LMFDB - Embedded newform 637.2.w.b.92.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [637,2,Mod(92,637)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(637, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([2, 0]))

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

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

chi := DirichletCharacter("637.92");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 637 = 7^{2} \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	637.w (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:	$5.08647060876$
Analytic rank:	$0$
Dimension:	$174$
Relative dimension:	$29$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			92.13
Character	$\chi$	$=$	637.92
Dual form			637.2.w.b.547.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.165915 + 0.208051i) q^{2} +(2.56994 + 1.23762i) q^{3} +(0.429285 + 1.88082i) q^{4} +(0.602735 + 0.290262i) q^{5} +(-0.683878 + 0.329338i) q^{6} +(1.20359 - 2.35614i) q^{7} +(-0.942039 - 0.453662i) q^{8} +(3.20241 + 4.01570i) q^{9} +O(q^{10})$	\(q+(-0.165915 + 0.208051i) q^{2} +(2.56994 + 1.23762i) q^{3} +(0.429285 + 1.88082i) q^{4} +(0.602735 + 0.290262i) q^{5} +(-0.683878 + 0.329338i) q^{6} +(1.20359 - 2.35614i) q^{7} +(-0.942039 - 0.453662i) q^{8} +(3.20241 + 4.01570i) q^{9} +(-0.160392 + 0.0772407i) q^{10} +(1.73494 - 2.17554i) q^{11} +(-1.22450 + 5.36487i) q^{12} +(0.623490 - 0.781831i) q^{13} +(0.290503 + 0.641326i) q^{14} +(1.18976 + 1.49191i) q^{15} +(-3.22559 + 1.55336i) q^{16} +(-0.144237 + 0.631941i) q^{17} -1.36680 q^{18} +2.53864 q^{19} +(-0.287185 + 1.25824i) q^{20} +(6.00914 - 4.56554i) q^{21} +(0.164771 + 0.721910i) q^{22} +(-0.353971 - 1.55085i) q^{23} +(-1.85952 - 2.33177i) q^{24} +(-2.83841 - 3.55926i) q^{25} +(0.0592144 + 0.259435i) q^{26} +(1.35594 + 5.94076i) q^{27} +(4.94815 + 1.25228i) q^{28} +(-2.19972 + 9.63760i) q^{29} -0.507791 q^{30} -7.31704 q^{31} +(0.677324 - 2.96755i) q^{32} +(7.15116 - 3.44382i) q^{33} +(-0.107545 - 0.134857i) q^{34} +(1.40934 - 1.07077i) q^{35} +(-6.17805 + 7.74703i) q^{36} +(1.26917 - 5.56059i) q^{37} +(-0.421198 + 0.528166i) q^{38} +(2.56994 - 1.23762i) q^{39} +(-0.436119 - 0.546876i) q^{40} +(-9.08059 - 4.37298i) q^{41} +(-0.0471416 + 2.00770i) q^{42} +(-7.71265 + 3.71422i) q^{43} +(4.83658 + 2.32917i) q^{44} +(0.764602 + 3.34994i) q^{45} +(0.381384 + 0.183665i) q^{46} +(-5.45509 + 6.84046i) q^{47} -10.2120 q^{48} +(-4.10275 - 5.67163i) q^{49} +1.21144 q^{50} +(-1.15278 + 1.44554i) q^{51} +(1.73814 + 0.837043i) q^{52} +(-0.642549 - 2.81519i) q^{53} +(-1.46095 - 0.703556i) q^{54} +(1.67718 - 0.807689i) q^{55} +(-2.20272 + 1.67355i) q^{56} +(6.52414 + 3.14186i) q^{57} +(-1.64014 - 2.05667i) q^{58} +(-1.54800 + 0.745477i) q^{59} +(-2.29526 + 2.87817i) q^{60} +(2.50648 - 10.9816i) q^{61} +(1.21401 - 1.52232i) q^{62} +(13.3159 - 2.71207i) q^{63} +(-3.95933 - 4.96485i) q^{64} +(0.602735 - 0.290262i) q^{65} +(-0.469996 + 2.05919i) q^{66} -1.13289 q^{67} -1.25049 q^{68} +(1.00967 - 4.42366i) q^{69} +(-0.0110562 + 0.470871i) q^{70} +(-1.00968 - 4.42372i) q^{71} +(-1.19503 - 5.23576i) q^{72} +(8.12667 + 10.1905i) q^{73} +(0.946311 + 1.18664i) q^{74} +(-2.88955 - 12.6599i) q^{75} +(1.08980 + 4.77472i) q^{76} +(-3.03772 - 6.70620i) q^{77} +(-0.168904 + 0.740017i) q^{78} +11.3252 q^{79} -2.39506 q^{80} +(-0.438916 + 1.92302i) q^{81} +(2.41641 - 1.16368i) q^{82} +(4.49089 + 5.63140i) q^{83} +(11.1666 + 9.34218i) q^{84} +(-0.270365 + 0.339027i) q^{85} +(0.506899 - 2.22087i) q^{86} +(-17.5808 + 22.0456i) q^{87} +(-2.62134 + 1.26237i) q^{88} +(6.77081 + 8.49033i) q^{89} +(-0.823816 - 0.396729i) q^{90} +(-1.09168 - 2.41003i) q^{91} +(2.76491 - 1.33151i) q^{92} +(-18.8043 - 9.05570i) q^{93} +(-0.518083 - 2.26987i) q^{94} +(1.53012 + 0.736869i) q^{95} +(5.41337 - 6.78815i) q^{96} +8.46867 q^{97} +(1.86070 + 0.0874280i) q^{98} +14.2923 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9}+O(q^{10}) $ 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9	\( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} - 10 q^{10} - 5 q^{11} + 25 q^{12} - 29 q^{13} + 15 q^{14} - 10 q^{15} - 51 q^{16} - 9 q^{17} + 44 q^{18} + 24 q^{19} + 63 q^{20} - 28 q^{21} - 8 q^{22} - 13 q^{23} - 48 q^{24} - 49 q^{25} - 3 q^{26} - 9 q^{27} - 44 q^{28} + 2 q^{29} - 22 q^{30} + 10 q^{31} + 24 q^{32} - 26 q^{33} + 118 q^{34} + 5 q^{35} - 55 q^{36} - 32 q^{37} + 16 q^{38} + 42 q^{40} - 14 q^{41} + 4 q^{42} - 50 q^{43} + 35 q^{44} - q^{45} + 4 q^{46} - 24 q^{47} - 116 q^{48} - 25 q^{49} + 156 q^{50} + 12 q^{51} - 31 q^{52} - 30 q^{53} - 78 q^{54} + 25 q^{55} + 3 q^{56} - 63 q^{57} - 12 q^{58} - 4 q^{59} + 128 q^{60} - 42 q^{61} - 38 q^{62} - 85 q^{63} - 105 q^{64} - 4 q^{65} + 15 q^{66} + 94 q^{67} + 214 q^{68} + 32 q^{69} - 57 q^{70} - 29 q^{71} - 64 q^{72} - 66 q^{73} - 90 q^{74} + 131 q^{75} - 21 q^{76} - 82 q^{77} + 19 q^{78} + 6 q^{79} + 22 q^{80} + 49 q^{81} - 50 q^{82} + 25 q^{83} + 89 q^{84} - 86 q^{85} - 28 q^{86} + 24 q^{87} + 48 q^{88} - 50 q^{89} - 155 q^{90} - 5 q^{91} - 98 q^{92} + 89 q^{93} - 28 q^{94} - 130 q^{95} - 105 q^{96} - 42 q^{97} + 195 q^{98} + 438 q^{99}+O(q^{100}) \) 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9 - 10 * q^10 - 5 * q^11 + 25 * q^12 - 29 * q^13 + 15 * q^14 - 10 * q^15 - 51 * q^16 - 9 * q^17 + 44 * q^18 + 24 * q^19 + 63 * q^20 - 28 * q^21 - 8 * q^22 - 13 * q^23 - 48 * q^24 - 49 * q^25 - 3 * q^26 - 9 * q^27 - 44 * q^28 + 2 * q^29 - 22 * q^30 + 10 * q^31 + 24 * q^32 - 26 * q^33 + 118 * q^34 + 5 * q^35 - 55 * q^36 - 32 * q^37 + 16 * q^38 + 42 * q^40 - 14 * q^41 + 4 * q^42 - 50 * q^43 + 35 * q^44 - q^45 + 4 * q^46 - 24 * q^47 - 116 * q^48 - 25 * q^49 + 156 * q^50 + 12 * q^51 - 31 * q^52 - 30 * q^53 - 78 * q^54 + 25 * q^55 + 3 * q^56 - 63 * q^57 - 12 * q^58 - 4 * q^59 + 128 * q^60 - 42 * q^61 - 38 * q^62 - 85 * q^63 - 105 * q^64 - 4 * q^65 + 15 * q^66 + 94 * q^67 + 214 * q^68 + 32 * q^69 - 57 * q^70 - 29 * q^71 - 64 * q^72 - 66 * q^73 - 90 * q^74 + 131 * q^75 - 21 * q^76 - 82 * q^77 + 19 * q^78 + 6 * q^79 + 22 * q^80 + 49 * q^81 - 50 * q^82 + 25 * q^83 + 89 * q^84 - 86 * q^85 - 28 * q^86 + 24 * q^87 + 48 * q^88 - 50 * q^89 - 155 * q^90 - 5 * q^91 - 98 * q^92 + 89 * q^93 - 28 * q^94 - 130 * q^95 - 105 * q^96 - 42 * q^97 + 195 * q^98 + 438 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/637\mathbb{Z}\right)^\times$.

$n$	$197$	$248$
$\chi(n)$	$1$	$e\left(\frac{1}{7}\right)$

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 $

$2$	−0.165915	+	0.208051i	−0.117320	+	0.147114i	−0.837023	−	0.547167i	$-0.815706\pi$
$2$	−0.165915	+	0.208051i	−0.117320	+	0.147114i	0.719704	+	0.694281i	$0.244278\pi$
$3$	2.56994	+	1.23762i	1.48375	+	0.714538i	0.988076	−	0.153968i	$-0.0492053\pi$
$3$	2.56994	+	1.23762i	1.48375	+	0.714538i	0.495678	+	0.868506i	$0.334920\pi$
$4$	0.429285	+	1.88082i	0.214642	+	0.940409i
$5$	0.602735	+	0.290262i	0.269551	+	0.129809i	0.563777	−	0.825927i	$-0.309348\pi$
$5$	0.602735	+	0.290262i	0.269551	+	0.129809i	−0.294226	+	0.955736i	$0.595062\pi$
$6$	−0.683878	+	0.329338i	−0.279192	+	0.134452i
$7$	1.20359	−	2.35614i	0.454913	−	0.890536i
$7$	1.20359	−	2.35614i	0.454913	−	0.890536i
$8$	−0.942039	−	0.453662i	−0.333061	−	0.160394i
$9$	3.20241	+	4.01570i	1.06747	+	1.33857i
$10$	−0.160392	+	0.0772407i	−0.0507204	+	0.0244256i
$11$	1.73494	−	2.17554i	0.523103	−	0.655950i	−0.448162	−	0.893953i	$-0.647921\pi$
$11$	1.73494	−	2.17554i	0.523103	−	0.655950i	0.971265	+	0.238002i	$0.0764925\pi$
$12$	−1.22450	+	5.36487i	−0.353482	+	1.54871i
$13$	0.623490	−	0.781831i	0.172925	−	0.216841i
$13$	0.623490	−	0.781831i	0.172925	−	0.216841i
$14$	0.290503	+	0.641326i	0.0776401	+	0.171402i
$15$	1.18976	+	1.49191i	0.307194	+	0.385209i
$16$	−3.22559	+	1.55336i	−0.806398	+	0.388341i
$17$	−0.144237	+	0.631941i	−0.0349825	+	0.153268i	−0.989403	−	0.145198i	$-0.953618\pi$
$17$	−0.144237	+	0.631941i	−0.0349825	+	0.153268i	0.954420	+	0.298467i	$0.0964751\pi$
$18$	−1.36680			−0.322157
$19$	2.53864			0.582404			0.291202	−	0.956662i	$-0.405945\pi$
$19$	2.53864			0.582404			0.291202	+	0.956662i	$0.405945\pi$
$20$	−0.287185	+	1.25824i	−0.0642165	+	0.281351i
$21$	6.00914	−	4.56554i	1.31130	−	0.996283i
$22$	0.164771	+	0.721910i	0.0351293	+	0.153912i
$23$	−0.353971	−	1.55085i	−0.0738080	−	0.323374i	0.924523	−	0.381126i	$-0.124464\pi$
$23$	−0.353971	−	1.55085i	−0.0738080	−	0.323374i	−0.998331	+	0.0577525i	$0.981607\pi$
$24$	−1.85952	−	2.33177i	−0.379573	−	0.475970i
$25$	−2.83841	−	3.55926i	−0.567682	−	0.711851i
$26$	0.0592144	+	0.259435i	0.0116129	+	0.0508794i
$27$	1.35594	+	5.94076i	0.260951	+	1.14330i
$28$	4.94815	+	1.25228i	0.935112	+	0.236658i
$29$	−2.19972	+	9.63760i	−0.408477	+	1.78966i	0.182758	+	0.983158i	$0.441497\pi$
$29$	−2.19972	+	9.63760i	−0.408477	+	1.78966i	−0.591236	+	0.806499i	$0.701360\pi$
$30$	−0.507791			−0.0927096
$31$	−7.31704			−1.31418			−0.657090	−	0.753812i	$-0.728213\pi$
$31$	−7.31704			−1.31418			−0.657090	+	0.753812i	$0.728213\pi$
$32$	0.677324	−	2.96755i	0.119735	−	0.524594i
$33$	7.15116	−	3.44382i	1.24486	−	0.599492i
$34$	−0.107545	−	0.134857i	−0.0184438	−	0.0231278i
$35$	1.40934	−	1.07077i	0.238222	−	0.180993i
$36$	−6.17805	+	7.74703i	−1.02968	+	1.29117i
$37$	1.26917	−	5.56059i	0.208650	−	0.914155i	−0.756817	−	0.653627i	$-0.773246\pi$
$37$	1.26917	−	5.56059i	0.208650	−	0.914155i	0.965466	−	0.260527i	$-0.0838965\pi$
$38$	−0.421198	+	0.528166i	−0.0683274	+	0.0856798i
$39$	2.56994	−	1.23762i	0.411519	−	0.198177i
$40$	−0.436119	−	0.546876i	−0.0689564	−	0.0864686i
$41$	−9.08059	−	4.37298i	−1.41815	−	0.682945i	−0.441397	−	0.897312i	$-0.645517\pi$
$41$	−9.08059	−	4.37298i	−1.41815	−	0.682945i	−0.976753	+	0.214367i	$0.931231\pi$
$42$	−0.0471416	+	2.00770i	−0.00727410	+	0.309795i
$43$	−7.71265	+	3.71422i	−1.17617	+	0.566413i	−0.916793	−	0.399364i	$-0.869231\pi$
$43$	−7.71265	+	3.71422i	−1.17617	+	0.566413i	−0.259376	+	0.965776i	$0.583517\pi$
$44$	4.83658	+	2.32917i	0.729142	+	0.351136i
$45$	0.764602	+	3.34994i	0.113980	+	0.499379i
$46$	0.381384	+	0.183665i	0.0562320	+	0.0270799i
$47$	−5.45509	+	6.84046i	−0.795706	+	0.997784i	0.204117	+	0.978947i	$0.434568\pi$
$47$	−5.45509	+	6.84046i	−0.795706	+	0.997784i	−0.999823	+	0.0188371i	$0.994004\pi$
$48$	−10.2120			−1.47398
$49$	−4.10275	−	5.67163i	−0.586107	−	0.810233i
$50$	1.21144			0.171324
$51$	−1.15278	+	1.44554i	−0.161421	+	0.202416i
$52$	1.73814	+	0.837043i	0.241036	+	0.116077i
$53$	−0.642549	−	2.81519i	−0.0882610	−	0.386697i	0.911433	−	0.411449i	$-0.134977\pi$
$53$	−0.642549	−	2.81519i	−0.0882610	−	0.386697i	−0.999694	+	0.0247528i	$0.992120\pi$
$54$	−1.46095	−	0.703556i	−0.198810	−	0.0957419i
$55$	1.67718	−	0.807689i	0.226151	−	0.108909i
$56$	−2.20272	+	1.67355i	−0.294350	+	0.223637i
$57$	6.52414	+	3.14186i	0.864144	+	0.416150i
$58$	−1.64014	−	2.05667i	−0.215361	−	0.270055i
$59$	−1.54800	+	0.745477i	−0.201532	+	0.0970528i	−0.531928	−	0.846790i	$-0.678532\pi$
$59$	−1.54800	+	0.745477i	−0.201532	+	0.0970528i	0.330395	+	0.943843i	$0.392818\pi$
$60$	−2.29526	+	2.87817i	−0.296317	+	0.371570i
$61$	2.50648	−	10.9816i	0.320921	−	1.40605i	−0.514996	−	0.857193i	$-0.672206\pi$
$61$	2.50648	−	10.9816i	0.320921	−	1.40605i	0.835917	−	0.548856i	$-0.184936\pi$
$62$	1.21401	−	1.52232i	0.154179	−	0.193334i
$63$	13.3159	−	2.71207i	1.67765	−	0.341689i
$64$	−3.95933	−	4.96485i	−0.494917	−	0.620606i
$65$	0.602735	−	0.290262i	0.0747600	−	0.0360025i
$66$	−0.469996	+	2.05919i	−0.0578525	+	0.253468i
$67$	−1.13289			−0.138404			−0.0692022	−	0.997603i	$-0.522045\pi$
$67$	−1.13289			−0.138404			−0.0692022	+	0.997603i	$0.522045\pi$
$68$	−1.25049			−0.151644
$69$	1.00967	−	4.42366i	0.121550	−	0.532546i
$70$	−0.0110562	+	0.470871i	−0.00132147	+	0.0562799i
$71$	−1.00968	−	4.42372i	−0.119828	−	0.524999i	−0.998838	−	0.0481960i	$-0.984653\pi$
$71$	−1.00968	−	4.42372i	−0.119828	−	0.524999i	0.879010	−	0.476803i	$-0.158204\pi$
$72$	−1.19503	−	5.23576i	−0.140835	−	0.617040i
$73$	8.12667	+	10.1905i	0.951154	+	1.19271i	0.981167	+	0.193160i	$0.0618737\pi$
$73$	8.12667	+	10.1905i	0.951154	+	1.19271i	−0.0300130	+	0.999550i	$0.509555\pi$
$74$	0.946311	+	1.18664i	0.110006	+	0.137944i
$75$	−2.88955	−	12.6599i	−0.333656	−	1.46184i
$76$	1.08980	+	4.77472i	0.125008	+	0.547698i
$77$	−3.03772	−	6.70620i	−0.346181	−	0.764243i
$78$	−0.168904	+	0.740017i	−0.0191246	+	0.0837904i
$79$	11.3252			1.27418			0.637090	−	0.770789i	$-0.280138\pi$
$79$	11.3252			1.27418			0.637090	+	0.770789i	$0.280138\pi$
$80$	−2.39506			−0.267776
$81$	−0.438916	+	1.92302i	−0.0487685	+	0.213669i
$82$	2.41641	−	1.16368i	0.266848	−	0.128507i
$83$	4.49089	+	5.63140i	0.492940	+	0.618127i	0.964620	−	0.263643i	$-0.0849239\pi$
$83$	4.49089	+	5.63140i	0.492940	+	0.618127i	−0.471681	+	0.881769i	$0.656353\pi$
$84$	11.1666	+	9.34218i	1.21837	+	1.01932i
$85$	−0.270365	+	0.339027i	−0.0293252	+	0.0367726i
$86$	0.506899	−	2.22087i	0.0546603	−	0.239482i
$87$	−17.5808	+	22.0456i	−1.88486	+	2.36354i
$88$	−2.62134	+	1.26237i	−0.279436	+	0.134569i
$89$	6.77081	+	8.49033i	0.717705	+	0.899973i	0.998206	−	0.0598804i	$-0.0190719\pi$
$89$	6.77081	+	8.49033i	0.717705	+	0.899973i	−0.280501	+	0.959854i	$0.590501\pi$
$90$	−0.823816	−	0.396729i	−0.0868379	−	0.0418189i
$91$	−1.09168	−	2.41003i	−0.114439	−	0.252640i
$92$	2.76491	−	1.33151i	0.288261	−	0.138819i
$93$	−18.8043	−	9.05570i	−1.94992	−	0.939032i
$94$	−0.518083	−	2.26987i	−0.0534362	−	0.234119i
$95$	1.53012	+	0.736869i	0.156988	+	0.0756012i
$96$	5.41337	−	6.78815i	0.552500	−	0.692813i
$97$	8.46867			0.859863			0.429931	−	0.902862i	$-0.358538\pi$
$97$	8.46867			0.859863			0.429931	+	0.902862i	$0.358538\pi$
$98$	1.86070	+	0.0874280i	0.187959	+	0.00883156i
$99$	14.2923			1.43643
$100$	5.47583	−	6.86647i	0.547583	−	0.686647i
$101$	4.16594	+	2.00621i	0.414527	+	0.199626i	0.629510	−	0.776992i	$-0.283256\pi$
$101$	4.16594	+	2.00621i	0.414527	+	0.199626i	−0.214984	+	0.976618i	$0.568970\pi$
$102$	−0.109482	−	0.479674i	−0.0108404	−	0.0474948i
$103$	−2.44783	−	1.17881i	−0.241192	−	0.116152i	0.309384	−	0.950937i	$-0.399877\pi$
$103$	−2.44783	−	1.17881i	−0.241192	−	0.116152i	−0.550575	+	0.834786i	$0.685592\pi$
$104$	−0.942039	+	0.453662i	−0.0923745	+	0.0444852i
$105$	4.94712	−	1.00759i	0.482789	−	0.0983304i
$106$	0.692312	+	0.333400i	0.0672433	+	0.0323827i
$107$	8.97906	+	11.2594i	0.868038	+	1.08849i	0.995321	+	0.0966193i	$0.0308029\pi$
$107$	8.97906	+	11.2594i	0.868038	+	1.08849i	−0.127283	+	0.991866i	$0.540626\pi$
$108$	−10.5914	+	5.10055i	−1.01916	+	0.490801i
$109$	11.2830	−	14.1485i	1.08072	−	1.35518i	0.150315	−	0.988638i	$-0.451971\pi$
$109$	11.2830	−	14.1485i	1.08072	−	1.35518i	0.930403	−	0.366539i	$-0.119457\pi$
$110$	−0.110229	+	0.482947i	−0.0105100	+	0.0460472i
$111$	10.1436	−	12.7196i	0.962784	−	1.20729i
$112$	−0.222349	+	9.46954i	−0.0210100	+	0.894788i
$113$	3.54333	+	4.44320i	0.333329	+	0.417981i	0.920046	−	0.391811i	$-0.128151\pi$
$113$	3.54333	+	4.44320i	0.333329	+	0.417981i	−0.586717	+	0.809792i	$0.699580\pi$
$114$	−1.73612	+	0.836071i	−0.162602	+	0.0783052i
$115$	0.236801	−	1.03749i	0.0220818	−	0.0967467i
$116$	−19.0709			−1.77069
$117$	5.13627			0.474848
$118$	0.101739	−	0.445748i	0.00936584	−	0.0410344i
$119$	1.31534	+	1.10044i	0.120577	+	0.100877i
$120$	−0.443975	−	1.94518i	−0.0405292	−	0.177570i
$121$	0.724754	+	3.17535i	0.0658867	+	0.288669i
$122$	1.86887	+	2.34349i	0.169199	+	0.212169i
$123$	−17.9245	−	22.4766i	−1.61620	−	2.02664i
$124$	−3.14109	−	13.7620i	−0.282079	−	1.23587i
$125$	−1.42201	−	6.23023i	−0.127188	−	0.557249i
$126$	−1.64506	+	3.22036i	−0.146554	+	0.286893i
$127$	−2.35536	+	10.3195i	−0.209004	+	0.915707i	0.756227	+	0.654309i	$0.227040\pi$
$127$	−2.35536	+	10.3195i	−0.209004	+	0.915707i	−0.965231	+	0.261398i	$0.915817\pi$
$128$	7.77759			0.687448
$129$	−24.4178			−2.14987
$130$	−0.0396135	+	0.173558i	−0.00347434	+	0.0152221i
$131$	4.88445	−	2.35223i	0.426757	−	0.205515i	−0.208162	−	0.978094i	$-0.566748\pi$
$131$	4.88445	−	2.35223i	0.426757	−	0.205515i	0.634918	+	0.772579i	$0.281034\pi$
$132$	9.54708	+	11.9717i	0.830967	+	1.04200i
$133$	3.05547	−	5.98138i	0.264943	−	0.518651i
$134$	0.187963	−	0.235698i	0.0162375	−	0.0203612i
$135$	−0.907103	+	3.97428i	−0.0780710	+	0.342051i
$136$	0.422564	−	0.529879i	0.0362346	−	0.0454367i
$137$	0.856778	−	0.412602i	0.0731995	−	0.0352510i	−0.396926	−	0.917851i	$-0.629923\pi$
$137$	0.856778	−	0.412602i	0.0731995	−	0.0352510i	0.470125	+	0.882600i	$0.344209\pi$
$138$	0.752826	+	0.944014i	0.0640848	+	0.0803598i
$139$	−9.52582	−	4.58739i	−0.807969	−	0.389098i	−0.0161627	−	0.999869i	$-0.505145\pi$
$139$	−9.52582	−	4.58739i	−0.807969	−	0.389098i	−0.791807	+	0.610772i	$0.790859\pi$
$140$	2.61893	+	2.19105i	0.221340	+	0.185177i
$141$	−22.4851	+	10.8282i	−1.89359	+	0.911903i
$142$	1.08788	+	0.523895i	0.0912929	+	0.0439643i
$143$	−0.619192	−	2.71286i	−0.0517794	−	0.226860i
$144$	−16.5675	−	7.97850i	−1.38063	−	0.664875i
$145$	−4.12327	+	5.17042i	−0.342419	+	0.429380i
$146$	−3.46848			−0.287054
$147$	−3.52451	−	19.6534i	−0.290697	−	1.62098i
$148$	11.0033			0.904465
$149$	−11.5527	+	14.4866i	−0.946431	+	1.18679i	0.0358475	+	0.999357i	$0.488587\pi$
$149$	−11.5527	+	14.4866i	−0.946431	+	1.18679i	−0.982278	+	0.187429i	$0.939984\pi$
$150$	3.11333	+	1.49930i	0.254202	+	0.122417i
$151$	0.298833	+	1.30927i	0.0243187	+	0.106547i	0.985631	−	0.168915i	$-0.0540263\pi$
$151$	0.298833	+	1.30927i	0.0243187	+	0.106547i	−0.961312	+	0.275462i	$0.911169\pi$
$152$	−2.39150	−	1.15168i	−0.193976	−	0.0934139i
$153$	−2.99959	+	1.44453i	−0.242503	+	0.116783i
$154$	1.89923	+	0.480659i	0.153045	+	0.0387326i
$155$	−4.41024	−	2.12386i	−0.354239	−	0.170592i
$156$	3.43097	+	4.30230i	0.274697	+	0.344459i
$157$	9.79268	−	4.71591i	0.781541	−	0.376370i	−0.000179052	−	1.00000i	$-0.500057\pi$
$157$	9.79268	−	4.71591i	0.781541	−	0.376370i	0.781720	+	0.623630i	$0.214343\pi$
$158$	−1.87901	+	2.35621i	−0.149486	+	0.187450i
$159$	1.83282	−	8.03010i	0.145352	−	0.636828i
$160$	1.26961	−	1.59204i	0.100372	−	0.125862i
$161$	−4.08004	−	1.03258i	−0.321552	−	0.0813785i
$162$	−0.327263	−	0.410374i	−0.0257122	−	0.0322421i
$163$	9.64924	−	4.64683i	0.755787	−	0.363968i	−0.0159809	−	0.999872i	$-0.505087\pi$
$163$	9.64924	−	4.64683i	0.755787	−	0.363968i	0.771768	+	0.635905i	$0.219373\pi$
$164$	4.32663	−	18.9562i	0.337853	−	1.48023i
$165$	5.30986			0.413372
$166$	−1.91672			−0.148767
$167$	2.66335	−	11.6689i	0.206096	−	0.902967i	−0.761039	−	0.648706i	$-0.775311\pi$
$167$	2.66335	−	11.6689i	0.206096	−	0.902967i	0.967136	−	0.254261i	$-0.0818323\pi$
$168$	−7.73205	+	1.57480i	−0.596541	+	0.121498i
$169$	−0.222521	−	0.974928i	−0.0171170	−	0.0749945i
$170$	−0.0256772	−	0.112499i	−0.00196935	−	0.00862830i
$171$	8.12977	+	10.1944i	0.621699	+	0.779586i
$172$	−10.2967	−	12.9116i	−0.785115	−	0.984503i
$173$	−1.52971	−	6.70211i	−0.116302	−	0.509552i	−0.999200	−	0.0399876i	$-0.987268\pi$
$173$	−1.52971	−	6.70211i	−0.116302	−	0.509552i	0.882898	−	0.469564i	$-0.155589\pi$
$174$	−1.66969	−	7.31539i	−0.126579	−	0.554579i
$175$	−11.8024	+	2.40381i	−0.892175	+	0.181711i
$176$	−2.21679	+	9.71240i	−0.167097	+	0.732099i
$177$	−4.90087			−0.368372
$178$	−2.88980			−0.216600
$179$	−4.35182	+	19.0666i	−0.325270	+	1.42510i	0.502763	+	0.864424i	$0.332317\pi$
$179$	−4.35182	+	19.0666i	−0.325270	+	1.42510i	−0.828034	+	0.560678i	$0.810540\pi$
$180$	−5.97239	+	2.87615i	−0.445156	+	0.214376i
$181$	4.17751	+	5.23843i	0.310512	+	0.389369i	0.912460	−	0.409166i	$-0.134180\pi$
$181$	4.17751	+	5.23843i	0.310512	+	0.389369i	−0.601948	+	0.798535i	$0.705609\pi$
$182$	0.682534	+	0.172736i	0.0505928	+	0.0128040i
$183$	20.0325	−	25.1199i	1.48084	−	1.85692i
$184$	−0.370106	+	1.62154i	−0.0272846	+	0.119542i
$185$	2.37900	−	2.98317i	0.174907	−	0.219327i
$186$	5.00397	−	2.40978i	0.366909	−	0.176694i
$187$	1.12457	+	1.41017i	0.0822370	+	0.103122i
$188$	−15.2074	−	7.32352i	−1.10912	−	0.534123i
$189$	15.6292	+	3.95545i	1.13686	+	0.287716i
$190$	−0.407177	+	0.196086i	−0.0295397	+	0.0142256i
$191$	−16.3617	−	7.87939i	−1.18389	−	0.570132i	−0.264849	−	0.964290i	$-0.585322\pi$
$191$	−16.3617	−	7.87939i	−1.18389	−	0.570132i	−0.919043	+	0.394157i	$0.871036\pi$
$192$	−4.03066	−	17.6595i	−0.290888	−	1.27446i
$193$	−16.5162	−	7.95377i	−1.18886	−	0.572525i	−0.268380	−	0.963313i	$-0.586488\pi$
$193$	−16.5162	−	7.95377i	−1.18886	−	0.572525i	−0.920481	+	0.390788i	$0.872202\pi$
$194$	−1.40508	+	1.76191i	−0.100879	+	0.126498i
$195$	1.90822			0.136651
$196$	8.90606	−	10.1513i	0.636147	−	0.725091i
$197$	10.0865			0.718635			0.359317	−	0.933215i	$-0.383010\pi$
$197$	10.0865			0.718635			0.359317	+	0.933215i	$0.383010\pi$
$198$	−2.37131	+	2.97353i	−0.168521	+	0.211319i
$199$	−15.1202	−	7.28149i	−1.07184	−	0.516171i	−0.187141	−	0.982333i	$-0.559922\pi$
$199$	−15.1202	−	7.28149i	−1.07184	−	0.516171i	−0.884700	+	0.466162i	$0.845636\pi$
$200$	1.05920	+	4.64064i	0.0748964	+	0.328143i
$201$	−2.91145	−	1.40208i	−0.205358	−	0.0988952i
$202$	−1.10859	+	0.533867i	−0.0779999	+	0.0375627i
$203$	20.0599	+	16.7825i	1.40793	+	1.17790i
$204$	−3.21367	−	1.54762i	−0.225002	−	0.108355i
$205$	−4.20388	−	5.27149i	−0.293611	−	0.368177i
$206$	0.651384	−	0.313690i	0.0453841	−	0.0218558i
$207$	5.09417	−	6.38789i	0.354069	−	0.443989i
$208$	−0.796655	+	3.49038i	−0.0552381	+	0.242014i
$209$	4.40438	−	5.52291i	0.304657	−	0.382028i
$210$	−0.611172	+	1.19643i	−0.0421748	+	0.0825612i
$211$	8.16518	+	10.2388i	0.562114	+	0.704869i	0.978947	−	0.204114i	$-0.0654314\pi$
$211$	8.16518	+	10.2388i	0.562114	+	0.704869i	−0.416833	+	0.908983i	$0.636860\pi$
$212$	5.01903	−	2.41704i	0.344708	−	0.166003i
$213$	2.88004	−	12.6183i	0.197337	−	0.864590i
$214$	−3.83228			−0.261970
$215$	−5.72678			−0.390563
$216$	1.41775	−	6.21156i	0.0964655	−	0.422643i
$217$	−8.80671	+	17.2400i	−0.597838	+	1.17032i
$218$	1.07158	+	4.69489i	0.0725763	+	0.317978i
$219$	8.27307	+	36.2467i	0.559042	+	2.44932i
$220$	2.23910	+	2.80775i	0.150960	+	0.189298i
$221$	0.404142	+	0.506778i	0.0271855	+	0.0340896i
$222$	0.963359	+	4.22075i	0.0646564	+	0.283278i
$223$	−4.08685	−	17.9057i	−0.273676	−	1.19905i	−0.905638	−	0.424052i	$-0.860607\pi$
$223$	−4.08685	−	17.9057i	−0.273676	−	1.19905i	0.631962	−	0.774999i	$-0.282250\pi$
$224$	−6.17674	−	5.16758i	−0.412701	−	0.345273i
$225$	5.20313	−	22.7964i	0.346876	−	1.51976i
$226$	−1.51230			−0.100597
$227$	−3.98102			−0.264230			−0.132115	−	0.991234i	$-0.542177\pi$
$227$	−3.98102			−0.264230			−0.132115	+	0.991234i	$0.542177\pi$
$228$	−3.10856	+	13.6195i	−0.205869	+	0.901972i
$229$	−2.02372	+	0.974572i	−0.133731	+	0.0644015i	−0.499553	−	0.866283i	$-0.666502\pi$
$229$	−2.02372	+	0.974572i	−0.133731	+	0.0644015i	0.365822	+	0.930685i	$0.380788\pi$
$230$	0.176562	+	0.221402i	0.0116422	+	0.0145988i
$231$	0.492949	−	20.9941i	0.0324337	−	1.38131i
$232$	6.44443	−	8.08106i	0.423098	−	0.530548i
$233$	−6.54721	+	28.6852i	−0.428922	+	1.87923i	0.0455558	+	0.998962i	$0.485494\pi$
$233$	−6.54721	+	28.6852i	−0.428922	+	1.87923i	−0.474478	+	0.880268i	$0.657363\pi$
$234$	−0.852185	+	1.06861i	−0.0557090	+	0.0698569i
$235$	−5.27349	+	2.53958i	−0.344005	+	0.165664i
$236$	−2.06664	−	2.59148i	−0.134527	−	0.168691i
$237$	29.1050	+	14.0162i	1.89057	+	0.910451i
$238$	−0.447181	+	0.0910781i	−0.0289865	+	0.00590372i
$239$	15.2645	−	7.35102i	0.987382	−	0.475498i	0.130744	−	0.991416i	$-0.458263\pi$
$239$	15.2645	−	7.35102i	0.987382	−	0.475498i	0.856638	+	0.515918i	$0.172549\pi$
$240$	−6.15515	−	2.96416i	−0.397313	−	0.191336i
$241$	−0.314180	−	1.37651i	−0.0202381	−	0.0886689i	0.963800	−	0.266625i	$-0.0859086\pi$
$241$	−0.314180	−	1.37651i	−0.0202381	−	0.0886689i	−0.984038	+	0.177956i	$0.943051\pi$
$242$	−0.780883	−	0.376053i	−0.0501970	−	0.0241736i
$243$	7.88982	−	9.89352i	0.506132	−	0.634670i
$244$	21.7304			1.39114
$245$	−0.826613	−	4.60936i	−0.0528104	−	0.294481i
$246$	7.65021			0.487759
$247$	1.58282	−	1.98479i	0.100712	−	0.126289i
$248$	6.89294	+	3.31946i	0.437702	+	0.210786i
$249$	4.57180	+	20.0304i	0.289726	+	1.26937i
$250$	1.53214	+	0.737838i	0.0969009	+	0.0466650i
$251$	9.03053	−	4.34887i	0.570002	−	0.274498i	−0.126603	−	0.991953i	$-0.540407\pi$
$251$	9.03053	−	4.34887i	0.570002	−	0.274498i	0.696605	+	0.717455i	$0.254693\pi$
$252$	10.8172	+	23.8806i	0.681422	+	1.50433i
$253$	−3.98805	−	1.92054i	−0.250726	−	0.120743i
$254$	−1.75619	−	2.20219i	−0.110193	−	0.138178i
$255$	−1.11441	+	0.536669i	−0.0697868	+	0.0336075i
$256$	6.62825	−	8.31156i	0.414266	−	0.519473i
$257$	−2.85345	+	12.5018i	−0.177993	+	0.779840i	0.804562	+	0.593869i	$0.202400\pi$
$257$	−2.85345	+	12.5018i	−0.177993	+	0.779840i	−0.982555	+	0.185971i	$0.940457\pi$
$258$	4.05128	−	5.08015i	0.252222	−	0.316276i
$259$	−11.5739	−	9.68299i	−0.719170	−	0.601671i
$260$	0.804674	+	1.00903i	0.0499038	+	0.0625773i
$261$	−45.7461	+	22.0302i	−2.83161	+	1.36363i
$262$	−0.321021	+	1.40648i	−0.0198327	+	0.0868929i
$263$	−4.24316			−0.261644			−0.130822	−	0.991406i	$-0.541762\pi$
$263$	−4.24316			−0.261644			−0.130822	+	0.991406i	$0.541762\pi$
$264$	−8.29900			−0.510768
$265$	0.429856	−	1.88332i	0.0264058	−	0.115692i
$266$	0.737481	+	1.62809i	0.0452179	+	0.0998249i
$267$	6.89279	+	30.1993i	0.421832	+	1.84817i
$268$	−0.486331	−	2.13076i	−0.0297074	−	0.130157i
$269$	−18.6156	−	23.3432i	−1.13501	−	1.42326i	−0.891299	−	0.453416i	$-0.850205\pi$
$269$	−18.6156	−	23.3432i	−1.13501	−	1.42326i	−0.243715	−	0.969847i	$-0.578366\pi$
$270$	−0.676350	−	0.848115i	−0.0411613	−	0.0516147i
$271$	2.35327	+	10.3104i	0.142951	+	0.626310i	0.994741	+	0.102426i	$0.0326605\pi$
$271$	2.35327	+	10.3104i	0.142951	+	0.626310i	−0.851789	+	0.523884i	$0.824482\pi$
$272$	−0.516386	−	2.26244i	−0.0313105	−	0.137180i
$273$	0.177153	−	7.54470i	0.0107218	−	0.456626i
$274$	−0.0563100	+	0.246710i	−0.00340181	+	0.0149043i
$275$	−12.6678			−0.763895
$276$	8.75353			0.526901
$277$	−2.58291	+	11.3165i	−0.155192	+	0.679940i	0.836135	+	0.548523i	$0.184810\pi$
$277$	−2.58291	+	11.3165i	−0.155192	+	0.679940i	−0.991327	+	0.131417i	$0.958047\pi$
$278$	2.53489	−	1.22074i	0.152032	−	0.0732150i
$279$	−23.4322	−	29.3830i	−1.40285	−	1.75912i
$280$	−1.81342	+	0.369342i	−0.108373	+	0.0220724i
$281$	−20.0026	+	25.0825i	−1.19325	+	1.49629i	−0.369611	+	0.929187i	$0.620509\pi$
$281$	−20.0026	+	25.0825i	−1.19325	+	1.49629i	−0.823644	+	0.567107i	$0.808062\pi$
$282$	1.47779	−	6.47461i	0.0880010	−	0.385557i
$283$	9.35727	−	11.7336i	0.556232	−	0.697493i	−0.421624	−	0.906771i	$-0.638540\pi$
$283$	9.35727	−	11.7336i	0.556232	−	0.697493i	0.977856	+	0.209278i	$0.0671114\pi$
$284$	7.88677	−	3.79807i	0.467994	−	0.225374i
$285$	3.02036	+	3.78742i	0.178911	+	0.224347i
$286$	0.667145	+	0.321280i	0.0394491	+	0.0189977i
$287$	−21.2326	+	16.1318i	−1.25332	+	0.952232i
$288$	14.0859	−	6.78340i	0.830018	−	0.399715i
$289$	14.9379	+	7.19373i	0.878701	+	0.423160i
$290$	−0.391597	−	1.71570i	−0.0229954	−	0.100749i
$291$	21.7639	+	10.4810i	1.27582	+	0.614405i
$292$	−15.6779	+	19.6594i	−0.917477	+	1.15048i
$293$	−23.4083			−1.36753			−0.683763	−	0.729704i	$-0.739658\pi$
$293$	−23.4083			−1.36753			−0.683763	+	0.729704i	$0.739658\pi$
$294$	4.67367	+	2.52751i	0.272574	+	0.147408i
$295$	−1.14942			−0.0669216
$296$	−3.71823	+	4.66252i	−0.216118	+	0.271003i
$297$	15.2768	+	7.35693i	0.886452	+	0.426893i
$298$	−1.09718	−	4.80708i	−0.0635582	−	0.278467i
$299$	−1.43320	−	0.690192i	−0.0828840	−	0.0399148i
$300$	22.5706	−	10.8694i	1.30311	−	0.627546i
$301$	−0.531654	+	22.6424i	−0.0306440	+	1.30509i
$302$	−0.321977	−	0.155056i	−0.0185277	−	0.00892246i
$303$	8.22329	+	10.3117i	0.472415	+	0.592390i
$304$	−8.18861	+	3.94343i	−0.469649	+	0.226171i
$305$	4.69828	−	5.89145i	0.269022	−	0.337343i
$306$	0.197142	−	0.863736i	0.0112699	−	0.0493765i
$307$	6.91983	−	8.67719i	0.394935	−	0.495233i	−0.544116	−	0.839010i	$-0.683135\pi$
$307$	6.91983	−	8.67719i	0.394935	−	0.495233i	0.939051	+	0.343777i	$0.111706\pi$
$308$	11.3091	−	8.59227i	0.644396	−	0.489590i
$309$	−4.83185	−	6.05894i	−0.274874	−	0.344681i
$310$	1.17359	−	0.565173i	0.0666557	−	0.0320997i
$311$	1.43377	−	6.28178i	0.0813019	−	0.356207i	−0.917871	−	0.396880i	$-0.870093\pi$
$311$	1.43377	−	6.28178i	0.0813019	−	0.356207i	0.999173	+	0.0406728i	$0.0129501\pi$
$312$	−2.98244			−0.168847
$313$	6.88845			0.389358			0.194679	−	0.980867i	$-0.437633\pi$
$313$	6.88845			0.389358			0.194679	+	0.980867i	$0.437633\pi$
$314$	−0.643604	+	2.81981i	−0.0363207	+	0.159131i
$315$	8.81318	+	2.23044i	0.496566	+	0.125671i
$316$	4.86172	+	21.3006i	0.273493	+	1.19825i
$317$	2.03787	+	8.92848i	0.114458	+	0.501473i	0.999363	+	0.0357008i	$0.0113663\pi$
$317$	2.03787	+	8.92848i	0.114458	+	0.501473i	−0.884905	+	0.465772i	$0.845777\pi$
$318$	1.36658	+	1.71363i	0.0766338	+	0.0960958i
$319$	17.1506	+	21.5062i	0.960250	+	1.20412i
$320$	−0.945323	−	4.14173i	−0.0528451	−	0.231530i
$321$	9.14082	+	40.0485i	0.510191	+	2.23529i
$322$	0.891768	−	0.677536i	0.0496963	−	0.0377576i
$323$	−0.366164	+	1.60427i	−0.0203739	+	0.0892640i
$324$	−3.80527			−0.211404
$325$	−4.55246			−0.252525
$326$	−0.634177	+	2.77851i	−0.0351238	+	0.153888i
$327$	46.5070	−	22.3966i	2.57185	−	1.23854i
$328$	6.57041	+	8.23904i	0.362790	+	0.454925i
$329$	9.55138	+	21.0860i	0.526585	+	1.16251i
$330$	−0.880986	+	1.10472i	−0.0484967	+	0.0608129i
$331$	0.0303352	−	0.132907i	0.00166738	−	0.00730525i	−0.974087	−	0.226172i	$-0.927379\pi$
$331$	0.0303352	−	0.132907i	0.00166738	−	0.00730525i	0.975755	+	0.218867i	$0.0702360\pi$
$332$	−8.66377	+	10.8640i	−0.475486	+	0.596241i
$333$	26.3940	−	12.7107i	1.44638	−	0.696542i
$334$	1.98584	+	2.49016i	0.108660	+	0.136255i
$335$	−0.682831	−	0.328834i	−0.0373070	−	0.0179661i
$336$	−12.2911	+	24.0609i	−0.670534	+	1.31263i
$337$	−0.302103	+	0.145485i	−0.0164566	+	0.00792507i	−0.442094	−	0.896969i	$-0.645764\pi$
$337$	−0.302103	+	0.145485i	−0.0164566	+	0.00792507i	0.425637	+	0.904894i	$0.360050\pi$
$338$	0.239754	+	0.115460i	0.0130409	+	0.00628017i
$339$	3.60716	+	15.8040i	0.195914	+	0.858357i
$340$	−0.753711	−	0.362968i	−0.0408757	−	0.0196847i
$341$	−12.6946	+	15.9185i	−0.687452	+	0.862037i
$342$	−3.46981			−0.187626
$343$	−18.3012	+	2.84033i	−0.988170	+	0.153364i
$344$	8.95062			0.482585
$345$	1.89258	−	2.37322i	0.101893	−	0.127770i
$346$	1.64818	+	0.793722i	0.0886068	+	0.0426708i
$347$	4.41052	+	19.3237i	0.236769	+	1.03735i	0.943890	+	0.330260i	$0.107136\pi$
$347$	4.41052	+	19.3237i	0.236769	+	1.03735i	−0.707121	+	0.707092i	$0.750006\pi$
$348$	−49.0109	−	23.6024i	−2.62726	−	1.26522i
$349$	17.8826	−	8.61183i	0.957236	−	0.460981i	0.111019	−	0.993818i	$-0.464589\pi$
$349$	17.8826	−	8.61183i	0.957236	−	0.460981i	0.846217	+	0.532838i	$0.178874\pi$
$350$	1.45808	−	2.85432i	0.0779374	−	0.152570i
$351$	5.49008	+	2.64389i	0.293039	+	0.141120i
$352$	−5.28092	−	6.62206i	−0.281474	−	0.352957i
$353$	3.91285	−	1.88433i	0.208260	−	0.100293i	−0.326846	−	0.945078i	$-0.605986\pi$
$353$	3.91285	−	1.88433i	0.208260	−	0.100293i	0.535106	+	0.844785i	$0.320272\pi$
$354$	0.813128	−	1.01963i	0.0432173	−	0.0541928i
$355$	0.675464	−	2.95940i	0.0358499	−	0.157069i
$356$	−13.0622	+	16.3794i	−0.692293	+	0.868109i
$357$	2.01842	+	4.45594i	0.106826	+	0.235833i
$358$	−3.24478	−	4.06883i	−0.171492	−	0.215044i
$359$	−3.39742	+	1.63611i	−0.179309	+	0.0863506i	−0.521385	−	0.853322i	$-0.674584\pi$
$359$	−3.39742	+	1.63611i	−0.179309	+	0.0863506i	0.342076	+	0.939672i	$0.388870\pi$
$360$	0.799455	−	3.50264i	0.0421350	−	0.184605i
$361$	−12.5553			−0.660806
$362$	−1.78297			−0.0937109
$363$	−2.06730	+	9.05743i	−0.108505	+	0.475392i
$364$	4.06419	−	3.08783i	0.213021	−	0.161846i
$365$	1.94031	+	8.50104i	0.101560	+	0.444965i
$366$	1.90254	+	8.33555i	0.0994471	+	0.435706i
$367$	2.05023	+	2.57091i	0.107021	+	0.134200i	0.832457	−	0.554089i	$-0.186933\pi$
$367$	2.05023	+	2.57091i	0.107021	+	0.134200i	−0.725436	+	0.688289i	$0.758362\pi$
$368$	3.55079	+	4.45255i	0.185098	+	0.232105i
$369$	−11.5192	−	50.4690i	−0.599667	−	2.62731i
$370$	0.225939	+	0.989904i	0.0117460	+	0.0514627i
$371$	−7.40634	−	1.87440i	−0.384518	−	0.0973139i
$372$	8.95970	−	39.2550i	0.464539	−	2.03528i
$373$	24.4567			1.26632			0.633159	−	0.774022i	$-0.281758\pi$
$373$	24.4567			1.26632			0.633159	+	0.774022i	$0.281758\pi$
$374$	−0.479971			−0.0248187
$375$	4.05616	−	17.7712i	0.209459	−	0.917701i
$376$	8.24216	−	3.96921i	0.425057	−	0.204697i
$377$	6.16347	+	7.72875i	0.317435	+	0.398051i
$378$	−3.41606	+	2.59540i	−0.175703	+	0.133493i
$379$	19.8281	−	24.8636i	1.01850	−	1.27716i	0.0581664	−	0.998307i	$-0.481475\pi$
$379$	19.8281	−	24.8636i	1.01850	−	1.27716i	0.960334	−	0.278852i	$-0.0899540\pi$
$380$	−0.729058	+	3.19421i	−0.0373999	+	0.163860i
$381$	−18.8247	+	23.6054i	−0.964418	+	1.20934i
$382$	4.35397	−	2.09676i	0.222768	−	0.107280i
$383$	1.33091	+	1.66890i	0.0680061	+	0.0852769i	0.814671	−	0.579923i	$-0.196918\pi$
$383$	1.33091	+	1.66890i	0.0680061	+	0.0852769i	−0.746665	+	0.665200i	$0.768346\pi$
$384$	19.9879	+	9.62567i	1.02000	+	0.491208i
$385$	0.115613	−	4.92379i	0.00589217	−	0.250940i
$386$	4.39507	−	2.11655i	0.223703	−	0.107730i
$387$	−39.6143	−	19.0772i	−2.01371	−	0.969750i
$388$	3.63547	+	15.9280i	0.184563	+	0.808623i
$389$	1.93921	+	0.933875i	0.0983219	+	0.0473494i	0.482398	−	0.875952i	$-0.339766\pi$
$389$	1.93921	+	0.933875i	0.0983219	+	0.0473494i	−0.384076	+	0.923301i	$0.625480\pi$
$390$	−0.316603	+	0.397007i	−0.0160318	+	0.0201032i
$391$	1.03110			0.0521450
$392$	1.29195	+	7.20416i	0.0652532	+	0.363865i
$393$	15.4639			0.780050
$394$	−1.67351	+	2.09851i	−0.0843100	+	0.105721i
$395$	6.82607	+	3.28726i	0.343457	+	0.165400i
$396$	6.13546	+	26.8812i	0.308319	+	1.35083i
$397$	−16.3507	−	7.87409i	−0.820619	−	0.395189i	−0.0240306	−	0.999711i	$-0.507650\pi$
$397$	−16.3507	−	7.87409i	−0.820619	−	0.395189i	−0.796589	+	0.604522i	$0.793364\pi$
$398$	4.02358	−	1.93766i	0.201684	−	0.0971259i
$399$	15.2550	−	11.5903i	0.763707	−	0.580239i
$400$	14.6844	+	7.07162i	0.734219	+	0.353581i
$401$	9.84058	+	12.3397i	0.491415	+	0.616215i	0.964269	−	0.264926i	$-0.0853475\pi$
$401$	9.84058	+	12.3397i	0.491415	+	0.616215i	−0.472854	+	0.881141i	$0.656776\pi$
$402$	0.774758	−	0.373104i	0.0386414	−	0.0186087i
$403$	−4.56210	+	5.72070i	−0.227255	+	0.284968i
$404$	−1.98495	+	8.69661i	−0.0987547	+	0.432673i
$405$	−0.822729	+	1.03167i	−0.0408817	+	0.0512640i
$406$	−6.81986	+	1.38901i	−0.338464	+	0.0689355i
$407$	−9.89536	−	12.4084i	−0.490495	−	0.615061i
$408$	1.74175	−	0.838783i	0.0862295	−	0.0415259i
$409$	2.70885	−	11.8683i	0.133944	−	0.586848i	−0.862752	−	0.505627i	$-0.831261\pi$
$409$	2.70885	−	11.8683i	0.133944	−	0.586848i	0.996696	−	0.0812206i	$-0.0258818\pi$
$410$	1.79422			0.0886105
$411$	2.71251			0.133798
$412$	1.16632	−	5.10997i	0.0574603	−	0.251750i
$413$	−0.106708	+	4.54454i	−0.00525074	+	0.223622i
$414$	0.483806	+	2.11969i	0.0237778	+	0.104177i
$415$	1.07224	+	4.69778i	0.0526340	+	0.230605i
$416$	−1.89782	−	2.37979i	−0.0930483	−	0.116679i
$417$	−18.8033	−	23.5786i	−0.920803	−	1.15465i
$418$	0.418295	+	1.83267i	0.0204595	+	0.0896387i
$419$	−3.82942	−	16.7778i	−0.187079	−	0.819648i	−0.978146	−	0.207918i	$-0.933331\pi$
$419$	−3.82942	−	16.7778i	−0.187079	−	0.819648i	0.791067	−	0.611730i	$-0.209526\pi$
$420$	4.01881	+	8.87209i	0.196098	+	0.432913i
$421$	0.340345	−	1.49115i	0.0165874	−	0.0726741i	−0.965957	−	0.258703i	$-0.916705\pi$
$421$	0.340345	−	1.49115i	0.0165874	−	0.0726741i	0.982544	+	0.186029i	$0.0595619\pi$
$422$	−3.48492			−0.169643
$423$	−44.9387			−2.18499
$424$	−0.671840	+	2.94352i	−0.0326274	+	0.142950i
$425$	2.65864	−	1.28034i	0.128963	−	0.0621054i
$426$	2.14740	+	2.69276i	0.104042	+	0.130464i
$427$	−22.8574	−	19.1229i	−1.10615	−	0.925422i
$428$	−17.3223	+	21.7215i	−0.837304	+	1.04995i
$429$	1.76619	−	7.73819i	0.0852725	−	0.373603i
$430$	0.950158	−	1.19146i	0.0458207	−	0.0574573i
$431$	−1.14421	+	0.551025i	−0.0551149	+	0.0265419i	−0.461238	−	0.887276i	$-0.652595\pi$
$431$	−1.14421	+	0.551025i	−0.0551149	+	0.0265419i	0.406123	+	0.913818i	$0.366880\pi$
$432$	−13.6019	−	17.0562i	−0.654420	−	0.820616i
$433$	25.6163	+	12.3361i	1.23104	+	0.592837i	0.932365	−	0.361518i	$-0.117742\pi$
$433$	25.6163	+	12.3361i	1.23104	+	0.592837i	0.298674	+	0.954355i	$0.403456\pi$
$434$	−2.12562	−	4.69261i	−0.102033	−	0.225252i
$435$	−16.9955	+	8.18462i	−0.814874	+	0.392423i
$436$	31.4543	+	15.1476i	1.50639	+	0.725439i
$437$	−0.898603	−	3.93704i	−0.0429860	−	0.188334i
$438$	−8.91378	−	4.29265i	−0.425917	−	0.205111i
$439$	0.628853	−	0.788557i	0.0300135	−	0.0376358i	−0.766598	−	0.642127i	$-0.778052\pi$
$439$	0.628853	−	0.788557i	0.0300135	−	0.0376358i	0.796612	+	0.604491i	$0.206624\pi$
$440$	−1.94639			−0.0927904
$441$	9.63686	−	34.6383i	0.458898	−	1.64944i
$442$	−0.172489			−0.00820445
$443$	−16.1821	+	20.2918i	−0.768837	+	0.964091i	−0.999961	−	0.00883306i	$-0.997188\pi$
$443$	−16.1821	+	20.2918i	−0.768837	+	0.964091i	0.231124	+	0.972924i	$0.425760\pi$
$444$	28.2778	+	13.6178i	1.34200	+	0.646275i
$445$	1.61659	+	7.08272i	0.0766335	+	0.335753i
$446$	4.40336	+	2.12054i	0.208505	+	0.100411i
$447$	−47.6184	+	22.9318i	−2.25227	+	1.08464i
$448$	−16.4633	+	3.35310i	−0.777816	+	0.158419i
$449$	−7.31057	−	3.52058i	−0.345007	−	0.166147i	0.253353	−	0.967374i	$-0.418467\pi$
$449$	−7.31057	−	3.52058i	−0.345007	−	0.166147i	−0.598360	+	0.801227i	$0.704181\pi$
$450$	3.87954	+	4.86478i	0.182883	+	0.229328i
$451$	−25.2678	+	12.1684i	−1.18982	+	0.572985i
$452$	−6.83575	+	8.57176i	−0.321527	+	0.403182i
$453$	−0.852397	+	3.73460i	−0.0400491	+	0.175467i
$454$	0.660511	−	0.828255i	0.0309993	−	0.0388719i
$455$	0.0415481	−	1.76948i	0.00194781	−	0.0829545i
$456$	−4.72065	−	5.91951i	−0.221065	−	0.277206i
$457$	−17.9649	+	8.65146i	−0.840364	+	0.404698i	−0.803992	−	0.594640i	$-0.797295\pi$
$457$	−17.9649	+	8.65146i	−0.840364	+	0.404698i	−0.0363724	+	0.999338i	$0.511580\pi$
$458$	0.133005	−	0.582733i	0.00621491	−	0.0272293i
$459$	−3.94979			−0.184360
$460$	2.05299			0.0957212
$461$	8.48078	−	37.1567i	0.394989	−	1.73056i	−0.251697	−	0.967806i	$-0.580989\pi$
$461$	8.48078	−	37.1567i	0.394989	−	1.73056i	0.646687	−	0.762756i	$-0.276154\pi$
$462$	4.28604	+	3.58579i	0.199405	+	0.166826i
$463$	−2.78952	−	12.2217i	−0.129640	−	0.567990i	−0.997467	−	0.0711240i	$-0.977341\pi$
$463$	−2.78952	−	12.2217i	−0.129640	−	0.567990i	0.867828	−	0.496865i	$-0.165516\pi$
$464$	−7.87529	−	34.5039i	−0.365601	−	1.60180i
$465$	−8.70551	−	10.9164i	−0.403708	−	0.506234i
$466$	−4.88170	−	6.12146i	−0.226140	−	0.283571i
$467$	−2.27276	−	9.95761i	−0.105171	−	0.460783i	−0.999900	−	0.0141734i	$-0.995488\pi$
$467$	−2.27276	−	9.95761i	−0.105171	−	0.460783i	0.894729	−	0.446610i	$-0.147369\pi$
$468$	2.20492	+	9.66039i	0.101923	+	0.446552i
$469$	−1.36353	+	2.66924i	−0.0629620	+	0.123254i
$470$	0.346590	−	1.51851i	0.0159870	−	0.0700436i
$471$	31.0030			1.42855
$472$	1.79647			0.0826892
$473$	−5.30053	+	23.2231i	−0.243718	+	1.06780i
$474$	−7.74503	+	3.72981i	−0.355741	+	0.171316i
$475$	−7.20570	−	9.03566i	−0.330620	−	0.414585i
$476$	−1.50507	+	2.94631i	−0.0689847	+	0.135044i
$477$	9.24726	−	11.5957i	0.423403	−	0.530930i
$478$	−1.00323	+	4.39545i	−0.0458868	+	0.201043i
$479$	14.0884	−	17.6663i	0.643717	−	0.807195i	−0.347746	−	0.937589i	$-0.613053\pi$
$479$	14.0884	−	17.6663i	0.643717	−	0.807195i	0.991462	+	0.130394i	$0.0416242\pi$
$480$	5.23317	−	2.52016i	0.238860	−	0.115029i
$481$	−3.55613	−	4.45924i	−0.162145	−	0.203324i
$482$	0.338511	+	0.163019i	0.0154188	+	0.00742529i
$483$	−9.20751	−	7.70318i	−0.418956	−	0.350507i
$484$	−5.66114	+	2.72626i	−0.257325	+	0.123921i
$485$	5.10436	+	2.45813i	0.231777	+	0.111618i
$486$	0.749316	+	3.28297i	0.0339897	+	0.148918i
$487$	−29.9134	−	14.4055i	−1.35551	−	0.652777i	−0.391876	−	0.920018i	$-0.628174\pi$
$487$	−29.9134	−	14.4055i	−1.35551	−	0.652777i	−0.963630	+	0.267241i	$0.913888\pi$
$488$	−7.34313	+	9.20799i	−0.332408	+	0.416826i
$489$	30.5489			1.38147
$490$	1.09613	+	0.592785i	0.0495181	+	0.0267793i
$491$	−38.2747			−1.72731			−0.863656	−	0.504082i	$-0.831831\pi$
$491$	−38.2747			−1.72731			−0.863656	+	0.504082i	$0.831831\pi$
$492$	34.5797	−	43.3615i	1.55897	−	1.95489i
$493$	−5.77312	−	2.78019i	−0.260008	−	0.125213i
$494$	0.150324	+	0.658612i	0.00676339	+	0.0296324i
$495$	8.61446	+	4.14851i	0.387191	+	0.186462i
$496$	23.6018	−	11.3660i	1.05975	−	0.510350i
$497$	−11.6381	−	2.94538i	−0.522041	−	0.132118i
$498$	−4.92586	−	2.37217i	−0.220733	−	0.106299i
$499$	5.79450	+	7.26607i	0.259397	+	0.325274i	0.894427	−	0.447214i	$-0.147584\pi$
$499$	5.79450	+	7.26607i	0.259397	+	0.325274i	−0.635030	+	0.772488i	$0.719012\pi$
$500$	11.1075	−	5.34908i	0.496742	−	0.239218i
$501$	21.2863	−	26.6921i	0.951001	−	1.19252i
$502$	−0.593514	+	2.60035i	−0.0264898	+	0.116059i
$503$	−2.47680	+	3.10580i	−0.110435	+	0.138481i	−0.833977	−	0.551799i	$-0.813941\pi$
$503$	−2.47680	+	3.10580i	−0.110435	+	0.138481i	0.723542	+	0.690280i	$0.242513\pi$
$504$	−13.7745	−	3.48605i	−0.613564	−	0.155281i
$505$	1.92863	+	2.41843i	0.0858229	+	0.107619i
$506$	1.06125	−	0.511070i	0.0471782	−	0.0227198i
$507$	0.634722	−	2.78090i	0.0281890	−	0.123504i
$508$	−20.4202			−0.906000
$509$	23.4425			1.03907			0.519536	−	0.854449i	$-0.326105\pi$
$509$	23.4425			1.03907			0.519536	+	0.854449i	$0.326105\pi$
$510$	0.0732421	−	0.320894i	0.00324321	−	0.0142094i
$511$	33.7914	−	6.88235i	1.49484	−	0.304457i
$512$	4.09085	+	17.9232i	0.180792	+	0.792101i
$513$	3.44224	+	15.0814i	0.151979	+	0.665861i
$514$	−2.12758	−	2.66790i	−0.0938433	−	0.117676i
$515$	−1.13323	−	1.42102i	−0.0499359	−	0.0626177i
$516$	−10.4822	−	45.9255i	−0.461453	−	2.02176i
$517$	5.41748	+	23.7355i	0.238260	+	1.04389i
$518$	3.93484	−	0.801416i	0.172887	−	0.0352122i
$519$	4.36337	−	19.1172i	0.191531	−	0.839152i
$520$	−0.699480			−0.0306742
$521$	25.2844			1.10773			0.553865	−	0.832607i	$-0.313152\pi$
$521$	25.2844			1.10773			0.553865	+	0.832607i	$0.313152\pi$
$522$	3.00657	−	13.1726i	0.131594	−	0.576551i
$523$	25.9483	−	12.4961i	1.13464	−	0.546414i	0.230255	−	0.973130i	$-0.426044\pi$
$523$	25.9483	−	12.4961i	1.13464	−	0.546414i	0.904386	+	0.426716i	$0.140330\pi$
$524$	6.52094	+	8.17699i	0.284868	+	0.357214i
$525$	−33.3063	−	8.42917i	−1.45361	−	0.367879i
$526$	0.704003	−	0.882792i	0.0306960	−	0.0384916i
$527$	1.05539	−	4.62394i	0.0459733	−	0.201422i
$528$	−17.7172	+	22.2167i	−0.771044	+	0.966858i
$529$	18.4425	−	8.88142i	0.801846	−	0.386149i
$530$	0.320507	+	0.401903i	0.0139219	+	0.0174576i
$531$	−7.95094	−	3.82897i	−0.345041	−	0.166163i
$532$	12.5616	+	3.17908i	0.544612	+	0.137831i
$533$	−9.08059	+	4.37298i	−0.393324	+	0.189415i
$534$	−7.42661	−	3.57646i	−0.321381	−	0.154769i
$535$	2.14382	+	9.39270i	0.0926855	+	0.406082i
$536$	1.06722	+	0.513948i	0.0460971	+	0.0221992i
$537$	−34.7810	+	43.6140i	−1.50091	+	1.88208i
$538$	7.94519			0.342542
$539$	−19.4569	−	0.914215i	−0.838067	−	0.0393780i
$540$	−7.86430			−0.338425
$541$	−4.35590	+	5.46213i	−0.187275	+	0.234835i	−0.866602	−	0.499001i	$-0.833701\pi$
$541$	−4.35590	+	5.46213i	−0.187275	+	0.234835i	0.679327	+	0.733836i	$0.262272\pi$
$542$	−2.53552	−	1.22104i	−0.108910	−	0.0524484i
$543$	4.25277	+	18.6326i	0.182504	+	0.799601i
$544$	1.77762	+	0.856059i	0.0762150	+	0.0367032i
$545$	10.9074	−	5.25274i	0.467223	−	0.225003i
$546$	1.54029	+	1.28864i	0.0659183	+	0.0551485i
$547$	2.16416	+	1.04220i	0.0925328	+	0.0445614i	0.479578	−	0.877499i	$-0.340790\pi$
$547$	2.16416	+	1.04220i	0.0925328	+	0.0445614i	−0.387045	+	0.922061i	$0.626504\pi$
$548$	1.14383	+	1.43432i	0.0488621	+	0.0612711i
$549$	52.1255	−	25.1023i	2.22466	−	1.07134i
$550$	2.10177	−	2.63554i	0.0896199	−	0.112380i
$551$	−5.58429	+	24.4664i	−0.237899	+	1.04230i
$552$	−2.95799	+	3.70921i	−0.125901	+	0.157874i
$553$	13.6308	−	26.6836i	0.579642	−	1.13470i
$554$	−1.92586	−	2.41495i	−0.0818218	−	0.102601i
$555$	9.80589	−	4.72227i	0.416237	−	0.200449i
$556$	4.53877	−	19.8856i	0.192487	−	0.843339i
$557$	12.5724			0.532709			0.266355	−	0.963875i	$-0.414181\pi$
$557$	12.5724			0.532709			0.266355	+	0.963875i	$0.414181\pi$
$558$	10.0009			0.423373
$559$	−1.90487	+	8.34577i	−0.0805673	+	0.352989i
$560$	−2.88266	+	5.64308i	−0.121815	+	0.238464i
$561$	1.14483	+	5.01584i	0.0483349	+	0.211769i
$562$	−1.89970	−	8.32311i	−0.0801338	−	0.351089i
$563$	−25.3328	−	31.7663i	−1.06765	−	1.33879i	−0.937769	−	0.347261i	$-0.887112\pi$
$563$	−25.3328	−	31.7663i	−1.06765	−	1.33879i	−0.129881	−	0.991530i	$-0.541460\pi$
$564$	−30.0185	−	37.6420i	−1.26401	−	1.58501i
$565$	0.845998	+	3.70656i	0.0355914	+	0.155936i
$566$	0.888683	+	3.89357i	0.0373541	+	0.163659i
$567$	4.00262	+	3.34867i	0.168094	+	0.140631i
$568$	−1.05571	+	4.62537i	−0.0442966	+	0.194076i
$569$	43.6570			1.83020			0.915098	−	0.403233i	$-0.132113\pi$
$569$	43.6570			1.83020			0.915098	+	0.403233i	$0.132113\pi$
$570$	−1.28910			−0.0539944
$571$	−5.32383	+	23.3252i	−0.222795	+	0.976130i	0.732567	+	0.680695i	$0.238322\pi$
$571$	−5.32383	+	23.3252i	−0.222795	+	0.976130i	−0.955363	+	0.295436i	$0.904535\pi$
$572$	4.83658	−	2.32917i	0.202228	−	0.0973877i
$573$	−32.2969	−	40.4991i	−1.34922	−	1.69187i
$574$	0.166570	−	7.09398i	0.00695248	−	0.296097i
$575$	−4.51515	+	5.66181i	−0.188295	+	0.236114i
$576$	7.25791	−	31.7990i	0.302413	−	1.32496i
$577$	−6.09004	+	7.63667i	−0.253532	+	0.317919i	−0.892267	−	0.451508i	$-0.850886\pi$
$577$	−6.09004	+	7.63667i	−0.253532	+	0.317919i	0.638736	+	0.769426i	$0.279458\pi$
$578$	−3.97509	+	1.91430i	−0.165342	+	0.0796244i
$579$	−32.6018	−	40.8814i	−1.35489	−	1.69897i
$580$	−11.4947	−	5.53554i	−0.477290	−	0.229851i
$581$	18.6735	−	3.80327i	0.774709	−	0.157786i
$582$	−5.79154	+	2.78906i	−0.240067	+	0.115610i
$583$	−7.23935	−	3.48629i	−0.299823	−	0.144387i
$584$	−3.03258	−	13.2866i	−0.125489	−	0.549804i
$585$	3.09581	+	1.49086i	0.127996	+	0.0616396i
$586$	3.88379	−	4.87011i	0.160438	−	0.201183i
$587$	9.57630			0.395256			0.197628	−	0.980277i	$-0.436676\pi$
$587$	9.57630			0.395256			0.197628	+	0.980277i	$0.436676\pi$
$588$	35.4514	−	15.0658i	1.46199	−	0.621305i
$589$	−18.5753			−0.765383
$590$	0.190705	−	0.239137i	0.00785121	−	0.00984511i
$591$	25.9217	+	12.4832i	1.06628	+	0.513492i
$592$	4.54379	+	19.9077i	0.186749	+	0.818200i
$593$	37.5731	+	18.0943i	1.54294	+	0.743042i	0.995586	−	0.0938570i	$-0.0299196\pi$
$593$	37.5731	+	18.0943i	1.54294	+	0.743042i	0.547357	+	0.836899i	$0.315634\pi$
$594$	−4.06527	+	1.95773i	−0.166800	+	0.0803267i
$595$	0.473385	+	1.04506i	0.0194069	+	0.0428435i
$596$	−32.2060	−	15.5096i	−1.31921	−	0.635298i
$597$	−29.8462	−	37.4260i	−1.22152	−	1.53174i
$598$	0.381384	−	0.183665i	0.0155959	−	0.00751061i
$599$	−24.3637	+	30.5511i	−0.995473	+	1.24828i	−0.0268786	+	0.999639i	$0.508557\pi$
$599$	−24.3637	+	30.5511i	−0.995473	+	1.24828i	−0.968595	+	0.248645i	$0.920015\pi$
$600$	−3.02126	+	13.2370i	−0.123343	+	0.540399i
$601$	−20.0956	+	25.1991i	−0.819717	+	1.02789i	0.179310	+	0.983793i	$0.442614\pi$
$601$	−20.0956	+	25.1991i	−0.819717	+	1.02789i	−0.999027	+	0.0441003i	$0.985958\pi$
$602$	−4.62257	−	3.86733i	−0.188402	−	0.157621i
$603$	−3.62798	−	4.54934i	−0.147743	−	0.185263i
$604$	−2.33422	+	1.12410i	−0.0949782	+	0.0457391i
$605$	−0.484849	+	2.12426i	−0.0197119	+	0.0863636i
$606$	−3.50972			−0.142573
$607$	−39.3785			−1.59832			−0.799161	−	0.601116i	$-0.794723\pi$
$607$	−39.3785			−1.59832			−0.799161	+	0.601116i	$0.794723\pi$
$608$	1.71948	−	7.53354i	0.0697342	−	0.305525i
$609$	30.7824	+	67.9565i	1.24737	+	2.75374i
$610$	0.446207	+	1.95496i	0.0180664	+	0.0791540i
$611$	1.94690	+	8.52991i	0.0787630	+	0.345083i
$612$	−4.00457	−	5.02157i	−0.161875	−	0.202985i
$613$	14.8719	+	18.6488i	0.600672	+	0.753219i	0.985483	−	0.169777i	$-0.0543047\pi$
$613$	14.8719	+	18.6488i	0.600672	+	0.753219i	−0.384811	+	0.922996i	$0.625733\pi$
$614$	0.657193	+	2.87935i	0.0265222	+	0.116201i
$615$	−4.27961	−	18.7502i	−0.172571	−	0.756081i
$616$	−0.180696	+	7.69560i	−0.00728044	+	0.310065i
$617$	1.05810	−	4.63582i	0.0425973	−	0.186631i	−0.949153	−	0.314815i	$-0.898058\pi$
$617$	1.05810	−	4.63582i	0.0425973	−	0.186631i	0.991750	+	0.128184i	$0.0409147\pi$
$618$	2.06224			0.0829556
$619$	−32.5168			−1.30696			−0.653480	−	0.756944i	$-0.726692\pi$
$619$	−32.5168			−1.30696			−0.653480	+	0.756944i	$0.726692\pi$
$620$	2.10134	−	9.20659i	0.0843920	−	0.369746i
$621$	8.73324	−	4.20571i	0.350453	−	0.168769i
$622$	1.06904	+	1.34054i	0.0428648	+	0.0537507i
$623$	28.1536	−	5.73410i	1.12795	−	0.229732i
$624$	−6.36710	+	7.98409i	−0.254888	+	0.319619i
$625$	−4.11378	+	18.0237i	−0.164551	+	0.720947i
$626$	−1.14290	+	1.43315i	−0.0456793	+	0.0572801i
$627$	18.1542	−	8.74261i	0.725010	−	0.349146i
$628$	13.0736	+	16.3938i	0.521694	+	0.654183i
$629$	3.33090	+	1.60408i	0.132812	+	0.0639588i
$630$	−1.92628	+	1.46352i	−0.0767449	+	0.0583082i
$631$	−9.79110	+	4.71514i	−0.389777	+	0.187707i	−0.618500	−	0.785785i	$-0.712259\pi$
$631$	−9.79110	+	4.71514i	−0.389777	+	0.187707i	0.228723	+	0.973492i	$0.426545\pi$
$632$	−10.6687	−	5.13780i	−0.424380	−	0.204371i
$633$	8.31228	+	36.4185i	0.330383	+	1.44750i
$634$	−2.19569	−	1.05739i	−0.0872020	−	0.0419943i
$635$	−4.41501	+	5.53624i	−0.175204	+	0.219699i
$636$	15.8900			0.630078
$637$	−6.99229	−	0.328545i	−0.277044	−	0.0130174i
$638$	−7.31993			−0.289799
$639$	14.5309	−	18.2212i	0.574833	−	0.720818i
$640$	4.68782	+	2.25754i	0.185302	+	0.0892370i
$641$	−3.82516	−	16.7591i	−0.151085	−	0.661946i	−0.992571	−	0.121667i	$-0.961176\pi$
$641$	−3.82516	−	16.7591i	−0.151085	−	0.661946i	0.841486	−	0.540279i	$-0.181681\pi$
$642$	−9.84873	−	4.74290i	−0.388698	−	0.187187i
$643$	−32.2802	+	15.5453i	−1.27301	+	0.613048i	−0.943584	−	0.331134i	$-0.892569\pi$
$643$	−32.2802	+	15.5453i	−1.27301	+	0.613048i	−0.329424	+	0.944182i	$0.606855\pi$
$644$	0.190592	−	8.11708i	0.00751039	−	0.319858i
$645$	−14.7175	−	7.08755i	−0.579499	−	0.279072i
$646$	−0.273018	−	0.342353i	−0.0107417	−	0.0134697i
$647$	−33.3091	+	16.0408i	−1.30951	+	0.630629i	−0.952804	−	0.303586i	$-0.901816\pi$
$647$	−33.3091	+	16.0408i	−1.30951	+	0.630629i	−0.356711	+	0.934215i	$0.616102\pi$
$648$	1.28588	−	1.61244i	0.0505140	−	0.0633426i
$649$	−1.06386	+	4.66109i	−0.0417603	+	0.182964i
$650$	0.755321	−	0.947143i	0.0296261	−	0.0371500i
$651$	−43.9691	+	33.4063i	−1.72329	+	1.30929i
$652$	12.8821	+	16.1537i	0.504502	+	0.632626i
$653$	−16.3780	+	7.88725i	−0.640922	+	0.308652i	−0.725971	−	0.687725i	$-0.758610\pi$
$653$	−16.3780	+	7.88725i	−0.640922	+	0.308652i	0.0850491	+	0.996377i	$0.472895\pi$
$654$	−3.05658	+	13.3918i	−0.119522	+	0.523659i
$655$	3.62679			0.141710
$656$	36.0831			1.40881
$657$	−14.8971	+	65.2685i	−0.581191	+	2.54637i
$658$	−5.97168	−	1.51131i	−0.232800	−	0.0589172i
$659$	7.02688	+	30.7868i	0.273728	+	1.19928i	0.905574	+	0.424188i	$0.139441\pi$
$659$	7.02688	+	30.7868i	0.273728	+	1.19928i	−0.631846	+	0.775094i	$0.717702\pi$
$660$	2.27944	+	9.98689i	0.0887271	+	0.388739i
$661$	0.694161	+	0.870451i	0.0269998	+	0.0338566i	0.795148	−	0.606415i	$-0.207393\pi$
$661$	0.694161	+	0.870451i	0.0269998	+	0.0338566i	−0.768148	+	0.640272i	$0.778822\pi$
$662$	0.0226184	+	0.0283626i	0.000879089	+	0.00110234i
$663$	0.411422	+	1.80256i	0.0159783	+	0.0700056i
$664$	−1.67584	−	7.34235i	−0.0650353	−	0.284938i
$665$	3.57780	−	2.71830i	0.138741	−	0.105411i
$666$	−1.73470	+	7.60020i	−0.0672181	+	0.294502i
$667$	15.7251			0.608877
$668$	23.0904			0.893395
$669$	11.6574	−	51.0744i	0.450701	−	1.97465i
$670$	0.181706	−	0.0875050i	0.00701992	−	0.00338061i
$671$	−19.5423	−	24.5053i	−0.754423	−	0.946017i
$672$	−9.47834	−	20.9248i	−0.365635	−	0.807191i
$673$	−8.75567	+	10.9793i	−0.337506	+	0.423219i	−0.921403	−	0.388609i	$-0.872956\pi$
$673$	−8.75567	+	10.9793i	−0.337506	+	0.423219i	0.583897	+	0.811828i	$0.301527\pi$
$674$	0.0198551	−	0.0869908i	0.000764790	−	0.00335076i
$675$	17.2960	−	21.6884i	0.665722	−	0.834789i
$676$	1.73814	−	0.837043i	0.0668514	−	0.0321940i
$677$	21.6343	+	27.1285i	0.831473	+	1.04263i	0.998393	+	0.0566640i	$0.0180464\pi$
$677$	21.6343	+	27.1285i	0.831473	+	1.04263i	−0.166920	+	0.985970i	$0.553382\pi$
$678$	−3.88652	−	1.87165i	−0.149261	−	0.0718803i
$679$	10.1928	−	19.9533i	0.391163	−	0.765738i
$680$	0.408498	−	0.196722i	0.0156652	−	0.00754395i
$681$	−10.2310	−	4.92698i	−0.392052	−	0.188802i
$682$	−1.20564	−	5.28225i	−0.0461663	−	0.202268i
$683$	−41.2506	−	19.8653i	−1.57841	−	0.760123i	−0.579901	−	0.814687i	$-0.696909\pi$
$683$	−41.2506	−	19.8653i	−1.57841	−	0.760123i	−0.998510	+	0.0545637i	$0.982623\pi$
$684$	−15.6838	+	19.6669i	−0.599687	+	0.751983i
$685$	0.636172			0.0243069
$686$	2.44550	−	4.27883i	0.0933698	−	0.163366i
$687$	−6.40698			−0.244442
$688$	19.1083	−	23.9611i	0.728499	−	0.913508i
$689$	−2.60163	−	1.25288i	−0.0991142	−	0.0477309i
$690$	0.179743	+	0.787507i	0.00684271	+	0.0299799i
$691$	2.12823	+	1.02490i	0.0809618	+	0.0389892i	0.473926	−	0.880564i	$-0.342836\pi$
$691$	2.12823	+	1.02490i	0.0809618	+	0.0389892i	−0.392965	+	0.919554i	$0.628551\pi$
$692$	11.9488	−	5.75422i	0.454224	−	0.218743i
$693$	17.2020	−	33.6746i	0.653452	−	1.27919i
$694$	−4.75209	−	2.28849i	−0.180387	−	0.0868697i
$695$	−4.41000	−	5.52996i	−0.167281	−	0.209763i
$696$	26.5630	−	12.7921i	1.00687	−	0.484883i
$697$	4.07322	−	5.10766i	0.154284	−	0.193466i
$698$	−1.17530	+	5.14933i	−0.0444858	+	0.194905i
$699$	−52.3272	+	65.6162i	−1.97920	+	2.48183i
$700$	−9.58770	−	21.1662i	−0.362381	−	0.800007i
$701$	−11.2891	−	14.1560i	−0.426382	−	0.534666i	0.521515	−	0.853242i	$-0.325367\pi$
$701$	−11.2891	−	14.1560i	−0.426382	−	0.534666i	−0.947897	+	0.318576i	$0.896795\pi$
$702$	−1.46095	+	0.703556i	−0.0551400	+	0.0265540i
$703$	3.22196	−	14.1163i	0.121518	−	0.532407i
$704$	−17.6704			−0.665979
$705$	−16.6956			−0.628791
$706$	−0.257164	+	1.12671i	−0.00967849	+	0.0424042i
$707$	9.74098	−	7.40087i	0.366347	−	0.278338i
$708$	−2.10387	−	9.21765i	−0.0790682	−	0.346421i
$709$	−8.11233	−	35.5424i	−0.304665	−	1.33482i	−0.862998	−	0.505207i	$-0.831416\pi$
$709$	−8.11233	−	35.5424i	−0.304665	−	1.33482i	0.558333	−	0.829617i	$-0.311441\pi$
$710$	0.503636	+	0.631540i	0.0189011	+	0.0237013i
$711$	36.2679	+	45.4784i	1.36015	+	1.70558i
$712$	−2.52663	−	11.0699i	−0.0946894	−	0.414861i
$713$	2.59002	+	11.3476i	0.0969970	+	0.424971i
$714$	−1.26195	−	0.319374i	−0.0472272	−	0.0119523i
$715$	0.414230	−	1.81486i	0.0154913	−	0.0678719i
$716$	−37.7289			−1.41000
$717$	48.3267			1.80479
$718$	0.223289	−	0.978291i	0.00833305	−	0.0365095i
$719$	43.2874	−	20.8461i	1.61435	−	0.777429i	0.614415	−	0.788983i	$-0.289392\pi$
$719$	43.2874	−	20.8461i	1.61435	−	0.777429i	0.999933	+	0.0115535i	$0.00367769\pi$
$720$	−7.66996	−	9.61783i	−0.285843	−	0.358435i
$721$	−5.72362	+	4.34861i	−0.213159	+	0.161951i
$722$	2.08312	−	2.61214i	0.0775255	−	0.0972139i
$723$	0.896171	−	3.92638i	0.0333290	−	0.146024i
$724$	−8.05919	+	10.1059i	−0.299518	+	0.375583i
$725$	40.5464	−	19.5261i	1.50585	−	0.725181i
$726$	−1.54141	−	1.93287i	−0.0572071	−	0.0717354i
$727$	−16.9918	−	8.18283i	−0.630192	−	0.303484i	0.0913883	−	0.995815i	$-0.470870\pi$
$727$	−16.9918	−	8.18283i	−0.630192	−	0.303484i	−0.721580	+	0.692331i	$0.756584\pi$
$728$	−0.0649373	+	2.76559i	−0.00240674	+	0.102500i
$729$	37.8521	−	18.2286i	1.40193	−	0.675134i
$730$	−2.09057	−	1.00677i	−0.0773756	−	0.0372621i
$731$	−1.23472	−	5.40967i	−0.0456678	−	0.200084i
$732$	55.8457	+	26.8939i	2.06412	+	0.994026i
$733$	−18.5554	+	23.2677i	−0.685360	+	0.859414i	−0.995836	−	0.0911675i	$-0.970940\pi$
$733$	−18.5554	+	23.2677i	−0.685360	+	0.859414i	0.310476	+	0.950581i	$0.399512\pi$
$734$	−0.875044			−0.0322984
$735$	3.58028	−	12.8688i	0.132061	−	0.474673i
$736$	−4.84197			−0.178477
$737$	−1.96549	+	2.46465i	−0.0723997	+	0.0907864i
$738$	12.4113	+	5.97698i	0.456867	+	0.220016i
$739$	6.37677	+	27.9384i	0.234573	+	1.02773i	0.945795	+	0.324765i	$0.105285\pi$
$739$	6.37677	+	27.9384i	0.234573	+	1.02773i	−0.711222	+	0.702968i	$0.751858\pi$
$740$	6.63206	+	3.19383i	0.243799	+	0.117408i
$741$	6.52414	−	3.14186i	0.239670	−	0.115419i
$742$	1.61879	−	1.22990i	0.0594278	−	0.0451512i
$743$	32.7430	+	15.7682i	1.20122	+	0.578479i	0.924024	−	0.382334i	$-0.124880\pi$
$743$	32.7430	+	15.7682i	1.20122	+	0.578479i	0.277199	+	0.960813i	$0.410594\pi$
$744$	13.6062	+	17.0616i	0.498827	+	0.625510i
$745$	−11.1681	+	5.37827i	−0.409167	+	0.197044i
$746$	−4.05773	+	5.08823i	−0.148564	+	0.186293i
$747$	−8.23232	+	36.0682i	−0.301205	+	1.31966i
$748$	−2.16951	+	2.72048i	−0.0793253	+	0.0994707i
$749$	37.3357	−	7.60422i	1.36422	−	0.277852i
$750$	3.02433	+	3.79240i	0.110433	+	0.138479i
$751$	20.0731	−	9.66669i	0.732477	−	0.352743i	−0.0301806	−	0.999544i	$-0.509608\pi$
$751$	20.0731	−	9.66669i	0.732477	−	0.352743i	0.762658	+	0.646802i	$0.223894\pi$
$752$	6.97016	−	30.5383i	0.254176	−	1.11362i
$753$	28.5901			1.04188
$754$	−2.63059			−0.0958003
$755$	−0.199915	+	0.875885i	−0.00727565	+	0.0318767i
$756$	−0.730094	+	31.0937i	−0.0265532	+	1.13087i
$757$	7.60243	+	33.3084i	0.276315	+	1.21062i	0.902413	+	0.430871i	$0.141794\pi$
$757$	7.60243	+	33.3084i	0.276315	+	1.21062i	−0.626098	+	0.779744i	$0.715349\pi$
$758$	1.88312	+	8.25050i	0.0683981	+	0.299672i
$759$	−7.87214	−	9.87135i	−0.285740	−	0.358307i
$760$	−1.10715	−	1.38832i	−0.0401605	−	0.0503596i
$761$	3.50479	+	15.3555i	0.127049	+	0.556636i	0.997882	+	0.0650570i	$0.0207229\pi$
$761$	3.50479	+	15.3555i	0.127049	+	0.556636i	−0.870833	+	0.491579i	$0.836420\pi$
$762$	−1.78783	−	7.83298i	−0.0647662	−	0.283759i
$763$	−19.7556	−	43.6133i	−0.715201	−	1.57891i
$764$	7.79586	−	34.1559i	0.282044	−	1.23572i
$765$	−2.22725			−0.0805263
$766$	−0.568034			−0.0205239
$767$	−0.382324	+	1.67507i	−0.0138049	+	0.0604833i
$768$	27.3207	−	13.1570i	0.985851	−	0.474761i
$769$	−11.4170	−	14.3165i	−0.411708	−	0.516266i	0.532135	−	0.846660i	$-0.321390\pi$
$769$	−11.4170	−	14.3165i	−0.411708	−	0.516266i	−0.943843	+	0.330394i	$0.892818\pi$
$770$	1.00522	+	0.840985i	0.0362255	+	0.0303070i
$771$	−22.8056	+	28.5973i	−0.821323	+	1.02991i
$772$	7.86946	−	34.4784i	0.283228	−	1.24090i
$773$	−5.04731	+	6.32913i	−0.181539	+	0.227643i	−0.864271	−	0.503026i	$-0.832220\pi$
$773$	−5.04731	+	6.32913i	−0.181539	+	0.227643i	0.682732	+	0.730669i	$0.260792\pi$
$774$	10.5416	−	5.07658i	0.378911	−	0.182474i
$775$	20.7688	+	26.0432i	0.746037	+	0.935501i
$776$	−7.97781	−	3.84191i	−0.286387	−	0.137917i
$777$	−17.7605	−	39.2088i	−0.637154	−	1.40661i
$778$	−0.516038	+	0.248511i	−0.0185009	+	0.00890954i
$779$	−23.0523	−	11.1014i	−0.825935	−	0.397750i
$780$	0.819170	+	3.58902i	0.0293310	+	0.128508i
$781$	−11.3757	−	5.47826i	−0.407055	−	0.196027i
$782$	−0.171075	+	0.214521i	−0.00611763	+	0.00767126i
$783$	−60.2373			−2.15271
$784$	22.0439	+	11.9213i	0.787283	+	0.425761i
$785$	7.27123			0.259521
$786$	−2.56569	+	3.21728i	−0.0915152	+	0.114756i
$787$	−48.8768	−	23.5378i	−1.74227	−	0.839032i	−0.981865	−	0.189581i	$-0.939287\pi$
$787$	−48.8768	−	23.5378i	−1.74227	−	0.839032i	−0.760404	−	0.649451i	$-0.774999\pi$
$788$	4.32999	+	18.9709i	0.154249	+	0.675811i
$789$	−10.9046	−	5.25140i	−0.388216	−	0.186955i
$790$	−1.81646	+	0.874763i	−0.0646269	+	0.0311227i
$791$	14.7335	−	3.00079i	0.523862	−	0.106696i
$792$	−13.4639	−	6.48387i	−0.478419	−	0.230394i
$793$	−7.02299	−	8.80655i	−0.249394	−	0.312730i
$794$	4.35104	−	2.09535i	0.154413	−	0.0743612i
$795$	3.43553	−	4.30802i	0.121846	−	0.152790i
$796$	7.20431	−	31.5641i	0.255350	−	1.11876i
$797$	−0.274913	+	0.344730i	−0.00973792	+	0.0122110i	−0.786677	−	0.617365i	$-0.788200\pi$
$797$	−0.274913	+	0.344730i	−0.00973792	+	0.0122110i	0.776939	+	0.629576i	$0.216771\pi$
$798$	−0.119675	+	5.09682i	−0.00423646	+	0.180425i
$799$	−3.53595	−	4.43394i	−0.125093	−	0.156861i
$800$	−12.4848	+	6.01236i	−0.441404	+	0.212569i
$801$	−12.4117	+	54.3791i	−0.438545	+	1.92139i
$802$	−4.19998			−0.148307
$803$	36.2691			1.27991
$804$	1.38722	−	6.07780i	0.0489234	−	0.214348i
$805$	−2.15946	−	1.80665i	−0.0761111	−	0.0636760i
$806$	−0.433274	−	1.89830i	−0.0152614	−	0.0668647i
$807$	−18.9510	−	83.0297i	−0.667106	−	2.92278i
$808$	−3.01434	−	3.77986i	−0.106044	−	0.132975i
$809$	−7.87264	−	9.87198i	−0.276787	−	0.347080i	0.623935	−	0.781477i	$-0.285533\pi$
$809$	−7.87264	−	9.87198i	−0.276787	−	0.347080i	−0.900722	+	0.434396i	$0.856962\pi$
$810$	−0.0781366	−	0.342339i	−0.00274544	−	0.0120286i
$811$	−11.5826	−	50.7468i	−0.406721	−	1.78196i	−0.599135	−	0.800648i	$-0.704489\pi$
$811$	−11.5826	−	50.7468i	−0.406721	−	1.78196i	0.192414	−	0.981314i	$-0.438368\pi$
$812$	−22.9535	+	44.9336i	−0.805509	+	1.57686i
$813$	−6.71252	+	29.4095i	−0.235418	+	1.03143i
$814$	4.22336			0.148029
$815$	7.16473			0.250969
$816$	1.47295	−	6.45341i	0.0515635	−	0.225915i
$817$	−19.5796	+	9.42905i	−0.685005	+	0.329881i
$818$	2.01976	+	2.53270i	0.0706194	+	0.0885539i
$819$	6.18195	−	12.1018i	0.216015	−	0.422870i
$820$	8.11006	−	10.1697i	0.283216	−	0.355141i
$821$	2.03854	−	8.93144i	0.0711457	−	0.311709i	−0.926817	−	0.375514i	$-0.877466\pi$
$821$	2.03854	−	8.93144i	0.0711457	−	0.311709i	0.997962	+	0.0638044i	$0.0203234\pi$
$822$	−0.450046	+	0.564340i	−0.0156972	+	0.0196836i
$823$	17.7618	−	8.55363i	0.619138	−	0.298161i	−0.0978992	−	0.995196i	$-0.531212\pi$
$823$	17.7618	−	8.55363i	0.619138	−	0.298161i	0.717037	+	0.697035i	$0.245498\pi$
$824$	1.77117	+	2.22097i	0.0617015	+	0.0773713i
$825$	−32.5554	−	15.6778i	−1.13343	−	0.545833i
$826$	−0.927791	−	0.776208i	−0.0322820	−	0.0270077i
$827$	38.2739	−	18.4317i	1.33091	−	0.640934i	0.372957	−	0.927849i	$-0.378344\pi$
$827$	38.2739	−	18.4317i	1.33091	−	0.640934i	0.957956	+	0.286915i	$0.0926298\pi$
$828$	14.2013	+	6.83899i	0.493530	+	0.237671i
$829$	10.6918	+	46.8438i	0.371341	+	1.62695i	0.723017	+	0.690830i	$0.242755\pi$
$829$	10.6918	+	46.8438i	0.371341	+	1.62695i	−0.351676	+	0.936122i	$0.614388\pi$
$830$	−1.15528	−	0.556352i	−0.0401002	−	0.0193113i
$831$	−20.6433	+	25.8859i	−0.716110	+	0.897973i
$832$	−6.35028			−0.220156
$833$	4.17591	−	1.77464i	0.144687	−	0.0614877i
$834$	8.02531			0.277894
$835$	4.99233	−	6.26018i	0.172767	−	0.216643i
$836$	12.2783	+	5.91293i	0.424655	+	0.204503i
$837$	−9.92146	−	43.4688i	−0.342936	−	1.50250i
$838$	4.12599	+	1.98697i	0.142530	+	0.0686388i
$839$	−14.2617	+	6.86809i	−0.492370	+	0.237113i	−0.663557	−	0.748126i	$-0.730954\pi$
$839$	−14.2617	+	6.86809i	−0.492370	+	0.237113i	0.171187	+	0.985239i	$0.445240\pi$
$840$	−5.11748	−	1.29513i	−0.176570	−	0.0446863i
$841$	−61.9164	−	29.8174i	−2.13505	−	1.02818i
$842$	0.253766	+	0.318213i	0.00874536	+	0.0109663i
$843$	−82.4479	+	39.7048i	−2.83966	+	1.36751i
$844$	−15.7522	+	19.7526i	−0.542212	+	0.679912i
$845$	0.148863	−	0.652212i	0.00512105	−	0.0224368i
$846$	7.45600	−	9.34953i	0.256343	−	0.321443i
$847$	8.35387	+	2.11420i	0.287042	+	0.0726448i
$848$	6.44562	+	8.08255i	0.221343	+	0.277556i
$849$	38.5693	−	18.5740i	1.32370	−	0.637458i
$850$	−0.174734	+	0.765560i	−0.00599333	+	0.0262585i
$851$	−9.07286			−0.311014
$852$	24.9690			0.855425
$853$	−8.77269	+	38.4357i	−0.300371	+	1.31601i	0.569198	+	0.822201i	$0.307254\pi$
$853$	−8.77269	+	38.4357i	−0.300371	+	1.31601i	−0.869569	+	0.493811i	$0.835603\pi$
$854$	7.77092	−	1.58271i	0.265915	−	0.0541594i
$855$	1.94105	+	8.50428i	0.0663824	+	0.290840i
$856$	−3.35067	−	14.6802i	−0.114523	−	0.501760i
$857$	24.2430	+	30.3998i	0.828125	+	1.03844i	0.998591	+	0.0530727i	$0.0169015\pi$
$857$	24.2430	+	30.3998i	0.828125	+	1.03844i	−0.170465	+	0.985364i	$0.554527\pi$
$858$	1.31690	+	1.65134i	0.0449582	+	0.0563758i
$859$	8.73647	+	38.2770i	0.298085	+	1.30599i	0.872976	+	0.487764i	$0.162187\pi$
$859$	8.73647	+	38.2770i	0.298085	+	1.30599i	−0.574891	+	0.818230i	$0.694956\pi$
$860$	−2.45842	−	10.7710i	−0.0838313	−	0.367289i
$861$	−74.5315	+	15.1800i	−2.54003	+	0.517331i
$862$	0.0752012	−	0.329478i	0.00256136	−	0.0112221i
$863$	30.9609			1.05392			0.526960	−	0.849890i	$-0.323332\pi$
$863$	30.9609			1.05392			0.526960	+	0.849890i	$0.323332\pi$
$864$	18.5479			0.631013
$865$	1.02335	−	4.48361i	0.0347951	−	0.152447i
$866$	−6.81666	+	3.28273i	−0.231640	+	0.111552i
$867$	29.4865	+	36.9748i	1.00141	+	1.25573i
$868$	−36.2058	−	9.16297i	−1.22890	−	0.311011i
$869$	19.6484	−	24.6384i	0.666528	−	0.835799i
$870$	1.11700	−	4.89389i	0.0378698	−	0.165918i
$871$	−0.706344	+	0.885728i	−0.0239336	+	0.0300117i
$872$	−17.0477	+	8.20972i	−0.577307	+	0.278016i
$873$	27.1202	+	34.0076i	0.917879	+	1.15098i
$874$	0.968196	+	0.466259i	0.0327497	+	0.0157714i
$875$	−16.3908	−	4.14818i	−0.554109	−	0.140234i
$876$	−64.6219	+	31.1203i	−2.18337	+	1.05146i
$877$	−7.14776	−	3.44218i	−0.241363	−	0.116234i	0.309293	−	0.950967i	$-0.399908\pi$
$877$	−7.14776	−	3.44218i	−0.241363	−	0.116234i	−0.550655	+	0.834733i	$0.685622\pi$
$878$	0.0597237	+	0.261667i	0.00201558	+	0.00883083i
$879$	−60.1578	−	28.9705i	−2.02907	−	0.977150i
$880$	−4.15527	+	5.21055i	−0.140074	+	0.175648i
$881$	−0.163385			−0.00550459			−0.00275230	−	0.999996i	$-0.500876\pi$
$881$	−0.163385			−0.00550459			−0.00275230	+	0.999996i	$0.500876\pi$
$882$	5.60763	+	7.75198i	0.188819	+	0.261023i
$883$	42.1183			1.41739			0.708697	−	0.705513i	$-0.249283\pi$
$883$	42.1183			1.41739			0.708697	+	0.705513i	$0.249283\pi$
$884$	−0.779665	+	0.977669i	−0.0262230	+	0.0328826i
$885$	−2.95393	−	1.42254i	−0.0992951	−	0.0478180i
$886$	−1.53686	−	6.73342i	−0.0516318	−	0.226214i
$887$	−7.38087	−	3.55444i	−0.247825	−	0.119346i	0.305848	−	0.952080i	$-0.401060\pi$
$887$	−7.38087	−	3.55444i	−0.247825	−	0.119346i	−0.553673	+	0.832734i	$0.686774\pi$
$888$	−15.3260	+	7.38063i	−0.514308	+	0.247678i
$889$	21.4792	+	17.9700i	0.720391	+	0.602693i
$890$	−1.74178	−	0.838798i	−0.0583847	−	0.0281166i
$891$	3.42211	+	4.29120i	0.114645	+	0.143760i
$892$	31.9229	−	15.3732i	1.06886	−	0.514734i
$893$	−13.8485	+	17.3655i	−0.463422	+	0.581113i
$894$	3.12963	−	13.7118i	0.104670	−	0.458591i
$895$	−8.15729	+	10.2289i	−0.272668	+	0.341915i
$896$	9.36101	−	18.3251i	0.312729	−	0.612197i
$897$	−2.82904	−	3.54750i	−0.0944587	−	0.118448i
$898$	1.94539	−	0.936852i	0.0649186	−	0.0312632i
$899$	16.0954	−	70.5187i	0.536813	−	2.35193i
$900$	45.1095			1.50365
$901$	1.87172			0.0623559
$902$	1.66068	−	7.27591i	0.0552946	−	0.242261i
$903$	−29.3890	+	57.5317i	−0.978004	+	1.91453i
$904$	−1.32225	−	5.79314i	−0.0439772	−	0.192677i
$905$	0.997413	+	4.36995i	0.0331551	+	0.145262i
$906$	−0.635560	−	0.796967i	−0.0211151	−	0.0264775i
$907$	−17.5080	−	21.9544i	−0.581345	−	0.728984i	0.400997	−	0.916080i	$-0.368664\pi$
$907$	−17.5080	−	21.9544i	−0.581345	−	0.728984i	−0.982342	+	0.187096i	$0.940092\pi$
$908$	−1.70899	−	7.48758i	−0.0567148	−	0.248484i
$909$	5.28472	+	23.1539i	0.175283	+	0.767966i
$910$	0.361248	+	0.302227i	0.0119753	+	0.0100187i
$911$	9.95562	−	43.6184i	0.329844	−	1.44514i	−0.489581	−	0.871958i	$-0.662850\pi$
$911$	9.95562	−	43.6184i	0.329844	−	1.44514i	0.819426	−	0.573185i	$-0.194293\pi$
$912$	−25.9247			−0.858451
$913$	20.0428			0.663319
$914$	1.18071	−	5.17303i	0.0390544	−	0.171109i
$915$	19.3656	−	9.32600i	0.640208	−	0.308308i
$916$	−2.70175	−	3.38788i	−0.0892682	−	0.111939i
$917$	0.336699	−	14.3396i	0.0111188	−	0.473534i
$918$	0.655329	−	0.821756i	0.0216291	−	0.0271220i
$919$	−8.60678	+	37.7088i	−0.283911	+	1.24390i	0.608820	+	0.793308i	$0.291643\pi$
$919$	−8.60678	+	37.7088i	−0.283911	+	1.24390i	−0.892732	+	0.450589i	$0.851214\pi$
$920$	−0.693747	+	0.869931i	−0.0228722	+	0.0286808i
$921$	28.5225	−	13.7357i	0.939850	−	0.452608i
$922$	6.32340	+	7.92929i	0.208250	+	0.261137i
$923$	−4.08813	−	1.96874i	−0.134562	−	0.0648019i
$924$	39.6976	−	8.08527i	1.30596	−	0.265986i
$925$	−23.3940	+	11.2659i	−0.769189	+	0.370422i
$926$	3.00555	+	1.44740i	0.0987686	+	0.0475645i
$927$	−3.10520	−	13.6048i	−0.101988	−	0.446840i
$928$	27.1101	+	13.0556i	0.889934	+	0.428570i
$929$	9.19896	−	11.5351i	0.301808	−	0.378456i	−0.607682	−	0.794180i	$-0.707901\pi$
$929$	9.19896	−	11.5351i	0.301808	−	0.378456i	0.909491	+	0.415725i	$0.136472\pi$
$930$	3.71553			0.121837
$931$	−10.4154	−	14.3982i	−0.341351	−	0.471883i
$932$	−56.7622			−1.85931
$933$	11.4591	−	14.3693i	0.375156	−	0.470430i
$934$	2.44877	+	1.17927i	0.0801263	+	0.0385868i
$935$	0.268501	+	1.17638i	0.00878092	+	0.0384717i
$936$	−4.83857	−	2.33013i	−0.158154	−	0.0761627i
$937$	18.5185	−	8.91804i	0.604973	−	0.291340i	−0.106213	−	0.994343i	$-0.533873\pi$
$937$	18.5185	−	8.91804i	0.604973	−	0.291340i	0.711186	+	0.703004i	$0.248158\pi$
$938$	−0.329107	−	0.726550i	−0.0107457	−	0.0237227i
$939$	17.7029	+	8.52526i	0.577711	+	0.278211i
$940$	−7.04032	−	8.82828i	−0.229630	−	0.287947i
$941$	52.8525	−	25.4524i	1.72294	−	0.829725i	0.734410	−	0.678706i	$-0.237459\pi$
$941$	52.8525	−	25.4524i	1.72294	−	0.829725i	0.988531	−	0.151019i	$-0.0482554\pi$
$942$	−5.14387	+	6.45021i	−0.167596	+	0.210159i
$943$	−3.56756	+	15.6305i	−0.116176	+	0.508999i
$944$	3.83521	−	4.80921i	0.124826	−	0.156526i
$945$	8.27216	+	6.92065i	0.269093	+	0.225129i
$946$	−3.95215	−	4.95584i	−0.128496	−	0.161128i
$947$	13.3508	−	6.42940i	0.433842	−	0.208927i	−0.204199	−	0.978929i	$-0.565459\pi$
$947$	13.3508	−	6.42940i	0.433842	−	0.208927i	0.638042	+	0.770002i	$0.279745\pi$
$948$	−13.8676	+	60.7581i	−0.450400	+	1.97333i
$949$	13.0342			0.423107
$950$	3.07541			0.0997795
$951$	−5.81284	+	25.4677i	−0.188494	+	0.825848i
$952$	−0.739873	−	1.63337i	−0.0239794	−	0.0529380i
$953$	6.32587	+	27.7155i	0.204915	+	0.897792i	0.967892	+	0.251366i	$0.0808798\pi$
$953$	6.32587	+	27.7155i	0.204915	+	0.897792i	−0.762977	+	0.646426i	$0.776263\pi$
$954$	0.878235	+	3.84780i	0.0284339	+	0.124577i
$955$	−7.57469	−	9.49836i	−0.245111	−	0.307360i
$956$	20.3788	+	25.5542i	0.659096	+	0.826481i
$957$	17.4596	+	76.4955i	0.564388	+	2.47275i
$958$	1.33801	+	5.86222i	0.0432292	+	0.189400i
$959$	0.0590600	−	2.51529i	0.00190715	−	0.0812229i
$960$	2.69645	−	11.8139i	0.0870276	−	0.381293i
$961$	22.5391			0.727069
$962$	1.51776			0.0489347
$963$	−16.4596	+	72.1144i	−0.530404	+	2.32385i
$964$	2.45410	−	1.18183i	0.0790411	−	0.0380642i
$965$	−7.64620	−	9.58803i	−0.246140	−	0.308649i
$966$	3.13032	−	0.637557i	0.100716	−	0.0205130i
$967$	−29.3454	+	36.7979i	−0.943683	+	1.18334i	0.0392227	+	0.999230i	$0.487512\pi$
$967$	−29.3454	+	36.7979i	−0.943683	+	1.18334i	−0.982906	+	0.184110i	$0.941060\pi$
$968$	0.757791	−	3.32010i	0.0243563	−	0.106712i
$969$	−2.92649	+	3.66970i	−0.0940124	+	0.117888i
$970$	−1.35831	+	0.654125i	−0.0436126	+	0.0210027i
$971$	−17.3016	−	21.6955i	−0.555235	−	0.696243i	0.422434	−	0.906394i	$-0.361176\pi$
$971$	−17.3016	−	21.6955i	−0.555235	−	0.696243i	−0.977669	+	0.210151i	$0.932604\pi$
$972$	21.9949	+	10.5922i	0.705487	+	0.339744i
$973$	−22.2737	+	16.9228i	−0.714061	+	0.542520i
$974$	7.96017	−	3.83341i	0.255060	−	0.122830i
$975$	−11.6995	−	5.63420i	−0.374685	−	0.180439i
$976$	8.97353	+	39.3156i	0.287236	+	1.25846i
$977$	−40.4343	−	19.4721i	−1.29361	−	0.622968i	−0.344756	−	0.938692i	$-0.612038\pi$
$977$	−40.4343	−	19.4721i	−1.29361	−	0.622968i	−0.948851	+	0.315724i	$0.897753\pi$
$978$	−5.06853	+	6.35573i	−0.162074	+	0.203234i
$979$	30.2180			0.965772
$980$	8.31452	−	3.53344i	0.265598	−	0.112871i
$981$	92.9489			2.96763
$982$	6.35034	−	7.96308i	0.202648	−	0.254112i
$983$	12.8052	+	6.16667i	0.408423	+	0.196686i	0.626803	−	0.779177i	$-0.284363\pi$
$983$	12.8052	+	6.16667i	0.408423	+	0.196686i	−0.218380	+	0.975864i	$0.570077\pi$
$984$	6.68878	+	29.3055i	0.213230	+	0.934224i
$985$	6.07950	+	2.92773i	0.193709	+	0.0932853i
$986$	1.53627	−	0.739827i	0.0489247	−	0.0235609i
$987$	−1.54996	+	66.0107i	−0.0493357	+	2.10114i
$988$	4.41250	+	2.12495i	0.140380	+	0.0676036i
$989$	8.49023	+	10.6464i	0.269974	+	0.338536i
$990$	−2.29237	+	1.10395i	−0.0728563	+	0.0350857i
$991$	23.1941	−	29.0845i	0.736786	−	0.923900i	−0.262370	−	0.964967i	$-0.584504\pi$
$991$	23.1941	−	29.0845i	0.736786	−	0.923900i	0.999156	+	0.0410668i	$0.0130756\pi$
$992$	−4.95601	+	21.7137i	−0.157354	+	0.689411i
$993$	0.242448	−	0.304020i	0.00769385	−	0.00964779i
$994$	2.54373	−	1.93264i	0.0806821	−	0.0612996i
$995$	−6.99991	−	8.77761i	−0.221912	−	0.278269i
$996$	−35.7109	+	17.1974i	−1.13154	+	0.544922i
$997$	10.4728	−	45.8841i	0.331675	−	1.45317i	−0.484210	−	0.874952i	$-0.660893\pi$
$997$	10.4728	−	45.8841i	0.331675	−	1.45317i	0.815886	−	0.578213i	$-0.196250\pi$
$998$	−2.47311			−0.0782848
$999$	34.7550			1.09960

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	637.2.w.b.92.13	✓	174
49.8	even	7	inner	637.2.w.b.547.13	yes	174

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
637.2.w.b.92.13	✓	174	1.1	even	1	trivial
637.2.w.b.547.13	yes	174	49.8	even	7	inner

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:	\( N \)	\(=\)	\( 637 = 7^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	637.w (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.165915 + 0.208051i) q^{2} +(2.56994 + 1.23762i) q^{3} +(0.429285 + 1.88082i) q^{4} +(0.602735 + 0.290262i) q^{5} +(-0.683878 + 0.329338i) q^{6} +(1.20359 - 2.35614i) q^{7} +(-0.942039 - 0.453662i) q^{8} +(3.20241 + 4.01570i) q^{9} +O(q^{10})\)	\(q+(-0.165915 + 0.208051i) q^{2} +(2.56994 + 1.23762i) q^{3} +(0.429285 + 1.88082i) q^{4} +(0.602735 + 0.290262i) q^{5} +(-0.683878 + 0.329338i) q^{6} +(1.20359 - 2.35614i) q^{7} +(-0.942039 - 0.453662i) q^{8} +(3.20241 + 4.01570i) q^{9} +(-0.160392 + 0.0772407i) q^{10} +(1.73494 - 2.17554i) q^{11} +(-1.22450 + 5.36487i) q^{12} +(0.623490 - 0.781831i) q^{13} +(0.290503 + 0.641326i) q^{14} +(1.18976 + 1.49191i) q^{15} +(-3.22559 + 1.55336i) q^{16} +(-0.144237 + 0.631941i) q^{17} -1.36680 q^{18} +2.53864 q^{19} +(-0.287185 + 1.25824i) q^{20} +(6.00914 - 4.56554i) q^{21} +(0.164771 + 0.721910i) q^{22} +(-0.353971 - 1.55085i) q^{23} +(-1.85952 - 2.33177i) q^{24} +(-2.83841 - 3.55926i) q^{25} +(0.0592144 + 0.259435i) q^{26} +(1.35594 + 5.94076i) q^{27} +(4.94815 + 1.25228i) q^{28} +(-2.19972 + 9.63760i) q^{29} -0.507791 q^{30} -7.31704 q^{31} +(0.677324 - 2.96755i) q^{32} +(7.15116 - 3.44382i) q^{33} +(-0.107545 - 0.134857i) q^{34} +(1.40934 - 1.07077i) q^{35} +(-6.17805 + 7.74703i) q^{36} +(1.26917 - 5.56059i) q^{37} +(-0.421198 + 0.528166i) q^{38} +(2.56994 - 1.23762i) q^{39} +(-0.436119 - 0.546876i) q^{40} +(-9.08059 - 4.37298i) q^{41} +(-0.0471416 + 2.00770i) q^{42} +(-7.71265 + 3.71422i) q^{43} +(4.83658 + 2.32917i) q^{44} +(0.764602 + 3.34994i) q^{45} +(0.381384 + 0.183665i) q^{46} +(-5.45509 + 6.84046i) q^{47} -10.2120 q^{48} +(-4.10275 - 5.67163i) q^{49} +1.21144 q^{50} +(-1.15278 + 1.44554i) q^{51} +(1.73814 + 0.837043i) q^{52} +(-0.642549 - 2.81519i) q^{53} +(-1.46095 - 0.703556i) q^{54} +(1.67718 - 0.807689i) q^{55} +(-2.20272 + 1.67355i) q^{56} +(6.52414 + 3.14186i) q^{57} +(-1.64014 - 2.05667i) q^{58} +(-1.54800 + 0.745477i) q^{59} +(-2.29526 + 2.87817i) q^{60} +(2.50648 - 10.9816i) q^{61} +(1.21401 - 1.52232i) q^{62} +(13.3159 - 2.71207i) q^{63} +(-3.95933 - 4.96485i) q^{64} +(0.602735 - 0.290262i) q^{65} +(-0.469996 + 2.05919i) q^{66} -1.13289 q^{67} -1.25049 q^{68} +(1.00967 - 4.42366i) q^{69} +(-0.0110562 + 0.470871i) q^{70} +(-1.00968 - 4.42372i) q^{71} +(-1.19503 - 5.23576i) q^{72} +(8.12667 + 10.1905i) q^{73} +(0.946311 + 1.18664i) q^{74} +(-2.88955 - 12.6599i) q^{75} +(1.08980 + 4.77472i) q^{76} +(-3.03772 - 6.70620i) q^{77} +(-0.168904 + 0.740017i) q^{78} +11.3252 q^{79} -2.39506 q^{80} +(-0.438916 + 1.92302i) q^{81} +(2.41641 - 1.16368i) q^{82} +(4.49089 + 5.63140i) q^{83} +(11.1666 + 9.34218i) q^{84} +(-0.270365 + 0.339027i) q^{85} +(0.506899 - 2.22087i) q^{86} +(-17.5808 + 22.0456i) q^{87} +(-2.62134 + 1.26237i) q^{88} +(6.77081 + 8.49033i) q^{89} +(-0.823816 - 0.396729i) q^{90} +(-1.09168 - 2.41003i) q^{91} +(2.76491 - 1.33151i) q^{92} +(-18.8043 - 9.05570i) q^{93} +(-0.518083 - 2.26987i) q^{94} +(1.53012 + 0.736869i) q^{95} +(5.41337 - 6.78815i) q^{96} +8.46867 q^{97} +(1.86070 + 0.0874280i) q^{98} +14.2923 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9}+O(q^{10}) \) 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9	\( 174 q - 3 q^{2} - 31 q^{4} - 4 q^{5} - 2 q^{6} + 9 q^{7} - 15 q^{8} - 31 q^{9} - 10 q^{10} - 5 q^{11} + 25 q^{12} - 29 q^{13} + 15 q^{14} - 10 q^{15} - 51 q^{16} - 9 q^{17} + 44 q^{18} + 24 q^{19} + 63 q^{20} - 28 q^{21} - 8 q^{22} - 13 q^{23} - 48 q^{24} - 49 q^{25} - 3 q^{26} - 9 q^{27} - 44 q^{28} + 2 q^{29} - 22 q^{30} + 10 q^{31} + 24 q^{32} - 26 q^{33} + 118 q^{34} + 5 q^{35} - 55 q^{36} - 32 q^{37} + 16 q^{38} + 42 q^{40} - 14 q^{41} + 4 q^{42} - 50 q^{43} + 35 q^{44} - q^{45} + 4 q^{46} - 24 q^{47} - 116 q^{48} - 25 q^{49} + 156 q^{50} + 12 q^{51} - 31 q^{52} - 30 q^{53} - 78 q^{54} + 25 q^{55} + 3 q^{56} - 63 q^{57} - 12 q^{58} - 4 q^{59} + 128 q^{60} - 42 q^{61} - 38 q^{62} - 85 q^{63} - 105 q^{64} - 4 q^{65} + 15 q^{66} + 94 q^{67} + 214 q^{68} + 32 q^{69} - 57 q^{70} - 29 q^{71} - 64 q^{72} - 66 q^{73} - 90 q^{74} + 131 q^{75} - 21 q^{76} - 82 q^{77} + 19 q^{78} + 6 q^{79} + 22 q^{80} + 49 q^{81} - 50 q^{82} + 25 q^{83} + 89 q^{84} - 86 q^{85} - 28 q^{86} + 24 q^{87} + 48 q^{88} - 50 q^{89} - 155 q^{90} - 5 q^{91} - 98 q^{92} + 89 q^{93} - 28 q^{94} - 130 q^{95} - 105 q^{96} - 42 q^{97} + 195 q^{98} + 438 q^{99}+O(q^{100}) \) 174 * q - 3 * q^2 - 31 * q^4 - 4 * q^5 - 2 * q^6 + 9 * q^7 - 15 * q^8 - 31 * q^9 - 10 * q^10 - 5 * q^11 + 25 * q^12 - 29 * q^13 + 15 * q^14 - 10 * q^15 - 51 * q^16 - 9 * q^17 + 44 * q^18 + 24 * q^19 + 63 * q^20 - 28 * q^21 - 8 * q^22 - 13 * q^23 - 48 * q^24 - 49 * q^25 - 3 * q^26 - 9 * q^27 - 44 * q^28 + 2 * q^29 - 22 * q^30 + 10 * q^31 + 24 * q^32 - 26 * q^33 + 118 * q^34 + 5 * q^35 - 55 * q^36 - 32 * q^37 + 16 * q^38 + 42 * q^40 - 14 * q^41 + 4 * q^42 - 50 * q^43 + 35 * q^44 - q^45 + 4 * q^46 - 24 * q^47 - 116 * q^48 - 25 * q^49 + 156 * q^50 + 12 * q^51 - 31 * q^52 - 30 * q^53 - 78 * q^54 + 25 * q^55 + 3 * q^56 - 63 * q^57 - 12 * q^58 - 4 * q^59 + 128 * q^60 - 42 * q^61 - 38 * q^62 - 85 * q^63 - 105 * q^64 - 4 * q^65 + 15 * q^66 + 94 * q^67 + 214 * q^68 + 32 * q^69 - 57 * q^70 - 29 * q^71 - 64 * q^72 - 66 * q^73 - 90 * q^74 + 131 * q^75 - 21 * q^76 - 82 * q^77 + 19 * q^78 + 6 * q^79 + 22 * q^80 + 49 * q^81 - 50 * q^82 + 25 * q^83 + 89 * q^84 - 86 * q^85 - 28 * q^86 + 24 * q^87 + 48 * q^88 - 50 * q^89 - 155 * q^90 - 5 * q^91 - 98 * q^92 + 89 * q^93 - 28 * q^94 - 130 * q^95 - 105 * q^96 - 42 * q^97 + 195 * q^98 + 438 * q^99

Introduction

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