Properties

Label 260.2.o.a.27.27
Level $260$
Weight $2$
Character 260.27
Analytic conductor $2.076$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 260.o (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.07611045255\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(36\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 27.27
Character \(\chi\) \(=\) 260.27
Dual form 260.2.o.a.183.27

$q$-expansion

\(f(q)\) \(=\) \(q+(0.915579 + 1.07783i) q^{2} +(1.47811 + 1.47811i) q^{3} +(-0.323431 + 1.97367i) q^{4} +(-1.55016 + 1.61152i) q^{5} +(-0.239824 + 2.94647i) q^{6} +(2.13554 - 2.13554i) q^{7} +(-2.42341 + 1.45845i) q^{8} +1.36960i q^{9} +O(q^{10})\) \(q+(0.915579 + 1.07783i) q^{2} +(1.47811 + 1.47811i) q^{3} +(-0.323431 + 1.97367i) q^{4} +(-1.55016 + 1.61152i) q^{5} +(-0.239824 + 2.94647i) q^{6} +(2.13554 - 2.13554i) q^{7} +(-2.42341 + 1.45845i) q^{8} +1.36960i q^{9} +(-3.15624 - 0.195341i) q^{10} -4.29565i q^{11} +(-3.39537 + 2.43924i) q^{12} +(0.707107 - 0.707107i) q^{13} +(4.25701 + 0.346493i) q^{14} +(-4.67331 + 0.0906862i) q^{15} +(-3.79078 - 1.27670i) q^{16} +(1.46539 + 1.46539i) q^{17} +(-1.47620 + 1.25398i) q^{18} -3.97321 q^{19} +(-2.67924 - 3.58074i) q^{20} +6.31312 q^{21} +(4.62998 - 3.93301i) q^{22} +(4.23885 + 4.23885i) q^{23} +(-5.73781 - 1.42631i) q^{24} +(-0.193978 - 4.99624i) q^{25} +(1.40955 + 0.114728i) q^{26} +(2.40990 - 2.40990i) q^{27} +(3.52417 + 4.90557i) q^{28} +4.88669i q^{29} +(-4.37652 - 4.95399i) q^{30} +2.60341i q^{31} +(-2.09470 - 5.25473i) q^{32} +(6.34943 - 6.34943i) q^{33} +(-0.237761 + 2.92113i) q^{34} +(0.131022 + 6.75191i) q^{35} +(-2.70315 - 0.442972i) q^{36} +(-2.66289 - 2.66289i) q^{37} +(-3.63779 - 4.28245i) q^{38} +2.09036 q^{39} +(1.40637 - 6.16621i) q^{40} +8.74316 q^{41} +(5.78016 + 6.80447i) q^{42} +(-8.10707 - 8.10707i) q^{43} +(8.47822 + 1.38935i) q^{44} +(-2.20714 - 2.12311i) q^{45} +(-0.687755 + 8.44976i) q^{46} +(-4.30417 + 4.30417i) q^{47} +(-3.71609 - 7.49028i) q^{48} -2.12109i q^{49} +(5.20749 - 4.78352i) q^{50} +4.33202i q^{51} +(1.16690 + 1.62430i) q^{52} +(-3.75627 + 3.75627i) q^{53} +(4.80392 + 0.391008i) q^{54} +(6.92252 + 6.65897i) q^{55} +(-2.06071 + 8.28988i) q^{56} +(-5.87284 - 5.87284i) q^{57} +(-5.26701 + 4.47415i) q^{58} -8.15393 q^{59} +(1.33251 - 9.25292i) q^{60} -3.28535 q^{61} +(-2.80603 + 2.38362i) q^{62} +(2.92484 + 2.92484i) q^{63} +(3.74584 - 7.06885i) q^{64} +(0.0433831 + 2.23565i) q^{65} +(12.6570 + 1.03020i) q^{66} +(5.76980 - 5.76980i) q^{67} +(-3.36616 + 2.41826i) q^{68} +12.5309i q^{69} +(-7.15744 + 6.32312i) q^{70} -11.6295i q^{71} +(-1.99750 - 3.31911i) q^{72} +(7.95429 - 7.95429i) q^{73} +(0.432054 - 5.30822i) q^{74} +(7.09825 - 7.67169i) q^{75} +(1.28506 - 7.84183i) q^{76} +(-9.17355 - 9.17355i) q^{77} +(1.91389 + 2.25305i) q^{78} +0.366972 q^{79} +(7.93376 - 4.12983i) q^{80} +11.2330 q^{81} +(8.00505 + 9.42363i) q^{82} +(-6.72980 - 6.72980i) q^{83} +(-2.04186 + 12.4601i) q^{84} +(-4.63311 + 0.0899062i) q^{85} +(1.31538 - 16.1607i) q^{86} +(-7.22305 + 7.22305i) q^{87} +(6.26500 + 10.4101i) q^{88} +13.0741i q^{89} +(0.267540 - 4.32279i) q^{90} -3.02011i q^{91} +(-9.73709 + 6.99513i) q^{92} +(-3.84811 + 3.84811i) q^{93} +(-8.57997 - 0.698353i) q^{94} +(6.15914 - 6.40290i) q^{95} +(4.67087 - 10.8633i) q^{96} +(-4.31611 - 4.31611i) q^{97} +(2.28617 - 1.94202i) q^{98} +5.88333 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q - 8 q^{6} - 12 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 72 q - 8 q^{6} - 12 q^{8} - 8 q^{10} - 8 q^{12} - 8 q^{16} + 28 q^{18} - 16 q^{21} - 8 q^{22} - 20 q^{28} - 32 q^{30} - 40 q^{32} + 16 q^{33} + 32 q^{36} - 12 q^{38} - 8 q^{40} - 40 q^{42} - 8 q^{46} + 60 q^{48} + 40 q^{50} + 8 q^{52} - 48 q^{53} + 8 q^{56} - 60 q^{58} + 20 q^{60} - 64 q^{61} + 60 q^{62} + 8 q^{66} - 16 q^{68} - 60 q^{70} + 40 q^{72} - 16 q^{73} - 72 q^{76} + 48 q^{77} - 20 q^{80} + 8 q^{81} - 12 q^{82} + 48 q^{85} + 48 q^{86} + 12 q^{88} + 44 q^{90} - 36 q^{92} + 16 q^{93} + 32 q^{96} - 80 q^{97} - 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).

\(n\) \(41\) \(131\) \(157\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.915579 + 1.07783i 0.647412 + 0.762140i
\(3\) 1.47811 + 1.47811i 0.853386 + 0.853386i 0.990549 0.137163i \(-0.0437984\pi\)
−0.137163 + 0.990549i \(0.543798\pi\)
\(4\) −0.323431 + 1.97367i −0.161716 + 0.986837i
\(5\) −1.55016 + 1.61152i −0.693255 + 0.720693i
\(6\) −0.239824 + 2.94647i −0.0979075 + 1.20289i
\(7\) 2.13554 2.13554i 0.807159 0.807159i −0.177044 0.984203i \(-0.556653\pi\)
0.984203 + 0.177044i \(0.0566534\pi\)
\(8\) −2.42341 + 1.45845i −0.856805 + 0.515640i
\(9\) 1.36960i 0.456534i
\(10\) −3.15624 0.195341i −0.998090 0.0617724i
\(11\) 4.29565i 1.29519i −0.761986 0.647594i \(-0.775775\pi\)
0.761986 0.647594i \(-0.224225\pi\)
\(12\) −3.39537 + 2.43924i −0.980159 + 0.704147i
\(13\) 0.707107 0.707107i 0.196116 0.196116i
\(14\) 4.25701 + 0.346493i 1.13773 + 0.0926041i
\(15\) −4.67331 + 0.0906862i −1.20664 + 0.0234151i
\(16\) −3.79078 1.27670i −0.947696 0.319174i
\(17\) 1.46539 + 1.46539i 0.355410 + 0.355410i 0.862118 0.506708i \(-0.169138\pi\)
−0.506708 + 0.862118i \(0.669138\pi\)
\(18\) −1.47620 + 1.25398i −0.347943 + 0.295566i
\(19\) −3.97321 −0.911518 −0.455759 0.890103i \(-0.650632\pi\)
−0.455759 + 0.890103i \(0.650632\pi\)
\(20\) −2.67924 3.58074i −0.599096 0.800677i
\(21\) 6.31312 1.37764
\(22\) 4.62998 3.93301i 0.987115 0.838520i
\(23\) 4.23885 + 4.23885i 0.883861 + 0.883861i 0.993925 0.110063i \(-0.0351054\pi\)
−0.110063 + 0.993925i \(0.535105\pi\)
\(24\) −5.73781 1.42631i −1.17123 0.291145i
\(25\) −0.193978 4.99624i −0.0387957 0.999247i
\(26\) 1.40955 + 0.114728i 0.276436 + 0.0225001i
\(27\) 2.40990 2.40990i 0.463786 0.463786i
\(28\) 3.52417 + 4.90557i 0.666005 + 0.927065i
\(29\) 4.88669i 0.907435i 0.891146 + 0.453718i \(0.149903\pi\)
−0.891146 + 0.453718i \(0.850097\pi\)
\(30\) −4.37652 4.95399i −0.799040 0.904472i
\(31\) 2.60341i 0.467585i 0.972286 + 0.233793i \(0.0751137\pi\)
−0.972286 + 0.233793i \(0.924886\pi\)
\(32\) −2.09470 5.25473i −0.370294 0.928914i
\(33\) 6.34943 6.34943i 1.10529 1.10529i
\(34\) −0.237761 + 2.92113i −0.0407756 + 0.500969i
\(35\) 0.131022 + 6.75191i 0.0221467 + 1.14128i
\(36\) −2.70315 0.442972i −0.450525 0.0738287i
\(37\) −2.66289 2.66289i −0.437776 0.437776i 0.453487 0.891263i \(-0.350180\pi\)
−0.891263 + 0.453487i \(0.850180\pi\)
\(38\) −3.63779 4.28245i −0.590127 0.694704i
\(39\) 2.09036 0.334725
\(40\) 1.40637 6.16621i 0.222366 0.974963i
\(41\) 8.74316 1.36545 0.682726 0.730675i \(-0.260794\pi\)
0.682726 + 0.730675i \(0.260794\pi\)
\(42\) 5.78016 + 6.80447i 0.891898 + 1.04995i
\(43\) −8.10707 8.10707i −1.23632 1.23632i −0.961495 0.274821i \(-0.911381\pi\)
−0.274821 0.961495i \(-0.588619\pi\)
\(44\) 8.47822 + 1.38935i 1.27814 + 0.209452i
\(45\) −2.20714 2.12311i −0.329021 0.316494i
\(46\) −0.687755 + 8.44976i −0.101404 + 1.24585i
\(47\) −4.30417 + 4.30417i −0.627828 + 0.627828i −0.947521 0.319693i \(-0.896420\pi\)
0.319693 + 0.947521i \(0.396420\pi\)
\(48\) −3.71609 7.49028i −0.536372 1.08113i
\(49\) 2.12109i 0.303012i
\(50\) 5.20749 4.78352i 0.736450 0.676492i
\(51\) 4.33202i 0.606604i
\(52\) 1.16690 + 1.62430i 0.161820 + 0.225250i
\(53\) −3.75627 + 3.75627i −0.515963 + 0.515963i −0.916347 0.400384i \(-0.868877\pi\)
0.400384 + 0.916347i \(0.368877\pi\)
\(54\) 4.80392 + 0.391008i 0.653731 + 0.0532094i
\(55\) 6.92252 + 6.65897i 0.933432 + 0.897895i
\(56\) −2.06071 + 8.28988i −0.275374 + 1.10778i
\(57\) −5.87284 5.87284i −0.777876 0.777876i
\(58\) −5.26701 + 4.47415i −0.691593 + 0.587484i
\(59\) −8.15393 −1.06155 −0.530775 0.847512i \(-0.678099\pi\)
−0.530775 + 0.847512i \(0.678099\pi\)
\(60\) 1.33251 9.25292i 0.172026 1.19455i
\(61\) −3.28535 −0.420646 −0.210323 0.977632i \(-0.567452\pi\)
−0.210323 + 0.977632i \(0.567452\pi\)
\(62\) −2.80603 + 2.38362i −0.356366 + 0.302720i
\(63\) 2.92484 + 2.92484i 0.368496 + 0.368496i
\(64\) 3.74584 7.06885i 0.468230 0.883607i
\(65\) 0.0433831 + 2.23565i 0.00538101 + 0.277298i
\(66\) 12.6570 + 1.03020i 1.55797 + 0.126809i
\(67\) 5.76980 5.76980i 0.704893 0.704893i −0.260563 0.965457i \(-0.583908\pi\)
0.965457 + 0.260563i \(0.0839083\pi\)
\(68\) −3.36616 + 2.41826i −0.408207 + 0.293257i
\(69\) 12.5309i 1.50855i
\(70\) −7.15744 + 6.32312i −0.855478 + 0.755758i
\(71\) 11.6295i 1.38016i −0.723731 0.690082i \(-0.757574\pi\)
0.723731 0.690082i \(-0.242426\pi\)
\(72\) −1.99750 3.31911i −0.235407 0.391161i
\(73\) 7.95429 7.95429i 0.930979 0.930979i −0.0667878 0.997767i \(-0.521275\pi\)
0.997767 + 0.0667878i \(0.0212751\pi\)
\(74\) 0.432054 5.30822i 0.0502253 0.617068i
\(75\) 7.09825 7.67169i 0.819635 0.885851i
\(76\) 1.28506 7.84183i 0.147407 0.899520i
\(77\) −9.17355 9.17355i −1.04542 1.04542i
\(78\) 1.91389 + 2.25305i 0.216705 + 0.255108i
\(79\) 0.366972 0.0412876 0.0206438 0.999787i \(-0.493428\pi\)
0.0206438 + 0.999787i \(0.493428\pi\)
\(80\) 7.93376 4.12983i 0.887021 0.461729i
\(81\) 11.2330 1.24811
\(82\) 8.00505 + 9.42363i 0.884010 + 1.04067i
\(83\) −6.72980 6.72980i −0.738692 0.738692i 0.233633 0.972325i \(-0.424939\pi\)
−0.972325 + 0.233633i \(0.924939\pi\)
\(84\) −2.04186 + 12.4601i −0.222785 + 1.35950i
\(85\) −4.63311 + 0.0899062i −0.502531 + 0.00975169i
\(86\) 1.31538 16.1607i 0.141841 1.74265i
\(87\) −7.22305 + 7.22305i −0.774392 + 0.774392i
\(88\) 6.26500 + 10.4101i 0.667851 + 1.10972i
\(89\) 13.0741i 1.38585i 0.721009 + 0.692926i \(0.243679\pi\)
−0.721009 + 0.692926i \(0.756321\pi\)
\(90\) 0.267540 4.32279i 0.0282012 0.455662i
\(91\) 3.02011i 0.316594i
\(92\) −9.73709 + 6.99513i −1.01516 + 0.729293i
\(93\) −3.84811 + 3.84811i −0.399031 + 0.399031i
\(94\) −8.57997 0.698353i −0.884956 0.0720296i
\(95\) 6.15914 6.40290i 0.631914 0.656924i
\(96\) 4.67087 10.8633i 0.476718 1.10873i
\(97\) −4.31611 4.31611i −0.438235 0.438235i 0.453183 0.891418i \(-0.350288\pi\)
−0.891418 + 0.453183i \(0.850288\pi\)
\(98\) 2.28617 1.94202i 0.230938 0.196174i
\(99\) 5.88333 0.591297
\(100\) 9.92368 + 1.23309i 0.992368 + 0.123309i
\(101\) −0.312987 −0.0311433 −0.0155717 0.999879i \(-0.504957\pi\)
−0.0155717 + 0.999879i \(0.504957\pi\)
\(102\) −4.66917 + 3.96630i −0.462317 + 0.392722i
\(103\) 3.38978 + 3.38978i 0.334005 + 0.334005i 0.854105 0.520100i \(-0.174105\pi\)
−0.520100 + 0.854105i \(0.674105\pi\)
\(104\) −0.682330 + 2.74489i −0.0669079 + 0.269159i
\(105\) −9.78638 + 10.1737i −0.955053 + 0.992852i
\(106\) −7.48777 0.609456i −0.727277 0.0591956i
\(107\) 4.50456 4.50456i 0.435473 0.435473i −0.455012 0.890485i \(-0.650365\pi\)
0.890485 + 0.455012i \(0.150365\pi\)
\(108\) 3.97693 + 5.53580i 0.382680 + 0.532683i
\(109\) 5.71071i 0.546987i −0.961874 0.273493i \(-0.911821\pi\)
0.961874 0.273493i \(-0.0881792\pi\)
\(110\) −0.839119 + 13.5581i −0.0800068 + 1.29271i
\(111\) 7.87206i 0.747183i
\(112\) −10.8218 + 5.36894i −1.02257 + 0.507317i
\(113\) −11.7335 + 11.7335i −1.10380 + 1.10380i −0.109847 + 0.993949i \(0.535036\pi\)
−0.993949 + 0.109847i \(0.964964\pi\)
\(114\) 0.952870 11.7070i 0.0892444 1.09646i
\(115\) −13.4019 + 0.260066i −1.24973 + 0.0242513i
\(116\) −9.64473 1.58051i −0.895491 0.146746i
\(117\) 0.968455 + 0.968455i 0.0895337 + 0.0895337i
\(118\) −7.46556 8.78854i −0.687261 0.809051i
\(119\) 6.25882 0.573745
\(120\) 11.1931 7.03556i 1.02178 0.642256i
\(121\) −7.45262 −0.677511
\(122\) −3.00800 3.54105i −0.272331 0.320592i
\(123\) 12.9233 + 12.9233i 1.16526 + 1.16526i
\(124\) −5.13827 0.842023i −0.461431 0.0756159i
\(125\) 8.35222 + 7.43239i 0.747045 + 0.664773i
\(126\) −0.474557 + 5.83041i −0.0422769 + 0.519414i
\(127\) −14.6472 + 14.6472i −1.29973 + 1.29973i −0.371158 + 0.928570i \(0.621039\pi\)
−0.928570 + 0.371158i \(0.878961\pi\)
\(128\) 11.0486 2.43471i 0.976570 0.215200i
\(129\) 23.9662i 2.11011i
\(130\) −2.36992 + 2.09367i −0.207856 + 0.183627i
\(131\) 17.6084i 1.53845i 0.638976 + 0.769227i \(0.279358\pi\)
−0.638976 + 0.769227i \(0.720642\pi\)
\(132\) 10.4781 + 14.5853i 0.912003 + 1.26949i
\(133\) −8.48497 + 8.48497i −0.735740 + 0.735740i
\(134\) 11.5016 + 0.936152i 0.993584 + 0.0808713i
\(135\) 0.147855 + 7.61935i 0.0127253 + 0.655769i
\(136\) −5.68845 1.41405i −0.487781 0.121253i
\(137\) −8.70018 8.70018i −0.743306 0.743306i 0.229906 0.973213i \(-0.426158\pi\)
−0.973213 + 0.229906i \(0.926158\pi\)
\(138\) −13.5062 + 11.4731i −1.14973 + 0.976653i
\(139\) 14.5944 1.23788 0.618939 0.785439i \(-0.287563\pi\)
0.618939 + 0.785439i \(0.287563\pi\)
\(140\) −13.3684 1.92518i −1.12984 0.162708i
\(141\) −12.7240 −1.07156
\(142\) 12.5346 10.6477i 1.05188 0.893535i
\(143\) −3.03748 3.03748i −0.254007 0.254007i
\(144\) 1.74857 5.19187i 0.145714 0.432656i
\(145\) −7.87498 7.57517i −0.653982 0.629084i
\(146\) 15.8561 + 1.29059i 1.31226 + 0.106810i
\(147\) 3.13519 3.13519i 0.258586 0.258586i
\(148\) 6.11693 4.39441i 0.502809 0.361218i
\(149\) 17.5781i 1.44005i 0.693948 + 0.720025i \(0.255870\pi\)
−0.693948 + 0.720025i \(0.744130\pi\)
\(150\) 14.7678 + 0.626663i 1.20578 + 0.0511668i
\(151\) 13.3402i 1.08561i 0.839858 + 0.542806i \(0.182638\pi\)
−0.839858 + 0.542806i \(0.817362\pi\)
\(152\) 9.62873 5.79474i 0.780993 0.470015i
\(153\) −2.00701 + 2.00701i −0.162257 + 0.162257i
\(154\) 1.48841 18.2866i 0.119940 1.47358i
\(155\) −4.19543 4.03571i −0.336985 0.324156i
\(156\) −0.676088 + 4.12569i −0.0541303 + 0.330320i
\(157\) −3.73828 3.73828i −0.298347 0.298347i 0.542019 0.840366i \(-0.317660\pi\)
−0.840366 + 0.542019i \(0.817660\pi\)
\(158\) 0.335992 + 0.395533i 0.0267301 + 0.0314669i
\(159\) −11.1043 −0.880631
\(160\) 11.7152 + 4.77005i 0.926170 + 0.377106i
\(161\) 18.1045 1.42683
\(162\) 10.2847 + 12.1073i 0.808042 + 0.951235i
\(163\) −12.2870 12.2870i −0.962394 0.962394i 0.0369238 0.999318i \(-0.488244\pi\)
−0.999318 + 0.0369238i \(0.988244\pi\)
\(164\) −2.82781 + 17.2561i −0.220815 + 1.34748i
\(165\) 0.389556 + 20.0749i 0.0303269 + 1.56283i
\(166\) 1.09191 13.4152i 0.0847489 1.04122i
\(167\) −1.42933 + 1.42933i −0.110605 + 0.110605i −0.760243 0.649638i \(-0.774920\pi\)
0.649638 + 0.760243i \(0.274920\pi\)
\(168\) −15.2993 + 9.20738i −1.18037 + 0.710365i
\(169\) 1.00000i 0.0769231i
\(170\) −4.33888 4.91138i −0.332777 0.376686i
\(171\) 5.44172i 0.416139i
\(172\) 18.6228 13.3786i 1.41998 1.02011i
\(173\) 2.79978 2.79978i 0.212863 0.212863i −0.592620 0.805483i \(-0.701906\pi\)
0.805483 + 0.592620i \(0.201906\pi\)
\(174\) −14.3985 1.17194i −1.09155 0.0888447i
\(175\) −11.0839 10.2554i −0.837866 0.775237i
\(176\) −5.48424 + 16.2839i −0.413390 + 1.22744i
\(177\) −12.0524 12.0524i −0.905912 0.905912i
\(178\) −14.0917 + 11.9704i −1.05621 + 0.897217i
\(179\) −8.68164 −0.648896 −0.324448 0.945904i \(-0.605179\pi\)
−0.324448 + 0.945904i \(0.605179\pi\)
\(180\) 4.90418 3.66949i 0.365536 0.273508i
\(181\) −0.0950279 −0.00706337 −0.00353168 0.999994i \(-0.501124\pi\)
−0.00353168 + 0.999994i \(0.501124\pi\)
\(182\) 3.25517 2.76515i 0.241289 0.204967i
\(183\) −4.85610 4.85610i −0.358974 0.358974i
\(184\) −16.4546 4.09032i −1.21305 0.301542i
\(185\) 8.41920 0.163376i 0.618992 0.0120116i
\(186\) −7.67086 0.624358i −0.562454 0.0457801i
\(187\) 6.29482 6.29482i 0.460323 0.460323i
\(188\) −7.10293 9.88714i −0.518034 0.721093i
\(189\) 10.2929i 0.748698i
\(190\) 12.5404 + 0.776133i 0.909777 + 0.0563066i
\(191\) 5.96438i 0.431567i −0.976441 0.215784i \(-0.930769\pi\)
0.976441 0.215784i \(-0.0692306\pi\)
\(192\) 15.9853 4.91177i 1.15364 0.354476i
\(193\) −3.24110 + 3.24110i −0.233299 + 0.233299i −0.814068 0.580769i \(-0.802752\pi\)
0.580769 + 0.814068i \(0.302752\pi\)
\(194\) 0.700291 8.60377i 0.0502779 0.617715i
\(195\) −3.24040 + 3.36865i −0.232050 + 0.241234i
\(196\) 4.18633 + 0.686026i 0.299024 + 0.0490018i
\(197\) 15.8014 + 15.8014i 1.12580 + 1.12580i 0.990852 + 0.134952i \(0.0430879\pi\)
0.134952 + 0.990852i \(0.456912\pi\)
\(198\) 5.38666 + 6.34123i 0.382813 + 0.450651i
\(199\) 3.64228 0.258195 0.129097 0.991632i \(-0.458792\pi\)
0.129097 + 0.991632i \(0.458792\pi\)
\(200\) 7.75685 + 11.8250i 0.548492 + 0.836155i
\(201\) 17.0568 1.20309
\(202\) −0.286564 0.337346i −0.0201626 0.0237356i
\(203\) 10.4357 + 10.4357i 0.732445 + 0.732445i
\(204\) −8.54999 1.40111i −0.598619 0.0980973i
\(205\) −13.5533 + 14.0897i −0.946606 + 0.984071i
\(206\) −0.549993 + 6.75722i −0.0383199 + 0.470798i
\(207\) −5.80554 + 5.80554i −0.403513 + 0.403513i
\(208\) −3.58325 + 1.77773i −0.248454 + 0.123263i
\(209\) 17.0675i 1.18059i
\(210\) −19.9257 1.23321i −1.37501 0.0850999i
\(211\) 19.8397i 1.36582i 0.730502 + 0.682910i \(0.239286\pi\)
−0.730502 + 0.682910i \(0.760714\pi\)
\(212\) −6.19875 8.62854i −0.425732 0.592611i
\(213\) 17.1896 17.1896i 1.17781 1.17781i
\(214\) 8.97943 + 0.730867i 0.613821 + 0.0499611i
\(215\) 25.6320 0.497392i 1.74809 0.0339219i
\(216\) −2.32546 + 9.35491i −0.158227 + 0.636521i
\(217\) 5.55968 + 5.55968i 0.377416 + 0.377416i
\(218\) 6.15517 5.22861i 0.416881 0.354126i
\(219\) 23.5146 1.58897
\(220\) −15.3816 + 11.5091i −1.03703 + 0.775942i
\(221\) 2.07238 0.139403
\(222\) 8.48474 7.20749i 0.569458 0.483735i
\(223\) −0.645607 0.645607i −0.0432330 0.0432330i 0.685160 0.728393i \(-0.259732\pi\)
−0.728393 + 0.685160i \(0.759732\pi\)
\(224\) −15.6950 6.74838i −1.04867 0.450895i
\(225\) 6.84286 0.265673i 0.456190 0.0177116i
\(226\) −23.3897 1.90377i −1.55586 0.126637i
\(227\) 3.52923 3.52923i 0.234243 0.234243i −0.580218 0.814461i \(-0.697033\pi\)
0.814461 + 0.580218i \(0.197033\pi\)
\(228\) 13.4905 9.69161i 0.893432 0.641842i
\(229\) 16.3084i 1.07769i −0.842406 0.538843i \(-0.818862\pi\)
0.842406 0.538843i \(-0.181138\pi\)
\(230\) −12.5508 14.2068i −0.827575 0.936772i
\(231\) 27.1190i 1.78430i
\(232\) −7.12699 11.8425i −0.467910 0.777495i
\(233\) 20.1489 20.1489i 1.32000 1.32000i 0.406231 0.913770i \(-0.366843\pi\)
0.913770 0.406231i \(-0.133157\pi\)
\(234\) −0.157132 + 1.93053i −0.0102721 + 0.126202i
\(235\) −0.264073 13.6084i −0.0172262 0.887715i
\(236\) 2.63723 16.0932i 0.171669 1.04758i
\(237\) 0.542424 + 0.542424i 0.0352343 + 0.0352343i
\(238\) 5.73044 + 6.74594i 0.371449 + 0.437274i
\(239\) 5.43664 0.351667 0.175833 0.984420i \(-0.443738\pi\)
0.175833 + 0.984420i \(0.443738\pi\)
\(240\) 17.8313 + 5.62262i 1.15100 + 0.362939i
\(241\) 2.60978 0.168111 0.0840554 0.996461i \(-0.473213\pi\)
0.0840554 + 0.996461i \(0.473213\pi\)
\(242\) −6.82346 8.03266i −0.438629 0.516359i
\(243\) 9.37386 + 9.37386i 0.601334 + 0.601334i
\(244\) 1.06259 6.48422i 0.0680251 0.415110i
\(245\) 3.41817 + 3.28803i 0.218379 + 0.210065i
\(246\) −2.09681 + 25.7615i −0.133688 + 1.64249i
\(247\) −2.80949 + 2.80949i −0.178763 + 0.178763i
\(248\) −3.79694 6.30912i −0.241106 0.400630i
\(249\) 19.8947i 1.26078i
\(250\) −0.363730 + 15.8072i −0.0230043 + 0.999735i
\(251\) 18.9575i 1.19659i 0.801277 + 0.598293i \(0.204154\pi\)
−0.801277 + 0.598293i \(0.795846\pi\)
\(252\) −6.71868 + 4.82670i −0.423237 + 0.304054i
\(253\) 18.2086 18.2086i 1.14477 1.14477i
\(254\) −29.1978 2.37651i −1.83203 0.149116i
\(255\) −6.98112 6.71534i −0.437175 0.420531i
\(256\) 12.7401 + 9.67936i 0.796256 + 0.604960i
\(257\) 6.12196 + 6.12196i 0.381878 + 0.381878i 0.871778 0.489901i \(-0.162967\pi\)
−0.489901 + 0.871778i \(0.662967\pi\)
\(258\) 25.8315 21.9430i 1.60820 1.36611i
\(259\) −11.3734 −0.706709
\(260\) −4.42647 0.637454i −0.274518 0.0395332i
\(261\) −6.69282 −0.414275
\(262\) −18.9788 + 16.1219i −1.17252 + 0.996013i
\(263\) −20.6073 20.6073i −1.27070 1.27070i −0.945721 0.324979i \(-0.894643\pi\)
−0.324979 0.945721i \(-0.605357\pi\)
\(264\) −6.12695 + 24.6476i −0.377088 + 1.51696i
\(265\) −0.230458 11.8761i −0.0141569 0.729544i
\(266\) −16.9140 1.37669i −1.03706 0.0844102i
\(267\) −19.3249 + 19.3249i −1.18267 + 1.18267i
\(268\) 9.52158 + 13.2538i 0.581623 + 0.809607i
\(269\) 3.60317i 0.219689i −0.993949 0.109845i \(-0.964965\pi\)
0.993949 0.109845i \(-0.0350354\pi\)
\(270\) −8.07698 + 7.13547i −0.491549 + 0.434251i
\(271\) 0.457132i 0.0277688i 0.999904 + 0.0138844i \(0.00441968\pi\)
−0.999904 + 0.0138844i \(0.995580\pi\)
\(272\) −3.68413 7.42585i −0.223383 0.450258i
\(273\) 4.46405 4.46405i 0.270177 0.270177i
\(274\) 1.41161 17.3430i 0.0852783 1.04773i
\(275\) −21.4621 + 0.833264i −1.29421 + 0.0502477i
\(276\) −24.7320 4.05290i −1.48869 0.243956i
\(277\) 12.0146 + 12.0146i 0.721888 + 0.721888i 0.968990 0.247101i \(-0.0794781\pi\)
−0.247101 + 0.968990i \(0.579478\pi\)
\(278\) 13.3623 + 15.7302i 0.801417 + 0.943436i
\(279\) −3.56563 −0.213469
\(280\) −10.1648 16.1716i −0.607466 0.966436i
\(281\) −10.5016 −0.626473 −0.313236 0.949675i \(-0.601413\pi\)
−0.313236 + 0.949675i \(0.601413\pi\)
\(282\) −11.6499 13.7144i −0.693740 0.816678i
\(283\) 5.62753 + 5.62753i 0.334522 + 0.334522i 0.854301 0.519779i \(-0.173986\pi\)
−0.519779 + 0.854301i \(0.673986\pi\)
\(284\) 22.9528 + 3.76133i 1.36200 + 0.223194i
\(285\) 18.5680 0.360316i 1.09988 0.0213433i
\(286\) 0.492833 6.05495i 0.0291418 0.358036i
\(287\) 18.6714 18.6714i 1.10214 1.10214i
\(288\) 7.19689 2.86891i 0.424081 0.169052i
\(289\) 12.7052i 0.747367i
\(290\) 0.954573 15.4236i 0.0560544 0.905702i
\(291\) 12.7593i 0.747966i
\(292\) 13.1265 + 18.2719i 0.768171 + 1.06928i
\(293\) 6.46294 6.46294i 0.377569 0.377569i −0.492655 0.870224i \(-0.663974\pi\)
0.870224 + 0.492655i \(0.163974\pi\)
\(294\) 6.24972 + 0.508686i 0.364491 + 0.0296672i
\(295\) 12.6399 13.1402i 0.735925 0.765052i
\(296\) 10.3370 + 2.56958i 0.600823 + 0.149354i
\(297\) −10.3521 10.3521i −0.600690 0.600690i
\(298\) −18.9461 + 16.0941i −1.09752 + 0.932306i
\(299\) 5.99464 0.346679
\(300\) 12.8456 + 16.4909i 0.741643 + 0.952103i
\(301\) −34.6260 −1.99581
\(302\) −14.3785 + 12.2140i −0.827389 + 0.702839i
\(303\) −0.462628 0.462628i −0.0265773 0.0265773i
\(304\) 15.0616 + 5.07259i 0.863842 + 0.290933i
\(305\) 5.09284 5.29440i 0.291615 0.303157i
\(306\) −4.00078 0.325637i −0.228709 0.0186155i
\(307\) 8.42038 8.42038i 0.480576 0.480576i −0.424739 0.905316i \(-0.639634\pi\)
0.905316 + 0.424739i \(0.139634\pi\)
\(308\) 21.0726 15.1386i 1.20072 0.862601i
\(309\) 10.0209i 0.570070i
\(310\) 0.508553 8.21697i 0.0288839 0.466692i
\(311\) 6.97059i 0.395266i −0.980276 0.197633i \(-0.936675\pi\)
0.980276 0.197633i \(-0.0633254\pi\)
\(312\) −5.06580 + 3.04869i −0.286794 + 0.172598i
\(313\) −4.53807 + 4.53807i −0.256507 + 0.256507i −0.823632 0.567125i \(-0.808056\pi\)
0.567125 + 0.823632i \(0.308056\pi\)
\(314\) 0.606538 7.45192i 0.0342289 0.420536i
\(315\) −9.24743 + 0.179448i −0.521034 + 0.0101107i
\(316\) −0.118690 + 0.724284i −0.00667685 + 0.0407442i
\(317\) −9.39642 9.39642i −0.527755 0.527755i 0.392147 0.919902i \(-0.371732\pi\)
−0.919902 + 0.392147i \(0.871732\pi\)
\(318\) −10.1669 11.9686i −0.570131 0.671164i
\(319\) 20.9915 1.17530
\(320\) 5.58491 + 16.9944i 0.312206 + 0.950014i
\(321\) 13.3165 0.743252
\(322\) 16.5761 + 19.5135i 0.923749 + 1.08745i
\(323\) −5.82232 5.82232i −0.323963 0.323963i
\(324\) −3.63310 + 22.1703i −0.201839 + 1.23168i
\(325\) −3.67004 3.39571i −0.203577 0.188360i
\(326\) 1.99358 24.4931i 0.110414 1.35655i
\(327\) 8.44104 8.44104i 0.466791 0.466791i
\(328\) −21.1883 + 12.7515i −1.16993 + 0.704082i
\(329\) 18.3835i 1.01351i
\(330\) −21.2806 + 18.8000i −1.17146 + 1.03491i
\(331\) 23.5550i 1.29470i 0.762193 + 0.647350i \(0.224123\pi\)
−0.762193 + 0.647350i \(0.775877\pi\)
\(332\) 15.4591 11.1058i 0.848427 0.609511i
\(333\) 3.64709 3.64709i 0.199860 0.199860i
\(334\) −2.84924 0.231910i −0.155904 0.0126895i
\(335\) 0.353994 + 18.2423i 0.0193408 + 0.996682i
\(336\) −23.9317 8.05994i −1.30558 0.439706i
\(337\) 18.3649 + 18.3649i 1.00040 + 1.00040i 1.00000 0.000402010i \(0.000127964\pi\)
0.000402010 1.00000i \(0.499872\pi\)
\(338\) 1.07783 0.915579i 0.0586262 0.0498009i
\(339\) −34.6868 −1.88393
\(340\) 1.32105 9.17333i 0.0716438 0.497493i
\(341\) 11.1833 0.605611
\(342\) 5.86525 4.98232i 0.317156 0.269413i
\(343\) 10.4191 + 10.4191i 0.562580 + 0.562580i
\(344\) 31.4705 + 7.82300i 1.69678 + 0.421788i
\(345\) −20.1938 19.4250i −1.08720 1.04581i
\(346\) 5.58109 + 0.454265i 0.300042 + 0.0244214i
\(347\) −4.92152 + 4.92152i −0.264201 + 0.264201i −0.826758 0.562557i \(-0.809818\pi\)
0.562557 + 0.826758i \(0.309818\pi\)
\(348\) −11.9198 16.5921i −0.638968 0.889430i
\(349\) 27.7646i 1.48620i 0.669178 + 0.743102i \(0.266646\pi\)
−0.669178 + 0.743102i \(0.733354\pi\)
\(350\) 0.905391 21.3362i 0.0483952 1.14047i
\(351\) 3.40812i 0.181912i
\(352\) −22.5725 + 8.99811i −1.20312 + 0.479601i
\(353\) 13.3210 13.3210i 0.709006 0.709006i −0.257320 0.966326i \(-0.582839\pi\)
0.966326 + 0.257320i \(0.0828394\pi\)
\(354\) 1.95550 24.0253i 0.103934 1.27693i
\(355\) 18.7411 + 18.0276i 0.994674 + 0.956805i
\(356\) −25.8040 4.22857i −1.36761 0.224114i
\(357\) 9.25121 + 9.25121i 0.489626 + 0.489626i
\(358\) −7.94872 9.35732i −0.420103 0.494550i
\(359\) −8.90624 −0.470053 −0.235027 0.971989i \(-0.575518\pi\)
−0.235027 + 0.971989i \(0.575518\pi\)
\(360\) 8.44525 + 1.92616i 0.445104 + 0.101518i
\(361\) −3.21358 −0.169136
\(362\) −0.0870055 0.102424i −0.00457291 0.00538328i
\(363\) −11.0158 11.0158i −0.578178 0.578178i
\(364\) 5.96072 + 0.976799i 0.312427 + 0.0511982i
\(365\) 0.488019 + 25.1489i 0.0255441 + 1.31636i
\(366\) 0.787905 9.68020i 0.0411845 0.505992i
\(367\) 10.3401 10.3401i 0.539747 0.539747i −0.383708 0.923455i \(-0.625353\pi\)
0.923455 + 0.383708i \(0.125353\pi\)
\(368\) −10.6568 21.4803i −0.555526 1.11974i
\(369\) 11.9746i 0.623375i
\(370\) 7.88453 + 8.92487i 0.409897 + 0.463982i
\(371\) 16.0433i 0.832928i
\(372\) −6.35032 8.83952i −0.329249 0.458308i
\(373\) −12.7410 + 12.7410i −0.659704 + 0.659704i −0.955310 0.295606i \(-0.904478\pi\)
0.295606 + 0.955310i \(0.404478\pi\)
\(374\) 12.5481 + 1.02134i 0.648849 + 0.0528121i
\(375\) 1.35961 + 23.3313i 0.0702100 + 1.20483i
\(376\) 4.15335 16.7082i 0.214193 0.861659i
\(377\) 3.45541 + 3.45541i 0.177963 + 0.177963i
\(378\) 11.0940 9.42396i 0.570613 0.484716i
\(379\) −21.1631 −1.08707 −0.543536 0.839386i \(-0.682915\pi\)
−0.543536 + 0.839386i \(0.682915\pi\)
\(380\) 10.6452 + 14.2270i 0.546087 + 0.729831i
\(381\) −43.3002 −2.21834
\(382\) 6.42858 5.46086i 0.328915 0.279402i
\(383\) 3.58070 + 3.58070i 0.182965 + 0.182965i 0.792647 0.609681i \(-0.208703\pi\)
−0.609681 + 0.792647i \(0.708703\pi\)
\(384\) 19.9298 + 12.7323i 1.01704 + 0.649742i
\(385\) 29.0038 0.562824i 1.47817 0.0286842i
\(386\) −6.46083 0.525869i −0.328848 0.0267660i
\(387\) 11.1035 11.1035i 0.564421 0.564421i
\(388\) 9.91456 7.12263i 0.503336 0.361597i
\(389\) 28.5321i 1.44664i −0.690515 0.723318i \(-0.742616\pi\)
0.690515 0.723318i \(-0.257384\pi\)
\(390\) −6.59767 0.408334i −0.334086 0.0206768i
\(391\) 12.4232i 0.628266i
\(392\) 3.09350 + 5.14026i 0.156245 + 0.259623i
\(393\) −26.0271 + 26.0271i −1.31289 + 1.31289i
\(394\) −2.56379 + 31.4987i −0.129162 + 1.58688i
\(395\) −0.568868 + 0.591382i −0.0286228 + 0.0297557i
\(396\) −1.90285 + 11.6118i −0.0956220 + 0.583514i
\(397\) 18.2367 + 18.2367i 0.915275 + 0.915275i 0.996681 0.0814058i \(-0.0259410\pi\)
−0.0814058 + 0.996681i \(0.525941\pi\)
\(398\) 3.33480 + 3.92576i 0.167158 + 0.196780i
\(399\) −25.0834 −1.25574
\(400\) −5.64334 + 19.1873i −0.282167 + 0.959365i
\(401\) −25.8190 −1.28934 −0.644669 0.764462i \(-0.723005\pi\)
−0.644669 + 0.764462i \(0.723005\pi\)
\(402\) 15.6168 + 18.3843i 0.778896 + 0.916925i
\(403\) 1.84089 + 1.84089i 0.0917010 + 0.0917010i
\(404\) 0.101230 0.617734i 0.00503636 0.0307334i
\(405\) −17.4130 + 18.1022i −0.865259 + 0.899504i
\(406\) −1.69320 + 20.8027i −0.0840322 + 1.03242i
\(407\) −11.4388 + 11.4388i −0.567002 + 0.567002i
\(408\) −6.31803 10.4983i −0.312789 0.519741i
\(409\) 7.10884i 0.351510i −0.984434 0.175755i \(-0.943763\pi\)
0.984434 0.175755i \(-0.0562366\pi\)
\(410\) −27.5955 1.70790i −1.36284 0.0843472i
\(411\) 25.7196i 1.26865i
\(412\) −7.78669 + 5.59397i −0.383623 + 0.275595i
\(413\) −17.4131 + 17.4131i −0.856841 + 0.856841i
\(414\) −11.5728 0.941951i −0.568772 0.0462944i
\(415\) 21.2775 0.412893i 1.04447 0.0202681i
\(416\) −5.19684 2.23448i −0.254796 0.109554i
\(417\) 21.5720 + 21.5720i 1.05639 + 1.05639i
\(418\) −18.3959 + 15.6267i −0.899773 + 0.764326i
\(419\) 28.0231 1.36902 0.684508 0.729005i \(-0.260017\pi\)
0.684508 + 0.729005i \(0.260017\pi\)
\(420\) −16.9144 22.6056i −0.825337 1.10304i
\(421\) 13.5079 0.658333 0.329167 0.944272i \(-0.393232\pi\)
0.329167 + 0.944272i \(0.393232\pi\)
\(422\) −21.3838 + 18.1648i −1.04095 + 0.884249i
\(423\) −5.89500 5.89500i −0.286625 0.286625i
\(424\) 3.62465 14.5813i 0.176028 0.708131i
\(425\) 7.03720 7.60570i 0.341354 0.368931i
\(426\) 34.2659 + 2.78902i 1.66019 + 0.135128i
\(427\) −7.01601 + 7.01601i −0.339529 + 0.339529i
\(428\) 7.43363 + 10.3475i 0.359318 + 0.500163i
\(429\) 8.97946i 0.433532i
\(430\) 24.0042 + 27.1715i 1.15759 + 1.31033i
\(431\) 29.9171i 1.44106i 0.693425 + 0.720529i \(0.256101\pi\)
−0.693425 + 0.720529i \(0.743899\pi\)
\(432\) −12.2121 + 6.05871i −0.587557 + 0.291500i
\(433\) 26.5560 26.5560i 1.27620 1.27620i 0.333422 0.942778i \(-0.391797\pi\)
0.942778 0.333422i \(-0.108203\pi\)
\(434\) −0.902061 + 11.0827i −0.0433003 + 0.531987i
\(435\) −0.443155 22.8370i −0.0212477 1.09495i
\(436\) 11.2711 + 1.84702i 0.539787 + 0.0884563i
\(437\) −16.8419 16.8419i −0.805655 0.805655i
\(438\) 21.5295 + 25.3447i 1.02872 + 1.21102i
\(439\) 7.05856 0.336886 0.168443 0.985711i \(-0.446126\pi\)
0.168443 + 0.985711i \(0.446126\pi\)
\(440\) −26.4879 6.04126i −1.26276 0.288006i
\(441\) 2.90504 0.138335
\(442\) 1.89743 + 2.23367i 0.0902514 + 0.106245i
\(443\) 23.3647 + 23.3647i 1.11009 + 1.11009i 0.993138 + 0.116951i \(0.0373121\pi\)
0.116951 + 0.993138i \(0.462688\pi\)
\(444\) 15.5369 + 2.54607i 0.737348 + 0.120831i
\(445\) −21.0692 20.2670i −0.998774 0.960749i
\(446\) 0.104750 1.28696i 0.00496005 0.0609392i
\(447\) −25.9823 + 25.9823i −1.22892 + 1.22892i
\(448\) −7.09643 23.0952i −0.335275 1.09115i
\(449\) 35.3071i 1.66625i 0.553087 + 0.833123i \(0.313450\pi\)
−0.553087 + 0.833123i \(0.686550\pi\)
\(450\) 6.55152 + 7.13218i 0.308842 + 0.336214i
\(451\) 37.5576i 1.76852i
\(452\) −19.3631 26.9531i −0.910766 1.26777i
\(453\) −19.7183 + 19.7183i −0.926446 + 0.926446i
\(454\) 7.03520 + 0.572620i 0.330178 + 0.0268744i
\(455\) 4.86697 + 4.68167i 0.228167 + 0.219480i
\(456\) 22.7975 + 5.66705i 1.06759 + 0.265384i
\(457\) 1.06008 + 1.06008i 0.0495883 + 0.0495883i 0.731466 0.681878i \(-0.238836\pi\)
−0.681878 + 0.731466i \(0.738836\pi\)
\(458\) 17.5776 14.9316i 0.821348 0.697707i
\(459\) 7.06291 0.329668
\(460\) 3.82131 26.5351i 0.178169 1.23721i
\(461\) −8.62625 −0.401764 −0.200882 0.979615i \(-0.564381\pi\)
−0.200882 + 0.979615i \(0.564381\pi\)
\(462\) 29.2296 24.8296i 1.35989 1.15518i
\(463\) −26.6830 26.6830i −1.24006 1.24006i −0.959974 0.280090i \(-0.909636\pi\)
−0.280090 0.959974i \(-0.590364\pi\)
\(464\) 6.23882 18.5244i 0.289630 0.859973i
\(465\) −0.236093 12.1665i −0.0109485 0.564208i
\(466\) 40.1651 + 3.26918i 1.86061 + 0.151442i
\(467\) 7.93447 7.93447i 0.367164 0.367164i −0.499278 0.866442i \(-0.666401\pi\)
0.866442 + 0.499278i \(0.166401\pi\)
\(468\) −2.22464 + 1.59819i −0.102834 + 0.0738762i
\(469\) 24.6433i 1.13792i
\(470\) 14.4258 12.7442i 0.665411 0.587846i
\(471\) 11.0512i 0.509211i
\(472\) 19.7603 11.8921i 0.909542 0.547378i
\(473\) −34.8251 + 34.8251i −1.60126 + 1.60126i
\(474\) −0.0880086 + 1.08127i −0.00404237 + 0.0496645i
\(475\) 0.770718 + 19.8511i 0.0353630 + 0.910831i
\(476\) −2.02430 + 12.3529i −0.0927835 + 0.566193i
\(477\) −5.14459 5.14459i −0.235555 0.235555i
\(478\) 4.97767 + 5.85977i 0.227673 + 0.268019i
\(479\) −4.69895 −0.214701 −0.107350 0.994221i \(-0.534237\pi\)
−0.107350 + 0.994221i \(0.534237\pi\)
\(480\) 10.2657 + 24.3670i 0.468563 + 1.11220i
\(481\) −3.76589 −0.171710
\(482\) 2.38946 + 2.81290i 0.108837 + 0.128124i
\(483\) 26.7604 + 26.7604i 1.21764 + 1.21764i
\(484\) 2.41041 14.7091i 0.109564 0.668594i
\(485\) 13.6462 0.264806i 0.619641 0.0120242i
\(486\) −1.52091 + 18.6859i −0.0689900 + 0.847611i
\(487\) 14.5908 14.5908i 0.661174 0.661174i −0.294483 0.955657i \(-0.595147\pi\)
0.955657 + 0.294483i \(0.0951473\pi\)
\(488\) 7.96176 4.79153i 0.360412 0.216902i
\(489\) 36.3231i 1.64259i
\(490\) −0.414336 + 6.69465i −0.0187178 + 0.302434i
\(491\) 5.90527i 0.266501i −0.991082 0.133251i \(-0.957458\pi\)
0.991082 0.133251i \(-0.0425415\pi\)
\(492\) −29.6862 + 21.3266i −1.33836 + 0.961479i
\(493\) −7.16092 + 7.16092i −0.322512 + 0.322512i
\(494\) −5.60045 0.455840i −0.251976 0.0205092i
\(495\) −9.12014 + 9.48110i −0.409920 + 0.426144i
\(496\) 3.32376 9.86895i 0.149241 0.443129i
\(497\) −24.8352 24.8352i −1.11401 1.11401i
\(498\) 21.4431 18.2152i 0.960890 0.816243i
\(499\) −11.0646 −0.495318 −0.247659 0.968847i \(-0.579661\pi\)
−0.247659 + 0.968847i \(0.579661\pi\)
\(500\) −17.3705 + 14.0807i −0.776832 + 0.629708i
\(501\) −4.22541 −0.188777
\(502\) −20.4329 + 17.3571i −0.911967 + 0.774684i
\(503\) −25.8572 25.8572i −1.15292 1.15292i −0.985965 0.166950i \(-0.946608\pi\)
−0.166950 0.985965i \(-0.553392\pi\)
\(504\) −11.3538 2.82236i −0.505740 0.125718i
\(505\) 0.485181 0.504383i 0.0215903 0.0224448i
\(506\) 36.2972 + 2.95436i 1.61361 + 0.131337i
\(507\) 1.47811 1.47811i 0.0656450 0.0656450i
\(508\) −24.1714 33.6461i −1.07243 1.49281i
\(509\) 5.44003i 0.241125i −0.992706 0.120562i \(-0.961530\pi\)
0.992706 0.120562i \(-0.0384698\pi\)
\(510\) 0.846222 13.6729i 0.0374714 0.605445i
\(511\) 33.9735i 1.50290i
\(512\) 1.23186 + 22.5939i 0.0544411 + 0.998517i
\(513\) −9.57506 + 9.57506i −0.422749 + 0.422749i
\(514\) −0.993291 + 12.2036i −0.0438122 + 0.538276i
\(515\) −10.7174 + 0.207973i −0.472266 + 0.00916439i
\(516\) 47.3016 + 7.75143i 2.08233 + 0.341238i
\(517\) 18.4892 + 18.4892i 0.813155 + 0.813155i
\(518\) −10.4133 12.2586i −0.457532 0.538612i
\(519\) 8.27674 0.363308
\(520\) −3.36572 5.35462i −0.147596 0.234816i
\(521\) −23.4237 −1.02621 −0.513104 0.858326i \(-0.671505\pi\)
−0.513104 + 0.858326i \(0.671505\pi\)
\(522\) −6.12780 7.21371i −0.268207 0.315736i
\(523\) 5.53017 + 5.53017i 0.241818 + 0.241818i 0.817602 0.575784i \(-0.195303\pi\)
−0.575784 + 0.817602i \(0.695303\pi\)
\(524\) −34.7533 5.69511i −1.51820 0.248792i
\(525\) −1.22461 31.5418i −0.0534464 1.37660i
\(526\) 3.34354 41.0787i 0.145785 1.79112i
\(527\) −3.81501 + 3.81501i −0.166185 + 0.166185i
\(528\) −32.1756 + 15.9630i −1.40026 + 0.694702i
\(529\) 12.9357i 0.562422i
\(530\) 12.5894 11.1219i 0.546850 0.483105i
\(531\) 11.1676i 0.484634i
\(532\) −14.0023 19.4909i −0.607075 0.845036i
\(533\) 6.18234 6.18234i 0.267787 0.267787i
\(534\) −38.5225 3.13548i −1.66703 0.135685i
\(535\) 0.276368 + 14.2420i 0.0119484 + 0.615735i
\(536\) −5.56763 + 22.3976i −0.240485 + 0.967428i
\(537\) −12.8324 12.8324i −0.553759 0.553759i
\(538\) 3.88361 3.29899i 0.167434 0.142230i
\(539\) −9.11145 −0.392458
\(540\) −15.0859 2.17252i −0.649195 0.0934903i
\(541\) 0.785688 0.0337794 0.0168897 0.999857i \(-0.494624\pi\)
0.0168897 + 0.999857i \(0.494624\pi\)
\(542\) −0.492710 + 0.418540i −0.0211637 + 0.0179778i
\(543\) −0.140461 0.140461i −0.00602778 0.00602778i
\(544\) 4.63069 10.7698i 0.198539 0.461752i
\(545\) 9.20291 + 8.85254i 0.394209 + 0.379201i
\(546\) 8.89868 + 0.724294i 0.380828 + 0.0309969i
\(547\) 16.8148 16.8148i 0.718948 0.718948i −0.249442 0.968390i \(-0.580247\pi\)
0.968390 + 0.249442i \(0.0802472\pi\)
\(548\) 19.9852 14.3574i 0.853727 0.613318i
\(549\) 4.49963i 0.192039i
\(550\) −20.5483 22.3695i −0.876185 0.953841i
\(551\) 19.4159i 0.827143i
\(552\) −18.2758 30.3676i −0.777869 1.29253i
\(553\) 0.783685 0.783685i 0.0333257 0.0333257i
\(554\) −1.94938 + 23.9500i −0.0828211 + 1.01754i
\(555\) 12.6860 + 12.2030i 0.538489 + 0.517988i
\(556\) −4.72027 + 28.8045i −0.200184 + 1.22158i
\(557\) 2.57032 + 2.57032i 0.108908 + 0.108908i 0.759461 0.650553i \(-0.225463\pi\)
−0.650553 + 0.759461i \(0.725463\pi\)
\(558\) −3.26461 3.84314i −0.138202 0.162693i
\(559\) −11.4651 −0.484923
\(560\) 8.12346 25.7623i 0.343279 1.08866i
\(561\) 18.6088 0.785666
\(562\) −9.61504 11.3189i −0.405586 0.477460i
\(563\) 2.93473 + 2.93473i 0.123684 + 0.123684i 0.766239 0.642555i \(-0.222126\pi\)
−0.642555 + 0.766239i \(0.722126\pi\)
\(564\) 4.11536 25.1131i 0.173288 1.05745i
\(565\) −0.719885 37.0976i −0.0302858 1.56071i
\(566\) −0.913070 + 11.2180i −0.0383792 + 0.471527i
\(567\) 23.9885 23.9885i 1.00742 1.00742i
\(568\) 16.9610 + 28.1830i 0.711668 + 1.18253i
\(569\) 36.2332i 1.51898i −0.650522 0.759488i \(-0.725450\pi\)
0.650522 0.759488i \(-0.274550\pi\)
\(570\) 17.3889 + 19.6833i 0.728339 + 0.824442i
\(571\) 24.0261i 1.00546i −0.864443 0.502731i \(-0.832329\pi\)
0.864443 0.502731i \(-0.167671\pi\)
\(572\) 6.97742 5.01259i 0.291741 0.209587i
\(573\) 8.81599 8.81599i 0.368293 0.368293i
\(574\) 37.2197 + 3.02944i 1.55352 + 0.126446i
\(575\) 20.3560 22.0005i 0.848906 0.917486i
\(576\) 9.68152 + 5.13031i 0.403396 + 0.213763i
\(577\) 9.55937 + 9.55937i 0.397962 + 0.397962i 0.877514 0.479552i \(-0.159201\pi\)
−0.479552 + 0.877514i \(0.659201\pi\)
\(578\) 13.6941 11.6327i 0.569599 0.483855i
\(579\) −9.58138 −0.398189
\(580\) 17.4979 13.0926i 0.726562 0.543641i
\(581\) −28.7436 −1.19248
\(582\) 13.7524 11.6822i 0.570055 0.484242i
\(583\) 16.1356 + 16.1356i 0.668269 + 0.668269i
\(584\) −7.67557 + 30.8775i −0.317617 + 1.27772i
\(585\) −3.06195 + 0.0594175i −0.126596 + 0.00245661i
\(586\) 12.8833 + 1.04861i 0.532203 + 0.0433179i
\(587\) 17.7970 17.7970i 0.734561 0.734561i −0.236959 0.971520i \(-0.576151\pi\)
0.971520 + 0.236959i \(0.0761506\pi\)
\(588\) 5.17383 + 7.20187i 0.213365 + 0.297000i
\(589\) 10.3439i 0.426212i
\(590\) 25.7357 + 1.59280i 1.05952 + 0.0655745i
\(591\) 46.7124i 1.92149i
\(592\) 6.69473 + 13.4941i 0.275152 + 0.554605i
\(593\) −16.8802 + 16.8802i −0.693186 + 0.693186i −0.962932 0.269745i \(-0.913060\pi\)
0.269745 + 0.962932i \(0.413060\pi\)
\(594\) 1.67963 20.6360i 0.0689162 0.846704i
\(595\) −9.70220 + 10.0862i −0.397752 + 0.413494i
\(596\) −34.6934 5.68529i −1.42110 0.232879i
\(597\) 5.38368 + 5.38368i 0.220339 + 0.220339i
\(598\) 5.48856 + 6.46120i 0.224444 + 0.264218i
\(599\) 12.1814 0.497720 0.248860 0.968540i \(-0.419944\pi\)
0.248860 + 0.968540i \(0.419944\pi\)
\(600\) −6.01319 + 28.9441i −0.245488 + 1.18164i
\(601\) 37.1958 1.51725 0.758625 0.651528i \(-0.225872\pi\)
0.758625 + 0.651528i \(0.225872\pi\)
\(602\) −31.7028 37.3209i −1.29211 1.52109i
\(603\) 7.90233 + 7.90233i 0.321808 + 0.321808i
\(604\) −26.3293 4.31465i −1.07132 0.175561i
\(605\) 11.5528 12.0100i 0.469688 0.488277i
\(606\) 0.0750616 0.922206i 0.00304917 0.0374621i
\(607\) −25.7475 + 25.7475i −1.04506 + 1.04506i −0.0461224 + 0.998936i \(0.514686\pi\)
−0.998936 + 0.0461224i \(0.985314\pi\)
\(608\) 8.32269 + 20.8782i 0.337530 + 0.846722i
\(609\) 30.8503i 1.25012i
\(610\) 10.3694 + 0.641766i 0.419843 + 0.0259843i
\(611\) 6.08702i 0.246254i
\(612\) −3.31205 4.61030i −0.133882 0.186361i
\(613\) 4.19878 4.19878i 0.169587 0.169587i −0.617211 0.786798i \(-0.711737\pi\)
0.786798 + 0.617211i \(0.211737\pi\)
\(614\) 16.7853 + 1.36621i 0.677398 + 0.0551358i
\(615\) −40.8594 + 0.792884i −1.64761 + 0.0319722i
\(616\) 35.6104 + 8.85211i 1.43479 + 0.356662i
\(617\) −3.86200 3.86200i −0.155478 0.155478i 0.625081 0.780560i \(-0.285066\pi\)
−0.780560 + 0.625081i \(0.785066\pi\)
\(618\) −10.8008 + 9.17494i −0.434474 + 0.369070i
\(619\) −23.5422 −0.946242 −0.473121 0.880997i \(-0.656873\pi\)
−0.473121 + 0.880997i \(0.656873\pi\)
\(620\) 9.32211 6.97515i 0.374385 0.280129i
\(621\) 20.4304 0.819845
\(622\) 7.51310 6.38212i 0.301248 0.255900i
\(623\) 27.9203 + 27.9203i 1.11860 + 1.11860i
\(624\) −7.92410 2.66875i −0.317218 0.106836i
\(625\) −24.9247 + 1.93832i −0.996990 + 0.0775330i
\(626\) −9.04622 0.736303i −0.361560 0.0294286i
\(627\) −25.2277 + 25.2277i −1.00750 + 1.00750i
\(628\) 8.58723 6.16907i 0.342668 0.246173i
\(629\) 7.80435i 0.311180i
\(630\) −8.66016 9.80285i −0.345029 0.390555i
\(631\) 19.7621i 0.786715i 0.919386 + 0.393357i \(0.128686\pi\)
−0.919386 + 0.393357i \(0.871314\pi\)
\(632\) −0.889325 + 0.535211i −0.0353754 + 0.0212896i
\(633\) −29.3252 + 29.3252i −1.16557 + 1.16557i
\(634\) 1.52457 18.7309i 0.0605485 0.743899i
\(635\) −0.898648 46.3097i −0.0356617 1.83775i
\(636\) 3.59149 21.9163i 0.142412 0.869039i
\(637\) −1.49983 1.49983i −0.0594256 0.0594256i
\(638\) 19.2194 + 22.6253i 0.760902 + 0.895743i
\(639\) 15.9277 0.630092
\(640\) −13.2036 + 21.5793i −0.521918 + 0.852995i
\(641\) −1.45519 −0.0574767 −0.0287384 0.999587i \(-0.509149\pi\)
−0.0287384 + 0.999587i \(0.509149\pi\)
\(642\) 12.1923 + 14.3529i 0.481190 + 0.566462i
\(643\) 8.68907 + 8.68907i 0.342663 + 0.342663i 0.857368 0.514704i \(-0.172098\pi\)
−0.514704 + 0.857368i \(0.672098\pi\)
\(644\) −5.85556 + 35.7324i −0.230741 + 1.40805i
\(645\) 38.6220 + 37.1516i 1.52074 + 1.46284i
\(646\) 0.944674 11.6063i 0.0371677 0.456642i
\(647\) −14.5217 + 14.5217i −0.570908 + 0.570908i −0.932382 0.361474i \(-0.882274\pi\)
0.361474 + 0.932382i \(0.382274\pi\)
\(648\) −27.2222 + 16.3828i −1.06939 + 0.643576i
\(649\) 35.0264i 1.37491i
\(650\) 0.299787 7.06471i 0.0117586 0.277101i
\(651\) 16.4356i 0.644163i
\(652\) 28.2246 20.2766i 1.10536 0.794093i
\(653\) −6.97993 + 6.97993i −0.273146 + 0.273146i −0.830365 0.557220i \(-0.811868\pi\)
0.557220 + 0.830365i \(0.311868\pi\)
\(654\) 16.8264 + 1.36956i 0.657966 + 0.0535541i
\(655\) −28.3762 27.2959i −1.10875 1.06654i
\(656\) −33.1434 11.1624i −1.29403 0.435817i
\(657\) 10.8942 + 10.8942i 0.425024 + 0.425024i
\(658\) −19.8142 + 16.8315i −0.772440 + 0.656161i
\(659\) 9.51098 0.370495 0.185248 0.982692i \(-0.440691\pi\)
0.185248 + 0.982692i \(0.440691\pi\)
\(660\) −39.7473 5.72399i −1.54716 0.222806i
\(661\) 35.1819 1.36842 0.684209 0.729286i \(-0.260147\pi\)
0.684209 + 0.729286i \(0.260147\pi\)
\(662\) −25.3883 + 21.5665i −0.986743 + 0.838205i
\(663\) 3.06320 + 3.06320i 0.118965 + 0.118965i
\(664\) 26.1242 + 6.49399i 1.01381 + 0.252016i
\(665\) −0.520578 26.8268i −0.0201871 1.04030i
\(666\) 7.27015 + 0.591742i 0.281712 + 0.0229296i
\(667\) −20.7139 + 20.7139i −0.802047 + 0.802047i
\(668\) −2.35875 3.28333i −0.0912626 0.127036i
\(669\) 1.90855i 0.0737889i
\(670\) −19.3379 + 17.0838i −0.747090 + 0.660004i
\(671\) 14.1127i 0.544816i
\(672\) −13.2241 33.1738i −0.510131 1.27971i
\(673\) 0.548448 0.548448i 0.0211411 0.0211411i −0.696457 0.717598i \(-0.745241\pi\)
0.717598 + 0.696457i \(0.245241\pi\)
\(674\) −2.97972 + 36.6088i −0.114774 + 1.41012i
\(675\) −12.5079 11.5730i −0.481430 0.445444i
\(676\) 1.97367 + 0.323431i 0.0759106 + 0.0124397i
\(677\) 10.9214 + 10.9214i 0.419744 + 0.419744i 0.885116 0.465371i \(-0.154079\pi\)
−0.465371 + 0.885116i \(0.654079\pi\)
\(678\) −31.7585 37.3864i −1.21968 1.43582i
\(679\) −18.4345 −0.707450
\(680\) 11.0968 6.97504i 0.425543 0.267481i
\(681\) 10.4332 0.399800
\(682\) 10.2392 + 12.0537i 0.392080 + 0.461560i
\(683\) −17.9651 17.9651i −0.687415 0.687415i 0.274245 0.961660i \(-0.411572\pi\)
−0.961660 + 0.274245i \(0.911572\pi\)
\(684\) 10.7402 + 1.76002i 0.410661 + 0.0672961i
\(685\) 27.5072 0.533781i 1.05100 0.0203947i
\(686\) −1.69051 + 20.7696i −0.0645439 + 0.792986i
\(687\) 24.1055 24.1055i 0.919682 0.919682i
\(688\) 20.3819 + 41.0824i 0.777052 + 1.56625i
\(689\) 5.31216i 0.202377i
\(690\) 2.44781 39.5507i 0.0931867 1.50567i
\(691\) 14.6928i 0.558939i 0.960155 + 0.279470i \(0.0901586\pi\)
−0.960155 + 0.279470i \(0.909841\pi\)
\(692\) 4.62031 + 6.43138i 0.175638 + 0.244484i
\(693\) 12.5641 12.5641i 0.477271 0.477271i
\(694\) −9.81060 0.798519i −0.372405 0.0303114i
\(695\) −22.6237 + 23.5191i −0.858164 + 0.892129i
\(696\) 6.96995 28.0389i 0.264195 1.06281i
\(697\) 12.8122 + 12.8122i 0.485295 + 0.485295i
\(698\) −29.9255 + 25.4207i −1.13270 + 0.962186i
\(699\) 59.5646 2.25294
\(700\) 23.8258 18.5591i 0.900529 0.701469i
\(701\) −19.0749 −0.720448 −0.360224 0.932866i \(-0.617300\pi\)
−0.360224 + 0.932866i \(0.617300\pi\)
\(702\) 3.67337 3.12040i 0.138642 0.117772i
\(703\) 10.5802 + 10.5802i 0.399040 + 0.399040i
\(704\) −30.3653 16.0908i −1.14444 0.606446i
\(705\) 19.7244 20.5050i 0.742863 0.772264i
\(706\) 26.5542 + 2.16134i 0.999382 + 0.0813432i
\(707\) −0.668396 + 0.668396i −0.0251376 + 0.0251376i
\(708\) 27.6856 19.8894i 1.04049 0.747488i
\(709\) 22.4323i 0.842465i 0.906953 + 0.421232i \(0.138402\pi\)
−0.906953 + 0.421232i \(0.861598\pi\)
\(710\) −2.27172 + 36.7054i −0.0852560 + 1.37753i
\(711\) 0.502606i 0.0188492i
\(712\) −19.0679 31.6839i −0.714601 1.18741i
\(713\) −11.0354 + 11.0354i −0.413281 + 0.413281i
\(714\) −1.50101 + 18.4414i −0.0561740 + 0.690153i
\(715\) 9.60356 0.186359i 0.359153 0.00696941i
\(716\) 2.80791 17.1347i 0.104937 0.640355i
\(717\) 8.03593 + 8.03593i 0.300107 + 0.300107i
\(718\) −8.15436 9.59940i −0.304318 0.358246i
\(719\) −1.41581 −0.0528007 −0.0264004 0.999651i \(-0.508404\pi\)
−0.0264004 + 0.999651i \(0.508404\pi\)
\(720\) 5.65622 + 10.8661i 0.210795 + 0.404955i
\(721\) 14.4780 0.539191
\(722\) −2.94228 3.46369i −0.109500 0.128905i
\(723\) 3.85754 + 3.85754i 0.143463 + 0.143463i
\(724\) 0.0307350 0.187554i 0.00114226 0.00697040i
\(725\) 24.4150 0.947912i 0.906752 0.0352046i
\(726\) 1.78731 21.9589i 0.0663335 0.814973i
\(727\) 5.27464 5.27464i 0.195626 0.195626i −0.602496 0.798122i \(-0.705827\pi\)
0.798122 + 0.602496i \(0.205827\pi\)
\(728\) 4.40469 + 7.31898i 0.163249 + 0.271259i
\(729\) 5.98783i 0.221772i
\(730\) −26.6594 + 23.5518i −0.986710 + 0.871693i
\(731\) 23.7601i 0.878799i
\(732\) 11.1550 8.01376i 0.412300 0.296197i
\(733\) 12.2849 12.2849i 0.453754 0.453754i −0.442845 0.896598i \(-0.646031\pi\)
0.896598 + 0.442845i \(0.146031\pi\)
\(734\) 20.6119 + 1.67768i 0.760801 + 0.0619242i
\(735\) 0.192353 + 9.91248i 0.00709506 + 0.365628i
\(736\) 13.3949 31.1532i 0.493743 1.14832i
\(737\) −24.7851 24.7851i −0.912969 0.912969i
\(738\) −12.9066 + 10.9637i −0.475099 + 0.403580i
\(739\) −24.6918 −0.908302 −0.454151 0.890925i \(-0.650057\pi\)
−0.454151 + 0.890925i \(0.650057\pi\)
\(740\) −2.40058 + 16.6696i −0.0882471 + 0.612787i
\(741\) −8.30544 −0.305108
\(742\) −17.2920 + 14.6889i −0.634808 + 0.539248i
\(743\) −20.2250 20.2250i −0.741982 0.741982i 0.230977 0.972959i \(-0.425808\pi\)
−0.972959 + 0.230977i \(0.925808\pi\)
\(744\) 3.71327 14.9378i 0.136135 0.547648i
\(745\) −28.3274 27.2489i −1.03783 0.998322i
\(746\) −25.3980 2.06723i −0.929887 0.0756868i
\(747\) 9.21715 9.21715i 0.337238 0.337238i
\(748\) 10.3880 + 14.4599i 0.379822 + 0.528705i
\(749\) 19.2394i 0.702992i
\(750\) −23.9024 + 22.8271i −0.872791 + 0.833528i
\(751\) 11.0376i 0.402768i −0.979512 0.201384i \(-0.935456\pi\)
0.979512 0.201384i \(-0.0645440\pi\)
\(752\) 21.8113 10.8211i 0.795376 0.394604i
\(753\) −28.0212 + 28.0212i −1.02115 + 1.02115i
\(754\) −0.560642 + 6.88804i −0.0204174 + 0.250848i
\(755\) −21.4980 20.6796i −0.782393 0.752606i
\(756\) 20.3148 + 3.32905i 0.738844 + 0.121076i
\(757\) 5.69958 + 5.69958i 0.207155 + 0.207155i 0.803057 0.595902i \(-0.203205\pi\)
−0.595902 + 0.803057i \(0.703205\pi\)
\(758\) −19.3764 22.8102i −0.703784 0.828502i
\(759\) 53.8286 1.95385
\(760\) −5.58779 + 24.4997i −0.202691 + 0.888696i
\(761\) 11.3969 0.413137 0.206569 0.978432i \(-0.433770\pi\)
0.206569 + 0.978432i \(0.433770\pi\)
\(762\) −39.6448 46.6702i −1.43618 1.69068i
\(763\) −12.1955 12.1955i −0.441506 0.441506i
\(764\) 11.7717 + 1.92907i 0.425887 + 0.0697912i
\(765\) −0.123136 6.34551i −0.00445198 0.229423i
\(766\) −0.580971 + 7.13780i −0.0209913 + 0.257899i
\(767\) −5.76570 + 5.76570i −0.208187 + 0.208187i
\(768\) 4.52409 + 33.1384i 0.163249 + 1.19578i
\(769\) 47.6525i 1.71839i 0.511646 + 0.859197i \(0.329036\pi\)
−0.511646 + 0.859197i \(0.670964\pi\)
\(770\) 27.1619 + 30.7459i 0.978848 + 1.10800i
\(771\) 18.0978i 0.651778i
\(772\) −5.34860 7.44515i −0.192500 0.267957i
\(773\) 14.0817 14.0817i 0.506483 0.506483i −0.406962 0.913445i \(-0.633412\pi\)
0.913445 + 0.406962i \(0.133412\pi\)
\(774\) 22.1337 + 1.80154i 0.795580 + 0.0647550i
\(775\) 13.0072 0.505004i 0.467233 0.0181403i