	−0.133168	+	0.583447i	−0.996843	+	0.0793981i	$0.974700\pi$
$938$	−22.2628	−	10.7212i	−0.726905	−	0.350059i
$939$	2.15901			0.0704568
$940$	4.80426			0.156698
$941$	8.49116	+	4.08913i	0.276804	+	0.133302i	0.567136	−	0.823624i	$-0.308051\pi$
$941$	8.49116	+	4.08913i	0.276804	+	0.133302i	−0.290332	+	0.956926i	$0.593766\pi$
$942$	5.15286	+	22.5762i	0.167889	+	0.735571i
$943$	−3.76741	−	4.72419i	−0.122684	−	0.153841i
$944$	1.59138	−	1.99553i	0.0517951	−	0.0649490i
$945$	10.6813			0.347463
$946$	−12.1457	−	7.11155i	−0.394891	−	0.231216i
$947$	−56.4254			−1.83358			−0.916789	−	0.399371i	$-0.869229\pi$
$947$	−56.4254			−1.83358			−0.916789	+	0.399371i	$0.869229\pi$
$948$	−23.1204	+	28.9921i	−0.750915	+	0.941618i
$949$	0.801320	+	1.00482i	0.0260120	+	0.0326180i
$950$	−0.432889	−	1.89661i	−0.0140448	−	0.0615341i
$951$	−52.2688	−	25.1713i	−1.69493	−	0.816236i
$952$	13.4365			0.435481
$953$	49.0414			1.58861			0.794303	−	0.607522i	$-0.207836\pi$
$953$	49.0414			1.58861			0.794303	+	0.607522i	$0.207836\pi$
$954$	−3.88798	−	1.87235i	−0.125878	−	0.0606196i
$955$	−2.24902	+	9.85361i	−0.0727766	+	0.318855i
$956$	10.0758	−	4.85226i	0.325876	−	0.156933i
$957$	−5.23076	+	22.9174i	−0.169086	+	0.740816i
$958$	−4.12723	+	5.17539i	−0.133345	+	0.167209i
$959$	21.3540	+	10.2836i	0.689557	+	0.332073i
$960$	−1.31220	+	1.64545i	−0.0423510	+	0.0531065i
$961$	1.12759	+	4.94030i	0.0363739	+	0.159365i
$962$	−1.55310	+	0.747934i	−0.0500740	+	0.0241144i
$963$	−7.97743	+	3.84173i	−0.257069	+	0.123798i
$964$	−15.4380	−	19.3586i	−0.497224	−	0.623499i
$965$	4.94343	+	21.6586i	0.159135	+	0.697214i
$966$	−1.61249	+	7.06476i	−0.0518809	+	0.227305i
$967$	−2.65912	−	3.33443i	−0.0855114	−	0.107228i	0.737235	−	0.675636i	$-0.236131\pi$
$967$	−2.65912	−	3.33443i	−0.0855114	−	0.107228i	−0.822747	+	0.568408i	$0.807559\pi$
$968$	−3.98610	−	4.99841i	−0.128118	−	0.160655i
$969$	−3.78841	+	16.5981i	−0.121701	+	0.533208i
$970$	−1.62913	−	7.13768i	−0.0523082	−	0.229177i
$971$	−31.8896	−	39.9882i	−1.02338	−	1.28328i	−0.958409	−	0.285397i	$-0.907875\pi$
$971$	−31.8896	−	39.9882i	−1.02338	−	1.28328i	−0.0649753	−	0.997887i	$-0.520697\pi$
$972$	12.3879	−	5.96570i	0.397342	−	0.191350i
$973$	−51.7085	+	24.9015i	−1.65770	+	0.798306i
$974$	4.62209	+	20.2507i	0.148101	+	0.648875i
$975$	4.08800	−	5.12618i	0.130921	−	0.164169i
$976$	6.58405	+	3.17071i	0.210750	+	0.101492i
$977$	10.3320	−	12.9560i	0.330551	−	0.414498i	−0.588587	−	0.808434i	$-0.700315\pi$
$977$	10.3320	−	12.9560i	0.330551	−	0.414498i	0.919138	+	0.393936i	$0.128887\pi$
$978$	−0.659403	+	2.88903i	−0.0210854	+	0.0923811i
$979$	15.8823	−	7.64853i	0.507602	−	0.244448i
$980$	0.765753	−	3.35498i	0.0244611	−	0.107171i
$981$	−15.0307	−	7.23839i	−0.479892	−	0.231104i
$982$	−16.6765			−0.532167
$983$	−0.219698			−0.00700729			−0.00350364	−	0.999994i	$-0.501115\pi$
$983$	−0.219698			−0.00700729			−0.00350364	+	0.999994i	$0.501115\pi$
$984$	10.7527	+	5.17821i	0.342782	+	0.165075i
$985$	6.21295	+	27.2207i	0.197961	+	0.867325i
$986$	13.4916	+	16.9179i	0.429661	+	0.538777i
$987$	−20.3706	+	25.5439i	−0.648402	+	0.813071i
$988$	6.06060			0.192814
$989$	−0.999205	−	6.91554i	−0.0317729	−	0.219901i
$990$	−3.06789			−0.0975040
$991$	26.0623	−	32.6810i	0.827895	−	1.03815i	−0.170709	−	0.985322i	$-0.554606\pi$
$991$	26.0623	−	32.6810i	0.827895	−	1.03815i	0.998604	−	0.0528260i	$-0.0168229\pi$
$992$	3.17507	+	3.98141i	0.100808	+	0.126410i
$993$	−11.8318	−	51.8386i	−0.375471	−	1.64505i
$994$	−35.2131	−	16.9577i	−1.11689	−	0.537867i
$995$	15.2414			0.483186
$996$	−2.48916			−0.0788721
$997$	51.2112	+	24.6620i	1.62187	+	0.781053i	0.999998	−	0.00206232i	$-0.000656456\pi$
$997$	51.2112	+	24.6620i	1.62187	+	0.781053i	0.621876	+	0.783116i	$0.286371\pi$
$998$	−3.42538	+	15.0076i	−0.108429	+	0.475056i
$999$	1.64792	−	0.793598i	0.0521380	−	0.0251083i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	430.2.k.b.391.3	yes	18
43.11	even	7	inner	430.2.k.b.11.3	✓	18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
430.2.k.b.11.3	✓	18	43.11	even	7	inner
430.2.k.b.391.3	yes	18	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 430 = 2 \cdot 5 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	430.k (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.623490 - 0.781831i) q^{2} +(1.31220 + 1.64545i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(0.900969 + 0.433884i) q^{5} +2.10460 q^{6} +3.23129 q^{7} +(-0.900969 - 0.433884i) q^{8} +(-0.318062 + 1.39352i) q^{9} +O(q^{10})\)	\(q+(0.623490 - 0.781831i) q^{2} +(1.31220 + 1.64545i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(0.900969 + 0.433884i) q^{5} +2.10460 q^{6} +3.23129 q^{7} +(-0.900969 - 0.433884i) q^{8} +(-0.318062 + 1.39352i) q^{9} +(0.900969 - 0.433884i) q^{10} +(-0.477607 + 2.09253i) q^{11} +(1.31220 - 1.64545i) q^{12} +(-2.80686 - 1.35171i) q^{13} +(2.01468 - 2.52633i) q^{14} +(0.468318 + 2.05184i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(-3.74646 + 1.80420i) q^{17} +(0.891189 + 1.11752i) q^{18} +(-0.432889 - 1.89661i) q^{19} +(0.222521 - 0.974928i) q^{20} +(4.24010 + 5.31692i) q^{21} +(1.33822 + 1.67808i) q^{22} +(-0.237110 + 1.03884i) q^{23} +(-0.468318 - 2.05184i) q^{24} +(0.623490 + 0.781831i) q^{25} +(-2.80686 + 1.35171i) q^{26} +(2.97823 - 1.43424i) q^{27} +(-0.719031 - 3.15028i) q^{28} +(3.24454 - 4.06852i) q^{29} +(1.89618 + 0.913153i) q^{30} +(3.17507 - 3.98141i) q^{31} +(-0.222521 + 0.974928i) q^{32} +(-4.06986 + 1.95994i) q^{33} +(-0.925298 + 4.05400i) q^{34} +(2.91130 + 1.40201i) q^{35} +1.42936 q^{36} +0.553324 q^{37} +(-1.75273 - 0.844070i) q^{38} +(-1.45899 - 6.39225i) q^{39} +(-0.623490 - 0.781831i) q^{40} +(-3.53562 + 4.43352i) q^{41} +6.80059 q^{42} +(-6.11866 + 2.35839i) q^{43} +2.14634 q^{44} +(-0.891189 + 1.11752i) q^{45} +(0.664366 + 0.833089i) q^{46} +(1.06905 + 4.68381i) q^{47} +(-1.89618 - 0.913153i) q^{48} +3.44126 q^{49} +1.00000 q^{50} +(-7.88480 - 3.79712i) q^{51} +(-0.693237 + 3.03727i) q^{52} +(-2.72009 + 1.30993i) q^{53} +(0.735561 - 3.22270i) q^{54} +(-1.33822 + 1.67808i) q^{55} +(-2.91130 - 1.40201i) q^{56} +(2.55273 - 3.20102i) q^{57} +(-1.15796 - 5.07337i) q^{58} +(-2.29962 + 1.10744i) q^{59} +(1.89618 - 0.913153i) q^{60} +(-4.55631 - 5.71343i) q^{61} +(-1.13317 - 4.96473i) q^{62} +(-1.02775 + 4.50287i) q^{63} +(0.623490 + 0.781831i) q^{64} +(-1.94241 - 2.43570i) q^{65} +(-1.00517 + 4.40395i) q^{66} +(-1.70162 - 7.45530i) q^{67} +(2.59263 + 3.25105i) q^{68} +(-2.02050 + 0.973020i) q^{69} +(2.91130 - 1.40201i) q^{70} +(-2.69146 - 11.7921i) q^{71} +(0.891189 - 1.11752i) q^{72} +(-0.371686 - 0.178994i) q^{73} +(0.344992 - 0.432606i) q^{74} +(-0.468318 + 2.05184i) q^{75} +(-1.75273 + 0.844070i) q^{76} +(-1.54329 + 6.76158i) q^{77} +(-5.90732 - 2.84482i) q^{78} -17.6196 q^{79} -1.00000 q^{80} +(10.1314 + 4.87903i) q^{81} +(1.26185 + 5.52851i) q^{82} +(-0.737415 - 0.924689i) q^{83} +(4.24010 - 5.31692i) q^{84} -4.15825 q^{85} +(-1.97106 + 6.25419i) q^{86} +10.9520 q^{87} +(1.33822 - 1.67808i) q^{88} +(-5.12076 - 6.42123i) q^{89} +(0.318062 + 1.39352i) q^{90} +(-9.06979 - 4.36778i) q^{91} +1.06556 q^{92} +10.7175 q^{93} +(4.32849 + 2.08449i) q^{94} +(0.432889 - 1.89661i) q^{95} +(-1.89618 + 0.913153i) q^{96} +(1.62913 - 7.13768i) q^{97} +(2.14559 - 2.69049i) q^{98} +(-2.76408 - 1.33111i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 18 q - 3 q^{2} + 2 q^{3} - 3 q^{4} + 3 q^{5} + 2 q^{6} + 6 q^{7} - 3 q^{8} - 7 q^{9}+O(q^{10}) \) 18 * q - 3 * q^2 + 2 * q^3 - 3 * q^4 + 3 * q^5 + 2 * q^6 + 6 * q^7 - 3 * q^8 - 7 * q^9	\( 18 q - 3 q^{2} + 2 q^{3} - 3 q^{4} + 3 q^{5} + 2 q^{6} + 6 q^{7} - 3 q^{8} - 7 q^{9} + 3 q^{10} + 9 q^{11} + 2 q^{12} + 4 q^{13} + 13 q^{14} + 5 q^{15} - 3 q^{16} - q^{17} + 7 q^{18} - 2 q^{19} + 3 q^{20} - 2 q^{21} - 12 q^{22} - 19 q^{23} - 5 q^{24} - 3 q^{25} + 4 q^{26} + 17 q^{27} - q^{28} - 4 q^{29} - 2 q^{30} - 13 q^{31} - 3 q^{32} - 42 q^{33} - 8 q^{34} + 15 q^{35} + 2 q^{37} + 12 q^{38} - 39 q^{39} + 3 q^{40} - 4 q^{41} - 2 q^{42} - 13 q^{43} - 12 q^{44} - 7 q^{45} + 16 q^{46} + 16 q^{47} + 2 q^{48} + 4 q^{49} + 18 q^{50} + 7 q^{51} - 10 q^{52} + 14 q^{53} - 4 q^{54} + 12 q^{55} - 15 q^{56} + 45 q^{57} + 24 q^{58} - 16 q^{59} - 2 q^{60} + 24 q^{61} + 50 q^{62} - 33 q^{63} - 3 q^{64} - 4 q^{65} + 5 q^{67} + 13 q^{68} + 4 q^{69} + 15 q^{70} - 3 q^{71} + 7 q^{72} - 22 q^{73} - 12 q^{74} - 5 q^{75} + 12 q^{76} - 24 q^{77} + 31 q^{78} - 38 q^{79} - 18 q^{80} + 22 q^{81} - 11 q^{82} - 26 q^{83} - 2 q^{84} + 8 q^{85} - 41 q^{86} - 22 q^{87} - 12 q^{88} + 52 q^{89} + 7 q^{90} - 14 q^{91} + 2 q^{92} - 6 q^{93} + 2 q^{94} + 2 q^{95} + 2 q^{96} + 27 q^{97} + 32 q^{98} + 36 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 + 2 * q^3 - 3 * q^4 + 3 * q^5 + 2 * q^6 + 6 * q^7 - 3 * q^8 - 7 * q^9 + 3 * q^10 + 9 * q^11 + 2 * q^12 + 4 * q^13 + 13 * q^14 + 5 * q^15 - 3 * q^16 - q^17 + 7 * q^18 - 2 * q^19 + 3 * q^20 - 2 * q^21 - 12 * q^22 - 19 * q^23 - 5 * q^24 - 3 * q^25 + 4 * q^26 + 17 * q^27 - q^28 - 4 * q^29 - 2 * q^30 - 13 * q^31 - 3 * q^32 - 42 * q^33 - 8 * q^34 + 15 * q^35 + 2 * q^37 + 12 * q^38 - 39 * q^39 + 3 * q^40 - 4 * q^41 - 2 * q^42 - 13 * q^43 - 12 * q^44 - 7 * q^45 + 16 * q^46 + 16 * q^47 + 2 * q^48 + 4 * q^49 + 18 * q^50 + 7 * q^51 - 10 * q^52 + 14 * q^53 - 4 * q^54 + 12 * q^55 - 15 * q^56 + 45 * q^57 + 24 * q^58 - 16 * q^59 - 2 * q^60 + 24 * q^61 + 50 * q^62 - 33 * q^63 - 3 * q^64 - 4 * q^65 + 5 * q^67 + 13 * q^68 + 4 * q^69 + 15 * q^70 - 3 * q^71 + 7 * q^72 - 22 * q^73 - 12 * q^74 - 5 * q^75 + 12 * q^76 - 24 * q^77 + 31 * q^78 - 38 * q^79 - 18 * q^80 + 22 * q^81 - 11 * q^82 - 26 * q^83 - 2 * q^84 + 8 * q^85 - 41 * q^86 - 22 * q^87 - 12 * q^88 + 52 * q^89 + 7 * q^90 - 14 * q^91 + 2 * q^92 - 6 * q^93 + 2 * q^94 + 2 * q^95 + 2 * q^96 + 27 * q^97 + 32 * q^98 + 36 * q^99

Introduction

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