LMFDB - Embedded newform 430.2.k.d.391.4

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:	$24$
Relative dimension:	$4$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			391.4
Character	$\chi$	$=$	430.391
Dual form			430.2.k.d.11.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.623490 + 0.781831i) q^{2} +(1.81324 + 2.27373i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(0.900969 + 0.433884i) q^{5} -2.90820 q^{6} +1.09852 q^{7} +(0.900969 + 0.433884i) q^{8} +(-1.21444 + 5.32082i) q^{9} +O(q^{10})$	\(q+(-0.623490 + 0.781831i) q^{2} +(1.81324 + 2.27373i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(0.900969 + 0.433884i) q^{5} -2.90820 q^{6} +1.09852 q^{7} +(0.900969 + 0.433884i) q^{8} +(-1.21444 + 5.32082i) q^{9} +(-0.900969 + 0.433884i) q^{10} +(0.0810037 - 0.354900i) q^{11} +(1.81324 - 2.27373i) q^{12} +(-0.370279 - 0.178317i) q^{13} +(-0.684919 + 0.858861i) q^{14} +(0.647136 + 2.83529i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(-1.53901 + 0.741150i) q^{17} +(-3.40279 - 4.26697i) q^{18} +(1.31829 + 5.77582i) q^{19} +(0.222521 - 0.974928i) q^{20} +(1.99188 + 2.49774i) q^{21} +(0.226967 + 0.284608i) q^{22} +(1.80084 - 7.88998i) q^{23} +(0.647136 + 2.83529i) q^{24} +(0.623490 + 0.781831i) q^{25} +(0.370279 - 0.178317i) q^{26} +(-6.43955 + 3.10113i) q^{27} +(-0.244445 - 1.07098i) q^{28} +(-0.405948 + 0.509043i) q^{29} +(-2.62020 - 1.26182i) q^{30} +(-0.0885433 + 0.111030i) q^{31} +(0.222521 - 0.974928i) q^{32} +(0.953825 - 0.459338i) q^{33} +(0.380105 - 1.66535i) q^{34} +(0.989736 + 0.476632i) q^{35} +5.45766 q^{36} -6.92225 q^{37} +(-5.33766 - 2.57048i) q^{38} +(-0.265959 - 1.16524i) q^{39} +(0.623490 + 0.781831i) q^{40} +(5.84345 - 7.32745i) q^{41} -3.19473 q^{42} +(-4.73495 - 4.53654i) q^{43} -0.364027 q^{44} +(-3.40279 + 4.26697i) q^{45} +(5.04583 + 6.32727i) q^{46} +(-0.499784 - 2.18970i) q^{47} +(-2.62020 - 1.26182i) q^{48} -5.79324 q^{49} -1.00000 q^{50} +(-4.47577 - 2.15542i) q^{51} +(-0.0914514 + 0.400675i) q^{52} +(7.24932 - 3.49109i) q^{53} +(1.59044 - 6.96817i) q^{54} +(0.226967 - 0.284608i) q^{55} +(0.989736 + 0.476632i) q^{56} +(-10.7423 + 13.4704i) q^{57} +(-0.144881 - 0.634767i) q^{58} +(-7.01331 + 3.37743i) q^{59} +(2.62020 - 1.26182i) q^{60} +(3.62378 + 4.54407i) q^{61} +(-0.0316007 - 0.138452i) q^{62} +(-1.33410 + 5.84505i) q^{63} +(0.623490 + 0.781831i) q^{64} +(-0.256241 - 0.321316i) q^{65} +(-0.235575 + 1.03212i) q^{66} +(-0.571564 - 2.50419i) q^{67} +(1.06503 + 1.33551i) q^{68} +(21.2050 - 10.2118i) q^{69} +(-0.989736 + 0.476632i) q^{70} +(-0.00547959 - 0.0240076i) q^{71} +(-3.40279 + 4.26697i) q^{72} +(14.1263 + 6.80285i) q^{73} +(4.31595 - 5.41204i) q^{74} +(-0.647136 + 2.83529i) q^{75} +(5.33766 - 2.57048i) q^{76} +(0.0889845 - 0.389867i) q^{77} +(1.07685 + 0.518582i) q^{78} +10.2325 q^{79} -1.00000 q^{80} +(-3.97601 - 1.91475i) q^{81} +(2.08550 + 9.13718i) q^{82} +(-6.22111 - 7.80102i) q^{83} +(1.99188 - 2.49774i) q^{84} -1.70818 q^{85} +(6.49901 - 0.873446i) q^{86} -1.89351 q^{87} +(0.226967 - 0.284608i) q^{88} +(4.79630 + 6.01437i) q^{89} +(-1.21444 - 5.32082i) q^{90} +(-0.406761 - 0.195886i) q^{91} -8.09288 q^{92} -0.413001 q^{93} +(2.02358 + 0.974506i) q^{94} +(-1.31829 + 5.77582i) q^{95} +(2.62020 - 1.26182i) q^{96} +(-0.383232 + 1.67905i) q^{97} +(3.61203 - 4.52934i) q^{98} +(1.78999 + 0.862012i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q + 4 q^{2} + 2 q^{3} - 4 q^{4} + 4 q^{5} + 12 q^{6} - 2 q^{7} + 4 q^{8} - 4 q^{9}+O(q^{10}) $ 24 * q + 4 * q^2 + 2 * q^3 - 4 * q^4 + 4 * q^5 + 12 * q^6 - 2 * q^7 + 4 * q^8 - 4 * q^9	\( 24 q + 4 q^{2} + 2 q^{3} - 4 q^{4} + 4 q^{5} + 12 q^{6} - 2 q^{7} + 4 q^{8} - 4 q^{9} - 4 q^{10} - 9 q^{11} + 2 q^{12} - 2 q^{13} - 5 q^{14} - 2 q^{15} - 4 q^{16} + 13 q^{17} - 10 q^{18} - 3 q^{19} + 4 q^{20} - 14 q^{21} - 5 q^{22} + 11 q^{23} - 2 q^{24} - 4 q^{25} + 2 q^{26} - 13 q^{27} + 5 q^{28} + 20 q^{29} + 2 q^{30} - 5 q^{31} + 4 q^{32} + 15 q^{33} + q^{34} + 9 q^{35} + 24 q^{36} - 38 q^{37} - 18 q^{38} + 5 q^{39} - 4 q^{40} - 2 q^{41} - 14 q^{42} - 2 q^{43} - 2 q^{44} - 10 q^{45} - 4 q^{46} + 10 q^{47} + 2 q^{48} + 50 q^{49} - 24 q^{50} - 42 q^{51} - 2 q^{52} + 22 q^{53} - 29 q^{54} - 5 q^{55} + 9 q^{56} - 67 q^{57} + 22 q^{58} - 44 q^{59} - 2 q^{60} - 26 q^{61} - 2 q^{62} + 37 q^{63} - 4 q^{64} + 2 q^{65} - 8 q^{66} + 37 q^{67} - 15 q^{68} + 88 q^{69} - 9 q^{70} + 19 q^{71} - 10 q^{72} + 22 q^{73} - 4 q^{74} + 2 q^{75} + 18 q^{76} + 28 q^{77} + 23 q^{78} + 30 q^{79} - 24 q^{80} - 26 q^{81} + 37 q^{82} - 11 q^{83} - 14 q^{84} - 6 q^{85} + 16 q^{86} - 26 q^{87} - 5 q^{88} + 30 q^{89} - 4 q^{90} + 36 q^{91} - 10 q^{92} - 98 q^{93} + 4 q^{94} + 3 q^{95} - 2 q^{96} - 39 q^{97} + 41 q^{98} - 31 q^{99}+O(q^{100}) \) 24 * q + 4 * q^2 + 2 * q^3 - 4 * q^4 + 4 * q^5 + 12 * q^6 - 2 * q^7 + 4 * q^8 - 4 * q^9 - 4 * q^10 - 9 * q^11 + 2 * q^12 - 2 * q^13 - 5 * q^14 - 2 * q^15 - 4 * q^16 + 13 * q^17 - 10 * q^18 - 3 * q^19 + 4 * q^20 - 14 * q^21 - 5 * q^22 + 11 * q^23 - 2 * q^24 - 4 * q^25 + 2 * q^26 - 13 * q^27 + 5 * q^28 + 20 * q^29 + 2 * q^30 - 5 * q^31 + 4 * q^32 + 15 * q^33 + q^34 + 9 * q^35 + 24 * q^36 - 38 * q^37 - 18 * q^38 + 5 * q^39 - 4 * q^40 - 2 * q^41 - 14 * q^42 - 2 * q^43 - 2 * q^44 - 10 * q^45 - 4 * q^46 + 10 * q^47 + 2 * q^48 + 50 * q^49 - 24 * q^50 - 42 * q^51 - 2 * q^52 + 22 * q^53 - 29 * q^54 - 5 * q^55 + 9 * q^56 - 67 * q^57 + 22 * q^58 - 44 * q^59 - 2 * q^60 - 26 * q^61 - 2 * q^62 + 37 * q^63 - 4 * q^64 + 2 * q^65 - 8 * q^66 + 37 * q^67 - 15 * q^68 + 88 * q^69 - 9 * q^70 + 19 * q^71 - 10 * q^72 + 22 * q^73 - 4 * q^74 + 2 * q^75 + 18 * q^76 + 28 * q^77 + 23 * q^78 + 30 * q^79 - 24 * q^80 - 26 * q^81 + 37 * q^82 - 11 * q^83 - 14 * q^84 - 6 * q^85 + 16 * q^86 - 26 * q^87 - 5 * q^88 + 30 * q^89 - 4 * q^90 + 36 * q^91 - 10 * q^92 - 98 * q^93 + 4 * q^94 + 3 * q^95 - 2 * q^96 - 39 * q^97 + 41 * q^98 - 31 * 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
$3$	1.81324	+	2.27373i	1.04687	+	1.31274i	0.948220	+	0.317614i	$0.102882\pi$
$3$	1.81324	+	2.27373i	1.04687	+	1.31274i	0.0986524	+	0.995122i	$0.468547\pi$
$4$	−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
$6$	−2.90820			−1.18727
$7$	1.09852			0.415203			0.207602	−	0.978213i	$-0.433434\pi$
$7$	1.09852			0.415203			0.207602	+	0.978213i	$0.433434\pi$
$8$	0.900969	+	0.433884i	0.318541	+	0.153401i
$9$	−1.21444	+	5.32082i	−0.404814	+	1.77361i
$10$	−0.900969	+	0.433884i	−0.284911	+	0.137206i
$11$	0.0810037	−	0.354900i	0.0244235	−	0.107006i	−0.961247	−	0.275689i	$-0.911094\pi$
$11$	0.0810037	−	0.354900i	0.0244235	−	0.107006i	0.985670	+	0.168682i	$0.0539512\pi$
$12$	1.81324	−	2.27373i	0.523436	−	0.656368i
$13$	−0.370279	−	0.178317i	−0.102697	−	0.0494562i	0.381830	−	0.924233i	$-0.375294\pi$
$13$	−0.370279	−	0.178317i	−0.102697	−	0.0494562i	−0.484527	+	0.874776i	$0.661008\pi$
$14$	−0.684919	+	0.858861i	−0.183052	+	0.229540i
$15$	0.647136	+	2.83529i	0.167090	+	0.732069i
$16$	−0.900969	+	0.433884i	−0.225242	+	0.108471i
$17$	−1.53901	+	0.741150i	−0.373266	+	0.179755i	−0.611106	−	0.791549i	$-0.709275\pi$
$17$	−1.53901	+	0.741150i	−0.373266	+	0.179755i	0.237840	+	0.971304i	$0.423561\pi$
$18$	−3.40279	−	4.26697i	−0.802046	−	1.00573i
$19$	1.31829	+	5.77582i	0.302437	+	1.32507i	0.866436	+	0.499289i	$0.166405\pi$
$19$	1.31829	+	5.77582i	0.302437	+	1.32507i	−0.563998	+	0.825776i	$0.690737\pi$
$20$	0.222521	−	0.974928i	0.0497572	−	0.218001i
$21$	1.99188	+	2.49774i	0.434665	+	0.545052i
$22$	0.226967	+	0.284608i	0.0483896	+	0.0606786i
$23$	1.80084	−	7.88998i	0.375500	−	1.64517i	−0.335542	−	0.942025i	$-0.608920\pi$
$23$	1.80084	−	7.88998i	0.375500	−	1.64517i	0.711043	−	0.703149i	$-0.248223\pi$
$24$	0.647136	+	2.83529i	0.132096	+	0.578751i
$25$	0.623490	+	0.781831i	0.124698	+	0.156366i
$26$	0.370279	−	0.178317i	0.0726177	−	0.0349708i
$27$	−6.43955	+	3.10113i	−1.23929	+	0.596812i
$28$	−0.244445	−	1.07098i	−0.0461957	−	0.202397i
$29$	−0.405948	+	0.509043i	−0.0753827	+	0.0945270i	−0.818093	−	0.575086i	$-0.804969\pi$
$29$	−0.405948	+	0.509043i	−0.0753827	+	0.0945270i	0.742710	+	0.669613i	$0.233540\pi$
$30$	−2.62020	−	1.26182i	−0.478381	−	0.230376i
$31$	−0.0885433	+	0.111030i	−0.0159028	+	0.0199415i	−0.789719	−	0.613468i	$-0.789774\pi$
$31$	−0.0885433	+	0.111030i	−0.0159028	+	0.0199415i	0.773816	+	0.633410i	$0.218345\pi$
$32$	0.222521	−	0.974928i	0.0393365	−	0.172345i
$33$	0.953825	−	0.459338i	0.166040	−	0.0799604i
$34$	0.380105	−	1.66535i	0.0651875	−	0.285605i
$35$	0.989736	+	0.476632i	0.167296	+	0.0805655i
$36$	5.45766			0.909609
$37$	−6.92225			−1.13801			−0.569006	−	0.822334i	$-0.692672\pi$
$37$	−6.92225			−1.13801			−0.569006	+	0.822334i	$0.692672\pi$
$38$	−5.33766	−	2.57048i	−0.865884	−	0.416988i
$39$	−0.265959	−	1.16524i	−0.0425876	−	0.186588i
$40$	0.623490	+	0.781831i	0.0985824	+	0.123618i
$41$	5.84345	−	7.32745i	0.912593	−	1.14436i	−0.0765008	−	0.997070i	$-0.524375\pi$
$41$	5.84345	−	7.32745i	0.912593	−	1.14436i	0.989094	−	0.147286i	$-0.0470538\pi$
$42$	−3.19473			−0.492958
$43$	−4.73495	−	4.53654i	−0.722073	−	0.691816i
$43$	−4.73495	−	4.53654i	−0.722073	−	0.691816i
$44$	−0.364027			−0.0548792
$45$	−3.40279	+	4.26697i	−0.507258	+	0.636082i
$46$	5.04583	+	6.32727i	0.743967	+	0.932905i
$47$	−0.499784	−	2.18970i	−0.0729010	−	0.319400i	0.925308	−	0.379215i	$-0.123806\pi$
$47$	−0.499784	−	2.18970i	−0.0729010	−	0.319400i	−0.998209	+	0.0598152i	$0.980949\pi$
$48$	−2.62020	−	1.26182i	−0.378194	−	0.182128i
$49$	−5.79324			−0.827606
$50$	−1.00000			−0.141421
$51$	−4.47577	−	2.15542i	−0.626733	−	0.301819i
$52$	−0.0914514	+	0.400675i	−0.0126820	+	0.0555636i
$53$	7.24932	−	3.49109i	0.995771	−	0.479538i	0.136270	−	0.990672i	$-0.456489\pi$
$53$	7.24932	−	3.49109i	0.995771	−	0.479538i	0.859501	+	0.511134i	$0.170774\pi$
$54$	1.59044	−	6.96817i	0.216431	−	0.948247i
$55$	0.226967	−	0.284608i	0.0306042	−	0.0383765i
$56$	0.989736	+	0.476632i	0.132259	+	0.0636926i
$57$	−10.7423	+	13.4704i	−1.42285	+	1.78419i
$58$	−0.144881	−	0.634767i	−0.0190239	−	0.0833489i
$59$	−7.01331	+	3.37743i	−0.913056	+	0.439704i	−0.830587	−	0.556889i	$-0.811995\pi$
$59$	−7.01331	+	3.37743i	−0.913056	+	0.439704i	−0.0824688	+	0.996594i	$0.526280\pi$
$60$	2.62020	−	1.26182i	0.338267	−	0.162901i
$61$	3.62378	+	4.54407i	0.463977	+	0.581809i	0.957685	−	0.287819i	$-0.0929302\pi$
$61$	3.62378	+	4.54407i	0.463977	+	0.581809i	−0.493708	+	0.869628i	$0.664359\pi$
$62$	−0.0316007	−	0.138452i	−0.00401330	−	0.0175834i
$63$	−1.33410	+	5.84505i	−0.168080	+	0.736407i
$64$	0.623490	+	0.781831i	0.0779362	+	0.0977289i
$65$	−0.256241	−	0.321316i	−0.0317828	−	0.0398544i
$66$	−0.235575	+	1.03212i	−0.0289973	+	0.127045i
$67$	−0.571564	−	2.50419i	−0.0698277	−	0.305935i	0.927939	−	0.372732i	$-0.121579\pi$
$67$	−0.571564	−	2.50419i	−0.0698277	−	0.305935i	−0.997767	+	0.0667973i	$0.978722\pi$
$68$	1.06503	+	1.33551i	0.129154	+	0.161954i
$69$	21.2050	−	10.2118i	2.55278	−	1.22935i
$70$	−0.989736	+	0.476632i	−0.118296	+	0.0569684i
$71$	−0.00547959	−	0.0240076i	−0.000650307	−	0.00284918i	0.974602	−	0.223945i	$-0.0718937\pi$
$71$	−0.00547959	−	0.0240076i	−0.000650307	−	0.00284918i	−0.975252	+	0.221096i	$0.929037\pi$
$72$	−3.40279	+	4.26697i	−0.401023	+	0.502867i
$73$	14.1263	+	6.80285i	1.65335	+	0.796214i	0.999206	+	0.0398481i	$0.0126874\pi$
$73$	14.1263	+	6.80285i	1.65335	+	0.796214i	0.654149	+	0.756366i	$0.273027\pi$
$74$	4.31595	−	5.41204i	0.501720	−	0.629136i
$75$	−0.647136	+	2.83529i	−0.0747249	+	0.327391i
$76$	5.33766	−	2.57048i	0.612272	−	0.294855i
$77$	0.0889845	−	0.389867i	0.0101407	−	0.0444294i
$78$	1.07685	+	0.518582i	0.121929	+	0.0587179i
$79$	10.2325			1.15125			0.575625	−	0.817714i	$-0.304759\pi$
$79$	10.2325			1.15125			0.575625	+	0.817714i	$0.304759\pi$
$80$	−1.00000			−0.111803
$81$	−3.97601	−	1.91475i	−0.441779	−	0.212749i
$82$	2.08550	+	9.13718i	0.230305	+	1.00903i
$83$	−6.22111	−	7.80102i	−0.682855	−	0.856274i	0.312758	−	0.949833i	$-0.398747\pi$
$83$	−6.22111	−	7.80102i	−0.682855	−	0.856274i	−0.995614	+	0.0935592i	$0.970176\pi$
$84$	1.99188	−	2.49774i	0.217332	−	0.272526i
$85$	−1.70818			−0.185278
$86$	6.49901	−	0.873446i	0.700806	−	0.0941861i
$87$	−1.89351			−0.203005
$88$	0.226967	−	0.284608i	0.0241948	−	0.0303393i
$89$	4.79630	+	6.01437i	0.508407	+	0.637522i	0.968102	−	0.250555i	$-0.0806130\pi$
$89$	4.79630	+	6.01437i	0.508407	+	0.637522i	−0.459696	+	0.888076i	$0.652042\pi$
$90$	−1.21444	−	5.32082i	−0.128013	−	0.560864i
$91$	−0.406761	−	0.195886i	−0.0426401	−	0.0205344i
$92$	−8.09288			−0.843741
$93$	−0.413001			−0.0428262
$94$	2.02358	+	0.974506i	0.208717	+	0.100513i
$95$	−1.31829	+	5.77582i	−0.135254	+	0.592587i
$96$	2.62020	−	1.26182i	0.267423	−	0.128784i
$97$	−0.383232	+	1.67905i	−0.0389113	+	0.170482i	−0.990650	−	0.136428i	$-0.956438\pi$
$97$	−0.383232	+	1.67905i	−0.0389113	+	0.170482i	0.951739	+	0.306910i	$0.0992949\pi$
$98$	3.61203	−	4.52934i	0.364870	−	0.457532i
$99$	1.78999	+	0.862012i	0.179900	+	0.0866354i
$100$	0.623490	−	0.781831i	0.0623490	−	0.0781831i
$101$	−2.34000	−	10.2522i	−0.232838	−	1.02013i	−0.947273	−	0.320429i	$-0.896173\pi$
$101$	−2.34000	−	10.2522i	−0.232838	−	1.02013i	0.714434	−	0.699702i	$-0.246684\pi$
$102$	4.47577	−	2.15542i	0.443167	−	0.213418i
$103$	1.60595	−	0.773384i	0.158239	−	0.0762038i	−0.353088	−	0.935590i	$-0.614868\pi$
$103$	1.60595	−	0.773384i	0.158239	−	0.0762038i	0.511327	+	0.859386i	$0.329154\pi$
$104$	−0.256241	−	0.321316i	−0.0251265	−	0.0315076i
$105$	0.710895	+	3.11464i	0.0693763	+	0.303957i
$106$	−1.79043	+	7.84440i	−0.173902	+	0.761916i
$107$	−7.98769	−	10.0162i	−0.772199	−	0.968307i	0.227786	−	0.973711i	$-0.426851\pi$
$107$	−7.98769	−	10.0162i	−0.772199	−	0.968307i	−0.999985	+	0.00540430i	$0.998280\pi$
$108$	4.45631	+	5.58804i	0.428809	+	0.537709i
$109$	2.30251	−	10.0879i	0.220540	−	0.966250i	−0.736533	−	0.676402i	$-0.763538\pi$
$109$	2.30251	−	10.0879i	0.220540	−	0.966250i	0.957073	−	0.289848i	$-0.0936047\pi$
$110$	0.0810037	+	0.354900i	0.00772340	+	0.0338384i
$111$	−12.5517	−	15.7393i	−1.19135	−	1.49391i
$112$	−0.989736	+	0.476632i	−0.0935213	+	0.0450375i
$113$	1.35513	−	0.652595i	0.127480	−	0.0613910i	−0.369057	−	0.929407i	$-0.620319\pi$
$113$	1.35513	−	0.652595i	0.127480	−	0.0613910i	0.496536	+	0.868016i	$0.334605\pi$
$114$	−3.83387	−	16.7973i	−0.359075	−	1.57321i
$115$	5.04583	−	6.32727i	0.470526	−	0.590021i
$116$	0.586613	+	0.282498i	0.0544656	+	0.0262293i
$117$	1.39848	−	1.75363i	0.129289	−	0.162123i
$118$	1.73215	−	7.58902i	0.159457	−	0.698626i
$119$	−1.69064	+	0.814172i	−0.154981	+	0.0746350i
$120$	−0.647136	+	2.83529i	−0.0590752	+	0.258825i
$121$	9.79126	+	4.71522i	0.890115	+	0.428657i
$122$	−5.81208			−0.526201
$123$	27.2562			2.45761
$124$	0.127949	+	0.0616169i	0.0114901	+	0.00553336i
$125$	0.222521	+	0.974928i	0.0199029	+	0.0872002i
$126$	−3.73805	−	4.68737i	−0.333012	−	0.417584i
$127$	5.33749	−	6.69300i	0.473625	−	0.593907i	−0.486429	−	0.873720i	$-0.661701\pi$
$127$	5.33749	−	6.69300i	0.473625	−	0.593907i	0.960055	+	0.279813i	$0.0902723\pi$
$128$	−1.00000			−0.0883883
$129$	1.72927	−	18.9918i	0.152254	−	1.67214i
$130$	0.410979			0.0360452
$131$	−0.00183434	+	0.00230019i	−0.000160267	+	0.000200968i	−0.781912	−	0.623389i	$-0.785755\pi$
$131$	−0.00183434	+	0.00230019i	−0.000160267	+	0.000200968i	0.781751	+	0.623590i	$0.214327\pi$
$132$	−0.660067	−	0.827698i	−0.0574515	−	0.0720419i
$133$	1.44818	+	6.34489i	0.125573	+	0.550171i
$134$	2.31422	+	1.11447i	0.199918	+	0.0962753i
$135$	−7.14737			−0.615147
$136$	−1.70818			−0.146475
$137$	10.5415	+	5.07652i	0.900621	+	0.433716i	0.826113	−	0.563504i	$-0.190547\pi$
$137$	10.5415	+	5.07652i	0.900621	+	0.433716i	0.0745081	+	0.997220i	$0.476261\pi$
$138$	−5.23720	+	22.9457i	−0.445820	+	1.95327i
$139$	−8.54814	+	4.11657i	−0.725044	+	0.349163i	−0.759733	−	0.650235i	$-0.774670\pi$
$139$	−8.54814	+	4.11657i	−0.725044	+	0.349163i	0.0346889	+	0.999398i	$0.488956\pi$
$140$	0.244445	−	1.07098i	0.0206593	−	0.0905145i
$141$	4.07254	−	5.10681i	0.342970	−	0.430071i
$142$	0.0221864	+	0.0106844i	0.00186184	+	0.000896615i
$143$	−0.0932787	+	0.116968i	−0.00780036	+	0.00978134i
$144$	−1.21444	−	5.32082i	−0.101204	−	0.443402i
$145$	−0.586613	+	0.282498i	−0.0487155	+	0.0234602i
$146$	−14.1263	+	6.80285i	−1.16910	+	0.563008i
$147$	−10.5045	−	13.1722i	−0.866398	−	1.08643i
$148$	1.54035	+	6.74870i	0.126616	+	0.554740i
$149$	4.08369	−	17.8918i	0.334549	−	1.46575i	−0.475668	−	0.879625i	$-0.657794\pi$
$149$	4.08369	−	17.8918i	0.334549	−	1.46575i	0.810217	−	0.586130i	$-0.199349\pi$
$150$	−1.81324	−	2.27373i	−0.148050	−	0.185649i
$151$	2.62652	+	3.29355i	0.213743	+	0.268025i	0.877132	−	0.480250i	$-0.159454\pi$
$151$	2.62652	+	3.29355i	0.213743	+	0.268025i	−0.663389	+	0.748275i	$0.730883\pi$
$152$	−1.31829	+	5.77582i	−0.106928	+	0.468481i
$153$	−2.07448	−	9.08890i	−0.167712	−	0.734794i
$154$	0.249329	+	0.312649i	0.0200915	+	0.0251940i
$155$	−0.127949	+	0.0616169i	−0.0102771	+	0.00494919i
$156$	−1.07685	+	0.518582i	−0.0862168	+	0.0415198i
$157$	4.35665	+	19.0877i	0.347699	+	1.52337i	0.782390	+	0.622789i	$0.214000\pi$
$157$	4.35665	+	19.0877i	0.347699	+	1.52337i	−0.434691	+	0.900579i	$0.643143\pi$
$158$	−6.37988	+	8.00012i	−0.507556	+	0.636456i
$159$	21.0825	+	10.1528i	1.67195	+	0.805169i
$160$	0.623490	−	0.781831i	0.0492912	−	0.0618092i
$161$	1.97826	−	8.66733i	0.155909	−	0.683082i
$162$	3.97601	−	1.91475i	0.312385	−	0.150437i
$163$	−4.11275	+	18.0191i	−0.322135	+	1.41137i	0.511610	+	0.859218i	$0.329049\pi$
$163$	−4.11275	+	18.0191i	−0.322135	+	1.41137i	−0.833745	+	0.552149i	$0.813808\pi$
$164$	−8.44403	−	4.06643i	−0.659368	−	0.317535i
$165$	1.05867			0.0824170
$166$	9.97788			0.774434
$167$	1.73571	+	0.835874i	0.134313	+	0.0646819i	0.499833	−	0.866122i	$-0.333395\pi$
$167$	1.73571	+	0.835874i	0.134313	+	0.0646819i	−0.365520	+	0.930803i	$0.619109\pi$
$168$	0.710895	+	3.11464i	0.0548468	+	0.240299i
$169$	−8.00006	−	10.0318i	−0.615389	−	0.771673i
$170$	1.06503	−	1.33551i	0.0816841	−	0.102429i
$171$	−32.3331			−2.47258
$172$	−3.36918	+	5.62571i	−0.256897	+	0.428957i
$173$	2.38101			0.181025			0.0905125	−	0.995895i	$-0.471149\pi$
$173$	2.38101			0.181025			0.0905125	+	0.995895i	$0.471149\pi$
$174$	1.18058	−	1.48040i	0.0894996	−	0.112229i
$175$	0.684919	+	0.858861i	0.0517750	+	0.0649238i
$176$	0.0810037	+	0.354900i	0.00610588	+	0.0267516i
$177$	−20.3962	−	9.82227i	−1.53307	−	0.738287i
$178$	−7.69267			−0.576590
$179$	−14.0558			−1.05058			−0.525291	−	0.850923i	$-0.676044\pi$
$179$	−14.0558			−1.05058			−0.525291	+	0.850923i	$0.676044\pi$
$180$	4.91718	+	2.36799i	0.366505	+	0.176499i
$181$	−4.36669	+	19.1317i	−0.324573	+	1.42205i	0.504743	+	0.863270i	$0.331587\pi$
$181$	−4.36669	+	19.1317i	−0.324573	+	1.42205i	−0.829316	+	0.558779i	$0.811270\pi$
$182$	0.406761	−	0.195886i	0.0301511	−	0.0145200i
$183$	−3.76121	+	16.4789i	−0.278037	+	1.21816i
$184$	5.04583	−	6.32727i	0.371983	−	0.466453i
$185$	−6.23673	−	3.00345i	−0.458534	−	0.220818i
$186$	0.257502	−	0.322897i	0.0188810	−	0.0236760i
$187$	0.138369	+	0.606232i	0.0101185	+	0.0443321i
$188$	−2.02358	+	0.974506i	−0.147585	+	0.0710732i
$189$	−7.07401	+	3.40666i	−0.514558	+	0.247798i
$190$	−3.69378	−	4.63185i	−0.267975	−	0.336030i
$191$	2.77786	+	12.1706i	0.200999	+	0.880634i	0.970330	+	0.241784i	$0.0777325\pi$
$191$	2.77786	+	12.1706i	0.200999	+	0.880634i	−0.769331	+	0.638850i	$0.779410\pi$
$192$	−0.647136	+	2.83529i	−0.0467031	+	0.204619i
$193$	−17.1616	−	21.5200i	−1.23532	−	1.54904i	−0.724328	−	0.689456i	$-0.757850\pi$
$193$	−17.1616	−	21.5200i	−1.23532	−	1.54904i	−0.510992	−	0.859586i	$-0.670722\pi$
$194$	−1.07379	−	1.34649i	−0.0770938	−	0.0966726i
$195$	0.265959	−	1.16524i	0.0190457	−	0.0834449i
$196$	1.28912	+	5.64800i	0.0920799	+	0.403428i
$197$	−5.20154	−	6.52253i	−0.370595	−	0.464711i	0.561209	−	0.827674i	$-0.310336\pi$
$197$	−5.20154	−	6.52253i	−0.370595	−	0.464711i	−0.931803	+	0.362963i	$0.881765\pi$
$198$	−1.78999	+	0.862012i	−0.127209	+	0.0612605i
$199$	−12.8348	+	6.18093i	−0.909837	+	0.438155i	−0.829432	−	0.558608i	$-0.811336\pi$
$199$	−12.8348	+	6.18093i	−0.909837	+	0.438155i	−0.0804054	+	0.996762i	$0.525621\pi$
$200$	0.222521	+	0.974928i	0.0157346	+	0.0689378i
$201$	4.65745	−	5.84026i	0.328511	−	0.411940i
$202$	9.47445	+	4.56265i	0.666620	+	0.321027i
$203$	−0.445944	+	0.559197i	−0.0312992	+	0.0392479i
$204$	−1.10542	+	4.84318i	−0.0773951	+	0.339090i
$205$	8.44403	−	4.06643i	0.589756	−	0.284012i
$206$	−0.396637	+	1.73778i	−0.0276350	+	0.121077i
$207$	39.7941	+	19.1638i	2.76588	+	1.33198i
$208$	0.410979			0.0284963
$209$	2.15663			0.149177
$210$	−2.87836	−	1.38614i	−0.198625	−	0.0956530i
$211$	4.61188	+	20.2059i	0.317495	+	1.39103i	0.841931	+	0.539585i	$0.181419\pi$
$211$	4.61188	+	20.2059i	0.317495	+	1.39103i	−0.524436	+	0.851450i	$0.675724\pi$
$212$	−5.01668	−	6.29072i	−0.344547	−	0.432049i
$213$	0.0446510	−	0.0559906i	0.00305944	−	0.00383641i
$214$	12.8113			0.875759
$215$	−2.29771	−	6.14170i	−0.156703	−	0.418861i
$216$	−7.14737			−0.486317
$217$	−0.0972670	+	0.121969i	−0.00660291	+	0.00827979i
$218$	6.45148	+	8.08990i	0.436949	+	0.547917i
$219$	10.1464	+	44.4544i	0.685633	+	3.00395i
$220$	−0.327977	−	0.157945i	−0.0221122	−	0.0106487i
$221$	0.702025			0.0472233
$222$	20.1313			1.35113
$223$	−24.3329	−	11.7181i	−1.62945	−	0.784703i	−0.999970	−	0.00768735i	$-0.997553\pi$
$223$	−24.3329	−	11.7181i	−1.62945	−	0.784703i	−0.629482	−	0.777015i	$-0.716733\pi$
$224$	0.244445	−	1.07098i	0.0163326	−	0.0715580i
$225$	−4.91718	+	2.36799i	−0.327812	+	0.157866i
$226$	−0.334689	+	1.46637i	−0.0222632	+	0.0975414i
$227$	0.588165	−	0.737536i	0.0390379	−	0.0489520i	−0.761929	−	0.647660i	$-0.775748\pi$
$227$	0.588165	−	0.737536i	0.0390379	−	0.0489520i	0.800967	+	0.598708i	$0.204319\pi$
$228$	15.5230	+	7.47549i	1.02804	+	0.495077i
$229$	−2.87374	+	3.60356i	−0.189902	+	0.238130i	−0.867663	−	0.497153i	$-0.834379\pi$
$229$	−2.87374	+	3.60356i	−0.189902	+	0.238130i	0.677761	+	0.735282i	$0.262950\pi$
$230$	1.80084	+	7.88998i	0.118744	+	0.520250i
$231$	1.04780	−	0.504594i	0.0689402	−	0.0331998i
$232$	−0.586613	+	0.282498i	−0.0385130	+	0.0185469i
$233$	−8.05076	−	10.0953i	−0.527423	−	0.661367i	0.444744	−	0.895658i	$-0.353295\pi$
$233$	−8.05076	−	10.0953i	−0.527423	−	0.661367i	−0.972167	+	0.234291i	$0.924723\pi$
$234$	0.499110	+	2.18674i	0.0326279	+	0.142952i
$235$	0.499784	−	2.18970i	0.0326023	−	0.142840i
$236$	4.85336	+	6.08592i	0.315927	+	0.396160i
$237$	18.5540	+	23.2660i	1.20521	+	1.51129i
$238$	0.417555	−	1.82943i	0.0270661	−	0.118584i
$239$	1.76671	+	7.74048i	0.114279	+	0.500690i	0.999377	+	0.0352853i	$0.0112340\pi$
$239$	1.76671	+	7.74048i	0.114279	+	0.500690i	−0.885098	+	0.465405i	$0.845909\pi$
$240$	−1.81324	−	2.27373i	−0.117044	−	0.146768i
$241$	25.2327	−	12.1514i	1.62538	−	0.782742i	0.625383	−	0.780318i	$-0.284943\pi$
$241$	25.2327	−	12.1514i	1.62538	−	0.782742i	0.999997	−	0.00242442i	$-0.000771716\pi$
$242$	−9.79126	+	4.71522i	−0.629406	+	0.303106i
$243$	1.91548	+	8.39226i	0.122878	+	0.538364i
$244$	3.62378	−	4.54407i	0.231988	−	0.290904i
$245$	−5.21953	−	2.51359i	−0.333464	−	0.160588i
$246$	−16.9939	+	21.3097i	−1.08349	+	1.35866i
$247$	0.541791	−	2.37374i	0.0344733	−	0.151038i
$248$	−0.127949	+	0.0616169i	−0.00812476	+	0.00391268i
$249$	6.45705	−	28.2902i	0.409199	−	1.79282i
$250$	−0.900969	−	0.433884i	−0.0569823	−	0.0274412i
$251$	−18.1194			−1.14369			−0.571844	−	0.820362i	$-0.693772\pi$
$251$	−18.1194			−1.14369			−0.571844	+	0.820362i	$0.693772\pi$
$252$	5.99537			0.377673
$253$	−2.65428	−	1.27823i	−0.166873	−	0.0803619i
$254$	1.90493	+	8.34603i	0.119526	+	0.523676i
$255$	−3.09733	−	3.88393i	−0.193962	−	0.243221i
$256$	0.623490	−	0.781831i	0.0389681	−	0.0488645i
$257$	−30.0537			−1.87470			−0.937348	−	0.348394i	$-0.886727\pi$
$257$	−30.0537			−1.87470			−0.937348	+	0.348394i	$0.886727\pi$
$258$	13.7702	+	13.1932i	0.857296	+	0.821373i
$259$	−7.60427			−0.472506
$260$	−0.256241	+	0.321316i	−0.0158914	+	0.0199272i
$261$	−2.21553	−	2.77818i	−0.137138	−	0.171965i
$262$	−0.000654668	−	0.00286829i	−4.04455e−5	−	0.000177204i
$263$	−19.7727	−	9.52205i	−1.21924	−	0.587155i	−0.290140	−	0.956984i	$-0.593702\pi$
$263$	−19.7727	−	9.52205i	−1.21924	−	0.587155i	−0.929100	+	0.369829i	$0.879416\pi$
$264$	1.05867			0.0651564
$265$	8.04614			0.494270
$266$	−5.86356	−	2.82374i	−0.359518	−	0.173135i
$267$	−4.97821	+	21.8109i	−0.304661	+	1.33481i
$268$	−2.31422	+	1.11447i	−0.141363	+	0.0680769i
$269$	−3.71003	+	16.2547i	−0.226204	+	0.991066i	0.726500	+	0.687167i	$0.241146\pi$
$269$	−3.71003	+	16.2547i	−0.226204	+	0.991066i	−0.952704	+	0.303899i	$0.901711\pi$
$270$	4.45631	−	5.58804i	0.271202	−	0.340077i
$271$	14.6911	+	7.07486i	0.892421	+	0.429767i	0.823146	−	0.567830i	$-0.192217\pi$
$271$	14.6911	+	7.07486i	0.892421	+	0.429767i	0.0692751	+	0.997598i	$0.477931\pi$
$272$	1.06503	−	1.33551i	0.0645770	−	0.0809770i
$273$	−0.292163	−	1.28005i	−0.0176825	−	0.0774721i
$274$	−10.5415	+	5.07652i	−0.636835	+	0.306684i
$275$	0.327977	−	0.157945i	0.0197778	−	0.00952447i
$276$	−14.6743	−	18.4010i	−0.883289	−	1.10761i
$277$	−3.77377	−	16.5340i	−0.226744	−	0.993430i	−0.952275	−	0.305241i	$-0.901263\pi$
$277$	−3.77377	−	16.5340i	−0.226744	−	0.993430i	0.725531	−	0.688189i	$-0.241594\pi$
$278$	2.11122	−	9.24984i	0.126622	−	0.554769i
$279$	−0.483239	−	0.605962i	−0.0289308	−	0.0362780i
$280$	0.684919	+	0.858861i	0.0409317	+	0.0513268i
$281$	−3.48940	+	15.2881i	−0.208160	+	0.912009i	0.757630	+	0.652684i	$0.226357\pi$
$281$	−3.48940	+	15.2881i	−0.208160	+	0.912009i	−0.965790	+	0.259325i	$0.916500\pi$
$282$	1.45347	+	6.36809i	0.0865531	+	0.379214i
$283$	−16.2865	−	20.4226i	−0.968132	−	1.21400i	−0.976826	−	0.214037i	$-0.931339\pi$
$283$	−16.2865	−	20.4226i	−0.968132	−	1.21400i	0.00869350	−	0.999962i	$-0.497233\pi$
$284$	−0.0221864	+	0.0106844i	−0.00131652	+	0.000634003i
$285$	−15.5230	+	7.47549i	−0.919505	+	0.442810i
$286$	−0.0332908	−	0.145856i	−0.00196853	−	0.00862467i
$287$	6.41917	−	8.04938i	0.378912	−	0.475140i
$288$	4.91718	+	2.36799i	0.289747	+	0.139535i
$289$	−8.78007	+	11.0099i	−0.516474	+	0.647638i
$290$	0.144881	−	0.634767i	0.00850772	−	0.0372748i
$291$	−4.51259	+	2.17315i	−0.264533	+	0.127392i
$292$	3.48890	−	15.2859i	0.204172	−	0.894538i
$293$	7.15675	+	3.44651i	0.418102	+	0.201347i	0.631093	−	0.775707i	$-0.282606\pi$
$293$	7.15675	+	3.44651i	0.418102	+	0.201347i	−0.212992	+	0.977054i	$0.568321\pi$
$294$	16.8479			0.982592
$295$	−7.78419			−0.453213
$296$	−6.23673	−	3.00345i	−0.362503	−	0.174572i
$297$	0.578963	+	2.53660i	0.0335948	+	0.147189i
$298$	11.4422	+	14.3481i	0.662832	+	0.831165i
$299$	−2.07373	+	2.60037i	−0.119927	+	0.150384i
$300$	2.90820			0.167905
$301$	−5.20146	−	4.98350i	−0.299807	−	0.287244i
$302$	−4.21260			−0.242408
$303$	19.0677	−	23.9101i	1.09541	−	1.37360i
$304$	−3.69378	−	4.63185i	−0.211853	−	0.265655i
$305$	1.29331	+	5.66636i	0.0740547	+	0.324455i
$306$	8.39941	+	4.04494i	0.480162	+	0.231234i
$307$	−3.04177			−0.173603			−0.0868014	−	0.996226i	$-0.527665\pi$
$307$	−3.04177			−0.173603			−0.0868014	+	0.996226i	$0.527665\pi$
$308$	−0.399893			−0.0227860
$309$	4.67043	+	2.24916i	0.265691	+	0.127950i
$310$	0.0316007	−	0.138452i	0.00179480	−	0.00786354i
$311$	24.0173	−	11.5661i	1.36190	−	0.655855i	0.396837	−	0.917889i	$-0.370108\pi$
$311$	24.0173	−	11.5661i	1.36190	−	0.655855i	0.965059	+	0.262034i	$0.0843934\pi$
$312$	0.265959	−	1.16524i	0.0150570	−	0.0659690i
$313$	6.25148	−	7.83911i	0.353354	−	0.443093i	−0.573108	−	0.819480i	$-0.694262\pi$
$313$	6.25148	−	7.83911i	0.353354	−	0.443093i	0.926462	+	0.376387i	$0.122834\pi$
$314$	−17.6397	−	8.49485i	−0.995468	−	0.479392i
$315$	−3.73805	+	4.68737i	−0.210615	+	0.264103i
$316$	−2.27695	−	9.97599i	−0.128089	−	0.561193i
$317$	6.09242	−	2.93395i	0.342184	−	0.164787i	−0.254897	−	0.966968i	$-0.582041\pi$
$317$	6.09242	−	2.93395i	0.342184	−	0.164787i	0.597081	+	0.802181i	$0.296327\pi$
$318$	−21.0825	+	10.1528i	−1.18225	+	0.569341i
$319$	0.147776	+	0.185306i	0.00827388	+	0.0103751i
$320$	0.222521	+	0.974928i	0.0124393	+	0.0545001i
$321$	8.29063	−	36.3236i	0.462738	−	2.02739i
$322$	5.54297	+	6.95066i	0.308898	+	0.387345i
$323$	−6.30963	−	7.91202i	−0.351077	−	0.440237i
$324$	−0.981993	+	4.30239i	−0.0545552	+	0.239022i
$325$	−0.0914514	−	0.400675i	−0.00507281	−	0.0222254i
$326$	−11.5237	−	14.4502i	−0.638237	−	0.800324i
$327$	27.1122	−	13.0566i	1.49931	−	0.722029i
$328$	8.44403	−	4.06643i	0.466243	−	0.224531i
$329$	−0.549025	−	2.40543i	−0.0302687	−	0.132616i
$330$	−0.660067	+	0.827698i	−0.0363355	+	0.0455633i
$331$	−26.8752	−	12.9424i	−1.47719	−	0.711379i	−0.490122	−	0.871654i	$-0.663048\pi$
$331$	−26.8752	−	12.9424i	−1.47719	−	0.711379i	−0.987072	+	0.160274i	$0.948762\pi$
$332$	−6.22111	+	7.80102i	−0.341428	+	0.428137i
$333$	8.40668	−	36.8321i	0.460683	−	2.01838i
$334$	−1.73571	+	0.835874i	−0.0949738	+	0.0457370i
$335$	0.571564	−	2.50419i	0.0312279	−	0.136818i
$336$	−2.87836	−	1.38614i	−0.157027	−	0.0756203i
$337$	8.33988			0.454302			0.227151	−	0.973860i	$-0.427059\pi$
$337$	8.33988			0.454302			0.227151	+	0.973860i	$0.427059\pi$
$338$	12.8311			0.697920
$339$	3.94099	+	1.89788i	0.214045	+	0.103079i
$340$	0.380105	+	1.66535i	0.0206141	+	0.0903163i
$341$	0.0322322	+	0.0404179i	0.00174547	+	0.00218875i
$342$	20.1594	−	25.2791i	1.09009	−	1.36693i
$343$	−14.0537			−0.758828
$344$	−2.29771	−	6.14170i	−0.123884	−	0.331138i
$345$	23.5358			1.26712
$346$	−1.48454	+	1.86155i	−0.0798092	+	0.100078i
$347$	−14.6238	−	18.3377i	−0.785049	−	0.984420i	−0.999970	−	0.00778891i	$-0.997521\pi$
$347$	−14.6238	−	18.3377i	−0.785049	−	0.984420i	0.214921	−	0.976632i	$-0.431051\pi$
$348$	0.421345	+	1.84603i	0.0225864	+	0.0989577i
$349$	16.7438	+	8.06337i	0.896273	+	0.431622i	0.824541	−	0.565802i	$-0.191433\pi$
$349$	16.7438	+	8.06337i	0.896273	+	0.431622i	0.0717316	+	0.997424i	$0.477147\pi$
$350$	−1.09852			−0.0587186
$351$	2.93742			0.156788
$352$	−0.327977	−	0.157945i	−0.0174812	−	0.00841852i
$353$	0.976148	−	4.27678i	0.0519551	−	0.227630i	−0.942284	−	0.334814i	$-0.891326\pi$
$353$	0.976148	−	4.27678i	0.0519551	−	0.227630i	0.994239	+	0.107184i	$0.0341835\pi$
$354$	20.3962	−	9.82227i	1.08404	−	0.522048i
$355$	0.00547959	−	0.0240076i	0.000290826	−	0.00127419i
$356$	4.79630	−	6.01437i	0.254203	−	0.318761i
$357$	−4.91674	−	2.36778i	−0.260222	−	0.125316i
$358$	8.76367	−	10.9893i	0.463174	−	0.580802i
$359$	−3.75028	−	16.4311i	−0.197932	−	0.867198i	−0.972165	−	0.234297i	$-0.924721\pi$
$359$	−3.75028	−	16.4311i	−0.197932	−	0.867198i	0.774233	−	0.632901i	$-0.218136\pi$
$360$	−4.91718	+	2.36799i	−0.259158	+	0.124804i
$361$	−14.5038	+	6.98468i	−0.763360	+	0.367615i
$362$	−12.2352	−	15.3424i	−0.643067	−	0.806381i
$363$	7.03275	+	30.8125i	0.369123	+	1.61724i
$364$	−0.100462	+	0.440151i	−0.00526562	+	0.0230702i
$365$	9.77568	+	12.2583i	0.511683	+	0.641630i
$366$	−10.5387	−	13.2151i	−0.550866	−	0.690764i
$367$	−3.18720	+	13.9640i	−0.166371	+	0.728917i	0.821057	+	0.570846i	$0.193385\pi$
$367$	−3.18720	+	13.9640i	−0.166371	+	0.728917i	−0.987428	+	0.158071i	$0.949473\pi$
$368$	1.80084	+	7.88998i	0.0938751	+	0.411293i
$369$	31.8915	+	39.9907i	1.66021	+	2.08183i
$370$	6.23673	−	3.00345i	0.324232	−	0.156142i
$371$	7.96356	−	3.83505i	0.413447	−	0.199106i
$372$	0.0919014	+	0.402647i	0.00476487	+	0.0208762i
$373$	11.9700	−	15.0099i	0.619784	−	0.777184i	−0.368530	−	0.929616i	$-0.620139\pi$
$373$	11.9700	−	15.0099i	0.619784	−	0.777184i	0.988314	+	0.152432i	$0.0487104\pi$
$374$	−0.560243	−	0.269799i	−0.0289695	−	0.0139510i
$375$	−1.81324	+	2.27373i	−0.0936351	+	0.117415i
$376$	0.499784	−	2.18970i	0.0257744	−	0.112925i
$377$	0.241085	−	0.116101i	0.0124165	−	0.00597948i
$378$	1.74714	−	7.65470i	0.0898630	−	0.393715i
$379$	−32.6019	−	15.7002i	−1.67465	−	0.806467i	−0.997504	−	0.0706146i	$-0.977504\pi$
$379$	−32.6019	−	15.7002i	−1.67465	−	0.806467i	−0.677142	−	0.735852i	$-0.736782\pi$
$380$	5.92436			0.303913
$381$	24.8962			1.27547
$382$	−11.2473	−	5.41643i	−0.575464	−	0.277129i
$383$	4.41396	+	19.3388i	0.225543	+	0.988169i	0.953227	+	0.302256i	$0.0977397\pi$
$383$	4.41396	+	19.3388i	0.225543	+	0.988169i	−0.727684	+	0.685913i	$0.759403\pi$
$384$	−1.81324	−	2.27373i	−0.0925313	−	0.116031i
$385$	0.249329	−	0.312649i	0.0127070	−	0.0159341i
$386$	27.5251			1.40099
$387$	29.8885	−	19.6845i	1.51932	−	1.00062i
$388$	1.72223			0.0874330
$389$	−21.4449	+	26.8911i	−1.08730	+	1.36343i	−0.160867	+	0.986976i	$0.551429\pi$
$389$	−21.4449	+	26.8911i	−1.08730	+	1.36343i	−0.926434	+	0.376456i	$0.877143\pi$
$390$	0.745202	+	0.934453i	0.0377347	+	0.0473179i
$391$	3.07615	+	13.4775i	0.155567	+	0.681585i
$392$	−5.21953	−	2.51359i	−0.263626	−	0.126956i
$393$	−0.00855609			−0.000431598
$394$	8.34263			0.420296
$395$	9.21920	+	4.43973i	0.463868	+	0.223387i
$396$	0.442090	−	1.93692i	0.0222159	−	0.0973340i
$397$	−17.7616	+	8.55354i	−0.891430	+	0.429290i	−0.822786	−	0.568351i	$-0.807582\pi$
$397$	−17.7616	+	8.55354i	−0.891430	+	0.429290i	−0.0686439	+	0.997641i	$0.521867\pi$
$398$	3.16994	−	13.8884i	0.158895	−	0.696164i
$399$	−11.8006	+	14.7975i	−0.590771	+	0.740803i
$400$	−0.900969	−	0.433884i	−0.0450484	−	0.0216942i
$401$	14.4289	−	18.0933i	0.720546	−	0.903536i	−0.277823	−	0.960632i	$-0.589613\pi$
$401$	14.4289	−	18.0933i	0.720546	−	0.903536i	0.998369	+	0.0570964i	$0.0181842\pi$
$402$	1.66223	+	7.28269i	0.0829043	+	0.363227i
$403$	0.0525842	−	0.0253232i	0.00261941	−	0.00126144i
$404$	−9.47445	+	4.56265i	−0.471371	+	0.227000i
$405$	−2.75148	−	3.45025i	−0.136722	−	0.171444i
$406$	−0.159156	−	0.697307i	−0.00789876	−	0.0346067i
$407$	−0.560728	+	2.45671i	−0.0277942	+	0.121775i
$408$	−3.09733	−	3.88393i	−0.153341	−	0.192283i
$409$	14.9802	+	18.7845i	0.740722	+	0.928836i	0.999310	−	0.0371518i	$-0.0118285\pi$
$409$	14.9802	+	18.7845i	0.740722	+	0.928836i	−0.258588	+	0.965988i	$0.583257\pi$
$410$	−2.08550	+	9.13718i	−0.102996	+	0.451253i
$411$	7.57162	+	33.1734i	0.373480	+	1.63632i
$412$	−1.11135	−	1.39359i	−0.0547523	−	0.0686572i
$413$	−7.70430	+	3.71019i	−0.379104	+	0.182567i
$414$	−39.7941	+	19.1638i	−1.95578	+	0.941852i
$415$	−2.22029	−	9.72772i	−0.108990	−	0.477515i
$416$	−0.256241	+	0.321316i	−0.0125633	+	0.0157538i
$417$	−24.8597	−	11.9718i	−1.21739	−	0.586263i
$418$	−1.34464	+	1.68612i	−0.0657683	+	0.0824708i
$419$	−3.94252	+	17.2733i	−0.192605	+	0.843856i	0.782595	+	0.622531i	$0.213895\pi$
$419$	−3.94252	+	17.2733i	−0.192605	+	0.843856i	−0.975200	+	0.221326i	$0.928962\pi$
$420$	2.87836	−	1.38614i	0.140449	−	0.0676369i
$421$	−3.74917	+	16.4262i	−0.182723	+	0.800563i	0.797604	+	0.603182i	$0.206101\pi$
$421$	−3.74917	+	16.4262i	−0.182723	+	0.800563i	−0.980327	+	0.197381i	$0.936756\pi$
$422$	−18.6731	−	8.99249i	−0.908992	−	0.437748i
$423$	12.2579			0.596001
$424$	8.04614			0.390755
$425$	−1.53901	−	0.741150i	−0.0746532	−	0.0359511i
$426$	0.0159358	+	0.0698191i	0.000772090	+	0.00338275i
$427$	3.98081	+	4.99177i	0.192645	+	0.241569i
$428$	−7.98769	+	10.0162i	−0.386099	+	0.484153i
$429$	−0.435089			−0.0210063
$430$	6.23438	+	2.03287i	0.300648	+	0.0980335i
$431$	0.0386040			0.00185949			0.000929746	−	1.00000i	$-0.499704\pi$
$431$	0.0386040			0.00185949			0.000929746		1.00000i	$0.499704\pi$
$432$	4.45631	−	5.58804i	0.214404	−	0.268854i
$433$	−9.47395	−	11.8800i	−0.455289	−	0.570914i	0.500212	−	0.865903i	$-0.333255\pi$
$433$	−9.47395	−	11.8800i	−0.455289	−	0.570914i	−0.955501	+	0.294989i	$0.904684\pi$
$434$	−0.0347142	−	0.152093i	−0.00166633	−	0.00730069i
$435$	−1.70599	−	0.821561i	−0.0817959	−	0.0393908i
$436$	−10.3474			−0.495549
$437$	47.9452			2.29353
$438$	−41.0821	−	19.7841i	−1.96298	−	0.945320i
$439$	0.170480	−	0.746923i	0.00813658	−	0.0356487i	−0.970697	−	0.240308i	$-0.922752\pi$
$439$	0.170480	−	0.746923i	0.00813658	−	0.0356487i	0.978833	+	0.204659i	$0.0656087\pi$
$440$	0.327977	−	0.157945i	0.0156357	−	0.00752975i
$441$	7.03556	−	30.8248i	0.335027	−	1.46785i
$442$	−0.437705	+	0.548865i	−0.0208195	+	0.0261068i
$443$	15.3314	+	7.38321i	0.728416	+	0.350787i	0.761061	−	0.648680i	$-0.224679\pi$
$443$	15.3314	+	7.38321i	0.728416	+	0.350787i	−0.0326448	+	0.999467i	$0.510393\pi$
$444$	−12.5517	+	15.7393i	−0.595676	+	0.746955i
$445$	1.71178	+	7.49980i	0.0811461	+	0.355524i
$446$	24.3329	−	11.7181i	1.15220	−	0.554869i
$447$	48.0858	−	23.1569i	2.27438	−	1.09528i
$448$	0.684919	+	0.858861i	0.0323594	+	0.0405774i
$449$	0.845600	+	3.70482i	0.0399063	+	0.174841i	0.990954	−	0.134204i	$-0.0428477\pi$
$449$	0.845600	+	3.70482i	0.0399063	+	0.174841i	−0.951047	+	0.309045i	$0.899991\pi$
$450$	1.21444	−	5.32082i	0.0572494	−	0.250826i
$451$	−2.12717	−	2.66739i	−0.100165	−	0.125603i
$452$	−0.937778	−	1.17594i	−0.0441094	−	0.0553114i
$453$	−2.72613	+	11.9440i	−0.128085	+	0.561176i
$454$	0.209914	+	0.919692i	0.00985174	+	0.0431633i
$455$	−0.281487	−	0.352974i	−0.0131963	−	0.0165477i
$456$	−15.5230	+	7.47549i	−0.726932	+	0.350072i
$457$	−9.46593	+	4.55855i	−0.442798	+	0.213240i	−0.641978	−	0.766723i	$-0.721886\pi$
$457$	−9.46593	+	4.55855i	−0.442798	+	0.213240i	0.199181	+	0.979963i	$0.436172\pi$
$458$	−1.02563	−	4.49356i	−0.0479243	−	0.209970i
$459$	7.61217	−	9.54535i	0.355305	−	0.445539i
$460$	−7.29144	−	3.51137i	−0.339965	−	0.163718i
$461$	−11.8749	+	14.8906i	−0.553069	+	0.693526i	−0.977260	−	0.212047i	$-0.931987\pi$
$461$	−11.8749	+	14.8906i	−0.553069	+	0.693526i	0.424191	+	0.905573i	$0.360559\pi$
$462$	−0.258785	+	1.13381i	−0.0120398	+	0.0527497i
$463$	−1.28103	+	0.616912i	−0.0595345	+	0.0286703i	−0.463414	−	0.886142i	$-0.653376\pi$
$463$	−1.28103	+	0.616912i	−0.0595345	+	0.0286703i	0.403880	+	0.914812i	$0.367661\pi$
$464$	0.144881	−	0.634767i	0.00672595	−	0.0294683i
$465$	−0.372101	−	0.179195i	−0.0172558	−	0.00830995i
$466$	12.9124			0.598156
$467$	28.6180			1.32428			0.662142	−	0.749378i	$-0.269647\pi$
$467$	28.6180			1.32428			0.662142	+	0.749378i	$0.269647\pi$
$468$	−2.02086	−	0.973193i	−0.0934141	−	0.0449859i
$469$	−0.627877	−	2.75091i	−0.0289927	−	0.127025i
$470$	1.40036	+	1.75600i	0.0645939	+	0.0809982i
$471$	−35.5007	+	44.5164i	−1.63578	+	2.05121i
$472$	−7.78419			−0.358296
$473$	−1.99357	+	1.31296i	−0.0916644	+	0.0603699i
$474$	−29.7583			−1.36685
$475$	−3.69378	+	4.63185i	−0.169482	+	0.212524i
$476$	1.16996	+	1.46709i	0.0536251	+	0.0672438i
$477$	9.77157	+	42.8121i	0.447410	+	1.96023i
$478$	−7.15328	−	3.44484i	−0.327183	−	0.157563i
$479$	−5.31748			−0.242962			−0.121481	−	0.992594i	$-0.538764\pi$
$479$	−5.31748			−0.242962			−0.121481	+	0.992594i	$0.538764\pi$
$480$	2.90820			0.132741
$481$	2.56317	+	1.23436i	0.116870	+	0.0562818i
$482$	−6.23196	+	27.3040i	−0.283858	+	1.24366i
$483$	23.2942	−	11.2179i	1.05992	−	0.510432i
$484$	2.41824	−	10.5950i	0.109920	−	0.481592i
$485$	−1.07379	+	1.34649i	−0.0487584	+	0.0611411i
$486$	−7.75561	−	3.73491i	−0.351802	−	0.169419i
$487$	16.9498	−	21.2543i	0.768067	−	0.963126i	−0.231887	−	0.972743i	$-0.574490\pi$
$487$	16.9498	−	21.2543i	0.768067	−	0.963126i	0.999954	+	0.00961706i	$0.00306125\pi$
$488$	1.29331	+	5.66636i	0.0585454	+	0.256504i
$489$	−48.4280	+	23.3217i	−2.18999	+	1.05464i
$490$	5.21953	−	2.51359i	0.235794	−	0.113553i
$491$	−16.7095	−	20.9531i	−0.754091	−	0.945600i	0.245627	−	0.969364i	$-0.421006\pi$
$491$	−16.7095	−	20.9531i	−0.754091	−	0.945600i	−0.999718	+	0.0237644i	$0.992435\pi$
$492$	−6.06507	−	26.5728i	−0.273434	−	1.19799i
$493$	0.247483	−	1.08429i	0.0111461	−	0.0488341i
$494$	1.51806	+	1.90359i	0.0683010	+	0.0856467i
$495$	1.23871	+	1.55329i	0.0556758	+	0.0698153i
$496$	0.0316007	−	0.138452i	0.00141892	−	0.00621667i
$497$	−0.00601946	−	0.0263730i	−0.000270010	−	0.00118299i
$498$	18.0923	+	22.6870i	0.810733	+	1.01663i
$499$	22.5537	−	10.8613i	1.00964	−	0.486217i	0.145441	−	0.989367i	$-0.453540\pi$
$499$	22.5537	−	10.8613i	1.00964	−	0.486217i	0.864199	+	0.503150i	$0.167826\pi$
$500$	0.900969	−	0.433884i	0.0402926	−	0.0194039i
$501$	1.24670	+	5.46217i	0.0556986	+	0.244032i
$502$	11.2973	−	14.1663i	0.504222	−	0.632275i
$503$	6.93409	+	3.33928i	0.309176	+	0.148891i	0.582037	−	0.813162i	$-0.302256\pi$
$503$	6.93409	+	3.33928i	0.309176	+	0.148891i	−0.272861	+	0.962053i	$0.587970\pi$
$504$	−3.73805	+	4.68737i	−0.166506	+	0.208792i
$505$	2.34000	−	10.2522i	0.104128	−	0.456216i
$506$	2.65428	−	1.27823i	0.117997	−	0.0568244i
$507$	8.30347	−	36.3799i	0.368770	−	1.61569i
$508$	−7.71289	−	3.71433i	−0.342204	−	0.164797i
$509$	28.9734			1.28422			0.642112	−	0.766611i	$-0.278058\pi$
$509$	28.9734			1.28422			0.642112	+	0.766611i	$0.278058\pi$
$510$	4.96773			0.219975
$511$	15.5181	+	7.47310i	0.686478	+	0.330591i
$512$	0.222521	+	0.974928i	0.00983413	+	0.0430861i
$513$	−26.4008	−	33.1055i	−1.16562	−	1.46165i
$514$	18.7382	−	23.4969i	0.826505	−	1.03640i
$515$	1.78247			0.0785449
$516$	−18.9004	+	2.54016i	−0.832046	+	0.111824i
$517$	−0.817608			−0.0359584
$518$	4.74118	−	5.94525i	0.208316	−	0.261219i
$519$	4.31734	+	5.41377i	0.189510	+	0.237638i
$520$	−0.0914514	−	0.400675i	−0.00401041	−	0.0175707i
$521$	11.8346	+	5.69927i	0.518485	+	0.249689i	0.674777	−	0.738022i	$-0.264240\pi$
$521$	11.8346	+	5.69927i	0.518485	+	0.249689i	−0.156292	+	0.987711i	$0.549954\pi$
$522$	3.55343			0.155529
$523$	−30.0381			−1.31347			−0.656737	−	0.754120i	$-0.728064\pi$
$523$	−30.0381			−1.31347			−0.656737	+	0.754120i	$0.728064\pi$
$524$	0.00265070	+	0.00127651i	0.000115796	+	5.57646e-5i
$525$	−0.710895	+	3.11464i	−0.0310260	+	0.135934i
$526$	19.7727	−	9.52205i	0.862132	−	0.415181i
$527$	0.0539797	−	0.236500i	0.00235139	−	0.0103021i
$528$	−0.660067	+	0.827698i	−0.0287257	+	0.0360209i
$529$	−38.2864	−	18.4378i	−1.66463	−	0.801643i
$530$	−5.01668	+	6.29072i	−0.217911	+	0.273252i
$531$	−9.45345	−	41.4183i	−0.410245	−	1.79740i
$532$	5.86356	−	2.82374i	0.254217	−	0.122425i
$533$	−3.47032	+	1.67122i	−0.150316	+	0.0723884i
$534$	−13.9486	−	17.4910i	−0.603616	−	0.756910i
$535$	−2.85077	−	12.4901i	−0.123250	−	0.539992i
$536$	0.571564	−	2.50419i	0.0246878	−	0.108164i
$537$	−25.4865	−	31.9591i	−1.09983	−	1.37914i
$538$	−10.3953	−	13.0352i	−0.448172	−	0.561989i
$539$	−0.469274	+	2.05602i	−0.0202131	+	0.0885592i
$540$	1.59044	+	6.96817i	0.0684416	+	0.299862i
$541$	22.4743	+	28.1818i	0.966245	+	1.21163i	0.977336	+	0.211694i	$0.0678980\pi$
$541$	22.4743	+	28.1818i	0.966245	+	1.21163i	−0.0110915	+	0.999938i	$0.503531\pi$
$542$	−14.6911	+	7.07486i	−0.631037	+	0.303891i
$543$	−51.4181	+	24.7617i	−2.20656	+	1.06262i
$544$	0.380105	+	1.66535i	0.0162969	+	0.0714013i
$545$	6.45148	−	8.08990i	0.276351	−	0.346533i
$546$	1.18294	+	0.569676i	0.0506253	+	0.0243799i
$547$	4.06993	−	5.10353i	0.174018	−	0.218211i	−0.687172	−	0.726494i	$-0.741148\pi$
$547$	4.06993	−	5.10353i	0.174018	−	0.218211i	0.861190	+	0.508283i	$0.169720\pi$
$548$	2.60354	−	11.4068i	0.111218	−	0.487276i
$549$	−28.5791	+	13.7629i	−1.21972	+	0.587388i
$550$	−0.0810037	+	0.354900i	−0.00345401	+	0.0151330i
$551$	−3.47530	−	1.67362i	−0.148053	−	0.0712985i
$552$	23.5358			1.00175
$553$	11.2407			0.478003
$554$	15.2797	+	7.35831i	0.649172	+	0.312625i
$555$	−4.47964	−	19.6266i	−0.190150	−	0.833103i
$556$	5.91550	+	7.41780i	0.250873	+	0.314585i
$557$	14.2998	−	17.9314i	0.605902	−	0.759777i	−0.380383	−	0.924829i	$-0.624208\pi$
$557$	14.2998	−	17.9314i	0.605902	−	0.759777i	0.986285	+	0.165052i	$0.0527792\pi$
$558$	0.775055			0.0328107
$559$	0.944311	+	2.52411i	0.0399401	+	0.106758i
$560$	−1.09852			−0.0464211
$561$	−1.12751	+	1.41385i	−0.0476036	+	0.0596930i
$562$	−9.77708	−	12.2601i	−0.412421	−	0.517160i
$563$	9.18490	+	40.2417i	0.387097	+	1.69598i	0.674583	+	0.738199i	$0.264323\pi$
$563$	9.18490	+	40.2417i	0.387097	+	1.69598i	−0.287486	+	0.957785i	$0.592819\pi$
$564$	−5.88500	−	2.83406i	−0.247803	−	0.119336i
$565$	1.50408			0.0632771
$566$	26.1215			1.09797
$567$	−4.36774	−	2.10339i	−0.183428	−	0.0883343i
$568$	0.00547959	−	0.0240076i	0.000229918	−	0.00100734i
$569$	−30.5540	+	14.7140i	−1.28089	+	0.616844i	−0.945619	−	0.325277i	$-0.894542\pi$
$569$	−30.5540	+	14.7140i	−1.28089	+	0.616844i	−0.335272	+	0.942121i	$0.608828\pi$
$570$	3.83387	−	16.7973i	0.160583	−	0.703561i
$571$	−0.576568	+	0.722994i	−0.0241286	+	0.0302563i	−0.793749	−	0.608245i	$-0.791874\pi$
$571$	−0.576568	+	0.722994i	−0.0241286	+	0.0302563i	0.769621	+	0.638501i	$0.220445\pi$
$572$	0.134792	+	0.0649122i	0.00563592	+	0.00271412i
$573$	−22.6357	+	28.3843i	−0.945620	+	1.18577i
$574$	2.29098	+	10.0374i	0.0956235	+	0.418954i
$575$	7.29144	−	3.51137i	0.304074	−	0.146434i
$576$	−4.91718	+	2.36799i	−0.204882	+	0.0986662i
$577$	12.2867	+	15.4070i	0.511501	+	0.641402i	0.968780	−	0.247921i	$-0.0797473\pi$
$577$	12.2867	+	15.4070i	0.511501	+	0.641402i	−0.457279	+	0.889323i	$0.651176\pi$
$578$	−3.13357	−	13.7291i	−0.130339	−	0.571054i
$579$	17.8125	−	78.0416i	0.740261	−	3.24330i
$580$	0.405948	+	0.509043i	0.0168561	+	0.0211369i
$581$	−6.83404	−	8.56962i	−0.283524	−	0.355528i
$582$	1.11452	−	4.88302i	0.0461982	−	0.202408i
$583$	−0.651767	−	2.85558i	−0.0269934	−	0.118266i
$584$	9.77568	+	12.2583i	0.404521	+	0.507253i
$585$	2.02086	−	0.973193i	0.0835521	−	0.0402366i
$586$	−7.15675	+	3.44651i	−0.295643	+	0.142374i
$587$	5.15717	+	22.5950i	0.212859	+	0.932597i	0.962613	+	0.270880i	$0.0873147\pi$
$587$	5.15717	+	22.5950i	0.212859	+	0.932597i	−0.749754	+	0.661717i	$0.769828\pi$
$588$	−10.5045	+	13.1722i	−0.433199	+	0.543214i
$589$	−0.758015	−	0.365041i	−0.0312335	−	0.0150412i
$590$	4.85336	−	6.08592i	0.199810	−	0.250554i
$591$	5.39882	−	23.6538i	0.222078	−	0.972986i
$592$	6.23673	−	3.00345i	0.256328	−	0.123441i
$593$	−4.88192	+	21.3891i	−0.200476	+	0.878344i	0.770171	+	0.637837i	$0.220171\pi$
$593$	−4.88192	+	21.3891i	−0.200476	+	0.878344i	−0.970647	+	0.240507i	$0.922686\pi$
$594$	−2.34417	−	1.12889i	−0.0961826	−	0.0463191i
$595$	−1.87647			−0.0769279
$596$	−18.3519			−0.751725
$597$	−37.3263	−	17.9754i	−1.52767	−	0.735685i
$598$	−0.740105	−	3.24261i	−0.0302652	−	0.132600i
$599$	−2.28356	−	2.86349i	−0.0933036	−	0.116999i	0.732988	−	0.680242i	$-0.238125\pi$
$599$	−2.28356	−	2.86349i	−0.0933036	−	0.116999i	−0.826292	+	0.563243i	$0.809554\pi$
$600$	−1.81324	+	2.27373i	−0.0740251	+	0.0928245i
$601$	−24.1207			−0.983905			−0.491953	−	0.870622i	$-0.663717\pi$
$601$	−24.1207			−0.983905			−0.491953	+	0.870622i	$0.663717\pi$
$602$	7.13932	−	0.959502i	0.290977	−	0.0391064i
$603$	14.0185			0.570876
$604$	2.62652	−	3.29355i	0.106871	−	0.134013i
$605$	6.77577	+	8.49654i	0.275474	+	0.345434i
$606$	6.80519	+	29.8155i	0.276442	+	1.21117i
$607$	−30.5173	−	14.6964i	−1.23866	−	0.596507i	−0.304210	−	0.952605i	$-0.598393\pi$
$607$	−30.5173	−	14.6964i	−1.23866	−	0.596507i	−0.934449	+	0.356098i	$0.884107\pi$
$608$	5.92436			0.240265
$609$	−2.08006			−0.0842884
$610$	−5.23651	−	2.52177i	−0.212020	−	0.102103i
$611$	−0.205401	+	0.899919i	−0.00830962	+	0.0364068i
$612$	−8.39941	+	4.04494i	−0.339526	+	0.163507i
$613$	−10.1917	+	44.6526i	−0.411638	+	1.80350i	0.164762	+	0.986333i	$0.447315\pi$
$613$	−10.1917	+	44.6526i	−0.411638	+	1.80350i	−0.576399	+	0.817168i	$0.695543\pi$
$614$	1.89651	−	2.37815i	0.0765369	−	0.0959743i
$615$	24.5570	+	11.8260i	0.990232	+	0.476871i
$616$	0.249329	−	0.312649i	0.0100458	−	0.0125970i
$617$	−3.04923	−	13.3596i	−0.122758	−	0.537836i	−0.998485	−	0.0550296i	$-0.982475\pi$
$617$	−3.04923	−	13.3596i	−0.122758	−	0.537836i	0.875727	−	0.482806i	$-0.160382\pi$
$618$	−4.67043	+	2.24916i	−0.187872	+	0.0904745i
$619$	−6.03023	+	2.90400i	−0.242375	+	0.116722i	−0.551128	−	0.834420i	$-0.685803\pi$
$619$	−6.03023	+	2.90400i	−0.242375	+	0.116722i	0.308753	+	0.951142i	$0.400088\pi$
$620$	0.0885433	+	0.111030i	0.00355599	+	0.00445906i
$621$	12.8712	+	56.3926i	0.516505	+	2.26296i
$622$	−5.93178	+	25.9888i	−0.237843	+	1.04206i
$623$	5.26885	+	6.60693i	0.211092	+	0.264701i
$624$	0.745202	+	0.934453i	0.0298319	+	0.0374081i
$625$	−0.222521	+	0.974928i	−0.00890084	+	0.0389971i
$626$	2.23113	+	9.77521i	0.0891738	+	0.390696i
$627$	3.91048	+	4.90358i	0.156169	+	0.195830i
$628$	17.6397	−	8.49485i	0.703902	−	0.338981i
$629$	10.6534	−	5.13043i	0.424781	−	0.204564i
$630$	−1.33410	−	5.84505i	−0.0531516	−	0.232872i
$631$	0.674560	−	0.845871i	0.0268538	−	0.0336736i	−0.768223	−	0.640182i	$-0.778859\pi$
$631$	0.674560	−	0.845871i	0.0268538	−	0.0336736i	0.795077	+	0.606508i	$0.207430\pi$
$632$	9.21920	+	4.43973i	0.366720	+	0.176603i
$633$	−37.5804	+	47.1243i	−1.49369	+	1.87302i
$634$	−1.50470	+	6.59253i	−0.0597594	+	0.261823i
$635$	7.71289	−	3.71433i	0.306077	−	0.147399i
$636$	5.20695	−	22.8131i	0.206469	−	0.904600i
$637$	2.14512	+	1.03303i	0.0849926	+	0.0409303i
$638$	−0.237015			−0.00938350
$639$	0.134395			0.00531658
$640$	−0.900969	−	0.433884i	−0.0356139	−	0.0171508i
$641$	0.640820	+	2.80762i	0.0253109	+	0.110894i	0.986005	−	0.166714i	$-0.0533156\pi$
$641$	0.640820	+	2.80762i	0.0253109	+	0.110894i	−0.960694	+	0.277608i	$0.910458\pi$
$642$	23.2298	+	29.1293i	0.916808	+	1.14964i
$643$	14.7009	−	18.4343i	0.579746	−	0.726979i	−0.402323	−	0.915498i	$-0.631797\pi$
$643$	14.7009	−	18.4343i	0.579746	−	0.726979i	0.982070	+	0.188519i	$0.0603687\pi$
$644$	−8.89023			−0.350324
$645$	9.79826	−	16.3607i	0.385806	−	0.644203i
$646$	10.1199			0.398160
$647$	−21.3195	+	26.7339i	−0.838158	+	1.05102i	0.159801	+	0.987149i	$0.448915\pi$
$647$	−21.3195	+	26.7339i	−0.838158	+	1.05102i	−0.997958	+	0.0638673i	$0.979657\pi$
$648$	−2.75148	−	3.45025i	−0.108089	−	0.135539i
$649$	0.630548	+	2.76261i	0.0247512	+	0.108442i
$650$	0.370279	+	0.178317i	0.0145235	+	0.00699417i
$651$	−0.453692			−0.0177816
$652$	18.4825			0.723832
$653$	44.3369	+	21.3515i	1.73504	+	0.835549i	0.984648	+	0.174551i	$0.0558474\pi$
$653$	44.3369	+	21.3515i	1.73504	+	0.835549i	0.750388	+	0.660998i	$0.229867\pi$
$654$	−6.69616	+	29.3378i	−0.261841	+	1.14720i
$655$	−0.00265070	+	0.00127651i	−0.000103571	+	4.98773e-5i
$656$	−2.08550	+	9.13718i	−0.0814252	+	0.356747i
$657$	−53.3523	+	66.9017i	−2.08147	+	2.61008i
$658$	2.22296	+	1.07052i	0.0866599	+	0.0417332i
$659$	−18.3965	+	23.0685i	−0.716626	+	0.898620i	−0.998142	−	0.0609363i	$-0.980591\pi$
$659$	−18.3965	+	23.0685i	−0.716626	+	0.898620i	0.281516	+	0.959557i	$0.409163\pi$
$660$	−0.235575	−	1.03212i	−0.00916975	−	0.0401753i
$661$	25.1844	−	12.1282i	0.979559	−	0.471731i	0.125606	−	0.992080i	$-0.459913\pi$
$661$	25.1844	−	12.1282i	0.979559	−	0.471731i	0.853953	+	0.520349i	$0.174198\pi$
$662$	26.8752	−	12.9424i	1.04453	−	0.503021i
$663$	1.27294	+	1.59621i	0.0494367	+	0.0619917i
$664$	−2.22029	−	9.72772i	−0.0861639	−	0.377509i
$665$	−1.44818	+	6.34489i	−0.0561580	+	0.246044i
$666$	23.5550	+	29.5370i	0.912737	+	1.14454i
$667$	3.28529	+	4.11963i	0.127207	+	0.159513i
$668$	0.428685	−	1.87819i	0.0165863	−	0.0726694i
$669$	−17.4775	−	76.5741i	−0.675720	−	2.96052i
$670$	1.60149	+	2.00820i	0.0618708	+	0.0775836i
$671$	1.90623	−	0.917992i	0.0735892	−	0.0354387i
$672$	2.87836	−	1.38614i	0.111035	−	0.0534716i
$673$	7.29577	+	31.9649i	0.281231	+	1.23216i	0.896217	+	0.443617i	$0.146305\pi$
$673$	7.29577	+	31.9649i	0.281231	+	1.23216i	−0.614985	+	0.788539i	$0.710838\pi$
$674$	−5.19983	+	6.52038i	−0.200290	+	0.251156i
$675$	−6.43955	−	3.10113i	−0.247859	−	0.119362i
$676$	−8.00006	+	10.0318i	−0.307695	+	0.385837i
$677$	9.08638	−	39.8100i	0.349218	−	1.53002i	−0.429743	−	0.902951i	$-0.641396\pi$
$677$	9.08638	−	39.8100i	0.349218	−	1.53002i	0.778961	−	0.627072i	$-0.215747\pi$
$678$	−3.94099	+	1.89788i	−0.151353	+	0.0728877i
$679$	−0.420990	+	1.84448i	−0.0161561	+	0.0707845i
$680$	−1.53901	−	0.741150i	−0.0590185	−	0.0284218i
$681$	2.74344			0.105129
$682$	−0.0516964			−0.00197956
$683$	27.5114	+	13.2488i	1.05269	+	0.506951i	0.878491	−	0.477759i	$-0.158551\pi$
$683$	27.5114	+	13.2488i	1.05269	+	0.506951i	0.174203	+	0.984710i	$0.444265\pi$
$684$	7.19480	+	31.5225i	0.275100	+	1.20529i
$685$	7.29495	+	9.14757i	0.278726	+	0.349511i
$686$	8.76233	−	10.9876i	0.334547	−	0.419509i
$687$	−13.4043			−0.511405
$688$	6.23438	+	2.03287i	0.237683	+	0.0775023i
$689$	−3.30679			−0.125979
$690$	−14.6743	+	18.4010i	−0.558641	+	0.700514i
$691$	6.07172	+	7.61370i	0.230979	+	0.289639i	0.883791	−	0.467881i	$-0.154982\pi$
$691$	6.07172	+	7.61370i	0.230979	+	0.289639i	−0.652812	+	0.757520i	$0.726411\pi$
$692$	−0.529825	−	2.32131i	−0.0201409	−	0.0882432i
$693$	1.96634	+	0.946941i	0.0746952	+	0.0359713i
$694$	23.4548			0.890333
$695$	−9.48772			−0.359890
$696$	−1.70599	−	0.821561i	−0.0646654	−	0.0311412i
$697$	−3.56241	+	15.6079i	−0.134936	+	0.591192i
$698$	−16.7438	+	8.06337i	−0.633761	+	0.305203i
$699$	8.35609	−	36.6104i	0.316056	−	1.38473i
$700$	0.684919	−	0.858861i	0.0258875	−	0.0324619i
$701$	0.996374	+	0.479828i	0.0376325	+	0.0181229i	0.452605	−	0.891711i	$-0.350495\pi$
$701$	0.996374	+	0.479828i	0.0376325	+	0.0181229i	−0.414973	+	0.909834i	$0.636209\pi$
$702$	−1.83145	+	2.29656i	−0.0691236	+	0.0866782i
$703$	−9.12557	−	39.9817i	−0.344177	−	1.50794i
$704$	0.327977	−	0.157945i	0.0123611	−	0.00595279i
$705$	5.88500	−	2.83406i	0.221642	−	0.106737i
$706$	2.73511	+	3.42971i	0.102937	+	0.129079i
$707$	−2.57054	−	11.2623i	−0.0966752	−	0.423562i
$708$	−5.03743	+	22.0704i	−0.189318	+	0.829458i
$709$	7.26073	+	9.10467i	0.272683	+	0.341933i	0.899251	−	0.437433i	$-0.144112\pi$
$709$	7.26073	+	9.10467i	0.272683	+	0.341933i	−0.626568	+	0.779367i	$0.715541\pi$
$710$	0.0153535	+	0.0192526i	0.000576205	+	0.000722539i
$711$	−12.4268	+	54.4455i	−0.466043	+	2.04187i
$712$	1.71178	+	7.49980i	0.0641517	+	0.281067i
$713$	0.716571	+	0.898551i	0.0268358	+	0.0336510i
$714$	4.91674	−	2.36778i	0.184004	−	0.0886119i
$715$	−0.134792	+	0.0649122i	−0.00504092	+	0.00242758i
$716$	3.12772	+	13.7034i	0.116888	+	0.512121i
$717$	−14.3963	+	18.0523i	−0.537638	+	0.674177i
$718$	15.1846	+	7.31251i	0.566683	+	0.272900i
$719$	22.8315	−	28.6298i	0.851472	−	1.06771i	−0.145455	−	0.989365i	$-0.546464\pi$
$719$	22.8315	−	28.6298i	0.851472	−	1.06771i	0.996926	−	0.0783467i	$-0.0249641\pi$
$720$	1.21444	−	5.32082i	0.0452596	−	0.198295i
$721$	1.76417	−	0.849581i	0.0657013	−	0.0316401i
$722$	3.58215	−	15.6944i	0.133314	−	0.584087i
$723$	73.3818	+	35.3388i	2.72910	+	1.31427i
$724$	19.6237			0.729310
$725$	−0.651091			−0.0241809
$726$	−28.4750	−	13.7128i	−1.05681	−	0.508931i
$727$	−6.00607	−	26.3143i	−0.222753	−	0.975944i	−0.955395	−	0.295330i	$-0.904570\pi$
$727$	−6.00607	−	26.3143i	−0.222753	−	0.975944i	0.732642	−	0.680614i	$-0.238287\pi$
$728$	−0.281487	−	0.352974i	−0.0104326	−	0.0130821i
$729$	−23.8629	+	29.9232i	−0.883812	+	1.10827i
$730$	−15.6790			−0.580305
$731$	10.6494	+	3.47249i	0.393883	+	0.128435i
$732$	16.9027			0.624743
$733$	−13.9430	+	17.4839i	−0.514995	+	0.645784i	−0.969538	−	0.244941i	$-0.921231\pi$
$733$	−13.9430	+	17.4839i	−0.514995	+	0.645784i	0.454543	+	0.890725i	$0.349803\pi$
$734$	−8.93034	−	11.1983i	−0.329625	−	0.413336i
$735$	−3.74902	−	16.4255i	−0.138285	−	0.605865i
$736$	−7.29144	−	3.51137i	−0.268766	−	0.129431i
$737$	−0.935035			−0.0344425
$738$	−51.1500			−1.88286
$739$	−17.5403	−	8.44695i	−0.645230	−	0.310726i	0.0824992	−	0.996591i	$-0.473710\pi$
$739$	−17.5403	−	8.44695i	−0.645230	−	0.310726i	−0.727729	+	0.685865i	$0.759424\pi$
$740$	−1.54035	+	6.74870i	−0.0566243	+	0.248087i
$741$	6.37963	−	3.07227i	0.234362	−	0.112863i
$742$	−1.96684	+	8.61727i	−0.0722048	+	0.316350i
$743$	−2.31584	+	2.90397i	−0.0849600	+	0.106536i	−0.822495	−	0.568773i	$-0.807418\pi$
$743$	−2.31584	+	2.90397i	−0.0849600	+	0.106536i	0.737535	+	0.675309i	$0.235990\pi$
$744$	−0.372101	−	0.179195i	−0.0136419	−	0.00656959i
$745$	11.4422	−	14.3481i	0.419212	−	0.525675i
$746$	4.27205	+	18.7171i	0.156411	+	0.685280i
$747$	49.0630	−	23.6275i	1.79512	−	0.864485i
$748$	0.560243	−	0.269799i	0.0204845	−	0.00986482i
$749$	−8.77467	−	11.0031i	−0.320619	−	0.402044i
$750$	−0.647136	−	2.83529i	−0.0236301	−	0.103530i
$751$	6.52042	−	28.5678i	0.237933	−	1.04245i	−0.704930	−	0.709276i	$-0.749022\pi$
$751$	6.52042	−	28.5678i	0.237933	−	1.04245i	0.942864	−	0.333178i	$-0.108121\pi$
$752$	1.40036	+	1.75600i	0.0510660	+	0.0640347i
$753$	−32.8548	−	41.1986i	−1.19730	−	1.50136i
$754$	−0.0595432	+	0.260876i	−0.00216843	+	0.00950053i
$755$	0.937393	+	4.10699i	0.0341152	+	0.149469i
$756$	4.89537	+	6.13859i	0.178043	+	0.223259i
$757$	−47.6834	+	22.9631i	−1.73308	+	0.834608i	−0.747744	+	0.663987i	$0.768863\pi$
$757$	−47.6834	+	22.9631i	−1.73308	+	0.834608i	−0.985337	+	0.170621i	$0.945423\pi$
$758$	32.6019	−	15.7002i	1.18415	−	0.570258i
$759$	−1.90648	−	8.35285i	−0.0692009	−	0.303189i
$760$	−3.69378	+	4.63185i	−0.133987	+	0.168015i
$761$	−7.16397	−	3.44998i	−0.259694	−	0.125062i	0.299507	−	0.954094i	$-0.403178\pi$
$761$	−7.16397	−	3.44998i	−0.259694	−	0.125062i	−0.559201	+	0.829032i	$0.688892\pi$
$762$	−15.5225	+	19.4646i	−0.562321	+	0.705128i
$763$	2.52936	−	11.0819i	0.0915690	−	0.401190i
$764$	11.2473	−	5.41643i	0.406914	−	0.195960i
$765$	2.07448	−	9.08890i	0.0750031	−	0.328610i
$766$	−17.8718	−	8.60659i	−0.645734	−	0.310969i
$767$	3.19914			0.115514
$768$	2.90820			0.104941
$769$	10.4197	+	5.01788i	0.375745	+	0.180949i	0.612219	−	0.790689i	$-0.290277\pi$
$769$	10.4197	+	5.01788i	0.375745	+	0.180949i	−0.236473	+	0.971638i	$0.575992\pi$
$770$	0.0889845	+	0.389867i	0.00320678	+	0.0140498i
$771$	−54.4944	−	68.3338i	−1.96257	−	2.46098i
$772$	−17.1616	+	21.5200i	−0.617660	+	0.774521i
$773$	44.6958			1.60760			0.803798	−	0.594902i	$-0.202809\pi$
$773$	44.6958			1.60760			0.803798	+	0.594902i	$0.202809\pi$
$774$	−3.24522	+	35.6408i	−0.116647	+	1.28108i
$775$	−0.142012			−0.00510124
$776$	−1.07379	+	1.34649i	−0.0385469	+	0.0483363i
$777$	−13.7883	−	17.2900i	−0.494654	−	0.620276i
$778$	−7.65361	−	33.5326i	−0.274395	−	1.20220i
$779$	50.0255	+	24.0910i	1.79235	+	0.863149i
$780$	−1.19521			−0.0427954
$781$	−0.00896418			−0.000320764
$782$	−12.4551	−	5.99804i	−0.445392	−	0.214490i
$783$	1.03552	−	4.53691i	0.0370065	−	0.162136i
$784$	5.21953	−	2.51359i	0.186412	−	0.0897712i
$785$	−4.35665	+	19.0877i	−0.155496	+	0.681271i
$786$	0.00533464	−	0.00668942i	0.000190280	−	0.000238604i
$787$	0.687577	+	0.331120i	0.0245095	+	0.0118031i	0.446098	−	0.894984i	$-0.352813\pi$
$787$	0.687577	+	0.331120i	0.0245095	+	0.0118031i	−0.421589	+	0.906787i	$0.638527\pi$
$788$	−5.20154	+	6.52253i	−0.185297	+	0.232356i
$789$	−14.2021	−	62.2235i	−0.505609	−	2.21522i
$790$	−9.21920	+	4.43973i	−0.328004	+	0.157959i
$791$	1.48864	−	0.716892i	0.0529300	−	0.0254897i
$792$	1.23871	+	1.55329i	0.0440156	+	0.0551938i
$793$	−0.531523	−	2.32876i	−0.0188749	−	0.0826965i
$794$	4.38676	−	19.2196i	0.155680	−	0.682079i
$795$	14.5895	+	18.2947i	0.517438	+	0.648847i
$796$	8.88198	+	11.1377i	0.314814	+	0.394764i
$797$	−9.68989	+	42.4542i	−0.343233	+	1.50380i	0.448970	+	0.893547i	$0.351791\pi$
$797$	−9.68989	+	42.4542i	−0.343233	+	1.50380i	−0.792204	+	0.610257i	$0.791066\pi$
$798$	−4.21160	−	18.4522i	−0.149089	−	0.653202i
$799$	2.39207	+	2.99956i	0.0846253	+	0.106117i
$800$	0.900969	−	0.433884i	0.0318541	−	0.0153401i
$801$	−37.8262	+	18.2161i	−1.33652	+	0.643636i
$802$	5.14962	+	22.5620i	0.181839	+	0.796691i
$803$	3.55861	−	4.46236i	0.125581	−	0.157473i
$804$	−6.73021	−	3.24110i	−0.237356	−	0.114305i
$805$	5.54297	−	6.95066i	0.195364	−	0.244979i
$806$	−0.0129872	+	0.0569008i	−0.000457456	+	0.00200425i
$807$	−43.6859	+	21.0380i	−1.53782	+	0.740573i
$808$	2.34000	−	10.2522i	0.0823207	−	0.360671i
$809$	16.4957	+	7.94390i	0.579957	+	0.279293i	0.700775	−	0.713382i	$-0.252837\pi$
$809$	16.4957	+	7.94390i	0.579957	+	0.279293i	−0.120818	+	0.992675i	$0.538552\pi$
$810$	4.41304			0.155058
$811$	1.29477			0.0454654			0.0227327	−	0.999742i	$-0.492763\pi$
$811$	1.29477			0.0454654			0.0227327	+	0.999742i	$0.492763\pi$
$812$	0.644408	+	0.310331i	0.0226143	+	0.0108905i
$813$	10.5521	+	46.2319i	0.370080	+	1.62142i
$814$	−1.57112	−	1.97013i	−0.0550679	−	0.0690529i
$815$	−11.5237	+	14.4502i	−0.403656	+	0.506169i
$816$	4.96773			0.173905
$817$	19.9602	−	33.3288i	0.698320	−	1.16603i
$818$	−24.0263			−0.840061
$819$	1.53626	−	1.92641i	0.0536813	−	0.0673142i
$820$	−5.84345	−	7.32745i	−0.204062	−	0.255886i
$821$	−7.53752	−	33.0240i	−0.263061	−	1.15255i	−0.917911	−	0.396787i	$-0.870125\pi$
$821$	−7.53752	−	33.0240i	−0.263061	−	1.15255i	0.654850	−	0.755759i	$-0.272732\pi$
$822$	−30.6569	−	14.7636i	−1.06928	−	0.514938i
$823$	19.6299			0.684255			0.342127	−	0.939654i	$-0.388853\pi$
$823$	19.6299			0.684255			0.342127	+	0.939654i	$0.388853\pi$
$824$	1.78247			0.0620952
$825$	0.953825	+	0.459338i	0.0332079	+	0.0159921i
$826$	1.90280	−	8.33673i	0.0662070	−	0.290072i
$827$	−16.3978	+	7.89677i	−0.570208	+	0.274598i	−0.696691	−	0.717371i	$-0.745345\pi$
$827$	−16.3978	+	7.89677i	−0.570208	+	0.274598i	0.126483	+	0.991969i	$0.459631\pi$
$828$	9.82834	−	43.0608i	0.341558	−	1.49647i
$829$	−14.6477	+	18.3677i	−0.508736	+	0.637935i	−0.968175	−	0.250274i	$-0.919479\pi$
$829$	−14.6477	+	18.3677i	−0.508736	+	0.637935i	0.459439	+	0.888209i	$0.348051\pi$
$830$	8.98976	+	4.32924i	0.312039	+	0.150270i
$831$	30.7510	−	38.5605i	1.06674	−	1.33765i
$832$	−0.0914514	−	0.400675i	−0.00317051	−	0.0138909i
$833$	8.91588	−	4.29366i	0.308917	−	0.148767i
$834$	24.8597	−	11.9718i	0.860823	−	0.414550i
$835$	1.20115	+	1.50619i	0.0415675	+	0.0521240i
$836$	−0.479895	−	2.10256i	−0.0165975	−	0.0727184i
$837$	0.225862	−	0.989566i	0.00780694	−	0.0342044i
$838$	−11.0467	−	13.8521i	−0.381602	−	0.478514i
$839$	−31.7476	−	39.8102i	−1.09605	−	1.37440i	−0.920872	−	0.389864i	$-0.872522\pi$
$839$	−31.7476	−	39.8102i	−1.09605	−	1.37440i	−0.175176	−	0.984537i	$-0.556049\pi$
$840$	−0.710895	+	3.11464i	−0.0245282	+	0.107465i
$841$	6.35878	+	27.8596i	0.219268	+	0.960677i
$842$	−10.5049	−	13.1728i	−0.362024	−	0.453964i
$843$	−41.0880	+	19.7869i	−1.41514	+	0.681498i
$844$	18.6731	−	8.99249i	0.642755	−	0.309534i
$845$	−2.85519	−	12.5094i	−0.0982214	−	0.430336i
$846$	−7.64270	+	9.58364i	−0.262761	+	0.329492i
$847$	10.7559	+	5.17979i	0.369579	+	0.177980i
$848$	−5.01668	+	6.29072i	−0.172274	+	0.216024i
$849$	16.9042	−	74.0621i	0.580150	−	2.54180i
$850$	1.53901	−	0.741150i	0.0527878	−	0.0254212i
$851$	−12.4658	+	54.6164i	−0.427324	+	1.87223i
$852$	−0.0645226	−	0.0310724i	−0.00221051	−	0.00106452i
$853$	−29.3698			−1.00560			−0.502801	−	0.864402i	$-0.667697\pi$
$853$	−29.3698			−1.00560			−0.502801	+	0.864402i	$0.667697\pi$
$854$	−6.38472			−0.218481
$855$	−29.1311	−	14.0288i	−0.996264	−	0.479775i
$856$	−2.85077	−	12.4901i	−0.0974374	−	0.426901i
$857$	16.6416	+	20.8679i	0.568467	+	0.712835i	0.980098	−	0.198515i	$-0.0636120\pi$
$857$	16.6416	+	20.8679i	0.568467	+	0.712835i	−0.411630	+	0.911351i	$0.635041\pi$
$858$	0.271274	−	0.340166i	0.00926113	−	0.0116131i
$859$	40.2456			1.37316			0.686581	−	0.727053i	$-0.259111\pi$
$859$	40.2456			1.37316			0.686581	+	0.727053i	$0.259111\pi$
$860$	−5.47643	+	3.60676i	−0.186745	+	0.122990i
$861$	29.9416			1.02041
$862$	−0.0240692	+	0.0301819i	−0.000819801	+	0.00102800i
$863$	−15.2559	−	19.1304i	−0.519318	−	0.651205i	0.451146	−	0.892450i	$-0.351015\pi$
$863$	−15.2559	−	19.1304i	−0.519318	−	0.651205i	−0.970464	+	0.241246i	$0.922444\pi$
$864$	1.59044	+	6.96817i	0.0541078	+	0.237062i
$865$	2.14522	+	1.03308i	0.0729396	+	0.0351259i
$866$	15.1950			0.516348
$867$	−40.9537			−1.39086
$868$	0.140555	+	0.0676877i	0.00477074	+	0.00229747i
$869$	0.828873	−	3.63153i	0.0281176	−	0.123191i
$870$	1.70599	−	0.821561i	0.0578385	−	0.0278535i
$871$	−0.234901	+	1.02917i	−0.00795931	+	0.0348720i
$872$	6.45148	−	8.08990i	0.218475	−	0.273959i
$873$	−8.46851	−	4.07822i	−0.286616	−	0.138027i
$874$	−29.8933	+	37.4850i	−1.01116	+	1.26795i
$875$	0.244445	+	1.07098i	0.00826374	+	0.0362058i
$876$	41.0821	−	19.7841i	1.38804	−	0.668442i
$877$	52.6803	−	25.3695i	1.77889	−	0.856667i	0.820265	−	0.571984i	$-0.193826\pi$
$877$	52.6803	−	25.3695i	1.77889	−	0.856667i	0.958622	−	0.284682i	$-0.0918881\pi$
$878$	0.477675	+	0.598985i	0.0161207	+	0.0202148i
$879$	5.14046	+	22.5218i	0.173383	+	0.759642i
$880$	−0.0810037	+	0.354900i	−0.00273063	+	0.0119637i
$881$	−8.71745	−	10.9313i	−0.293698	−	0.368286i	0.612988	−	0.790093i	$-0.289968\pi$
$881$	−8.71745	−	10.9313i	−0.293698	−	0.368286i	−0.906686	+	0.421807i	$0.861396\pi$
$882$	19.7132	+	24.7196i	0.663778	+	0.832352i
$883$	2.81255	−	12.3226i	0.0946499	−	0.414688i	−0.905299	−	0.424774i	$-0.860353\pi$
$883$	2.81255	−	12.3226i	0.0946499	−	0.414688i	0.999949	+	0.0100860i	$0.00321053\pi$
$884$	−0.156215	−	0.684423i	−0.00525408	−	0.0230196i
$885$	−14.1146	−	17.6991i	−0.474456	−	0.594949i
$886$	−15.3314	+	7.38321i	−0.515068	+	0.248044i
$887$	39.6579	−	19.0982i	1.33158	−	0.641256i	0.373468	−	0.927643i	$-0.378168\pi$
$887$	39.6579	−	19.0982i	1.33158	−	0.641256i	0.958114	+	0.286387i	$0.0924542\pi$
$888$	−4.47964	−	19.6266i	−0.150327	−	0.658625i
$889$	5.86336	−	7.35242i	0.196651	−	0.246592i
$890$	−6.93085	−	3.33772i	−0.232323	−	0.111881i
$891$	−1.00161	+	1.25599i	−0.0335554	+	0.0420771i
$892$	−6.00973	+	26.3304i	−0.201221	+	0.881606i
$893$	11.9884	−	5.77333i	0.401178	−	0.193197i
$894$	−11.8762	+	52.0331i	−0.397200	+	1.74025i
$895$	−12.6639	−	6.09860i	−0.423306	−	0.203854i
$896$	−1.09852			−0.0366991
$897$	−9.67270			−0.322962
$898$	−3.42376	−	1.64880i	−0.114253	−	0.0550211i
$899$	−0.0205750	−	0.0901448i	−0.000686213	−	0.00300650i
$900$	3.40279	+	4.26697i	0.113426	+	0.142232i
$901$	−8.56939	+	10.7457i	−0.285488	+	0.357990i
$902$	3.41172			0.113598
$903$	1.89965	−	20.8630i	0.0632163	−	0.694276i
$904$	1.50408			0.0500249
$905$	−12.2352	+	15.3424i	−0.406711	+	0.510000i
$906$	−7.63845	−	9.57831i	−0.253770	−	0.318218i
$907$	−1.09785	−	4.80999i	−0.0364535	−	0.159713i	0.953425	−	0.301630i	$-0.0975306\pi$
$907$	−1.09785	−	4.80999i	−0.0364535	−	0.159713i	−0.989879	+	0.141917i	$0.954673\pi$
$908$	−0.849923	−	0.409302i	−0.0282057	−	0.0135831i
$909$	57.3918			1.90357
$910$	0.451470			0.0149661
$911$	−42.0454	−	20.2480i	−1.39303	−	0.670846i	−0.421293	−	0.906925i	$-0.638424\pi$
$911$	−42.0454	−	20.2480i	−1.39303	−	0.670846i	−0.971734	+	0.236078i	$0.924138\pi$
$912$	3.83387	−	16.7973i	0.126952	−	0.556214i
$913$	−3.27252	+	1.57596i	−0.108305	+	0.0521567i
$914$	2.33789	−	10.2430i	0.0773306	−	0.338807i
$915$	−10.5387	+	13.2151i	−0.348398	+	0.436877i
$916$	4.15267	+	1.99982i	0.137208	+	0.0660760i
$917$	−0.00201507	+	0.00252681i	−6.65434e−5	+	8.34428e-5i
$918$	2.71675	+	11.9029i	0.0896661	+	0.392853i
$919$	−0.742379	+	0.357511i	−0.0244888	+	0.0117932i	−0.446088	−	0.894989i	$-0.647183\pi$
$919$	−0.742379	+	0.357511i	−0.0244888	+	0.0117932i	0.421599	+	0.906782i	$0.361469\pi$
$920$	7.29144	−	3.51137i	0.240391	−	0.115766i
$921$	−5.51544	−	6.91614i	−0.181740	−	0.227895i
$922$	−4.23810	−	18.5683i	−0.139574	−	0.611515i
$923$	−0.00225199	+	0.00986663i	−7.41253e−5	+	0.000324764i
$924$	−0.725100	−	0.909246i	−0.0238540	−	0.0299120i
$925$	−4.31595	−	5.41204i	−0.141908	−	0.177947i
$926$	0.316388	−	1.38619i	0.0103972	−	0.0455530i
$927$	2.16471	+	9.48419i	0.0710983	+	0.311502i
$928$	0.405948	+	0.509043i	0.0133259	+	0.0167102i
$929$	11.2673	−	5.42602i	0.369666	−	0.178022i	−0.239822	−	0.970817i	$-0.577089\pi$
$929$	11.2673	−	5.42602i	0.369666	−	0.178022i	0.609489	+	0.792795i	$0.291375\pi$
$930$	0.372101	−	0.179195i	0.0122017	−	0.00587602i
$931$	−7.63720	−	33.4608i	−0.250299	−	1.09663i
$932$	−8.05076	+	10.0953i	−0.263711	+	0.330684i
$933$	69.8472	+	33.6366i	2.28670	+	1.10121i
$934$	−17.8431	+	22.3745i	−0.583843	+	0.732115i
$935$	−0.138369	+	0.606232i	−0.00452514	+	0.0198259i
$936$	2.02086	−	0.973193i	0.0660537	−	0.0318098i
$937$	−2.57500	+	11.2818i	−0.0841216	+	0.368561i	−0.999414	−	0.0342292i	$-0.989102\pi$
$937$	−2.57500	+	11.2818i	−0.0841216	+	0.368561i	0.915292	+	0.402790i	$0.131960\pi$
$938$	2.54222	+	1.22427i	0.0830065	+	0.0399738i
$939$	29.1594			0.951581
$940$	−2.24601			−0.0732567
$941$	−39.3226	−	18.9367i	−1.28188	−	0.617320i	−0.336006	−	0.941860i	$-0.609076\pi$
$941$	−39.3226	−	18.9367i	−1.28188	−	0.617320i	−0.945872	+	0.324539i	$0.894791\pi$
$942$	−12.6700	−	55.5111i	−0.412812	−	1.80865i
$943$	−47.2903	−	59.3002i	−1.53999	−	1.93108i
$944$	4.85336	−	6.08592i	0.157964	−	0.198080i
$945$	−7.85156			−0.255411
$946$	0.216457	−	2.37725i	0.00703763	−	0.0772911i
$947$	26.7770			0.870135			0.435067	−	0.900398i	$-0.356725\pi$
$947$	26.7770			0.870135			0.435067	+	0.900398i	$0.356725\pi$
$948$	18.5540	−	23.2660i	0.602606	−	0.755644i
$949$	−4.01760	−	5.03791i	−0.130417	−	0.163537i
$950$	−1.31829	−	5.77582i	−0.0427711	−	0.187393i
$951$	17.7180	+	8.53254i	0.574545	+	0.276686i
$952$	−1.87647			−0.0608169
$953$	−19.0964			−0.618594			−0.309297	−	0.950966i	$-0.600094\pi$
$953$	−19.0964			−0.618594			−0.309297	+	0.950966i	$0.600094\pi$
$954$	−39.5643	−	19.0532i	−1.28094	−	0.616869i
$955$	−2.77786	+	12.1706i	−0.0898895	+	0.393832i
$956$	7.15328	−	3.44484i	0.231354	−	0.111414i
$957$	−0.153381	+	0.672005i	−0.00495810	+	0.0217228i
$958$	3.31539	−	4.15737i	0.107115	−	0.134319i
$959$	11.5801	+	5.57668i	0.373941	+	0.180080i
$960$	−1.81324	+	2.27373i	−0.0585219	+	0.0733842i
$961$	6.89366	+	30.2031i	0.222376	+	0.974294i
$962$	−2.56317	+	1.23436i	−0.0826398	+	0.0397972i
$963$	62.9952	−	30.3369i	2.02999	−	0.977593i
$964$	−17.4616	−	21.8961i	−0.562399	−	0.705226i
$965$	−6.12491	−	26.8350i	−0.197168	−	0.863848i
$966$	−5.75319	+	25.2064i	−0.185106	+	0.811002i
$967$	22.3525	+	28.0291i	0.718807	+	0.901356i	0.998270	−	0.0588007i	$-0.0187276\pi$
$967$	22.3525	+	28.0291i	0.718807	+	0.901356i	−0.279462	+	0.960157i	$0.590156\pi$
$968$	6.77577	+	8.49654i	0.217781	+	0.273089i
$969$	6.54893	−	28.6927i	0.210382	−	0.921743i
$970$	−0.383232	−	1.67905i	−0.0123048	−	0.0539110i
$971$	−22.1400	−	27.7627i	−0.710506	−	0.890946i	0.287253	−	0.957855i	$-0.407258\pi$
$971$	−22.1400	−	27.7627i	−0.710506	−	0.890946i	−0.997759	+	0.0669083i	$0.978687\pi$
$972$	7.75561	−	3.73491i	0.248761	−	0.119797i
$973$	−9.39034	+	4.52215i	−0.301041	+	0.144974i
$974$	6.04930	+	26.5037i	0.193832	+	0.849234i
$975$	0.745202	−	0.934453i	0.0238656	−	0.0299265i
$976$	−5.23651	−	2.52177i	−0.167617	−	0.0807199i
$977$	17.7180	−	22.2177i	0.566850	−	0.710807i	−0.412958	−	0.910750i	$-0.635504\pi$
$977$	17.7180	−	22.2177i	0.566850	−	0.710807i	0.979808	+	0.199943i	$0.0640756\pi$
$978$	11.9607	−	52.4033i	0.382462	−	1.67567i
$979$	2.52302	−	1.21502i	0.0806360	−	0.0388323i
$980$	−1.28912	+	5.64800i	−0.0411794	+	0.180419i
$981$	50.8799	+	24.5025i	1.62447	+	0.782303i
$982$	26.8000			0.855223
$983$	−43.7144			−1.39427			−0.697137	−	0.716938i	$-0.745543\pi$
$983$	−43.7144			−1.39427			−0.697137	+	0.716938i	$0.745543\pi$
$984$	24.5570	+	11.8260i	0.782847	+	0.376999i
$985$	−1.85641	−	8.13346i	−0.0591501	−	0.259154i
$986$	0.693432	+	0.869536i	0.0220834	+	0.0276917i
$987$	4.47379	−	5.60995i	0.142402	−	0.178567i
$988$	−2.43479			−0.0774609
$989$	−44.3201	+	29.1891i	−1.40930	+	0.928159i
$990$	−1.98673			−0.0631426
$991$	−16.0344	+	20.1065i	−0.509350	+	0.638705i	−0.968310	−	0.249752i	$-0.919651\pi$
$991$	−16.0344	+	20.1065i	−0.509350	+	0.638705i	0.458960	+	0.888457i	$0.348222\pi$
$992$	0.0885433	+	0.111030i	0.00281125	+	0.00352520i
$993$	−19.3036	−	84.5745i	−0.612580	−	2.68389i
$994$	0.0243723	+	0.0117371i	0.000773043	+	0.000372278i
$995$	−14.2456			−0.451616
$996$	−29.0177			−0.919462
$997$	−28.0156	−	13.4916i	−0.887264	−	0.427284i	−0.0659917	−	0.997820i	$-0.521021\pi$
$997$	−28.0156	−	13.4916i	−0.887264	−	0.427284i	−0.821272	+	0.570536i	$0.806735\pi$
$998$	−5.57029	+	24.4051i	−0.176325	+	0.772528i
$999$	44.5762	−	21.4668i	1.41033	−	0.679179i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	430.2.k.d.391.4	yes	24
43.11	even	7	inner	430.2.k.d.11.4	✓	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
430.2.k.d.11.4	✓	24	43.11	even	7	inner
430.2.k.d.391.4	yes	24	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)

\(f(q)\)	\(=\)	\(q+(-0.623490 + 0.781831i) q^{2} +(1.81324 + 2.27373i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(0.900969 + 0.433884i) q^{5} -2.90820 q^{6} +1.09852 q^{7} +(0.900969 + 0.433884i) q^{8} +(-1.21444 + 5.32082i) q^{9} +O(q^{10})\)	\(q+(-0.623490 + 0.781831i) q^{2} +(1.81324 + 2.27373i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(0.900969 + 0.433884i) q^{5} -2.90820 q^{6} +1.09852 q^{7} +(0.900969 + 0.433884i) q^{8} +(-1.21444 + 5.32082i) q^{9} +(-0.900969 + 0.433884i) q^{10} +(0.0810037 - 0.354900i) q^{11} +(1.81324 - 2.27373i) q^{12} +(-0.370279 - 0.178317i) q^{13} +(-0.684919 + 0.858861i) q^{14} +(0.647136 + 2.83529i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(-1.53901 + 0.741150i) q^{17} +(-3.40279 - 4.26697i) q^{18} +(1.31829 + 5.77582i) q^{19} +(0.222521 - 0.974928i) q^{20} +(1.99188 + 2.49774i) q^{21} +(0.226967 + 0.284608i) q^{22} +(1.80084 - 7.88998i) q^{23} +(0.647136 + 2.83529i) q^{24} +(0.623490 + 0.781831i) q^{25} +(0.370279 - 0.178317i) q^{26} +(-6.43955 + 3.10113i) q^{27} +(-0.244445 - 1.07098i) q^{28} +(-0.405948 + 0.509043i) q^{29} +(-2.62020 - 1.26182i) q^{30} +(-0.0885433 + 0.111030i) q^{31} +(0.222521 - 0.974928i) q^{32} +(0.953825 - 0.459338i) q^{33} +(0.380105 - 1.66535i) q^{34} +(0.989736 + 0.476632i) q^{35} +5.45766 q^{36} -6.92225 q^{37} +(-5.33766 - 2.57048i) q^{38} +(-0.265959 - 1.16524i) q^{39} +(0.623490 + 0.781831i) q^{40} +(5.84345 - 7.32745i) q^{41} -3.19473 q^{42} +(-4.73495 - 4.53654i) q^{43} -0.364027 q^{44} +(-3.40279 + 4.26697i) q^{45} +(5.04583 + 6.32727i) q^{46} +(-0.499784 - 2.18970i) q^{47} +(-2.62020 - 1.26182i) q^{48} -5.79324 q^{49} -1.00000 q^{50} +(-4.47577 - 2.15542i) q^{51} +(-0.0914514 + 0.400675i) q^{52} +(7.24932 - 3.49109i) q^{53} +(1.59044 - 6.96817i) q^{54} +(0.226967 - 0.284608i) q^{55} +(0.989736 + 0.476632i) q^{56} +(-10.7423 + 13.4704i) q^{57} +(-0.144881 - 0.634767i) q^{58} +(-7.01331 + 3.37743i) q^{59} +(2.62020 - 1.26182i) q^{60} +(3.62378 + 4.54407i) q^{61} +(-0.0316007 - 0.138452i) q^{62} +(-1.33410 + 5.84505i) q^{63} +(0.623490 + 0.781831i) q^{64} +(-0.256241 - 0.321316i) q^{65} +(-0.235575 + 1.03212i) q^{66} +(-0.571564 - 2.50419i) q^{67} +(1.06503 + 1.33551i) q^{68} +(21.2050 - 10.2118i) q^{69} +(-0.989736 + 0.476632i) q^{70} +(-0.00547959 - 0.0240076i) q^{71} +(-3.40279 + 4.26697i) q^{72} +(14.1263 + 6.80285i) q^{73} +(4.31595 - 5.41204i) q^{74} +(-0.647136 + 2.83529i) q^{75} +(5.33766 - 2.57048i) q^{76} +(0.0889845 - 0.389867i) q^{77} +(1.07685 + 0.518582i) q^{78} +10.2325 q^{79} -1.00000 q^{80} +(-3.97601 - 1.91475i) q^{81} +(2.08550 + 9.13718i) q^{82} +(-6.22111 - 7.80102i) q^{83} +(1.99188 - 2.49774i) q^{84} -1.70818 q^{85} +(6.49901 - 0.873446i) q^{86} -1.89351 q^{87} +(0.226967 - 0.284608i) q^{88} +(4.79630 + 6.01437i) q^{89} +(-1.21444 - 5.32082i) q^{90} +(-0.406761 - 0.195886i) q^{91} -8.09288 q^{92} -0.413001 q^{93} +(2.02358 + 0.974506i) q^{94} +(-1.31829 + 5.77582i) q^{95} +(2.62020 - 1.26182i) q^{96} +(-0.383232 + 1.67905i) q^{97} +(3.61203 - 4.52934i) q^{98} +(1.78999 + 0.862012i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + 4 q^{2} + 2 q^{3} - 4 q^{4} + 4 q^{5} + 12 q^{6} - 2 q^{7} + 4 q^{8} - 4 q^{9}+O(q^{10}) \) 24 * q + 4 * q^2 + 2 * q^3 - 4 * q^4 + 4 * q^5 + 12 * q^6 - 2 * q^7 + 4 * q^8 - 4 * q^9	\( 24 q + 4 q^{2} + 2 q^{3} - 4 q^{4} + 4 q^{5} + 12 q^{6} - 2 q^{7} + 4 q^{8} - 4 q^{9} - 4 q^{10} - 9 q^{11} + 2 q^{12} - 2 q^{13} - 5 q^{14} - 2 q^{15} - 4 q^{16} + 13 q^{17} - 10 q^{18} - 3 q^{19} + 4 q^{20} - 14 q^{21} - 5 q^{22} + 11 q^{23} - 2 q^{24} - 4 q^{25} + 2 q^{26} - 13 q^{27} + 5 q^{28} + 20 q^{29} + 2 q^{30} - 5 q^{31} + 4 q^{32} + 15 q^{33} + q^{34} + 9 q^{35} + 24 q^{36} - 38 q^{37} - 18 q^{38} + 5 q^{39} - 4 q^{40} - 2 q^{41} - 14 q^{42} - 2 q^{43} - 2 q^{44} - 10 q^{45} - 4 q^{46} + 10 q^{47} + 2 q^{48} + 50 q^{49} - 24 q^{50} - 42 q^{51} - 2 q^{52} + 22 q^{53} - 29 q^{54} - 5 q^{55} + 9 q^{56} - 67 q^{57} + 22 q^{58} - 44 q^{59} - 2 q^{60} - 26 q^{61} - 2 q^{62} + 37 q^{63} - 4 q^{64} + 2 q^{65} - 8 q^{66} + 37 q^{67} - 15 q^{68} + 88 q^{69} - 9 q^{70} + 19 q^{71} - 10 q^{72} + 22 q^{73} - 4 q^{74} + 2 q^{75} + 18 q^{76} + 28 q^{77} + 23 q^{78} + 30 q^{79} - 24 q^{80} - 26 q^{81} + 37 q^{82} - 11 q^{83} - 14 q^{84} - 6 q^{85} + 16 q^{86} - 26 q^{87} - 5 q^{88} + 30 q^{89} - 4 q^{90} + 36 q^{91} - 10 q^{92} - 98 q^{93} + 4 q^{94} + 3 q^{95} - 2 q^{96} - 39 q^{97} + 41 q^{98} - 31 q^{99}+O(q^{100}) \) 24 * q + 4 * q^2 + 2 * q^3 - 4 * q^4 + 4 * q^5 + 12 * q^6 - 2 * q^7 + 4 * q^8 - 4 * q^9 - 4 * q^10 - 9 * q^11 + 2 * q^12 - 2 * q^13 - 5 * q^14 - 2 * q^15 - 4 * q^16 + 13 * q^17 - 10 * q^18 - 3 * q^19 + 4 * q^20 - 14 * q^21 - 5 * q^22 + 11 * q^23 - 2 * q^24 - 4 * q^25 + 2 * q^26 - 13 * q^27 + 5 * q^28 + 20 * q^29 + 2 * q^30 - 5 * q^31 + 4 * q^32 + 15 * q^33 + q^34 + 9 * q^35 + 24 * q^36 - 38 * q^37 - 18 * q^38 + 5 * q^39 - 4 * q^40 - 2 * q^41 - 14 * q^42 - 2 * q^43 - 2 * q^44 - 10 * q^45 - 4 * q^46 + 10 * q^47 + 2 * q^48 + 50 * q^49 - 24 * q^50 - 42 * q^51 - 2 * q^52 + 22 * q^53 - 29 * q^54 - 5 * q^55 + 9 * q^56 - 67 * q^57 + 22 * q^58 - 44 * q^59 - 2 * q^60 - 26 * q^61 - 2 * q^62 + 37 * q^63 - 4 * q^64 + 2 * q^65 - 8 * q^66 + 37 * q^67 - 15 * q^68 + 88 * q^69 - 9 * q^70 + 19 * q^71 - 10 * q^72 + 22 * q^73 - 4 * q^74 + 2 * q^75 + 18 * q^76 + 28 * q^77 + 23 * q^78 + 30 * q^79 - 24 * q^80 - 26 * q^81 + 37 * q^82 - 11 * q^83 - 14 * q^84 - 6 * q^85 + 16 * q^86 - 26 * q^87 - 5 * q^88 + 30 * q^89 - 4 * q^90 + 36 * q^91 - 10 * q^92 - 98 * q^93 + 4 * q^94 + 3 * q^95 - 2 * q^96 - 39 * q^97 + 41 * q^98 - 31 * q^99

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