LMFDB - Embedded newform 370.2.o.c.231.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(71,370)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(370, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 4]))

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

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

chi := DirichletCharacter("370.71");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.o (of order $9$, degree $6$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.95446487479$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$4$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			231.2
Character	$\chi$	$=$	370.231
Dual form			370.2.o.c.181.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.173648 - 0.984808i) q^{2} +(-0.116582 + 0.661169i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.766044 + 0.642788i) q^{5} +0.671368 q^{6} +(-1.79162 - 1.50334i) q^{7} +(0.500000 + 0.866025i) q^{8} +(2.39553 + 0.871900i) q^{9} +O(q^{10})$	\(q+(-0.173648 - 0.984808i) q^{2} +(-0.116582 + 0.661169i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.766044 + 0.642788i) q^{5} +0.671368 q^{6} +(-1.79162 - 1.50334i) q^{7} +(0.500000 + 0.866025i) q^{8} +(2.39553 + 0.871900i) q^{9} +(0.500000 - 0.866025i) q^{10} +(-1.60391 - 2.77806i) q^{11} +(-0.116582 - 0.661169i) q^{12} +(5.63204 - 2.04989i) q^{13} +(-1.16939 + 2.02545i) q^{14} +(-0.514298 + 0.431547i) q^{15} +(0.766044 - 0.642788i) q^{16} +(7.60849 + 2.76926i) q^{17} +(0.442675 - 2.51054i) q^{18} +(-0.751407 + 4.26144i) q^{19} +(-0.939693 - 0.342020i) q^{20} +(1.20283 - 1.00930i) q^{21} +(-2.45733 + 2.06195i) q^{22} +(2.90559 - 5.03263i) q^{23} +(-0.630880 + 0.229621i) q^{24} +(0.173648 + 0.984808i) q^{25} +(-2.99674 - 5.19051i) q^{26} +(-1.86280 + 3.22646i) q^{27} +(2.19774 + 0.799913i) q^{28} +(-0.514201 - 0.890622i) q^{29} +(0.514298 + 0.431547i) q^{30} +3.11374 q^{31} +(-0.766044 - 0.642788i) q^{32} +(2.02375 - 0.736585i) q^{33} +(1.40599 - 7.97377i) q^{34} +(-0.406127 - 2.30326i) q^{35} -2.54926 q^{36} +(-3.96978 - 4.60878i) q^{37} +4.32718 q^{38} +(0.698732 + 3.96271i) q^{39} +(-0.173648 + 0.984808i) q^{40} +(-11.5840 + 4.21623i) q^{41} +(-1.20283 - 1.00930i) q^{42} +4.57847 q^{43} +(2.45733 + 2.06195i) q^{44} +(1.27463 + 2.20773i) q^{45} +(-5.46073 - 1.98754i) q^{46} +(1.66707 - 2.88746i) q^{47} +(0.335684 + 0.581422i) q^{48} +(-0.265693 - 1.50682i) q^{49} +(0.939693 - 0.342020i) q^{50} +(-2.71796 + 4.70765i) q^{51} +(-4.59128 + 3.85254i) q^{52} +(-6.08658 + 5.10724i) q^{53} +(3.50092 + 1.27423i) q^{54} +(0.557033 - 3.15909i) q^{55} +(0.406127 - 2.30326i) q^{56} +(-2.72993 - 0.993614i) q^{57} +(-0.787801 + 0.661044i) q^{58} +(-0.839383 + 0.704326i) q^{59} +(0.335684 - 0.581422i) q^{60} +(4.23225 - 1.54041i) q^{61} +(-0.540695 - 3.06643i) q^{62} +(-2.98110 - 5.16341i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(5.63204 + 2.04989i) q^{65} +(-1.07681 - 1.86510i) q^{66} +(-10.1684 - 8.53227i) q^{67} -8.09678 q^{68} +(2.98868 + 2.50780i) q^{69} +(-2.19774 + 0.799913i) q^{70} +(-2.37854 + 13.4894i) q^{71} +(0.442675 + 2.51054i) q^{72} -1.99550 q^{73} +(-3.84942 + 4.70977i) q^{74} -0.671368 q^{75} +(-0.751407 - 4.26144i) q^{76} +(-1.30278 + 7.38844i) q^{77} +(3.78117 - 1.37623i) q^{78} +(-5.21902 - 4.37928i) q^{79} +1.00000 q^{80} +(3.94248 + 3.30814i) q^{81} +(6.16372 + 10.6759i) q^{82} +(14.9636 + 5.44630i) q^{83} +(-0.785094 + 1.35982i) q^{84} +(4.04839 + 7.01202i) q^{85} +(-0.795044 - 4.50892i) q^{86} +(0.648797 - 0.236143i) q^{87} +(1.60391 - 2.77806i) q^{88} +(-12.8134 + 10.7517i) q^{89} +(1.95285 - 1.63864i) q^{90} +(-13.1722 - 4.79427i) q^{91} +(-1.00910 + 5.72290i) q^{92} +(-0.363006 + 2.05871i) q^{93} +(-3.13307 - 1.14035i) q^{94} +(-3.31481 + 2.78146i) q^{95} +(0.514298 - 0.431547i) q^{96} +(4.35124 - 7.53657i) q^{97} +(-1.43779 + 0.523313i) q^{98} +(-1.42002 - 8.05335i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q - 6 q^{6} - 3 q^{7} + 12 q^{8} + 12 q^{9}+O(q^{10}) $ 24 * q - 6 * q^6 - 3 * q^7 + 12 * q^8 + 12 * q^9	$ 24 q - 6 q^{6} - 3 q^{7} + 12 q^{8} + 12 q^{9} + 12 q^{10} - 15 q^{11} + 3 q^{14} - 6 q^{17} + 6 q^{18} - 6 q^{19} + 36 q^{21} + 9 q^{22} + 21 q^{23} - 6 q^{26} - 12 q^{27} - 3 q^{28} + 12 q^{29} + 30 q^{31} - 39 q^{33} - 21 q^{34} + 6 q^{35} + 54 q^{36} - 12 q^{37} - 36 q^{38} - 18 q^{39} + 27 q^{41} - 36 q^{42} - 24 q^{43} - 9 q^{44} - 27 q^{45} + 3 q^{46} - 6 q^{47} - 3 q^{48} - 27 q^{49} - 6 q^{51} - 9 q^{52} + 6 q^{53} + 9 q^{54} + 9 q^{55} - 6 q^{56} - 27 q^{57} + 27 q^{58} + 51 q^{59} - 3 q^{60} - 3 q^{62} - 27 q^{63} - 12 q^{64} + 15 q^{66} - 18 q^{69} + 3 q^{70} - 66 q^{71} + 6 q^{72} + 42 q^{73} - 42 q^{74} + 6 q^{75} - 6 q^{76} + 69 q^{77} + 36 q^{78} - 30 q^{79} + 24 q^{80} - 90 q^{81} + 24 q^{82} + 57 q^{83} + 6 q^{84} - 6 q^{86} + 6 q^{87} + 15 q^{88} - 57 q^{89} + 6 q^{90} + 3 q^{91} + 15 q^{92} - 72 q^{93} + 3 q^{94} - 15 q^{95} - 3 q^{97} - 72 q^{98} + 63 q^{99}+O(q^{100}) $ 24 * q - 6 * q^6 - 3 * q^7 + 12 * q^8 + 12 * q^9 + 12 * q^10 - 15 * q^11 + 3 * q^14 - 6 * q^17 + 6 * q^18 - 6 * q^19 + 36 * q^21 + 9 * q^22 + 21 * q^23 - 6 * q^26 - 12 * q^27 - 3 * q^28 + 12 * q^29 + 30 * q^31 - 39 * q^33 - 21 * q^34 + 6 * q^35 + 54 * q^36 - 12 * q^37 - 36 * q^38 - 18 * q^39 + 27 * q^41 - 36 * q^42 - 24 * q^43 - 9 * q^44 - 27 * q^45 + 3 * q^46 - 6 * q^47 - 3 * q^48 - 27 * q^49 - 6 * q^51 - 9 * q^52 + 6 * q^53 + 9 * q^54 + 9 * q^55 - 6 * q^56 - 27 * q^57 + 27 * q^58 + 51 * q^59 - 3 * q^60 - 3 * q^62 - 27 * q^63 - 12 * q^64 + 15 * q^66 - 18 * q^69 + 3 * q^70 - 66 * q^71 + 6 * q^72 + 42 * q^73 - 42 * q^74 + 6 * q^75 - 6 * q^76 + 69 * q^77 + 36 * q^78 - 30 * q^79 + 24 * q^80 - 90 * q^81 + 24 * q^82 + 57 * q^83 + 6 * q^84 - 6 * q^86 + 6 * q^87 + 15 * q^88 - 57 * q^89 + 6 * q^90 + 3 * q^91 + 15 * q^92 - 72 * q^93 + 3 * q^94 - 15 * q^95 - 3 * q^97 - 72 * q^98 + 63 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{4}{9}\right)$	$1$

Coefficient data

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

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

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

$2$	−0.173648	−	0.984808i	−0.122788	−	0.696364i
$2$	−0.173648	−	0.984808i	−0.122788	−	0.696364i
$3$	−0.116582	+	0.661169i	−0.0673086	+	0.381726i	0.932481	+	0.361219i	$0.117639\pi$
$3$	−0.116582	+	0.661169i	−0.0673086	+	0.381726i	−0.999790	+	0.0205072i	$0.993472\pi$
$4$	−0.939693	+	0.342020i	−0.469846	+	0.171010i
$5$	0.766044	+	0.642788i	0.342585	+	0.287463i
$5$	0.766044	+	0.642788i	0.342585	+	0.287463i
$6$	0.671368			0.274085
$7$	−1.79162	−	1.50334i	−0.677167	−	0.568211i	0.238010	−	0.971263i	$-0.423505\pi$
$7$	−1.79162	−	1.50334i	−0.677167	−	0.568211i	−0.915177	+	0.403052i	$0.867949\pi$
$8$	0.500000	+	0.866025i	0.176777	+	0.306186i
$9$	2.39553	+	0.871900i	0.798508	+	0.290633i
$10$	0.500000	−	0.866025i	0.158114	−	0.273861i
$11$	−1.60391	−	2.77806i	−0.483597	−	0.837615i	0.516225	−	0.856453i	$-0.327337\pi$
$11$	−1.60391	−	2.77806i	−0.483597	−	0.837615i	−0.999823	+	0.0188376i	$0.994003\pi$
$12$	−0.116582	−	0.661169i	−0.0336543	−	0.190863i
$13$	5.63204	−	2.04989i	1.56205	−	0.568538i	0.590842	−	0.806787i	$-0.298796\pi$
$13$	5.63204	−	2.04989i	1.56205	−	0.568538i	0.971204	+	0.238249i	$0.0765734\pi$
$14$	−1.16939	+	2.02545i	−0.312534	+	0.541325i
$15$	−0.514298	+	0.431547i	−0.132791	+	0.111425i
$16$	0.766044	−	0.642788i	0.191511	−	0.160697i
$17$	7.60849	+	2.76926i	1.84533	+	0.671645i	0.987480	+	0.157742i	$0.0504213\pi$
$17$	7.60849	+	2.76926i	1.84533	+	0.671645i	0.857848	+	0.513903i	$0.171801\pi$
$18$	0.442675	−	2.51054i	0.104340	−	0.591739i
$19$	−0.751407	+	4.26144i	−0.172385	+	0.977642i	0.768735	+	0.639568i	$0.220887\pi$
$19$	−0.751407	+	4.26144i	−0.172385	+	0.977642i	−0.941119	+	0.338074i	$0.890224\pi$
$20$	−0.939693	−	0.342020i	−0.210122	−	0.0764780i
$21$	1.20283	−	1.00930i	0.262480	−	0.220247i
$22$	−2.45733	+	2.06195i	−0.523905	+	0.439609i
$23$	2.90559	−	5.03263i	0.605858	−	1.04938i	−0.386058	−	0.922475i	$-0.626163\pi$
$23$	2.90559	−	5.03263i	0.605858	−	1.04938i	0.991915	−	0.126902i	$-0.0405033\pi$
$24$	−0.630880	+	0.229621i	−0.128778	+	0.0468713i
$25$	0.173648	+	0.984808i	0.0347296	+	0.196962i
$26$	−2.99674	−	5.19051i	−0.587710	−	1.01794i
$27$	−1.86280	+	3.22646i	−0.358496	+	0.620933i
$28$	2.19774	+	0.799913i	0.415334	+	0.151169i
$29$	−0.514201	−	0.890622i	−0.0954846	−	0.165384i	0.814326	−	0.580408i	$-0.197107\pi$
$29$	−0.514201	−	0.890622i	−0.0954846	−	0.165384i	−0.909811	+	0.415023i	$0.863773\pi$
$30$	0.514298	+	0.431547i	0.0938975	+	0.0787894i
$31$	3.11374			0.559244			0.279622	−	0.960110i	$-0.409791\pi$
$31$	3.11374			0.559244			0.279622	+	0.960110i	$0.409791\pi$
$32$	−0.766044	−	0.642788i	−0.135419	−	0.113630i
$33$	2.02375	−	0.736585i	0.352290	−	0.128223i
$34$	1.40599	−	7.97377i	0.241126	−	1.36749i
$35$	−0.406127	−	2.30326i	−0.0686479	−	0.389322i
$36$	−2.54926			−0.424877
$37$	−3.96978	−	4.60878i	−0.652627	−	0.757679i
$37$	−3.96978	−	4.60878i	−0.652627	−	0.757679i
$38$	4.32718			0.701962
$39$	0.698732	+	3.96271i	0.111887	+	0.634541i
$40$	−0.173648	+	0.984808i	−0.0274562	+	0.155712i
$41$	−11.5840	+	4.21623i	−1.80912	+	0.658465i	−0.811910	+	0.583782i	$0.801572\pi$
$41$	−11.5840	+	4.21623i	−1.80912	+	0.658465i	−0.997207	+	0.0746828i	$0.976206\pi$
$42$	−1.20283	−	1.00930i	−0.185601	−	0.155738i
$43$	4.57847			0.698211			0.349105	−	0.937083i	$-0.386486\pi$
$43$	4.57847			0.698211			0.349105	+	0.937083i	$0.386486\pi$
$44$	2.45733	+	2.06195i	0.370457	+	0.310850i
$45$	1.27463	+	2.20773i	0.190011	+	0.329109i
$46$	−5.46073	−	1.98754i	−0.805140	−	0.293047i
$47$	1.66707	−	2.88746i	0.243168	−	0.421179i	−0.718447	−	0.695581i	$-0.755147\pi$
$47$	1.66707	−	2.88746i	0.243168	−	0.421179i	0.961615	+	0.274403i	$0.0884802\pi$
$48$	0.335684	+	0.581422i	0.0484518	+	0.0839210i
$49$	−0.265693	−	1.50682i	−0.0379561	−	0.215260i
$50$	0.939693	−	0.342020i	0.132893	−	0.0483690i
$51$	−2.71796	+	4.70765i	−0.380591	+	0.659202i
$52$	−4.59128	+	3.85254i	−0.636696	+	0.534251i
$53$	−6.08658	+	5.10724i	−0.836056	+	0.701534i	−0.956673	−	0.291165i	$-0.905957\pi$
$53$	−6.08658	+	5.10724i	−0.836056	+	0.701534i	0.120617	+	0.992699i	$0.461513\pi$
$54$	3.50092	+	1.27423i	0.476415	+	0.173401i
$55$	0.557033	−	3.15909i	0.0751102	−	0.425971i
$56$	0.406127	−	2.30326i	0.0542709	−	0.307786i
$57$	−2.72993	−	0.993614i	−0.361588	−	0.131607i
$58$	−0.787801	+	0.661044i	−0.103443	+	0.0867993i
$59$	−0.839383	+	0.704326i	−0.109278	+	0.0916954i	−0.695790	−	0.718246i	$-0.744945\pi$
$59$	−0.839383	+	0.704326i	−0.109278	+	0.0916954i	0.586511	+	0.809941i	$0.300501\pi$
$60$	0.335684	−	0.581422i	0.0433366	−	0.0750612i
$61$	4.23225	−	1.54041i	0.541884	−	0.197230i	−0.0565527	−	0.998400i	$-0.518011\pi$
$61$	4.23225	−	1.54041i	0.541884	−	0.197230i	0.598437	+	0.801170i	$0.295789\pi$
$62$	−0.540695	−	3.06643i	−0.0686684	−	0.389438i
$63$	−2.98110	−	5.16341i	−0.375583	−	0.650529i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	5.63204	+	2.04989i	0.698568	+	0.254258i
$66$	−1.07681	−	1.86510i	−0.132547	−	0.229578i
$67$	−10.1684	−	8.53227i	−1.24226	−	1.04238i	−0.997344	−	0.0728389i	$-0.976794\pi$
$67$	−10.1684	−	8.53227i	−1.24226	−	1.04238i	−0.244919	−	0.969543i	$-0.578761\pi$
$68$	−8.09678			−0.981879
$69$	2.98868	+	2.50780i	0.359795	+	0.301904i
$70$	−2.19774	+	0.799913i	−0.262681	+	0.0956079i
$71$	−2.37854	+	13.4894i	−0.282281	+	1.60089i	0.432558	+	0.901606i	$0.357611\pi$
$71$	−2.37854	+	13.4894i	−0.282281	+	1.60089i	−0.714839	+	0.699289i	$0.753500\pi$
$72$	0.442675	+	2.51054i	0.0521698	+	0.295869i
$73$	−1.99550			−0.233556			−0.116778	−	0.993158i	$-0.537257\pi$
$73$	−1.99550			−0.233556			−0.116778	+	0.993158i	$0.537257\pi$
$74$	−3.84942	+	4.70977i	−0.447486	+	0.547500i
$75$	−0.671368			−0.0775229
$76$	−0.751407	−	4.26144i	−0.0861923	−	0.488821i
$77$	−1.30278	+	7.38844i	−0.148466	+	0.841991i
$78$	3.78117	−	1.37623i	0.428133	−	0.155828i
$79$	−5.21902	−	4.37928i	−0.587186	−	0.492707i	0.300112	−	0.953904i	$-0.402976\pi$
$79$	−5.21902	−	4.37928i	−0.587186	−	0.492707i	−0.887298	+	0.461197i	$0.847420\pi$
$80$	1.00000			0.111803
$81$	3.94248	+	3.30814i	0.438054	+	0.367571i
$82$	6.16372	+	10.6759i	0.680669	+	1.17895i
$83$	14.9636	+	5.44630i	1.64247	+	0.597809i	0.987468	−	0.157820i	$-0.0504464\pi$
$83$	14.9636	+	5.44630i	1.64247	+	0.597809i	0.655000	+	0.755629i	$0.272669\pi$
$84$	−0.785094	+	1.35982i	−0.0856608	+	0.148369i
$85$	4.04839	+	7.01202i	0.439110	+	0.760560i
$86$	−0.795044	−	4.50892i	−0.0857318	−	0.486209i
$87$	0.648797	−	0.236143i	0.0695584	−	0.0253172i
$88$	1.60391	−	2.77806i	0.170978	−	0.296142i
$89$	−12.8134	+	10.7517i	−1.35822	+	1.13968i	−0.381687	+	0.924292i	$0.624657\pi$
$89$	−12.8134	+	10.7517i	−1.35822	+	1.13968i	−0.976529	+	0.215387i	$0.930899\pi$
$90$	1.95285	−	1.63864i	0.205848	−	0.172727i
$91$	−13.1722	−	4.79427i	−1.38082	−	0.502576i
$92$	−1.00910	+	5.72290i	−0.105206	+	0.596653i
$93$	−0.363006	+	2.05871i	−0.0376419	+	0.213478i
$94$	−3.13307	−	1.14035i	−0.323152	−	0.117618i
$95$	−3.31481	+	2.78146i	−0.340093	+	0.285372i
$96$	0.514298	−	0.431547i	0.0524903	−	0.0440446i
$97$	4.35124	−	7.53657i	0.441802	−	0.765223i	−0.556022	−	0.831168i	$-0.687673\pi$
$97$	4.35124	−	7.53657i	0.441802	−	0.765223i	0.997823	+	0.0659449i	$0.0210062\pi$
$98$	−1.43779	+	0.523313i	−0.145239	+	0.0528625i
$99$	−1.42002	−	8.05335i	−0.142718	−	0.809392i
$100$	−0.500000	−	0.866025i	−0.0500000	−	0.0866025i
$101$	0.146444	−	0.253648i	0.0145717	−	0.0252389i	−0.858648	−	0.512566i	$-0.828695\pi$
$101$	0.146444	−	0.253648i	0.0145717	−	0.0252389i	0.873219	+	0.487327i	$0.162028\pi$
$102$	5.10809	+	1.85919i	0.505777	+	0.184088i
$103$	9.59776	+	16.6238i	0.945695	+	1.63799i	0.754354	+	0.656468i	$0.227950\pi$
$103$	9.59776	+	16.6238i	0.945695	+	1.63799i	0.191341	+	0.981524i	$0.438716\pi$
$104$	4.59128	+	3.85254i	0.450212	+	0.377773i
$105$	1.57019			0.153235
$106$	6.08658	+	5.10724i	0.591181	+	0.496059i
$107$	−7.68761	+	2.79806i	−0.743190	+	0.270499i	−0.685737	−	0.727849i	$-0.740520\pi$
$107$	−7.68761	+	2.79806i	−0.743190	+	0.270499i	−0.0574525	+	0.998348i	$0.518298\pi$
$108$	0.646944	−	3.66900i	0.0622522	−	0.353050i
$109$	−0.644112	−	3.65294i	−0.0616947	−	0.349888i	−0.999992	−	0.00405783i	$-0.998708\pi$
$109$	−0.644112	−	3.65294i	−0.0616947	−	0.349888i	0.938297	−	0.345830i	$-0.112403\pi$
$110$	−3.20782			−0.305854
$111$	3.50999	−	2.08739i	0.333153	−	0.198126i
$112$	−2.33879			−0.220995
$113$	0.663441	+	3.76256i	0.0624113	+	0.353952i	0.999981	+	0.00615484i	$0.00195916\pi$
$113$	0.663441	+	3.76256i	0.0624113	+	0.353952i	−0.937570	+	0.347797i	$0.886930\pi$
$114$	−0.504471	+	2.86100i	−0.0472480	+	0.267957i
$115$	5.46073	−	1.98754i	0.509215	−	0.185339i
$116$	0.787801	+	0.661044i	0.0731455	+	0.0613763i
$117$	15.2790			1.41254
$118$	0.839383	+	0.704326i	0.0772715	+	0.0648384i
$119$	−9.46833	−	16.3996i	−0.867961	−	1.50335i
$120$	−0.630880	−	0.229621i	−0.0575912	−	0.0209615i
$121$	0.354938	−	0.614770i	0.0322671	−	0.0558882i
$122$	−2.25193	−	3.90046i	−0.203881	−	0.353131i
$123$	−1.43716	−	8.15052i	−0.129584	−	0.734907i
$124$	−2.92596	+	1.06496i	−0.262759	+	0.0956364i
$125$	−0.500000	+	0.866025i	−0.0447214	+	0.0774597i
$126$	−4.56731	+	3.83242i	−0.406888	+	0.341419i
$127$	3.16564	−	2.65629i	0.280905	−	0.235708i	−0.491438	−	0.870912i	$-0.663529\pi$
$127$	3.16564	−	2.65629i	0.280905	−	0.235708i	0.772344	+	0.635205i	$0.219084\pi$
$128$	0.939693	+	0.342020i	0.0830579	+	0.0302306i
$129$	−0.533767	+	3.02714i	−0.0469956	+	0.266525i
$130$	1.04076	−	5.90243i	0.0912806	−	0.517678i
$131$	−17.1112	−	6.22797i	−1.49501	−	0.544140i	−0.540248	−	0.841506i	$-0.681670\pi$
$131$	−17.1112	−	6.22797i	−1.49501	−	0.544140i	−0.954764	+	0.297366i	$0.903892\pi$
$132$	−1.64978	+	1.38433i	−0.143595	+	0.120490i
$133$	7.75265	−	6.50525i	0.672240	−	0.564077i
$134$	−6.63693	+	11.4955i	−0.573343	+	0.993059i
$135$	−3.50092	+	1.27423i	−0.301311	+	0.109668i
$136$	1.40599	+	7.97377i	0.120563	+	0.683745i
$137$	−6.08051	−	10.5318i	−0.519493	−	0.899788i	−0.999743	−	0.0226569i	$-0.992787\pi$
$137$	−6.08051	−	10.5318i	−0.519493	−	0.899788i	0.480250	−	0.877132i	$-0.340546\pi$
$138$	1.95072	−	3.37875i	0.166056	−	0.287618i
$139$	5.33069	+	1.94021i	0.452143	+	0.164567i	0.558046	−	0.829810i	$-0.311551\pi$
$139$	5.33069	+	1.94021i	0.452143	+	0.164567i	−0.105903	+	0.994376i	$0.533773\pi$
$140$	1.16939	+	2.02545i	0.0988319	+	0.171182i
$141$	1.71474	+	1.43884i	0.144408	+	0.121172i
$142$	13.6975			1.14947
$143$	−14.7280	−	12.3583i	−1.23162	−	1.03345i
$144$	2.39553	−	0.871900i	0.199627	−	0.0726583i
$145$	0.178580	−	1.01278i	0.0148303	−	0.0841066i
$146$	0.346515	+	1.96519i	0.0286778	+	0.162640i
$147$	1.02724			0.0847250
$148$	5.30667	+	2.97310i	0.436205	+	0.244387i
$149$	0.0305403			0.00250196			0.00125098	−	0.999999i	$-0.499602\pi$
$149$	0.0305403			0.00250196			0.00125098	+	0.999999i	$0.499602\pi$
$150$	0.116582	+	0.661169i	0.00951887	+	0.0539842i
$151$	−1.25580	+	7.12200i	−0.102196	+	0.579580i	0.890108	+	0.455750i	$0.150629\pi$
$151$	−1.25580	+	7.12200i	−0.102196	+	0.579580i	−0.992303	+	0.123830i	$0.960482\pi$
$152$	−4.06622	+	1.47998i	−0.329814	+	0.120043i
$153$	15.8118	+	13.2677i	1.27831	+	1.07263i
$154$	7.50242			0.604562
$155$	2.38526	+	2.00147i	0.191589	+	0.160762i
$156$	−2.01192	−	3.48475i	−0.161082	−	0.279003i
$157$	−13.1887	−	4.80028i	−1.05257	−	0.383104i	−0.242938	−	0.970042i	$-0.578111\pi$
$157$	−13.1887	−	4.80028i	−1.05257	−	0.383104i	−0.809632	+	0.586937i	$0.800333\pi$
$158$	−3.40647	+	5.90019i	−0.271005	+	0.469394i
$159$	−2.66716	−	4.61967i	−0.211520	−	0.366363i
$160$	−0.173648	−	0.984808i	−0.0137281	−	0.0778559i
$161$	−12.7715	+	4.64844i	−1.00653	+	0.366349i
$162$	2.57327	−	4.45704i	0.202175	−	0.350178i
$163$	4.47478	−	3.75479i	0.350492	−	0.294098i	−0.450496	−	0.892779i	$-0.648753\pi$
$163$	4.47478	−	3.75479i	0.350492	−	0.294098i	0.800988	+	0.598681i	$0.204308\pi$
$164$	9.44337	−	7.92393i	0.737403	−	0.618755i
$165$	2.02375	+	0.736585i	0.157549	+	0.0573431i
$166$	2.76516	−	15.6820i	0.214618	−	1.21716i
$167$	−3.83094	+	21.7263i	−0.296447	+	1.68123i	0.364817	+	0.931079i	$0.381132\pi$
$167$	−3.83094	+	21.7263i	−0.296447	+	1.68123i	−0.661264	+	0.750154i	$0.729980\pi$
$168$	1.47549	+	0.537036i	0.113837	+	0.0414332i
$169$	17.5592	−	14.7339i	1.35071	−	1.13338i
$170$	6.20249	−	5.20451i	0.475710	−	0.399168i
$171$	−5.51557	+	9.55324i	−0.421786	+	0.730555i
$172$	−4.30236	+	1.56593i	−0.328052	+	0.119401i
$173$	−2.71915	−	15.4211i	−0.206733	−	1.17244i	−0.894689	−	0.446689i	$-0.852603\pi$
$173$	−2.71915	−	15.4211i	−0.206733	−	1.17244i	0.687956	−	0.725752i	$-0.258508\pi$
$174$	−0.345218	−	0.597935i	−0.0261709	−	0.0453293i
$175$	1.16939	−	2.02545i	0.0883979	−	0.153110i
$176$	−3.01437	−	1.09714i	−0.227216	−	0.0827000i
$177$	−0.367821	−	0.637085i	−0.0276471	−	0.0478863i
$178$	12.8134	+	10.7517i	0.960404	+	0.805874i
$179$	−10.5042			−0.785119			−0.392560	−	0.919727i	$-0.628410\pi$
$179$	−10.5042			−0.785119			−0.392560	+	0.919727i	$0.628410\pi$
$180$	−1.95285	−	1.63864i	−0.145557	−	0.122137i
$181$	−4.58041	+	1.66713i	−0.340459	+	0.123917i	−0.506591	−	0.862187i	$-0.669094\pi$
$181$	−4.58041	+	1.66713i	−0.340459	+	0.123917i	0.166132	+	0.986104i	$0.446872\pi$
$182$	−2.43412	+	13.8046i	−0.180429	+	1.02326i
$183$	0.525069	+	2.97782i	0.0388142	+	0.220127i
$184$	5.81118			0.428406
$185$	−0.0785560	−	6.08226i	−0.00577555	−	0.447176i
$186$	2.09047			0.153280
$187$	−4.51017	−	25.5784i	−0.329816	−	1.87048i
$188$	−0.578968	+	3.28349i	−0.0422256	+	0.239473i
$189$	8.18791	−	2.98016i	0.595583	−	0.216774i
$190$	3.31481	+	2.78146i	0.240482	+	0.201788i
$191$	8.69804			0.629368			0.314684	−	0.949197i	$-0.398101\pi$
$191$	8.69804			0.629368			0.314684	+	0.949197i	$0.398101\pi$
$192$	−0.514298	−	0.431547i	−0.0371163	−	0.0311442i
$193$	−8.62757	−	14.9434i	−0.621026	−	1.07565i	−0.989295	−	0.145929i	$-0.953383\pi$
$193$	−8.62757	−	14.9434i	−0.621026	−	1.07565i	0.368269	−	0.929719i	$-0.379951\pi$
$194$	−8.17766	−	2.97642i	−0.587122	−	0.213695i
$195$	−2.01192	+	3.48475i	−0.144077	+	0.249548i
$196$	0.765032	+	1.32507i	0.0546451	+	0.0946481i
$197$	−0.934857	−	5.30184i	−0.0666058	−	0.377740i	−0.999830	−	0.0184454i	$-0.994128\pi$
$197$	−0.934857	−	5.30184i	−0.0666058	−	0.377740i	0.933224	−	0.359295i	$-0.116983\pi$
$198$	−7.68442	+	2.79690i	−0.546108	+	0.198767i
$199$	8.74212	−	15.1418i	0.619712	−	1.07337i	−0.369826	−	0.929101i	$-0.620583\pi$
$199$	8.74212	−	15.1418i	0.619712	−	1.07337i	0.989538	−	0.144272i	$-0.0460840\pi$
$200$	−0.766044	+	0.642788i	−0.0541675	+	0.0454519i
$201$	6.82671	−	5.72829i	0.481519	−	0.404043i
$202$	−0.275224	−	0.100173i	−0.0193647	−	0.00704818i
$203$	−0.417661	+	2.36867i	−0.0293141	+	0.166248i
$204$	0.943938	−	5.35334i	0.0660889	−	0.374809i
$205$	−11.5840	−	4.21623i	−0.809062	−	0.294474i
$206$	14.7046	−	12.3386i	1.02452	−	0.859674i
$207$	11.3484	−	9.52241i	0.788766	−	0.661853i
$208$	2.99674	−	5.19051i	0.207787	−	0.359897i
$209$	13.0437	−	4.74752i	0.902253	−	0.328393i
$210$	−0.272660	−	1.54633i	−0.0188154	−	0.106707i
$211$	−0.175407	−	0.303814i	−0.0120755	−	0.0209154i	0.859924	−	0.510421i	$-0.170511\pi$
$211$	−0.175407	−	0.303814i	−0.0120755	−	0.0209154i	−0.872000	+	0.489506i	$0.837177\pi$
$212$	3.97273	−	6.88097i	0.272848	−	0.472587i
$213$	−8.64146	−	3.14523i	−0.592103	−	0.215508i
$214$	4.09049	+	7.08494i	0.279620	+	0.484317i
$215$	3.50731	+	2.94299i	0.239197	+	0.200710i
$216$	−3.72560			−0.253495
$217$	−5.57863	−	4.68102i	−0.378702	−	0.317769i
$218$	−3.48560	+	1.26865i	−0.236074	+	0.0859240i
$219$	0.232639	−	1.31936i	0.0157203	−	0.0891544i
$220$	0.557033	+	3.15909i	0.0375551	+	0.212986i
$221$	48.5280			3.26434
$222$	−2.66518	−	3.09419i	−0.178875	−	0.207668i
$223$	18.7098			1.25290			0.626451	−	0.779461i	$-0.284507\pi$
$223$	18.7098			1.25290			0.626451	+	0.779461i	$0.284507\pi$
$224$	0.406127	+	2.30326i	0.0271355	+	0.153893i
$225$	−0.442675	+	2.51054i	−0.0295117	+	0.167369i
$226$	3.59020	−	1.30672i	0.238816	−	0.0869220i
$227$	−14.3323	−	12.0263i	−0.951271	−	0.798211i	0.0282403	−	0.999601i	$-0.491010\pi$
$227$	−14.3323	−	12.0263i	−0.951271	−	0.798211i	−0.979511	+	0.201390i	$0.935454\pi$
$228$	2.90513			0.192397
$229$	1.48450	+	1.24564i	0.0980983	+	0.0823142i	0.690518	−	0.723315i	$-0.257383\pi$
$229$	1.48450	+	1.24564i	0.0980983	+	0.0823142i	−0.592419	+	0.805630i	$0.701827\pi$
$230$	−2.90559	−	5.03263i	−0.191589	−	0.331842i
$231$	−4.73313	−	1.72272i	−0.311417	−	0.113346i
$232$	0.514201	−	0.890622i	0.0337589	−	0.0584722i
$233$	8.94937	+	15.5008i	0.586293	+	1.01549i	0.994713	+	0.102695i	$0.0327464\pi$
$233$	8.94937	+	15.5008i	0.586293	+	1.01549i	−0.408420	+	0.912794i	$0.633920\pi$
$234$	−2.65317	−	15.0469i	−0.173443	−	0.983645i
$235$	3.13307	−	1.14035i	0.204379	−	0.0743879i
$236$	0.547868	−	0.948936i	0.0356632	−	0.0617704i
$237$	3.50388	−	2.94011i	0.227602	−	0.190981i
$238$	−14.5063	+	12.1723i	−0.940306	+	0.789010i
$239$	−10.1897	−	3.70875i	−0.659118	−	0.239899i	−0.00926233	−	0.999957i	$-0.502948\pi$
$239$	−10.1897	−	3.70875i	−0.659118	−	0.239899i	−0.649855	+	0.760058i	$0.725171\pi$
$240$	−0.116582	+	0.661169i	−0.00752533	+	0.0426783i
$241$	−3.10718	+	17.6217i	−0.200151	+	1.13511i	0.704739	+	0.709466i	$0.251064\pi$
$241$	−3.10718	+	17.6217i	−0.200151	+	1.13511i	−0.904890	+	0.425645i	$0.860047\pi$
$242$	−0.667065	−	0.242792i	−0.0428805	−	0.0156072i
$243$	−11.2088	+	9.40529i	−0.719044	+	0.603349i
$244$	−3.45016	+	2.89503i	−0.220874	+	0.185335i
$245$	0.765032	−	1.32507i	0.0488761	−	0.0846559i
$246$	−7.77713	+	2.83064i	−0.495852	+	0.180475i
$247$	4.50355	+	25.5409i	0.286554	+	1.62513i
$248$	1.55687	+	2.69658i	0.0988613	+	0.171233i
$249$	−5.34541	+	9.25852i	−0.338751	+	0.586735i
$250$	0.939693	+	0.342020i	0.0594314	+	0.0216313i
$251$	9.59491	+	16.6189i	0.605625	+	1.04897i	0.991952	+	0.126612i	$0.0404103\pi$
$251$	9.59491	+	16.6189i	0.605625	+	1.04897i	−0.386327	+	0.922362i	$0.626256\pi$
$252$	4.56731	+	3.83242i	0.287713	+	0.241420i
$253$	−18.6412			−1.17196
$254$	−3.16564	−	2.65629i	−0.198630	−	0.166670i
$255$	−5.10809	+	1.85919i	−0.319881	+	0.116427i
$256$	0.173648	−	0.984808i	0.0108530	−	0.0615505i
$257$	2.64684	+	15.0110i	0.165106	+	0.936360i	0.948956	+	0.315410i	$0.102142\pi$
$257$	2.64684	+	15.0110i	0.165106	+	0.936360i	−0.783850	+	0.620950i	$0.786747\pi$
$258$	3.07384			0.191369
$259$	0.183726	+	14.2251i	0.0114162	+	0.883906i
$260$	−5.99349			−0.371700
$261$	−0.455248	−	2.58184i	−0.0281791	−	0.159812i
$262$	−3.16202	+	17.9327i	−0.195350	+	1.10789i
$263$	−10.0567	+	3.66034i	−0.620123	+	0.225706i	−0.632927	−	0.774212i	$-0.718147\pi$
$263$	−10.0567	+	3.66034i	−0.620123	+	0.225706i	0.0128039	+	0.999918i	$0.495924\pi$
$264$	1.64978	+	1.38433i	0.101537	+	0.0851994i
$265$	−7.94546			−0.488086
$266$	−7.75265	−	6.50525i	−0.475346	−	0.398862i
$267$	−5.61488	−	9.72526i	−0.343625	−	0.595176i
$268$	12.4733	+	4.53992i	0.761931	+	0.277320i
$269$	2.05898	−	3.56626i	0.125538	−	0.217438i	−0.796405	−	0.604764i	$-0.793268\pi$
$269$	2.05898	−	3.56626i	0.125538	−	0.217438i	0.921943	+	0.387325i	$0.126601\pi$
$270$	1.86280	+	3.22646i	0.113366	+	0.196356i
$271$	−1.30168	−	7.38220i	−0.0790715	−	0.448437i	−0.998479	−	0.0551308i	$-0.982442\pi$
$271$	−1.30168	−	7.38220i	−0.0790715	−	0.448437i	0.919408	−	0.393306i	$-0.128669\pi$
$272$	7.60849	−	2.76926i	0.461332	−	0.167911i
$273$	4.70546	−	8.15009i	0.284787	−	0.493266i
$274$	−9.31588	+	7.81695i	−0.562793	+	0.472239i
$275$	2.45733	−	2.06195i	0.148183	−	0.124340i
$276$	−3.66616	−	1.33437i	−0.220677	−	0.0803198i
$277$	−0.721499	+	4.09182i	−0.0433506	+	0.245854i	−0.998781	−	0.0493632i	$-0.984281\pi$
$277$	−0.721499	+	4.09182i	−0.0433506	+	0.245854i	0.955430	+	0.295217i	$0.0953919\pi$
$278$	0.985071	−	5.58661i	0.0590806	−	0.335063i
$279$	7.45904	+	2.71487i	0.446561	+	0.162535i
$280$	1.79162	−	1.50334i	0.107070	−	0.0898420i
$281$	−10.2285	+	8.58276i	−0.610183	+	0.512005i	−0.894701	−	0.446666i	$-0.852611\pi$
$281$	−10.2285	+	8.58276i	−0.610183	+	0.512005i	0.284517	+	0.958671i	$0.408167\pi$
$282$	1.11922	−	1.93855i	0.0666486	−	0.115439i
$283$	−29.2007	+	10.6282i	−1.73580	+	0.631780i	−0.999016	−	0.0443464i	$-0.985879\pi$
$283$	−29.2007	+	10.6282i	−1.73580	+	0.631780i	−0.736785	+	0.676127i	$0.763657\pi$
$284$	−2.37854	−	13.4894i	−0.141140	−	0.800447i
$285$	−1.45257	−	2.51592i	−0.0860426	−	0.149030i
$286$	−9.61302	+	16.6502i	−0.568430	+	0.984550i
$287$	27.0926	+	9.86088i	1.59922	+	0.582069i
$288$	−1.27463	−	2.20773i	−0.0751084	−	0.130092i
$289$	37.1975	+	31.2124i	2.18809	+	1.83602i
$290$	−1.02840			−0.0603898
$291$	4.47567	+	3.75553i	0.262368	+	0.220153i
$292$	1.87516	−	0.682502i	0.109735	−	0.0399404i
$293$	−1.32789	+	7.53086i	−0.0775764	+	0.439958i	0.921137	+	0.389240i	$0.127262\pi$
$293$	−1.32789	+	7.53086i	−0.0775764	+	0.439958i	−0.998713	+	0.0507182i	$0.983849\pi$
$294$	−0.178378	−	1.01163i	−0.0104032	−	0.0589995i
$295$	−1.09574			−0.0637962
$296$	2.00644	−	5.74232i	0.116622	−	0.333765i
$297$	11.9511			0.693471
$298$	−0.00530327	−	0.0300763i	−0.000307210	−	0.00174227i
$299$	6.04804	−	34.3001i	0.349767	−	1.98363i
$300$	0.630880	−	0.229621i	0.0364239	−	0.0132572i
$301$	−8.20287	−	6.88303i	−0.472806	−	0.396731i
$302$	7.23187			0.416147
$303$	0.150631	+	0.126395i	0.00865355	+	0.00726119i
$304$	2.16359	+	3.74745i	0.124090	+	0.214931i
$305$	4.23225	+	1.54041i	0.242338	+	0.0882038i
$306$	10.3204	−	17.8755i	0.589979	−	1.02187i
$307$	−11.1386	−	19.2926i	−0.635711	−	1.10108i	−0.986364	−	0.164579i	$-0.947373\pi$
$307$	−11.1386	−	19.2926i	−0.635711	−	1.10108i	0.350652	−	0.936506i	$-0.385960\pi$
$308$	−1.30278	−	7.38844i	−0.0742329	−	0.420996i
$309$	−12.1101	+	4.40770i	−0.688917	+	0.250745i
$310$	1.55687	−	2.69658i	0.0884243	−	0.153155i
$311$	8.63695	−	7.24727i	0.489757	−	0.410955i	−0.364182	−	0.931328i	$-0.618652\pi$
$311$	8.63695	−	7.24727i	0.489757	−	0.410955i	0.853939	+	0.520373i	$0.174207\pi$
$312$	−3.08244	+	2.58647i	−0.174509	+	0.146430i
$313$	−4.11427	−	1.49747i	−0.232552	−	0.0846420i	0.223116	−	0.974792i	$-0.428377\pi$
$313$	−4.11427	−	1.49747i	−0.232552	−	0.0846420i	−0.455668	+	0.890150i	$0.650599\pi$
$314$	−2.43717	+	13.8219i	−0.137537	+	0.780013i
$315$	1.03532	−	5.87161i	0.0583339	−	0.330828i
$316$	6.40208	+	2.33017i	0.360145	+	0.131082i
$317$	−5.51253	+	4.62556i	−0.309615	+	0.259797i	−0.784333	−	0.620340i	$-0.786994\pi$
$317$	−5.51253	+	4.62556i	−0.309615	+	0.259797i	0.474718	+	0.880138i	$0.342550\pi$
$318$	−4.08633	+	3.42884i	−0.229150	+	0.192280i
$319$	−1.64946	+	2.85696i	−0.0923523	+	0.159959i
$320$	−0.939693	+	0.342020i	−0.0525304	+	0.0191195i
$321$	−0.953755	−	5.40901i	−0.0532334	−	0.301902i
$322$	6.79557	+	11.7703i	0.378702	+	0.655931i
$323$	−17.5181	+	30.3423i	−0.974735	+	1.68829i
$324$	−4.83617	−	1.76022i	−0.268676	−	0.0977901i
$325$	2.99674	+	5.19051i	0.166229	+	0.287918i
$326$	−4.47478	−	3.75479i	−0.247835	−	0.207959i
$327$	2.49030			0.137714
$328$	−9.44337	−	7.92393i	−0.521423	−	0.437526i
$329$	−7.32760	+	2.66703i	−0.403983	+	0.147038i
$330$	0.373974	−	2.12091i	0.0205866	−	0.116752i
$331$	1.47759	+	8.37982i	0.0812156	+	0.460596i	0.998109	+	0.0614648i	$0.0195772\pi$
$331$	1.47759	+	8.37982i	0.0812156	+	0.460596i	−0.916894	+	0.399132i	$0.869312\pi$
$332$	−15.9239			−0.873939
$333$	−5.49130	−	14.5017i	−0.300921	−	0.794688i
$334$	22.0615			1.20715
$335$	−2.30498	−	13.0722i	−0.125935	−	0.714210i
$336$	0.272660	−	1.54633i	0.0148748	−	0.0843594i
$337$	6.93903	−	2.52560i	0.377993	−	0.137578i	−0.146035	−	0.989279i	$-0.546651\pi$
$337$	6.93903	−	2.52560i	0.377993	−	0.137578i	0.524028	+	0.851701i	$0.324429\pi$
$338$	−17.5592	−	14.7339i	−0.955095	−	0.801420i
$339$	−2.56503			−0.139314
$340$	−6.20249	−	5.20451i	−0.336377	−	0.282254i
$341$	−4.99416	−	8.65014i	−0.270449	−	0.468431i
$342$	10.3659	+	3.77287i	0.560522	+	0.204013i
$343$	−9.97501	+	17.2772i	−0.538600	+	0.932883i
$344$	2.28924	+	3.96507i	0.123427	+	0.213783i
$345$	0.677479	+	3.84217i	0.0364742	+	0.206856i
$346$	−14.7146	+	5.35567i	−0.791062	+	0.287923i
$347$	−12.5887	+	21.8043i	−0.675799	+	1.17052i	0.300436	+	0.953802i	$0.402868\pi$
$347$	−12.5887	+	21.8043i	−0.675799	+	1.17052i	−0.976235	+	0.216716i	$0.930465\pi$
$348$	−0.528905	+	0.443804i	−0.0283523	+	0.0237904i
$349$	−13.6403	+	11.4456i	−0.730150	+	0.612669i	−0.930173	−	0.367123i	$-0.880343\pi$
$349$	−13.6403	+	11.4456i	−0.730150	+	0.612669i	0.200022	+	0.979791i	$0.435898\pi$
$350$	−2.19774	−	0.799913i	−0.117474	−	0.0427572i
$351$	−3.87745	+	21.9901i	−0.206963	+	1.17375i
$352$	−0.557033	+	3.15909i	−0.0296899	+	0.168380i
$353$	−20.7078	−	7.53702i	−1.10216	−	0.401155i	−0.274051	−	0.961715i	$-0.588364\pi$
$353$	−20.7078	−	7.53702i	−1.10216	−	0.401155i	−0.828114	+	0.560560i	$0.810586\pi$
$354$	−0.563535	+	0.472862i	−0.0299515	+	0.0251323i
$355$	−10.4929	+	8.80457i	−0.556904	+	0.467298i
$356$	8.36334	−	14.4857i	0.443256	−	0.767742i
$357$	11.9468	−	4.34826i	0.632290	−	0.230135i
$358$	1.82403	+	10.3446i	0.0964030	+	0.546729i
$359$	−1.25574	−	2.17501i	−0.0662754	−	0.114792i	0.830984	−	0.556297i	$-0.187778\pi$
$359$	−1.25574	−	2.17501i	−0.0662754	−	0.114792i	−0.897259	+	0.441504i	$0.854445\pi$
$360$	−1.27463	+	2.20773i	−0.0671790	+	0.116357i
$361$	0.258876	+	0.0942231i	0.0136250	+	0.00495911i
$362$	2.43718	+	4.22133i	0.128096	+	0.221868i
$363$	0.365087	+	0.306345i	0.0191621	+	0.0160789i
$364$	14.0175			0.734717
$365$	−1.52864	−	1.28268i	−0.0800129	−	0.0671388i
$366$	2.84140	−	1.03418i	0.148522	−	0.0540577i
$367$	2.59541	−	14.7193i	0.135479	−	0.768342i	−0.839045	−	0.544062i	$-0.816886\pi$
$367$	2.59541	−	14.7193i	0.135479	−	0.768342i	0.974525	−	0.224280i	$-0.0720031\pi$
$368$	−1.00910	−	5.72290i	−0.0526030	−	0.298327i
$369$	−31.4259			−1.63597
$370$	−5.97621	+	1.13354i	−0.310688	+	0.0589297i
$371$	18.5828			0.964769
$372$	−0.363006	−	2.05871i	−0.0188210	−	0.106739i
$373$	3.87685	−	21.9867i	0.200736	−	1.13843i	−0.703275	−	0.710918i	$-0.748280\pi$
$373$	3.87685	−	21.9867i	0.200736	−	1.13843i	0.904010	−	0.427511i	$-0.140609\pi$
$374$	−24.4067	+	8.88330i	−1.26204	+	0.459345i
$375$	−0.514298	−	0.431547i	−0.0265582	−	0.0222850i
$376$	3.33415			0.171945
$377$	−4.72168	−	3.96196i	−0.243179	−	0.204051i
$378$	−4.35670	−	7.54602i	−0.224084	−	0.388125i
$379$	−5.39827	−	1.96481i	−0.277291	−	0.100925i	0.199632	−	0.979871i	$-0.436025\pi$
$379$	−5.39827	−	1.96481i	−0.277291	−	0.100925i	−0.476922	+	0.878946i	$0.658248\pi$
$380$	2.16359	−	3.74745i	0.110990	−	0.192240i
$381$	1.38720	+	2.40270i	0.0710683	+	0.123094i
$382$	−1.51040	−	8.56589i	−0.0772787	−	0.438269i
$383$	28.5273	−	10.3831i	1.45768	−	0.530551i	0.512953	−	0.858417i	$-0.328551\pi$
$383$	28.5273	−	10.3831i	1.45768	−	0.530551i	0.944725	+	0.327865i	$0.106329\pi$
$384$	−0.335684	+	0.581422i	−0.0171303	+	0.0296706i
$385$	−5.74719	+	4.82246i	−0.292904	+	0.245776i
$386$	−13.2182	+	11.0914i	−0.672789	+	0.564537i
$387$	10.9678	+	3.99197i	0.557527	+	0.202923i
$388$	−1.51117	+	8.57027i	−0.0767181	+	0.435090i
$389$	−3.09528	+	17.5542i	−0.156937	+	0.890033i	0.800057	+	0.599924i	$0.204803\pi$
$389$	−3.09528	+	17.5542i	−0.156937	+	0.890033i	−0.956994	+	0.290109i	$0.906309\pi$
$390$	3.78117	+	1.37623i	0.191467	+	0.0696883i
$391$	36.0438	−	30.2444i	1.82281	−	1.52952i
$392$	1.17210	−	0.983506i	0.0591998	−	0.0496745i
$393$	6.11259	−	10.5873i	0.308339	−	0.534059i
$394$	−5.05896	+	1.84131i	−0.254866	+	0.0927638i
$395$	−1.18306	−	6.70944i	−0.0595260	−	0.337589i
$396$	4.08879	+	7.08200i	0.205470	+	0.355884i
$397$	−11.9045	+	20.6192i	−0.597471	+	1.03485i	0.395722	+	0.918370i	$0.370494\pi$
$397$	−11.9045	+	20.6192i	−0.597471	+	1.03485i	−0.993193	+	0.116480i	$0.962839\pi$
$398$	−16.4298	−	5.97996i	−0.823552	−	0.299748i
$399$	3.39725	+	5.88420i	0.170075	+	0.294579i
$400$	0.766044	+	0.642788i	0.0383022	+	0.0321394i
$401$	14.0614			0.702190			0.351095	−	0.936340i	$-0.385809\pi$
$401$	14.0614			0.702190			0.351095	+	0.936340i	$0.385809\pi$
$402$	−6.82671	−	5.72829i	−0.340486	−	0.285701i
$403$	17.5367	−	6.38284i	0.873565	−	0.317952i
$404$	−0.0508594	+	0.288438i	−0.00253035	+	0.0143503i
$405$	0.893688	+	5.06836i	0.0444077	+	0.251849i
$406$	2.40521			0.119369
$407$	−6.43629	+	18.4203i	−0.319035	+	0.913062i
$408$	−5.43592			−0.269118
$409$	−3.92935	−	22.2845i	−0.194294	−	1.10190i	−0.913421	−	0.407017i	$-0.866569\pi$
$409$	−3.92935	−	22.2845i	−0.194294	−	1.10190i	0.719126	−	0.694879i	$-0.244542\pi$
$410$	−2.14064	+	12.1402i	−0.105719	+	0.599560i
$411$	7.67214	−	2.79243i	0.378439	−	0.137740i
$412$	−14.7046	−	12.3386i	−0.724444	−	0.607881i
$413$	2.56270			0.126102
$414$	−11.3484	−	9.52241i	−0.557742	−	0.468001i
$415$	7.96196	+	13.7905i	0.390837	+	0.676950i
$416$	−5.63204	−	2.04989i	−0.276133	−	0.100504i
$417$	−1.90427	+	3.29829i	−0.0932524	+	0.161518i
$418$	−6.94042	−	12.0212i	−0.339467	−	0.587974i
$419$	0.788664	+	4.47273i	0.0385287	+	0.218507i	0.997993	−	0.0633226i	$-0.0201697\pi$
$419$	0.788664	+	4.47273i	0.0385287	+	0.218507i	−0.959464	+	0.281830i	$0.909059\pi$
$420$	−1.47549	+	0.537036i	−0.0719968	+	0.0262047i
$421$	1.31246	−	2.27324i	0.0639652	−	0.110791i	−0.832269	−	0.554372i	$-0.812959\pi$
$421$	1.31246	−	2.27324i	0.0639652	−	0.110791i	0.896235	+	0.443581i	$0.146292\pi$
$422$	−0.268739	+	0.225499i	−0.0130820	+	0.0109771i
$423$	6.51109	−	5.46345i	0.316580	−	0.265642i
$424$	−7.46629	−	2.71751i	−0.362595	−	0.131974i
$425$	−1.40599	+	7.97377i	−0.0682006	+	0.386785i
$426$	−1.59688	+	9.05634i	−0.0773689	+	0.438781i
$427$	−9.89835	−	3.60270i	−0.479015	−	0.174347i
$428$	6.26700	−	5.25864i	0.302927	−	0.254186i
$429$	9.88792	−	8.29695i	0.477393	−	0.400580i
$430$	2.28924	−	3.96507i	0.110397	−	0.191213i
$431$	−22.3330	+	8.12855i	−1.07574	+	0.391538i	−0.818321	−	0.574761i	$-0.805095\pi$
$431$	−22.3330	+	8.12855i	−1.07574	+	0.391538i	−0.257421	+	0.966299i	$0.582873\pi$
$432$	0.646944	+	3.66900i	0.0311261	+	0.176525i
$433$	−1.44932	−	2.51029i	−0.0696497	−	0.120637i	0.829097	−	0.559104i	$-0.188855\pi$
$433$	−1.44932	−	2.51029i	−0.0696497	−	0.120637i	−0.898747	+	0.438467i	$0.855521\pi$
$434$	−3.64119	+	6.30673i	−0.174783	+	0.302733i
$435$	0.648797	+	0.236143i	0.0311075	+	0.0113222i
$436$	1.85465	+	3.21234i	0.0888215	+	0.153843i
$437$	19.2630	+	16.1636i	0.921474	+	0.773208i
$438$	−1.33972			−0.0640142
$439$	−1.32877	−	1.11497i	−0.0634186	−	0.0532145i	0.610527	−	0.791995i	$-0.290958\pi$
$439$	−1.32877	−	1.11497i	−0.0634186	−	0.0532145i	−0.673946	+	0.738781i	$0.735402\pi$
$440$	3.01437	−	1.09714i	0.143704	−	0.0523041i
$441$	0.677321	−	3.84128i	0.0322534	−	0.182918i
$442$	−8.42679	−	47.7907i	−0.400822	−	2.27317i
$443$	−7.37316			−0.350309			−0.175155	−	0.984541i	$-0.556043\pi$
$443$	−7.37316			−0.350309			−0.175155	+	0.984541i	$0.556043\pi$
$444$	−2.58438	+	3.16199i	−0.122649	+	0.150061i
$445$	−16.7267			−0.792921
$446$	−3.24893	−	18.4256i	−0.153841	−	0.872476i
$447$	−0.00356044	+	0.0201923i	−0.000168403	+	0.000955062i
$448$	2.19774	−	0.799913i	0.103834	−	0.0377923i
$449$	12.7164	+	10.6703i	0.600122	+	0.503562i	0.891485	−	0.453050i	$-0.149664\pi$
$449$	12.7164	+	10.6703i	0.600122	+	0.503562i	−0.291363	+	0.956613i	$0.594109\pi$
$450$	2.54926			0.120173
$451$	30.2926	+	25.4185i	1.42642	+	1.19691i
$452$	−1.91030	−	3.30874i	−0.0898531	−	0.155630i
$453$	−4.56244	−	1.66059i	−0.214362	−	0.0780214i
$454$	−9.35477	+	16.2029i	−0.439041	+	0.760442i
$455$	−7.00876	−	12.1395i	−0.328576	−	0.569109i
$456$	−0.504471	−	2.86100i	−0.0236240	−	0.133978i
$457$	4.64856	−	1.69194i	0.217451	−	0.0791455i	−0.230998	−	0.972954i	$-0.574199\pi$
$457$	4.64856	−	1.69194i	0.217451	−	0.0791455i	0.448448	+	0.893809i	$0.351977\pi$
$458$	0.968936	−	1.67825i	0.0452754	−	0.0784193i
$459$	−23.1080	+	19.3899i	−1.07859	+	0.905044i
$460$	−4.45162	+	3.73536i	−0.207558	+	0.174162i
$461$	17.2275	+	6.27029i	0.802363	+	0.292036i	0.710465	−	0.703732i	$-0.248484\pi$
$461$	17.2275	+	6.27029i	0.802363	+	0.292036i	0.0918978	+	0.995768i	$0.470707\pi$
$462$	−0.874646	+	4.96037i	−0.0406922	+	0.230777i
$463$	−2.51193	+	14.2459i	−0.116739	+	0.662061i	0.869135	+	0.494575i	$0.164676\pi$
$463$	−2.51193	+	14.2459i	−0.116739	+	0.662061i	−0.985874	+	0.167486i	$0.946435\pi$
$464$	−0.966381	−	0.351734i	−0.0448631	−	0.0163288i
$465$	−1.60139	+	1.34373i	−0.0742627	+	0.0623138i
$466$	13.7112	−	11.5051i	0.635160	−	0.532963i
$467$	3.83790	−	6.64744i	0.177597	−	0.307607i	−0.763460	−	0.645855i	$-0.776501\pi$
$467$	3.83790	−	6.64744i	0.177597	−	0.307607i	0.941057	+	0.338248i	$0.109834\pi$
$468$	−14.3576	+	5.22572i	−0.663678	+	0.241559i
$469$	5.39086	+	30.5731i	0.248927	+	1.41173i
$470$	−1.66707	−	2.88746i	−0.0768963	−	0.133188i
$471$	4.71136	−	8.16031i	0.217088	−	0.376007i
$472$	−1.02966	−	0.374764i	−0.0473937	−	0.0172499i
$473$	−7.34347	−	12.7193i	−0.337653	−	0.584832i
$474$	−3.50388	−	2.94011i	−0.160939	−	0.135044i
$475$	−4.32718			−0.198545
$476$	14.5063	+	12.1723i	0.664896	+	0.557914i
$477$	−19.0336	+	6.92765i	−0.871486	+	0.317195i
$478$	−1.88298	+	10.6789i	−0.0861256	+	0.488443i
$479$	−4.36648	−	24.7636i	−0.199510	−	1.13148i	−0.905848	−	0.423602i	$-0.860766\pi$
$479$	−4.36648	−	24.7636i	−0.199510	−	1.13148i	0.706339	−	0.707874i	$-0.250346\pi$
$480$	0.671368			0.0306436
$481$	−31.8054	−	17.8192i	−1.45020	−	0.812487i
$482$	17.8935			0.815027
$483$	−1.58448	−	8.98603i	−0.0720963	−	0.408879i
$484$	−0.123269	+	0.699091i	−0.00560312	+	0.0317769i
$485$	8.17766	−	2.97642i	0.371328	−	0.135152i
$486$	11.2088	+	9.40529i	0.508441	+	0.426632i
$487$	24.5316			1.11163			0.555817	−	0.831305i	$-0.312406\pi$
$487$	24.5316			1.11163			0.555817	+	0.831305i	$0.312406\pi$
$488$	3.45016	+	2.89503i	0.156182	+	0.131052i
$489$	1.96087	+	3.39633i	0.0886736	+	0.153587i
$490$	−1.43779	−	0.523313i	−0.0649527	−	0.0236409i
$491$	4.77850	−	8.27660i	0.215650	−	0.373518i	−0.737823	−	0.674994i	$-0.764146\pi$
$491$	4.77850	−	8.27660i	0.215650	−	0.373518i	0.953474	+	0.301477i	$0.0974795\pi$
$492$	4.13813	+	7.16744i	0.186561	+	0.323133i
$493$	−1.44592	−	8.20024i	−0.0651211	−	0.369320i
$494$	24.3709	−	8.87027i	1.09650	−	0.399092i
$495$	4.08879	−	7.08200i	0.183778	−	0.318312i
$496$	2.38526	−	2.00147i	0.107101	−	0.0898688i
$497$	24.5406	−	20.5920i	1.10080	−	0.923679i
$498$	10.0461	+	3.65647i	0.450176	+	0.163851i
$499$	2.49129	−	14.1288i	0.111525	−	0.632492i	−0.876887	−	0.480697i	$-0.840384\pi$
$499$	2.49129	−	14.1288i	0.111525	−	0.632492i	0.988412	−	0.151795i	$-0.0485053\pi$
$500$	0.173648	−	0.984808i	0.00776578	−	0.0440419i
$501$	−13.9181	−	5.06579i	−0.621817	−	0.226323i
$502$	14.7003	−	12.3350i	0.656104	−	0.550537i
$503$	8.68449	−	7.28715i	0.387222	−	0.324918i	−0.428308	−	0.903633i	$-0.640890\pi$
$503$	8.68449	−	7.28715i	0.387222	−	0.324918i	0.815530	+	0.578715i	$0.196446\pi$
$504$	2.98110	−	5.16341i	0.132789	−	0.229997i
$505$	0.275224	−	0.100173i	0.0122473	−	0.00445766i
$506$	3.23702	+	18.3580i	0.143903	+	0.816114i
$507$	7.69452	+	13.3273i	0.341726	+	0.591886i
$508$	−2.06623	+	3.57881i	−0.0916740	+	0.158784i
$509$	37.1016	+	13.5039i	1.64450	+	0.598548i	0.987817	−	0.155620i	$-0.0497374\pi$
$509$	37.1016	+	13.5039i	1.64450	+	0.598548i	0.656681	+	0.754168i	$0.271960\pi$
$510$	2.71796	+	4.70765i	0.120353	+	0.208458i
$511$	3.57518	+	2.99993i	0.158157	+	0.132709i
$512$	−1.00000			−0.0441942
$513$	−12.3497	−	10.3626i	−0.545251	−	0.457520i
$514$	14.3233	−	5.21326i	0.631775	−	0.229947i
$515$	−3.33327	+	18.9039i	−0.146881	+	0.833005i
$516$	−0.533767	−	3.02714i	−0.0234978	−	0.133263i
$517$	−10.6953			−0.470381
$518$	13.9771	−	2.65110i	0.614119	−	0.116483i
$519$	10.5129			0.461466
$520$	1.04076	+	5.90243i	0.0456403	+	0.258839i
$521$	7.58616	−	43.0233i	0.332356	−	1.88488i	−0.119566	−	0.992826i	$-0.538150\pi$
$521$	7.58616	−	43.0233i	0.332356	−	1.88488i	0.451922	−	0.892058i	$-0.350739\pi$
$522$	−2.46356	+	0.896663i	−0.107827	+	0.0392459i
$523$	−5.47435	−	4.59353i	−0.239377	−	0.200861i	0.515205	−	0.857067i	$-0.327716\pi$
$523$	−5.47435	−	4.59353i	−0.239377	−	0.200861i	−0.754582	+	0.656206i	$0.772160\pi$
$524$	18.2094			0.795479
$525$	1.20283	+	1.00930i	0.0524960	+	0.0440494i
$526$	5.35106	+	9.26830i	0.233317	+	0.404117i
$527$	23.6908	+	8.62276i	1.03199	+	0.375613i
$528$	1.07681	−	1.86510i	0.0468624	−	0.0811680i
$529$	−5.38492	−	9.32696i	−0.234127	−	0.405520i
$530$	1.37971	+	7.82475i	0.0599310	+	0.339885i
$531$	−2.62486	+	0.955373i	−0.113909	+	0.0414596i
$532$	−5.06018	+	8.76450i	−0.219387	+	0.379989i
$533$	−56.5987	+	47.4920i	−2.45156	+	2.05711i
$534$	−8.60250	+	7.21835i	−0.372266	+	0.312369i
$535$	−7.68761	−	2.79806i	−0.332364	−	0.120971i
$536$	2.30498	−	13.0722i	0.0995600	−	0.564633i
$537$	1.22460	−	6.94503i	0.0528452	−	0.299700i
$538$	−3.86961	−	1.40842i	−0.166831	−	0.0607215i
$539$	−3.75988	+	3.15491i	−0.161949	+	0.135892i
$540$	2.85398	−	2.39477i	0.122816	−	0.103054i
$541$	−12.4673	+	21.5940i	−0.536012	+	0.928400i	0.463102	+	0.886305i	$0.346736\pi$
$541$	−12.4673	+	21.5940i	−0.536012	+	0.928400i	−0.999114	+	0.0420945i	$0.986597\pi$
$542$	−7.04401	+	2.56381i	−0.302566	+	0.110125i
$543$	−0.568263	−	3.22278i	−0.0243865	−	0.138303i
$544$	−4.04839	−	7.01202i	−0.173573	−	0.300638i
$545$	1.85465	−	3.21234i	0.0794443	−	0.137602i
$546$	−8.84336	−	3.21872i	−0.378461	−	0.137749i
$547$	−3.21868	−	5.57492i	−0.137621	−	0.238367i	0.788975	−	0.614426i	$-0.210612\pi$
$547$	−3.21868	−	5.57492i	−0.137621	−	0.238367i	−0.926596	+	0.376059i	$0.877279\pi$
$548$	9.31588	+	7.81695i	0.397955	+	0.333924i
$549$	11.4816			0.490021
$550$	−2.45733	−	2.06195i	−0.104781	−	0.0879218i
$551$	4.18171	−	1.52202i	0.178147	−	0.0648401i
$552$	−0.677479	+	3.84217i	−0.0288354	+	0.163534i
$553$	2.76692	+	15.6920i	0.117661	+	0.667291i
$554$	4.15494			0.176527
$555$	4.03055	+	0.657142i	0.171088	+	0.0278941i
$556$	−5.67280			−0.240580
$557$	−3.30950	−	18.7691i	−0.140228	−	0.795272i	−0.971076	−	0.238772i	$-0.923255\pi$
$557$	−3.30950	−	18.7691i	−0.140228	−	0.795272i	0.830848	−	0.556500i	$-0.187856\pi$
$558$	1.37838	−	7.81715i	0.0583513	−	0.330927i
$559$	25.7861	−	9.38539i	1.09064	−	0.396960i
$560$	−1.79162	−	1.50334i	−0.0757096	−	0.0635279i
$561$	17.4375			0.736211
$562$	10.2285	+	8.58276i	0.431465	+	0.362042i
$563$	−0.639525	−	1.10769i	−0.0269528	−	0.0466836i	0.852234	−	0.523160i	$-0.175247\pi$
$563$	−0.639525	−	1.10769i	−0.0269528	−	0.0466836i	−0.879187	+	0.476477i	$0.841914\pi$
$564$	−2.10345	−	0.765591i	−0.0885710	−	0.0322372i
$565$	−1.91030	+	3.30874i	−0.0803671	+	0.139200i
$566$	15.5374	+	26.9115i	0.653084	+	1.13118i
$567$	−2.09015	−	11.8538i	−0.0877780	−	0.497814i
$568$	−12.8714	+	4.68481i	−0.540073	+	0.196570i
$569$	−2.71918	+	4.70975i	−0.113994	+	0.197443i	−0.917377	−	0.398019i	$-0.869698\pi$
$569$	−2.71918	+	4.70975i	−0.113994	+	0.197443i	0.803383	+	0.595462i	$0.203031\pi$
$570$	−2.22546	+	1.86738i	−0.0932143	+	0.0782161i
$571$	−27.3193	+	22.9236i	−1.14328	+	0.959322i	−0.999541	−	0.0302946i	$-0.990355\pi$
$571$	−27.3193	+	22.9236i	−1.14328	+	0.959322i	−0.143734	+	0.989616i	$0.545911\pi$
$572$	18.0666	+	6.57570i	0.755402	+	0.274944i
$573$	−1.01403	+	5.75087i	−0.0423618	+	0.240246i
$574$	5.00650	−	28.3933i	0.208967	−	1.18511i
$575$	5.46073	+	1.98754i	0.227728	+	0.0828862i
$576$	−1.95285	+	1.63864i	−0.0813688	+	0.0682765i
$577$	19.2699	−	16.1694i	0.802216	−	0.673139i	−0.146520	−	0.989208i	$-0.546807\pi$
$577$	19.2699	−	16.1694i	0.802216	−	0.673139i	0.948736	+	0.316068i	$0.102363\pi$
$578$	24.2789	−	42.0523i	1.00987	−	1.74915i
$579$	10.8859	−	3.96215i	0.452403	−	0.164661i
$580$	0.178580	+	1.01278i	0.00741513	+	0.0420533i
$581$	−18.6214	−	32.2531i	−0.772544	−	1.33809i
$582$	2.92129	−	5.05981i	0.121091	−	0.209736i
$583$	23.9505	+	8.71728i	0.991930	+	0.361033i
$584$	−0.997752	−	1.72816i	−0.0412873	−	0.0715116i
$585$	11.7044	+	9.82115i	0.483917	+	0.406054i
$586$	7.64704			0.315896
$587$	20.4813	+	17.1859i	0.845355	+	0.709337i	0.958762	−	0.284212i	$-0.0917319\pi$
$587$	20.4813	+	17.1859i	0.845355	+	0.709337i	−0.113407	+	0.993549i	$0.536176\pi$
$588$	−0.965286	+	0.351335i	−0.0398077	+	0.0144888i
$589$	−2.33969	+	13.2690i	−0.0964051	+	0.546741i
$590$	0.190273	+	1.07909i	0.00783340	+	0.0444254i
$591$	3.61440			0.148676
$592$	−6.00349	−	0.978810i	−0.246742	−	0.0402288i
$593$	−10.5391			−0.432788			−0.216394	−	0.976306i	$-0.569430\pi$
$593$	−10.5391			−0.432788			−0.216394	+	0.976306i	$0.569430\pi$
$594$	−2.07528	−	11.7695i	−0.0851498	−	0.482908i
$595$	3.28832	−	18.6490i	0.134808	−	0.764533i
$596$	−0.0286985	+	0.0104454i	−0.00117554	+	0.000427860i
$597$	8.99210	+	7.54527i	0.368022	+	0.308807i
$598$	−34.8293			−1.42427
$599$	7.14224	+	5.99305i	0.291824	+	0.244869i	0.776931	−	0.629585i	$-0.216775\pi$
$599$	7.14224	+	5.99305i	0.291824	+	0.244869i	−0.485108	+	0.874454i	$0.661220\pi$
$600$	−0.335684	−	0.581422i	−0.0137042	−	0.0237365i
$601$	−6.39191	−	2.32646i	−0.260731	−	0.0948984i	0.208347	−	0.978055i	$-0.433192\pi$
$601$	−6.39191	−	2.32646i	−0.260731	−	0.0948984i	−0.469078	+	0.883157i	$0.655414\pi$
$602$	−5.35404	+	9.27348i	−0.218215	+	0.377959i
$603$	−16.9193	−	29.3051i	−0.689006	−	1.19339i
$604$	−1.25580	−	7.12200i	−0.0510978	−	0.289790i
$605$	0.667065	−	0.242792i	0.0271200	−	0.00987089i
$606$	0.0983177	−	0.170291i	0.00399388	−	0.00691761i
$607$	−5.89078	+	4.94295i	−0.239099	+	0.200628i	−0.754461	−	0.656344i	$-0.772102\pi$
$607$	−5.89078	+	4.94295i	−0.239099	+	0.200628i	0.515362	+	0.856972i	$0.327657\pi$
$608$	3.31481	−	2.78146i	0.134433	−	0.112803i
$609$	−1.51740	−	0.552289i	−0.0614882	−	0.0223799i
$610$	0.782089	−	4.43544i	0.0316658	−	0.179586i
$611$	3.47004	−	19.6796i	0.140383	−	0.796151i
$612$	−19.3960	−	7.05958i	−0.784039	−	0.285367i
$613$	17.0085	−	14.2718i	0.686967	−	0.576434i	−0.231066	−	0.972938i	$-0.574221\pi$
$613$	17.0085	−	14.2718i	0.686967	−	0.576434i	0.918033	+	0.396504i	$0.129777\pi$
$614$	−17.0653	+	14.3195i	−0.688698	+	0.577886i
$615$	4.13813	−	7.16744i	0.166865	−	0.289019i
$616$	−7.04997	+	2.56598i	−0.284051	+	0.103386i
$617$	0.172326	+	0.977309i	0.00693758	+	0.0393450i	0.988080	−	0.153941i	$-0.0491966\pi$
$617$	0.172326	+	0.977309i	0.00693758	+	0.0393450i	−0.981142	+	0.193286i	$0.938085\pi$
$618$	6.44363	+	11.1607i	0.259201	+	0.448949i
$619$	−7.31371	+	12.6677i	−0.293963	+	0.509159i	−0.974743	−	0.223329i	$-0.928308\pi$
$619$	−7.31371	+	12.6677i	−0.293963	+	0.509159i	0.680780	+	0.732488i	$0.261641\pi$
$620$	−2.92596	−	1.06496i	−0.117509	−	0.0427699i
$621$	10.8251	+	18.7496i	0.434395	+	0.752394i
$622$	−8.63695	−	7.24727i	−0.346310	−	0.290589i
$623$	39.1202			1.56732
$624$	3.08244	+	2.58647i	0.123396	+	0.103542i
$625$	−0.939693	+	0.342020i	−0.0375877	+	0.0136808i
$626$	−0.760285	+	4.31179i	−0.0303871	+	0.172334i
$627$	1.61825	+	9.17757i	0.0646268	+	0.366517i
$628$	14.0351			0.560061
$629$	−17.4411	−	46.0592i	−0.695420	−	1.83650i
$630$	−5.96219			−0.237539
$631$	2.04374	+	11.5906i	0.0813599	+	0.461415i	0.998083	+	0.0618916i	$0.0197133\pi$
$631$	2.04374	+	11.5906i	0.0813599	+	0.461415i	−0.916723	+	0.399524i	$0.869176\pi$
$632$	1.18306	−	6.70944i	0.0470594	−	0.266887i
$633$	0.221322	−	0.0805545i	0.00879674	−	0.00320175i
$634$	5.51253	+	4.62556i	0.218931	+	0.183705i
$635$	4.13245			0.163991
$636$	4.08633	+	3.42884i	0.162034	+	0.135962i
$637$	−4.58521	−	7.94182i	−0.181673	−	0.314666i
$638$	3.09998	+	1.12830i	0.122729	+	0.0446698i
$639$	−17.4592	+	30.2403i	−0.690677	+	1.19629i
$640$	0.500000	+	0.866025i	0.0197642	+	0.0342327i
$641$	−0.452548	−	2.56652i	−0.0178746	−	0.101372i	0.974565	−	0.224104i	$-0.0719455\pi$
$641$	−0.452548	−	2.56652i	−0.0178746	−	0.101372i	−0.992440	+	0.122732i	$0.960834\pi$
$642$	−5.16122	+	1.87853i	−0.203697	+	0.0741397i
$643$	8.36692	−	14.4919i	0.329959	−	0.571506i	−0.652544	−	0.757751i	$-0.726298\pi$
$643$	8.36692	−	14.4919i	0.329959	−	0.571506i	0.982503	+	0.186245i	$0.0596317\pi$
$644$	10.4114	−	8.73621i	0.410267	−	0.344255i
$645$	−2.35470	+	1.97583i	−0.0927162	+	0.0777981i
$646$	32.9233	+	11.9831i	1.29535	+	0.471469i
$647$	3.98814	−	22.6178i	0.156790	−	0.889199i	−0.800341	−	0.599545i	$-0.795348\pi$
$647$	3.98814	−	22.6178i	0.156790	−	0.889199i	0.957131	−	0.289655i	$-0.0935405\pi$
$648$	−0.893688	+	5.06836i	−0.0351074	+	0.199104i
$649$	3.30295	+	1.20218i	0.129652	+	0.0471895i
$650$	4.59128	−	3.85254i	0.180085	−	0.151109i
$651$	3.74531	−	3.14269i	0.146790	−	0.123172i
$652$	−2.92071	+	5.05881i	−0.114384	+	0.198118i
$653$	12.5316	−	4.56115i	0.490401	−	0.178491i	−0.0849705	−	0.996383i	$-0.527080\pi$
$653$	12.5316	−	4.56115i	0.490401	−	0.178491i	0.575372	+	0.817892i	$0.304857\pi$
$654$	−0.432436	−	2.45247i	−0.0169096	−	0.0958991i
$655$	−9.10468	−	15.7698i	−0.355749	−	0.616176i
$656$	−6.16372	+	10.6759i	−0.240653	+	0.416823i
$657$	−4.78028	−	1.73988i	−0.186496	−	0.0678791i
$658$	3.89893	+	6.75315i	0.151996	+	0.263265i
$659$	−16.4254	−	13.7825i	−0.639841	−	0.536890i	0.264129	−	0.964487i	$-0.414916\pi$
$659$	−16.4254	−	13.7825i	−0.639841	−	0.536890i	−0.903969	+	0.427597i	$0.859360\pi$
$660$	−2.15363			−0.0838299
$661$	−12.8197	−	10.7570i	−0.498628	−	0.418399i	0.358478	−	0.933538i	$-0.383296\pi$
$661$	−12.8197	−	10.7570i	−0.498628	−	0.418399i	−0.857106	+	0.515139i	$0.827740\pi$
$662$	7.99593	−	2.91028i	0.310771	−	0.113111i
$663$	−5.65748	+	32.0852i	−0.219718	+	1.24608i
$664$	2.76516	+	15.6820i	0.107309	+	0.608580i
$665$	10.1204			0.392451
$666$	−13.3278	+	7.92607i	−0.516443	+	0.307129i
$667$	−5.97623			−0.231400
$668$	−3.83094	−	21.7263i	−0.148223	−	0.840616i
$669$	−2.18123	+	12.3703i	−0.0843311	+	0.478265i
$670$	−12.4733	+	4.53992i	−0.481887	+	0.175393i
$671$	−11.0675	−	9.28674i	−0.427257	−	0.358511i
$672$	−1.57019			−0.0605714
$673$	9.04301	+	7.58799i	0.348582	+	0.292495i	0.800221	−	0.599706i	$-0.204716\pi$
$673$	9.04301	+	7.58799i	0.348582	+	0.292495i	−0.451638	+	0.892201i	$0.649160\pi$
$674$	−3.69218	−	6.39504i	−0.142217	−	0.246328i
$675$	−3.50092	−	1.27423i	−0.134750	−	0.0490451i
$676$	−11.4610	+	19.8510i	−0.440806	+	0.763499i
$677$	−21.3832	−	37.0368i	−0.821823	−	1.42344i	−0.904323	−	0.426848i	$-0.859624\pi$
$677$	−21.3832	−	37.0368i	−0.821823	−	1.42344i	0.0825005	−	0.996591i	$-0.473709\pi$
$678$	0.445413	+	2.52607i	0.0171060	+	0.0970130i
$679$	−19.1258	+	6.96123i	−0.733982	+	0.267148i
$680$	−4.04839	+	7.01202i	−0.155249	+	0.268899i
$681$	9.62228	−	8.07405i	0.368726	−	0.309398i
$682$	−7.65150	+	6.42037i	−0.292991	+	0.245849i
$683$	−19.0421	−	6.93074i	−0.728624	−	0.265197i	−0.0490417	−	0.998797i	$-0.515617\pi$
$683$	−19.0421	−	6.93074i	−0.728624	−	0.265197i	−0.679582	+	0.733599i	$0.737839\pi$
$684$	1.91554	−	10.8635i	0.0732424	−	0.415378i
$685$	2.11174	−	11.9763i	0.0806854	−	0.457590i
$686$	18.7469	+	6.82331i	0.715760	+	0.260515i
$687$	−0.996644	+	0.836283i	−0.0380243	+	0.0319062i
$688$	3.50731	−	2.94299i	0.133715	−	0.112200i
$689$	−23.8105	+	41.2410i	−0.907108	+	1.57116i
$690$	3.66616	−	1.33437i	0.139568	−	0.0507987i
$691$	0.340537	+	1.93128i	0.0129546	+	0.0734694i	0.990600	−	0.136793i	$-0.0436794\pi$
$691$	0.340537	+	1.93128i	0.0129546	+	0.0734694i	−0.977645	+	0.210262i	$0.932568\pi$
$692$	7.82947	+	13.5610i	0.297632	+	0.515514i
$693$	−9.56283	+	16.5633i	−0.363262	+	0.629188i
$694$	23.6591	+	8.61120i	0.898087	+	0.326877i
$695$	2.83640	+	4.91279i	0.107591	+	0.186353i
$696$	0.528905	+	0.443804i	0.0200481	+	0.0168223i
$697$	−99.8126			−3.78067
$698$	13.6403	+	11.4456i	0.516294	+	0.433222i
$699$	−11.2919	+	4.10993i	−0.427101	+	0.155452i
$700$	−0.406127	+	2.30326i	−0.0153501	+	0.0870550i
$701$	−4.34826	−	24.6602i	−0.164232	−	0.931404i	−0.949853	−	0.312697i	$-0.898768\pi$
$701$	−4.34826	−	24.6602i	−0.164232	−	0.931404i	0.785621	−	0.618708i	$-0.212343\pi$
$702$	22.3293			0.842767
$703$	22.6230	−	13.4539i	0.853242	−	0.507423i
$704$	3.20782			0.120899
$705$	0.388701	+	2.20443i	0.0146393	+	0.0830237i
$706$	−3.82664	+	21.7020i	−0.144018	+	0.816765i
$707$	−0.643692	+	0.234285i	−0.0242085	+	0.00881118i
$708$	0.563535	+	0.472862i	0.0211789	+	0.0177712i
$709$	−5.14651			−0.193281			−0.0966407	−	0.995319i	$-0.530810\pi$
$709$	−5.14651			−0.193281			−0.0966407	+	0.995319i	$0.530810\pi$
$710$	10.4929	+	8.80457i	0.393791	+	0.330430i
$711$	−8.68400	−	15.0411i	−0.325676	−	0.564087i
$712$	−15.7179	−	5.72086i	−0.589055	−	0.214398i
$713$	9.04726	−	15.6703i	0.338822	−	0.586858i
$714$	−6.35674	−	11.0102i	−0.237895	−	0.412046i
$715$	−3.33857	−	18.9340i	−0.124855	−	0.708090i
$716$	9.87070	−	3.59264i	0.368885	−	0.134263i
$717$	3.64005	−	6.30474i	0.135940	−	0.235455i
$718$	−1.92391	+	1.61435i	−0.0717995	+	0.0602470i
$719$	7.92456	−	6.64950i	0.295536	−	0.247984i	−0.482947	−	0.875649i	$-0.660434\pi$
$719$	7.92456	−	6.64950i	0.295536	−	0.247984i	0.778484	+	0.627665i	$0.215989\pi$
$720$	2.39553	+	0.871900i	0.0892760	+	0.0324938i
$721$	7.79581	−	44.2122i	0.290331	−	1.64655i
$722$	0.0478383	−	0.271305i	0.00178036	−	0.0100969i
$723$	−11.2887	−	4.10873i	−0.419830	−	0.152805i
$724$	3.73398	−	3.13318i	0.138772	−	0.116444i
$725$	0.787801	−	0.661044i	0.0292582	−	0.0245505i
$726$	0.238294	−	0.412737i	0.00884392	−	0.0153181i
$727$	−0.263055	+	0.0957442i	−0.00975617	+	0.00355096i	−0.346894	−	0.937904i	$-0.612764\pi$
$727$	−0.263055	+	0.0957442i	−0.00975617	+	0.00355096i	0.337137	+	0.941455i	$0.390541\pi$
$728$	−2.43412	−	13.8046i	−0.0902143	−	0.511631i
$729$	2.80808	+	4.86374i	0.104003	+	0.180138i
$730$	−0.997752	+	1.72816i	−0.0369284	+	0.0639619i
$731$	34.8353	+	12.6790i	1.28843	+	0.468950i
$732$	−1.51188	−	2.61865i	−0.0558806	−	0.0967880i
$733$	−23.6543	−	19.8484i	−0.873693	−	0.733116i	0.0911793	−	0.995834i	$-0.470936\pi$
$733$	−23.6543	−	19.8484i	−0.873693	−	0.733116i	−0.964872	+	0.262719i	$0.915381\pi$
$734$	−14.9464			−0.551681
$735$	0.786908	+	0.660295i	0.0290256	+	0.0243553i
$736$	−5.46073	+	1.98754i	−0.201285	+	0.0732618i
$737$	−7.39397	+	41.9333i	−0.272360	+	1.54463i
$738$	5.45705	+	30.9485i	0.200877	+	1.13923i
$739$	−15.7386			−0.578953			−0.289476	−	0.957185i	$-0.593481\pi$
$739$	−15.7386			−0.578953			−0.289476	+	0.957185i	$0.593481\pi$
$740$	2.15407	+	5.68858i	0.0791853	+	0.209116i
$741$	−17.4119			−0.639642
$742$	−3.22686	−	18.3004i	−0.118462	−	0.671831i
$743$	−4.00777	+	22.7292i	−0.147031	+	0.833854i	0.818683	+	0.574246i	$0.194705\pi$
$743$	−4.00777	+	22.7292i	−0.147031	+	0.833854i	−0.965714	+	0.259608i	$0.916407\pi$
$744$	−1.96440	+	0.714981i	−0.0720182	+	0.0262125i
$745$	0.0233952	+	0.0196309i	0.000857135	+	0.000719221i
$746$	−22.3259			−0.817409
$747$	31.0970	+	26.0935i	1.13778	+	0.954712i
$748$	12.9865	+	22.4933i	0.474834	+	0.822437i
$749$	17.9797	+	6.54408i	0.656964	+	0.239115i
$750$	−0.335684	+	0.581422i	−0.0122575	+	0.0212305i
$751$	14.7898	+	25.6168i	0.539689	+	0.934769i	0.998921	+	0.0464522i	$0.0147915\pi$
$751$	14.7898	+	25.6168i	0.539689	+	0.934769i	−0.459231	+	0.888317i	$0.651875\pi$
$752$	−0.578968	−	3.28349i	−0.0211128	−	0.119737i
$753$	−12.1065	+	4.40639i	−0.441184	+	0.160578i
$754$	−3.08186	+	5.33793i	−0.112235	+	0.194396i
$755$	−5.53993	+	4.64855i	−0.201619	+	0.169178i
$756$	−6.67485	+	5.60086i	−0.242762	+	0.203701i
$757$	−3.58699	−	1.30556i	−0.130371	−	0.0474513i	0.276011	−	0.961155i	$-0.410988\pi$
$757$	−3.58699	−	1.30556i	−0.130371	−	0.0474513i	−0.406382	+	0.913703i	$0.633210\pi$
$758$	−0.997560	+	5.65744i	−0.0362330	+	0.205488i
$759$	2.17323	−	12.3250i	0.0788833	−	0.447369i
$760$	−4.06622	−	1.47998i	−0.147497	−	0.0536846i
$761$	−36.7313	+	30.8212i	−1.33151	+	1.11727i	−0.347785	+	0.937574i	$0.613066\pi$
$761$	−36.7313	+	30.8212i	−1.33151	+	1.11727i	−0.983723	+	0.179693i	$0.942490\pi$
$762$	2.12531	−	1.78335i	0.0769919	−	0.0646039i
$763$	−4.33763	+	7.51299i	−0.157033	+	0.271989i
$764$	−8.17348	+	2.97490i	−0.295706	+	0.107628i
$765$	3.58424	+	20.3273i	0.129589	+	0.734934i
$766$	−15.1791	−	26.2909i	−0.548442	−	0.949929i
$767$	−3.28364	+	5.68744i	−0.118565	+	0.205361i
$768$	0.630880	+	0.229621i	0.0227649	+	0.00828575i
$769$	5.97325	+	10.3460i	0.215401	+	0.373085i	0.953397	−	0.301720i	$-0.0975608\pi$
$769$	5.97325	+	10.3460i	0.215401	+	0.373085i	−0.737996	+	0.674806i	$0.764227\pi$
$770$	5.74719	+	4.82246i	0.207114	+	0.173790i
$771$	−10.2334			−0.368546
$772$	13.2182	+	11.0914i	0.475734	+	0.399188i
$773$	−16.5663	+	6.02966i	−0.595850	+	0.216872i	−0.622300	−	0.782778i	$-0.713802\pi$
$773$	−16.5663	+	6.02966i	−0.595850	+	0.216872i	0.0264505	+	0.999650i	$0.491580\pi$
$774$	2.02678	−	11.4944i	0.0728510	−	0.413158i
$775$	0.540695	+	3.06643i	0.0194223	+	0.110150i
$776$	8.70248			0.312401
$777$	−9.42662	−	1.53692i	−0.338178	−	0.0551366i
$778$	17.8250			0.639057
$779$	−9.26293	−	52.5327i	−0.331879	−	1.88218i
$780$	0.698732	−	3.96271i	0.0250186	−	0.141888i
$781$	41.2892	−	15.0280i	1.47744	−	0.537746i
$782$	−36.0438	−	30.2444i	−1.28892	−	1.08154i
$783$	3.83141			0.136923
$784$	−1.17210	−	0.983506i	−0.0418606	−	0.0351252i
$785$	−7.01754	−	12.1547i	−0.250467	−	0.433821i
$786$	−11.4879	−	4.18126i	−0.409760	−	0.149141i
$787$	−13.0324	+	22.5728i	−0.464555	+	0.804634i	−0.999181	−	0.0404552i	$-0.987119\pi$
$787$	−13.0324	+	22.5728i	−0.464555	+	0.804634i	0.534626	+	0.845089i	$0.320453\pi$
$788$	2.69181	+	4.66236i	0.0958919	+	0.166090i
$789$	−1.24767	−	7.07590i	−0.0444183	−	0.251909i
$790$	−6.40208	+	2.33017i	−0.227776	+	0.0829036i
$791$	4.46780	−	7.73845i	0.158857	−	0.275148i
$792$	6.26440	−	5.25645i	0.222596	−	0.186780i
$793$	20.6785	−	17.3513i	0.734316	−	0.616164i
$794$	22.3732	+	8.14317i	0.793995	+	0.288990i
$795$	0.926297	−	5.25329i	0.0328524	−	0.186315i
$796$	−3.03611	+	17.2186i	−0.107612	+	0.610297i
$797$	11.0984	+	4.03947i	0.393124	+	0.143086i	0.531016	−	0.847362i	$-0.321810\pi$
$797$	11.0984	+	4.03947i	0.393124	+	0.143086i	−0.137892	+	0.990447i	$0.544033\pi$
$798$	5.20488	−	4.36742i	0.184251	−	0.154605i
$799$	20.6800	−	17.3526i	0.731606	−	0.613891i
$800$	0.500000	−	0.866025i	0.0176777	−	0.0306186i
$801$	−40.0692	+	14.5840i	−1.41578	+	0.515300i
$802$	−2.44173	−	13.8477i	−0.0862204	−	0.488980i
$803$	3.20061	+	5.54362i	0.112947	+	0.195630i
$804$	−4.45582	+	7.71771i	−0.157145	+	0.272183i
$805$	−12.7715	−	4.64844i	−0.450136	−	0.163836i
$806$	−9.33108	−	16.1619i	−0.328673	−	0.569279i
$807$	2.11786	+	1.77709i	0.0745521	+	0.0625566i
$808$	0.292888			0.0103037
$809$	31.5660	+	26.4870i	1.10980	+	0.931235i	0.998045	−	0.0625005i	$-0.0199075\pi$
$809$	31.5660	+	26.4870i	1.10980	+	0.931235i	0.111758	+	0.993735i	$0.464352\pi$
$810$	4.83617	−	1.76022i	0.169926	−	0.0618479i
$811$	−4.68504	+	26.5702i	−0.164514	+	0.933005i	0.785050	+	0.619432i	$0.212637\pi$
$811$	−4.68504	+	26.5702i	−0.164514	+	0.933005i	−0.949564	+	0.313573i	$0.898474\pi$
$812$	−0.417661	−	2.36867i	−0.0146570	−	0.0831241i
$813$	5.03263			0.176502
$814$	19.2581	+	3.13985i	0.674997	+	0.110052i
$815$	5.84142			0.204616
$816$	0.943938	+	5.35334i	0.0330444	+	0.187404i
$817$	−3.44030	+	19.5109i	−0.120361	+	0.682600i
$818$	−21.2636	+	7.73932i	−0.743464	+	0.270599i
$819$	−27.3741	−	22.9696i	−0.956528	−	0.802623i
$820$	12.3274			0.430493
$821$	3.67529	+	3.08393i	0.128268	+	0.107630i	0.704665	−	0.709540i	$-0.251097\pi$
$821$	3.67529	+	3.08393i	0.128268	+	0.107630i	−0.576397	+	0.817170i	$0.695542\pi$
$822$	−4.08226	−	7.07068i	−0.142385	−	0.246618i
$823$	27.9332	+	10.1669i	0.973690	+	0.354394i	0.779384	−	0.626547i	$-0.215532\pi$
$823$	27.9332	+	10.1669i	0.973690	+	0.354394i	0.194306	+	0.980941i	$0.437754\pi$
$824$	−9.59776	+	16.6238i	−0.334354	+	0.579118i
$825$	1.07681	+	1.86510i	0.0374899	+	0.0649344i
$826$	−0.445008	−	2.52376i	−0.0154838	−	0.0878130i
$827$	7.03946	−	2.56215i	0.244786	−	0.0890948i	−0.216714	−	0.976235i	$-0.569534\pi$
$827$	7.03946	−	2.56215i	0.244786	−	0.0890948i	0.461500	+	0.887140i	$0.347312\pi$
$828$	−7.40712	+	12.8295i	−0.257415	+	0.445856i
$829$	26.0196	−	21.8331i	0.903699	−	0.758294i	−0.0672107	−	0.997739i	$-0.521410\pi$
$829$	26.0196	−	21.8331i	0.903699	−	0.758294i	0.970910	+	0.239445i	$0.0769655\pi$
$830$	12.1984	−	10.2357i	0.423414	−	0.355286i
$831$	−2.62127	−	0.954064i	−0.0909309	−	0.0330961i
$832$	−1.04076	+	5.90243i	−0.0360818	+	0.204630i
$833$	2.15126	−	12.2004i	0.0745366	−	0.422718i
$834$	3.57885	+	1.30260i	0.123926	+	0.0451052i
$835$	−16.9001	+	14.1808i	−0.584851	+	0.490748i
$836$	−10.6333	+	8.92243i	−0.367762	+	0.308589i
$837$	−5.80027	+	10.0464i	−0.200487	+	0.347253i
$838$	4.26783	−	1.55336i	0.147430	−	0.0536601i
$839$	2.41143	+	13.6759i	0.0832517	+	0.472144i	0.997720	+	0.0674867i	$0.0214980\pi$
$839$	2.41143	+	13.6759i	0.0832517	+	0.472144i	−0.914468	+	0.404657i	$0.867391\pi$
$840$	0.785094	+	1.35982i	0.0270883	+	0.0469184i
$841$	13.9712	−	24.1988i	0.481765	−	0.834442i
$842$	−2.46661	−	0.897773i	−0.0850051	−	0.0309393i
$843$	−4.48219	−	7.76338i	−0.154375	−	0.267385i
$844$	0.268739	+	0.225499i	0.00925039	+	0.00776200i
$845$	22.9219			0.788538
$846$	−6.51109	−	5.46345i	−0.223856	−	0.187837i
$847$	−1.56012	+	0.567839i	−0.0536065	+	0.0195112i
$848$	−1.37971	+	7.82475i	−0.0473796	+	0.268703i
$849$	−3.62275	−	20.5456i	−0.124332	−	0.705125i
$850$	8.09678			0.277717
$851$	−34.7289	+	6.58718i	−1.19049	+	0.225806i
$852$	9.19605			0.315051
$853$	−2.39891	−	13.6049i	−0.0821370	−	0.465822i	−0.997938	−	0.0641892i	$-0.979554\pi$
$853$	−2.39891	−	13.6049i	−0.0821370	−	0.465822i	0.915801	−	0.401633i	$-0.131557\pi$
$854$	−1.82914	+	10.3736i	−0.0625919	+	0.354976i
$855$	−10.3659	+	3.77287i	−0.354505	+	0.129029i
$856$	−6.26700	−	5.25864i	−0.214202	−	0.179736i
$857$	−33.9238			−1.15881			−0.579407	−	0.815038i	$-0.696716\pi$
$857$	−33.9238			−1.15881			−0.579407	+	0.815038i	$0.696716\pi$
$858$	−9.88792	−	8.29695i	−0.337568	−	0.283253i
$859$	−10.4979	−	18.1828i	−0.358182	−	0.620390i	0.629475	−	0.777021i	$-0.283270\pi$
$859$	−10.4979	−	18.1828i	−0.358182	−	0.620390i	−0.987657	+	0.156631i	$0.949937\pi$
$860$	−4.30236	−	1.56593i	−0.146709	−	0.0533978i
$861$	−9.67821	+	16.7631i	−0.329832	+	0.571286i
$862$	11.8831	+	20.5822i	0.404741	+	0.701033i
$863$	7.01267	+	39.7708i	0.238714	+	1.35381i	0.834649	+	0.550782i	$0.185670\pi$
$863$	7.01267	+	39.7708i	0.238714	+	1.35381i	−0.595936	+	0.803032i	$0.703219\pi$
$864$	3.50092	−	1.27423i	0.119104	−	0.0433502i
$865$	7.82947	−	13.5610i	0.266210	−	0.461089i
$866$	−2.22048	+	1.86320i	−0.0754550	+	0.0633143i
$867$	−24.9732	+	20.9550i	−0.848134	+	0.711669i
$868$	6.84320	+	2.49072i	0.232273	+	0.0845406i
$869$	−3.79503	+	21.5227i	−0.128738	+	0.730108i
$870$	0.119893	−	0.679947i	0.00406475	−	0.0230523i
$871$	−74.7588	−	27.2100i	−2.53311	−	0.921975i
$872$	2.84148	−	2.38429i	0.0962248	−	0.0807422i
$873$	16.9946	−	14.2602i	0.575182	−	0.482635i
$874$	12.5730	−	21.7771i	0.425289	−	0.736622i
$875$	2.19774	−	0.799913i	0.0742973	−	0.0270420i
$876$	0.232639	+	1.31936i	0.00786016	+	0.0445772i
$877$	−6.25511	−	10.8342i	−0.211220	−	0.365844i	0.740877	−	0.671641i	$-0.234410\pi$
$877$	−6.25511	−	10.8342i	−0.211220	−	0.365844i	−0.952097	+	0.305797i	$0.901077\pi$
$878$	−0.867291	+	1.50219i	−0.0292697	+	0.0506965i
$879$	−4.82436	−	1.75592i	−0.162722	−	0.0592259i
$880$	−1.60391	−	2.77806i	−0.0540678	−	0.0936482i
$881$	5.34014	+	4.48091i	0.179914	+	0.150966i	0.728297	−	0.685261i	$-0.240312\pi$
$881$	5.34014	+	4.48091i	0.179914	+	0.150966i	−0.548383	+	0.836227i	$0.684757\pi$
$882$	−3.90054			−0.131338
$883$	25.8155	+	21.6618i	0.868762	+	0.728978i	0.963837	−	0.266492i	$-0.0858647\pi$
$883$	25.8155	+	21.6618i	0.868762	+	0.728978i	−0.0950753	+	0.995470i	$0.530309\pi$
$884$	−45.6014	+	16.5975i	−1.53374	+	0.558236i
$885$	0.127743	−	0.724467i	0.00429403	−	0.0243527i
$886$	1.28034	+	7.26115i	0.0430137	+	0.243943i
$887$	31.2576			1.04953			0.524764	−	0.851248i	$-0.324154\pi$
$887$	31.2576			1.04953			0.524764	+	0.851248i	$0.324154\pi$
$888$	3.56273	+	1.99604i	0.119557	+	0.0669828i
$889$	−9.66494			−0.324152
$890$	2.90456	+	16.4726i	0.0973610	+	0.552162i
$891$	2.86679	−	16.2584i	0.0960412	−	0.544677i
$892$	−17.5815	+	6.39914i	−0.588671	+	0.214259i
$893$	11.0521	+	9.27379i	0.369844	+	0.310336i
$894$	0.0205038			0.000685749
$895$	−8.04667	−	6.75195i	−0.268970	−	0.225693i
$896$	−1.16939	−	2.02545i	−0.0390667	−	0.0676656i
$897$	21.9731	+	7.99755i	0.733660	+	0.267030i
$898$	8.30002	−	14.3761i	0.276975	−	0.479735i
$899$	−1.60109	−	2.77316i	−0.0533992	−	0.0924902i
$900$	−0.442675	−	2.51054i	−0.0147558	−	0.0836845i
$901$	−60.4529	+	22.0031i	−2.01398	+	0.733028i
$902$	19.7721	−	34.2463i	0.658340	−	1.14028i
$903$	5.50715	−	4.62104i	0.183266	−	0.153779i
$904$	−2.92675	+	2.45584i	−0.0973424	+	0.0816800i
$905$	−4.58041	−	1.66713i	−0.152258	−	0.0554173i
$906$	−0.843105	+	4.78148i	−0.0280103	+	0.158854i
$907$	−4.13417	+	23.4461i	−0.137273	+	0.778514i	0.835977	+	0.548765i	$0.184902\pi$
$907$	−4.13417	+	23.4461i	−0.137273	+	0.778514i	−0.973250	+	0.229749i	$0.926209\pi$
$908$	17.5812	+	6.39904i	0.583453	+	0.212360i
$909$	0.571966	−	0.479936i	0.0189709	−	0.0159185i
$910$	−10.7380	+	9.01028i	−0.355962	+	0.298688i
$911$	22.7718	−	39.4418i	0.754462	−	1.30677i	−0.191179	−	0.981555i	$-0.561231\pi$
$911$	22.7718	−	39.4418i	0.754462	−	1.30677i	0.945641	−	0.325212i	$-0.105436\pi$
$912$	−2.72993	+	0.993614i	−0.0903971	+	0.0329018i
$913$	−8.87014	−	50.3051i	−0.293559	−	1.66486i
$914$	−2.47345	−	4.28414i	−0.0818144	−	0.141707i
$915$	−1.51188	+	2.61865i	−0.0499811	+	0.0865698i
$916$	−1.82100	−	0.662791i	−0.0601677	−	0.0218992i
$917$	21.2939	+	36.8822i	0.703187	+	1.21796i
$918$	23.1080	+	19.3899i	0.762678	+	0.639963i
$919$	1.12098			0.0369778			0.0184889	−	0.999829i	$-0.494114\pi$
$919$	1.12098			0.0369778			0.0184889	+	0.999829i	$0.494114\pi$
$920$	4.45162	+	3.73536i	0.146766	+	0.123151i
$921$	14.0542	−	5.11531i	0.463101	−	0.168555i
$922$	3.18351	−	18.0546i	0.104843	−	0.594596i
$923$	14.2558	+	80.8485i	0.469234	+	2.66116i
$924$	5.03689			0.165701
$925$	3.84942	−	4.70977i	0.126568	−	0.154856i
$926$	14.4656			0.475370
$927$	8.49738	+	48.1910i	0.279090	+	1.58280i
$928$	−0.178580	+	1.01278i	−0.00586218	+	0.0332460i
$929$	−17.3269	+	6.30649i	−0.568479	+	0.206909i	−0.610238	−	0.792218i	$-0.708926\pi$
$929$	−17.3269	+	6.30649i	−0.568479	+	0.206909i	0.0417591	+	0.999128i	$0.486704\pi$
$930$	1.60139	+	1.34373i	0.0525116	+	0.0440625i
$931$	6.62086			0.216990
$932$	−13.7112	−	11.5051i	−0.449126	−	0.376862i
$933$	3.78475	+	6.55538i	0.123907	+	0.214614i
$934$	−7.21290	−	2.62528i	−0.236013	−	0.0859018i
$935$	12.9865	−	22.4933i	0.424705	−	0.735610i
$936$	7.63950	+	13.2320i	0.249705	+	0.432501i
$937$	1.23220	+	6.98817i	0.0402543	+	0.228293i	0.998297	−	0.0583311i	$-0.0185779\pi$
$937$	1.23220	+	6.98817i	0.0402543	+	0.228293i	−0.958043	+	0.286625i	$0.907467\pi$
$938$	29.1725	−	10.6179i	0.952517	−	0.346688i
$939$	1.46973	−	2.54565i	0.0479628	−	0.0830740i
$940$	−2.55410	+	2.14315i	−0.0833057	+	0.0699018i
$941$	7.58142	−	6.36157i	0.247147	−	0.207381i	−0.510795	−	0.859702i	$-0.670649\pi$
$941$	7.58142	−	6.36157i	0.247147	−	0.207381i	0.757943	+	0.652321i	$0.226205\pi$
$942$	−8.85445	−	3.22276i	−0.288494	−	0.105003i
$943$	−12.4396	+	70.5487i	−0.405090	+	2.29738i
$944$	−0.190273	+	1.07909i	−0.00619285	+	0.0351214i
$945$	8.18791	+	2.98016i	0.266353	+	0.0969445i
$946$	−11.2508	+	9.44058i	−0.365796	+	0.306940i
$947$	5.66749	−	4.75559i	0.184169	−	0.154536i	−0.546042	−	0.837758i	$-0.683866\pi$
$947$	5.66749	−	4.75559i	0.184169	−	0.154536i	0.730211	+	0.683222i	$0.239422\pi$
$948$	−2.28700	+	3.96120i	−0.0742782	+	0.128654i
$949$	−11.2387	+	4.09057i	−0.364825	+	0.132786i
$950$	0.751407	+	4.26144i	0.0243789	+	0.138259i
$951$	−2.41562	−	4.18397i	−0.0783317	−	0.135674i
$952$	9.46833	−	16.3996i	0.306870	−	0.531515i
$953$	26.3777	+	9.60071i	0.854459	+	0.310998i	0.731857	−	0.681458i	$-0.238654\pi$
$953$	26.3777	+	9.60071i	0.854459	+	0.310998i	0.122602	+	0.992456i	$0.460876\pi$
$954$	10.1275	+	17.5414i	0.327891	+	0.567924i
$955$	6.66308	+	5.59099i	0.215612	+	0.180920i
$956$	10.8437			0.350709
$957$	−1.69663	−	1.42364i	−0.0548443	−	0.0460198i
$958$	−23.6291	+	8.60029i	−0.763422	+	0.277863i
$959$	−4.93891	+	28.0100i	−0.159486	+	0.904489i
$960$	−0.116582	−	0.661169i	−0.00376266	−	0.0213391i
$961$	−21.3046			−0.687246
$962$	−12.0255	+	34.4165i	−0.387719	+	1.10963i
$963$	−20.8555			−0.672059
$964$	−3.10718	−	17.6217i	−0.100075	−	0.567556i
$965$	2.99632	−	16.9930i	0.0964551	−	0.547024i
$966$	−8.57437	+	3.12082i	−0.275876	+	0.100411i
$967$	24.9855	+	20.9653i	0.803478	+	0.674198i	0.949042	−	0.315151i	$-0.102055\pi$
$967$	24.9855	+	20.9653i	0.803478	+	0.674198i	−0.145564	+	0.989349i	$0.546500\pi$
$968$	0.709875			0.0228163
$969$	−18.0191	−	15.1198i	−0.578856	−	0.485718i
$970$	−4.35124	−	7.53657i	−0.139710	−	0.241985i
$971$	−30.0313	−	10.9305i	−0.963752	−	0.350777i	−0.188249	−	0.982121i	$-0.560281\pi$
$971$	−30.0313	−	10.9305i	−0.963752	−	0.350777i	−0.775503	+	0.631344i	$0.782503\pi$
$972$	7.31601	−	12.6717i	0.234661	−	0.406445i
$973$	−6.63374	−	11.4900i	−0.212668	−	0.368352i
$974$	−4.25987	−	24.1589i	−0.136495	−	0.774102i
$975$	−3.78117	+	1.37623i	−0.121094	+	0.0440748i
$976$	2.25193	−	3.90046i	0.0720827	−	0.124851i
$977$	16.3746	−	13.7400i	0.523871	−	0.439580i	−0.342107	−	0.939661i	$-0.611141\pi$
$977$	16.3746	−	13.7400i	0.523871	−	0.439580i	0.865979	+	0.500081i	$0.166696\pi$
$978$	3.00423	−	2.52085i	0.0960646	−	0.0806078i
$979$	50.4204	+	18.3515i	1.61144	+	0.586517i
$980$	−0.265693	+	1.50682i	−0.00848724	+	0.0481335i
$981$	1.64201	−	9.31231i	0.0524254	−	0.297319i
$982$	−8.98063	−	3.26868i	−0.286584	−	0.104308i
$983$	39.4419	−	33.0957i	1.25800	−	1.05559i	0.262108	−	0.965039i	$-0.415582\pi$
$983$	39.4419	−	33.0957i	1.25800	−	1.05559i	0.995892	−	0.0905488i	$-0.0288621\pi$
$984$	6.33998	−	5.31987i	0.202111	−	0.169591i
$985$	2.69181	−	4.66236i	0.0857683	−	0.148555i
$986$	−7.82457	+	2.84791i	−0.249185	+	0.0906960i
$987$	−0.909090	−	5.15570i	−0.0289366	−	0.164108i
$988$	−12.9675	−	22.4603i	−0.412550	−	0.714557i
$989$	13.3032	−	23.0418i	0.423016	−	0.732686i
$990$	−7.68442	−	2.79690i	−0.244227	−	0.0888913i
$991$	4.59042	+	7.95083i	0.145819	+	0.252567i	0.929678	−	0.368372i	$-0.120085\pi$
$991$	4.59042	+	7.95083i	0.145819	+	0.252567i	−0.783859	+	0.620939i	$0.786751\pi$
$992$	−2.38526	−	2.00147i	−0.0757322	−	0.0635468i
$993$	−5.71273			−0.181288
$994$	−24.5406	−	20.5920i	−0.778381	−	0.653139i
$995$	16.4298	−	5.97996i	0.520860	−	0.189577i
$996$	1.85644	−	10.5284i	0.0588236	−	0.333605i
$997$	−3.62020	−	20.5311i	−0.114653	−	0.650228i	−0.986922	−	0.161201i	$-0.948463\pi$
$997$	−3.62020	−	20.5311i	−0.114653	−	0.650228i	0.872269	−	0.489027i	$-0.162648\pi$
$998$	−14.3468			−0.454139
$999$	22.2650	−	4.22310i	0.704433	−	0.133613i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.o.c.231.2	yes	24
37.33	even	9	inner	370.2.o.c.181.2	✓	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.o.c.181.2	✓	24	37.33	even	9	inner
370.2.o.c.231.2	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:	\( N \)	\(=\)	\( 370 = 2 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	370.o (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.173648 - 0.984808i) q^{2} +(-0.116582 + 0.661169i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.766044 + 0.642788i) q^{5} +0.671368 q^{6} +(-1.79162 - 1.50334i) q^{7} +(0.500000 + 0.866025i) q^{8} +(2.39553 + 0.871900i) q^{9} +O(q^{10})\)	\(q+(-0.173648 - 0.984808i) q^{2} +(-0.116582 + 0.661169i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.766044 + 0.642788i) q^{5} +0.671368 q^{6} +(-1.79162 - 1.50334i) q^{7} +(0.500000 + 0.866025i) q^{8} +(2.39553 + 0.871900i) q^{9} +(0.500000 - 0.866025i) q^{10} +(-1.60391 - 2.77806i) q^{11} +(-0.116582 - 0.661169i) q^{12} +(5.63204 - 2.04989i) q^{13} +(-1.16939 + 2.02545i) q^{14} +(-0.514298 + 0.431547i) q^{15} +(0.766044 - 0.642788i) q^{16} +(7.60849 + 2.76926i) q^{17} +(0.442675 - 2.51054i) q^{18} +(-0.751407 + 4.26144i) q^{19} +(-0.939693 - 0.342020i) q^{20} +(1.20283 - 1.00930i) q^{21} +(-2.45733 + 2.06195i) q^{22} +(2.90559 - 5.03263i) q^{23} +(-0.630880 + 0.229621i) q^{24} +(0.173648 + 0.984808i) q^{25} +(-2.99674 - 5.19051i) q^{26} +(-1.86280 + 3.22646i) q^{27} +(2.19774 + 0.799913i) q^{28} +(-0.514201 - 0.890622i) q^{29} +(0.514298 + 0.431547i) q^{30} +3.11374 q^{31} +(-0.766044 - 0.642788i) q^{32} +(2.02375 - 0.736585i) q^{33} +(1.40599 - 7.97377i) q^{34} +(-0.406127 - 2.30326i) q^{35} -2.54926 q^{36} +(-3.96978 - 4.60878i) q^{37} +4.32718 q^{38} +(0.698732 + 3.96271i) q^{39} +(-0.173648 + 0.984808i) q^{40} +(-11.5840 + 4.21623i) q^{41} +(-1.20283 - 1.00930i) q^{42} +4.57847 q^{43} +(2.45733 + 2.06195i) q^{44} +(1.27463 + 2.20773i) q^{45} +(-5.46073 - 1.98754i) q^{46} +(1.66707 - 2.88746i) q^{47} +(0.335684 + 0.581422i) q^{48} +(-0.265693 - 1.50682i) q^{49} +(0.939693 - 0.342020i) q^{50} +(-2.71796 + 4.70765i) q^{51} +(-4.59128 + 3.85254i) q^{52} +(-6.08658 + 5.10724i) q^{53} +(3.50092 + 1.27423i) q^{54} +(0.557033 - 3.15909i) q^{55} +(0.406127 - 2.30326i) q^{56} +(-2.72993 - 0.993614i) q^{57} +(-0.787801 + 0.661044i) q^{58} +(-0.839383 + 0.704326i) q^{59} +(0.335684 - 0.581422i) q^{60} +(4.23225 - 1.54041i) q^{61} +(-0.540695 - 3.06643i) q^{62} +(-2.98110 - 5.16341i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(5.63204 + 2.04989i) q^{65} +(-1.07681 - 1.86510i) q^{66} +(-10.1684 - 8.53227i) q^{67} -8.09678 q^{68} +(2.98868 + 2.50780i) q^{69} +(-2.19774 + 0.799913i) q^{70} +(-2.37854 + 13.4894i) q^{71} +(0.442675 + 2.51054i) q^{72} -1.99550 q^{73} +(-3.84942 + 4.70977i) q^{74} -0.671368 q^{75} +(-0.751407 - 4.26144i) q^{76} +(-1.30278 + 7.38844i) q^{77} +(3.78117 - 1.37623i) q^{78} +(-5.21902 - 4.37928i) q^{79} +1.00000 q^{80} +(3.94248 + 3.30814i) q^{81} +(6.16372 + 10.6759i) q^{82} +(14.9636 + 5.44630i) q^{83} +(-0.785094 + 1.35982i) q^{84} +(4.04839 + 7.01202i) q^{85} +(-0.795044 - 4.50892i) q^{86} +(0.648797 - 0.236143i) q^{87} +(1.60391 - 2.77806i) q^{88} +(-12.8134 + 10.7517i) q^{89} +(1.95285 - 1.63864i) q^{90} +(-13.1722 - 4.79427i) q^{91} +(-1.00910 + 5.72290i) q^{92} +(-0.363006 + 2.05871i) q^{93} +(-3.13307 - 1.14035i) q^{94} +(-3.31481 + 2.78146i) q^{95} +(0.514298 - 0.431547i) q^{96} +(4.35124 - 7.53657i) q^{97} +(-1.43779 + 0.523313i) q^{98} +(-1.42002 - 8.05335i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q - 6 q^{6} - 3 q^{7} + 12 q^{8} + 12 q^{9}+O(q^{10}) \) 24 * q - 6 * q^6 - 3 * q^7 + 12 * q^8 + 12 * q^9	\( 24 q - 6 q^{6} - 3 q^{7} + 12 q^{8} + 12 q^{9} + 12 q^{10} - 15 q^{11} + 3 q^{14} - 6 q^{17} + 6 q^{18} - 6 q^{19} + 36 q^{21} + 9 q^{22} + 21 q^{23} - 6 q^{26} - 12 q^{27} - 3 q^{28} + 12 q^{29} + 30 q^{31} - 39 q^{33} - 21 q^{34} + 6 q^{35} + 54 q^{36} - 12 q^{37} - 36 q^{38} - 18 q^{39} + 27 q^{41} - 36 q^{42} - 24 q^{43} - 9 q^{44} - 27 q^{45} + 3 q^{46} - 6 q^{47} - 3 q^{48} - 27 q^{49} - 6 q^{51} - 9 q^{52} + 6 q^{53} + 9 q^{54} + 9 q^{55} - 6 q^{56} - 27 q^{57} + 27 q^{58} + 51 q^{59} - 3 q^{60} - 3 q^{62} - 27 q^{63} - 12 q^{64} + 15 q^{66} - 18 q^{69} + 3 q^{70} - 66 q^{71} + 6 q^{72} + 42 q^{73} - 42 q^{74} + 6 q^{75} - 6 q^{76} + 69 q^{77} + 36 q^{78} - 30 q^{79} + 24 q^{80} - 90 q^{81} + 24 q^{82} + 57 q^{83} + 6 q^{84} - 6 q^{86} + 6 q^{87} + 15 q^{88} - 57 q^{89} + 6 q^{90} + 3 q^{91} + 15 q^{92} - 72 q^{93} + 3 q^{94} - 15 q^{95} - 3 q^{97} - 72 q^{98} + 63 q^{99}+O(q^{100}) \) 24 * q - 6 * q^6 - 3 * q^7 + 12 * q^8 + 12 * q^9 + 12 * q^10 - 15 * q^11 + 3 * q^14 - 6 * q^17 + 6 * q^18 - 6 * q^19 + 36 * q^21 + 9 * q^22 + 21 * q^23 - 6 * q^26 - 12 * q^27 - 3 * q^28 + 12 * q^29 + 30 * q^31 - 39 * q^33 - 21 * q^34 + 6 * q^35 + 54 * q^36 - 12 * q^37 - 36 * q^38 - 18 * q^39 + 27 * q^41 - 36 * q^42 - 24 * q^43 - 9 * q^44 - 27 * q^45 + 3 * q^46 - 6 * q^47 - 3 * q^48 - 27 * q^49 - 6 * q^51 - 9 * q^52 + 6 * q^53 + 9 * q^54 + 9 * q^55 - 6 * q^56 - 27 * q^57 + 27 * q^58 + 51 * q^59 - 3 * q^60 - 3 * q^62 - 27 * q^63 - 12 * q^64 + 15 * q^66 - 18 * q^69 + 3 * q^70 - 66 * q^71 + 6 * q^72 + 42 * q^73 - 42 * q^74 + 6 * q^75 - 6 * q^76 + 69 * q^77 + 36 * q^78 - 30 * q^79 + 24 * q^80 - 90 * q^81 + 24 * q^82 + 57 * q^83 + 6 * q^84 - 6 * q^86 + 6 * q^87 + 15 * q^88 - 57 * q^89 + 6 * q^90 + 3 * q^91 + 15 * q^92 - 72 * q^93 + 3 * q^94 - 15 * q^95 - 3 * q^97 - 72 * q^98 + 63 * q^99

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