Properties

Label 260.2.o.a.183.29
Level $260$
Weight $2$
Character 260.183
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 183.29
Character \(\chi\) \(=\) 260.183
Dual form 260.2.o.a.27.29

$q$-expansion

\(f(q)\) \(=\) \(q+(1.07783 - 0.915579i) q^{2} +(-1.47811 + 1.47811i) q^{3} +(0.323431 - 1.97367i) q^{4} +(-1.55016 - 1.61152i) q^{5} +(-0.239824 + 2.94647i) q^{6} +(-2.13554 - 2.13554i) q^{7} +(-1.45845 - 2.42341i) q^{8} -1.36960i q^{9} +O(q^{10})\) \(q+(1.07783 - 0.915579i) 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} +(-1.45845 - 2.42341i) q^{8} -1.36960i q^{9} +(-3.14628 - 0.317643i) q^{10} -4.29565i q^{11} +(2.43924 + 3.39537i) 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} +(-1.25398 - 1.47620i) q^{18} +3.97321 q^{19} +(-3.68198 + 2.53831i) q^{20} +6.31312 q^{21} +(-3.93301 - 4.62998i) 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} +(-4.90557 + 3.52417i) q^{28} -4.88669i q^{29} +(5.12006 - 4.18104i) q^{30} +2.60341i q^{31} +(-5.25473 + 2.09470i) 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} +(4.28245 - 3.63779i) q^{38} -2.09036 q^{39} +(-1.64453 + 6.10701i) q^{40} +8.74316 q^{41} +(6.80447 - 5.78016i) 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} +(7.49028 - 3.71609i) q^{48} +2.12109i q^{49} +(4.36537 + 5.56269i) q^{50} +4.33202i q^{51} +(1.62430 - 1.16690i) 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} +(-4.47415 - 5.26701i) q^{58} +8.15393 q^{59} +(1.69048 - 9.19426i) q^{60} -3.28535 q^{61} +(2.38362 + 2.80603i) 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} +(-2.41826 - 3.36616i) q^{68} -12.5309i q^{69} +(6.04068 + 7.39736i) q^{70} -11.6295i q^{71} +(-3.31911 + 1.99750i) 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} +(-2.25305 + 1.91389i) q^{78} -0.366972 q^{79} +(3.81892 + 8.08801i) q^{80} +11.2330 q^{81} +(9.42363 - 8.00505i) 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} +(-10.4101 + 6.26500i) q^{88} -13.0741i q^{89} +(-0.435044 + 4.30916i) q^{90} -3.02011i q^{91} +(6.99513 + 9.73709i) 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} +(1.94202 + 2.28617i) 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 \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).

\(n\) \(41\) \(131\) \(157\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.07783 0.915579i 0.762140 0.647412i
\(3\) −1.47811 + 1.47811i −0.853386 + 0.853386i −0.990549 0.137163i \(-0.956202\pi\)
0.137163 + 0.990549i \(0.456202\pi\)
\(4\) 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 \(-0.443347\pi\)
−0.984203 + 0.177044i \(0.943347\pi\)
\(8\) −1.45845 2.42341i −0.515640 0.856805i
\(9\) 1.36960i 0.456534i
\(10\) −3.14628 0.317643i −0.994942 0.100447i
\(11\) 4.29565i 1.29519i −0.761986 0.647594i \(-0.775775\pi\)
0.761986 0.647594i \(-0.224225\pi\)
\(12\) 2.43924 + 3.39537i 0.704147 + 0.980159i
\(13\) 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 −0.506708 0.862118i \(-0.669138\pi\)
0.862118 + 0.506708i \(0.169138\pi\)
\(18\) −1.25398 1.47620i −0.295566 0.347943i
\(19\) 3.97321 0.911518 0.455759 0.890103i \(-0.349368\pi\)
0.455759 + 0.890103i \(0.349368\pi\)
\(20\) −3.68198 + 2.53831i −0.823317 + 0.567582i
\(21\) 6.31312 1.37764
\(22\) −3.93301 4.62998i −0.838520 0.987115i
\(23\) −4.23885 + 4.23885i −0.883861 + 0.883861i −0.993925 0.110063i \(-0.964895\pi\)
0.110063 + 0.993925i \(0.464895\pi\)
\(24\) 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
\(28\) −4.90557 + 3.52417i −0.927065 + 0.666005i
\(29\) 4.88669i 0.907435i −0.891146 0.453718i \(-0.850097\pi\)
0.891146 0.453718i \(-0.149903\pi\)
\(30\) 5.12006 4.18104i 0.934790 0.763349i
\(31\) 2.60341i 0.467585i 0.972286 + 0.233793i \(0.0751137\pi\)
−0.972286 + 0.233793i \(0.924886\pi\)
\(32\) −5.25473 + 2.09470i −0.928914 + 0.370294i
\(33\) 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 −0.891263 0.453487i \(-0.850180\pi\)
0.453487 + 0.891263i \(0.350180\pi\)
\(38\) 4.28245 3.63779i 0.694704 0.590127i
\(39\) −2.09036 −0.334725
\(40\) −1.64453 + 6.10701i −0.260023 + 0.965602i
\(41\) 8.74316 1.36545 0.682726 0.730675i \(-0.260794\pi\)
0.682726 + 0.730675i \(0.260794\pi\)
\(42\) 6.80447 5.78016i 1.04995 0.891898i
\(43\) 8.10707 8.10707i 1.23632 1.23632i 0.274821 0.961495i \(-0.411381\pi\)
0.961495 0.274821i \(-0.0886186\pi\)
\(44\) −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 \(-0.103580\pi\)
−0.319693 + 0.947521i \(0.603580\pi\)
\(48\) 7.49028 3.71609i 1.08113 0.536372i
\(49\) 2.12109i 0.303012i
\(50\) 4.36537 + 5.56269i 0.617357 + 0.786683i
\(51\) 4.33202i 0.606604i
\(52\) 1.62430 1.16690i 0.225250 0.161820i
\(53\) −3.75627 3.75627i −0.515963 0.515963i 0.400384 0.916347i \(-0.368877\pi\)
−0.916347 + 0.400384i \(0.868877\pi\)
\(54\) −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
\(58\) −4.47415 5.26701i −0.587484 0.691593i
\(59\) 8.15393 1.06155 0.530775 0.847512i \(-0.321901\pi\)
0.530775 + 0.847512i \(0.321901\pi\)
\(60\) 1.69048 9.19426i 0.218240 1.18697i
\(61\) −3.28535 −0.420646 −0.210323 0.977632i \(-0.567452\pi\)
−0.210323 + 0.977632i \(0.567452\pi\)
\(62\) 2.38362 + 2.80603i 0.302720 + 0.356366i
\(63\) −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 \(-0.416092\pi\)
−0.965457 + 0.260563i \(0.916092\pi\)
\(68\) −2.41826 3.36616i −0.293257 0.408207i
\(69\) 12.5309i 1.50855i
\(70\) 6.04068 + 7.39736i 0.722000 + 0.884154i
\(71\) 11.6295i 1.38016i −0.723731 0.690082i \(-0.757574\pi\)
0.723731 0.690082i \(-0.242426\pi\)
\(72\) −3.31911 + 1.99750i −0.391161 + 0.235407i
\(73\) 7.95429 + 7.95429i 0.930979 + 0.930979i 0.997767 0.0667878i \(-0.0212751\pi\)
−0.0667878 + 0.997767i \(0.521275\pi\)
\(74\) −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
\(78\) −2.25305 + 1.91389i −0.255108 + 0.216705i
\(79\) −0.366972 −0.0412876 −0.0206438 0.999787i \(-0.506572\pi\)
−0.0206438 + 0.999787i \(0.506572\pi\)
\(80\) 3.81892 + 8.08801i 0.426968 + 0.904267i
\(81\) 11.2330 1.24811
\(82\) 9.42363 8.00505i 1.04067 0.884010i
\(83\) 6.72980 6.72980i 0.738692 0.738692i −0.233633 0.972325i \(-0.575061\pi\)
0.972325 + 0.233633i \(0.0750614\pi\)
\(84\) 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
\(88\) −10.4101 + 6.26500i −1.10972 + 0.667851i
\(89\) 13.0741i 1.38585i −0.721009 0.692926i \(-0.756321\pi\)
0.721009 0.692926i \(-0.243679\pi\)
\(90\) −0.435044 + 4.30916i −0.0458577 + 0.454225i
\(91\) 3.02011i 0.316594i
\(92\) 6.99513 + 9.73709i 0.729293 + 1.01516i
\(93\) −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 −0.891418 0.453183i \(-0.850288\pi\)
0.453183 + 0.891418i \(0.350288\pi\)
\(98\) 1.94202 + 2.28617i 0.196174 + 0.230938i
\(99\) −5.88333 −0.591297
\(100\) 9.79821 + 1.99879i 0.979821 + 0.199879i
\(101\) −0.312987 −0.0311433 −0.0155717 0.999879i \(-0.504957\pi\)
−0.0155717 + 0.999879i \(0.504957\pi\)
\(102\) 3.96630 + 4.66917i 0.392722 + 0.462317i
\(103\) −3.38978 + 3.38978i −0.334005 + 0.334005i −0.854105 0.520100i \(-0.825895\pi\)
0.520100 + 0.854105i \(0.325895\pi\)
\(104\) 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 \(-0.349635\pi\)
−0.890485 + 0.455012i \(0.849635\pi\)
\(108\) −5.53580 + 3.97693i −0.532683 + 0.382680i
\(109\) 5.71071i 0.546987i 0.961874 + 0.273493i \(0.0881792\pi\)
−0.961874 + 0.273493i \(0.911821\pi\)
\(110\) −1.36448 + 13.5153i −0.130098 + 1.28864i
\(111\) 7.87206i 0.747183i
\(112\) 5.36894 + 10.8218i 0.507317 + 1.02257i
\(113\) −11.7335 11.7335i −1.10380 1.10380i −0.993949 0.109847i \(-0.964964\pi\)
−0.109847 0.993949i \(-0.535036\pi\)
\(114\) −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
\(118\) 8.78854 7.46556i 0.809051 0.687261i
\(119\) −6.25882 −0.573745
\(120\) −6.59602 11.4576i −0.602131 1.04593i
\(121\) −7.45262 −0.677511
\(122\) −3.54105 + 3.00800i −0.320592 + 0.272331i
\(123\) −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 0.928570 + 0.371158i \(0.121039\pi\)
0.371158 + 0.928570i \(0.378961\pi\)
\(128\) 2.43471 + 11.0486i 0.215200 + 0.976570i
\(129\) 23.9662i 2.11011i
\(130\) −2.00015 2.44937i −0.175425 0.214824i
\(131\) 17.6084i 1.53845i 0.638976 + 0.769227i \(0.279358\pi\)
−0.638976 + 0.769227i \(0.720642\pi\)
\(132\) 14.5853 10.4781i 1.26949 0.912003i
\(133\) −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 −0.973213 0.229906i \(-0.926158\pi\)
0.229906 + 0.973213i \(0.426158\pi\)
\(138\) −11.4731 13.5062i −0.976653 1.14973i
\(139\) −14.5944 −1.23788 −0.618939 0.785439i \(-0.712437\pi\)
−0.618939 + 0.785439i \(0.712437\pi\)
\(140\) 13.2837 + 2.44237i 1.12268 + 0.206418i
\(141\) −12.7240 −1.07156
\(142\) −10.6477 12.5346i −0.893535 1.05188i
\(143\) 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
\(148\) 4.39441 + 6.11693i 0.361218 + 0.502809i
\(149\) 17.5781i 1.44005i −0.693948 0.720025i \(-0.744130\pi\)
0.693948 0.720025i \(-0.255870\pi\)
\(150\) −14.6747 1.76977i −1.19819 0.144501i
\(151\) 13.3402i 1.08561i 0.839858 + 0.542806i \(0.182638\pi\)
−0.839858 + 0.542806i \(0.817362\pi\)
\(152\) −5.79474 9.62873i −0.470015 0.780993i
\(153\) −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 −0.840366 0.542019i \(-0.817660\pi\)
0.542019 + 0.840366i \(0.317660\pi\)
\(158\) −0.395533 + 0.335992i −0.0314669 + 0.0267301i
\(159\) 11.1043 0.880631
\(160\) 11.5214 + 5.22096i 0.910843 + 0.412753i
\(161\) 18.1045 1.42683
\(162\) 12.1073 10.2847i 0.951235 0.808042i
\(163\) 12.2870 12.2870i 0.962394 0.962394i −0.0369238 0.999318i \(-0.511756\pi\)
0.999318 + 0.0369238i \(0.0117559\pi\)
\(164\) 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 \(-0.225080\pi\)
−0.649638 + 0.760243i \(0.725080\pi\)
\(168\) −9.20738 15.2993i −0.710365 1.18037i
\(169\) 1.00000i 0.0769231i
\(170\) −5.07601 + 4.14507i −0.389313 + 0.317912i
\(171\) 5.44172i 0.416139i
\(172\) −13.3786 18.6228i −1.02011 1.41998i
\(173\) 2.79978 + 2.79978i 0.212863 + 0.212863i 0.805483 0.592620i \(-0.201906\pi\)
−0.592620 + 0.805483i \(0.701906\pi\)
\(174\) 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
\(178\) −11.9704 14.0917i −0.897217 1.05621i
\(179\) 8.68164 0.648896 0.324448 0.945904i \(-0.394821\pi\)
0.324448 + 0.945904i \(0.394821\pi\)
\(180\) 3.47647 + 5.04285i 0.259121 + 0.375872i
\(181\) −0.0950279 −0.00706337 −0.00353168 0.999994i \(-0.501124\pi\)
−0.00353168 + 0.999994i \(0.501124\pi\)
\(182\) −2.76515 3.25517i −0.204967 0.241289i
\(183\) 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
\(188\) 9.88714 7.10293i 0.721093 0.518034i
\(189\) 10.2929i 0.748698i
\(190\) −12.5009 1.26206i −0.906908 0.0915597i
\(191\) 5.96438i 0.431567i −0.976441 0.215784i \(-0.930769\pi\)
0.976441 0.215784i \(-0.0692306\pi\)
\(192\) −4.91177 15.9853i −0.354476 1.15364i
\(193\) −3.24110 3.24110i −0.233299 0.233299i 0.580769 0.814068i \(-0.302752\pi\)
−0.814068 + 0.580769i \(0.802752\pi\)
\(194\) −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 0.134952 0.990852i \(-0.456912\pi\)
0.990852 0.134952i \(-0.0430879\pi\)
\(198\) −6.34123 + 5.38666i −0.450651 + 0.382813i
\(199\) −3.64228 −0.258195 −0.129097 0.991632i \(-0.541208\pi\)
−0.129097 + 0.991632i \(0.541208\pi\)
\(200\) 12.3908 6.81668i 0.876165 0.482012i
\(201\) 17.0568 1.20309
\(202\) −0.337346 + 0.286564i −0.0237356 + 0.0201626i
\(203\) −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
\(208\) −1.77773 3.58325i −0.123263 0.248454i
\(209\) 17.0675i 1.18059i
\(210\) −19.8629 2.00532i −1.37067 0.138380i
\(211\) 19.8397i 1.36582i 0.730502 + 0.682910i \(0.239286\pi\)
−0.730502 + 0.682910i \(0.760714\pi\)
\(212\) −8.62854 + 6.19875i −0.592611 + 0.425732i
\(213\) 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
\(218\) 5.22861 + 6.15517i 0.354126 + 0.416881i
\(219\) −23.5146 −1.58897
\(220\) 10.9037 + 15.8165i 0.735126 + 1.06635i
\(221\) 2.07238 0.139403
\(222\) −7.20749 8.48474i −0.483735 0.569458i
\(223\) 0.645607 0.645607i 0.0432330 0.0432330i −0.685160 0.728393i \(-0.740268\pi\)
0.728393 + 0.685160i \(0.240268\pi\)
\(224\) 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 \(-0.302967\pi\)
−0.814461 + 0.580218i \(0.802967\pi\)
\(228\) 9.69161 + 13.4905i 0.641842 + 0.893432i
\(229\) 16.3084i 1.07769i 0.842406 + 0.538843i \(0.181138\pi\)
−0.842406 + 0.538843i \(0.818862\pi\)
\(230\) 14.6831 11.9902i 0.968173 0.790609i
\(231\) 27.1190i 1.78430i
\(232\) −11.8425 + 7.12699i −0.777495 + 0.467910i
\(233\) 20.1489 + 20.1489i 1.32000 + 1.32000i 0.913770 + 0.406231i \(0.133157\pi\)
0.406231 + 0.913770i \(0.366843\pi\)
\(234\) 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
\(238\) −6.74594 + 5.73044i −0.437274 + 0.371449i
\(239\) −5.43664 −0.351667 −0.175833 0.984420i \(-0.556262\pi\)
−0.175833 + 0.984420i \(0.556262\pi\)
\(240\) −17.5997 6.31016i −1.13606 0.407319i
\(241\) 2.60978 0.168111 0.0840554 0.996461i \(-0.473213\pi\)
0.0840554 + 0.996461i \(0.473213\pi\)
\(242\) −8.03266 + 6.82346i −0.516359 + 0.438629i
\(243\) −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
\(248\) 6.30912 3.79694i 0.400630 0.241106i
\(249\) 19.8947i 1.26078i
\(250\) 2.19733 15.6580i 0.138971 0.990296i
\(251\) 18.9575i 1.19659i 0.801277 + 0.598293i \(0.204154\pi\)
−0.801277 + 0.598293i \(0.795846\pi\)
\(252\) 4.82670 + 6.71868i 0.304054 + 0.423237i
\(253\) 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 −0.489901 0.871778i \(-0.662967\pi\)
0.871778 + 0.489901i \(0.162967\pi\)
\(258\) 21.9430 + 25.8315i 1.36611 + 1.60820i
\(259\) 11.3734 0.706709
\(260\) −4.39841 0.808702i −0.272778 0.0501536i
\(261\) −6.69282 −0.414275
\(262\) 16.1219 + 18.9788i 0.996013 + 1.17252i
\(263\) 20.6073 20.6073i 1.27070 1.27070i 0.324979 0.945721i \(-0.394643\pi\)
0.945721 0.324979i \(-0.105357\pi\)
\(264\) 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
\(268\) −13.2538 + 9.52158i −0.809607 + 0.581623i
\(269\) 3.60317i 0.219689i 0.993949 + 0.109845i \(0.0350354\pi\)
−0.993949 + 0.109845i \(0.964965\pi\)
\(270\) 6.81675 + 8.34773i 0.414854 + 0.508027i
\(271\) 0.457132i 0.0277688i 0.999904 + 0.0138844i \(0.00441968\pi\)
−0.999904 + 0.0138844i \(0.995580\pi\)
\(272\) −7.42585 + 3.68413i −0.450258 + 0.223383i
\(273\) 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 −0.247101 0.968990i \(-0.579478\pi\)
0.968990 + 0.247101i \(0.0794781\pi\)
\(278\) −15.7302 + 13.3623i −0.943436 + 0.801417i
\(279\) 3.56563 0.213469
\(280\) 16.5537 9.52981i 0.989275 0.569515i
\(281\) −10.5016 −0.626473 −0.313236 0.949675i \(-0.601413\pi\)
−0.313236 + 0.949675i \(0.601413\pi\)
\(282\) −13.7144 + 11.6499i −0.816678 + 0.693740i
\(283\) −5.62753 + 5.62753i −0.334522 + 0.334522i −0.854301 0.519779i \(-0.826014\pi\)
0.519779 + 0.854301i \(0.326014\pi\)
\(284\) −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
\(288\) 2.86891 + 7.19689i 0.169052 + 0.424081i
\(289\) 12.7052i 0.747367i
\(290\) −1.55222 + 15.3749i −0.0911496 + 0.902846i
\(291\) 12.7593i 0.747966i
\(292\) 18.2719 13.1265i 1.06928 0.768171i
\(293\) 6.46294 + 6.46294i 0.377569 + 0.377569i 0.870224 0.492655i \(-0.163974\pi\)
−0.492655 + 0.870224i \(0.663974\pi\)
\(294\) −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
\(298\) −16.0941 18.9461i −0.932306 1.09752i
\(299\) −5.99464 −0.346679
\(300\) −17.4372 + 11.5284i −1.00674 + 0.665591i
\(301\) −34.6260 −1.99581
\(302\) 12.2140 + 14.3785i 0.702839 + 0.827389i
\(303\) 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 \(-0.360366\pi\)
−0.905316 + 0.424739i \(0.860366\pi\)
\(308\) 15.1386 + 21.0726i 0.862601 + 1.20072i
\(309\) 10.0209i 0.570070i
\(310\) 0.826953 8.19105i 0.0469678 0.465220i
\(311\) 6.97059i 0.395266i −0.980276 0.197633i \(-0.936675\pi\)
0.980276 0.197633i \(-0.0633254\pi\)
\(312\) 3.04869 + 5.06580i 0.172598 + 0.286794i
\(313\) −4.53807 4.53807i −0.256507 0.256507i 0.567125 0.823632i \(-0.308056\pi\)
−0.823632 + 0.567125i \(0.808056\pi\)
\(314\) −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 −0.919902 0.392147i \(-0.871732\pi\)
0.392147 + 0.919902i \(0.371732\pi\)
\(318\) 11.9686 10.1669i 0.671164 0.570131i
\(319\) −20.9915 −1.17530
\(320\) 17.1983 4.92140i 0.961411 0.275114i
\(321\) 13.3165 0.743252
\(322\) 19.5135 16.5761i 1.08745 0.923749i
\(323\) 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
\(328\) −12.7515 21.1883i −0.704082 1.16993i
\(329\) 18.3835i 1.01351i
\(330\) −17.9603 21.9940i −0.988680 1.21073i
\(331\) 23.5550i 1.29470i 0.762193 + 0.647350i \(0.224123\pi\)
−0.762193 + 0.647350i \(0.775877\pi\)
\(332\) −11.1058 15.4591i −0.609511 0.848427i
\(333\) 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 0.000402010 1.00000i \(-0.499872\pi\)
1.00000 0.000402010i \(-0.000127964\pi\)
\(338\) 0.915579 + 1.07783i 0.0498009 + 0.0586262i
\(339\) 34.6868 1.88393
\(340\) −1.67594 + 9.11517i −0.0908905 + 0.494339i
\(341\) 11.1833 0.605611
\(342\) −4.98232 5.86525i −0.269413 0.317156i
\(343\) −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 \(-0.190182\pi\)
−0.562557 + 0.826758i \(0.690182\pi\)
\(348\) 16.5921 11.9198i 0.889430 0.638968i
\(349\) 27.7646i 1.48620i −0.669178 0.743102i \(-0.733354\pi\)
0.669178 0.743102i \(-0.266646\pi\)
\(350\) 2.55693 21.2018i 0.136673 1.13328i
\(351\) 3.40812i 0.181912i
\(352\) 8.99811 + 22.5725i 0.479601 + 1.20312i
\(353\) 13.3210 + 13.3210i 0.709006 + 0.709006i 0.966326 0.257320i \(-0.0828394\pi\)
−0.257320 + 0.966326i \(0.582839\pi\)
\(354\) −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
\(358\) 9.35732 7.94872i 0.494550 0.420103i
\(359\) 8.90624 0.470053 0.235027 0.971989i \(-0.424482\pi\)
0.235027 + 0.971989i \(0.424482\pi\)
\(360\) 8.36417 + 2.25235i 0.440830 + 0.118709i
\(361\) −3.21358 −0.169136
\(362\) −0.102424 + 0.0870055i −0.00538328 + 0.00457291i
\(363\) 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 \(-0.374647\pi\)
−0.923455 + 0.383708i \(0.874647\pi\)
\(368\) 21.4803 10.6568i 1.11974 0.555526i
\(369\) 11.9746i 0.623375i
\(370\) 9.22404 7.53235i 0.479535 0.391588i
\(371\) 16.0433i 0.832928i
\(372\) −8.83952 + 6.35032i −0.458308 + 0.329249i
\(373\) −12.7410 12.7410i −0.659704 0.659704i 0.295606 0.955310i \(-0.404478\pi\)
−0.955310 + 0.295606i \(0.904478\pi\)
\(374\) −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
\(378\) 9.42396 + 11.0940i 0.484716 + 0.570613i
\(379\) 21.1631 1.08707 0.543536 0.839386i \(-0.317085\pi\)
0.543536 + 0.839386i \(0.317085\pi\)
\(380\) −14.6293 + 10.0852i −0.750468 + 0.517361i
\(381\) −43.3002 −2.21834
\(382\) −5.46086 6.42858i −0.279402 0.328915i
\(383\) −3.58070 + 3.58070i −0.182965 + 0.182965i −0.792647 0.609681i \(-0.791297\pi\)
0.609681 + 0.792647i \(0.291297\pi\)
\(384\) −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
\(388\) 7.12263 + 9.91456i 0.361597 + 0.503336i
\(389\) 28.5321i 1.44664i 0.690515 + 0.723318i \(0.257384\pi\)
−0.690515 + 0.723318i \(0.742616\pi\)
\(390\) 6.57686 + 0.663988i 0.333032 + 0.0336223i
\(391\) 12.4232i 0.628266i
\(392\) 5.14026 3.09350i 0.259623 0.156245i
\(393\) −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 −0.0814058 0.996681i \(-0.525941\pi\)
0.996681 + 0.0814058i \(0.0259410\pi\)
\(398\) −3.92576 + 3.33480i −0.196780 + 0.167158i
\(399\) 25.0834 1.25574
\(400\) 7.11401 18.6920i 0.355700 0.934600i
\(401\) −25.8190 −1.28934 −0.644669 0.764462i \(-0.723005\pi\)
−0.644669 + 0.764462i \(0.723005\pi\)
\(402\) 18.3843 15.6168i 0.916925 0.778896i
\(403\) −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
\(408\) 10.4983 6.31803i 0.519741 0.312789i
\(409\) 7.10884i 0.351510i 0.984434 + 0.175755i \(0.0562366\pi\)
−0.984434 + 0.175755i \(0.943763\pi\)
\(410\) −27.5085 2.77720i −1.35855 0.137156i
\(411\) 25.7196i 1.26865i
\(412\) 5.59397 + 7.78669i 0.275595 + 0.383623i
\(413\) −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
\(418\) −15.6267 18.3959i −0.764326 0.899773i
\(419\) −28.0231 −1.36902 −0.684508 0.729005i \(-0.739983\pi\)
−0.684508 + 0.729005i \(0.739983\pi\)
\(420\) −23.2448 + 16.0246i −1.13423 + 0.781922i
\(421\) 13.5079 0.658333 0.329167 0.944272i \(-0.393232\pi\)
0.329167 + 0.944272i \(0.393232\pi\)
\(422\) 18.1648 + 21.3838i 0.884249 + 1.04095i
\(423\) 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
\(428\) −10.3475 + 7.43363i −0.500163 + 0.359318i
\(429\) 8.97946i 0.433532i
\(430\) −28.0823 + 22.9320i −1.35425 + 1.10588i
\(431\) 29.9171i 1.44106i 0.693425 + 0.720529i \(0.256101\pi\)
−0.693425 + 0.720529i \(0.743899\pi\)
\(432\) 6.05871 + 12.2121i 0.291500 + 0.587557i
\(433\) 26.5560 + 26.5560i 1.27620 + 1.27620i 0.942778 + 0.333422i \(0.108203\pi\)
0.333422 + 0.942778i \(0.391797\pi\)
\(434\) 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
\(438\) −25.3447 + 21.5295i −1.21102 + 1.02872i
\(439\) −7.05856 −0.336886 −0.168443 0.985711i \(-0.553874\pi\)
−0.168443 + 0.985711i \(0.553874\pi\)
\(440\) 26.2336 + 7.06433i 1.25064 + 0.336779i
\(441\) 2.90504 0.138335
\(442\) 2.23367 1.89743i 0.106245 0.0902514i
\(443\) −23.3647 + 23.3647i −1.11009 + 1.11009i −0.116951 + 0.993138i \(0.537312\pi\)
−0.993138 + 0.116951i \(0.962688\pi\)
\(444\) −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
\(448\) 23.0952 7.09643i 1.09115 0.335275i
\(449\) 35.3071i 1.66625i −0.553087 0.833123i \(-0.686550\pi\)
0.553087 0.833123i \(-0.313450\pi\)
\(450\) 7.61867 5.97882i 0.359148 0.281844i
\(451\) 37.5576i 1.76852i
\(452\) −26.9531 + 19.3631i −1.26777 + 0.910766i
\(453\) −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 −0.681878 0.731466i \(-0.738836\pi\)
0.731466 + 0.681878i \(0.238836\pi\)
\(458\) 14.9316 + 17.5776i 0.697707 + 0.821348i
\(459\) −7.06291 −0.329668
\(460\) 4.84788 26.3669i 0.226033 1.22936i
\(461\) −8.62625 −0.401764 −0.200882 0.979615i \(-0.564381\pi\)
−0.200882 + 0.979615i \(0.564381\pi\)
\(462\) −24.8296 29.2296i −1.15518 1.35989i
\(463\) 26.6830 26.6830i 1.24006 1.24006i 0.280090 0.959974i \(-0.409636\pi\)
0.959974 0.280090i \(-0.0903644\pi\)
\(464\) −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 \(-0.333599\pi\)
−0.866442 + 0.499278i \(0.833599\pi\)
\(468\) −1.59819 2.22464i −0.0738762 0.102834i
\(469\) 24.6433i 1.13792i
\(470\) −12.1750 14.9093i −0.561589 0.687716i
\(471\) 11.0512i 0.509211i
\(472\) −11.8921 19.7603i −0.547378 0.909542i
\(473\) −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
\(478\) −5.85977 + 4.97767i −0.268019 + 0.227673i
\(479\) 4.69895 0.214701 0.107350 0.994221i \(-0.465763\pi\)
0.107350 + 0.994221i \(0.465763\pi\)
\(480\) −24.7469 + 9.31265i −1.12954 + 0.425062i
\(481\) −3.76589 −0.171710
\(482\) 2.81290 2.38946i 0.128124 0.108837i
\(483\) −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 \(-0.404853\pi\)
−0.955657 + 0.294483i \(0.904853\pi\)
\(488\) 4.79153 + 7.96176i 0.216902 + 0.360412i
\(489\) 36.3231i 1.64259i
\(490\) 0.673748 6.67354i 0.0304368 0.301480i
\(491\) 5.90527i 0.266501i −0.991082 0.133251i \(-0.957458\pi\)
0.991082 0.133251i \(-0.0425415\pi\)
\(492\) 21.3266 + 29.6862i 0.961479 + 1.33836i
\(493\) −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
\(498\) 18.2152 + 21.4431i 0.816243 + 0.960890i
\(499\) 11.0646 0.495318 0.247659 0.968847i \(-0.420339\pi\)
0.247659 + 0.968847i \(0.420339\pi\)
\(500\) −11.9677 18.8884i −0.535214 0.844716i
\(501\) −4.22541 −0.188777
\(502\) 17.3571 + 20.4329i 0.774684 + 0.911967i
\(503\) 25.8572 25.8572i 1.15292 1.15292i 0.166950 0.985965i \(-0.446608\pi\)
0.985965 0.166950i \(-0.0533920\pi\)
\(504\) 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
\(508\) 33.6461 24.1714i 1.49281 1.07243i
\(509\) 5.44003i 0.241125i 0.992706 + 0.120562i \(0.0384698\pi\)
−0.992706 + 0.120562i \(0.961530\pi\)
\(510\) 1.37603 13.6298i 0.0609318 0.603536i
\(511\) 33.9735i 1.50290i
\(512\) 22.5939 1.23186i 0.998517 0.0544411i
\(513\) −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
\(518\) 12.2586 10.4133i 0.538612 0.457532i
\(519\) −8.27674 −0.363308
\(520\) −5.48116 + 3.15545i −0.240365 + 0.138375i
\(521\) −23.4237 −1.02621 −0.513104 0.858326i \(-0.671505\pi\)
−0.513104 + 0.858326i \(0.671505\pi\)
\(522\) −7.21371 + 6.12780i −0.315736 + 0.268207i
\(523\) −5.53017 + 5.53017i −0.241818 + 0.241818i −0.817602 0.575784i \(-0.804697\pi\)
0.575784 + 0.817602i \(0.304697\pi\)
\(524\) 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
\(528\) −15.9630 32.1756i −0.694702 1.40026i
\(529\) 12.9357i 0.562422i
\(530\) 10.6251 + 13.0114i 0.461526 + 0.565180i
\(531\) 11.1676i 0.484634i
\(532\) −19.4909 + 14.0023i −0.845036 + 0.607075i
\(533\) 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
\(538\) 3.29899 + 3.88361i 0.142230 + 0.167434i
\(539\) 9.11145 0.392458
\(540\) 14.9903 + 2.75615i 0.645080 + 0.118606i
\(541\) 0.785688 0.0337794 0.0168897 0.999857i \(-0.494624\pi\)
0.0168897 + 0.999857i \(0.494624\pi\)
\(542\) 0.418540 + 0.492710i 0.0179778 + 0.0211637i
\(543\) 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 \(-0.419753\pi\)
−0.968390 + 0.249442i \(0.919753\pi\)
\(548\) 14.3574 + 19.9852i 0.613318 + 0.853727i
\(549\) 4.49963i 0.192039i
\(550\) 23.8954 18.7521i 1.01890 0.799593i
\(551\) 19.4159i 0.827143i
\(552\) −30.3676 + 18.2758i −1.29253 + 0.777869i
\(553\) 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 −0.650553 0.759461i \(-0.725463\pi\)
0.759461 + 0.650553i \(0.225463\pi\)
\(558\) 3.84314 3.26461i 0.162693 0.138202i
\(559\) 11.4651 0.484923
\(560\) 9.11681 25.4278i 0.385256 1.07452i
\(561\) 18.6088 0.785666
\(562\) −11.3189 + 9.61504i −0.477460 + 0.405586i
\(563\) −2.93473 + 2.93473i −0.123684 + 0.123684i −0.766239 0.642555i \(-0.777874\pi\)
0.642555 + 0.766239i \(0.277874\pi\)
\(564\) −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
\(568\) −28.1830 + 16.9610i −1.18253 + 0.711668i
\(569\) 36.2332i 1.51898i 0.650522 + 0.759488i \(0.274550\pi\)
−0.650522 + 0.759488i \(0.725450\pi\)
\(570\) 20.3431 16.6121i 0.852078 0.695806i
\(571\) 24.0261i 1.00546i −0.864443 0.502731i \(-0.832329\pi\)
0.864443 0.502731i \(-0.167671\pi\)
\(572\) −5.01259 6.97742i −0.209587 0.291741i
\(573\) 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 −0.479552 0.877514i \(-0.659201\pi\)
0.877514 + 0.479552i \(0.159201\pi\)
\(578\) 11.6327 + 13.6941i 0.483855 + 0.569599i
\(579\) 9.58138 0.398189
\(580\) 12.4039 + 17.9927i 0.515044 + 0.747106i
\(581\) −28.7436 −1.19248
\(582\) −11.6822 13.7524i −0.484242 0.570055i
\(583\) −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 \(-0.423849\pi\)
−0.971520 + 0.236959i \(0.923849\pi\)
\(588\) −7.20187 + 5.17383i −0.297000 + 0.213365i
\(589\) 10.3439i 0.426212i
\(590\) −25.6546 2.59004i −1.05618 0.106630i
\(591\) 46.7124i 1.92149i
\(592\) 13.4941 6.69473i 0.554605 0.275152i
\(593\) −16.8802 16.8802i −0.693186 0.693186i 0.269745 0.962932i \(-0.413060\pi\)
−0.962932 + 0.269745i \(0.913060\pi\)
\(594\) −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
\(598\) −6.46120 + 5.48856i −0.264218 + 0.224444i
\(599\) −12.1814 −0.497720 −0.248860 0.968540i \(-0.580056\pi\)
−0.248860 + 0.968540i \(0.580056\pi\)
\(600\) −8.23921 + 28.3908i −0.336364 + 1.15905i
\(601\) 37.1958 1.51725 0.758625 0.651528i \(-0.225872\pi\)
0.758625 + 0.651528i \(0.225872\pi\)
\(602\) −37.3209 + 31.7028i −1.52109 + 1.29211i
\(603\) −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 0.998936 + 0.0461224i \(0.0146864\pi\)
0.0461224 + 0.998936i \(0.485314\pi\)
\(608\) −20.8782 + 8.32269i −0.846722 + 0.337530i
\(609\) 30.8503i 1.25012i
\(610\) 10.3367 + 1.04357i 0.418519 + 0.0422529i
\(611\) 6.08702i 0.246254i
\(612\) −4.61030 + 3.31205i −0.186361 + 0.133882i
\(613\) 4.19878 + 4.19878i 0.169587 + 0.169587i 0.786798 0.617211i \(-0.211737\pi\)
−0.617211 + 0.786798i \(0.711737\pi\)
\(614\) −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 −0.780560 0.625081i \(-0.785066\pi\)
0.625081 + 0.780560i \(0.285066\pi\)
\(618\) −9.17494 10.8008i −0.369070 0.434474i
\(619\) 23.5422 0.946242 0.473121 0.880997i \(-0.343127\pi\)
0.473121 + 0.880997i \(0.343127\pi\)
\(620\) −6.60824 9.58569i −0.265393 0.384971i
\(621\) 20.4304 0.819845
\(622\) −6.38212 7.51310i −0.255900 0.301248i
\(623\) −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
\(628\) 6.16907 + 8.58723i 0.246173 + 0.342668i
\(629\) 7.80435i 0.311180i
\(630\) 10.1314 8.27333i 0.403646 0.329618i
\(631\) 19.7621i 0.786715i 0.919386 + 0.393357i \(0.128686\pi\)
−0.919386 + 0.393357i \(0.871314\pi\)
\(632\) 0.535211 + 0.889325i 0.0212896 + 0.0353754i
\(633\) −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
\(638\) −22.6253 + 19.2194i −0.895743 + 0.760902i
\(639\) −15.9277 −0.630092
\(640\) 14.0309 21.0508i 0.554618 0.832105i
\(641\) −1.45519 −0.0574767 −0.0287384 0.999587i \(-0.509149\pi\)
−0.0287384 + 0.999587i \(0.509149\pi\)
\(642\) 14.3529 12.1923i 0.566462 0.481190i
\(643\) −8.68907 + 8.68907i −0.342663 + 0.342663i −0.857368 0.514704i \(-0.827902\pi\)
0.514704 + 0.857368i \(0.327902\pi\)
\(644\) 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 \(-0.117726\pi\)
−0.361474 + 0.932382i \(0.617726\pi\)
\(648\) −16.3828 27.2222i −0.643576 1.06939i
\(649\) 35.0264i 1.37491i
\(650\) −0.846633 + 7.02020i −0.0332077 + 0.275355i
\(651\) 16.4356i 0.644163i
\(652\) −20.2766 28.2246i −0.794093 1.10536i
\(653\) −6.97993 6.97993i −0.273146 0.273146i 0.557220 0.830365i \(-0.311868\pi\)
−0.830365 + 0.557220i \(0.811868\pi\)
\(654\) −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
\(658\) −16.8315 19.8142i −0.656161 0.772440i
\(659\) −9.51098 −0.370495 −0.185248 0.982692i \(-0.559309\pi\)
−0.185248 + 0.982692i \(0.559309\pi\)
\(660\) −39.4953 7.26171i −1.53735 0.282662i
\(661\) 35.1819 1.36842 0.684209 0.729286i \(-0.260147\pi\)
0.684209 + 0.729286i \(0.260147\pi\)
\(662\) 21.5665 + 25.3883i 0.838205 + 0.986743i
\(663\) −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
\(668\) 3.28333 2.35875i 0.127036 0.0912626i
\(669\) 1.90855i 0.0737889i
\(670\) 16.3207 + 19.9862i 0.630523 + 0.772133i
\(671\) 14.1127i 0.544816i
\(672\) −33.1738 + 13.2241i −1.27971 + 0.510131i
\(673\) 0.548448 + 0.548448i 0.0211411 + 0.0211411i 0.717598 0.696457i \(-0.245241\pi\)
−0.696457 + 0.717598i \(0.745241\pi\)
\(674\) 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 −0.465371 0.885116i \(-0.654079\pi\)
0.885116 + 0.465371i \(0.154079\pi\)
\(678\) 37.3864 31.7585i 1.43582 1.21968i
\(679\) 18.4345 0.707450
\(680\) 6.53928 + 11.3590i 0.250770 + 0.435600i
\(681\) 10.4332 0.399800
\(682\) 12.0537 10.2392i 0.461560 0.392080i
\(683\) 17.9651 17.9651i 0.687415 0.687415i −0.274245 0.961660i \(-0.588428\pi\)
0.961660 + 0.274245i \(0.0884280\pi\)
\(684\) −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
\(688\) −41.0824 + 20.3819i −1.56625 + 0.777052i
\(689\) 5.31216i 0.202377i
\(690\) −3.98037 + 39.4259i −0.151530 + 1.50092i
\(691\) 14.6928i 0.558939i 0.960155 + 0.279470i \(0.0901586\pi\)
−0.960155 + 0.279470i \(0.909841\pi\)
\(692\) 6.43138 4.62031i 0.244484 0.175638i
\(693\) 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
\(698\) −25.4207 29.9255i −0.962186 1.13270i
\(699\) −59.5646 −2.25294
\(700\) −16.6560 25.1930i −0.629537 0.952205i
\(701\) −19.0749 −0.720448 −0.360224 0.932866i \(-0.617300\pi\)
−0.360224 + 0.932866i \(0.617300\pi\)
\(702\) −3.12040 3.67337i −0.117772 0.138642i
\(703\) −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
\(708\) 19.8894 + 27.6856i 0.747488 + 1.04049i
\(709\) 22.4323i 0.842465i −0.906953 0.421232i \(-0.861598\pi\)
0.906953 0.421232i \(-0.138402\pi\)
\(710\) −3.69402 + 36.5896i −0.138634 + 1.37318i
\(711\) 0.502606i 0.0188492i
\(712\) −31.6839 + 19.0679i −1.18741 + 0.714601i
\(713\) −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
\(718\) 9.59940 8.15436i 0.358246 0.304318i
\(719\) 1.41581 0.0528007 0.0264004 0.999651i \(-0.491596\pi\)
0.0264004 + 0.999651i \(0.491596\pi\)
\(720\) 11.0773 5.23040i 0.412828 0.194926i
\(721\) 14.4780 0.539191
\(722\) −3.46369 + 2.94228i −0.128905 + 0.109500i
\(723\) −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 \(-0.294173\pi\)
−0.798122 + 0.602496i \(0.794173\pi\)
\(728\) −7.31898 + 4.40469i −0.271259 + 0.163249i
\(729\) 5.98783i 0.221772i
\(730\) −22.4998 27.5531i −0.832756 1.01979i
\(731\) 23.7601i 0.878799i
\(732\) −8.01376 11.1550i −0.296197 0.412300i
\(733\) 12.2849 + 12.2849i 0.453754 + 0.453754i 0.896598 0.442845i \(-0.146031\pi\)
−0.442845 + 0.896598i \(0.646031\pi\)
\(734\) −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
\(738\) −10.9637 12.9066i −0.403580 0.475099i
\(739\) 24.6918 0.908302 0.454151 0.890925i \(-0.349943\pi\)
0.454151 + 0.890925i \(0.349943\pi\)
\(740\) 3.04548 16.5639i 0.111954 0.608902i
\(741\) −8.30544 −0.305108
\(742\) 14.6889 + 17.2920i 0.539248 + 0.634808i
\(743\) 20.2250 20.2250i 0.741982 0.741982i −0.230977 0.972959i \(-0.574192\pi\)
0.972959 + 0.230977i \(0.0741924\pi\)
\(744\) −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
\(748\) −14.4599 + 10.3880i −0.528705 + 0.379822i
\(749\) 19.2394i 0.702992i
\(750\) 19.8963 + 26.3920i 0.726509 + 0.963701i
\(751\) 11.0376i 0.402768i −0.979512 0.201384i \(-0.935456\pi\)
0.979512 0.201384i \(-0.0645440\pi\)
\(752\) −10.8211 21.8113i −0.394604 0.795376i
\(753\) −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 −0.595902 0.803057i \(-0.703205\pi\)
0.803057 + 0.595902i \(0.203205\pi\)
\(758\) 22.8102 19.3764i 0.828502 0.703784i
\(759\) −53.8286 −1.95385
\(760\) −6.53407 + 24.2644i −0.237016 + 0.880164i
\(761\) 11.3969 0.413137 0.206569 0.978432i \(-0.433770\pi\)
0.206569 + 0.978432i \(0.433770\pi\)
\(762\) −46.6702 + 39.6448i −1.69068 + 1.43618i
\(763\) 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
\(768\) −33.1384 + 4.52409i −1.19578 + 0.163249i
\(769\) 47.6525i 1.71839i −0.511646 0.859197i \(-0.670964\pi\)
0.511646 0.859197i \(-0.329036\pi\)
\(770\) 31.7765 25.9487i 1.14515 0.935125i
\(771\) 18.0978i 0.651778i
\(772\) −7.44515 + 5.34860i −0.267957 + 0.192500i
\(773\) 14.0817 + 14.0817i 0.506483 + 0.506483i 0.913445 0.406962i \(-0.133412\pi\)
−0.406962 + 0.913445i \(0.633412\pi\)
\(774\) −22.1337 1.80154i −0.795580 0.0647550i
\(775\) −13.0072 0.505004i −0.467233 0.0181403i