Properties

Label 144.2.u.a.83.12
Level $144$
Weight $2$
Character 144.83
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.u (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(88\)
Relative dimension: \(22\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 83.12
Character \(\chi\) \(=\) 144.83
Dual form 144.2.u.a.59.12

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0381759 - 1.41370i) q^{2} +(-1.59321 + 0.679468i) q^{3} +(-1.99709 - 0.107938i) q^{4} +(-0.642590 + 2.39818i) q^{5} +(0.899740 + 2.27826i) q^{6} +(-1.93190 + 3.34616i) q^{7} +(-0.228833 + 2.81916i) q^{8} +(2.07665 - 2.16507i) q^{9} +O(q^{10})\) \(q+(0.0381759 - 1.41370i) q^{2} +(-1.59321 + 0.679468i) q^{3} +(-1.99709 - 0.107938i) q^{4} +(-0.642590 + 2.39818i) q^{5} +(0.899740 + 2.27826i) q^{6} +(-1.93190 + 3.34616i) q^{7} +(-0.228833 + 2.81916i) q^{8} +(2.07665 - 2.16507i) q^{9} +(3.36577 + 0.999982i) q^{10} +(-1.07665 - 4.01810i) q^{11} +(3.25512 - 1.18499i) q^{12} +(-0.850284 + 3.17330i) q^{13} +(4.65670 + 2.85887i) q^{14} +(-0.605703 - 4.25743i) q^{15} +(3.97670 + 0.431125i) q^{16} -1.33161i q^{17} +(-2.98148 - 3.01841i) q^{18} +(-6.09021 + 6.09021i) q^{19} +(1.54216 - 4.72001i) q^{20} +(0.804327 - 6.64380i) q^{21} +(-5.72148 + 1.36866i) q^{22} +(0.521462 - 0.301066i) q^{23} +(-1.55095 - 4.64700i) q^{24} +(-1.00822 - 0.582095i) q^{25} +(4.45363 + 1.32319i) q^{26} +(-1.83744 + 4.86043i) q^{27} +(4.21936 - 6.47403i) q^{28} +(0.0730837 + 0.272752i) q^{29} +(-6.04184 + 0.693750i) q^{30} +(5.84901 - 3.37693i) q^{31} +(0.761294 - 5.60539i) q^{32} +(4.44549 + 5.67013i) q^{33} +(-1.88250 - 0.0508355i) q^{34} +(-6.78326 - 6.78326i) q^{35} +(-4.38094 + 4.09968i) q^{36} +(0.00346351 - 0.00346351i) q^{37} +(8.37722 + 8.84221i) q^{38} +(-0.801475 - 5.63348i) q^{39} +(-6.61380 - 2.36034i) q^{40} +(0.614318 + 1.06403i) q^{41} +(-9.36162 - 1.39071i) q^{42} +(0.563698 - 0.151042i) q^{43} +(1.71645 + 8.14070i) q^{44} +(3.85780 + 6.37143i) q^{45} +(-0.405710 - 0.748684i) q^{46} +(-1.24972 + 2.16458i) q^{47} +(-6.62866 + 2.01517i) q^{48} +(-3.96450 - 6.86672i) q^{49} +(-0.861396 + 1.40309i) q^{50} +(0.904787 + 2.12154i) q^{51} +(2.04061 - 6.24558i) q^{52} +(3.24883 + 3.24883i) q^{53} +(6.80104 + 2.78314i) q^{54} +10.3280 q^{55} +(-8.99125 - 6.21205i) q^{56} +(5.56489 - 13.8411i) q^{57} +(0.388379 - 0.0929058i) q^{58} +(5.40194 + 1.44745i) q^{59} +(0.750101 + 8.56782i) q^{60} +(-1.97301 + 0.528668i) q^{61} +(-4.55067 - 8.39766i) q^{62} +(3.23278 + 11.1315i) q^{63} +(-7.89527 - 1.29023i) q^{64} +(-7.06377 - 4.07827i) q^{65} +(8.18557 - 6.06812i) q^{66} +(9.90429 + 2.65385i) q^{67} +(-0.143732 + 2.65934i) q^{68} +(-0.626235 + 0.833979i) q^{69} +(-9.84844 + 9.33053i) q^{70} +7.85052i q^{71} +(5.62847 + 6.34983i) q^{72} +7.41855i q^{73} +(-0.00476414 - 0.00502859i) q^{74} +(2.00182 + 0.242349i) q^{75} +(12.8200 - 11.5053i) q^{76} +(15.5252 + 4.15995i) q^{77} +(-7.99464 + 0.917980i) q^{78} +(0.839597 + 0.484742i) q^{79} +(-3.58930 + 9.25980i) q^{80} +(-0.375072 - 8.99218i) q^{81} +(1.52767 - 0.827840i) q^{82} +(-0.639302 + 0.171300i) q^{83} +(-2.32343 + 13.1814i) q^{84} +(3.19344 + 0.855680i) q^{85} +(-0.192009 - 0.802665i) q^{86} +(-0.301764 - 0.384894i) q^{87} +(11.5740 - 2.11576i) q^{88} -11.2223 q^{89} +(9.15455 - 5.21053i) q^{90} +(-8.97570 - 8.97570i) q^{91} +(-1.07390 + 0.544969i) q^{92} +(-7.02420 + 9.35438i) q^{93} +(3.01235 + 1.84936i) q^{94} +(-10.6919 - 18.5189i) q^{95} +(2.59578 + 9.44785i) q^{96} +(-3.24710 + 5.62414i) q^{97} +(-9.85882 + 5.34247i) q^{98} +(-10.9353 - 6.01316i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} + O(q^{10}) \) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} - 8q^{10} - 6q^{11} - 16q^{12} - 2q^{13} - 6q^{14} - 2q^{16} - 10q^{18} - 8q^{19} - 48q^{20} + 2q^{21} - 2q^{22} - 12q^{23} - 16q^{27} + 8q^{28} - 6q^{29} - 34q^{30} - 6q^{32} - 8q^{33} + 2q^{34} - 26q^{36} - 8q^{37} - 6q^{38} - 32q^{39} - 2q^{40} + 48q^{42} - 2q^{43} + 6q^{45} - 40q^{46} + 42q^{48} - 24q^{49} + 72q^{50} - 12q^{51} - 2q^{52} - 38q^{54} - 16q^{55} + 36q^{56} + 16q^{58} - 42q^{59} + 70q^{60} - 2q^{61} - 44q^{64} - 12q^{65} + 104q^{66} - 2q^{67} + 96q^{68} - 10q^{69} - 16q^{70} - 10q^{72} + 78q^{74} - 56q^{75} - 14q^{76} - 6q^{77} + 12q^{78} - 8q^{81} - 36q^{82} + 54q^{83} + 158q^{84} + 8q^{85} + 54q^{86} + 48q^{87} + 22q^{88} + 64q^{90} + 20q^{91} + 108q^{92} - 34q^{93} + 6q^{94} - 58q^{96} - 4q^{97} + 46q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0381759 1.41370i 0.0269945 0.999636i
\(3\) −1.59321 + 0.679468i −0.919841 + 0.392291i
\(4\) −1.99709 0.107938i −0.998543 0.0539692i
\(5\) −0.642590 + 2.39818i −0.287375 + 1.07250i 0.659711 + 0.751519i \(0.270679\pi\)
−0.947086 + 0.320979i \(0.895988\pi\)
\(6\) 0.899740 + 2.27826i 0.367317 + 0.930096i
\(7\) −1.93190 + 3.34616i −0.730191 + 1.26473i 0.226610 + 0.973985i \(0.427236\pi\)
−0.956801 + 0.290742i \(0.906098\pi\)
\(8\) −0.228833 + 2.81916i −0.0809047 + 0.996722i
\(9\) 2.07665 2.16507i 0.692216 0.721691i
\(10\) 3.36577 + 0.999982i 1.06435 + 0.316222i
\(11\) −1.07665 4.01810i −0.324621 1.21150i −0.914692 0.404151i \(-0.867567\pi\)
0.590071 0.807351i \(-0.299100\pi\)
\(12\) 3.25512 1.18499i 0.939672 0.342076i
\(13\) −0.850284 + 3.17330i −0.235826 + 0.880116i 0.741948 + 0.670457i \(0.233902\pi\)
−0.977775 + 0.209659i \(0.932765\pi\)
\(14\) 4.65670 + 2.85887i 1.24456 + 0.764066i
\(15\) −0.605703 4.25743i −0.156392 1.09926i
\(16\) 3.97670 + 0.431125i 0.994175 + 0.107781i
\(17\) 1.33161i 0.322963i −0.986876 0.161482i \(-0.948373\pi\)
0.986876 0.161482i \(-0.0516272\pi\)
\(18\) −2.98148 3.01841i −0.702742 0.711445i
\(19\) −6.09021 + 6.09021i −1.39719 + 1.39719i −0.589208 + 0.807981i \(0.700560\pi\)
−0.807981 + 0.589208i \(0.799440\pi\)
\(20\) 1.54216 4.72001i 0.344838 1.05543i
\(21\) 0.804327 6.64380i 0.175519 1.44980i
\(22\) −5.72148 + 1.36866i −1.21982 + 0.291799i
\(23\) 0.521462 0.301066i 0.108732 0.0627767i −0.444648 0.895706i \(-0.646671\pi\)
0.553380 + 0.832929i \(0.313338\pi\)
\(24\) −1.55095 4.64700i −0.316585 0.948564i
\(25\) −1.00822 0.582095i −0.201643 0.116419i
\(26\) 4.45363 + 1.32319i 0.873429 + 0.259499i
\(27\) −1.83744 + 4.86043i −0.353616 + 0.935391i
\(28\) 4.21936 6.47403i 0.797383 1.22348i
\(29\) 0.0730837 + 0.272752i 0.0135713 + 0.0506488i 0.972379 0.233406i \(-0.0749870\pi\)
−0.958808 + 0.284054i \(0.908320\pi\)
\(30\) −6.04184 + 0.693750i −1.10308 + 0.126661i
\(31\) 5.84901 3.37693i 1.05051 0.606514i 0.127721 0.991810i \(-0.459234\pi\)
0.922793 + 0.385296i \(0.125901\pi\)
\(32\) 0.761294 5.60539i 0.134579 0.990903i
\(33\) 4.44549 + 5.67013i 0.773861 + 0.987044i
\(34\) −1.88250 0.0508355i −0.322845 0.00871821i
\(35\) −6.78326 6.78326i −1.14658 1.14658i
\(36\) −4.38094 + 4.09968i −0.730156 + 0.683280i
\(37\) 0.00346351 0.00346351i 0.000569398 0.000569398i −0.706822 0.707391i \(-0.749872\pi\)
0.707391 + 0.706822i \(0.249872\pi\)
\(38\) 8.37722 + 8.84221i 1.35896 + 1.43440i
\(39\) −0.801475 5.63348i −0.128339 0.902079i
\(40\) −6.61380 2.36034i −1.04573 0.373203i
\(41\) 0.614318 + 1.06403i 0.0959403 + 0.166174i 0.910001 0.414607i \(-0.136081\pi\)
−0.814060 + 0.580780i \(0.802748\pi\)
\(42\) −9.36162 1.39071i −1.44453 0.214591i
\(43\) 0.563698 0.151042i 0.0859631 0.0230337i −0.215581 0.976486i \(-0.569165\pi\)
0.301544 + 0.953452i \(0.402498\pi\)
\(44\) 1.71645 + 8.14070i 0.258764 + 1.22726i
\(45\) 3.85780 + 6.37143i 0.575087 + 0.949796i
\(46\) −0.405710 0.748684i −0.0598186 0.110387i
\(47\) −1.24972 + 2.16458i −0.182290 + 0.315736i −0.942660 0.333754i \(-0.891684\pi\)
0.760370 + 0.649490i \(0.225018\pi\)
\(48\) −6.62866 + 2.01517i −0.956764 + 0.290864i
\(49\) −3.96450 6.86672i −0.566358 0.980960i
\(50\) −0.861396 + 1.40309i −0.121820 + 0.198427i
\(51\) 0.904787 + 2.12154i 0.126695 + 0.297075i
\(52\) 2.04061 6.24558i 0.282982 0.866106i
\(53\) 3.24883 + 3.24883i 0.446262 + 0.446262i 0.894110 0.447848i \(-0.147809\pi\)
−0.447848 + 0.894110i \(0.647809\pi\)
\(54\) 6.80104 + 2.78314i 0.925504 + 0.378737i
\(55\) 10.3280 1.39262
\(56\) −8.99125 6.21205i −1.20151 0.830120i
\(57\) 5.56489 13.8411i 0.737088 1.83330i
\(58\) 0.388379 0.0929058i 0.0509967 0.0121991i
\(59\) 5.40194 + 1.44745i 0.703273 + 0.188441i 0.592696 0.805426i \(-0.298064\pi\)
0.110577 + 0.993868i \(0.464730\pi\)
\(60\) 0.750101 + 8.56782i 0.0968376 + 1.10610i
\(61\) −1.97301 + 0.528668i −0.252619 + 0.0676890i −0.382906 0.923787i \(-0.625077\pi\)
0.130287 + 0.991476i \(0.458410\pi\)
\(62\) −4.55067 8.39766i −0.577935 1.06650i
\(63\) 3.23278 + 11.1315i 0.407293 + 1.40244i
\(64\) −7.89527 1.29023i −0.986909 0.161279i
\(65\) −7.06377 4.07827i −0.876153 0.505847i
\(66\) 8.18557 6.06812i 1.00757 0.746934i
\(67\) 9.90429 + 2.65385i 1.21000 + 0.324219i 0.806763 0.590876i \(-0.201218\pi\)
0.403239 + 0.915095i \(0.367884\pi\)
\(68\) −0.143732 + 2.65934i −0.0174301 + 0.322492i
\(69\) −0.626235 + 0.833979i −0.0753898 + 0.100399i
\(70\) −9.84844 + 9.33053i −1.17711 + 1.11521i
\(71\) 7.85052i 0.931685i 0.884868 + 0.465843i \(0.154249\pi\)
−0.884868 + 0.465843i \(0.845751\pi\)
\(72\) 5.62847 + 6.34983i 0.663321 + 0.748335i
\(73\) 7.41855i 0.868275i 0.900847 + 0.434138i \(0.142947\pi\)
−0.900847 + 0.434138i \(0.857053\pi\)
\(74\) −0.00476414 0.00502859i −0.000553820 0.000584561i
\(75\) 2.00182 + 0.242349i 0.231150 + 0.0279840i
\(76\) 12.8200 11.5053i 1.47056 1.31975i
\(77\) 15.5252 + 4.15995i 1.76926 + 0.474071i
\(78\) −7.99464 + 0.917980i −0.905215 + 0.103941i
\(79\) 0.839597 + 0.484742i 0.0944620 + 0.0545377i 0.546487 0.837468i \(-0.315965\pi\)
−0.452025 + 0.892005i \(0.649298\pi\)
\(80\) −3.58930 + 9.25980i −0.401296 + 1.03528i
\(81\) −0.375072 8.99218i −0.0416747 0.999131i
\(82\) 1.52767 0.827840i 0.168703 0.0914196i
\(83\) −0.639302 + 0.171300i −0.0701725 + 0.0188027i −0.293735 0.955887i \(-0.594898\pi\)
0.223562 + 0.974690i \(0.428231\pi\)
\(84\) −2.32343 + 13.1814i −0.253507 + 1.43821i
\(85\) 3.19344 + 0.855680i 0.346378 + 0.0928116i
\(86\) −0.192009 0.802665i −0.0207048 0.0865535i
\(87\) −0.301764 0.384894i −0.0323525 0.0412650i
\(88\) 11.5740 2.11576i 1.23379 0.225541i
\(89\) −11.2223 −1.18956 −0.594781 0.803887i \(-0.702761\pi\)
−0.594781 + 0.803887i \(0.702761\pi\)
\(90\) 9.15455 5.21053i 0.964974 0.549238i
\(91\) −8.97570 8.97570i −0.940909 0.940909i
\(92\) −1.07390 + 0.544969i −0.111962 + 0.0568170i
\(93\) −7.02420 + 9.35438i −0.728376 + 0.970004i
\(94\) 3.01235 + 1.84936i 0.310700 + 0.190747i
\(95\) −10.6919 18.5189i −1.09697 1.90000i
\(96\) 2.59578 + 9.44785i 0.264931 + 0.964267i
\(97\) −3.24710 + 5.62414i −0.329693 + 0.571045i −0.982451 0.186521i \(-0.940279\pi\)
0.652758 + 0.757567i \(0.273612\pi\)
\(98\) −9.85882 + 5.34247i −0.995891 + 0.539671i
\(99\) −10.9353 6.01316i −1.09904 0.604345i
\(100\) 1.95067 + 1.27132i 0.195067 + 0.127132i
\(101\) −5.78490 + 1.55006i −0.575619 + 0.154237i −0.534872 0.844933i \(-0.679640\pi\)
−0.0407464 + 0.999170i \(0.512974\pi\)
\(102\) 3.03376 1.19810i 0.300387 0.118630i
\(103\) 6.06520 + 10.5052i 0.597622 + 1.03511i 0.993171 + 0.116667i \(0.0372211\pi\)
−0.395549 + 0.918445i \(0.629446\pi\)
\(104\) −8.75146 3.12324i −0.858151 0.306259i
\(105\) 15.4162 + 6.19816i 1.50446 + 0.604879i
\(106\) 4.71690 4.46884i 0.458146 0.434052i
\(107\) 3.78971 3.78971i 0.366365 0.366365i −0.499785 0.866150i \(-0.666588\pi\)
0.866150 + 0.499785i \(0.166588\pi\)
\(108\) 4.19416 9.50837i 0.403583 0.914943i
\(109\) −6.42830 6.42830i −0.615719 0.615719i 0.328711 0.944430i \(-0.393386\pi\)
−0.944430 + 0.328711i \(0.893386\pi\)
\(110\) 0.394280 14.6006i 0.0375931 1.39211i
\(111\) −0.00316476 + 0.00787146i −0.000300386 + 0.000747126i
\(112\) −9.12521 + 12.4738i −0.862251 + 1.17866i
\(113\) −8.09791 + 4.67533i −0.761788 + 0.439818i −0.829937 0.557857i \(-0.811624\pi\)
0.0681497 + 0.997675i \(0.478290\pi\)
\(114\) −19.3547 8.39547i −1.81273 0.786308i
\(115\) 0.386925 + 1.44402i 0.0360809 + 0.134656i
\(116\) −0.116514 0.552598i −0.0108181 0.0513074i
\(117\) 5.10469 + 8.43076i 0.471929 + 0.779424i
\(118\) 2.25247 7.58145i 0.207357 0.697930i
\(119\) 4.45578 + 2.57254i 0.408460 + 0.235825i
\(120\) 12.1410 0.733332i 1.10831 0.0669437i
\(121\) −5.45967 + 3.15214i −0.496333 + 0.286558i
\(122\) 0.672055 + 2.80943i 0.0608450 + 0.254354i
\(123\) −1.70171 1.27782i −0.153438 0.115217i
\(124\) −12.0455 + 6.11268i −1.08172 + 0.548935i
\(125\) −6.73411 + 6.73411i −0.602317 + 0.602317i
\(126\) 15.8600 4.14523i 1.41292 0.369286i
\(127\) 10.4883i 0.930687i 0.885130 + 0.465343i \(0.154069\pi\)
−0.885130 + 0.465343i \(0.845931\pi\)
\(128\) −2.12541 + 11.1123i −0.187861 + 0.982196i
\(129\) −0.795461 + 0.623657i −0.0700365 + 0.0549099i
\(130\) −6.03511 + 9.83034i −0.529314 + 0.862178i
\(131\) 4.83728 18.0530i 0.422635 1.57730i −0.346399 0.938087i \(-0.612596\pi\)
0.769034 0.639208i \(-0.220738\pi\)
\(132\) −8.26600 11.8036i −0.719463 1.02737i
\(133\) −8.61309 32.1445i −0.746849 2.78728i
\(134\) 4.12984 13.9004i 0.356764 1.20081i
\(135\) −10.4755 7.52978i −0.901585 0.648061i
\(136\) 3.75402 + 0.304716i 0.321904 + 0.0261292i
\(137\) 5.65739 9.79888i 0.483343 0.837175i −0.516474 0.856303i \(-0.672756\pi\)
0.999817 + 0.0191280i \(0.00608901\pi\)
\(138\) 1.15509 + 0.917145i 0.0983276 + 0.0780726i
\(139\) 1.71664 6.40659i 0.145603 0.543399i −0.854124 0.520069i \(-0.825906\pi\)
0.999728 0.0233307i \(-0.00742705\pi\)
\(140\) 12.8146 + 14.2789i 1.08303 + 1.20679i
\(141\) 0.520307 4.29777i 0.0438178 0.361938i
\(142\) 11.0983 + 0.299701i 0.931346 + 0.0251503i
\(143\) 13.6661 1.14282
\(144\) 9.19162 7.71454i 0.765968 0.642879i
\(145\) −0.701072 −0.0582208
\(146\) 10.4876 + 0.283210i 0.867959 + 0.0234386i
\(147\) 10.9820 + 8.24639i 0.905781 + 0.680151i
\(148\) −0.00729078 + 0.00654309i −0.000599298 + 0.000537838i
\(149\) −5.88059 + 21.9467i −0.481757 + 1.79794i 0.112483 + 0.993654i \(0.464120\pi\)
−0.594240 + 0.804288i \(0.702547\pi\)
\(150\) 0.419029 2.82071i 0.0342136 0.230310i
\(151\) 7.60398 13.1705i 0.618803 1.07180i −0.370902 0.928672i \(-0.620951\pi\)
0.989704 0.143126i \(-0.0457154\pi\)
\(152\) −15.7756 18.5629i −1.27957 1.50565i
\(153\) −2.88303 2.76529i −0.233079 0.223560i
\(154\) 6.47361 21.7891i 0.521658 1.75581i
\(155\) 4.33996 + 16.1970i 0.348594 + 1.30097i
\(156\) 0.992543 + 11.3371i 0.0794671 + 0.907691i
\(157\) 3.05749 11.4107i 0.244015 0.910675i −0.729862 0.683595i \(-0.760415\pi\)
0.973876 0.227080i \(-0.0729179\pi\)
\(158\) 0.717331 1.16843i 0.0570678 0.0929554i
\(159\) −7.38356 2.96860i −0.585554 0.235425i
\(160\) 12.9535 + 5.42769i 1.02407 + 0.429097i
\(161\) 2.32652i 0.183356i
\(162\) −12.7265 + 0.186954i −0.999892 + 0.0146885i
\(163\) −2.65630 + 2.65630i −0.208057 + 0.208057i −0.803441 0.595384i \(-0.797000\pi\)
0.595384 + 0.803441i \(0.297000\pi\)
\(164\) −1.11200 2.19127i −0.0868323 0.171109i
\(165\) −16.4546 + 7.01752i −1.28099 + 0.546313i
\(166\) 0.217761 + 0.910320i 0.0169015 + 0.0706545i
\(167\) −9.93169 + 5.73407i −0.768538 + 0.443715i −0.832353 0.554246i \(-0.813007\pi\)
0.0638151 + 0.997962i \(0.479673\pi\)
\(168\) 18.5458 + 3.78784i 1.43084 + 0.292238i
\(169\) 1.91146 + 1.10358i 0.147035 + 0.0848909i
\(170\) 1.33159 4.48190i 0.102128 0.343746i
\(171\) 0.538524 + 25.8329i 0.0411819 + 1.97550i
\(172\) −1.14206 + 0.240800i −0.0870809 + 0.0183608i
\(173\) −5.86908 21.9037i −0.446218 1.66531i −0.712701 0.701468i \(-0.752528\pi\)
0.266483 0.963840i \(-0.414138\pi\)
\(174\) −0.555644 + 0.411910i −0.0421233 + 0.0312268i
\(175\) 3.89556 2.24910i 0.294476 0.170016i
\(176\) −2.54920 16.4429i −0.192153 1.23943i
\(177\) −9.58993 + 1.36436i −0.720823 + 0.102551i
\(178\) −0.428422 + 15.8650i −0.0321116 + 1.18913i
\(179\) 7.29427 + 7.29427i 0.545199 + 0.545199i 0.925048 0.379849i \(-0.124024\pi\)
−0.379849 + 0.925048i \(0.624024\pi\)
\(180\) −7.01663 13.1407i −0.522989 0.979449i
\(181\) −2.73737 + 2.73737i −0.203467 + 0.203467i −0.801484 0.598016i \(-0.795956\pi\)
0.598016 + 0.801484i \(0.295956\pi\)
\(182\) −13.0316 + 12.3463i −0.965965 + 0.915167i
\(183\) 2.78422 2.18288i 0.205815 0.161363i
\(184\) 0.729425 + 1.53898i 0.0537739 + 0.113455i
\(185\) 0.00608051 + 0.0105317i 0.000447048 + 0.000774310i
\(186\) 12.9561 + 10.2872i 0.949988 + 0.754295i
\(187\) −5.35054 + 1.43367i −0.391271 + 0.104841i
\(188\) 2.72944 4.18795i 0.199065 0.305438i
\(189\) −12.7140 15.5383i −0.924807 1.13024i
\(190\) −26.5883 + 14.4081i −1.92892 + 1.04528i
\(191\) −2.98376 + 5.16802i −0.215897 + 0.373945i −0.953550 0.301236i \(-0.902601\pi\)
0.737653 + 0.675180i \(0.235934\pi\)
\(192\) 13.4555 3.30897i 0.971068 0.238804i
\(193\) 1.79816 + 3.11450i 0.129434 + 0.224187i 0.923458 0.383701i \(-0.125351\pi\)
−0.794023 + 0.607887i \(0.792017\pi\)
\(194\) 7.82688 + 4.80513i 0.561937 + 0.344988i
\(195\) 14.0251 + 1.69794i 1.00436 + 0.121592i
\(196\) 7.17627 + 14.1414i 0.512591 + 1.01010i
\(197\) 9.60375 + 9.60375i 0.684239 + 0.684239i 0.960952 0.276713i \(-0.0892453\pi\)
−0.276713 + 0.960952i \(0.589245\pi\)
\(198\) −8.91825 + 15.2296i −0.633793 + 1.08232i
\(199\) 11.8548 0.840363 0.420182 0.907440i \(-0.361966\pi\)
0.420182 + 0.907440i \(0.361966\pi\)
\(200\) 1.87173 2.70912i 0.132351 0.191564i
\(201\) −17.5828 + 2.50151i −1.24020 + 0.176443i
\(202\) 1.97047 + 8.23727i 0.138642 + 0.579572i
\(203\) −1.05386 0.282381i −0.0739666 0.0198193i
\(204\) −1.57794 4.33455i −0.110478 0.303479i
\(205\) −2.94649 + 0.789510i −0.205792 + 0.0551417i
\(206\) 15.0828 8.17332i 1.05087 0.569462i
\(207\) 0.431063 1.75421i 0.0299609 0.121926i
\(208\) −4.74941 + 12.2527i −0.329312 + 0.849571i
\(209\) 31.0280 + 17.9141i 2.14626 + 1.23914i
\(210\) 9.35086 21.5572i 0.645271 1.48759i
\(211\) −15.8165 4.23802i −1.08885 0.291757i −0.330635 0.943759i \(-0.607263\pi\)
−0.758218 + 0.652001i \(0.773930\pi\)
\(212\) −6.13752 6.83887i −0.421527 0.469696i
\(213\) −5.33418 12.5075i −0.365492 0.857003i
\(214\) −5.21283 5.50218i −0.356342 0.376121i
\(215\) 1.44891i 0.0988146i
\(216\) −13.2818 6.29226i −0.903715 0.428134i
\(217\) 26.0956i 1.77149i
\(218\) −9.33308 + 8.84226i −0.632116 + 0.598874i
\(219\) −5.04066 11.8193i −0.340616 0.798675i
\(220\) −20.6258 1.11478i −1.39059 0.0751588i
\(221\) 4.22561 + 1.13225i 0.284245 + 0.0761632i
\(222\) 0.0110070 + 0.00477452i 0.000738744 + 0.000320445i
\(223\) −15.9088 9.18497i −1.06533 0.615071i −0.138431 0.990372i \(-0.544206\pi\)
−0.926903 + 0.375301i \(0.877539\pi\)
\(224\) 17.2858 + 13.3765i 1.15495 + 0.893754i
\(225\) −3.35399 + 0.974058i −0.223599 + 0.0649372i
\(226\) 6.30036 + 11.6265i 0.419094 + 0.773383i
\(227\) 5.38000 1.44157i 0.357083 0.0956802i −0.0758175 0.997122i \(-0.524157\pi\)
0.432901 + 0.901441i \(0.357490\pi\)
\(228\) −12.6075 + 27.0412i −0.834955 + 1.79085i
\(229\) 25.8093 + 6.91557i 1.70552 + 0.456994i 0.974321 0.225165i \(-0.0722923\pi\)
0.731204 + 0.682159i \(0.238959\pi\)
\(230\) 2.05618 0.491868i 0.135581 0.0324328i
\(231\) −27.5614 + 3.92116i −1.81341 + 0.257993i
\(232\) −0.785655 + 0.143620i −0.0515808 + 0.00942909i
\(233\) −16.7979 −1.10047 −0.550233 0.835011i \(-0.685461\pi\)
−0.550233 + 0.835011i \(0.685461\pi\)
\(234\) 12.1134 6.89464i 0.791879 0.450717i
\(235\) −4.38799 4.38799i −0.286241 0.286241i
\(236\) −10.6319 3.47375i −0.692078 0.226122i
\(237\) −1.66702 0.201817i −0.108285 0.0131094i
\(238\) 3.80690 6.20092i 0.246765 0.401946i
\(239\) 7.79074 + 13.4940i 0.503941 + 0.872851i 0.999990 + 0.00455666i \(0.00145043\pi\)
−0.496049 + 0.868295i \(0.665216\pi\)
\(240\) −0.573218 17.1916i −0.0370010 1.10972i
\(241\) 7.24520 12.5490i 0.466704 0.808355i −0.532573 0.846384i \(-0.678775\pi\)
0.999277 + 0.0380291i \(0.0121080\pi\)
\(242\) 4.24775 + 7.83866i 0.273056 + 0.503888i
\(243\) 6.70747 + 14.0716i 0.430284 + 0.902694i
\(244\) 3.99734 0.842830i 0.255904 0.0539567i
\(245\) 19.0152 5.09510i 1.21484 0.325514i
\(246\) −1.87141 + 2.35693i −0.119317 + 0.150272i
\(247\) −14.1477 24.5045i −0.900195 1.55918i
\(248\) 8.18164 + 17.2620i 0.519535 + 1.09614i
\(249\) 0.902150 0.707303i 0.0571715 0.0448235i
\(250\) 9.26292 + 9.77708i 0.585838 + 0.618357i
\(251\) 19.7766 19.7766i 1.24829 1.24829i 0.291815 0.956475i \(-0.405741\pi\)
0.956475 0.291815i \(-0.0942590\pi\)
\(252\) −5.25463 22.5795i −0.331011 1.42237i
\(253\) −1.77114 1.77114i −0.111351 0.111351i
\(254\) 14.8273 + 0.400401i 0.930348 + 0.0251234i
\(255\) −5.66924 + 0.806561i −0.355021 + 0.0505088i
\(256\) 15.6283 + 3.42891i 0.976766 + 0.214307i
\(257\) 17.3273 10.0039i 1.08085 0.624028i 0.149723 0.988728i \(-0.452162\pi\)
0.931125 + 0.364700i \(0.118828\pi\)
\(258\) 0.851295 + 1.14835i 0.0529993 + 0.0714932i
\(259\) 0.00489828 + 0.0182806i 0.000304364 + 0.00113590i
\(260\) 13.6667 + 8.90710i 0.847575 + 0.552395i
\(261\) 0.742297 + 0.408179i 0.0459470 + 0.0252656i
\(262\) −25.3368 7.52764i −1.56531 0.465059i
\(263\) −5.23357 3.02160i −0.322716 0.186320i 0.329887 0.944021i \(-0.392989\pi\)
−0.652602 + 0.757700i \(0.726323\pi\)
\(264\) −17.0023 + 11.2350i −1.04642 + 0.691468i
\(265\) −9.87896 + 5.70362i −0.606859 + 0.350370i
\(266\) −45.7714 + 10.9492i −2.80642 + 0.671336i
\(267\) 17.8795 7.62520i 1.09421 0.466655i
\(268\) −19.4933 6.36901i −1.19074 0.389049i
\(269\) 16.3593 16.3593i 0.997443 0.997443i −0.00255337 0.999997i \(-0.500813\pi\)
0.999997 + 0.00255337i \(0.000812765\pi\)
\(270\) −11.0448 + 14.5217i −0.672162 + 0.883762i
\(271\) 12.7820i 0.776454i 0.921564 + 0.388227i \(0.126912\pi\)
−0.921564 + 0.388227i \(0.873088\pi\)
\(272\) 0.574090 5.29542i 0.0348093 0.321082i
\(273\) 20.3989 + 8.20149i 1.23460 + 0.496377i
\(274\) −13.6367 8.37192i −0.823822 0.505766i
\(275\) −1.25342 + 4.67783i −0.0755841 + 0.282084i
\(276\) 1.34066 1.59793i 0.0806984 0.0961842i
\(277\) 2.96015 + 11.0474i 0.177858 + 0.663776i 0.996047 + 0.0888264i \(0.0283116\pi\)
−0.818189 + 0.574949i \(0.805022\pi\)
\(278\) −8.99144 2.67139i −0.539271 0.160219i
\(279\) 4.83504 19.6762i 0.289466 1.17798i
\(280\) 20.6753 17.5708i 1.23559 1.05006i
\(281\) −3.53089 + 6.11568i −0.210635 + 0.364831i −0.951914 0.306367i \(-0.900887\pi\)
0.741278 + 0.671198i \(0.234220\pi\)
\(282\) −6.05589 0.899629i −0.360623 0.0535721i
\(283\) −7.56336 + 28.2269i −0.449595 + 1.67791i 0.253915 + 0.967227i \(0.418282\pi\)
−0.703510 + 0.710686i \(0.748385\pi\)
\(284\) 0.847373 15.6782i 0.0502823 0.930328i
\(285\) 29.6175 + 22.2398i 1.75439 + 1.31737i
\(286\) 0.521716 19.3197i 0.0308497 1.14240i
\(287\) −4.74721 −0.280219
\(288\) −10.5551 13.2887i −0.621968 0.783043i
\(289\) 15.2268 0.895695
\(290\) −0.0267641 + 0.991104i −0.00157164 + 0.0581996i
\(291\) 1.35190 11.1668i 0.0792495 0.654607i
\(292\) 0.800746 14.8155i 0.0468601 0.867010i
\(293\) 6.43469 24.0146i 0.375919 1.40295i −0.476080 0.879402i \(-0.657943\pi\)
0.851998 0.523545i \(-0.175391\pi\)
\(294\) 12.0772 15.2104i 0.704354 0.887091i
\(295\) −6.94247 + 12.0247i −0.404206 + 0.700106i
\(296\) 0.00897162 + 0.0105567i 0.000521465 + 0.000613598i
\(297\) 21.5080 + 2.15006i 1.24802 + 0.124759i
\(298\) 30.8015 + 9.15122i 1.78428 + 0.530116i
\(299\) 0.511984 + 1.91075i 0.0296088 + 0.110501i
\(300\) −3.97164 0.700064i −0.229303 0.0404182i
\(301\) −0.583598 + 2.17802i −0.0336381 + 0.125539i
\(302\) −18.3288 11.2525i −1.05470 0.647510i
\(303\) 8.16335 6.40022i 0.468972 0.367683i
\(304\) −26.8446 + 21.5933i −1.53964 + 1.23846i
\(305\) 5.07136i 0.290385i
\(306\) −4.01934 + 3.97017i −0.229771 + 0.226960i
\(307\) 13.0736 13.0736i 0.746147 0.746147i −0.227606 0.973753i \(-0.573090\pi\)
0.973753 + 0.227606i \(0.0730898\pi\)
\(308\) −30.5560 9.98354i −1.74109 0.568865i
\(309\) −16.8011 12.6160i −0.955783 0.717697i
\(310\) 23.0633 5.51707i 1.30991 0.313348i
\(311\) −24.9978 + 14.4325i −1.41749 + 0.818390i −0.996078 0.0884785i \(-0.971800\pi\)
−0.421414 + 0.906868i \(0.638466\pi\)
\(312\) 16.0651 0.970354i 0.909506 0.0549355i
\(313\) 17.2743 + 9.97334i 0.976403 + 0.563727i 0.901182 0.433440i \(-0.142700\pi\)
0.0752210 + 0.997167i \(0.476034\pi\)
\(314\) −16.0146 4.75799i −0.903756 0.268509i
\(315\) −28.7727 + 0.599807i −1.62116 + 0.0337953i
\(316\) −1.62442 1.05869i −0.0913810 0.0595562i
\(317\) 3.28240 + 12.2501i 0.184358 + 0.688034i 0.994767 + 0.102169i \(0.0325783\pi\)
−0.810409 + 0.585865i \(0.800755\pi\)
\(318\) −4.47858 + 10.3248i −0.251146 + 0.578986i
\(319\) 1.01726 0.587315i 0.0569556 0.0328833i
\(320\) 8.16763 18.1052i 0.456584 1.01211i
\(321\) −3.46282 + 8.61279i −0.193276 + 0.480719i
\(322\) 3.28900 + 0.0888172i 0.183289 + 0.00494959i
\(323\) 8.10979 + 8.10979i 0.451241 + 0.451241i
\(324\) −0.221551 + 17.9986i −0.0123084 + 0.999924i
\(325\) 2.70443 2.70443i 0.150015 0.150015i
\(326\) 3.65380 + 3.85661i 0.202365 + 0.213598i
\(327\) 14.6095 + 5.87382i 0.807905 + 0.324823i
\(328\) −3.14024 + 1.48837i −0.173391 + 0.0821816i
\(329\) −4.82867 8.36351i −0.266213 0.461095i
\(330\) 9.29248 + 23.5298i 0.511534 + 1.29527i
\(331\) 26.0714 6.98582i 1.43302 0.383975i 0.542934 0.839776i \(-0.317313\pi\)
0.890082 + 0.455800i \(0.150647\pi\)
\(332\) 1.29523 0.273096i 0.0710850 0.0149881i
\(333\) −0.000306260 0.0146913i −1.67829e−5 0.000805076i
\(334\) 7.72709 + 14.2593i 0.422807 + 0.780235i
\(335\) −12.7288 + 22.0469i −0.695449 + 1.20455i
\(336\) 6.06287 26.0736i 0.330757 1.42243i
\(337\) −1.19472 2.06931i −0.0650805 0.112723i 0.831649 0.555301i \(-0.187397\pi\)
−0.896730 + 0.442579i \(0.854064\pi\)
\(338\) 1.63310 2.66010i 0.0888291 0.144690i
\(339\) 9.72495 12.9511i 0.528187 0.703405i
\(340\) −6.28522 2.05356i −0.340864 0.111370i
\(341\) −19.8662 19.8662i −1.07581 1.07581i
\(342\) 36.5406 + 0.224886i 1.97589 + 0.0121605i
\(343\) 3.58951 0.193815
\(344\) 0.296819 + 1.62371i 0.0160034 + 0.0875448i
\(345\) −1.59762 2.03773i −0.0860129 0.109708i
\(346\) −31.1893 + 7.46091i −1.67675 + 0.401101i
\(347\) −30.9839 8.30210i −1.66330 0.445680i −0.700009 0.714134i \(-0.746821\pi\)
−0.963292 + 0.268454i \(0.913487\pi\)
\(348\) 0.561104 + 0.801238i 0.0300783 + 0.0429509i
\(349\) −4.24471 + 1.13737i −0.227214 + 0.0608818i −0.370630 0.928781i \(-0.620858\pi\)
0.143416 + 0.989663i \(0.454191\pi\)
\(350\) −3.03083 5.59300i −0.162005 0.298959i
\(351\) −13.8613 9.96351i −0.739860 0.531813i
\(352\) −23.3427 + 2.97607i −1.24417 + 0.158625i
\(353\) −30.3229 17.5069i −1.61393 0.931800i −0.988448 0.151558i \(-0.951571\pi\)
−0.625477 0.780243i \(-0.715096\pi\)
\(354\) 1.56268 + 13.6093i 0.0830557 + 0.723329i
\(355\) −18.8270 5.04467i −0.999231 0.267743i
\(356\) 22.4119 + 1.21132i 1.18783 + 0.0641998i
\(357\) −8.84696 1.07105i −0.468231 0.0566860i
\(358\) 10.5904 10.0334i 0.559718 0.530283i
\(359\) 3.80659i 0.200904i 0.994942 + 0.100452i \(0.0320289\pi\)
−0.994942 + 0.100452i \(0.967971\pi\)
\(360\) −18.8448 + 9.41774i −0.993210 + 0.496358i
\(361\) 55.1813i 2.90428i
\(362\) 3.76532 + 3.97432i 0.197901 + 0.208886i
\(363\) 6.55663 8.73169i 0.344134 0.458295i
\(364\) 16.9564 + 18.8941i 0.888757 + 0.990318i
\(365\) −17.7910 4.76709i −0.931224 0.249521i
\(366\) −2.97964 4.01938i −0.155748 0.210096i
\(367\) −5.70033 3.29109i −0.297555 0.171793i 0.343789 0.939047i \(-0.388289\pi\)
−0.641344 + 0.767253i \(0.721623\pi\)
\(368\) 2.20349 0.972435i 0.114865 0.0506917i
\(369\) 3.57942 + 0.879572i 0.186337 + 0.0457887i
\(370\) 0.0151208 0.00819394i 0.000786095 0.000425983i
\(371\) −17.1475 + 4.59467i −0.890256 + 0.238543i
\(372\) 15.0376 17.9233i 0.779665 0.929280i
\(373\) 8.46055 + 2.26700i 0.438071 + 0.117381i 0.471112 0.882073i \(-0.343853\pi\)
−0.0330416 + 0.999454i \(0.510519\pi\)
\(374\) 1.82252 + 7.61879i 0.0942403 + 0.393958i
\(375\) 6.15325 15.3045i 0.317753 0.790320i
\(376\) −5.81630 4.01848i −0.299953 0.207237i
\(377\) −0.927667 −0.0477773
\(378\) −22.4518 + 17.3806i −1.15479 + 0.893960i
\(379\) −17.4765 17.4765i −0.897706 0.897706i 0.0975266 0.995233i \(-0.468907\pi\)
−0.995233 + 0.0975266i \(0.968907\pi\)
\(380\) 19.3537 + 38.1379i 0.992826 + 1.95643i
\(381\) −7.12647 16.7101i −0.365100 0.856084i
\(382\) 7.19211 + 4.41543i 0.367980 + 0.225913i
\(383\) 4.06922 + 7.04809i 0.207927 + 0.360140i 0.951061 0.309002i \(-0.0999950\pi\)
−0.743134 + 0.669142i \(0.766662\pi\)
\(384\) −4.16421 19.1484i −0.212504 0.977160i
\(385\) −19.9526 + 34.5590i −1.01688 + 1.76129i
\(386\) 4.47161 2.42315i 0.227599 0.123335i
\(387\) 0.843584 1.53411i 0.0428818 0.0779831i
\(388\) 7.09180 10.8814i 0.360031 0.552420i
\(389\) 8.98924 2.40866i 0.455772 0.122124i −0.0236267 0.999721i \(-0.507521\pi\)
0.479399 + 0.877597i \(0.340855\pi\)
\(390\) 2.93580 19.7625i 0.148660 1.00071i
\(391\) −0.400903 0.694385i −0.0202745 0.0351165i
\(392\) 20.2656 9.60522i 1.02357 0.485137i
\(393\) 4.55960 + 32.0490i 0.230001 + 1.61666i
\(394\) 13.9434 13.2102i 0.702460 0.665519i
\(395\) −1.70201 + 1.70201i −0.0856376 + 0.0856376i
\(396\) 21.1896 + 13.1891i 1.06482 + 0.662778i
\(397\) 7.15374 + 7.15374i 0.359036 + 0.359036i 0.863458 0.504422i \(-0.168294\pi\)
−0.504422 + 0.863458i \(0.668294\pi\)
\(398\) 0.452567 16.7591i 0.0226851 0.840057i
\(399\) 35.5636 + 45.3606i 1.78041 + 2.27087i
\(400\) −3.75842 2.74948i −0.187921 0.137474i
\(401\) −3.93575 + 2.27231i −0.196542 + 0.113474i −0.595041 0.803695i \(-0.702864\pi\)
0.398500 + 0.917169i \(0.369531\pi\)
\(402\) 2.86513 + 24.9523i 0.142900 + 1.24451i
\(403\) 5.74270 + 21.4320i 0.286064 + 1.06761i
\(404\) 11.7202 2.47119i 0.583104 0.122946i
\(405\) 21.8059 + 4.87880i 1.08354 + 0.242429i
\(406\) −0.439434 + 1.47906i −0.0218088 + 0.0734046i
\(407\) −0.0176457 0.0101878i −0.000874666 0.000504988i
\(408\) −6.18799 + 2.06526i −0.306351 + 0.102245i
\(409\) −3.62043 + 2.09026i −0.179019 + 0.103356i −0.586832 0.809709i \(-0.699625\pi\)
0.407813 + 0.913066i \(0.366292\pi\)
\(410\) 1.00364 + 4.19559i 0.0495664 + 0.207205i
\(411\) −2.35539 + 19.4557i −0.116183 + 0.959679i
\(412\) −10.9788 21.6345i −0.540887 1.06586i
\(413\) −15.2794 + 15.2794i −0.751850 + 0.751850i
\(414\) −2.46347 0.676361i −0.121073 0.0332413i
\(415\) 1.64324i 0.0806634i
\(416\) 17.1403 + 7.18199i 0.840372 + 0.352126i
\(417\) 1.61810 + 11.3734i 0.0792386 + 0.556960i
\(418\) 26.5096 43.1804i 1.29663 2.11202i
\(419\) −1.68551 + 6.29040i −0.0823425 + 0.307306i −0.994798 0.101870i \(-0.967517\pi\)
0.912455 + 0.409177i \(0.134184\pi\)
\(420\) −30.1184 14.0423i −1.46963 0.685192i
\(421\) 5.43340 + 20.2777i 0.264808 + 0.988275i 0.962368 + 0.271749i \(0.0876022\pi\)
−0.697560 + 0.716526i \(0.745731\pi\)
\(422\) −6.59509 + 22.1980i −0.321044 + 1.08058i
\(423\) 2.09124 + 7.20080i 0.101680 + 0.350115i
\(424\) −9.90241 + 8.41553i −0.480903 + 0.408694i
\(425\) −0.775124 + 1.34255i −0.0375990 + 0.0651234i
\(426\) −17.8855 + 7.06343i −0.866557 + 0.342224i
\(427\) 2.04267 7.62335i 0.0988517 0.368920i
\(428\) −7.97743 + 7.15931i −0.385603 + 0.346059i
\(429\) −21.7730 + 9.28567i −1.05121 + 0.448317i
\(430\) 2.04832 + 0.0553133i 0.0987786 + 0.00266745i
\(431\) −0.0435385 −0.00209718 −0.00104859 0.999999i \(-0.500334\pi\)
−0.00104859 + 0.999999i \(0.500334\pi\)
\(432\) −9.40241 + 18.5363i −0.452374 + 0.891829i
\(433\) 2.44457 0.117479 0.0587393 0.998273i \(-0.481292\pi\)
0.0587393 + 0.998273i \(0.481292\pi\)
\(434\) 36.8913 + 0.996224i 1.77084 + 0.0478203i
\(435\) 1.11696 0.476356i 0.0535539 0.0228395i
\(436\) 12.1440 + 13.5317i 0.581592 + 0.648052i
\(437\) −1.34226 + 5.00937i −0.0642088 + 0.239631i
\(438\) −16.9014 + 6.67476i −0.807579 + 0.318932i
\(439\) −8.44077 + 14.6199i −0.402856 + 0.697767i −0.994069 0.108748i \(-0.965316\pi\)
0.591213 + 0.806515i \(0.298649\pi\)
\(440\) −2.36338 + 29.1161i −0.112670 + 1.38806i
\(441\) −23.0998 5.67632i −1.09999 0.270301i
\(442\) 1.76197 5.93051i 0.0838085 0.282085i
\(443\) −1.95722 7.30446i −0.0929905 0.347045i 0.903717 0.428131i \(-0.140828\pi\)
−0.996707 + 0.0810858i \(0.974161\pi\)
\(444\) 0.00716994 0.0153784i 0.000340270 0.000729825i
\(445\) 7.21135 26.9131i 0.341851 1.27580i
\(446\) −13.5921 + 22.1396i −0.643605 + 1.04834i
\(447\) −5.54303 38.9614i −0.262176 1.84281i
\(448\) 19.5702 23.9262i 0.924606 1.13041i
\(449\) 1.51444i 0.0714709i −0.999361 0.0357355i \(-0.988623\pi\)
0.999361 0.0357355i \(-0.0113774\pi\)
\(450\) 1.24898 + 4.77871i 0.0588776 + 0.225271i
\(451\) 3.61397 3.61397i 0.170175 0.170175i
\(452\) 16.6769 8.46296i 0.784414 0.398064i
\(453\) −3.16583 + 26.1500i −0.148744 + 1.22863i
\(454\) −1.83256 7.66074i −0.0860061 0.359536i
\(455\) 27.2930 15.7576i 1.27952 0.738730i
\(456\) 37.7467 + 18.8556i 1.76765 + 0.882994i
\(457\) 28.8273 + 16.6435i 1.34848 + 0.778548i 0.988035 0.154230i \(-0.0492898\pi\)
0.360450 + 0.932779i \(0.382623\pi\)
\(458\) 10.7618 36.2225i 0.502867 1.69257i
\(459\) 6.47221 + 2.44676i 0.302097 + 0.114205i
\(460\) −0.616856 2.92560i −0.0287611 0.136407i
\(461\) 4.54777 + 16.9725i 0.211811 + 0.790488i 0.987265 + 0.159084i \(0.0508542\pi\)
−0.775454 + 0.631404i \(0.782479\pi\)
\(462\) 4.49115 + 39.1132i 0.208947 + 1.81971i
\(463\) −9.07067 + 5.23695i −0.421550 + 0.243382i −0.695740 0.718294i \(-0.744923\pi\)
0.274190 + 0.961675i \(0.411590\pi\)
\(464\) 0.173042 + 1.11616i 0.00803326 + 0.0518165i
\(465\) −17.9198 22.8563i −0.831011 1.05994i
\(466\) −0.641275 + 23.7472i −0.0297065 + 1.10007i
\(467\) −2.14028 2.14028i −0.0990405 0.0990405i 0.655850 0.754891i \(-0.272310\pi\)
−0.754891 + 0.655850i \(0.772310\pi\)
\(468\) −9.28450 17.3879i −0.429176 0.803757i
\(469\) −28.0143 + 28.0143i −1.29358 + 1.29358i
\(470\) −6.37081 + 6.03578i −0.293863 + 0.278410i
\(471\) 2.88198 + 20.2572i 0.132795 + 0.933401i
\(472\) −5.31671 + 14.8977i −0.244722 + 0.685721i
\(473\) −1.21381 2.10237i −0.0558109 0.0966672i
\(474\) −0.348948 + 2.34896i −0.0160277 + 0.107891i
\(475\) 9.68533 2.59518i 0.444393 0.119075i
\(476\) −8.62089 5.61854i −0.395138 0.257525i
\(477\) 13.7806 0.287277i 0.630972 0.0131535i
\(478\) 19.3738 10.4986i 0.886137 0.480195i
\(479\) 8.05687 13.9549i 0.368128 0.637616i −0.621145 0.783696i \(-0.713332\pi\)
0.989273 + 0.146080i \(0.0466656\pi\)
\(480\) −24.3257 + 0.154050i −1.11031 + 0.00703139i
\(481\) 0.00804581 + 0.0139357i 0.000366857 + 0.000635415i
\(482\) −17.4640 10.7216i −0.795462 0.488355i
\(483\) −1.58080 3.70665i −0.0719288 0.168658i
\(484\) 11.2437 5.70578i 0.511075 0.259354i
\(485\) −11.4012 11.4012i −0.517700 0.517700i
\(486\) 20.1491 8.94514i 0.913980 0.405760i
\(487\) −31.5803 −1.43104 −0.715520 0.698593i \(-0.753810\pi\)
−0.715520 + 0.698593i \(0.753810\pi\)
\(488\) −1.03891 5.68321i −0.0470290 0.257267i
\(489\) 2.42718 6.03692i 0.109761 0.272999i
\(490\) −6.47702 27.0762i −0.292602 1.22318i
\(491\) 37.5248 + 10.0547i 1.69347 + 0.453764i 0.971282 0.237931i \(-0.0764692\pi\)
0.722190 + 0.691695i \(0.243136\pi\)
\(492\) 3.26054 + 2.73559i 0.146996 + 0.123330i
\(493\) 0.363200 0.0973191i 0.0163577 0.00438303i
\(494\) −35.1820 + 19.0651i −1.58291 + 0.857777i
\(495\) 21.4475 22.3608i 0.963995 1.00504i
\(496\) 24.7156 10.9074i 1.10977 0.489756i
\(497\) −26.2691 15.1665i −1.17833 0.680308i
\(498\) −0.965473 1.30237i −0.0432639 0.0583606i
\(499\) 18.4149 + 4.93425i 0.824362 + 0.220887i 0.646253 0.763123i \(-0.276335\pi\)
0.178110 + 0.984011i \(0.443002\pi\)
\(500\) 14.1755 12.7217i 0.633946 0.568933i
\(501\) 11.9272 15.8838i 0.532867 0.709638i
\(502\) −27.2032 28.7132i −1.21414 1.28153i
\(503\) 29.5143i 1.31598i −0.753028 0.657988i \(-0.771408\pi\)
0.753028 0.657988i \(-0.228592\pi\)
\(504\) −32.1212 + 6.56647i −1.43079 + 0.292494i
\(505\) 14.8693i 0.661674i
\(506\) −2.57148 + 2.43625i −0.114316 + 0.108304i
\(507\) −3.79521 0.459464i −0.168551 0.0204055i
\(508\) 1.13209 20.9460i 0.0502285 0.929331i
\(509\) 3.05007 + 0.817265i 0.135192 + 0.0362246i 0.325781 0.945445i \(-0.394373\pi\)
−0.190588 + 0.981670i \(0.561040\pi\)
\(510\) 0.923806 + 8.04538i 0.0409068 + 0.356256i
\(511\) −24.8236 14.3319i −1.09813 0.634007i
\(512\) 5.44406 21.9627i 0.240596 0.970625i
\(513\) −18.4106 40.7914i −0.812849 1.80099i
\(514\) −13.4811 24.8775i −0.594624 1.09730i
\(515\) −29.0909 + 7.79488i −1.28190 + 0.343484i
\(516\) 1.65592 1.15963i 0.0728978 0.0510501i
\(517\) 10.0430 + 2.69101i 0.441690 + 0.118351i
\(518\) 0.0260303 0.00622681i 0.00114371 0.000273590i
\(519\) 24.2335 + 30.9094i 1.06373 + 1.35677i
\(520\) 13.1137 18.9806i 0.575073 0.832355i
\(521\) −10.0508 −0.440334 −0.220167 0.975462i \(-0.570660\pi\)
−0.220167 + 0.975462i \(0.570660\pi\)
\(522\) 0.605379 1.03380i 0.0264967 0.0452483i
\(523\) 10.1827 + 10.1827i 0.445258 + 0.445258i 0.893775 0.448516i \(-0.148047\pi\)
−0.448516 + 0.893775i \(0.648047\pi\)
\(524\) −11.6091 + 35.5312i −0.507144 + 1.55219i
\(525\) −4.67826 + 6.23020i −0.204176 + 0.271908i
\(526\) −4.47143 + 7.28334i −0.194964 + 0.317569i
\(527\) −4.49676 7.78861i −0.195882 0.339277i
\(528\) 15.2339 + 24.4650i 0.662968 + 1.06470i
\(529\) −11.3187 + 19.6046i −0.492118 + 0.852374i
\(530\) 7.68606 + 14.1836i 0.333861 + 0.616096i
\(531\) 14.3517 8.68975i 0.622813 0.377103i
\(532\) 13.7314 + 65.1249i 0.595334 + 2.82352i
\(533\) −3.89883 + 1.04469i −0.168877 + 0.0452505i
\(534\) −10.0972 25.5673i −0.436947 1.10641i
\(535\) 6.65317 + 11.5236i 0.287642 + 0.498210i
\(536\) −9.74803 + 27.3144i −0.421051 + 1.17980i
\(537\) −16.5775 6.66510i −0.715374 0.287620i
\(538\) −22.5026 23.7516i −0.970154 1.02401i
\(539\) −23.3228 + 23.3228i −1.00458 + 1.00458i
\(540\) 20.1077 + 16.1683i 0.865296 + 0.695774i
\(541\) −2.24130 2.24130i −0.0963612 0.0963612i 0.657283 0.753644i \(-0.271706\pi\)
−0.753644 + 0.657283i \(0.771706\pi\)
\(542\) 18.0700 + 0.487966i 0.776171 + 0.0209599i
\(543\) 2.50126 6.22117i 0.107339 0.266976i
\(544\) −7.46420 1.01375i −0.320025 0.0434641i
\(545\) 19.5470 11.2854i 0.837300 0.483415i
\(546\) 12.3732 28.5248i 0.529523 1.22075i
\(547\) −8.53649 31.8586i −0.364994 1.36218i −0.867429 0.497561i \(-0.834229\pi\)
0.502435 0.864615i \(-0.332437\pi\)
\(548\) −12.3560 + 18.9586i −0.527820 + 0.809869i
\(549\) −2.95265 + 5.36957i −0.126016 + 0.229168i
\(550\) 6.56518 + 1.95054i 0.279940 + 0.0831712i
\(551\) −2.10621 1.21602i −0.0897277 0.0518043i
\(552\) −2.20781 1.95629i −0.0939708 0.0832654i
\(553\) −3.24404 + 1.87295i −0.137951 + 0.0796458i
\(554\) 15.7307 3.76301i 0.668335 0.159875i
\(555\) −0.0168435 0.0126478i −0.000714968 0.000536869i
\(556\) −4.11979 + 12.6092i −0.174718 + 0.534749i
\(557\) 13.3242 13.3242i 0.564566 0.564566i −0.366035 0.930601i \(-0.619285\pi\)
0.930601 + 0.366035i \(0.119285\pi\)
\(558\) −27.6317 7.58645i −1.16974 0.321160i
\(559\) 1.91721i 0.0810894i
\(560\) −24.0505 29.8994i −1.01632 1.26348i
\(561\) 7.55041 5.91967i 0.318779 0.249929i
\(562\) 8.51094 + 5.22509i 0.359012 + 0.220407i
\(563\) −6.87376 + 25.6532i −0.289695 + 1.08115i 0.655646 + 0.755069i \(0.272397\pi\)
−0.945340 + 0.326086i \(0.894270\pi\)
\(564\) −1.50299 + 8.52686i −0.0632874 + 0.359046i
\(565\) −6.00865 22.4246i −0.252786 0.943409i
\(566\) 39.6155 + 11.7699i 1.66516 + 0.494726i
\(567\) 30.8138 + 16.1170i 1.29406 + 0.676849i
\(568\) −22.1318 1.79646i −0.928631 0.0753777i
\(569\) 15.0997 26.1535i 0.633013 1.09641i −0.353919 0.935276i \(-0.615151\pi\)
0.986932 0.161135i \(-0.0515156\pi\)
\(570\) 32.5710 41.0211i 1.36425 1.71819i
\(571\) −7.88159 + 29.4145i −0.329834 + 1.23096i 0.579528 + 0.814953i \(0.303237\pi\)
−0.909362 + 0.416006i \(0.863430\pi\)
\(572\) −27.2924 1.47510i −1.14115 0.0616769i
\(573\) 1.24225 10.2611i 0.0518959 0.428664i
\(574\) −0.181229 + 6.71113i −0.00756436 + 0.280117i
\(575\) −0.700996 −0.0292336
\(576\) −19.1891 + 14.4145i −0.799547 + 0.600603i
\(577\) 25.2709 1.05204 0.526021 0.850472i \(-0.323683\pi\)
0.526021 + 0.850472i \(0.323683\pi\)
\(578\) 0.581298 21.5261i 0.0241788 0.895368i
\(579\) −4.98105 3.74027i −0.207005 0.155440i
\(580\) 1.40010 + 0.0756726i 0.0581360 + 0.00314213i
\(581\) 0.661872 2.47014i 0.0274591 0.102479i
\(582\) −15.7348 2.33747i −0.652229 0.0968914i
\(583\) 9.55629 16.5520i 0.395781 0.685513i
\(584\) −20.9140 1.69761i −0.865429 0.0702475i
\(585\) −23.4987 + 6.82444i −0.971552 + 0.282156i
\(586\) −33.7037 10.0135i −1.39229 0.413653i
\(587\) 3.42026 + 12.7646i 0.141169 + 0.526851i 0.999896 + 0.0144172i \(0.00458930\pi\)
−0.858727 + 0.512434i \(0.828744\pi\)
\(588\) −21.0419 17.6541i −0.867754 0.728044i
\(589\) −15.0555 + 56.1879i −0.620351 + 2.31518i
\(590\) 16.7343 + 10.2736i 0.688939 + 0.422958i
\(591\) −21.8263 8.77537i −0.897812 0.360971i
\(592\) 0.0152666 0.0122801i 0.000627452 0.000504711i
\(593\) 41.0718i 1.68662i 0.537429 + 0.843309i \(0.319396\pi\)
−0.537429 + 0.843309i \(0.680604\pi\)
\(594\) 3.86062 30.3237i 0.158403 1.24420i
\(595\) −9.03266 + 9.03266i −0.370303 + 0.370303i
\(596\) 14.1129 43.1946i 0.578088 1.76932i
\(597\) −18.8872 + 8.05494i −0.773001 + 0.329667i
\(598\) 2.72077 0.650846i 0.111260 0.0266151i
\(599\) 28.2975 16.3376i 1.15621 0.667536i 0.205814 0.978591i \(-0.434016\pi\)
0.950392 + 0.311055i \(0.100682\pi\)
\(600\) −1.14130 + 5.58798i −0.0465934 + 0.228128i
\(601\) 6.48334 + 3.74316i 0.264461 + 0.152687i 0.626368 0.779528i \(-0.284541\pi\)
−0.361907 + 0.932214i \(0.617874\pi\)
\(602\) 3.05678 + 0.908180i 0.124585 + 0.0370147i
\(603\) 26.3135 15.9324i 1.07157 0.648817i
\(604\) −16.6074 + 25.4818i −0.675745 + 1.03684i
\(605\) −4.05107 15.1188i −0.164699 0.614667i
\(606\) −8.73634 11.7848i −0.354889 0.478727i
\(607\) 28.1639 16.2604i 1.14314 0.659991i 0.195932 0.980617i \(-0.437227\pi\)
0.947206 + 0.320627i \(0.103893\pi\)
\(608\) 29.5016 + 38.7744i 1.19645 + 1.57251i
\(609\) 1.87089 0.266172i 0.0758125 0.0107858i
\(610\) −7.16937 0.193604i −0.290279 0.00783879i
\(611\) −5.80624 5.80624i −0.234895 0.234895i
\(612\) 5.45918 + 5.83370i 0.220674 + 0.235813i
\(613\) −8.73063 + 8.73063i −0.352627 + 0.352627i −0.861086 0.508459i \(-0.830215\pi\)
0.508459 + 0.861086i \(0.330215\pi\)
\(614\) −17.9830 18.9812i −0.725734 0.766017i
\(615\) 4.15794 3.25990i 0.167664 0.131452i
\(616\) −15.2802 + 42.8159i −0.615658 + 1.72510i
\(617\) 16.0423 + 27.7861i 0.645839 + 1.11863i 0.984107 + 0.177576i \(0.0568255\pi\)
−0.338268 + 0.941050i \(0.609841\pi\)
\(618\) −18.4766 + 23.2701i −0.743236 + 0.936061i
\(619\) 0.225364 0.0603861i 0.00905814 0.00242712i −0.254287 0.967129i \(-0.581841\pi\)
0.263345 + 0.964702i \(0.415174\pi\)
\(620\) −6.91900 32.8152i −0.277874 1.31789i
\(621\) 0.505156 + 3.08772i 0.0202712 + 0.123906i
\(622\) 19.4488 + 35.8902i 0.779827 + 1.43907i
\(623\) 21.6804 37.5516i 0.868608 1.50447i
\(624\) −0.758489 22.7482i −0.0303639 0.910657i
\(625\) −14.7328 25.5180i −0.589312 1.02072i
\(626\) 14.7588 24.0400i 0.589879 0.960830i
\(627\) −61.6063 7.45832i −2.46032 0.297857i
\(628\) −7.33773 + 22.4582i −0.292807 + 0.896178i
\(629\) −0.00461205 0.00461205i −0.000183895 0.000183895i
\(630\) −0.250478 + 40.6988i −0.00997928 + 1.62148i
\(631\) 43.7263 1.74071 0.870357 0.492421i \(-0.163888\pi\)
0.870357 + 0.492421i \(0.163888\pi\)
\(632\) −1.55869 + 2.25603i −0.0620013 + 0.0897400i
\(633\) 28.0786 3.99474i 1.11603 0.158777i
\(634\) 17.4432 4.17267i 0.692760 0.165718i
\(635\) −25.1529 6.73969i −0.998160 0.267456i
\(636\) 14.4252 + 6.72552i 0.571995 + 0.266684i
\(637\) 25.1611 6.74191i 0.996921 0.267124i
\(638\) −0.791452 1.46052i −0.0313339 0.0578225i
\(639\) 16.9969 + 16.3028i 0.672389 + 0.644927i
\(640\) −25.2835 12.2377i −0.999417 0.483739i
\(641\) 13.8843 + 8.01611i 0.548398 + 0.316617i 0.748475 0.663163i \(-0.230786\pi\)
−0.200078 + 0.979780i \(0.564120\pi\)
\(642\) 12.0437 + 5.22419i 0.475327 + 0.206182i
\(643\) −14.8089 3.96803i −0.584006 0.156484i −0.0452937 0.998974i \(-0.514422\pi\)
−0.538712 + 0.842490i \(0.681089\pi\)
\(644\) 0.251121 4.64627i 0.00989557 0.183089i
\(645\) −0.984485 2.30842i −0.0387641 0.0908938i
\(646\) 11.7744 11.1552i 0.463257 0.438895i
\(647\) 25.9667i 1.02086i 0.859920 + 0.510428i \(0.170513\pi\)
−0.859920 + 0.510428i \(0.829487\pi\)
\(648\) 25.4362 + 1.00032i 0.999228 + 0.0392963i
\(649\) 23.2639i 0.913188i
\(650\) −3.72001 3.92650i −0.145911 0.154010i
\(651\) −17.7311 41.5758i −0.694938 1.62949i
\(652\) 5.59157 5.01814i 0.218983 0.196526i
\(653\) −19.6002 5.25185i −0.767014 0.205521i −0.145962 0.989290i \(-0.546628\pi\)
−0.621052 + 0.783769i \(0.713294\pi\)
\(654\) 8.86153 20.4291i 0.346513 0.798842i
\(655\) 40.1859 + 23.2013i 1.57019 + 0.906551i
\(656\) 1.98423 + 4.49617i 0.0774711 + 0.175546i
\(657\) 16.0617 + 15.4057i 0.626626 + 0.601034i
\(658\) −12.0078 + 6.50700i −0.468113 + 0.253669i
\(659\) 20.5292 5.50079i 0.799706 0.214281i 0.164251 0.986419i \(-0.447479\pi\)
0.635455 + 0.772138i \(0.280813\pi\)
\(660\) 33.6188 12.2385i 1.30861 0.476383i
\(661\) −36.6676 9.82504i −1.42620 0.382150i −0.538523 0.842611i \(-0.681017\pi\)
−0.887680 + 0.460461i \(0.847684\pi\)
\(662\) −8.88054 37.1238i −0.345152 1.44286i
\(663\) −7.50161 + 1.06725i −0.291338 + 0.0414486i
\(664\) −0.336629 1.84149i −0.0130637 0.0714637i
\(665\) 82.6229 3.20398
\(666\) −0.0207807 0.000127893i −0.000805235 4.95577e-6i
\(667\) 0.120227 + 0.120227i 0.00465520 + 0.00465520i
\(668\) 20.4534 10.3794i 0.791364 0.401591i
\(669\) 31.5870 + 3.82406i 1.22123 + 0.147847i
\(670\) 30.6818 + 18.8363i 1.18534 + 0.727712i
\(671\) 4.24848 + 7.35858i 0.164011 + 0.284075i
\(672\) −36.6288 9.56646i −1.41299 0.369034i
\(673\) 13.2270 22.9098i 0.509863 0.883108i −0.490072 0.871682i \(-0.663030\pi\)
0.999935 0.0114260i \(-0.00363709\pi\)
\(674\) −2.97099 + 1.60997i −0.114438 + 0.0620139i
\(675\) 4.68177 3.83081i 0.180202 0.147448i
\(676\) −3.69823 2.41027i −0.142240 0.0927026i
\(677\) −38.2162 + 10.2400i −1.46877 + 0.393556i −0.902509 0.430671i \(-0.858277\pi\)
−0.566260 + 0.824226i \(0.691610\pi\)
\(678\) −17.9376 14.2426i −0.688891 0.546982i
\(679\) −12.5462 21.7306i −0.481478 0.833944i
\(680\) −3.14306 + 8.80700i −0.120531 + 0.337733i
\(681\) −7.59199 + 5.95226i −0.290926 + 0.228091i
\(682\) −28.8432 + 27.3263i −1.10446 + 1.04638i
\(683\) 8.25500 8.25500i 0.315869 0.315869i −0.531309 0.847178i \(-0.678300\pi\)
0.847178 + 0.531309i \(0.178300\pi\)
\(684\) 1.71289 51.6487i 0.0654940 1.97484i
\(685\) 19.8641 + 19.8641i 0.758968 + 0.758968i
\(686\) 0.137033 5.07448i 0.00523193 0.193745i
\(687\) −45.8185 + 6.51859i −1.74809 + 0.248700i
\(688\) 2.30677 0.357626i 0.0879449 0.0136344i
\(689\) −13.0720 + 7.54710i −0.498002 + 0.287522i
\(690\) −2.94173 + 2.18076i −0.111990 + 0.0830201i
\(691\) 2.28570 + 8.53034i 0.0869520 + 0.324509i 0.995677 0.0928867i \(-0.0296094\pi\)
−0.908725 + 0.417396i \(0.862943\pi\)
\(692\) 9.35680 + 44.3771i 0.355692 + 1.68696i
\(693\) 41.2469 24.9743i 1.56684 0.948696i
\(694\) −12.9195 + 43.4849i −0.490418 + 1.65066i
\(695\) 14.2610 + 8.23362i 0.540952 + 0.312319i
\(696\) 1.15413 0.762643i 0.0437472 0.0289079i
\(697\) 1.41687 0.818033i 0.0536679 0.0309852i
\(698\) 1.44585 + 6.04415i 0.0547261 + 0.228775i
\(699\) 26.7626 11.4136i 1.01225 0.431703i
\(700\) −8.02253 + 4.07117i −0.303223 + 0.153876i
\(701\) −33.2403 + 33.2403i −1.25547 + 1.25547i −0.302237 + 0.953233i \(0.597733\pi\)
−0.953233 + 0.302237i \(0.902267\pi\)
\(702\) −14.6146 + 19.2153i −0.551591 + 0.725235i
\(703\) 0.0421870i 0.00159111i
\(704\) 3.31614 + 33.1131i 0.124982 + 1.24800i
\(705\) 9.97249 + 4.00950i 0.375586 + 0.151006i
\(706\) −25.9071 + 42.1991i −0.975028 + 1.58818i
\(707\) 5.98913 22.3517i 0.225244 0.840623i
\(708\) 19.2992 1.68961i 0.725307 0.0634996i
\(709\) 2.25784 + 8.42638i 0.0847950 + 0.316459i 0.995275 0.0970932i \(-0.0309545\pi\)
−0.910480 + 0.413553i \(0.864288\pi\)
\(710\) −7.85038 + 26.4231i −0.294619 + 0.991640i
\(711\) 2.79305 0.811151i 0.104747 0.0304205i
\(712\) 2.56804 31.6374i 0.0962412 1.18566i
\(713\) 2.03336 3.52188i 0.0761499 0.131896i
\(714\) −1.85188 + 12.4660i −0.0693050 + 0.466530i
\(715\) −8.78170 + 32.7738i −0.328417 + 1.22567i
\(716\) −13.7799 15.3546i −0.514981 0.573829i
\(717\) −21.5810 16.2052i −0.805957 0.605193i
\(718\) 5.38136 + 0.145320i 0.200831 + 0.00542329i
\(719\) 28.3359 1.05675 0.528375 0.849011i \(-0.322801\pi\)
0.528375 + 0.849011i \(0.322801\pi\)
\(720\) 12.5944 + 27.0004i 0.469366 + 1.00625i
\(721\) −46.8696 −1.74551
\(722\) −78.0096 2.10660i −2.90322 0.0783993i
\(723\) −3.01646 + 24.9162i −0.112183 + 0.926642i
\(724\) 5.76224 5.17130i 0.214152 0.192190i
\(725\) 0.0850833 0.317535i 0.00315991 0.0117930i
\(726\) −12.0937 9.60243i −0.448838 0.356380i
\(727\) −23.7175 + 41.0800i −0.879635 + 1.52357i −0.0278935 + 0.999611i \(0.508880\pi\)
−0.851742 + 0.523962i \(0.824453\pi\)
\(728\) 27.3578 23.2500i 1.01395 0.861701i
\(729\) −20.2476 17.8615i −0.749912 0.661538i
\(730\) −7.41841 + 24.9691i −0.274568 + 0.924149i
\(731\) −0.201130 0.750626i −0.00743905 0.0277629i
\(732\) −5.79594 + 4.05887i −0.214224 + 0.150020i
\(733\) −10.5330 + 39.3098i −0.389046 + 1.45194i 0.442643 + 0.896698i \(0.354041\pi\)
−0.831689 + 0.555241i \(0.812626\pi\)
\(734\) −4.87022 + 7.93291i −0.179763 + 0.292809i
\(735\) −26.8333 + 21.0378i −0.989760 + 0.775990i
\(736\) −1.29061 3.15220i −0.0475725 0.116192i
\(737\) 42.6537i 1.57117i
\(738\) 1.38010 5.02665i 0.0508021 0.185033i
\(739\) 2.25483 2.25483i 0.0829451 0.0829451i −0.664417 0.747362i \(-0.731320\pi\)
0.747362 + 0.664417i \(0.231320\pi\)
\(740\) −0.0110065 0.0216891i −0.000404607 0.000797308i
\(741\) 39.1902 + 29.4279i 1.43969 + 1.08106i
\(742\) 5.84085 + 24.4168i 0.214424 + 0.896371i
\(743\) −17.9150 + 10.3432i −0.657238 + 0.379456i −0.791224 0.611527i \(-0.790556\pi\)
0.133986 + 0.990983i \(0.457222\pi\)
\(744\) −24.7641 21.9429i −0.907895 0.804466i
\(745\) −48.8533 28.2054i −1.78985 1.03337i
\(746\) 3.52784 11.8741i 0.129163 0.434742i
\(747\) −0.956727 + 1.73987i −0.0350048 + 0.0636584i
\(748\) 10.8402 2.28564i 0.396358 0.0835713i
\(749\) 5.35960 + 20.0023i 0.195836 + 0.730868i
\(750\) −21.4010 9.28310i −0.781454 0.338971i
\(751\) 6.17369 3.56438i 0.225281 0.130066i −0.383112 0.923702i \(-0.625148\pi\)
0.608393 + 0.793636i \(0.291814\pi\)
\(752\) −5.90296 + 8.06909i −0.215259 + 0.294249i
\(753\) −18.0708 + 44.9459i −0.658536 + 1.63792i
\(754\) −0.0354146 + 1.31144i −0.00128972 + 0.0477599i
\(755\) 26.6989 + 26.6989i 0.971673 + 0.971673i
\(756\) 23.7138 + 32.4036i 0.862461 + 1.17851i
\(757\) 18.4928 18.4928i 0.672132 0.672132i −0.286075 0.958207i \(-0.592351\pi\)
0.958207 + 0.286075i \(0.0923507\pi\)
\(758\) −25.3736 + 24.0393i −0.921612 + 0.873146i
\(759\) 4.02524 + 1.61837i 0.146107 + 0.0587432i
\(760\) 54.6544 25.9044i 1.98252 0.939651i
\(761\) 15.5559 + 26.9436i 0.563900 + 0.976704i 0.997151 + 0.0754303i \(0.0240330\pi\)
−0.433251 + 0.901273i \(0.642634\pi\)
\(762\) −23.8951 + 9.43675i −0.865628 + 0.341857i
\(763\) 33.9289 9.09123i 1.22831 0.329125i
\(764\) 6.51664 9.99891i 0.235764 0.361748i
\(765\) 8.48426 5.13709i 0.306749 0.185732i
\(766\) 10.1192 5.48358i 0.365622 0.198130i
\(767\) −9.18637 + 15.9113i −0.331700 + 0.574522i
\(768\) −27.2290 + 5.15593i −0.982541 + 0.186049i
\(769\) −18.6655 32.3296i −0.673094 1.16583i −0.977022 0.213138i \(-0.931631\pi\)
0.303928 0.952695i \(-0.401702\pi\)
\(770\) 48.0943 + 29.5263i 1.73320 + 1.06405i
\(771\) −20.8087 + 27.7117i −0.749409 + 0.998014i
\(772\) −3.25490 6.41401i −0.117146 0.230845i
\(773\) −17.6571 17.6571i −0.635082