# Properties

 Label 280.1.bi.b.179.1 Level $280$ Weight $1$ Character 280.179 Analytic conductor $0.140$ Analytic rank $0$ Dimension $2$ Projective image $D_{3}$ CM discriminant -40 Inner twists $4$

# Related objects

## Newspace parameters

 Level: $$N$$ $$=$$ $$280 = 2^{3} \cdot 5 \cdot 7$$ Weight: $$k$$ $$=$$ $$1$$ Character orbit: $$[\chi]$$ $$=$$ 280.bi (of order $$6$$, degree $$2$$, minimal)

## Newform invariants

 Self dual: no Analytic conductor: $$0.139738203537$$ Analytic rank: $$0$$ Dimension: $$2$$ Coefficient field: $$\Q(\zeta_{6})$$ Defining polynomial: $$x^{2} - x + 1$$ Coefficient ring: $$\Z[a_1, a_2]$$ Coefficient ring index: $$1$$ Twist minimal: yes Projective image: $$D_{3}$$ Projective field: Galois closure of 3.1.1960.1 Artin image: $C_6\times S_3$ Artin field: Galois closure of $$\mathbb{Q}[x]/(x^{12} - \cdots)$$

## Embedding invariants

 Embedding label 179.1 Root $$0.500000 - 0.866025i$$ of defining polynomial Character $$\chi$$ $$=$$ 280.179 Dual form 280.1.bi.b.219.1

## $q$-expansion

 $$f(q)$$ $$=$$ $$q+(0.500000 + 0.866025i) q^{2} +(-0.500000 + 0.866025i) q^{4} +(0.500000 + 0.866025i) q^{5} -1.00000 q^{7} -1.00000 q^{8} +(-0.500000 - 0.866025i) q^{9} +O(q^{10})$$ $$q+(0.500000 + 0.866025i) q^{2} +(-0.500000 + 0.866025i) q^{4} +(0.500000 + 0.866025i) q^{5} -1.00000 q^{7} -1.00000 q^{8} +(-0.500000 - 0.866025i) q^{9} +(-0.500000 + 0.866025i) q^{10} +(0.500000 - 0.866025i) q^{11} +1.00000 q^{13} +(-0.500000 - 0.866025i) q^{14} +(-0.500000 - 0.866025i) q^{16} +(0.500000 - 0.866025i) q^{18} +(0.500000 + 0.866025i) q^{19} -1.00000 q^{20} +1.00000 q^{22} +(-0.500000 - 0.866025i) q^{23} +(-0.500000 + 0.866025i) q^{25} +(0.500000 + 0.866025i) q^{26} +(0.500000 - 0.866025i) q^{28} +(0.500000 - 0.866025i) q^{32} +(-0.500000 - 0.866025i) q^{35} +1.00000 q^{36} +(-0.500000 - 0.866025i) q^{37} +(-0.500000 + 0.866025i) q^{38} +(-0.500000 - 0.866025i) q^{40} -1.00000 q^{41} +(0.500000 + 0.866025i) q^{44} +(0.500000 - 0.866025i) q^{45} +(0.500000 - 0.866025i) q^{46} +(-0.500000 - 0.866025i) q^{47} +1.00000 q^{49} -1.00000 q^{50} +(-0.500000 + 0.866025i) q^{52} +(-0.500000 + 0.866025i) q^{53} +1.00000 q^{55} +1.00000 q^{56} +(-1.00000 + 1.73205i) q^{59} +(0.500000 + 0.866025i) q^{63} +1.00000 q^{64} +(0.500000 + 0.866025i) q^{65} +(0.500000 - 0.866025i) q^{70} +(0.500000 + 0.866025i) q^{72} +(0.500000 - 0.866025i) q^{74} -1.00000 q^{76} +(-0.500000 + 0.866025i) q^{77} +(0.500000 - 0.866025i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-0.500000 - 0.866025i) q^{82} +(-0.500000 + 0.866025i) q^{88} +(-1.00000 - 1.73205i) q^{89} +1.00000 q^{90} -1.00000 q^{91} +1.00000 q^{92} +(0.500000 - 0.866025i) q^{94} +(-0.500000 + 0.866025i) q^{95} +(0.500000 + 0.866025i) q^{98} -1.00000 q^{99} +O(q^{100})$$ $$\operatorname{Tr}(f)(q)$$ $$=$$ $$2q + q^{2} - q^{4} + q^{5} - 2q^{7} - 2q^{8} - q^{9} + O(q^{10})$$ $$2q + q^{2} - q^{4} + q^{5} - 2q^{7} - 2q^{8} - q^{9} - q^{10} + q^{11} + 2q^{13} - q^{14} - q^{16} + q^{18} + q^{19} - 2q^{20} + 2q^{22} - q^{23} - q^{25} + q^{26} + q^{28} + q^{32} - q^{35} + 2q^{36} - q^{37} - q^{38} - q^{40} - 2q^{41} + q^{44} + q^{45} + q^{46} - q^{47} + 2q^{49} - 2q^{50} - q^{52} - q^{53} + 2q^{55} + 2q^{56} - 2q^{59} + q^{63} + 2q^{64} + q^{65} + q^{70} + q^{72} + q^{74} - 2q^{76} - q^{77} + q^{80} - q^{81} - q^{82} - q^{88} - 2q^{89} + 2q^{90} - 2q^{91} + 2q^{92} + q^{94} - q^{95} + q^{98} - 2q^{99} + O(q^{100})$$

## Character values

We give the values of $$\chi$$ on generators for $$\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$$.

 $$n$$ $$57$$ $$71$$ $$141$$ $$241$$ $$\chi(n)$$ $$-1$$ $$-1$$ $$-1$$ $$e\left(\frac{2}{3}\right)$$

## 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 Display $$a_n$$ with $$n$$ up to: 50 250 1000
$$n$$ $$a_n$$ $$a_n / n^{(k-1)/2}$$ $$\alpha_n$$ $$\theta_n$$
$$p$$ $$a_p$$ $$a_p / p^{(k-1)/2}$$ $$\alpha_p$$ $$\theta_p$$
$$2$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$3$$ 0 0 0.500000 0.866025i $$-0.333333\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$4$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$5$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$6$$ 0 0
$$7$$ −1.00000 −1.00000
$$8$$ −1.00000 −1.00000
$$9$$ −0.500000 0.866025i −0.500000 0.866025i
$$10$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$11$$ 0.500000 0.866025i 0.500000 0.866025i −0.500000 0.866025i $$-0.666667\pi$$
1.00000 $$0$$
$$12$$ 0 0
$$13$$ 1.00000 1.00000 0.500000 0.866025i $$-0.333333\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$14$$ −0.500000 0.866025i −0.500000 0.866025i
$$15$$ 0 0
$$16$$ −0.500000 0.866025i −0.500000 0.866025i
$$17$$ 0 0 0.500000 0.866025i $$-0.333333\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$18$$ 0.500000 0.866025i 0.500000 0.866025i
$$19$$ 0.500000 + 0.866025i 0.500000 + 0.866025i 1.00000 $$0$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$20$$ −1.00000 −1.00000
$$21$$ 0 0
$$22$$ 1.00000 1.00000
$$23$$ −0.500000 0.866025i −0.500000 0.866025i 0.500000 0.866025i $$-0.333333\pi$$
−1.00000 $$\pi$$
$$24$$ 0 0
$$25$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$26$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$27$$ 0 0
$$28$$ 0.500000 0.866025i 0.500000 0.866025i
$$29$$ 0 0 1.00000 $$0$$
−1.00000 $$\pi$$
$$30$$ 0 0
$$31$$ 0 0 0.500000 0.866025i $$-0.333333\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$32$$ 0.500000 0.866025i 0.500000 0.866025i
$$33$$ 0 0
$$34$$ 0 0
$$35$$ −0.500000 0.866025i −0.500000 0.866025i
$$36$$ 1.00000 1.00000
$$37$$ −0.500000 0.866025i −0.500000 0.866025i 0.500000 0.866025i $$-0.333333\pi$$
−1.00000 $$\pi$$
$$38$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$39$$ 0 0
$$40$$ −0.500000 0.866025i −0.500000 0.866025i
$$41$$ −1.00000 −1.00000 −0.500000 0.866025i $$-0.666667\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$42$$ 0 0
$$43$$ 0 0 1.00000 $$0$$
−1.00000 $$\pi$$
$$44$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$45$$ 0.500000 0.866025i 0.500000 0.866025i
$$46$$ 0.500000 0.866025i 0.500000 0.866025i
$$47$$ −0.500000 0.866025i −0.500000 0.866025i 0.500000 0.866025i $$-0.333333\pi$$
−1.00000 $$\pi$$
$$48$$ 0 0
$$49$$ 1.00000 1.00000
$$50$$ −1.00000 −1.00000
$$51$$ 0 0
$$52$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$53$$ −0.500000 + 0.866025i −0.500000 + 0.866025i 0.500000 + 0.866025i $$0.333333\pi$$
−1.00000 $$\pi$$
$$54$$ 0 0
$$55$$ 1.00000 1.00000
$$56$$ 1.00000 1.00000
$$57$$ 0 0
$$58$$ 0 0
$$59$$ −1.00000 + 1.73205i −1.00000 + 1.73205i −0.500000 + 0.866025i $$0.666667\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$60$$ 0 0
$$61$$ 0 0 −0.500000 0.866025i $$-0.666667\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$62$$ 0 0
$$63$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$64$$ 1.00000 1.00000
$$65$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$66$$ 0 0
$$67$$ 0 0 0.500000 0.866025i $$-0.333333\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$68$$ 0 0
$$69$$ 0 0
$$70$$ 0.500000 0.866025i 0.500000 0.866025i
$$71$$ 0 0 1.00000 $$0$$
−1.00000 $$\pi$$
$$72$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$73$$ 0 0 0.500000 0.866025i $$-0.333333\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$74$$ 0.500000 0.866025i 0.500000 0.866025i
$$75$$ 0 0
$$76$$ −1.00000 −1.00000
$$77$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$78$$ 0 0
$$79$$ 0 0 −0.500000 0.866025i $$-0.666667\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$80$$ 0.500000 0.866025i 0.500000 0.866025i
$$81$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$82$$ −0.500000 0.866025i −0.500000 0.866025i
$$83$$ 0 0 1.00000 $$0$$
−1.00000 $$\pi$$
$$84$$ 0 0
$$85$$ 0 0
$$86$$ 0 0
$$87$$ 0 0
$$88$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$89$$ −1.00000 1.73205i −1.00000 1.73205i −0.500000 0.866025i $$-0.666667\pi$$
−0.500000 0.866025i $$-0.666667\pi$$
$$90$$ 1.00000 1.00000
$$91$$ −1.00000 −1.00000
$$92$$ 1.00000 1.00000
$$93$$ 0 0
$$94$$ 0.500000 0.866025i 0.500000 0.866025i
$$95$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$96$$ 0 0
$$97$$ 0 0 1.00000 $$0$$
−1.00000 $$\pi$$
$$98$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$99$$ −1.00000 −1.00000
$$100$$ −0.500000 0.866025i −0.500000 0.866025i
$$101$$ 0 0 0.500000 0.866025i $$-0.333333\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$102$$ 0 0
$$103$$ 1.00000 + 1.73205i 1.00000 + 1.73205i 0.500000 + 0.866025i $$0.333333\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$104$$ −1.00000 −1.00000
$$105$$ 0 0
$$106$$ −1.00000 −1.00000
$$107$$ 0 0 −0.500000 0.866025i $$-0.666667\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$108$$ 0 0
$$109$$ 0 0 0.500000 0.866025i $$-0.333333\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$110$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$111$$ 0 0
$$112$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$113$$ 0 0 1.00000 $$0$$
−1.00000 $$\pi$$
$$114$$ 0 0
$$115$$ 0.500000 0.866025i 0.500000 0.866025i
$$116$$ 0 0
$$117$$ −0.500000 0.866025i −0.500000 0.866025i
$$118$$ −2.00000 −2.00000
$$119$$ 0 0
$$120$$ 0 0
$$121$$ 0 0
$$122$$ 0 0
$$123$$ 0 0
$$124$$ 0 0
$$125$$ −1.00000 −1.00000
$$126$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$127$$ 1.00000 1.00000 0.500000 0.866025i $$-0.333333\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$128$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$129$$ 0 0
$$130$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$131$$ 0.500000 + 0.866025i 0.500000 + 0.866025i 1.00000 $$0$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$132$$ 0 0
$$133$$ −0.500000 0.866025i −0.500000 0.866025i
$$134$$ 0 0
$$135$$ 0 0
$$136$$ 0 0
$$137$$ 0 0 0.500000 0.866025i $$-0.333333\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$138$$ 0 0
$$139$$ 2.00000 2.00000 1.00000 $$0$$
1.00000 $$0$$
$$140$$ 1.00000 1.00000
$$141$$ 0 0
$$142$$ 0 0
$$143$$ 0.500000 0.866025i 0.500000 0.866025i
$$144$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$145$$ 0 0
$$146$$ 0 0
$$147$$ 0 0
$$148$$ 1.00000 1.00000
$$149$$ 0 0 −0.500000 0.866025i $$-0.666667\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$150$$ 0 0
$$151$$ 0 0 0.500000 0.866025i $$-0.333333\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$152$$ −0.500000 0.866025i −0.500000 0.866025i
$$153$$ 0 0
$$154$$ −1.00000 −1.00000
$$155$$ 0 0
$$156$$ 0 0
$$157$$ −0.500000 + 0.866025i −0.500000 + 0.866025i 0.500000 + 0.866025i $$0.333333\pi$$
−1.00000 $$\pi$$
$$158$$ 0 0
$$159$$ 0 0
$$160$$ 1.00000 1.00000
$$161$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$162$$ −1.00000 −1.00000
$$163$$ 0 0 −0.500000 0.866025i $$-0.666667\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$164$$ 0.500000 0.866025i 0.500000 0.866025i
$$165$$ 0 0
$$166$$ 0 0
$$167$$ 1.00000 1.00000 0.500000 0.866025i $$-0.333333\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$168$$ 0 0
$$169$$ 0 0
$$170$$ 0 0
$$171$$ 0.500000 0.866025i 0.500000 0.866025i
$$172$$ 0 0
$$173$$ −0.500000 0.866025i −0.500000 0.866025i 0.500000 0.866025i $$-0.333333\pi$$
−1.00000 $$\pi$$
$$174$$ 0 0
$$175$$ 0.500000 0.866025i 0.500000 0.866025i
$$176$$ −1.00000 −1.00000
$$177$$ 0 0
$$178$$ 1.00000 1.73205i 1.00000 1.73205i
$$179$$ 0.500000 0.866025i 0.500000 0.866025i −0.500000 0.866025i $$-0.666667\pi$$
1.00000 $$0$$
$$180$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$181$$ 0 0 1.00000 $$0$$
−1.00000 $$\pi$$
$$182$$ −0.500000 0.866025i −0.500000 0.866025i
$$183$$ 0 0
$$184$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$185$$ 0.500000 0.866025i 0.500000 0.866025i
$$186$$ 0 0
$$187$$ 0 0
$$188$$ 1.00000 1.00000
$$189$$ 0 0
$$190$$ −1.00000 −1.00000
$$191$$ 0 0 −0.500000 0.866025i $$-0.666667\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$192$$ 0 0
$$193$$ 0 0 0.500000 0.866025i $$-0.333333\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$194$$ 0 0
$$195$$ 0 0
$$196$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$197$$ 1.00000 1.00000 0.500000 0.866025i $$-0.333333\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$198$$ −0.500000 0.866025i −0.500000 0.866025i
$$199$$ 0 0 0.500000 0.866025i $$-0.333333\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$200$$ 0.500000 0.866025i 0.500000 0.866025i
$$201$$ 0 0
$$202$$ 0 0
$$203$$ 0 0
$$204$$ 0 0
$$205$$ −0.500000 0.866025i −0.500000 0.866025i
$$206$$ −1.00000 + 1.73205i −1.00000 + 1.73205i
$$207$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$208$$ −0.500000 0.866025i −0.500000 0.866025i
$$209$$ 1.00000 1.00000
$$210$$ 0 0
$$211$$ −1.00000 −1.00000 −0.500000 0.866025i $$-0.666667\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$212$$ −0.500000 0.866025i −0.500000 0.866025i
$$213$$ 0 0
$$214$$ 0 0
$$215$$ 0 0
$$216$$ 0 0
$$217$$ 0 0
$$218$$ 0 0
$$219$$ 0 0
$$220$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$221$$ 0 0
$$222$$ 0 0
$$223$$ −2.00000 −2.00000 −1.00000 $$\pi$$
−1.00000 $$\pi$$
$$224$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$225$$ 1.00000 1.00000
$$226$$ 0 0
$$227$$ 0 0 0.500000 0.866025i $$-0.333333\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$228$$ 0 0
$$229$$ 0 0 −0.500000 0.866025i $$-0.666667\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$230$$ 1.00000 1.00000
$$231$$ 0 0
$$232$$ 0 0
$$233$$ 0 0 −0.500000 0.866025i $$-0.666667\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$234$$ 0.500000 0.866025i 0.500000 0.866025i
$$235$$ 0.500000 0.866025i 0.500000 0.866025i
$$236$$ −1.00000 1.73205i −1.00000 1.73205i
$$237$$ 0 0
$$238$$ 0 0
$$239$$ 0 0 1.00000 $$0$$
−1.00000 $$\pi$$
$$240$$ 0 0
$$241$$ 0.500000 0.866025i 0.500000 0.866025i −0.500000 0.866025i $$-0.666667\pi$$
1.00000 $$0$$
$$242$$ 0 0
$$243$$ 0 0
$$244$$ 0 0
$$245$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$246$$ 0 0
$$247$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$248$$ 0 0
$$249$$ 0 0
$$250$$ −0.500000 0.866025i −0.500000 0.866025i
$$251$$ −1.00000 −1.00000 −0.500000 0.866025i $$-0.666667\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$252$$ −1.00000 −1.00000
$$253$$ −1.00000 −1.00000
$$254$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$255$$ 0 0
$$256$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$257$$ 0 0 −0.500000 0.866025i $$-0.666667\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$258$$ 0 0
$$259$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$260$$ −1.00000 −1.00000
$$261$$ 0 0
$$262$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$263$$ 1.00000 1.73205i 1.00000 1.73205i 0.500000 0.866025i $$-0.333333\pi$$
0.500000 0.866025i $$-0.333333\pi$$
$$264$$ 0 0
$$265$$ −1.00000 −1.00000
$$266$$ 0.500000 0.866025i 0.500000 0.866025i
$$267$$ 0 0
$$268$$ 0 0
$$269$$ 0 0 0.500000 0.866025i $$-0.333333\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$270$$ 0 0
$$271$$ 0 0 −0.500000 0.866025i $$-0.666667\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$272$$ 0 0
$$273$$ 0 0
$$274$$ 0 0
$$275$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$276$$ 0 0
$$277$$ 1.00000 1.73205i 1.00000 1.73205i 0.500000 0.866025i $$-0.333333\pi$$
0.500000 0.866025i $$-0.333333\pi$$
$$278$$ 1.00000 + 1.73205i 1.00000 + 1.73205i
$$279$$ 0 0
$$280$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$281$$ −1.00000 −1.00000 −0.500000 0.866025i $$-0.666667\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$282$$ 0 0
$$283$$ 0 0 0.500000 0.866025i $$-0.333333\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$284$$ 0 0
$$285$$ 0 0
$$286$$ 1.00000 1.00000
$$287$$ 1.00000 1.00000
$$288$$ −1.00000 −1.00000
$$289$$ −0.500000 0.866025i −0.500000 0.866025i
$$290$$ 0 0
$$291$$ 0 0
$$292$$ 0 0
$$293$$ 1.00000 1.00000 0.500000 0.866025i $$-0.333333\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$294$$ 0 0
$$295$$ −2.00000 −2.00000
$$296$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$297$$ 0 0
$$298$$ 0 0
$$299$$ −0.500000 0.866025i −0.500000 0.866025i
$$300$$ 0 0
$$301$$ 0 0
$$302$$ 0 0
$$303$$ 0 0
$$304$$ 0.500000 0.866025i 0.500000 0.866025i
$$305$$ 0 0
$$306$$ 0 0
$$307$$ 0 0 1.00000 $$0$$
−1.00000 $$\pi$$
$$308$$ −0.500000 0.866025i −0.500000 0.866025i
$$309$$ 0 0
$$310$$ 0 0
$$311$$ 0 0 0.500000 0.866025i $$-0.333333\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$312$$ 0 0
$$313$$ 0 0 −0.500000 0.866025i $$-0.666667\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$314$$ −1.00000 −1.00000
$$315$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$316$$ 0 0
$$317$$ 1.00000 + 1.73205i 1.00000 + 1.73205i 0.500000 + 0.866025i $$0.333333\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$318$$ 0 0
$$319$$ 0 0
$$320$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$321$$ 0 0
$$322$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$323$$ 0 0
$$324$$ −0.500000 0.866025i −0.500000 0.866025i
$$325$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$326$$ 0 0
$$327$$ 0 0
$$328$$ 1.00000 1.00000
$$329$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$330$$ 0 0
$$331$$ 0.500000 + 0.866025i 0.500000 + 0.866025i 1.00000 $$0$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$332$$ 0 0
$$333$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$334$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$335$$ 0 0
$$336$$ 0 0
$$337$$ 0 0 1.00000 $$0$$
−1.00000 $$\pi$$
$$338$$ 0 0
$$339$$ 0 0
$$340$$ 0 0
$$341$$ 0 0
$$342$$ 1.00000 1.00000
$$343$$ −1.00000 −1.00000
$$344$$ 0 0
$$345$$ 0 0
$$346$$ 0.500000 0.866025i 0.500000 0.866025i
$$347$$ 0 0 0.500000 0.866025i $$-0.333333\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$348$$ 0 0
$$349$$ 0 0 1.00000 $$0$$
−1.00000 $$\pi$$
$$350$$ 1.00000 1.00000
$$351$$ 0 0
$$352$$ −0.500000 0.866025i −0.500000 0.866025i
$$353$$ 0 0 0.500000 0.866025i $$-0.333333\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$354$$ 0 0
$$355$$ 0 0
$$356$$ 2.00000 2.00000
$$357$$ 0 0
$$358$$ 1.00000 1.00000
$$359$$ 0 0 −0.500000 0.866025i $$-0.666667\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$360$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$361$$ 0 0
$$362$$ 0 0
$$363$$ 0 0
$$364$$ 0.500000 0.866025i 0.500000 0.866025i
$$365$$ 0 0
$$366$$ 0 0
$$367$$ −0.500000 + 0.866025i −0.500000 + 0.866025i 0.500000 + 0.866025i $$0.333333\pi$$
−1.00000 $$\pi$$
$$368$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$369$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$370$$ 1.00000 1.00000
$$371$$ 0.500000 0.866025i 0.500000 0.866025i
$$372$$ 0 0
$$373$$ 1.00000 + 1.73205i 1.00000 + 1.73205i 0.500000 + 0.866025i $$0.333333\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$374$$ 0 0
$$375$$ 0 0
$$376$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$377$$ 0 0
$$378$$ 0 0
$$379$$ −1.00000 −1.00000 −0.500000 0.866025i $$-0.666667\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$380$$ −0.500000 0.866025i −0.500000 0.866025i
$$381$$ 0 0
$$382$$ 0 0
$$383$$ −0.500000 0.866025i −0.500000 0.866025i 0.500000 0.866025i $$-0.333333\pi$$
−1.00000 $$\pi$$
$$384$$ 0 0
$$385$$ −1.00000 −1.00000
$$386$$ 0 0
$$387$$ 0 0
$$388$$ 0 0
$$389$$ 0 0 0.500000 0.866025i $$-0.333333\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$390$$ 0 0
$$391$$ 0 0
$$392$$ −1.00000 −1.00000
$$393$$ 0 0
$$394$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$395$$ 0 0
$$396$$ 0.500000 0.866025i 0.500000 0.866025i
$$397$$ 1.00000 + 1.73205i 1.00000 + 1.73205i 0.500000 + 0.866025i $$0.333333\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$398$$ 0 0
$$399$$ 0 0
$$400$$ 1.00000 1.00000
$$401$$ 0.500000 + 0.866025i 0.500000 + 0.866025i 1.00000 $$0$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$402$$ 0 0
$$403$$ 0 0
$$404$$ 0 0
$$405$$ −1.00000 −1.00000
$$406$$ 0 0
$$407$$ −1.00000 −1.00000
$$408$$ 0 0
$$409$$ −1.00000 + 1.73205i −1.00000 + 1.73205i −0.500000 + 0.866025i $$0.666667\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$410$$ 0.500000 0.866025i 0.500000 0.866025i
$$411$$ 0 0
$$412$$ −2.00000 −2.00000
$$413$$ 1.00000 1.73205i 1.00000 1.73205i
$$414$$ −1.00000 −1.00000
$$415$$ 0 0
$$416$$ 0.500000 0.866025i 0.500000 0.866025i
$$417$$ 0 0
$$418$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$419$$ −1.00000 −1.00000 −0.500000 0.866025i $$-0.666667\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$420$$ 0 0
$$421$$ 0 0 1.00000 $$0$$
−1.00000 $$\pi$$
$$422$$ −0.500000 0.866025i −0.500000 0.866025i
$$423$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$424$$ 0.500000 0.866025i 0.500000 0.866025i
$$425$$ 0 0
$$426$$ 0 0
$$427$$ 0 0
$$428$$ 0 0
$$429$$ 0 0
$$430$$ 0 0
$$431$$ 0 0 0.500000 0.866025i $$-0.333333\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$432$$ 0 0
$$433$$ 0 0 1.00000 $$0$$
−1.00000 $$\pi$$
$$434$$ 0 0
$$435$$ 0 0
$$436$$ 0 0
$$437$$ 0.500000 0.866025i 0.500000 0.866025i
$$438$$ 0 0
$$439$$ 0 0 −0.500000 0.866025i $$-0.666667\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$440$$ −1.00000 −1.00000
$$441$$ −0.500000 0.866025i −0.500000 0.866025i
$$442$$ 0 0
$$443$$ 0 0 −0.500000 0.866025i $$-0.666667\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$444$$ 0 0
$$445$$ 1.00000 1.73205i 1.00000 1.73205i
$$446$$ −1.00000 1.73205i −1.00000 1.73205i
$$447$$ 0 0
$$448$$ −1.00000 −1.00000
$$449$$ −1.00000 −1.00000 −0.500000 0.866025i $$-0.666667\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$450$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$451$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$452$$ 0 0
$$453$$ 0 0
$$454$$ 0 0
$$455$$ −0.500000 0.866025i −0.500000 0.866025i
$$456$$ 0 0
$$457$$ 0 0 −0.500000 0.866025i $$-0.666667\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$458$$ 0 0
$$459$$ 0 0
$$460$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$461$$ 0 0 1.00000 $$0$$
−1.00000 $$\pi$$
$$462$$ 0 0
$$463$$ 1.00000 1.00000 0.500000 0.866025i $$-0.333333\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$464$$ 0 0
$$465$$ 0 0
$$466$$ 0 0
$$467$$ 0 0 −0.500000 0.866025i $$-0.666667\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$468$$ 1.00000 1.00000
$$469$$ 0 0
$$470$$ 1.00000 1.00000
$$471$$ 0 0
$$472$$ 1.00000 1.73205i 1.00000 1.73205i
$$473$$ 0 0
$$474$$ 0 0
$$475$$ −1.00000 −1.00000
$$476$$ 0 0
$$477$$ 1.00000 1.00000
$$478$$ 0 0
$$479$$ 0 0 0.500000 0.866025i $$-0.333333\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$480$$ 0 0
$$481$$ −0.500000 0.866025i −0.500000 0.866025i
$$482$$ 1.00000 1.00000
$$483$$ 0 0
$$484$$ 0 0
$$485$$ 0 0
$$486$$ 0 0
$$487$$ 1.00000 1.73205i 1.00000 1.73205i 0.500000 0.866025i $$-0.333333\pi$$
0.500000 0.866025i $$-0.333333\pi$$
$$488$$ 0 0
$$489$$ 0 0
$$490$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$491$$ 2.00000 2.00000 1.00000 $$0$$
1.00000 $$0$$
$$492$$ 0 0
$$493$$ 0 0
$$494$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$495$$ −0.500000 0.866025i −0.500000 0.866025i
$$496$$ 0 0
$$497$$ 0 0
$$498$$ 0 0
$$499$$ −1.00000 1.73205i −1.00000 1.73205i −0.500000 0.866025i $$-0.666667\pi$$
−0.500000 0.866025i $$-0.666667\pi$$
$$500$$ 0.500000 0.866025i 0.500000 0.866025i
$$501$$ 0 0
$$502$$ −0.500000 0.866025i −0.500000 0.866025i
$$503$$ −2.00000 −2.00000 −1.00000 $$\pi$$
−1.00000 $$\pi$$
$$504$$ −0.500000 0.866025i −0.500000 0.866025i
$$505$$ 0 0
$$506$$ −0.500000 0.866025i −0.500000 0.866025i
$$507$$ 0 0
$$508$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$509$$ 0 0 −0.500000 0.866025i $$-0.666667\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$510$$ 0 0
$$511$$ 0 0
$$512$$ −1.00000 −1.00000
$$513$$ 0 0
$$514$$ 0 0
$$515$$ −1.00000 + 1.73205i −1.00000 + 1.73205i
$$516$$ 0 0
$$517$$ −1.00000 −1.00000
$$518$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$519$$ 0 0
$$520$$ −0.500000 0.866025i −0.500000 0.866025i
$$521$$ 0.500000 0.866025i 0.500000 0.866025i −0.500000 0.866025i $$-0.666667\pi$$
1.00000 $$0$$
$$522$$ 0 0
$$523$$ 0 0 −0.500000 0.866025i $$-0.666667\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$524$$ −1.00000 −1.00000
$$525$$ 0 0
$$526$$ 2.00000 2.00000
$$527$$ 0 0
$$528$$ 0 0
$$529$$ 0 0
$$530$$ −0.500000 0.866025i −0.500000 0.866025i
$$531$$ 2.00000 2.00000
$$532$$ 1.00000 1.00000
$$533$$ −1.00000 −1.00000
$$534$$ 0 0
$$535$$ 0 0
$$536$$ 0 0
$$537$$ 0 0
$$538$$ 0 0
$$539$$ 0.500000 0.866025i 0.500000 0.866025i
$$540$$ 0 0
$$541$$ 0 0 −0.500000 0.866025i $$-0.666667\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$542$$ 0 0
$$543$$ 0 0
$$544$$ 0 0
$$545$$ 0 0
$$546$$ 0 0
$$547$$ 0 0 1.00000 $$0$$
−1.00000 $$\pi$$
$$548$$ 0 0
$$549$$ 0 0
$$550$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$551$$ 0 0
$$552$$ 0 0
$$553$$ 0 0
$$554$$ 2.00000 2.00000
$$555$$ 0 0
$$556$$ −1.00000 + 1.73205i −1.00000 + 1.73205i
$$557$$ −0.500000 + 0.866025i −0.500000 + 0.866025i 0.500000 + 0.866025i $$0.333333\pi$$
−1.00000 $$\pi$$
$$558$$ 0 0
$$559$$ 0 0
$$560$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$561$$ 0 0
$$562$$ −0.500000 0.866025i −0.500000 0.866025i
$$563$$ 0 0 0.500000 0.866025i $$-0.333333\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$564$$ 0 0
$$565$$ 0 0
$$566$$ 0 0
$$567$$ 0.500000 0.866025i 0.500000 0.866025i
$$568$$ 0 0
$$569$$ 0.500000 + 0.866025i 0.500000 + 0.866025i 1.00000 $$0$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$570$$ 0 0
$$571$$ −1.00000 + 1.73205i −1.00000 + 1.73205i −0.500000 + 0.866025i $$0.666667\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$572$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$573$$ 0 0
$$574$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$575$$ 1.00000 1.00000
$$576$$ −0.500000 0.866025i −0.500000 0.866025i
$$577$$ 0 0 0.500000 0.866025i $$-0.333333\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$578$$ 0.500000 0.866025i 0.500000 0.866025i
$$579$$ 0 0
$$580$$ 0 0
$$581$$ 0 0
$$582$$ 0 0
$$583$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$584$$ 0 0
$$585$$ 0.500000 0.866025i 0.500000 0.866025i
$$586$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$587$$ 0 0 1.00000 $$0$$
−1.00000 $$\pi$$
$$588$$ 0 0
$$589$$ 0 0
$$590$$ −1.00000 1.73205i −1.00000 1.73205i
$$591$$ 0 0
$$592$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$593$$ 0 0 −0.500000 0.866025i $$-0.666667\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$594$$ 0 0
$$595$$ 0 0
$$596$$ 0 0
$$597$$ 0 0
$$598$$ 0.500000 0.866025i 0.500000 0.866025i
$$599$$ 0 0 0.500000 0.866025i $$-0.333333\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$600$$ 0 0
$$601$$ 2.00000 2.00000 1.00000 $$0$$
1.00000 $$0$$
$$602$$ 0 0
$$603$$ 0 0
$$604$$ 0 0
$$605$$ 0 0
$$606$$ 0 0
$$607$$ −0.500000 0.866025i −0.500000 0.866025i 0.500000 0.866025i $$-0.333333\pi$$
−1.00000 $$\pi$$
$$608$$ 1.00000 1.00000
$$609$$ 0 0
$$610$$ 0 0
$$611$$ −0.500000 0.866025i −0.500000 0.866025i
$$612$$ 0 0
$$613$$ −0.500000 + 0.866025i −0.500000 + 0.866025i 0.500000 + 0.866025i $$0.333333\pi$$
−1.00000 $$\pi$$
$$614$$ 0 0
$$615$$ 0 0
$$616$$ 0.500000 0.866025i 0.500000 0.866025i
$$617$$ 0 0 1.00000 $$0$$
−1.00000 $$\pi$$
$$618$$ 0 0
$$619$$ 0.500000 0.866025i 0.500000 0.866025i −0.500000 0.866025i $$-0.666667\pi$$
1.00000 $$0$$
$$620$$ 0 0
$$621$$ 0 0
$$622$$ 0 0
$$623$$ 1.00000 + 1.73205i 1.00000 + 1.73205i
$$624$$ 0 0
$$625$$ −0.500000 0.866025i −0.500000 0.866025i
$$626$$ 0 0
$$627$$ 0 0
$$628$$ −0.500000 0.866025i −0.500000 0.866025i
$$629$$ 0 0
$$630$$ −1.00000 −1.00000
$$631$$ 0 0 1.00000 $$0$$
−1.00000 $$\pi$$
$$632$$ 0 0
$$633$$ 0 0
$$634$$ −1.00000 + 1.73205i −1.00000 + 1.73205i
$$635$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$636$$ 0 0
$$637$$ 1.00000 1.00000
$$638$$ 0 0
$$639$$ 0 0
$$640$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$641$$ 0.500000 0.866025i 0.500000 0.866025i −0.500000 0.866025i $$-0.666667\pi$$
1.00000 $$0$$
$$642$$ 0 0
$$643$$ 0 0 1.00000 $$0$$
−1.00000 $$\pi$$
$$644$$ −1.00000 −1.00000
$$645$$ 0 0
$$646$$ 0 0
$$647$$ −0.500000 + 0.866025i −0.500000 + 0.866025i 0.500000 + 0.866025i $$0.333333\pi$$
−1.00000 $$\pi$$
$$648$$ 0.500000 0.866025i 0.500000 0.866025i
$$649$$ 1.00000 + 1.73205i 1.00000 + 1.73205i
$$650$$ −1.00000 −1.00000
$$651$$ 0 0
$$652$$ 0 0
$$653$$ −0.500000 0.866025i −0.500000 0.866025i 0.500000 0.866025i $$-0.333333\pi$$
−1.00000 $$\pi$$
$$654$$ 0 0
$$655$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$656$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$657$$ 0 0
$$658$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$659$$ 2.00000 2.00000 1.00000 $$0$$
1.00000 $$0$$
$$660$$ 0 0
$$661$$ 0 0 0.500000 0.866025i $$-0.333333\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$662$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$663$$ 0 0
$$664$$ 0 0
$$665$$ 0.500000 0.866025i 0.500000 0.866025i
$$666$$ −1.00000 −1.00000
$$667$$ 0 0
$$668$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$669$$ 0 0
$$670$$ 0 0
$$671$$ 0 0
$$672$$ 0 0
$$673$$ 0 0 1.00000 $$0$$
−1.00000 $$\pi$$
$$674$$ 0 0
$$675$$ 0 0
$$676$$ 0 0
$$677$$ −0.500000 0.866025i −0.500000 0.866025i 0.500000 0.866025i $$-0.333333\pi$$
−1.00000 $$\pi$$
$$678$$ 0 0
$$679$$ 0 0
$$680$$ 0 0
$$681$$ 0 0
$$682$$ 0 0
$$683$$ 0 0 0.500000 0.866025i $$-0.333333\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$684$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$685$$ 0 0
$$686$$ −0.500000 0.866025i −0.500000 0.866025i
$$687$$ 0 0
$$688$$ 0 0
$$689$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$690$$ 0 0
$$691$$ −1.00000 1.73205i −1.00000 1.73205i −0.500000 0.866025i $$-0.666667\pi$$
−0.500000 0.866025i $$-0.666667\pi$$
$$692$$ 1.00000 1.00000
$$693$$ 1.00000 1.00000
$$694$$ 0 0
$$695$$ 1.00000 + 1.73205i 1.00000 + 1.73205i
$$696$$ 0 0
$$697$$ 0 0
$$698$$ 0 0
$$699$$ 0 0
$$700$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$701$$ 0 0 1.00000 $$0$$
−1.00000 $$\pi$$
$$702$$ 0 0
$$703$$ 0.500000 0.866025i 0.500000 0.866025i
$$704$$ 0.500000 0.866025i 0.500000 0.866025i
$$705$$ 0 0
$$706$$ 0 0
$$707$$ 0 0
$$708$$ 0 0
$$709$$ 0 0 −0.500000 0.866025i $$-0.666667\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$710$$ 0 0
$$711$$ 0 0
$$712$$ 1.00000 + 1.73205i 1.00000 + 1.73205i
$$713$$ 0 0
$$714$$ 0 0
$$715$$ 1.00000 1.00000
$$716$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$717$$ 0 0
$$718$$ 0 0
$$719$$ 0 0 −0.500000 0.866025i $$-0.666667\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$720$$ −1.00000 −1.00000
$$721$$ −1.00000 1.73205i −1.00000 1.73205i
$$722$$ 0 0
$$723$$ 0 0
$$724$$ 0 0
$$725$$ 0 0
$$726$$ 0 0
$$727$$ 1.00000 1.00000 0.500000 0.866025i $$-0.333333\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$728$$ 1.00000 1.00000
$$729$$ 1.00000 1.00000
$$730$$ 0 0
$$731$$ 0 0
$$732$$ 0 0
$$733$$ −0.500000 0.866025i −0.500000 0.866025i 0.500000 0.866025i $$-0.333333\pi$$
−1.00000 $$\pi$$
$$734$$ −1.00000 −1.00000
$$735$$ 0 0
$$736$$ −1.00000 −1.00000
$$737$$ 0 0
$$738$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$739$$ 0.500000 0.866025i 0.500000 0.866025i −0.500000 0.866025i $$-0.666667\pi$$
1.00000 $$0$$
$$740$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$741$$ 0 0
$$742$$ 1.00000 1.00000
$$743$$ 1.00000 1.00000 0.500000 0.866025i $$-0.333333\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$744$$ 0 0
$$745$$ 0 0
$$746$$ −1.00000 + 1.73205i −1.00000 + 1.73205i
$$747$$ 0 0
$$748$$ 0 0
$$749$$ 0 0
$$750$$ 0 0
$$751$$ 0 0 −0.500000 0.866025i $$-0.666667\pi$$
0.500000 + 0.866025i $$0.333333\pi$$
$$752$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$753$$ 0 0
$$754$$ 0 0
$$755$$ 0 0
$$756$$ 0 0
$$757$$ −2.00000 −2.00000 −1.00000 $$\pi$$
−1.00000 $$\pi$$
$$758$$ −0.500000 0.866025i −0.500000 0.866025i
$$759$$ 0 0
$$760$$ 0.500000 0.866025i 0.500000 0.866025i
$$761$$ 0.500000 + 0.866025i 0.500000 + 0.866025i 1.00000 $$0$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$762$$ 0 0
$$763$$ 0 0
$$764$$ 0 0
$$765$$ 0 0
$$766$$ 0.500000 0.866025i 0.500000 0.866025i
$$767$$ −1.00000 + 1.73205i −1.00000 + 1.73205i
$$768$$ 0 0
$$769$$ −1.00000 −1.00000 −0.500000 0.866025i $$-0.666667\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$770$$ −0.500000 0.866025i −0.500000 0.866025i
$$771$$ 0 0
$$772$$ 0 0
$$773$$ −0.500000 + 0.866025i −0.500000 + 0.866025i 0.500000 + 0.866025i $$0.333333\pi$$
−1.00000 $$\pi$$
$$774$$ 0 0
$$775$$ 0 0
$$776$$ 0 0
$$777$$ 0 0
$$778$$ 0 0
$$779$$ −0.500000 0.866025i −0.500000 0.866025i
$$780$$ 0 0
$$781$$ 0 0
$$782$$ 0 0
$$783$$ 0 0
$$784$$ −0.500000 0.866025i −0.500000 0.866025i
$$785$$ −1.00000 −1.00000
$$786$$ 0 0
$$787$$ 0 0 0.500000 0.866025i $$-0.333333\pi$$
−0.500000 + 0.866025i $$0.666667\pi$$
$$788$$ −0.500000 + 0.866025i −0.500000 + 0.866025i
$$789$$ 0 0
$$790$$ 0 0
$$791$$ 0 0
$$792$$ 1.00000 1.00000
$$793$$ 0 0
$$794$$ −1.00000 + 1.73205i −1.00000 + 1.73205i
$$795$$ 0 0
$$796$$ 0 0
$$797$$ −2.00000 −2.00000 −1.00000 $$\pi$$
−1.00000 $$\pi$$
$$798$$ 0 0
$$799$$ 0 0
$$800$$ 0.500000 + 0.866025i 0.500000 + 0.866025i
$$801$$ −1.00000 + 1.73205i