Properties

Label 384.2.w.a.107.53
Level $384$
Weight $2$
Character 384.107
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 107.53
Character \(\chi\) \(=\) 384.107
Dual form 384.2.w.a.323.53

$q$-expansion

\(f(q)\) \(=\) \(q+(1.24308 - 0.674360i) q^{2} +(-1.63002 - 0.585693i) q^{3} +(1.09048 - 1.67656i) q^{4} +(-4.12559 + 1.25148i) q^{5} +(-2.42121 + 0.371158i) q^{6} +(-0.422304 + 2.12307i) q^{7} +(0.224941 - 2.81947i) q^{8} +(2.31393 + 1.90938i) q^{9} +O(q^{10})\) \(q+(1.24308 - 0.674360i) q^{2} +(-1.63002 - 0.585693i) q^{3} +(1.09048 - 1.67656i) q^{4} +(-4.12559 + 1.25148i) q^{5} +(-2.42121 + 0.371158i) q^{6} +(-0.422304 + 2.12307i) q^{7} +(0.224941 - 2.81947i) q^{8} +(2.31393 + 1.90938i) q^{9} +(-4.28447 + 4.33782i) q^{10} +(-0.302177 + 3.06805i) q^{11} +(-2.75945 + 2.09414i) q^{12} +(0.171337 + 0.0519744i) q^{13} +(0.906755 + 2.92392i) q^{14} +(7.45777 + 0.376387i) q^{15} +(-1.62172 - 3.65651i) q^{16} +(-4.66446 + 1.93208i) q^{17} +(4.16400 + 0.813089i) q^{18} +(-3.10645 + 1.66043i) q^{19} +(-2.40067 + 8.28151i) q^{20} +(1.93183 - 3.21330i) q^{21} +(1.69334 + 4.01760i) q^{22} +(-1.45869 + 2.18308i) q^{23} +(-2.01800 + 4.46404i) q^{24} +(11.2969 - 7.54835i) q^{25} +(0.248034 - 0.0509344i) q^{26} +(-2.65343 - 4.46758i) q^{27} +(3.09894 + 3.02318i) q^{28} +(-0.0508006 - 0.515787i) q^{29} +(9.52440 - 4.56134i) q^{30} +(-6.38649 + 6.38649i) q^{31} +(-4.48172 - 3.45169i) q^{32} +(2.28949 - 4.82400i) q^{33} +(-4.49536 + 5.54725i) q^{34} +(-0.914729 - 9.28740i) q^{35} +(5.72448 - 1.79730i) q^{36} +(-6.84520 - 3.65884i) q^{37} +(-2.74182 + 4.15891i) q^{38} +(-0.248841 - 0.185070i) q^{39} +(2.60050 + 11.9135i) q^{40} +(6.61203 - 9.89560i) q^{41} +(0.234492 - 5.29713i) q^{42} +(-1.77061 - 2.15749i) q^{43} +(4.81426 + 3.85226i) q^{44} +(-11.9359 - 4.98148i) q^{45} +(-0.341079 + 3.69742i) q^{46} +(1.93563 - 0.801763i) q^{47} +(0.501840 + 6.91000i) q^{48} +(2.13808 + 0.885622i) q^{49} +(8.95260 - 17.0013i) q^{50} +(8.73477 - 0.417389i) q^{51} +(0.273977 - 0.230579i) q^{52} +(-0.566090 + 5.74761i) q^{53} +(-6.31118 - 3.76418i) q^{54} +(-2.59296 - 13.0357i) q^{55} +(5.89093 + 1.66824i) q^{56} +(6.03608 - 0.887109i) q^{57} +(-0.410975 - 0.606905i) q^{58} +(-6.75349 + 2.04865i) q^{59} +(8.76357 - 12.0930i) q^{60} +(0.642263 - 0.782599i) q^{61} +(-3.63210 + 12.2457i) q^{62} +(-5.03093 + 4.10628i) q^{63} +(-7.89880 - 1.26843i) q^{64} -0.771909 q^{65} +(-0.407100 - 7.54054i) q^{66} +(4.09371 + 3.35962i) q^{67} +(-1.84723 + 9.92714i) q^{68} +(3.65631 - 2.70413i) q^{69} +(-7.40013 - 10.9281i) q^{70} +(-2.20760 + 11.0984i) q^{71} +(5.90394 - 6.09454i) q^{72} +(-2.42429 + 0.482221i) q^{73} +(-10.9765 + 0.0679161i) q^{74} +(-22.8352 + 5.68743i) q^{75} +(-0.603697 + 7.01882i) q^{76} +(-6.38607 - 1.93719i) q^{77} +(-0.434132 - 0.0622478i) q^{78} +(-2.28275 + 5.51104i) q^{79} +(11.2666 + 13.0557i) q^{80} +(1.70851 + 8.83634i) q^{81} +(1.54606 - 16.7599i) q^{82} +(1.73219 - 0.925876i) q^{83} +(-3.28068 - 6.74287i) q^{84} +(16.8257 - 13.8085i) q^{85} +(-3.65592 - 1.48790i) q^{86} +(-0.219287 + 0.870496i) q^{87} +(8.58230 + 1.54211i) q^{88} +(8.86643 - 5.92436i) q^{89} +(-18.1965 + 1.85670i) q^{90} +(-0.182701 + 0.341810i) q^{91} +(2.06941 + 4.82619i) q^{92} +(14.1506 - 6.66958i) q^{93} +(1.86546 - 2.30196i) q^{94} +(10.7379 - 10.7379i) q^{95} +(5.28365 + 8.25124i) q^{96} +(-5.12129 - 5.12129i) q^{97} +(3.25503 - 0.340940i) q^{98} +(-6.55730 + 6.52228i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992 q - 16 q^{3} - 32 q^{4} - 16 q^{6} - 32 q^{7} - 16 q^{9} + O(q^{10}) \) \( 992 q - 16 q^{3} - 32 q^{4} - 16 q^{6} - 32 q^{7} - 16 q^{9} - 32 q^{10} - 16 q^{12} - 32 q^{13} - 16 q^{15} - 32 q^{16} - 16 q^{18} - 32 q^{19} - 16 q^{21} - 32 q^{22} - 16 q^{24} - 32 q^{25} - 16 q^{27} - 32 q^{28} - 16 q^{30} - 32 q^{31} - 16 q^{33} - 32 q^{34} - 16 q^{36} - 32 q^{37} - 16 q^{39} - 32 q^{40} - 16 q^{42} - 32 q^{43} - 16 q^{45} - 32 q^{46} - 16 q^{48} - 32 q^{49} - 16 q^{51} - 128 q^{52} - 16 q^{54} - 32 q^{55} - 16 q^{57} - 320 q^{58} - 16 q^{60} - 32 q^{61} - 32 q^{63} - 224 q^{64} - 16 q^{66} - 32 q^{67} - 16 q^{69} - 224 q^{70} - 16 q^{72} - 32 q^{73} - 16 q^{75} - 256 q^{76} - 16 q^{78} - 32 q^{79} - 16 q^{81} - 32 q^{82} - 16 q^{84} - 32 q^{85} - 16 q^{87} - 32 q^{88} - 16 q^{90} - 32 q^{91} - 16 q^{93} - 32 q^{94} - 16 q^{96} - 32 q^{97} - 16 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{13}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.24308 0.674360i 0.878988 0.476844i
\(3\) −1.63002 0.585693i −0.941092 0.338150i
\(4\) 1.09048 1.67656i 0.545239 0.838281i
\(5\) −4.12559 + 1.25148i −1.84502 + 0.559680i −0.845342 + 0.534226i \(0.820603\pi\)
−0.999676 + 0.0254543i \(0.991897\pi\)
\(6\) −2.42121 + 0.371158i −0.988453 + 0.151525i
\(7\) −0.422304 + 2.12307i −0.159616 + 0.802444i 0.815156 + 0.579242i \(0.196651\pi\)
−0.974772 + 0.223203i \(0.928349\pi\)
\(8\) 0.224941 2.81947i 0.0795287 0.996833i
\(9\) 2.31393 + 1.90938i 0.771309 + 0.636461i
\(10\) −4.28447 + 4.33782i −1.35487 + 1.37174i
\(11\) −0.302177 + 3.06805i −0.0911097 + 0.925052i 0.835616 + 0.549314i \(0.185111\pi\)
−0.926726 + 0.375738i \(0.877389\pi\)
\(12\) −2.75945 + 2.09414i −0.796585 + 0.604527i
\(13\) 0.171337 + 0.0519744i 0.0475202 + 0.0144151i 0.313955 0.949438i \(-0.398346\pi\)
−0.266435 + 0.963853i \(0.585846\pi\)
\(14\) 0.906755 + 2.92392i 0.242340 + 0.781451i
\(15\) 7.45777 + 0.376387i 1.92559 + 0.0971826i
\(16\) −1.62172 3.65651i −0.405429 0.914126i
\(17\) −4.66446 + 1.93208i −1.13130 + 0.468599i −0.868222 0.496176i \(-0.834737\pi\)
−0.263076 + 0.964775i \(0.584737\pi\)
\(18\) 4.16400 + 0.813089i 0.981464 + 0.191647i
\(19\) −3.10645 + 1.66043i −0.712668 + 0.380929i −0.787540 0.616264i \(-0.788645\pi\)
0.0748713 + 0.997193i \(0.476145\pi\)
\(20\) −2.40067 + 8.28151i −0.536806 + 1.85180i
\(21\) 1.93183 3.21330i 0.421560 0.701200i
\(22\) 1.69334 + 4.01760i 0.361022 + 0.856555i
\(23\) −1.45869 + 2.18308i −0.304158 + 0.455205i −0.951791 0.306748i \(-0.900759\pi\)
0.647633 + 0.761953i \(0.275759\pi\)
\(24\) −2.01800 + 4.46404i −0.411923 + 0.911219i
\(25\) 11.2969 7.54835i 2.25938 1.50967i
\(26\) 0.248034 0.0509344i 0.0486435 0.00998906i
\(27\) −2.65343 4.46758i −0.510653 0.859787i
\(28\) 3.09894 + 3.02318i 0.585645 + 0.571327i
\(29\) −0.0508006 0.515787i −0.00943343 0.0957792i 0.989315 0.145793i \(-0.0465734\pi\)
−0.998749 + 0.0500140i \(0.984073\pi\)
\(30\) 9.52440 4.56134i 1.73891 0.832783i
\(31\) −6.38649 + 6.38649i −1.14705 + 1.14705i −0.159918 + 0.987130i \(0.551123\pi\)
−0.987130 + 0.159918i \(0.948877\pi\)
\(32\) −4.48172 3.45169i −0.792263 0.610179i
\(33\) 2.28949 4.82400i 0.398549 0.839751i
\(34\) −4.49536 + 5.54725i −0.770948 + 0.951345i
\(35\) −0.914729 9.28740i −0.154617 1.56986i
\(36\) 5.72448 1.79730i 0.954081 0.299550i
\(37\) −6.84520 3.65884i −1.12534 0.601509i −0.199682 0.979861i \(-0.563991\pi\)
−0.925662 + 0.378352i \(0.876491\pi\)
\(38\) −2.74182 + 4.15891i −0.444783 + 0.674664i
\(39\) −0.248841 0.185070i −0.0398464 0.0296349i
\(40\) 2.60050 + 11.9135i 0.411175 + 1.88368i
\(41\) 6.61203 9.89560i 1.03263 1.54543i 0.209311 0.977849i \(-0.432878\pi\)
0.823315 0.567584i \(-0.192122\pi\)
\(42\) 0.234492 5.29713i 0.0361829 0.817365i
\(43\) −1.77061 2.15749i −0.270015 0.329014i 0.620295 0.784368i \(-0.287013\pi\)
−0.890310 + 0.455354i \(0.849513\pi\)
\(44\) 4.81426 + 3.85226i 0.725777 + 0.580750i
\(45\) −11.9359 4.98148i −1.77929 0.742596i
\(46\) −0.341079 + 3.69742i −0.0502894 + 0.545155i
\(47\) 1.93563 0.801763i 0.282340 0.116949i −0.237019 0.971505i \(-0.576171\pi\)
0.519360 + 0.854556i \(0.326171\pi\)
\(48\) 0.501840 + 6.91000i 0.0724344 + 0.997373i
\(49\) 2.13808 + 0.885622i 0.305440 + 0.126517i
\(50\) 8.95260 17.0013i 1.26609 2.40435i
\(51\) 8.73477 0.417389i 1.22311 0.0584462i
\(52\) 0.273977 0.230579i 0.0379938 0.0319756i
\(53\) −0.566090 + 5.74761i −0.0777584 + 0.789495i 0.874667 + 0.484724i \(0.161080\pi\)
−0.952426 + 0.304771i \(0.901420\pi\)
\(54\) −6.31118 3.76418i −0.858843 0.512240i
\(55\) −2.59296 13.0357i −0.349634 1.75773i
\(56\) 5.89093 + 1.66824i 0.787208 + 0.222928i
\(57\) 6.03608 0.887109i 0.799498 0.117500i
\(58\) −0.410975 0.606905i −0.0539637 0.0796905i
\(59\) −6.75349 + 2.04865i −0.879230 + 0.266711i −0.697455 0.716629i \(-0.745684\pi\)
−0.181775 + 0.983340i \(0.558184\pi\)
\(60\) 8.76357 12.0930i 1.13137 1.56120i
\(61\) 0.642263 0.782599i 0.0822333 0.100202i −0.730269 0.683160i \(-0.760605\pi\)
0.812502 + 0.582959i \(0.198105\pi\)
\(62\) −3.63210 + 12.2457i −0.461278 + 1.55520i
\(63\) −5.03093 + 4.10628i −0.633838 + 0.517343i
\(64\) −7.89880 1.26843i −0.987350 0.158554i
\(65\) −0.771909 −0.0957435
\(66\) −0.407100 7.54054i −0.0501106 0.928177i
\(67\) 4.09371 + 3.35962i 0.500126 + 0.410443i 0.850345 0.526225i \(-0.176393\pi\)
−0.350219 + 0.936668i \(0.613893\pi\)
\(68\) −1.84723 + 9.92714i −0.224010 + 1.20384i
\(69\) 3.65631 2.70413i 0.440168 0.325538i
\(70\) −7.40013 10.9281i −0.884485 1.30616i
\(71\) −2.20760 + 11.0984i −0.261994 + 1.31713i 0.595797 + 0.803135i \(0.296836\pi\)
−0.857791 + 0.513998i \(0.828164\pi\)
\(72\) 5.90394 6.09454i 0.695786 0.718249i
\(73\) −2.42429 + 0.482221i −0.283742 + 0.0564397i −0.334909 0.942250i \(-0.608706\pi\)
0.0511677 + 0.998690i \(0.483706\pi\)
\(74\) −10.9765 + 0.0679161i −1.27599 + 0.00789509i
\(75\) −22.8352 + 5.68743i −2.63678 + 0.656728i
\(76\) −0.603697 + 7.01882i −0.0692488 + 0.805113i
\(77\) −6.38607 1.93719i −0.727760 0.220764i
\(78\) −0.434132 0.0622478i −0.0491558 0.00704817i
\(79\) −2.28275 + 5.51104i −0.256829 + 0.620040i −0.998725 0.0504744i \(-0.983927\pi\)
0.741896 + 0.670515i \(0.233927\pi\)
\(80\) 11.2666 + 13.0557i 1.25964 + 1.45967i
\(81\) 1.70851 + 8.83634i 0.189835 + 0.981816i
\(82\) 1.54606 16.7599i 0.170734 1.85082i
\(83\) 1.73219 0.925876i 0.190133 0.101628i −0.373584 0.927597i \(-0.621871\pi\)
0.563716 + 0.825968i \(0.309371\pi\)
\(84\) −3.28068 6.74287i −0.357951 0.735707i
\(85\) 16.8257 13.8085i 1.82500 1.49774i
\(86\) −3.65592 1.48790i −0.394228 0.160444i
\(87\) −0.219287 + 0.870496i −0.0235100 + 0.0933270i
\(88\) 8.58230 + 1.54211i 0.914877 + 0.164389i
\(89\) 8.86643 5.92436i 0.939840 0.627981i 0.0115881 0.999933i \(-0.496311\pi\)
0.928252 + 0.371952i \(0.121311\pi\)
\(90\) −18.1965 + 1.85670i −1.91808 + 0.195714i
\(91\) −0.182701 + 0.341810i −0.0191523 + 0.0358314i
\(92\) 2.06941 + 4.82619i 0.215751 + 0.503165i
\(93\) 14.1506 6.66958i 1.46735 0.691603i
\(94\) 1.86546 2.30196i 0.192407 0.237429i
\(95\) 10.7379 10.7379i 1.10169 1.10169i
\(96\) 5.28365 + 8.25124i 0.539261 + 0.842139i
\(97\) −5.12129 5.12129i −0.519989 0.519989i 0.397579 0.917568i \(-0.369850\pi\)
−0.917568 + 0.397579i \(0.869850\pi\)
\(98\) 3.25503 0.340940i 0.328807 0.0344401i
\(99\) −6.55730 + 6.52228i −0.659034 + 0.655513i
\(100\) −0.336253 27.1712i −0.0336253 2.71712i
\(101\) 11.1803 + 5.97598i 1.11248 + 0.594632i 0.922051 0.387069i \(-0.126513\pi\)
0.190428 + 0.981701i \(0.439013\pi\)
\(102\) 10.5765 6.40922i 1.04723 0.634608i
\(103\) −0.647034 0.968354i −0.0637541 0.0954148i 0.798223 0.602362i \(-0.205774\pi\)
−0.861977 + 0.506948i \(0.830774\pi\)
\(104\) 0.185081 0.471387i 0.0181487 0.0462233i
\(105\) −3.94854 + 15.6744i −0.385338 + 1.52966i
\(106\) 3.17226 + 7.52646i 0.308117 + 0.731035i
\(107\) −2.34743 2.86035i −0.226934 0.276520i 0.647078 0.762424i \(-0.275991\pi\)
−0.874013 + 0.485903i \(0.838491\pi\)
\(108\) −10.3837 0.423155i −0.999171 0.0407181i
\(109\) −0.226519 0.423787i −0.0216966 0.0405915i 0.870839 0.491568i \(-0.163576\pi\)
−0.892536 + 0.450976i \(0.851076\pi\)
\(110\) −12.0140 14.4558i −1.14549 1.37830i
\(111\) 9.01486 + 9.97317i 0.855652 + 0.946611i
\(112\) 8.44787 1.89886i 0.798248 0.179425i
\(113\) 4.02902 + 1.66887i 0.379018 + 0.156994i 0.564055 0.825737i \(-0.309241\pi\)
−0.185037 + 0.982732i \(0.559241\pi\)
\(114\) 6.90507 5.17323i 0.646719 0.484518i
\(115\) 3.28586 10.8320i 0.306408 1.01009i
\(116\) −0.920145 0.477284i −0.0854333 0.0443147i
\(117\) 0.297221 + 0.447412i 0.0274781 + 0.0413633i
\(118\) −7.01358 + 7.10091i −0.645652 + 0.653692i
\(119\) −2.13212 10.7189i −0.195451 0.982599i
\(120\) 2.73877 20.9423i 0.250014 1.91176i
\(121\) 1.46701 + 0.291806i 0.133364 + 0.0265278i
\(122\) 0.270628 1.40595i 0.0245015 0.127288i
\(123\) −16.5735 + 12.2574i −1.49438 + 1.10521i
\(124\) 3.74302 + 17.6717i 0.336133 + 1.58696i
\(125\) −23.4846 + 28.6161i −2.10053 + 2.55950i
\(126\) −3.48472 + 8.49708i −0.310443 + 0.756980i
\(127\) 3.15729i 0.280164i −0.990140 0.140082i \(-0.955263\pi\)
0.990140 0.140082i \(-0.0447366\pi\)
\(128\) −10.6742 + 3.74988i −0.943474 + 0.331446i
\(129\) 1.62250 + 4.55378i 0.142853 + 0.400938i
\(130\) −0.959542 + 0.520544i −0.0841574 + 0.0456548i
\(131\) 11.4166 + 9.36939i 0.997476 + 0.818608i 0.983429 0.181294i \(-0.0580285\pi\)
0.0140472 + 0.999901i \(0.495528\pi\)
\(132\) −5.59110 9.09894i −0.486642 0.791961i
\(133\) −2.21334 7.29641i −0.191921 0.632679i
\(134\) 7.35439 + 1.41563i 0.635322 + 0.122292i
\(135\) 16.5381 + 15.1107i 1.42337 + 1.30052i
\(136\) 4.39822 + 13.5859i 0.377144 + 1.16498i
\(137\) −18.6076 + 3.70128i −1.58975 + 0.316222i −0.909163 0.416441i \(-0.863277\pi\)
−0.680592 + 0.732663i \(0.738277\pi\)
\(138\) 2.72152 5.82710i 0.231671 0.496036i
\(139\) 21.1894 + 2.08697i 1.79726 + 0.177015i 0.940747 0.339109i \(-0.110125\pi\)
0.856514 + 0.516123i \(0.172625\pi\)
\(140\) −16.5684 8.59411i −1.40029 0.726334i
\(141\) −3.62470 + 0.173205i −0.305255 + 0.0145865i
\(142\) 4.74007 + 15.2848i 0.397778 + 1.28267i
\(143\) −0.211234 + 0.509964i −0.0176643 + 0.0426453i
\(144\) 3.22913 11.5574i 0.269095 0.963114i
\(145\) 0.855080 + 2.06435i 0.0710106 + 0.171435i
\(146\) −2.68839 + 2.23428i −0.222493 + 0.184911i
\(147\) −2.96641 2.69584i −0.244665 0.222349i
\(148\) −13.5988 + 7.48652i −1.11781 + 0.615389i
\(149\) −2.67768 + 2.19752i −0.219364 + 0.180028i −0.737657 0.675176i \(-0.764068\pi\)
0.518293 + 0.855203i \(0.326568\pi\)
\(150\) −24.5505 + 22.4690i −2.00454 + 1.83459i
\(151\) −15.2358 10.1802i −1.23987 0.828455i −0.249701 0.968323i \(-0.580332\pi\)
−0.990170 + 0.139868i \(0.955332\pi\)
\(152\) 3.98277 + 9.13203i 0.323045 + 0.740706i
\(153\) −14.4823 4.43554i −1.17082 0.358592i
\(154\) −9.24474 + 1.89843i −0.744962 + 0.152980i
\(155\) 18.3554 34.3406i 1.47434 2.75830i
\(156\) −0.581637 + 0.215383i −0.0465682 + 0.0172444i
\(157\) 3.79494 0.373769i 0.302869 0.0298300i 0.0545588 0.998511i \(-0.482625\pi\)
0.248310 + 0.968681i \(0.420125\pi\)
\(158\) 0.878795 + 8.39003i 0.0699131 + 0.667475i
\(159\) 4.28907 9.03716i 0.340146 0.716693i
\(160\) 22.8095 + 8.63147i 1.80325 + 0.682377i
\(161\) −4.01883 4.01883i −0.316728 0.316728i
\(162\) 8.08269 + 9.83210i 0.635036 + 0.772483i
\(163\) 9.05614 0.891952i 0.709332 0.0698631i 0.263085 0.964773i \(-0.415260\pi\)
0.446247 + 0.894910i \(0.352760\pi\)
\(164\) −9.38032 21.8764i −0.732480 1.70826i
\(165\) −3.40834 + 22.7671i −0.265339 + 1.77242i
\(166\) 1.52887 2.31906i 0.118664 0.179994i
\(167\) 1.63170 + 2.44201i 0.126264 + 0.188968i 0.889216 0.457488i \(-0.151251\pi\)
−0.762952 + 0.646456i \(0.776251\pi\)
\(168\) −8.62525 6.16954i −0.665453 0.475990i
\(169\) −10.7825 7.20460i −0.829419 0.554200i
\(170\) 11.6037 28.5115i 0.889963 2.18673i
\(171\) −10.3585 2.08928i −0.792134 0.159771i
\(172\) −5.54797 + 0.615836i −0.423029 + 0.0469571i
\(173\) 8.78574 + 16.4370i 0.667967 + 1.24968i 0.956367 + 0.292168i \(0.0943768\pi\)
−0.288400 + 0.957510i \(0.593123\pi\)
\(174\) 0.314437 + 1.22997i 0.0238374 + 0.0932439i
\(175\) 11.2549 + 27.1718i 0.850792 + 2.05399i
\(176\) 11.7084 3.87060i 0.882553 0.291758i
\(177\) 12.2082 + 0.616137i 0.917625 + 0.0463117i
\(178\) 7.02650 13.3436i 0.526659 1.00015i
\(179\) −1.35721 + 4.47414i −0.101443 + 0.334413i −0.992941 0.118613i \(-0.962155\pi\)
0.891498 + 0.453025i \(0.149655\pi\)
\(180\) −21.3676 + 14.5790i −1.59264 + 1.08666i
\(181\) −11.6777 1.15016i −0.868000 0.0854906i −0.345795 0.938310i \(-0.612391\pi\)
−0.522206 + 0.852820i \(0.674891\pi\)
\(182\) 0.00339134 + 0.548103i 0.000251383 + 0.0406281i
\(183\) −1.50526 + 0.899483i −0.111272 + 0.0664917i
\(184\) 5.82702 + 4.60380i 0.429573 + 0.339396i
\(185\) 32.8194 + 6.52819i 2.41293 + 0.479962i
\(186\) 13.0926 17.8334i 0.959998 1.30761i
\(187\) −4.51824 14.8946i −0.330406 1.08920i
\(188\) 0.766553 4.11950i 0.0559066 0.300446i
\(189\) 10.6055 3.74674i 0.771439 0.272535i
\(190\) 6.10683 20.5893i 0.443036 1.49370i
\(191\) 21.9499i 1.58824i 0.607762 + 0.794119i \(0.292067\pi\)
−0.607762 + 0.794119i \(0.707933\pi\)
\(192\) 12.1323 + 6.69384i 0.875573 + 0.483086i
\(193\) 2.63152i 0.189421i 0.995505 + 0.0947104i \(0.0301925\pi\)
−0.995505 + 0.0947104i \(0.969808\pi\)
\(194\) −9.81975 2.91256i −0.705017 0.209110i
\(195\) 1.25823 + 0.452102i 0.0901035 + 0.0323757i
\(196\) 3.81633 2.61887i 0.272595 0.187062i
\(197\) −3.65647 12.0538i −0.260512 0.858794i −0.985448 0.169978i \(-0.945630\pi\)
0.724936 0.688817i \(-0.241870\pi\)
\(198\) −3.75286 + 12.5297i −0.266704 + 0.890445i
\(199\) −7.35782 1.46356i −0.521582 0.103749i −0.0727240 0.997352i \(-0.523169\pi\)
−0.448858 + 0.893603i \(0.648169\pi\)
\(200\) −18.7412 33.5492i −1.32520 2.37229i
\(201\) −4.70512 7.87390i −0.331873 0.555382i
\(202\) 17.9279 0.110927i 1.26140 0.00780482i
\(203\) 1.11650 + 0.109966i 0.0783632 + 0.00771810i
\(204\) 8.82529 15.0995i 0.617894 1.05718i
\(205\) −14.8943 + 49.1000i −1.04026 + 3.42929i
\(206\) −1.45733 0.767405i −0.101537 0.0534676i
\(207\) −7.54365 + 2.26630i −0.524320 + 0.157519i
\(208\) −0.0878149 0.710781i −0.00608887 0.0492838i
\(209\) −4.15559 10.0325i −0.287448 0.693962i
\(210\) 5.66185 + 22.1472i 0.390704 + 1.52830i
\(211\) 11.4844 + 21.4858i 0.790620 + 1.47915i 0.875744 + 0.482775i \(0.160371\pi\)
−0.0851247 + 0.996370i \(0.527129\pi\)
\(212\) 9.01891 + 7.21672i 0.619421 + 0.495647i
\(213\) 10.0987 16.7976i 0.691949 1.15095i
\(214\) −4.84694 1.97262i −0.331330 0.134846i
\(215\) 10.0049 + 6.68503i 0.682325 + 0.455915i
\(216\) −13.1931 + 6.47633i −0.897675 + 0.440658i
\(217\) −10.8619 16.2560i −0.737355 1.10353i
\(218\) −0.567366 0.374045i −0.0384268 0.0253335i
\(219\) 4.23407 + 0.633861i 0.286112 + 0.0428323i
\(220\) −24.6827 9.86786i −1.66411 0.665291i
\(221\) −0.899611 + 0.0886040i −0.0605144 + 0.00596015i
\(222\) 17.9317 + 6.31815i 1.20349 + 0.424046i
\(223\) −1.44335 1.44335i −0.0966540 0.0966540i 0.657126 0.753780i \(-0.271772\pi\)
−0.753780 + 0.657126i \(0.771772\pi\)
\(224\) 9.22083 8.05733i 0.616093 0.538353i
\(225\) 40.5529 + 4.10378i 2.70353 + 0.273586i
\(226\) 6.13380 0.642470i 0.408014 0.0427365i
\(227\) −18.8936 + 1.86085i −1.25401 + 0.123509i −0.703122 0.711069i \(-0.748211\pi\)
−0.550889 + 0.834579i \(0.685711\pi\)
\(228\) 5.09491 11.0872i 0.337419 0.734269i
\(229\) −1.94515 + 3.63912i −0.128539 + 0.240480i −0.937956 0.346755i \(-0.887283\pi\)
0.809417 + 0.587235i \(0.199783\pi\)
\(230\) −3.22011 15.6809i −0.212328 1.03397i
\(231\) 9.27482 + 6.89794i 0.610238 + 0.453851i
\(232\) −1.46567 + 0.0272090i −0.0962261 + 0.00178636i
\(233\) −20.3445 13.5938i −1.33281 0.890557i −0.334164 0.942515i \(-0.608454\pi\)
−0.998649 + 0.0519576i \(0.983454\pi\)
\(234\) 0.671186 + 0.355733i 0.0438768 + 0.0232550i
\(235\) −6.98220 + 5.73015i −0.455469 + 0.373793i
\(236\) −3.92985 + 13.5567i −0.255811 + 0.882463i
\(237\) 6.94870 7.64611i 0.451367 0.496668i
\(238\) −9.87878 11.8866i −0.640346 0.770493i
\(239\) −7.72193 18.6424i −0.499490 1.20588i −0.949759 0.312983i \(-0.898672\pi\)
0.450269 0.892893i \(-0.351328\pi\)
\(240\) −10.7181 27.8798i −0.691853 1.79963i
\(241\) −8.31554 + 20.0755i −0.535651 + 1.29318i 0.392082 + 0.919930i \(0.371755\pi\)
−0.927733 + 0.373245i \(0.878245\pi\)
\(242\) 2.02038 0.626553i 0.129875 0.0402764i
\(243\) 2.39048 15.4041i 0.153349 0.988172i
\(244\) −0.611703 1.93020i −0.0391603 0.123568i
\(245\) −9.92918 0.977939i −0.634352 0.0624782i
\(246\) −12.3363 + 26.4134i −0.786531 + 1.68406i
\(247\) −0.618548 + 0.123037i −0.0393573 + 0.00782865i
\(248\) 16.5699 + 19.4431i 1.05219 + 1.23464i
\(249\) −3.36579 + 0.494663i −0.213298 + 0.0313480i
\(250\) −9.89564 + 51.4091i −0.625855 + 3.25140i
\(251\) −0.277108 0.913502i −0.0174909 0.0576597i 0.947761 0.318983i \(-0.103341\pi\)
−0.965251 + 0.261323i \(0.915841\pi\)
\(252\) 1.39832 + 12.9125i 0.0880858 + 0.813409i
\(253\) −6.25703 5.13502i −0.393376 0.322836i
\(254\) −2.12915 3.92475i −0.133595 0.246261i
\(255\) −35.5137 + 12.6534i −2.22395 + 0.792386i
\(256\) −10.7401 + 11.8596i −0.671254 + 0.741227i
\(257\) 10.0733i 0.628355i 0.949364 + 0.314178i \(0.101729\pi\)
−0.949364 + 0.314178i \(0.898271\pi\)
\(258\) 5.08778 + 4.56656i 0.316751 + 0.284301i
\(259\) 10.6587 12.9877i 0.662301 0.807016i
\(260\) −0.841749 + 1.29415i −0.0522031 + 0.0802599i
\(261\) 0.867286 1.29049i 0.0536836 0.0798794i
\(262\) 20.5101 + 3.94795i 1.26712 + 0.243905i
\(263\) 18.5426 + 3.68836i 1.14339 + 0.227434i 0.730214 0.683218i \(-0.239420\pi\)
0.413173 + 0.910652i \(0.364420\pi\)
\(264\) −13.0861 7.54026i −0.805395 0.464071i
\(265\) −4.85758 24.4207i −0.298399 1.50015i
\(266\) −7.67176 7.57740i −0.470386 0.464600i
\(267\) −17.9223 + 4.46381i −1.09683 + 0.273181i
\(268\) 10.0967 3.19976i 0.616755 0.195457i
\(269\) 4.98404 16.4302i 0.303882 1.00176i −0.663443 0.748227i \(-0.730906\pi\)
0.967325 0.253538i \(-0.0815944\pi\)
\(270\) 30.7481 + 7.63111i 1.87127 + 0.464414i
\(271\) −2.99909 1.24227i −0.182182 0.0754623i 0.289728 0.957109i \(-0.406435\pi\)
−0.471910 + 0.881647i \(0.656435\pi\)
\(272\) 14.6291 + 13.9223i 0.887020 + 0.844165i
\(273\) 0.498003 0.450150i 0.0301405 0.0272443i
\(274\) −20.6347 + 17.1492i −1.24659 + 1.03602i
\(275\) 19.7451 + 36.9404i 1.19067 + 2.22759i
\(276\) −0.546506 9.07882i −0.0328958 0.546481i
\(277\) 12.3125 + 15.0029i 0.739788 + 0.901435i 0.997906 0.0646787i \(-0.0206022\pi\)
−0.258118 + 0.966113i \(0.583102\pi\)
\(278\) 27.7474 11.6950i 1.66418 0.701420i
\(279\) −26.9721 + 2.58362i −1.61478 + 0.154677i
\(280\) −26.3913 + 0.489932i −1.57718 + 0.0292791i
\(281\) 1.08656 + 1.62615i 0.0648185 + 0.0970077i 0.862463 0.506120i \(-0.168921\pi\)
−0.797644 + 0.603128i \(0.793921\pi\)
\(282\) −4.38897 + 2.65966i −0.261360 + 0.158380i
\(283\) −8.08532 4.32170i −0.480623 0.256898i 0.213248 0.976998i \(-0.431596\pi\)
−0.693870 + 0.720100i \(0.744096\pi\)
\(284\) 16.1997 + 15.8037i 0.961278 + 0.937777i
\(285\) −23.7921 + 11.2139i −1.40932 + 0.664253i
\(286\) 0.0813193 + 0.776372i 0.00480851 + 0.0459078i
\(287\) 18.2167 + 18.2167i 1.07530 + 1.07530i
\(288\) −3.77976 16.5443i −0.222725 0.974881i
\(289\) 6.00342 6.00342i 0.353142 0.353142i
\(290\) 2.45504 + 1.98951i 0.144165 + 0.116828i
\(291\) 5.34830 + 11.3473i 0.313523 + 0.665191i
\(292\) −1.83516 + 4.59032i −0.107395 + 0.268628i
\(293\) −0.921387 + 1.72379i −0.0538280 + 0.100705i −0.907397 0.420275i \(-0.861934\pi\)
0.853569 + 0.520980i \(0.174434\pi\)
\(294\) −5.50544 1.35071i −0.321084 0.0787749i
\(295\) 25.2983 16.9038i 1.47292 0.984175i
\(296\) −11.8557 + 18.4768i −0.689101 + 1.07394i
\(297\) 14.5086 6.79087i 0.841873 0.394046i
\(298\) −1.84665 + 4.53741i −0.106973 + 0.262845i
\(299\) −0.363392 + 0.298228i −0.0210155 + 0.0172470i
\(300\) −15.3659 + 44.4866i −0.887152 + 2.56844i
\(301\) 5.32823 2.84800i 0.307114 0.164156i
\(302\) −25.8044 2.38040i −1.48488 0.136976i
\(303\) −14.7240 16.2892i −0.845870 0.935788i
\(304\) 11.1092 + 8.66600i 0.637154 + 0.497029i
\(305\) −1.67030 + 4.03246i −0.0956411 + 0.230898i
\(306\) −20.9938 + 4.25257i −1.20013 + 0.243103i
\(307\) −17.9981 5.45966i −1.02720 0.311599i −0.268670 0.963232i \(-0.586584\pi\)
−0.758534 + 0.651633i \(0.774084\pi\)
\(308\) −10.2117 + 8.59418i −0.581865 + 0.489699i
\(309\) 0.487519 + 1.95740i 0.0277340 + 0.111353i
\(310\) −0.340718 55.0662i −0.0193515 3.12755i
\(311\) 9.52248 1.89414i 0.539970 0.107407i 0.0824320 0.996597i \(-0.473731\pi\)
0.457538 + 0.889190i \(0.348731\pi\)
\(312\) −0.577773 + 0.659969i −0.0327100 + 0.0373634i
\(313\) −3.39602 + 17.0730i −0.191955 + 0.965020i 0.757910 + 0.652359i \(0.226221\pi\)
−0.949865 + 0.312661i \(0.898779\pi\)
\(314\) 4.46534 3.02378i 0.251994 0.170642i
\(315\) 15.6166 23.2369i 0.879895 1.30925i
\(316\) 6.75031 + 9.83683i 0.379735 + 0.553365i
\(317\) −20.3449 16.6967i −1.14269 0.937778i −0.144028 0.989574i \(-0.546006\pi\)
−0.998658 + 0.0517953i \(0.983506\pi\)
\(318\) −0.762651 14.1263i −0.0427673 0.792161i
\(319\) 1.59781 0.0894603
\(320\) 34.1746 4.65221i 1.91042 0.260066i
\(321\) 2.15107 + 6.03730i 0.120061 + 0.336969i
\(322\) −7.70584 2.28557i −0.429430 0.127370i
\(323\) 11.2818 13.7469i 0.627737 0.764900i
\(324\) 16.6778 + 6.77141i 0.926543 + 0.376189i
\(325\) 2.32789 0.706159i 0.129128 0.0391706i
\(326\) 10.6560 7.21586i 0.590180 0.399650i
\(327\) 0.121021 + 0.823452i 0.00669248 + 0.0455370i
\(328\) −26.4130 20.8683i −1.45842 1.15226i
\(329\) 0.884773 + 4.44806i 0.0487791 + 0.245229i
\(330\) 11.1164 + 30.5997i 0.611937 + 1.68446i
\(331\) 0.295089 2.99609i 0.0162195 0.164680i −0.983663 0.180021i \(-0.942383\pi\)
0.999882 + 0.0153412i \(0.00488344\pi\)
\(332\) 0.336629 3.91377i 0.0184749 0.214796i
\(333\) −8.85318 21.5364i −0.485151 1.18019i
\(334\) 3.67511 + 1.93525i 0.201093 + 0.105892i
\(335\) −21.0935 8.73719i −1.15246 0.477364i
\(336\) −14.8823 1.85268i −0.811898 0.101072i
\(337\) 2.55324 1.05759i 0.139084 0.0576104i −0.312056 0.950064i \(-0.601018\pi\)
0.451140 + 0.892453i \(0.351018\pi\)
\(338\) −18.2619 1.68462i −0.993317 0.0916312i
\(339\) −5.58993 5.08006i −0.303603 0.275911i
\(340\) −4.80273 43.2671i −0.260465 2.34649i
\(341\) −17.6642 21.5239i −0.956572 1.16559i
\(342\) −14.2853 + 4.38821i −0.772462 + 0.237287i
\(343\) −11.2015 + 16.7642i −0.604824 + 0.905184i
\(344\) −6.48126 + 4.50686i −0.349446 + 0.242994i
\(345\) −11.7003 + 15.7319i −0.629921 + 0.846978i
\(346\) 22.0058 + 14.5076i 1.18304 + 0.779936i
\(347\) −13.2886 7.10289i −0.713368 0.381303i 0.0744386 0.997226i \(-0.476284\pi\)
−0.787807 + 0.615922i \(0.788784\pi\)
\(348\) 1.22031 + 1.31690i 0.0654156 + 0.0705935i
\(349\) 1.79462 + 18.2211i 0.0960640 + 0.975354i 0.915536 + 0.402235i \(0.131767\pi\)
−0.819472 + 0.573119i \(0.805733\pi\)
\(350\) 32.3143 + 26.1867i 1.72727 + 1.39974i
\(351\) −0.222430 0.903371i −0.0118724 0.0482184i
\(352\) 11.9442 12.7071i 0.636631 0.677292i
\(353\) 15.4723 15.4723i 0.823508 0.823508i −0.163101 0.986609i \(-0.552150\pi\)
0.986609 + 0.163101i \(0.0521497\pi\)
\(354\) 15.5912 7.46682i 0.828664 0.396857i
\(355\) −4.78176 48.5500i −0.253789 2.57677i
\(356\) −0.263910 21.3255i −0.0139872 1.13025i
\(357\) −2.80258 + 18.7208i −0.148329 + 0.990808i
\(358\) 1.33006 + 6.47694i 0.0702957 + 0.342317i
\(359\) −9.13000 + 6.10047i −0.481863 + 0.321971i −0.772666 0.634812i \(-0.781077\pi\)
0.290803 + 0.956783i \(0.406077\pi\)
\(360\) −16.7300 + 32.5322i −0.881748 + 1.71460i
\(361\) −3.66284 + 5.48183i −0.192781 + 0.288518i
\(362\) −15.2920 + 6.44527i −0.803727 + 0.338756i
\(363\) −2.22034 1.33486i −0.116538 0.0700622i
\(364\) 0.373834 + 0.679046i 0.0195942 + 0.0355917i
\(365\) 9.39813 5.02340i 0.491920 0.262937i
\(366\) −1.26458 + 2.13322i −0.0661008 + 0.111505i
\(367\) −6.86581 + 2.84391i −0.358392 + 0.148451i −0.554612 0.832109i \(-0.687133\pi\)
0.196220 + 0.980560i \(0.437133\pi\)
\(368\) 10.3480 + 1.79336i 0.539429 + 0.0934855i
\(369\) 34.1943 10.2728i 1.78008 0.534781i
\(370\) 45.1994 14.0171i 2.34981 0.728713i
\(371\) −11.9635 3.62909i −0.621114 0.188413i
\(372\) 4.24899 30.9974i 0.220300 1.60714i
\(373\) 1.04578 10.6180i 0.0541484 0.549778i −0.929392 0.369093i \(-0.879668\pi\)
0.983541 0.180685i \(-0.0578316\pi\)
\(374\) −15.6609 15.4682i −0.809804 0.799844i
\(375\) 55.0407 32.8900i 2.84229 1.69843i
\(376\) −1.82514 5.63779i −0.0941246 0.290747i
\(377\) 0.0181037 0.0910135i 0.000932389 0.00468743i
\(378\) 10.6568 11.8094i 0.548129 0.607412i
\(379\) 23.0205 6.98318i 1.18248 0.358702i 0.362990 0.931793i \(-0.381756\pi\)
0.819492 + 0.573091i \(0.194256\pi\)
\(380\) −6.29332 29.7122i −0.322841 1.52421i
\(381\) −1.84920 + 5.14644i −0.0947374 + 0.263660i
\(382\) 14.8021 + 27.2854i 0.757342 + 1.39604i
\(383\) 0.518930 0.0265161 0.0132580 0.999912i \(-0.495780\pi\)
0.0132580 + 0.999912i \(0.495780\pi\)
\(384\) 19.5954 + 0.139421i 0.999975 + 0.00711482i
\(385\) 28.7706 1.46629
\(386\) 1.77459 + 3.27118i 0.0903242 + 0.166498i
\(387\) 0.0224213 8.37304i 0.00113974 0.425626i
\(388\) −14.1708 + 3.00151i −0.719414 + 0.152378i
\(389\) 18.7645 5.69213i 0.951395 0.288603i 0.223820 0.974630i \(-0.428147\pi\)
0.727575 + 0.686028i \(0.240647\pi\)
\(390\) 1.86895 0.286500i 0.0946380 0.0145075i
\(391\) 2.58610 13.0012i 0.130785 0.657500i
\(392\) 2.97793 5.82904i 0.150408 0.294411i
\(393\) −13.1218 21.9589i −0.661905 1.10768i
\(394\) −12.6738 12.5180i −0.638498 0.630646i
\(395\) 2.52070 25.5931i 0.126830 1.28773i
\(396\) 3.78441 + 18.1061i 0.190174 + 0.909866i
\(397\) 9.36007 + 2.83935i 0.469768 + 0.142503i 0.516289 0.856415i \(-0.327313\pi\)
−0.0465202 + 0.998917i \(0.514813\pi\)
\(398\) −10.1333 + 3.14250i −0.507937 + 0.157519i
\(399\) −0.665668 + 13.1896i −0.0333251 + 0.660307i
\(400\) −45.9209 29.0659i −2.29605 1.45329i
\(401\) −6.97309 + 2.88835i −0.348219 + 0.144237i −0.549936 0.835207i \(-0.685348\pi\)
0.201717 + 0.979444i \(0.435348\pi\)
\(402\) −11.1587 6.61492i −0.556544 0.329922i
\(403\) −1.42617 + 0.762306i −0.0710428 + 0.0379732i
\(404\) 22.2109 12.2277i 1.10503 0.608353i
\(405\) −18.1072 34.3169i −0.899752 1.70522i
\(406\) 1.46206 0.616229i 0.0725606 0.0305829i
\(407\) 13.2940 19.8958i 0.658957 0.986199i
\(408\) 0.787992 24.7213i 0.0390114 1.22389i
\(409\) 10.0573 6.72006i 0.497301 0.332286i −0.281496 0.959563i \(-0.590830\pi\)
0.778796 + 0.627277i \(0.215830\pi\)
\(410\) 14.5963 + 71.0792i 0.720859 + 3.51035i
\(411\) 32.4986 + 4.86518i 1.60304 + 0.239982i
\(412\) −2.32908 + 0.0288231i −0.114746 + 0.00142001i
\(413\) −1.49739 15.2033i −0.0736818 0.748104i
\(414\) −7.84903 + 7.90432i −0.385759 + 0.388476i
\(415\) −5.98759 + 5.98759i −0.293919 + 0.293919i
\(416\) −0.588483 0.824336i −0.0288527 0.0404164i
\(417\) −33.3168 15.8123i −1.63153 0.774332i
\(418\) −11.9312 9.66879i −0.583575 0.472916i
\(419\) −2.60866 26.4861i −0.127441 1.29393i −0.819914 0.572487i \(-0.805979\pi\)
0.692472 0.721444i \(-0.256521\pi\)
\(420\) 21.9733 + 23.7126i 1.07219 + 1.15705i
\(421\) 13.9414 + 7.45185i 0.679464 + 0.363181i 0.774749 0.632269i \(-0.217876\pi\)
−0.0952850 + 0.995450i \(0.530376\pi\)
\(422\) 28.7652 + 18.9639i 1.40027 + 0.923148i
\(423\) 6.00977 + 1.84063i 0.292205 + 0.0894946i
\(424\) 16.0779 + 2.88895i 0.780810 + 0.140300i
\(425\) −38.1099 + 57.0355i −1.84860 + 2.76663i
\(426\) 1.22581 27.6908i 0.0593907 1.34162i
\(427\) 1.39028 + 1.69406i 0.0672804 + 0.0819814i
\(428\) −7.35537 + 0.816461i −0.355535 + 0.0394651i
\(429\) 0.642998 0.707533i 0.0310442 0.0341600i
\(430\) 16.9449 + 1.56313i 0.817156 + 0.0753808i
\(431\) 34.2220 14.1752i 1.64842 0.682796i 0.651310 0.758812i \(-0.274220\pi\)
0.997107 + 0.0760154i \(0.0242198\pi\)
\(432\) −12.0326 + 16.9474i −0.578920 + 0.815384i
\(433\) −3.55980 1.47452i −0.171073 0.0708607i 0.295503 0.955342i \(-0.404513\pi\)
−0.466576 + 0.884481i \(0.654513\pi\)
\(434\) −24.4646 12.8826i −1.17434 0.618385i
\(435\) −0.184724 3.86574i −0.00885682 0.185348i
\(436\) −0.957519 0.0823574i −0.0458569 0.00394421i
\(437\) 0.906485 9.20370i 0.0433631 0.440272i
\(438\) 5.69073 2.06735i 0.271914 0.0987819i
\(439\) −0.303606 1.52633i −0.0144903 0.0728477i 0.972864 0.231380i \(-0.0743239\pi\)
−0.987354 + 0.158532i \(0.949324\pi\)
\(440\) −37.3369 + 4.37850i −1.77997 + 0.208737i
\(441\) 3.25637 + 6.13168i 0.155065 + 0.291985i
\(442\) −1.05853 + 0.716803i −0.0503494 + 0.0340949i
\(443\) −6.63794 + 2.01360i −0.315378 + 0.0956689i −0.444005 0.896024i \(-0.646443\pi\)
0.128627 + 0.991693i \(0.458943\pi\)
\(444\) 26.5511 4.23845i 1.26006 0.201148i
\(445\) −29.1650 + 35.5376i −1.38255 + 1.68465i
\(446\) −2.76754 0.820858i −0.131047 0.0388688i
\(447\) 5.65175 2.01370i 0.267319 0.0952446i
\(448\) 6.02866 16.2340i 0.284827 0.766986i
\(449\) −39.0902 −1.84478 −0.922391 0.386257i \(-0.873768\pi\)
−0.922391 + 0.386257i \(0.873768\pi\)
\(450\) 53.1777 22.2459i 2.50682 1.04868i
\(451\) 28.3622 + 23.2763i 1.33552 + 1.09604i
\(452\) 7.19152 4.93503i 0.338261 0.232124i
\(453\) 18.8721 + 25.5175i 0.886691 + 1.19892i
\(454\) −22.2313 + 15.0543i −1.04337 + 0.706531i
\(455\) 0.325981 1.63881i 0.0152822 0.0768288i
\(456\) −1.14342 17.2181i −0.0535453 0.806310i
\(457\) 24.2553 4.82468i 1.13461 0.225689i 0.408165 0.912908i \(-0.366169\pi\)
0.726450 + 0.687219i \(0.241169\pi\)
\(458\) 0.0361063 + 5.83543i 0.00168713 + 0.272672i
\(459\) 21.0086 + 15.7122i 0.980596 + 0.733383i
\(460\) −14.5774 17.3210i −0.679675 0.807597i
\(461\) 11.8945 + 3.60817i 0.553983 + 0.168049i 0.554850 0.831951i \(-0.312776\pi\)
−0.000866303 1.00000i \(0.500276\pi\)
\(462\) 16.1810 + 2.32010i 0.752808 + 0.107941i
\(463\) −8.55006 + 20.6417i −0.397355 + 0.959300i 0.590936 + 0.806718i \(0.298759\pi\)
−0.988291 + 0.152581i \(0.951241\pi\)
\(464\) −1.80359 + 1.02221i −0.0837297 + 0.0474551i
\(465\) −50.0328 + 45.2252i −2.32021 + 2.09727i
\(466\) −34.4569 3.17857i −1.59618 0.147244i
\(467\) −20.1319 + 10.7607i −0.931593 + 0.497947i −0.866080 0.499905i \(-0.833368\pi\)
−0.0655127 + 0.997852i \(0.520868\pi\)
\(468\) 1.07423 0.0104170i 0.0496562 0.000481526i
\(469\) −8.86149 + 7.27244i −0.409186 + 0.335810i
\(470\) −4.81523 + 11.8315i −0.222110 + 0.545748i
\(471\) −6.40474 1.61342i −0.295115 0.0743424i
\(472\) 4.25697 + 19.5021i 0.195943 + 0.897656i
\(473\) 7.15433 4.78037i 0.328956 0.219802i
\(474\) 3.48154 14.1906i 0.159912 0.651797i
\(475\) −22.5597 + 42.2063i −1.03511 + 1.93656i
\(476\) −20.2959 8.11408i −0.930261 0.371908i
\(477\) −12.2843 + 12.2187i −0.562458 + 0.559454i
\(478\) −22.1706 17.9665i −1.01406 0.821771i
\(479\) −8.72885 + 8.72885i −0.398831 + 0.398831i −0.877821 0.478989i \(-0.841003\pi\)
0.478989 + 0.877821i \(0.341003\pi\)
\(480\) −32.1245 27.4288i −1.46627 1.25195i
\(481\) −0.982668 0.982668i −0.0448058 0.0448058i
\(482\) 3.20125 + 30.5630i 0.145813 + 1.39211i
\(483\) 4.19696 + 8.90456i 0.190968 + 0.405172i
\(484\) 2.08897 2.14132i 0.0949531 0.0973327i
\(485\) 27.5375 + 14.7191i 1.25042 + 0.668361i
\(486\) −7.41635 20.7605i −0.336412 0.941715i
\(487\) −15.8127 23.6654i −0.716543 1.07238i −0.993756 0.111574i \(-0.964411\pi\)
0.277213 0.960808i \(-0.410589\pi\)
\(488\) −2.06204 1.98688i −0.0933443 0.0899417i
\(489\) −15.2841 3.85022i −0.691171 0.174113i
\(490\) −13.0022 + 5.48019i −0.587380 + 0.247570i
\(491\) 9.83472 + 11.9836i 0.443835 + 0.540814i 0.946089 0.323906i \(-0.104996\pi\)
−0.502255 + 0.864720i \(0.667496\pi\)
\(492\) 2.47723 + 41.1530i 0.111682 + 1.85532i
\(493\) 1.23350 + 2.30772i 0.0555540 + 0.103934i
\(494\) −0.685932 + 0.570068i −0.0308615 + 0.0256486i
\(495\) 18.8902 35.1146i 0.849051 1.57828i
\(496\) 33.7093 + 12.9952i 1.51359 + 0.583500i
\(497\) −22.6303 9.37377i −1.01511 0.420471i
\(498\) −3.85035 + 2.88466i −0.172538 + 0.129264i
\(499\) −0.375380 + 1.23746i −0.0168043 + 0.0553965i −0.964942 0.262465i \(-0.915465\pi\)
0.948137 + 0.317861i \(0.102965\pi\)
\(500\) 22.3672 + 70.5786i 1.00029 + 3.15637i
\(501\) −1.22943 4.93619i −0.0549269 0.220533i
\(502\) −0.960495 0.948682i −0.0428690 0.0423418i
\(503\) −2.05203 10.3162i −0.0914953 0.459978i −0.999186 0.0403382i \(-0.987156\pi\)
0.907691 0.419640i \(-0.137844\pi\)
\(504\) 10.4459 + 15.1082i 0.465296 + 0.672974i
\(505\) −53.6040 10.6625i −2.38535 0.474475i
\(506\) −11.2408 2.16372i −0.499715 0.0961892i
\(507\) 13.3559 + 18.0589i 0.593157 + 0.802022i
\(508\) −5.29338 3.44295i −0.234856 0.152756i
\(509\) −11.3231 + 13.7972i −0.501886 + 0.611550i −0.960906 0.276876i \(-0.910701\pi\)
0.459020 + 0.888426i \(0.348201\pi\)
\(510\) −35.6133 + 39.6781i −1.57698 + 1.75698i
\(511\) 5.35058i 0.236696i
\(512\) −5.35306 + 21.9851i −0.236574 + 0.971613i
\(513\) 15.6609 + 9.47247i 0.691444 + 0.418220i
\(514\) 6.79303 + 12.5219i 0.299628 + 0.552317i
\(515\) 3.88127 + 3.18528i 0.171029 + 0.140360i
\(516\) 9.40399 + 2.24559i 0.413988 + 0.0988564i
\(517\) 1.87495 + 6.18088i 0.0824602 + 0.271835i
\(518\) 4.49123 23.3325i 0.197333 1.02517i
\(519\) −4.69391 31.9383i −0.206040 1.40194i
\(520\) −0.173634 + 2.17637i −0.00761435 + 0.0954402i
\(521\) 14.4102 2.86636i 0.631321 0.125577i 0.130950 0.991389i \(-0.458197\pi\)
0.500370 + 0.865811i \(0.333197\pi\)
\(522\) 0.207847 2.18904i 0.00909723 0.0958117i
\(523\) −15.7471 1.55095i −0.688572 0.0678184i −0.252321 0.967644i \(-0.581194\pi\)
−0.436251 + 0.899825i \(0.643694\pi\)
\(524\) 28.1579 8.92358i 1.23009 0.389829i
\(525\) −2.43141 50.8825i −0.106115 2.22069i
\(526\) 25.5372 7.91949i 1.11347 0.345306i
\(527\) 17.4503 42.1288i 0.760147 1.83516i
\(528\) −21.3519 0.548371i −0.929222 0.0238648i
\(529\) 6.16364 + 14.8803i 0.267984 + 0.646971i
\(530\) −22.5067 27.0810i −0.977628 1.17633i
\(531\) −19.5387 8.15458i −0.847909 0.353879i
\(532\) −14.6465 4.24577i −0.635005 0.184077i
\(533\) 1.64720 1.35182i 0.0713482 0.0585539i
\(534\) −19.2686 + 17.6350i −0.833834 + 0.763139i
\(535\) 13.2642 + 8.86285i 0.573461 + 0.383174i
\(536\) 10.3932 10.7864i 0.448917 0.465900i
\(537\) 4.83276 6.49802i 0.208549 0.280410i
\(538\) −4.88431 23.7850i −0.210577 1.02544i
\(539\) −3.36321 + 6.29213i −0.144864 + 0.271021i
\(540\) 43.3684 11.2492i 1.86628 0.484090i
\(541\) 7.70270 0.758649i 0.331165 0.0326169i 0.0689315 0.997621i \(-0.478041\pi\)
0.262233 + 0.965005i \(0.415541\pi\)
\(542\) −4.56584 + 0.478238i −0.196119 + 0.0205421i
\(543\) 18.3613 + 8.71436i 0.787960 + 0.373969i
\(544\) 27.5738 + 7.44124i 1.18221 + 0.319040i
\(545\) 1.46489 + 1.46489i 0.0627488 + 0.0627488i
\(546\) 0.315492 0.895404i 0.0135018 0.0383198i
\(547\) 29.2835 2.88417i 1.25207 0.123318i 0.549842 0.835268i \(-0.314688\pi\)
0.702230 + 0.711950i \(0.252188\pi\)
\(548\) −14.0857 + 35.2329i −0.601713 + 1.50508i
\(549\) 2.98043 0.584552i 0.127202 0.0249481i
\(550\) 49.4557 + 32.6045i 2.10880 + 1.39026i
\(551\) 1.01424 + 1.51791i 0.0432080 + 0.0646653i
\(552\) −6.80174 10.9171i −0.289501 0.464664i
\(553\) −10.7363 7.17376i −0.456554 0.305059i
\(554\) 25.4227 + 10.3466i 1.08011 + 0.439586i
\(555\) −49.6728 29.8632i −2.10849 1.26762i
\(556\) 26.6055 33.2495i 1.12832 1.41009i
\(557\) −12.4532 23.2983i −0.527658 0.987179i −0.994688 0.102938i \(-0.967176\pi\)
0.467029 0.884242i \(-0.345324\pi\)
\(558\) −31.7861 + 21.4006i −1.34561 + 0.905958i
\(559\) −0.191235 0.461683i −0.00808840 0.0195271i
\(560\) −32.4760 + 18.4063i −1.37236 + 0.777806i
\(561\) −1.35887 + 26.9248i −0.0573716 + 1.13677i
\(562\) 2.44728 + 1.28869i 0.103232 + 0.0543602i
\(563\) −10.5515 + 34.7837i −0.444693 + 1.46596i 0.392858 + 0.919599i \(0.371486\pi\)
−0.837551 + 0.546358i \(0.816014\pi\)
\(564\) −3.66226 + 6.26590i −0.154209 + 0.263842i
\(565\) −18.7106 1.84284i −0.787162 0.0775287i
\(566\) −12.9651 + 0.0802203i −0.544962 + 0.00337191i
\(567\) −19.4817 0.104337i −0.818153 0.00438174i
\(568\) 30.7949 + 8.72074i 1.29213 + 0.365914i
\(569\) 16.5698 + 3.29594i 0.694642 + 0.138173i 0.529769 0.848142i \(-0.322279\pi\)
0.164873 + 0.986315i \(0.447279\pi\)
\(570\) −22.0133 + 29.9842i −0.922034 + 1.25590i
\(571\) 10.6158 + 34.9955i 0.444256 + 1.46452i 0.838190 + 0.545378i \(0.183614\pi\)
−0.393934 + 0.919139i \(0.628886\pi\)
\(572\) 0.624640 + 0.910251i 0.0261175 + 0.0380595i
\(573\) 12.8559 35.7787i 0.537063 1.49468i
\(574\) 34.9295 + 10.3602i 1.45793 + 0.432425i
\(575\) 35.6728i 1.48766i
\(576\) −15.8553 18.0169i −0.660639 0.750704i
\(577\) 43.4199i 1.80759i 0.427962 + 0.903797i \(0.359232\pi\)
−0.427962 + 0.903797i \(0.640768\pi\)
\(578\) 3.41424 11.5112i 0.142014 0.478802i
\(579\) 1.54126 4.28942i 0.0640526 0.178262i
\(580\) 4.39345 + 0.817529i 0.182428 + 0.0339460i
\(581\) 1.23419 + 4.06856i 0.0512026 + 0.168792i
\(582\) 14.3005 + 10.4989i 0.592776 + 0.435193i
\(583\) −17.4629 3.47359i −0.723239 0.143861i
\(584\) 0.814285 + 6.94368i 0.0336954 + 0.287332i
\(585\) −1.78614 1.47387i −0.0738478 0.0609370i
\(586\) 0.0171030 + 2.76415i 0.000706518 + 0.114186i
\(587\) −11.2923 1.11219i −0.466082 0.0459050i −0.137749 0.990467i \(-0.543987\pi\)
−0.328333 + 0.944562i \(0.606487\pi\)
\(588\) −7.75455 + 2.03362i −0.319792 + 0.0838649i
\(589\) 9.23498 30.4436i 0.380521 1.25441i
\(590\) 20.0485 38.0728i 0.825382 1.56743i
\(591\) −1.09969 + 21.7894i −0.0452353 + 0.896297i
\(592\) −2.27757 + 30.9631i −0.0936077 + 1.27258i
\(593\) 3.88416 + 9.37720i 0.159503 + 0.385075i 0.983346 0.181743i \(-0.0581740\pi\)
−0.823843 + 0.566819i \(0.808174\pi\)
\(594\) 13.4558 18.2256i 0.552097 0.747804i
\(595\) 22.2107 + 41.5534i 0.910552 + 1.70352i
\(596\) 0.764321 + 6.88565i 0.0313078 + 0.282047i
\(597\) 11.1362 + 6.69506i 0.455774 + 0.274011i
\(598\) −0.250611 + 0.615777i −0.0102482 + 0.0251810i
\(599\) −35.7244 23.8703i −1.45966 0.975315i −0.996005 0.0892996i \(-0.971537\pi\)
−0.463657 0.886015i \(-0.653463\pi\)
\(600\) 10.8990 + 65.6624i 0.444949 + 2.68066i
\(601\) 7.36607 + 11.0241i 0.300468 + 0.449683i 0.950727 0.310031i \(-0.100339\pi\)
−0.650258 + 0.759713i \(0.725339\pi\)
\(602\) 4.70282 7.13343i 0.191673 0.290737i
\(603\) 3.05774 + 15.5904i 0.124521 + 0.634889i
\(604\) −33.6821 + 14.4424i −1.37050 + 0.587654i
\(605\) −6.41745 + 0.632064i −0.260906 + 0.0256970i
\(606\) −29.2878 10.3194i −1.18973 0.419198i
\(607\) −14.1946 14.1946i −0.576140 0.576140i 0.357698 0.933837i \(-0.383562\pi\)
−0.933837 + 0.357698i \(0.883562\pi\)
\(608\) 19.6535 + 3.28092i 0.797056 + 0.133059i
\(609\) −1.75552 0.833176i −0.0711371 0.0337620i
\(610\) 0.643019 + 6.13904i 0.0260351 + 0.248562i
\(611\) 0.373315 0.0367683i 0.0151027 0.00148749i
\(612\) −23.2291 + 19.4436i −0.938980 + 0.785961i
\(613\) −1.07831 + 2.01738i −0.0435527 + 0.0814813i −0.902756 0.430153i \(-0.858460\pi\)
0.859203 + 0.511634i \(0.170960\pi\)
\(614\) −26.0548 + 5.35041i −1.05148 + 0.215925i
\(615\) 53.0356 71.3105i 2.13860 2.87551i
\(616\) −6.89835 + 17.5696i −0.277942 + 0.707898i
\(617\) 24.5516 + 16.4049i 0.988412 + 0.660436i 0.940988 0.338439i \(-0.109899\pi\)
0.0474235 + 0.998875i \(0.484899\pi\)
\(618\) 1.92602 + 2.10443i 0.0774757 + 0.0846528i
\(619\) −9.95525 + 8.17006i −0.400135 + 0.328383i −0.812845 0.582480i \(-0.802082\pi\)
0.412710 + 0.910863i \(0.364582\pi\)
\(620\) −37.5580 68.2217i −1.50836 2.73985i
\(621\) 13.6236 + 0.724152i 0.546698 + 0.0290592i
\(622\) 10.5598 8.77614i 0.423411 0.351891i
\(623\) 8.83349 + 21.3259i 0.353906 + 0.854405i
\(624\) −0.273160 + 1.21002i −0.0109351 + 0.0484395i
\(625\) 35.0783 84.6866i 1.40313 3.38746i
\(626\) 7.29180 + 23.5131i 0.291439 + 0.939774i
\(627\) 0.897736 + 18.7871i 0.0358521 + 0.750283i
\(628\) 3.51165 6.77003i 0.140130 0.270154i
\(629\) 38.9983 + 3.84100i 1.55497 + 0.153151i
\(630\) 3.74256 39.4165i 0.149107 1.57039i
\(631\) −19.1060 + 3.80042i −0.760599 + 0.151292i −0.560127 0.828407i \(-0.689248\pi\)
−0.200472 + 0.979699i \(0.564248\pi\)
\(632\) 15.0247 + 7.67579i 0.597651 + 0.305327i
\(633\) −6.13571 41.7487i −0.243873 1.65936i
\(634\) −36.5499 7.03542i −1.45158 0.279412i
\(635\) 3.95129 + 13.0257i 0.156802 + 0.516907i
\(636\) −10.4742 17.0457i −0.415330 0.675906i
\(637\) 0.320302 + 0.262865i 0.0126908 + 0.0104151i
\(638\) 1.98620 1.07750i 0.0786345 0.0426586i
\(639\) −26.2992 + 21.4656i −1.04038 + 0.849167i
\(640\) 39.3444 28.8290i 1.55522 1.13957i
\(641\) 12.5902i 0.497284i 0.968596 + 0.248642i \(0.0799842\pi\)
−0.968596 + 0.248642i \(0.920016\pi\)
\(642\) 6.74525 + 6.05423i 0.266214 + 0.238941i
\(643\) 4.30055 5.24024i 0.169597 0.206655i −0.681275 0.732028i \(-0.738574\pi\)
0.850872 + 0.525373i \(0.176074\pi\)
\(644\) −11.1202 + 2.35537i −0.438199 + 0.0928145i
\(645\) −12.3927 16.7565i −0.487963 0.659787i
\(646\) 4.75378 24.6965i 0.187035 0.971670i
\(647\) −33.5545 6.67440i −1.31916 0.262398i −0.515196 0.857072i \(-0.672281\pi\)
−0.803966 + 0.594675i \(0.797281\pi\)
\(648\) 25.2981 2.82944i 0.993804 0.111151i
\(649\) −4.24461 21.3391i −0.166616 0.837634i
\(650\) 2.41754 2.44765i 0.0948239 0.0960046i
\(651\) 8.18410 + 32.8594i 0.320760 + 1.28786i
\(652\) 8.38011 16.1558i 0.328190 0.632711i
\(653\) −8.43174 + 27.7957i −0.329960 + 1.08773i 0.622386 + 0.782710i \(0.286163\pi\)
−0.952346 + 0.305021i \(0.901337\pi\)
\(654\) 0.705742 + 0.942002i 0.0275967 + 0.0368352i
\(655\) −58.8259 24.3665i −2.29852 0.952078i
\(656\) −46.9062 8.12906i −1.83138 0.317386i
\(657\) −6.53038 3.51307i −0.254774 0.137058i
\(658\) 4.09943 + 4.93262i 0.159812 + 0.192293i
\(659\) 5.16311 + 9.65950i 0.201126 + 0.376281i 0.962183 0.272405i \(-0.0878190\pi\)
−0.761056 + 0.648686i \(0.775319\pi\)
\(660\) 34.4537 + 30.5413i 1.34111 + 1.18882i
\(661\) 25.8034 + 31.4416i 1.00364 + 1.22294i 0.974737 + 0.223354i \(0.0717006\pi\)
0.0289005 + 0.999582i \(0.490799\pi\)
\(662\) −1.65362 3.92336i −0.0642699 0.152486i
\(663\) 1.51828 + 0.382470i 0.0589651 + 0.0148539i
\(664\) −2.22084 5.09213i −0.0861852 0.197613i
\(665\) 18.2627 + 27.3320i 0.708195 + 1.05989i
\(666\) −25.5285 20.8012i −0.989208 0.806028i
\(667\) 1.20011 + 0.641471i 0.0464684 + 0.0248379i
\(668\) 5.87350 0.0726864i 0.227253 0.00281232i
\(669\) 1.50733 + 3.19805i 0.0582767 + 0.123644i
\(670\) −32.1128 + 3.36358i −1.24063 + 0.129946i
\(671\) 2.20698 + 2.20698i 0.0851994 + 0.0851994i
\(672\) −19.7493 + 7.73302i −0.761844 + 0.298308i
\(673\) −1.84742 + 1.84742i −0.0712127 + 0.0712127i −0.741816 0.670603i \(-0.766035\pi\)
0.670603 + 0.741816i \(0.266035\pi\)
\(674\) 2.46068 3.03646i 0.0947817 0.116960i
\(675\) −63.6984 30.4408i −2.45175 1.17167i
\(676\) −23.8370 + 10.2210i −0.916807 + 0.393115i
\(677\) 5.91079 11.0583i 0.227170 0.425005i −0.742352 0.670010i \(-0.766290\pi\)
0.969522 + 0.245005i \(0.0787896\pi\)
\(678\) −10.3745 2.54528i −0.398430 0.0977511i
\(679\) 13.0356 8.71011i 0.500260 0.334263i
\(680\) −35.1477 50.5455i −1.34785 1.93833i
\(681\) 31.8868 + 8.03261i 1.22190 + 0.307810i
\(682\) −36.4729 14.8438i −1.39662 0.568400i
\(683\) −13.4263 + 11.0186i −0.513741 + 0.421617i −0.855214 0.518275i \(-0.826574\pi\)
0.341473 + 0.939892i \(0.389074\pi\)
\(684\) −14.7985 + 15.0883i −0.565835 + 0.576917i
\(685\) 72.1351 38.5570i 2.75614 1.47319i
\(686\) −2.61920 + 28.3931i −0.100001 + 1.08405i
\(687\) 5.30204 4.79257i 0.202285 0.182848i
\(688\) −5.01745 + 9.97307i −0.191289 + 0.380220i
\(689\) −0.395720 + 0.955353i −0.0150757 + 0.0363961i
\(690\) −3.93535 + 27.4462i −0.149816 + 1.04486i
\(691\) −24.3752 7.39412i −0.927275 0.281286i −0.209699 0.977766i \(-0.567248\pi\)
−0.717576 + 0.696480i \(0.754748\pi\)
\(692\) 37.1382 + 3.19430i 1.41178 + 0.121429i
\(693\) −11.0781 16.6760i −0.420821 0.633468i
\(694\) −21.3086 + 0.131845i −0.808864 + 0.00500479i
\(695\) −90.0305 + 17.9082i −3.41505 + 0.679296i
\(696\) 2.40501 + 0.814083i 0.0911617 + 0.0308577i
\(697\) −11.7224 + 58.9326i −0.444019 + 2.23223i
\(698\) 14.5184 + 21.4400i 0.549531 + 0.811516i
\(699\) 25.2002 + 34.0738i 0.953158 + 1.28879i
\(700\) 57.8284 + 10.7607i 2.18571 + 0.406714i
\(701\) 6.70476 + 5.50246i 0.253235 + 0.207825i 0.752443 0.658658i \(-0.228875\pi\)
−0.499207 + 0.866483i \(0.666375\pi\)
\(702\) −0.885695 0.972961i −0.0334284 0.0367220i
\(703\) 27.3395 1.03113
\(704\) 6.27844 23.8506i 0.236628 0.898905i
\(705\) 14.7372 5.25082i 0.555036 0.197757i
\(706\) 8.79936 29.6672i 0.331168 1.11654i
\(707\) −17.4089 + 21.2128i −0.654728 + 0.797789i
\(708\) 14.3458 19.7959i 0.539147 0.743976i
\(709\) −18.1900 + 5.51788i −0.683140 + 0.207228i −0.612733 0.790290i \(-0.709930\pi\)
−0.0704071 + 0.997518i \(0.522430\pi\)
\(710\) −38.6843 57.1267i −1.45179 2.14393i
\(711\) −15.8048 + 8.39350i −0.592726 + 0.314781i
\(712\) −14.7091 26.3313i −0.551248 0.986806i
\(713\) −4.62634 23.2582i −0.173258 0.871025i
\(714\) 9.14071 + 25.1613i 0.342082 + 0.941638i
\(715\) 0.233253 2.36826i 0.00872316 0.0885678i
\(716\) 6.02115 + 7.15440i 0.225021 + 0.267372i
\(717\) 1.66817 + 34.9101i 0.0622991 + 1.30374i
\(718\) −7.23538 + 13.7403i −0.270022 + 0.512782i
\(719\) 20.5669 + 8.51907i 0.767014 + 0.317708i 0.731662 0.681667i \(-0.238745\pi\)
0.0353519 + 0.999375i \(0.488745\pi\)
\(720\) 1.14177 + 51.7221i 0.0425514 + 1.92757i
\(721\) 2.32913 0.964756i 0.0867412 0.0359294i
\(722\) −0.856466 + 9.28441i −0.0318744 + 0.345530i
\(723\) 25.3126 27.8531i 0.941385 1.03587i
\(724\) −14.6626 + 18.3242i −0.544933 + 0.681015i
\(725\) −4.46723 5.44333i −0.165909 0.202160i
\(726\) −3.66023 0.162030i −0.135844 0.00601352i
\(727\) 18.1560 27.1724i 0.673371 1.00777i −0.324708 0.945814i \(-0.605266\pi\)
0.998079 0.0619561i \(-0.0197339\pi\)
\(728\) 0.922626 + 0.592008i 0.0341948 + 0.0219413i
\(729\) −12.9186 + 23.7089i −0.478466 + 0.878106i
\(730\) 8.29501 12.5822i 0.307012 0.465688i
\(731\) 12.4274 + 6.64257i 0.459643 + 0.245684i
\(732\) −0.133417 + 3.50453i −0.00493125 + 0.129531i
\(733\) −0.461305 4.68371i −0.0170387 0.172997i 0.982899 0.184145i \(-0.0589515\pi\)
−0.999938 + 0.0111478i \(0.996451\pi\)
\(734\) −6.61691 + 8.16523i −0.244234 + 0.301384i
\(735\) 15.6120 + 7.40951i 0.575857 + 0.273304i
\(736\) 14.0728 4.74902i 0.518730 0.175051i
\(737\) −11.5445 + 11.5445i −0.425248 + 0.425248i
\(738\) 35.5785 35.8291i 1.30966 1.31889i
\(739\) 3.33707 + 33.8819i 0.122756 + 1.24636i 0.837288 + 0.546762i \(0.184140\pi\)
−0.714532 + 0.699603i \(0.753360\pi\)
\(740\) 46.7338 47.9050i 1.71797 1.76102i
\(741\) 1.08031 + 0.161727i 0.0396861 + 0.00594119i
\(742\) −17.3189 + 3.55647i −0.635795 + 0.130562i
\(743\) 1.81672 1.21389i 0.0666490 0.0445335i −0.521799 0.853068i \(-0.674739\pi\)
0.588448 + 0.808535i \(0.299739\pi\)
\(744\) −15.6216 41.3975i −0.572716 1.51771i
\(745\) 8.29686 12.4171i 0.303973 0.454928i
\(746\) −5.86036 13.9042i −0.214563 0.509069i
\(747\) 5.77602 + 1.16501i 0.211333 + 0.0426255i
\(748\) −29.8988 8.66716i −1.09321 0.316903i
\(749\) 7.06404 3.77581i 0.258115 0.137965i
\(750\) 46.2400 78.0020i 1.68845 2.84823i
\(751\) 41.4728 17.1786i 1.51336 0.626855i 0.537114 0.843509i \(-0.319514\pi\)
0.976248 + 0.216654i \(0.0695144\pi\)
\(752\) −6.07069 5.77740i −0.221375 0.210680i
\(753\) −0.0833409 + 1.65133i −0.00303711 + 0.0601777i
\(754\) −0.0388716 0.125345i −0.00141562 0.00456480i
\(755\) 75.5969 + 22.9321i 2.75125 + 0.834584i
\(756\) 5.28346 21.8666i 0.192158 0.795279i
\(757\) −3.86297 + 39.2214i −0.140402 + 1.42553i 0.624321 + 0.781168i \(0.285376\pi\)
−0.764723 + 0.644359i \(0.777124\pi\)
\(758\) 23.9070 24.2047i 0.868342 0.879155i
\(759\) 7.19154 + 12.0349i 0.261036 + 0.436838i
\(760\) −27.8598 32.6906i −1.01058 1.18581i
\(761\) 1.46957 7.38803i 0.0532719 0.267816i −0.944965 0.327171i \(-0.893905\pi\)
0.998237 + 0.0593555i \(0.0189046\pi\)
\(762\) 1.17185 + 7.64444i 0.0424517 + 0.276929i
\(763\) 0.995389 0.301948i 0.0360355 0.0109313i
\(764\) 36.8003 + 23.9359i 1.33139 + 0.865969i
\(765\) 65.2990 + 0.174858i 2.36089 + 0.00632199i
\(766\) 0.645069 0.349945i 0.0233073 0.0126440i
\(767\) −1.26360 −0.0456259
\(768\) 24.4526 13.0411i 0.882358 0.470579i
\(769\) −36.9627 −1.33291 −0.666454 0.745546i \(-0.732189\pi\)
−0.666454 + 0.745546i \(0.732189\pi\)
\(770\) 35.7641 19.4018i 1.28885 0.699191i
\(771\) 5.89987 16.4197i 0.212478 0.591340i
\(772\) 4.41190 + 2.86961i 0.158788 + 0.103280i
\(773\) 43.9323