Properties

Label 3332.1.be.a.2787.1
Level $3332$
Weight $1$
Character 3332.2787
Analytic conductor $1.663$
Analytic rank $0$
Dimension $6$
Projective image $D_{7}$
CM discriminant -68
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 3332 = 2^{2} \cdot 7^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 3332.be (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.66288462209\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{14})\)
Defining polynomial: \( x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Projective image: \(D_{7}\)
Projective field: Galois closure of \(\mathbb{Q}[x]/(x^{7} - \cdots)\)

Embedding invariants

Embedding label 2787.1
Root \(0.222521 + 0.974928i\) of defining polynomial
Character \(\chi\) \(=\) 3332.2787
Dual form 3332.1.be.a.2311.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.623490 - 0.781831i) q^{2} +(-1.62349 - 0.781831i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(-1.62349 + 0.781831i) q^{6} +(0.900969 + 0.433884i) q^{7} +(-0.900969 - 0.433884i) q^{8} +(1.40097 + 1.75676i) q^{9} +O(q^{10})\) \(q+(0.623490 - 0.781831i) q^{2} +(-1.62349 - 0.781831i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(-1.62349 + 0.781831i) q^{6} +(0.900969 + 0.433884i) q^{7} +(-0.900969 - 0.433884i) q^{8} +(1.40097 + 1.75676i) q^{9} +(-0.777479 + 0.974928i) q^{11} +(-0.400969 + 1.75676i) q^{12} +(0.777479 - 0.974928i) q^{13} +(0.900969 - 0.433884i) q^{14} +(-0.900969 + 0.433884i) q^{16} +(-0.222521 + 0.974928i) q^{17} +2.24698 q^{18} +(-1.12349 - 1.40881i) q^{21} +(0.277479 + 1.21572i) q^{22} +(0.277479 + 1.21572i) q^{23} +(1.12349 + 1.40881i) q^{24} +(0.623490 + 0.781831i) q^{25} +(-0.277479 - 1.21572i) q^{26} +(-0.500000 - 2.19064i) q^{27} +(0.222521 - 0.974928i) q^{28} +1.80194 q^{31} +(-0.222521 + 0.974928i) q^{32} +(2.02446 - 0.974928i) q^{33} +(0.623490 + 0.781831i) q^{34} +(1.40097 - 1.75676i) q^{36} +(-2.02446 + 0.974928i) q^{39} -1.80194 q^{42} +(1.12349 + 0.541044i) q^{44} +(1.12349 + 0.541044i) q^{46} +1.80194 q^{48} +(0.623490 + 0.781831i) q^{49} +1.00000 q^{50} +(1.12349 - 1.40881i) q^{51} +(-1.12349 - 0.541044i) q^{52} +(0.400969 + 1.75676i) q^{53} +(-2.02446 - 0.974928i) q^{54} +(-0.623490 - 0.781831i) q^{56} +(1.12349 - 1.40881i) q^{62} +(0.500000 + 2.19064i) q^{63} +(0.623490 + 0.781831i) q^{64} +(0.500000 - 2.19064i) q^{66} +1.00000 q^{68} +(0.500000 - 2.19064i) q^{69} +(-0.400969 - 1.75676i) q^{71} +(-0.500000 - 2.19064i) q^{72} +(-0.400969 - 1.75676i) q^{75} +(-1.12349 + 0.541044i) q^{77} +(-0.500000 + 2.19064i) q^{78} -1.24698 q^{79} +(-0.400969 + 1.75676i) q^{81} +(-1.12349 + 1.40881i) q^{84} +(1.12349 - 0.541044i) q^{88} +(-1.12349 - 1.40881i) q^{89} +(1.12349 - 0.541044i) q^{91} +(1.12349 - 0.541044i) q^{92} +(-2.92543 - 1.40881i) q^{93} +(1.12349 - 1.40881i) q^{96} +1.00000 q^{98} -2.80194 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6 q - q^{2} - 5 q^{3} - q^{4} - 5 q^{6} + q^{7} - q^{8} + 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 6 q - q^{2} - 5 q^{3} - q^{4} - 5 q^{6} + q^{7} - q^{8} + 4 q^{9} - 5 q^{11} + 2 q^{12} + 5 q^{13} + q^{14} - q^{16} - q^{17} + 4 q^{18} - 2 q^{21} + 2 q^{22} + 2 q^{23} + 2 q^{24} - q^{25} - 2 q^{26} - 3 q^{27} + q^{28} + 2 q^{31} - q^{32} + 3 q^{33} - q^{34} + 4 q^{36} - 3 q^{39} - 2 q^{42} + 2 q^{44} + 2 q^{46} + 2 q^{48} - q^{49} + 6 q^{50} + 2 q^{51} - 2 q^{52} - 2 q^{53} - 3 q^{54} + q^{56} + 2 q^{62} + 3 q^{63} - q^{64} + 3 q^{66} + 6 q^{68} + 3 q^{69} + 2 q^{71} - 3 q^{72} + 2 q^{75} - 2 q^{77} - 3 q^{78} + 2 q^{79} + 2 q^{81} - 2 q^{84} + 2 q^{88} - 2 q^{89} + 2 q^{91} + 2 q^{92} - 4 q^{93} + 2 q^{96} + 6 q^{98} - 8 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/3332\mathbb{Z}\right)^\times\).

\(n\) \(785\) \(885\) \(1667\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{7}\right)\) \(-1\)

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 \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.623490 0.781831i 0.623490 0.781831i
\(3\) −1.62349 0.781831i −1.62349 0.781831i −0.623490 0.781831i \(-0.714286\pi\)
−1.00000 \(\pi\)
\(4\) −0.222521 0.974928i −0.222521 0.974928i
\(5\) 0 0 −0.900969 0.433884i \(-0.857143\pi\)
0.900969 + 0.433884i \(0.142857\pi\)
\(6\) −1.62349 + 0.781831i −1.62349 + 0.781831i
\(7\) 0.900969 + 0.433884i 0.900969 + 0.433884i
\(8\) −0.900969 0.433884i −0.900969 0.433884i
\(9\) 1.40097 + 1.75676i 1.40097 + 1.75676i
\(10\) 0 0
\(11\) −0.777479 + 0.974928i −0.777479 + 0.974928i 0.222521 + 0.974928i \(0.428571\pi\)
−1.00000 \(\pi\)
\(12\) −0.400969 + 1.75676i −0.400969 + 1.75676i
\(13\) 0.777479 0.974928i 0.777479 0.974928i −0.222521 0.974928i \(-0.571429\pi\)
1.00000 \(0\)
\(14\) 0.900969 0.433884i 0.900969 0.433884i
\(15\) 0 0
\(16\) −0.900969 + 0.433884i −0.900969 + 0.433884i
\(17\) −0.222521 + 0.974928i −0.222521 + 0.974928i
\(18\) 2.24698 2.24698
\(19\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(20\) 0 0
\(21\) −1.12349 1.40881i −1.12349 1.40881i
\(22\) 0.277479 + 1.21572i 0.277479 + 1.21572i
\(23\) 0.277479 + 1.21572i 0.277479 + 1.21572i 0.900969 + 0.433884i \(0.142857\pi\)
−0.623490 + 0.781831i \(0.714286\pi\)
\(24\) 1.12349 + 1.40881i 1.12349 + 1.40881i
\(25\) 0.623490 + 0.781831i 0.623490 + 0.781831i
\(26\) −0.277479 1.21572i −0.277479 1.21572i
\(27\) −0.500000 2.19064i −0.500000 2.19064i
\(28\) 0.222521 0.974928i 0.222521 0.974928i
\(29\) 0 0 0.222521 0.974928i \(-0.428571\pi\)
−0.222521 + 0.974928i \(0.571429\pi\)
\(30\) 0 0
\(31\) 1.80194 1.80194 0.900969 0.433884i \(-0.142857\pi\)
0.900969 + 0.433884i \(0.142857\pi\)
\(32\) −0.222521 + 0.974928i −0.222521 + 0.974928i
\(33\) 2.02446 0.974928i 2.02446 0.974928i
\(34\) 0.623490 + 0.781831i 0.623490 + 0.781831i
\(35\) 0 0
\(36\) 1.40097 1.75676i 1.40097 1.75676i
\(37\) 0 0 0.222521 0.974928i \(-0.428571\pi\)
−0.222521 + 0.974928i \(0.571429\pi\)
\(38\) 0 0
\(39\) −2.02446 + 0.974928i −2.02446 + 0.974928i
\(40\) 0 0
\(41\) 0 0 −0.900969 0.433884i \(-0.857143\pi\)
0.900969 + 0.433884i \(0.142857\pi\)
\(42\) −1.80194 −1.80194
\(43\) 0 0 0.900969 0.433884i \(-0.142857\pi\)
−0.900969 + 0.433884i \(0.857143\pi\)
\(44\) 1.12349 + 0.541044i 1.12349 + 0.541044i
\(45\) 0 0
\(46\) 1.12349 + 0.541044i 1.12349 + 0.541044i
\(47\) 0 0 0.623490 0.781831i \(-0.285714\pi\)
−0.623490 + 0.781831i \(0.714286\pi\)
\(48\) 1.80194 1.80194
\(49\) 0.623490 + 0.781831i 0.623490 + 0.781831i
\(50\) 1.00000 1.00000
\(51\) 1.12349 1.40881i 1.12349 1.40881i
\(52\) −1.12349 0.541044i −1.12349 0.541044i
\(53\) 0.400969 + 1.75676i 0.400969 + 1.75676i 0.623490 + 0.781831i \(0.285714\pi\)
−0.222521 + 0.974928i \(0.571429\pi\)
\(54\) −2.02446 0.974928i −2.02446 0.974928i
\(55\) 0 0
\(56\) −0.623490 0.781831i −0.623490 0.781831i
\(57\) 0 0
\(58\) 0 0
\(59\) 0 0 0.900969 0.433884i \(-0.142857\pi\)
−0.900969 + 0.433884i \(0.857143\pi\)
\(60\) 0 0
\(61\) 0 0 0.222521 0.974928i \(-0.428571\pi\)
−0.222521 + 0.974928i \(0.571429\pi\)
\(62\) 1.12349 1.40881i 1.12349 1.40881i
\(63\) 0.500000 + 2.19064i 0.500000 + 2.19064i
\(64\) 0.623490 + 0.781831i 0.623490 + 0.781831i
\(65\) 0 0
\(66\) 0.500000 2.19064i 0.500000 2.19064i
\(67\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(68\) 1.00000 1.00000
\(69\) 0.500000 2.19064i 0.500000 2.19064i
\(70\) 0 0
\(71\) −0.400969 1.75676i −0.400969 1.75676i −0.623490 0.781831i \(-0.714286\pi\)
0.222521 0.974928i \(-0.428571\pi\)
\(72\) −0.500000 2.19064i −0.500000 2.19064i
\(73\) 0 0 −0.623490 0.781831i \(-0.714286\pi\)
0.623490 + 0.781831i \(0.285714\pi\)
\(74\) 0 0
\(75\) −0.400969 1.75676i −0.400969 1.75676i
\(76\) 0 0
\(77\) −1.12349 + 0.541044i −1.12349 + 0.541044i
\(78\) −0.500000 + 2.19064i −0.500000 + 2.19064i
\(79\) −1.24698 −1.24698 −0.623490 0.781831i \(-0.714286\pi\)
−0.623490 + 0.781831i \(0.714286\pi\)
\(80\) 0 0
\(81\) −0.400969 + 1.75676i −0.400969 + 1.75676i
\(82\) 0 0
\(83\) 0 0 −0.623490 0.781831i \(-0.714286\pi\)
0.623490 + 0.781831i \(0.285714\pi\)
\(84\) −1.12349 + 1.40881i −1.12349 + 1.40881i
\(85\) 0 0
\(86\) 0 0
\(87\) 0 0
\(88\) 1.12349 0.541044i 1.12349 0.541044i
\(89\) −1.12349 1.40881i −1.12349 1.40881i −0.900969 0.433884i \(-0.857143\pi\)
−0.222521 0.974928i \(-0.571429\pi\)
\(90\) 0 0
\(91\) 1.12349 0.541044i 1.12349 0.541044i
\(92\) 1.12349 0.541044i 1.12349 0.541044i
\(93\) −2.92543 1.40881i −2.92543 1.40881i
\(94\) 0 0
\(95\) 0 0
\(96\) 1.12349 1.40881i 1.12349 1.40881i
\(97\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(98\) 1.00000 1.00000
\(99\) −2.80194 −2.80194
\(100\) 0.623490 0.781831i 0.623490 0.781831i
\(101\) −1.12349 0.541044i −1.12349 0.541044i −0.222521 0.974928i \(-0.571429\pi\)
−0.900969 + 0.433884i \(0.857143\pi\)
\(102\) −0.400969 1.75676i −0.400969 1.75676i
\(103\) 0 0 −0.900969 0.433884i \(-0.857143\pi\)
0.900969 + 0.433884i \(0.142857\pi\)
\(104\) −1.12349 + 0.541044i −1.12349 + 0.541044i
\(105\) 0 0
\(106\) 1.62349 + 0.781831i 1.62349 + 0.781831i
\(107\) 0.277479 + 0.347948i 0.277479 + 0.347948i 0.900969 0.433884i \(-0.142857\pi\)
−0.623490 + 0.781831i \(0.714286\pi\)
\(108\) −2.02446 + 0.974928i −2.02446 + 0.974928i
\(109\) 0 0 0.623490 0.781831i \(-0.285714\pi\)
−0.623490 + 0.781831i \(0.714286\pi\)
\(110\) 0 0
\(111\) 0 0
\(112\) −1.00000 −1.00000
\(113\) 0 0 −0.623490 0.781831i \(-0.714286\pi\)
0.623490 + 0.781831i \(0.285714\pi\)
\(114\) 0 0
\(115\) 0 0
\(116\) 0 0
\(117\) 2.80194 2.80194
\(118\) 0 0
\(119\) −0.623490 + 0.781831i −0.623490 + 0.781831i
\(120\) 0 0
\(121\) −0.123490 0.541044i −0.123490 0.541044i
\(122\) 0 0
\(123\) 0 0
\(124\) −0.400969 1.75676i −0.400969 1.75676i
\(125\) 0 0
\(126\) 2.02446 + 0.974928i 2.02446 + 0.974928i
\(127\) 0 0 0.222521 0.974928i \(-0.428571\pi\)
−0.222521 + 0.974928i \(0.571429\pi\)
\(128\) 1.00000 1.00000
\(129\) 0 0
\(130\) 0 0
\(131\) 1.12349 0.541044i 1.12349 0.541044i 0.222521 0.974928i \(-0.428571\pi\)
0.900969 + 0.433884i \(0.142857\pi\)
\(132\) −1.40097 1.75676i −1.40097 1.75676i
\(133\) 0 0
\(134\) 0 0
\(135\) 0 0
\(136\) 0.623490 0.781831i 0.623490 0.781831i
\(137\) 1.62349 0.781831i 1.62349 0.781831i 0.623490 0.781831i \(-0.285714\pi\)
1.00000 \(0\)
\(138\) −1.40097 1.75676i −1.40097 1.75676i
\(139\) 1.12349 + 0.541044i 1.12349 + 0.541044i 0.900969 0.433884i \(-0.142857\pi\)
0.222521 + 0.974928i \(0.428571\pi\)
\(140\) 0 0
\(141\) 0 0
\(142\) −1.62349 0.781831i −1.62349 0.781831i
\(143\) 0.346011 + 1.51597i 0.346011 + 1.51597i
\(144\) −2.02446 0.974928i −2.02446 0.974928i
\(145\) 0 0
\(146\) 0 0
\(147\) −0.400969 1.75676i −0.400969 1.75676i
\(148\) 0 0
\(149\) −1.12349 + 1.40881i −1.12349 + 1.40881i −0.222521 + 0.974928i \(0.571429\pi\)
−0.900969 + 0.433884i \(0.857143\pi\)
\(150\) −1.62349 0.781831i −1.62349 0.781831i
\(151\) 0 0 −0.222521 0.974928i \(-0.571429\pi\)
0.222521 + 0.974928i \(0.428571\pi\)
\(152\) 0 0
\(153\) −2.02446 + 0.974928i −2.02446 + 0.974928i
\(154\) −0.277479 + 1.21572i −0.277479 + 1.21572i
\(155\) 0 0
\(156\) 1.40097 + 1.75676i 1.40097 + 1.75676i
\(157\) −1.12349 + 0.541044i −1.12349 + 0.541044i −0.900969 0.433884i \(-0.857143\pi\)
−0.222521 + 0.974928i \(0.571429\pi\)
\(158\) −0.777479 + 0.974928i −0.777479 + 0.974928i
\(159\) 0.722521 3.16557i 0.722521 3.16557i
\(160\) 0 0
\(161\) −0.277479 + 1.21572i −0.277479 + 1.21572i
\(162\) 1.12349 + 1.40881i 1.12349 + 1.40881i
\(163\) 1.80194 0.867767i 1.80194 0.867767i 0.900969 0.433884i \(-0.142857\pi\)
0.900969 0.433884i \(-0.142857\pi\)
\(164\) 0 0
\(165\) 0 0
\(166\) 0 0
\(167\) −0.0990311 + 0.433884i −0.0990311 + 0.433884i 0.900969 + 0.433884i \(0.142857\pi\)
−1.00000 \(\pi\)
\(168\) 0.400969 + 1.75676i 0.400969 + 1.75676i
\(169\) −0.123490 0.541044i −0.123490 0.541044i
\(170\) 0 0
\(171\) 0 0
\(172\) 0 0
\(173\) 0 0 −0.222521 0.974928i \(-0.571429\pi\)
0.222521 + 0.974928i \(0.428571\pi\)
\(174\) 0 0
\(175\) 0.222521 + 0.974928i 0.222521 + 0.974928i
\(176\) 0.277479 1.21572i 0.277479 1.21572i
\(177\) 0 0
\(178\) −1.80194 −1.80194
\(179\) 0 0 0.222521 0.974928i \(-0.428571\pi\)
−0.222521 + 0.974928i \(0.571429\pi\)
\(180\) 0 0
\(181\) 0 0 −0.623490 0.781831i \(-0.714286\pi\)
0.623490 + 0.781831i \(0.285714\pi\)
\(182\) 0.277479 1.21572i 0.277479 1.21572i
\(183\) 0 0
\(184\) 0.277479 1.21572i 0.277479 1.21572i
\(185\) 0 0
\(186\) −2.92543 + 1.40881i −2.92543 + 1.40881i
\(187\) −0.777479 0.974928i −0.777479 0.974928i
\(188\) 0 0
\(189\) 0.500000 2.19064i 0.500000 2.19064i
\(190\) 0 0
\(191\) 0 0 −0.900969 0.433884i \(-0.857143\pi\)
0.900969 + 0.433884i \(0.142857\pi\)
\(192\) −0.400969 1.75676i −0.400969 1.75676i
\(193\) 0 0 −0.900969 0.433884i \(-0.857143\pi\)
0.900969 + 0.433884i \(0.142857\pi\)
\(194\) 0 0
\(195\) 0 0
\(196\) 0.623490 0.781831i 0.623490 0.781831i
\(197\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(198\) −1.74698 + 2.19064i −1.74698 + 2.19064i
\(199\) −1.62349 0.781831i −1.62349 0.781831i −0.623490 0.781831i \(-0.714286\pi\)
−1.00000 \(\pi\)
\(200\) −0.222521 0.974928i −0.222521 0.974928i
\(201\) 0 0
\(202\) −1.12349 + 0.541044i −1.12349 + 0.541044i
\(203\) 0 0
\(204\) −1.62349 0.781831i −1.62349 0.781831i
\(205\) 0 0
\(206\) 0 0
\(207\) −1.74698 + 2.19064i −1.74698 + 2.19064i
\(208\) −0.277479 + 1.21572i −0.277479 + 1.21572i
\(209\) 0 0
\(210\) 0 0
\(211\) 0.277479 + 0.347948i 0.277479 + 0.347948i 0.900969 0.433884i \(-0.142857\pi\)
−0.623490 + 0.781831i \(0.714286\pi\)
\(212\) 1.62349 0.781831i 1.62349 0.781831i
\(213\) −0.722521 + 3.16557i −0.722521 + 3.16557i
\(214\) 0.445042 0.445042
\(215\) 0 0
\(216\) −0.500000 + 2.19064i −0.500000 + 2.19064i
\(217\) 1.62349 + 0.781831i 1.62349 + 0.781831i
\(218\) 0 0
\(219\) 0 0
\(220\) 0 0
\(221\) 0.777479 + 0.974928i 0.777479 + 0.974928i
\(222\) 0 0
\(223\) 0 0 −0.222521 0.974928i \(-0.571429\pi\)
0.222521 + 0.974928i \(0.428571\pi\)
\(224\) −0.623490 + 0.781831i −0.623490 + 0.781831i
\(225\) −0.500000 + 2.19064i −0.500000 + 2.19064i
\(226\) 0 0
\(227\) 1.80194 1.80194 0.900969 0.433884i \(-0.142857\pi\)
0.900969 + 0.433884i \(0.142857\pi\)
\(228\) 0 0
\(229\) 0.400969 0.193096i 0.400969 0.193096i −0.222521 0.974928i \(-0.571429\pi\)
0.623490 + 0.781831i \(0.285714\pi\)
\(230\) 0 0
\(231\) 2.24698 2.24698
\(232\) 0 0
\(233\) 0 0 0.222521 0.974928i \(-0.428571\pi\)
−0.222521 + 0.974928i \(0.571429\pi\)
\(234\) 1.74698 2.19064i 1.74698 2.19064i
\(235\) 0 0
\(236\) 0 0
\(237\) 2.02446 + 0.974928i 2.02446 + 0.974928i
\(238\) 0.222521 + 0.974928i 0.222521 + 0.974928i
\(239\) 0 0 0.900969 0.433884i \(-0.142857\pi\)
−0.900969 + 0.433884i \(0.857143\pi\)
\(240\) 0 0
\(241\) 0 0 −0.222521 0.974928i \(-0.571429\pi\)
0.222521 + 0.974928i \(0.428571\pi\)
\(242\) −0.500000 0.240787i −0.500000 0.240787i
\(243\) 0.623490 0.781831i 0.623490 0.781831i
\(244\) 0 0
\(245\) 0 0
\(246\) 0 0
\(247\) 0 0
\(248\) −1.62349 0.781831i −1.62349 0.781831i
\(249\) 0 0
\(250\) 0 0
\(251\) 0 0 0.900969 0.433884i \(-0.142857\pi\)
−0.900969 + 0.433884i \(0.857143\pi\)
\(252\) 2.02446 0.974928i 2.02446 0.974928i
\(253\) −1.40097 0.674671i −1.40097 0.674671i
\(254\) 0 0
\(255\) 0 0
\(256\) 0.623490 0.781831i 0.623490 0.781831i
\(257\) −0.445042 + 1.94986i −0.445042 + 1.94986i −0.222521 + 0.974928i \(0.571429\pi\)
−0.222521 + 0.974928i \(0.571429\pi\)
\(258\) 0 0
\(259\) 0 0
\(260\) 0 0
\(261\) 0 0
\(262\) 0.277479 1.21572i 0.277479 1.21572i
\(263\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(264\) −2.24698 −2.24698
\(265\) 0 0
\(266\) 0 0
\(267\) 0.722521 + 3.16557i 0.722521 + 3.16557i
\(268\) 0 0
\(269\) 0 0 −0.623490 0.781831i \(-0.714286\pi\)
0.623490 + 0.781831i \(0.285714\pi\)
\(270\) 0 0
\(271\) 0 0 −0.222521 0.974928i \(-0.571429\pi\)
0.222521 + 0.974928i \(0.428571\pi\)
\(272\) −0.222521 0.974928i −0.222521 0.974928i
\(273\) −2.24698 −2.24698
\(274\) 0.400969 1.75676i 0.400969 1.75676i
\(275\) −1.24698 −1.24698
\(276\) −2.24698 −2.24698
\(277\) 0 0 0.222521 0.974928i \(-0.428571\pi\)
−0.222521 + 0.974928i \(0.571429\pi\)
\(278\) 1.12349 0.541044i 1.12349 0.541044i
\(279\) 2.52446 + 3.16557i 2.52446 + 3.16557i
\(280\) 0 0
\(281\) 1.24698 1.56366i 1.24698 1.56366i 0.623490 0.781831i \(-0.285714\pi\)
0.623490 0.781831i \(-0.285714\pi\)
\(282\) 0 0
\(283\) −0.777479 + 0.974928i −0.777479 + 0.974928i 0.222521 + 0.974928i \(0.428571\pi\)
−1.00000 \(\pi\)
\(284\) −1.62349 + 0.781831i −1.62349 + 0.781831i
\(285\) 0 0
\(286\) 1.40097 + 0.674671i 1.40097 + 0.674671i
\(287\) 0 0
\(288\) −2.02446 + 0.974928i −2.02446 + 0.974928i
\(289\) −0.900969 0.433884i −0.900969 0.433884i
\(290\) 0 0
\(291\) 0 0
\(292\) 0 0
\(293\) 1.24698 1.24698 0.623490 0.781831i \(-0.285714\pi\)
0.623490 + 0.781831i \(0.285714\pi\)
\(294\) −1.62349 0.781831i −1.62349 0.781831i
\(295\) 0 0
\(296\) 0 0
\(297\) 2.52446 + 1.21572i 2.52446 + 1.21572i
\(298\) 0.400969 + 1.75676i 0.400969 + 1.75676i
\(299\) 1.40097 + 0.674671i 1.40097 + 0.674671i
\(300\) −1.62349 + 0.781831i −1.62349 + 0.781831i
\(301\) 0 0
\(302\) 0 0
\(303\) 1.40097 + 1.75676i 1.40097 + 1.75676i
\(304\) 0 0
\(305\) 0 0
\(306\) −0.500000 + 2.19064i −0.500000 + 2.19064i
\(307\) 0 0 0.623490 0.781831i \(-0.285714\pi\)
−0.623490 + 0.781831i \(0.714286\pi\)
\(308\) 0.777479 + 0.974928i 0.777479 + 0.974928i
\(309\) 0 0
\(310\) 0 0
\(311\) 0.445042 1.94986i 0.445042 1.94986i 0.222521 0.974928i \(-0.428571\pi\)
0.222521 0.974928i \(-0.428571\pi\)
\(312\) 2.24698 2.24698
\(313\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(314\) −0.277479 + 1.21572i −0.277479 + 1.21572i
\(315\) 0 0
\(316\) 0.277479 + 1.21572i 0.277479 + 1.21572i
\(317\) 0 0 −0.222521 0.974928i \(-0.571429\pi\)
0.222521 + 0.974928i \(0.428571\pi\)
\(318\) −2.02446 2.53859i −2.02446 2.53859i
\(319\) 0 0
\(320\) 0 0
\(321\) −0.178448 0.781831i −0.178448 0.781831i
\(322\) 0.777479 + 0.974928i 0.777479 + 0.974928i
\(323\) 0 0
\(324\) 1.80194 1.80194
\(325\) 1.24698 1.24698
\(326\) 0.445042 1.94986i 0.445042 1.94986i
\(327\) 0 0
\(328\) 0 0
\(329\) 0 0
\(330\) 0 0
\(331\) 0 0 0.222521 0.974928i \(-0.428571\pi\)
−0.222521 + 0.974928i \(0.571429\pi\)
\(332\) 0 0
\(333\) 0 0
\(334\) 0.277479 + 0.347948i 0.277479 + 0.347948i
\(335\) 0 0
\(336\) 1.62349 + 0.781831i 1.62349 + 0.781831i
\(337\) 0 0 0.900969 0.433884i \(-0.142857\pi\)
−0.900969 + 0.433884i \(0.857143\pi\)
\(338\) −0.500000 0.240787i −0.500000 0.240787i
\(339\) 0 0
\(340\) 0 0
\(341\) −1.40097 + 1.75676i −1.40097 + 1.75676i
\(342\) 0 0
\(343\) 0.222521 + 0.974928i 0.222521 + 0.974928i
\(344\) 0 0
\(345\) 0 0
\(346\) 0 0
\(347\) −0.0990311 0.433884i −0.0990311 0.433884i 0.900969 0.433884i \(-0.142857\pi\)
−1.00000 \(\pi\)
\(348\) 0 0
\(349\) 0.400969 0.193096i 0.400969 0.193096i −0.222521 0.974928i \(-0.571429\pi\)
0.623490 + 0.781831i \(0.285714\pi\)
\(350\) 0.900969 + 0.433884i 0.900969 + 0.433884i
\(351\) −2.52446 1.21572i −2.52446 1.21572i
\(352\) −0.777479 0.974928i −0.777479 0.974928i
\(353\) −1.80194 + 0.867767i −1.80194 + 0.867767i −0.900969 + 0.433884i \(0.857143\pi\)
−0.900969 + 0.433884i \(0.857143\pi\)
\(354\) 0 0
\(355\) 0 0
\(356\) −1.12349 + 1.40881i −1.12349 + 1.40881i
\(357\) 1.62349 0.781831i 1.62349 0.781831i
\(358\) 0 0
\(359\) 0 0 0.900969 0.433884i \(-0.142857\pi\)
−0.900969 + 0.433884i \(0.857143\pi\)
\(360\) 0 0
\(361\) 1.00000 1.00000
\(362\) 0 0
\(363\) −0.222521 + 0.974928i −0.222521 + 0.974928i
\(364\) −0.777479 0.974928i −0.777479 0.974928i
\(365\) 0 0
\(366\) 0 0
\(367\) 0.277479 + 0.347948i 0.277479 + 0.347948i 0.900969 0.433884i \(-0.142857\pi\)
−0.623490 + 0.781831i \(0.714286\pi\)
\(368\) −0.777479 0.974928i −0.777479 0.974928i
\(369\) 0 0
\(370\) 0 0
\(371\) −0.400969 + 1.75676i −0.400969 + 1.75676i
\(372\) −0.722521 + 3.16557i −0.722521 + 3.16557i
\(373\) 1.24698 1.24698 0.623490 0.781831i \(-0.285714\pi\)
0.623490 + 0.781831i \(0.285714\pi\)
\(374\) −1.24698 −1.24698
\(375\) 0 0
\(376\) 0 0
\(377\) 0 0
\(378\) −1.40097 1.75676i −1.40097 1.75676i
\(379\) −1.24698 + 1.56366i −1.24698 + 1.56366i −0.623490 + 0.781831i \(0.714286\pi\)
−0.623490 + 0.781831i \(0.714286\pi\)
\(380\) 0 0
\(381\) 0 0
\(382\) 0 0
\(383\) 0 0 −0.623490 0.781831i \(-0.714286\pi\)
0.623490 + 0.781831i \(0.285714\pi\)
\(384\) −1.62349 0.781831i −1.62349 0.781831i
\(385\) 0 0
\(386\) 0 0
\(387\) 0 0
\(388\) 0 0
\(389\) 0.400969 + 0.193096i 0.400969 + 0.193096i 0.623490 0.781831i \(-0.285714\pi\)
−0.222521 + 0.974928i \(0.571429\pi\)
\(390\) 0 0
\(391\) −1.24698 −1.24698
\(392\) −0.222521 0.974928i −0.222521 0.974928i
\(393\) −2.24698 −2.24698
\(394\) 0 0
\(395\) 0 0
\(396\) 0.623490 + 2.73169i 0.623490 + 2.73169i
\(397\) 0 0 −0.900969 0.433884i \(-0.857143\pi\)
0.900969 + 0.433884i \(0.142857\pi\)
\(398\) −1.62349 + 0.781831i −1.62349 + 0.781831i
\(399\) 0 0
\(400\) −0.900969 0.433884i −0.900969 0.433884i
\(401\) 0 0 −0.623490 0.781831i \(-0.714286\pi\)
0.623490 + 0.781831i \(0.285714\pi\)
\(402\) 0 0
\(403\) 1.40097 1.75676i 1.40097 1.75676i
\(404\) −0.277479 + 1.21572i −0.277479 + 1.21572i
\(405\) 0 0
\(406\) 0 0
\(407\) 0 0
\(408\) −1.62349 + 0.781831i −1.62349 + 0.781831i
\(409\) 0.400969 1.75676i 0.400969 1.75676i −0.222521 0.974928i \(-0.571429\pi\)
0.623490 0.781831i \(-0.285714\pi\)
\(410\) 0 0
\(411\) −3.24698 −3.24698
\(412\) 0 0
\(413\) 0 0
\(414\) 0.623490 + 2.73169i 0.623490 + 2.73169i
\(415\) 0 0
\(416\) 0.777479 + 0.974928i 0.777479 + 0.974928i
\(417\) −1.40097 1.75676i −1.40097 1.75676i
\(418\) 0 0
\(419\) 0.277479 + 1.21572i 0.277479 + 1.21572i 0.900969 + 0.433884i \(0.142857\pi\)
−0.623490 + 0.781831i \(0.714286\pi\)
\(420\) 0 0
\(421\) 0.400969 1.75676i 0.400969 1.75676i −0.222521 0.974928i \(-0.571429\pi\)
0.623490 0.781831i \(-0.285714\pi\)
\(422\) 0.445042 0.445042
\(423\) 0 0
\(424\) 0.400969 1.75676i 0.400969 1.75676i
\(425\) −0.900969 + 0.433884i −0.900969 + 0.433884i
\(426\) 2.02446 + 2.53859i 2.02446 + 2.53859i
\(427\) 0 0
\(428\) 0.277479 0.347948i 0.277479 0.347948i
\(429\) 0.623490 2.73169i 0.623490 2.73169i
\(430\) 0 0
\(431\) 1.80194 0.867767i 1.80194 0.867767i 0.900969 0.433884i \(-0.142857\pi\)
0.900969 0.433884i \(-0.142857\pi\)
\(432\) 1.40097 + 1.75676i 1.40097 + 1.75676i
\(433\) −1.12349 0.541044i −1.12349 0.541044i −0.222521 0.974928i \(-0.571429\pi\)
−0.900969 + 0.433884i \(0.857143\pi\)
\(434\) 1.62349 0.781831i 1.62349 0.781831i
\(435\) 0 0
\(436\) 0 0
\(437\) 0 0
\(438\) 0 0
\(439\) −0.777479 + 0.974928i −0.777479 + 0.974928i 0.222521 + 0.974928i \(0.428571\pi\)
−1.00000 \(\pi\)
\(440\) 0 0
\(441\) −0.500000 + 2.19064i −0.500000 + 2.19064i
\(442\) 1.24698 1.24698
\(443\) 0 0 0.623490 0.781831i \(-0.285714\pi\)
−0.623490 + 0.781831i \(0.714286\pi\)
\(444\) 0 0
\(445\) 0 0
\(446\) 0 0
\(447\) 2.92543 1.40881i 2.92543 1.40881i
\(448\) 0.222521 + 0.974928i 0.222521 + 0.974928i
\(449\) 0 0 −0.900969 0.433884i \(-0.857143\pi\)
0.900969 + 0.433884i \(0.142857\pi\)
\(450\) 1.40097 + 1.75676i 1.40097 + 1.75676i
\(451\) 0 0
\(452\) 0 0
\(453\) 0 0
\(454\) 1.12349 1.40881i 1.12349 1.40881i
\(455\) 0 0
\(456\) 0 0
\(457\) −1.12349 + 0.541044i −1.12349 + 0.541044i −0.900969 0.433884i \(-0.857143\pi\)
−0.222521 + 0.974928i \(0.571429\pi\)
\(458\) 0.0990311 0.433884i 0.0990311 0.433884i
\(459\) 2.24698 2.24698
\(460\) 0 0
\(461\) 0.400969 1.75676i 0.400969 1.75676i −0.222521 0.974928i \(-0.571429\pi\)
0.623490 0.781831i \(-0.285714\pi\)
\(462\) 1.40097 1.75676i 1.40097 1.75676i
\(463\) 0 0 −0.222521 0.974928i \(-0.571429\pi\)
0.222521 + 0.974928i \(0.428571\pi\)
\(464\) 0 0
\(465\) 0 0
\(466\) 0 0
\(467\) 0 0 −0.222521 0.974928i \(-0.571429\pi\)
0.222521 + 0.974928i \(0.428571\pi\)
\(468\) −0.623490 2.73169i −0.623490 2.73169i
\(469\) 0 0
\(470\) 0 0
\(471\) 2.24698 2.24698
\(472\) 0 0
\(473\) 0 0
\(474\) 2.02446 0.974928i 2.02446 0.974928i
\(475\) 0 0
\(476\) 0.900969 + 0.433884i 0.900969 + 0.433884i
\(477\) −2.52446 + 3.16557i −2.52446 + 3.16557i
\(478\) 0 0
\(479\) −0.777479 + 0.974928i −0.777479 + 0.974928i 0.222521 + 0.974928i \(0.428571\pi\)
−1.00000 \(\pi\)
\(480\) 0 0
\(481\) 0 0
\(482\) 0 0
\(483\) 1.40097 1.75676i 1.40097 1.75676i
\(484\) −0.500000 + 0.240787i −0.500000 + 0.240787i
\(485\) 0 0
\(486\) −0.222521 0.974928i −0.222521 0.974928i
\(487\) 1.80194 + 0.867767i 1.80194 + 0.867767i 0.900969 + 0.433884i \(0.142857\pi\)
0.900969 + 0.433884i \(0.142857\pi\)
\(488\) 0 0
\(489\) −3.60388 −3.60388
\(490\) 0 0
\(491\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(492\) 0 0
\(493\) 0 0
\(494\) 0 0
\(495\) 0 0
\(496\) −1.62349 + 0.781831i −1.62349 + 0.781831i
\(497\) 0.400969 1.75676i 0.400969 1.75676i
\(498\) 0 0
\(499\) −0.777479 0.974928i −0.777479 0.974928i 0.222521 0.974928i \(-0.428571\pi\)
−1.00000 \(\pi\)
\(500\) 0 0
\(501\) 0.500000 0.626980i 0.500000 0.626980i
\(502\) 0 0
\(503\) 0.277479 0.347948i 0.277479 0.347948i −0.623490 0.781831i \(-0.714286\pi\)
0.900969 + 0.433884i \(0.142857\pi\)
\(504\) 0.500000 2.19064i 0.500000 2.19064i
\(505\) 0 0
\(506\) −1.40097 + 0.674671i −1.40097 + 0.674671i
\(507\) −0.222521 + 0.974928i −0.222521 + 0.974928i
\(508\) 0 0
\(509\) 1.24698 1.24698 0.623490 0.781831i \(-0.285714\pi\)
0.623490 + 0.781831i \(0.285714\pi\)
\(510\) 0 0
\(511\) 0 0
\(512\) −0.222521 0.974928i −0.222521 0.974928i
\(513\) 0 0
\(514\) 1.24698 + 1.56366i 1.24698 + 1.56366i
\(515\) 0 0
\(516\) 0 0
\(517\) 0 0
\(518\) 0 0
\(519\) 0 0
\(520\) 0 0
\(521\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(522\) 0 0
\(523\) 0 0 0.900969 0.433884i \(-0.142857\pi\)
−0.900969 + 0.433884i \(0.857143\pi\)
\(524\) −0.777479 0.974928i −0.777479 0.974928i
\(525\) 0.400969 1.75676i 0.400969 1.75676i
\(526\) 0 0
\(527\) −0.400969 + 1.75676i −0.400969 + 1.75676i
\(528\) −1.40097 + 1.75676i −1.40097 + 1.75676i
\(529\) −0.500000 + 0.240787i −0.500000 + 0.240787i
\(530\) 0 0
\(531\) 0 0
\(532\) 0 0
\(533\) 0 0
\(534\) 2.92543 + 1.40881i 2.92543 + 1.40881i
\(535\) 0 0
\(536\) 0 0
\(537\) 0 0
\(538\) 0 0
\(539\) −1.24698 −1.24698
\(540\) 0 0
\(541\) 0 0 0.623490 0.781831i \(-0.285714\pi\)
−0.623490 + 0.781831i \(0.714286\pi\)
\(542\) 0 0
\(543\) 0 0
\(544\) −0.900969 0.433884i −0.900969 0.433884i
\(545\) 0 0
\(546\) −1.40097 + 1.75676i −1.40097 + 1.75676i
\(547\) −0.400969 0.193096i −0.400969 0.193096i 0.222521 0.974928i \(-0.428571\pi\)
−0.623490 + 0.781831i \(0.714286\pi\)
\(548\) −1.12349 1.40881i −1.12349 1.40881i
\(549\) 0 0
\(550\) −0.777479 + 0.974928i −0.777479 + 0.974928i
\(551\) 0 0
\(552\) −1.40097 + 1.75676i −1.40097 + 1.75676i
\(553\) −1.12349 0.541044i −1.12349 0.541044i
\(554\) 0 0
\(555\) 0 0
\(556\) 0.277479 1.21572i 0.277479 1.21572i
\(557\) −1.80194 −1.80194 −0.900969 0.433884i \(-0.857143\pi\)
−0.900969 + 0.433884i \(0.857143\pi\)
\(558\) 4.04892 4.04892
\(559\) 0 0
\(560\) 0 0
\(561\) 0.500000 + 2.19064i 0.500000 + 2.19064i
\(562\) −0.445042 1.94986i −0.445042 1.94986i
\(563\) 0 0 −0.623490 0.781831i \(-0.714286\pi\)
0.623490 + 0.781831i \(0.285714\pi\)
\(564\) 0 0
\(565\) 0 0
\(566\) 0.277479 + 1.21572i 0.277479 + 1.21572i
\(567\) −1.12349 + 1.40881i −1.12349 + 1.40881i
\(568\) −0.400969 + 1.75676i −0.400969 + 1.75676i
\(569\) 1.24698 1.24698 0.623490 0.781831i \(-0.285714\pi\)
0.623490 + 0.781831i \(0.285714\pi\)
\(570\) 0 0
\(571\) −0.400969 + 1.75676i −0.400969 + 1.75676i 0.222521 + 0.974928i \(0.428571\pi\)
−0.623490 + 0.781831i \(0.714286\pi\)
\(572\) 1.40097 0.674671i 1.40097 0.674671i
\(573\) 0 0
\(574\) 0 0
\(575\) −0.777479 + 0.974928i −0.777479 + 0.974928i
\(576\) −0.500000 + 2.19064i −0.500000 + 2.19064i
\(577\) −0.277479 + 0.347948i −0.277479 + 0.347948i −0.900969 0.433884i \(-0.857143\pi\)
0.623490 + 0.781831i \(0.285714\pi\)
\(578\) −0.900969 + 0.433884i −0.900969 + 0.433884i
\(579\) 0 0
\(580\) 0 0
\(581\) 0 0
\(582\) 0 0
\(583\) −2.02446 0.974928i −2.02446 0.974928i
\(584\) 0 0
\(585\) 0 0
\(586\) 0.777479 0.974928i 0.777479 0.974928i
\(587\) 0 0 1.00000 \(0\)
−1.00000 \(\pi\)
\(588\) −1.62349 + 0.781831i −1.62349 + 0.781831i
\(589\) 0 0
\(590\) 0 0
\(591\) 0 0
\(592\) 0 0
\(593\) 0.400969 + 0.193096i 0.400969 + 0.193096i 0.623490 0.781831i \(-0.285714\pi\)
−0.222521 + 0.974928i \(0.571429\pi\)
\(594\) 2.52446 1.21572i 2.52446 1.21572i
\(595\) 0 0
\(596\) 1.62349 + 0.781831i 1.62349 + 0.781831i
\(597\) 2.02446 + 2.53859i 2.02446 + 2.53859i
\(598\) 1.40097 0.674671i 1.40097 0.674671i
\(599\) 0 0 0.623490 0.781831i \(-0.285714\pi\)
−0.623490 + 0.781831i \(0.714286\pi\)
\(600\) −0.400969 + 1.75676i −0.400969 + 1.75676i
\(601\) 0 0 0.623490 0.781831i \(-0.285714\pi\)
−0.623490 + 0.781831i \(0.714286\pi\)
\(602\) 0 0
\(603\) 0 0
\(604\) 0 0
\(605\) 0 0
\(606\) 2.24698 2.24698
\(607\) −2.00000 −2.00000 −1.00000 \(\pi\)
−1.00000 \(\pi\)
\(608\) 0 0
\(609\) 0 0
\(610\) 0 0
\(611\) 0 0
\(612\) 1.40097 + 1.75676i 1.40097 + 1.75676i
\(613\) −0.277479 0.347948i −0.277479 0.347948i 0.623490 0.781831i \(-0.285714\pi\)
−0.900969 + 0.433884i \(0.857143\pi\)
\(614\) 0 0
\(615\) 0 0
\(616\) 1.24698 1.24698
\(617\) 0 0 0.222521 0.974928i \(-0.428571\pi\)
−0.222521 + 0.974928i \(0.571429\pi\)
\(618\) 0 0
\(619\) −2.00000 −2.00000 −1.00000 \(\pi\)
−1.00000 \(\pi\)
\(620\) 0 0
\(621\) 2.52446 1.21572i 2.52446 1.21572i
\(622\) −1.24698 1.56366i −1.24698 1.56366i
\(623\) −0.400969 1.75676i −0.400969 1.75676i
\(624\) 1.40097 1.75676i 1.40097 1.75676i
\(625\) −0.222521 + 0.974928i −0.222521 + 0.974928i
\(626\) 0 0
\(627\) 0 0
\(628\) 0.777479 + 0.974928i 0.777479 + 0.974928i
\(629\) 0 0
\(630\) 0 0
\(631\) 0 0 0.900969 0.433884i \(-0.142857\pi\)
−0.900969 + 0.433884i \(0.857143\pi\)
\(632\) 1.12349 + 0.541044i 1.12349 + 0.541044i
\(633\) −0.178448 0.781831i −0.178448 0.781831i
\(634\) 0 0
\(635\) 0 0
\(636\) −3.24698 −3.24698
\(637\) 1.24698 1.24698
\(638\) 0 0
\(639\) 2.52446 3.16557i 2.52446 3.16557i
\(640\) 0 0
\(641\) 0 0 −0.222521 0.974928i \(-0.571429\pi\)
0.222521 + 0.974928i \(0.428571\pi\)
\(642\) −0.722521 0.347948i −0.722521 0.347948i
\(643\) −0.400969 + 0.193096i −0.400969 + 0.193096i −0.623490 0.781831i \(-0.714286\pi\)
0.222521 + 0.974928i \(0.428571\pi\)
\(644\) 1.24698 1.24698
\(645\) 0 0
\(646\) 0 0
\(647\) 0 0 0.900969 0.433884i \(-0.142857\pi\)
−0.900969 + 0.433884i \(0.857143\pi\)
\(648\) 1.12349 1.40881i 1.12349 1.40881i
\(649\) 0 0
\(650\) 0.777479 0.974928i 0.777479 0.974928i
\(651\) −2.02446 2.53859i −2.02446 2.53859i
\(652\) −1.24698 1.56366i −1.24698 1.56366i
\(653\) 0 0 0.900969 0.433884i \(-0.142857\pi\)
−0.900969 + 0.433884i \(0.857143\pi\)
\(654\) 0 0
\(655\) 0 0
\(656\) 0 0
\(657\) 0 0
\(658\) 0 0
\(659\) 0 0 −0.222521 0.974928i \(-0.571429\pi\)
0.222521 + 0.974928i \(0.428571\pi\)
\(660\) 0 0
\(661\) −1.12349 1.40881i −1.12349 1.40881i −0.900969 0.433884i \(-0.857143\pi\)
−0.222521 0.974928i \(-0.571429\pi\)
\(662\) 0 0
\(663\) −0.500000 2.19064i −0.500000 2.19064i
\(664\) 0 0
\(665\) 0 0
\(666\) 0 0
\(667\) 0 0
\(668\) 0.445042 0.445042
\(669\) 0 0
\(670\) 0 0
\(671\) 0 0
\(672\) 1.62349 0.781831i 1.62349 0.781831i
\(673\) 0 0 0.623490 0.781831i \(-0.285714\pi\)
−0.623490 + 0.781831i \(0.714286\pi\)
\(674\) 0 0
\(675\) 1.40097 1.75676i 1.40097 1.75676i
\(676\) −0.500000 + 0.240787i −0.500000 + 0.240787i
\(677\) 0 0 −0.623490 0.781831i \(-0.714286\pi\)
0.623490 + 0.781831i \(0.285714\pi\)
\(678\) 0 0
\(679\) 0 0
\(680\) 0 0
\(681\) −2.92543 1.40881i −2.92543 1.40881i
\(682\) 0.500000 + 2.19064i 0.500000 + 2.19064i
\(683\) −1.62349 0.781831i −1.62349 0.781831i −0.623490 0.781831i \(-0.714286\pi\)
−1.00000 \(\pi\)
\(684\) 0 0
\(685\) 0 0
\(686\) 0.900969 + 0.433884i 0.900969 + 0.433884i
\(687\) −0.801938 −0.801938
\(688\) 0 0
\(689\) 2.02446 + 0.974928i 2.02446 + 0.974928i
\(690\) 0 0
\(691\) −1.62349 0.781831i −1.62349 0.781831i −0.623490 0.781831i \(-0.714286\pi\)
−1.00000 \(\pi\)
\(692\) 0 0
\(693\) −2.52446 1.21572i −2.52446 1.21572i
\(694\) −0.400969 0.193096i −0.400969 0.193096i
\(695\) 0 0
\(696\) 0 0
\(697\) 0 0
\(698\) 0.0990311 0.433884i 0.0990311 0.433884i
\(699\) 0 0
\(700\) 0.900969 0.433884i 0.900969 0.433884i
\(701\) −1.12349 1.40881i −1.12349 1.40881i −0.900969 0.433884i \(-0.857143\pi\)
−0.222521 0.974928i \(-0.571429\pi\)
\(702\) −2.52446 + 1.21572i −2.52446 + 1.21572i
\(703\) 0 0
\(704\) −1.24698 −1.24698
\(705\) 0 0
\(706\) −0.445042 + 1.94986i −0.445042 + 1.94986i
\(707\) −0.777479 0.974928i −0.777479 0.974928i
\(708\) 0 0
\(709\) 0 0 −0.222521 0.974928i \(-0.571429\pi\)
0.222521 + 0.974928i \(0.428571\pi\)
\(710\) 0 0
\(711\) −1.74698 2.19064i −1.74698 2.19064i
\(712\) 0.400969 + 1.75676i 0.400969 + 1.75676i
\(713\) 0.500000 + 2.19064i 0.500000 + 2.19064i
\(714\) 0.400969 1.75676i 0.400969 1.75676i
\(715\) 0 0
\(716\) 0 0
\(717\) 0 0
\(718\) 0 0
\(719\) 1.12349 0.541044i 1.12349 0.541044i 0.222521 0.974928i \(-0.428571\pi\)
0.900969 + 0.433884i \(0.142857\pi\)
\(720\) 0 0
\(721\) 0 0
\(722\) 0.623490 0.781831i 0.623490 0.781831i
\(723\) 0 0
\(724\) 0 0
\(725\) 0 0
\(726\) 0.623490 + 0.781831i 0.623490 + 0.781831i
\(727\) 0 0 −0.900969 0.433884i \(-0.857143\pi\)
0.900969 + 0.433884i \(0.142857\pi\)
\(728\) −1.24698 −1.24698
\(729\) 0 0
\(730\) 0 0
\(731\) 0 0
\(732\) 0 0
\(733\) 1.24698 1.56366i 1.24698 1.56366i 0.623490 0.781831i \(-0.285714\pi\)
0.623490 0.781831i \(-0.285714\pi\)
\(734\) 0.445042 0.445042
\(735\) 0 0
\(736\) −1.24698 −1.24698
\(737\) 0 0
\(738\) 0 0
\(739\) 0 0 −0.222521 0.974928i \(-0.571429\pi\)
0.222521 + 0.974928i \(0.428571\pi\)
\(740\) 0 0
\(741\) 0 0
\(742\) 1.12349 + 1.40881i 1.12349 + 1.40881i
\(743\) −1.62349 0.781831i −1.62349 0.781831i −0.623490 0.781831i \(-0.714286\pi\)
−1.00000 \(\pi\)
\(744\) 2.02446 + 2.53859i 2.02446 + 2.53859i
\(745\) 0 0
\(746\) 0.777479 0.974928i 0.777479 0.974928i
\(747\) 0 0
\(748\) −0.777479 + 0.974928i −0.777479 + 0.974928i
\(749\) 0.0990311 + 0.433884i 0.0990311 + 0.433884i
\(750\) 0 0
\(751\) 1.12349 0.541044i 1.12349 0.541044i 0.222521 0.974928i \(-0.428571\pi\)
0.900969 + 0.433884i \(0.142857\pi\)
\(752\) 0 0
\(753\) 0 0
\(754\) 0 0
\(755\) 0 0
\(756\) −2.24698 −2.24698
\(757\) −0.445042 1.94986i −0.445042 1.94986i −0.222521 0.974928i \(-0.571429\pi\)
−0.222521 0.974928i \(-0.571429\pi\)
\(758\) 0.445042 + 1.94986i 0.445042 + 1.94986i
\(759\) 1.74698 + 2.19064i 1.74698 + 2.19064i
\(760\) 0 0
\(761\) 0.0990311 + 0.433884i 0.0990311 + 0.433884i 1.00000 \(0\)
−0.900969 + 0.433884i \(0.857143\pi\)
\(762\) 0 0
\(763\) 0 0
\(764\) 0 0
\(765\) 0 0
\(766\) 0 0
\(767\) 0 0
\(768\) −1.62349 + 0.781831i −1.62349 + 0.781831i
\(769\) 1.24698 + 1.56366i 1.24698 + 1.56366i 0.623490 + 0.781831i \(0.285714\pi\)
0.623490 + 0.781831i \(0.285714\pi\)
\(770\) 0 0
\(771\) 2.24698 2.81762i 2.24698 2.81762i
\(772\) 0 0
\(773\) −0.277479 + 0.347948i −0.277479 + 0.347948i −0.900969 0.433884i \(-0.857143\pi\)
0.623490 + 0.781831i \(0.285714\pi\)
\(774\) 0 0
\(775\) 1.12349 + 1.40881i 1.12349 + 1.40881i
\(776\) 0 0
\(777\) 0 0
\(778\) 0.400969 0.193096i 0.400969 0.193096i
\(779\) 0 0
\(780\) 0 0
\(781\) 2.02446 + 0.974928i 2.02446 + 0.974928i
\(782\) −0.777479 + 0.974928i −0.777479 + 0.974928i
\(783\) 0 0
\(784\) −0.900969 0.433884i −0.900969 0.433884i
\(785\) 0 0
\(786\) −1.40097 + 1.75676i −1.40097 + 1.75676i
\(787\) −0.400969 0.193096i −0.400969 0.193096i 0.222521 0.974928i \(-0.428571\pi\)
−0.623490 + 0.781831i \(0.714286\pi\)
\(788\) 0 0
\(789\) 0 0
\(790\) 0 0
\(791\) 0 0
\(792\) 2.52446 + 1.21572i 2.52446 + 1.21572i
\(793\) 0