Properties

Label 32.3.h.a.3.1
Level $32$
Weight $3$
Character 32.3
Analytic conductor $0.872$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 32 = 2^{5} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 32.h (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.871936845953\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 3.1
Character \(\chi\) \(=\) 32.3
Dual form 32.3.h.a.11.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.96275 - 0.384217i) q^{2} +(-1.10785 + 2.67458i) q^{3} +(3.70475 + 1.50824i) q^{4} +(2.95565 + 7.13556i) q^{5} +(3.20204 - 4.82387i) q^{6} +(-4.18452 - 4.18452i) q^{7} +(-6.69200 - 4.38373i) q^{8} +(0.437918 + 0.437918i) q^{9} +O(q^{10})\) \(q+(-1.96275 - 0.384217i) q^{2} +(-1.10785 + 2.67458i) q^{3} +(3.70475 + 1.50824i) q^{4} +(2.95565 + 7.13556i) q^{5} +(3.20204 - 4.82387i) q^{6} +(-4.18452 - 4.18452i) q^{7} +(-6.69200 - 4.38373i) q^{8} +(0.437918 + 0.437918i) q^{9} +(-3.05958 - 15.1409i) q^{10} +(1.42655 + 3.44399i) q^{11} +(-8.13821 + 8.23775i) q^{12} +(8.39996 - 20.2793i) q^{13} +(6.60538 + 9.82091i) q^{14} -22.3590 q^{15} +(11.4504 + 11.1753i) q^{16} +1.73115i q^{17} +(-0.691266 - 1.02778i) q^{18} +(14.2459 + 5.90085i) q^{19} +(0.187785 + 30.8933i) q^{20} +(15.8276 - 6.55601i) q^{21} +(-1.47671 - 7.30779i) q^{22} +(15.1565 - 15.1565i) q^{23} +(19.1383 - 13.0418i) q^{24} +(-24.5027 + 24.5027i) q^{25} +(-24.2787 + 36.5757i) q^{26} +(-25.7276 + 10.6567i) q^{27} +(-9.19134 - 21.8139i) q^{28} +(-6.74107 - 2.79224i) q^{29} +(43.8851 + 8.59072i) q^{30} -31.1695i q^{31} +(-18.1805 - 26.3338i) q^{32} -10.7916 q^{33} +(0.665136 - 3.39780i) q^{34} +(17.4909 - 42.2268i) q^{35} +(0.961891 + 2.28286i) q^{36} +(5.30038 + 12.7962i) q^{37} +(-25.6939 - 17.0554i) q^{38} +(44.9327 + 44.9327i) q^{39} +(11.5012 - 60.7079i) q^{40} +(-18.5776 - 18.5776i) q^{41} +(-33.5845 + 6.78655i) q^{42} +(31.0691 + 75.0074i) q^{43} +(0.0906349 + 14.9107i) q^{44} +(-1.83046 + 4.41911i) q^{45} +(-35.5718 + 23.9250i) q^{46} -16.2824 q^{47} +(-42.5746 + 18.2445i) q^{48} -13.9797i q^{49} +(57.5069 - 38.6782i) q^{50} +(-4.63009 - 1.91784i) q^{51} +(61.7059 - 62.4607i) q^{52} +(-29.0670 + 12.0399i) q^{53} +(54.5913 - 11.0315i) q^{54} +(-20.3584 + 20.3584i) q^{55} +(9.65901 + 46.3466i) q^{56} +(-31.5646 + 31.5646i) q^{57} +(12.1582 + 8.07050i) q^{58} +(34.1002 - 14.1248i) q^{59} +(-82.8346 - 33.7228i) q^{60} +(-68.7647 - 28.4833i) q^{61} +(-11.9758 + 61.1778i) q^{62} -3.66495i q^{63} +(25.5658 + 58.6719i) q^{64} +169.531 q^{65} +(21.1812 + 4.14633i) q^{66} +(10.5147 - 25.3846i) q^{67} +(-2.61099 + 6.41347i) q^{68} +(23.7462 + 57.3284i) q^{69} +(-50.5545 + 76.1602i) q^{70} +(-32.2012 - 32.2012i) q^{71} +(-1.01083 - 4.85026i) q^{72} +(-28.5494 - 28.5494i) q^{73} +(-5.48676 - 27.1523i) q^{74} +(-38.3891 - 92.6796i) q^{75} +(43.8777 + 43.3475i) q^{76} +(8.44203 - 20.3809i) q^{77} +(-70.9276 - 105.455i) q^{78} +22.4049 q^{79} +(-45.8989 + 114.735i) q^{80} -75.0427i q^{81} +(29.3252 + 43.6009i) q^{82} +(-123.286 - 51.0669i) q^{83} +(68.5255 - 0.416532i) q^{84} +(-12.3527 + 5.11665i) q^{85} +(-32.1616 - 159.158i) q^{86} +(14.9361 - 14.9361i) q^{87} +(5.55106 - 29.3008i) q^{88} +(61.0281 - 61.0281i) q^{89} +(5.29063 - 7.97031i) q^{90} +(-120.009 + 49.7093i) q^{91} +(79.0109 - 33.2915i) q^{92} +(83.3652 + 34.5310i) q^{93} +(31.9583 + 6.25599i) q^{94} +119.093i q^{95} +(90.5730 - 19.4514i) q^{96} -69.9064 q^{97} +(-5.37122 + 27.4385i) q^{98} +(-0.883474 + 2.13290i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 4q^{2} - 4q^{3} - 4q^{4} - 4q^{5} - 4q^{6} - 4q^{7} - 4q^{8} - 4q^{9} + O(q^{10}) \) \( 28q - 4q^{2} - 4q^{3} - 4q^{4} - 4q^{5} - 4q^{6} - 4q^{7} - 4q^{8} - 4q^{9} - 44q^{10} - 4q^{11} - 52q^{12} - 4q^{13} - 20q^{14} - 8q^{15} + 16q^{16} + 56q^{18} - 4q^{19} + 76q^{20} - 4q^{21} + 144q^{22} - 68q^{23} + 208q^{24} - 4q^{25} + 96q^{26} - 100q^{27} + 56q^{28} - 4q^{29} + 20q^{30} - 24q^{32} - 8q^{33} - 48q^{34} + 92q^{35} - 336q^{36} - 4q^{37} - 396q^{38} + 188q^{39} - 408q^{40} - 4q^{41} - 424q^{42} + 92q^{43} - 188q^{44} - 40q^{45} - 36q^{46} - 8q^{47} + 48q^{48} + 308q^{50} + 224q^{51} + 420q^{52} - 164q^{53} + 592q^{54} + 252q^{55} + 552q^{56} - 4q^{57} + 528q^{58} + 124q^{59} + 440q^{60} - 68q^{61} + 216q^{62} - 232q^{64} - 8q^{65} - 580q^{66} - 164q^{67} - 368q^{68} + 188q^{69} - 664q^{70} - 260q^{71} - 748q^{72} - 4q^{73} - 532q^{74} - 488q^{75} - 516q^{76} + 220q^{77} - 236q^{78} - 520q^{79} + 312q^{80} + 636q^{82} - 484q^{83} + 992q^{84} + 96q^{85} + 688q^{86} - 452q^{87} + 672q^{88} - 4q^{89} + 872q^{90} - 196q^{91} + 616q^{92} + 32q^{93} + 40q^{94} - 128q^{96} - 8q^{97} - 328q^{98} + 216q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/32\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(31\)
\(\chi(n)\) \(e\left(\frac{3}{8}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.96275 0.384217i −0.981374 0.192109i
\(3\) −1.10785 + 2.67458i −0.369282 + 0.891526i 0.624586 + 0.780956i \(0.285268\pi\)
−0.993868 + 0.110570i \(0.964732\pi\)
\(4\) 3.70475 + 1.50824i 0.926189 + 0.377061i
\(5\) 2.95565 + 7.13556i 0.591129 + 1.42711i 0.882413 + 0.470475i \(0.155917\pi\)
−0.291284 + 0.956637i \(0.594083\pi\)
\(6\) 3.20204 4.82387i 0.533674 0.803978i
\(7\) −4.18452 4.18452i −0.597788 0.597788i 0.341935 0.939723i \(-0.388918\pi\)
−0.939723 + 0.341935i \(0.888918\pi\)
\(8\) −6.69200 4.38373i −0.836500 0.547966i
\(9\) 0.437918 + 0.437918i 0.0486575 + 0.0486575i
\(10\) −3.05958 15.1409i −0.305958 1.51409i
\(11\) 1.42655 + 3.44399i 0.129686 + 0.313090i 0.975363 0.220605i \(-0.0708031\pi\)
−0.845677 + 0.533695i \(0.820803\pi\)
\(12\) −8.13821 + 8.23775i −0.678184 + 0.686479i
\(13\) 8.39996 20.2793i 0.646151 1.55995i −0.172096 0.985080i \(-0.555054\pi\)
0.818247 0.574866i \(-0.194946\pi\)
\(14\) 6.60538 + 9.82091i 0.471813 + 0.701494i
\(15\) −22.3590 −1.49060
\(16\) 11.4504 + 11.1753i 0.715651 + 0.698459i
\(17\) 1.73115i 0.101832i 0.998703 + 0.0509161i \(0.0162141\pi\)
−0.998703 + 0.0509161i \(0.983786\pi\)
\(18\) −0.691266 1.02778i −0.0384037 0.0570987i
\(19\) 14.2459 + 5.90085i 0.749785 + 0.310571i 0.724654 0.689113i \(-0.242000\pi\)
0.0251314 + 0.999684i \(0.492000\pi\)
\(20\) 0.187785 + 30.8933i 0.00938926 + 1.54467i
\(21\) 15.8276 6.55601i 0.753696 0.312191i
\(22\) −1.47671 7.30779i −0.0671233 0.332172i
\(23\) 15.1565 15.1565i 0.658979 0.658979i −0.296159 0.955139i \(-0.595706\pi\)
0.955139 + 0.296159i \(0.0957059\pi\)
\(24\) 19.1383 13.0418i 0.797431 0.543408i
\(25\) −24.5027 + 24.5027i −0.980107 + 0.980107i
\(26\) −24.2787 + 36.5757i −0.933795 + 1.40676i
\(27\) −25.7276 + 10.6567i −0.952874 + 0.394693i
\(28\) −9.19134 21.8139i −0.328262 0.779067i
\(29\) −6.74107 2.79224i −0.232451 0.0962842i 0.263418 0.964682i \(-0.415150\pi\)
−0.495869 + 0.868398i \(0.665150\pi\)
\(30\) 43.8851 + 8.59072i 1.46284 + 0.286357i
\(31\) 31.1695i 1.00547i −0.864442 0.502733i \(-0.832328\pi\)
0.864442 0.502733i \(-0.167672\pi\)
\(32\) −18.1805 26.3338i −0.568141 0.822931i
\(33\) −10.7916 −0.327019
\(34\) 0.665136 3.39780i 0.0195628 0.0999354i
\(35\) 17.4909 42.2268i 0.499740 1.20648i
\(36\) 0.961891 + 2.28286i 0.0267192 + 0.0634129i
\(37\) 5.30038 + 12.7962i 0.143253 + 0.345844i 0.979179 0.202998i \(-0.0650686\pi\)
−0.835926 + 0.548843i \(0.815069\pi\)
\(38\) −25.6939 17.0554i −0.676156 0.448827i
\(39\) 44.9327 + 44.9327i 1.15212 + 1.15212i
\(40\) 11.5012 60.7079i 0.287529 1.51770i
\(41\) −18.5776 18.5776i −0.453111 0.453111i 0.443275 0.896386i \(-0.353817\pi\)
−0.896386 + 0.443275i \(0.853817\pi\)
\(42\) −33.5845 + 6.78655i −0.799632 + 0.161585i
\(43\) 31.0691 + 75.0074i 0.722537 + 1.74436i 0.665993 + 0.745958i \(0.268008\pi\)
0.0565443 + 0.998400i \(0.481992\pi\)
\(44\) 0.0906349 + 14.9107i 0.00205988 + 0.338880i
\(45\) −1.83046 + 4.41911i −0.0406768 + 0.0982026i
\(46\) −35.5718 + 23.9250i −0.773301 + 0.520109i
\(47\) −16.2824 −0.346435 −0.173217 0.984884i \(-0.555416\pi\)
−0.173217 + 0.984884i \(0.555416\pi\)
\(48\) −42.5746 + 18.2445i −0.886971 + 0.380093i
\(49\) 13.9797i 0.285299i
\(50\) 57.5069 38.6782i 1.15014 0.773565i
\(51\) −4.63009 1.91784i −0.0907860 0.0376048i
\(52\) 61.7059 62.4607i 1.18665 1.20117i
\(53\) −29.0670 + 12.0399i −0.548434 + 0.227169i −0.639655 0.768662i \(-0.720923\pi\)
0.0912216 + 0.995831i \(0.470923\pi\)
\(54\) 54.5913 11.0315i 1.01095 0.204286i
\(55\) −20.3584 + 20.3584i −0.370153 + 0.370153i
\(56\) 9.65901 + 46.3466i 0.172482 + 0.827618i
\(57\) −31.5646 + 31.5646i −0.553765 + 0.553765i
\(58\) 12.1582 + 8.07050i 0.209624 + 0.139147i
\(59\) 34.1002 14.1248i 0.577969 0.239403i −0.0744962 0.997221i \(-0.523735\pi\)
0.652465 + 0.757819i \(0.273735\pi\)
\(60\) −82.8346 33.7228i −1.38058 0.562047i
\(61\) −68.7647 28.4833i −1.12729 0.466939i −0.260432 0.965492i \(-0.583865\pi\)
−0.866859 + 0.498553i \(0.833865\pi\)
\(62\) −11.9758 + 61.1778i −0.193159 + 0.986739i
\(63\) 3.66495i 0.0581737i
\(64\) 25.5658 + 58.6719i 0.399466 + 0.916748i
\(65\) 169.531 2.60818
\(66\) 21.1812 + 4.14633i 0.320928 + 0.0628231i
\(67\) 10.5147 25.3846i 0.156935 0.378875i −0.825782 0.563990i \(-0.809266\pi\)
0.982717 + 0.185115i \(0.0592657\pi\)
\(68\) −2.61099 + 6.41347i −0.0383969 + 0.0943158i
\(69\) 23.7462 + 57.3284i 0.344148 + 0.830847i
\(70\) −50.5545 + 76.1602i −0.722207 + 1.08800i
\(71\) −32.2012 32.2012i −0.453538 0.453538i 0.442989 0.896527i \(-0.353918\pi\)
−0.896527 + 0.442989i \(0.853918\pi\)
\(72\) −1.01083 4.85026i −0.0140394 0.0673647i
\(73\) −28.5494 28.5494i −0.391088 0.391088i 0.483987 0.875075i \(-0.339188\pi\)
−0.875075 + 0.483987i \(0.839188\pi\)
\(74\) −5.48676 27.1523i −0.0741455 0.366923i
\(75\) −38.3891 92.6796i −0.511855 1.23573i
\(76\) 43.8777 + 43.3475i 0.577338 + 0.570362i
\(77\) 8.44203 20.3809i 0.109637 0.264686i
\(78\) −70.9276 105.455i −0.909329 1.35199i
\(79\) 22.4049 0.283606 0.141803 0.989895i \(-0.454710\pi\)
0.141803 + 0.989895i \(0.454710\pi\)
\(80\) −45.8989 + 114.735i −0.573737 + 1.43419i
\(81\) 75.0427i 0.926453i
\(82\) 29.3252 + 43.6009i 0.357625 + 0.531718i
\(83\) −123.286 51.0669i −1.48538 0.615264i −0.515073 0.857146i \(-0.672235\pi\)
−0.970306 + 0.241882i \(0.922235\pi\)
\(84\) 68.5255 0.416532i 0.815780 0.00495872i
\(85\) −12.3527 + 5.11665i −0.145326 + 0.0601959i
\(86\) −32.1616 159.158i −0.373972 1.85067i
\(87\) 14.9361 14.9361i 0.171680 0.171680i
\(88\) 5.55106 29.3008i 0.0630803 0.332964i
\(89\) 61.0281 61.0281i 0.685709 0.685709i −0.275572 0.961280i \(-0.588867\pi\)
0.961280 + 0.275572i \(0.0888672\pi\)
\(90\) 5.29063 7.97031i 0.0587847 0.0885590i
\(91\) −120.009 + 49.7093i −1.31878 + 0.546256i
\(92\) 79.0109 33.2915i 0.858814 0.361864i
\(93\) 83.3652 + 34.5310i 0.896400 + 0.371301i
\(94\) 31.9583 + 6.25599i 0.339982 + 0.0665531i
\(95\) 119.093i 1.25362i
\(96\) 90.5730 19.4514i 0.943469 0.202618i
\(97\) −69.9064 −0.720684 −0.360342 0.932820i \(-0.617340\pi\)
−0.360342 + 0.932820i \(0.617340\pi\)
\(98\) −5.37122 + 27.4385i −0.0548084 + 0.279985i
\(99\) −0.883474 + 2.13290i −0.00892398 + 0.0215444i
\(100\) −127.732 + 53.8204i −1.27732 + 0.538204i
\(101\) −10.4825 25.3069i −0.103787 0.250564i 0.863452 0.504431i \(-0.168298\pi\)
−0.967239 + 0.253867i \(0.918298\pi\)
\(102\) 8.35082 + 5.54320i 0.0818708 + 0.0543451i
\(103\) 116.721 + 116.721i 1.13322 + 1.13322i 0.989639 + 0.143579i \(0.0458612\pi\)
0.143579 + 0.989639i \(0.454139\pi\)
\(104\) −145.112 + 98.8860i −1.39530 + 0.950827i
\(105\) 93.5616 + 93.5616i 0.891063 + 0.891063i
\(106\) 61.6771 12.4633i 0.581859 0.117579i
\(107\) −21.6236 52.2039i −0.202090 0.487887i 0.790047 0.613046i \(-0.210056\pi\)
−0.992137 + 0.125159i \(0.960056\pi\)
\(108\) −111.387 + 0.677068i −1.03136 + 0.00626915i
\(109\) −28.8284 + 69.5980i −0.264481 + 0.638514i −0.999206 0.0398518i \(-0.987311\pi\)
0.734725 + 0.678366i \(0.237311\pi\)
\(110\) 47.7805 32.1364i 0.434369 0.292149i
\(111\) −40.0965 −0.361230
\(112\) −1.15104 94.6778i −0.0102772 0.845337i
\(113\) 130.141i 1.15169i 0.817559 + 0.575845i \(0.195327\pi\)
−0.817559 + 0.575845i \(0.804673\pi\)
\(114\) 74.0810 49.8257i 0.649833 0.437067i
\(115\) 152.948 + 63.3530i 1.32998 + 0.550895i
\(116\) −20.7626 20.5117i −0.178988 0.176825i
\(117\) 12.5592 5.20217i 0.107343 0.0444630i
\(118\) −72.3570 + 14.6214i −0.613195 + 0.123911i
\(119\) 7.24401 7.24401i 0.0608740 0.0608740i
\(120\) 149.627 + 98.0158i 1.24689 + 0.816799i
\(121\) 75.7339 75.7339i 0.625900 0.625900i
\(122\) 124.024 + 82.3261i 1.01659 + 0.674804i
\(123\) 70.2682 29.1060i 0.571286 0.236635i
\(124\) 47.0111 115.475i 0.379122 0.931252i
\(125\) −68.8726 28.5280i −0.550981 0.228224i
\(126\) −1.40814 + 7.19336i −0.0111757 + 0.0570902i
\(127\) 56.3580i 0.443764i −0.975074 0.221882i \(-0.928780\pi\)
0.975074 0.221882i \(-0.0712200\pi\)
\(128\) −27.6365 124.981i −0.215910 0.976413i
\(129\) −235.033 −1.82196
\(130\) −332.747 65.1369i −2.55960 0.501053i
\(131\) −39.2631 + 94.7895i −0.299718 + 0.723584i 0.700235 + 0.713912i \(0.253079\pi\)
−0.999953 + 0.00967128i \(0.996921\pi\)
\(132\) −39.9803 16.2764i −0.302881 0.123306i
\(133\) −34.9201 84.3045i −0.262557 0.633868i
\(134\) −30.3908 + 45.7837i −0.226797 + 0.341670i
\(135\) −152.083 152.083i −1.12654 1.12654i
\(136\) 7.58888 11.5848i 0.0558006 0.0851826i
\(137\) 62.6423 + 62.6423i 0.457243 + 0.457243i 0.897750 0.440506i \(-0.145201\pi\)
−0.440506 + 0.897750i \(0.645201\pi\)
\(138\) −24.5812 121.645i −0.178125 0.881485i
\(139\) 11.6343 + 28.0877i 0.0837000 + 0.202070i 0.960188 0.279353i \(-0.0901201\pi\)
−0.876488 + 0.481423i \(0.840120\pi\)
\(140\) 128.488 130.059i 0.917770 0.928996i
\(141\) 18.0384 43.5487i 0.127932 0.308856i
\(142\) 50.8306 + 75.5751i 0.357962 + 0.532219i
\(143\) 81.8247 0.572201
\(144\) 0.120459 + 9.90821i 0.000836518 + 0.0688070i
\(145\) 56.3542i 0.388649i
\(146\) 45.0661 + 67.0044i 0.308672 + 0.458935i
\(147\) 37.3897 + 15.4873i 0.254352 + 0.105356i
\(148\) 0.336756 + 55.4012i 0.00227538 + 0.374332i
\(149\) −52.6977 + 21.8281i −0.353676 + 0.146497i −0.552446 0.833549i \(-0.686305\pi\)
0.198770 + 0.980046i \(0.436305\pi\)
\(150\) 39.7391 + 196.656i 0.264927 + 1.31104i
\(151\) −48.5998 + 48.5998i −0.321853 + 0.321853i −0.849478 0.527625i \(-0.823083\pi\)
0.527625 + 0.849478i \(0.323083\pi\)
\(152\) −69.4660 101.939i −0.457013 0.670650i
\(153\) −0.758099 + 0.758099i −0.00495490 + 0.00495490i
\(154\) −24.4002 + 36.7589i −0.158443 + 0.238694i
\(155\) 222.412 92.1259i 1.43491 0.594361i
\(156\) 98.6952 + 234.234i 0.632662 + 1.50150i
\(157\) 121.622 + 50.3774i 0.774661 + 0.320875i 0.734759 0.678328i \(-0.237295\pi\)
0.0399023 + 0.999204i \(0.487295\pi\)
\(158\) −43.9751 8.60834i −0.278323 0.0544832i
\(159\) 91.0803i 0.572832i
\(160\) 134.171 207.561i 0.838571 1.29726i
\(161\) −126.845 −0.787860
\(162\) −28.8327 + 147.290i −0.177980 + 0.909196i
\(163\) −13.0161 + 31.4236i −0.0798533 + 0.192783i −0.958764 0.284203i \(-0.908271\pi\)
0.878911 + 0.476986i \(0.158271\pi\)
\(164\) −40.8058 96.8448i −0.248816 0.590517i
\(165\) −31.8962 77.0043i −0.193310 0.466692i
\(166\) 222.359 + 147.600i 1.33951 + 0.889158i
\(167\) −138.734 138.734i −0.830744 0.830744i 0.156875 0.987619i \(-0.449858\pi\)
−0.987619 + 0.156875i \(0.949858\pi\)
\(168\) −134.658 25.5111i −0.801537 0.151852i
\(169\) −221.190 221.190i −1.30881 1.30881i
\(170\) 26.2111 5.29658i 0.154183 0.0311564i
\(171\) 3.65445 + 8.82263i 0.0213711 + 0.0515943i
\(172\) 1.97396 + 324.744i 0.0114765 + 1.88805i
\(173\) −69.7574 + 168.409i −0.403222 + 0.973464i 0.583656 + 0.812001i \(0.301621\pi\)
−0.986879 + 0.161464i \(0.948379\pi\)
\(174\) −35.0546 + 23.5771i −0.201463 + 0.135501i
\(175\) 205.064 1.17179
\(176\) −22.1532 + 55.3773i −0.125871 + 0.314644i
\(177\) 106.852i 0.603682i
\(178\) −143.231 + 96.3346i −0.804667 + 0.541206i
\(179\) 45.0027 + 18.6407i 0.251411 + 0.104138i 0.504830 0.863219i \(-0.331555\pi\)
−0.253419 + 0.967357i \(0.581555\pi\)
\(180\) −13.4465 + 13.6110i −0.0747027 + 0.0756165i
\(181\) 118.928 49.2615i 0.657060 0.272163i −0.0291408 0.999575i \(-0.509277\pi\)
0.686201 + 0.727412i \(0.259277\pi\)
\(182\) 254.646 51.4573i 1.39915 0.282732i
\(183\) 152.362 152.362i 0.832577 0.832577i
\(184\) −167.870 + 34.9854i −0.912335 + 0.190138i
\(185\) −75.6423 + 75.6423i −0.408877 + 0.408877i
\(186\) −150.357 99.8059i −0.808373 0.536591i
\(187\) −5.96206 + 2.46956i −0.0318827 + 0.0132062i
\(188\) −60.3224 24.5579i −0.320864 0.130627i
\(189\) 152.251 + 63.0643i 0.805559 + 0.333674i
\(190\) 45.7577 233.750i 0.240830 1.23026i
\(191\) 179.282i 0.938649i 0.883026 + 0.469325i \(0.155503\pi\)
−0.883026 + 0.469325i \(0.844497\pi\)
\(192\) −185.246 + 3.37838i −0.964820 + 0.0175957i
\(193\) 179.924 0.932249 0.466125 0.884719i \(-0.345650\pi\)
0.466125 + 0.884719i \(0.345650\pi\)
\(194\) 137.209 + 26.8592i 0.707260 + 0.138450i
\(195\) −187.815 + 453.425i −0.963153 + 2.32526i
\(196\) 21.0847 51.7912i 0.107575 0.264241i
\(197\) −93.2938 225.231i −0.473573 1.14331i −0.962573 0.271022i \(-0.912638\pi\)
0.489000 0.872284i \(-0.337362\pi\)
\(198\) 2.55353 3.84689i 0.0128966 0.0194287i
\(199\) −131.782 131.782i −0.662220 0.662220i 0.293683 0.955903i \(-0.405119\pi\)
−0.955903 + 0.293683i \(0.905119\pi\)
\(200\) 271.385 56.5589i 1.35693 0.282795i
\(201\) 56.2446 + 56.2446i 0.279824 + 0.279824i
\(202\) 10.8511 + 53.6987i 0.0537183 + 0.265835i
\(203\) 16.5239 + 39.8923i 0.0813987 + 0.196514i
\(204\) −14.2608 14.0884i −0.0699057 0.0690610i
\(205\) 77.6526 187.470i 0.378793 0.914487i
\(206\) −184.248 273.941i −0.894409 1.32981i
\(207\) 13.2746 0.0641286
\(208\) 322.811 138.334i 1.55198 0.665067i
\(209\) 57.4807i 0.275027i
\(210\) −147.690 219.586i −0.703285 1.04565i
\(211\) −182.694 75.6743i −0.865848 0.358646i −0.0948559 0.995491i \(-0.530239\pi\)
−0.770992 + 0.636845i \(0.780239\pi\)
\(212\) −125.845 + 0.764951i −0.593609 + 0.00360826i
\(213\) 121.799 50.4506i 0.571824 0.236857i
\(214\) 22.3840 + 110.771i 0.104598 + 0.517623i
\(215\) −443.391 + 443.391i −2.06228 + 2.06228i
\(216\) 218.885 + 41.4680i 1.01336 + 0.191982i
\(217\) −130.429 + 130.429i −0.601056 + 0.601056i
\(218\) 83.3237 125.527i 0.382219 0.575812i
\(219\) 107.986 44.7293i 0.493087 0.204243i
\(220\) −106.128 + 44.7176i −0.482402 + 0.203262i
\(221\) 35.1064 + 14.5416i 0.158853 + 0.0657989i
\(222\) 78.6994 + 15.4058i 0.354502 + 0.0693954i
\(223\) 175.414i 0.786612i −0.919408 0.393306i \(-0.871331\pi\)
0.919408 0.393306i \(-0.128669\pi\)
\(224\) −34.1176 + 186.271i −0.152311 + 0.831566i
\(225\) −21.4603 −0.0953792
\(226\) 50.0024 255.434i 0.221250 1.13024i
\(227\) 157.825 381.024i 0.695265 1.67852i −0.0386277 0.999254i \(-0.512299\pi\)
0.733893 0.679265i \(-0.237701\pi\)
\(228\) −164.546 + 69.3320i −0.721693 + 0.304088i
\(229\) 57.0597 + 137.754i 0.249169 + 0.601547i 0.998134 0.0610623i \(-0.0194488\pi\)
−0.748965 + 0.662610i \(0.769449\pi\)
\(230\) −275.856 183.111i −1.19937 0.796135i
\(231\) 45.1577 + 45.1577i 0.195488 + 0.195488i
\(232\) 32.8708 + 48.2367i 0.141685 + 0.207917i
\(233\) 275.512 + 275.512i 1.18246 + 1.18246i 0.979106 + 0.203349i \(0.0651826\pi\)
0.203349 + 0.979106i \(0.434817\pi\)
\(234\) −26.6492 + 5.38511i −0.113886 + 0.0230133i
\(235\) −48.1251 116.184i −0.204788 0.494401i
\(236\) 147.636 0.897408i 0.625578 0.00380258i
\(237\) −24.8212 + 59.9236i −0.104731 + 0.252842i
\(238\) −17.0014 + 11.4349i −0.0714346 + 0.0480457i
\(239\) −63.0374 −0.263755 −0.131877 0.991266i \(-0.542101\pi\)
−0.131877 + 0.991266i \(0.542101\pi\)
\(240\) −256.020 249.869i −1.06675 1.04112i
\(241\) 194.368i 0.806507i 0.915088 + 0.403253i \(0.132121\pi\)
−0.915088 + 0.403253i \(0.867879\pi\)
\(242\) −177.745 + 119.548i −0.734482 + 0.494001i
\(243\) −30.8408 12.7747i −0.126917 0.0525708i
\(244\) −211.797 209.238i −0.868020 0.857531i
\(245\) 99.7526 41.3189i 0.407154 0.168649i
\(246\) −149.102 + 30.1296i −0.606105 + 0.122478i
\(247\) 239.330 239.330i 0.968949 0.968949i
\(248\) −136.639 + 208.586i −0.550962 + 0.841073i
\(249\) 273.165 273.165i 1.09705 1.09705i
\(250\) 124.219 + 82.4553i 0.496875 + 0.329821i
\(251\) −317.091 + 131.343i −1.26331 + 0.523281i −0.910924 0.412574i \(-0.864630\pi\)
−0.352387 + 0.935854i \(0.614630\pi\)
\(252\) 5.52763 13.5777i 0.0219350 0.0538799i
\(253\) 73.8205 + 30.5774i 0.291781 + 0.120859i
\(254\) −21.6537 + 110.617i −0.0852509 + 0.435498i
\(255\) 38.7067i 0.151791i
\(256\) 6.22370 + 255.924i 0.0243113 + 0.999704i
\(257\) −180.756 −0.703330 −0.351665 0.936126i \(-0.614384\pi\)
−0.351665 + 0.936126i \(0.614384\pi\)
\(258\) 461.310 + 90.3037i 1.78802 + 0.350014i
\(259\) 31.3666 75.7256i 0.121106 0.292377i
\(260\) 628.072 + 255.695i 2.41566 + 0.983441i
\(261\) −1.72926 4.17480i −0.00662552 0.0159954i
\(262\) 113.483 170.962i 0.433142 0.652527i
\(263\) 266.626 + 266.626i 1.01379 + 1.01379i 0.999904 + 0.0138830i \(0.00441924\pi\)
0.0138830 + 0.999904i \(0.495581\pi\)
\(264\) 72.2176 + 47.3076i 0.273551 + 0.179195i
\(265\) −171.823 171.823i −0.648390 0.648390i
\(266\) 36.1480 + 178.885i 0.135895 + 0.672501i
\(267\) 95.6146 + 230.834i 0.358107 + 0.864547i
\(268\) 77.2404 78.1852i 0.288211 0.291736i
\(269\) −156.911 + 378.816i −0.583311 + 1.40824i 0.306483 + 0.951876i \(0.400848\pi\)
−0.889794 + 0.456362i \(0.849152\pi\)
\(270\) 240.068 + 356.934i 0.889141 + 1.32198i
\(271\) −323.931 −1.19532 −0.597659 0.801750i \(-0.703902\pi\)
−0.597659 + 0.801750i \(0.703902\pi\)
\(272\) −19.3461 + 19.8223i −0.0711255 + 0.0728762i
\(273\) 376.043i 1.37745i
\(274\) −98.8828 147.019i −0.360886 0.536567i
\(275\) −119.341 49.4328i −0.433969 0.179756i
\(276\) 1.50870 + 248.203i 0.00546631 + 0.899285i
\(277\) −289.883 + 120.073i −1.04651 + 0.433478i −0.838644 0.544680i \(-0.816651\pi\)
−0.207864 + 0.978158i \(0.566651\pi\)
\(278\) −12.0434 59.5991i −0.0433216 0.214385i
\(279\) 13.6497 13.6497i 0.0489235 0.0489235i
\(280\) −302.160 + 205.906i −1.07914 + 0.735380i
\(281\) 297.826 297.826i 1.05988 1.05988i 0.0617901 0.998089i \(-0.480319\pi\)
0.998089 0.0617901i \(-0.0196809\pi\)
\(282\) −52.1370 + 78.5443i −0.184883 + 0.278526i
\(283\) −132.389 + 54.8372i −0.467804 + 0.193771i −0.604118 0.796895i \(-0.706474\pi\)
0.136314 + 0.990666i \(0.456474\pi\)
\(284\) −70.7303 167.865i −0.249050 0.591073i
\(285\) −318.525 131.937i −1.11763 0.462938i
\(286\) −160.601 31.4385i −0.561543 0.109925i
\(287\) 155.476i 0.541729i
\(288\) 3.57048 19.4936i 0.0123975 0.0676861i
\(289\) 286.003 0.989630
\(290\) −21.6522 + 110.609i −0.0746629 + 0.381410i
\(291\) 77.4455 186.970i 0.266136 0.642509i
\(292\) −62.7091 148.828i −0.214757 0.509685i
\(293\) 18.1180 + 43.7407i 0.0618361 + 0.149286i 0.951777 0.306790i \(-0.0992548\pi\)
−0.889941 + 0.456075i \(0.849255\pi\)
\(294\) −67.4360 44.7634i −0.229374 0.152257i
\(295\) 201.576 + 201.576i 0.683309 + 0.683309i
\(296\) 20.6251 108.868i 0.0696795 0.367797i
\(297\) −73.4033 73.4033i −0.247149 0.247149i
\(298\) 111.819 22.5957i 0.375231 0.0758244i
\(299\) −180.050 434.678i −0.602172 1.45377i
\(300\) −2.43903 401.255i −0.00813010 1.33752i
\(301\) 183.861 443.879i 0.610833 1.47468i
\(302\) 114.062 76.7162i 0.377689 0.254027i
\(303\) 79.2984 0.261711
\(304\) 97.1776 + 226.770i 0.319663 + 0.745954i
\(305\) 574.861i 1.88479i
\(306\) 1.77923 1.19668i 0.00581449 0.00391073i
\(307\) 532.332 + 220.499i 1.73398 + 0.718239i 0.999202 + 0.0399320i \(0.0127141\pi\)
0.734779 + 0.678307i \(0.237286\pi\)
\(308\) 62.0149 62.7734i 0.201347 0.203810i
\(309\) −441.490 + 182.871i −1.42877 + 0.591816i
\(310\) −471.934 + 95.3655i −1.52237 + 0.307631i
\(311\) 383.582 383.582i 1.23338 1.23338i 0.270725 0.962657i \(-0.412737\pi\)
0.962657 0.270725i \(-0.0872634\pi\)
\(312\) −103.717 497.663i −0.332426 1.59507i
\(313\) −362.165 + 362.165i −1.15708 + 1.15708i −0.171974 + 0.985101i \(0.555015\pi\)
−0.985101 + 0.171974i \(0.944985\pi\)
\(314\) −219.357 145.607i −0.698589 0.463718i
\(315\) 26.1514 10.8323i 0.0830204 0.0343882i
\(316\) 83.0046 + 33.7920i 0.262673 + 0.106937i
\(317\) −487.277 201.837i −1.53715 0.636709i −0.556215 0.831038i \(-0.687747\pi\)
−0.980936 + 0.194329i \(0.937747\pi\)
\(318\) −34.9946 + 178.768i −0.110046 + 0.562162i
\(319\) 27.1995i 0.0852648i
\(320\) −343.093 + 355.840i −1.07217 + 1.11200i
\(321\) 163.579 0.509592
\(322\) 248.966 + 48.7362i 0.773185 + 0.151355i
\(323\) −10.2152 + 24.6618i −0.0316261 + 0.0763523i
\(324\) 113.183 278.015i 0.349329 0.858070i
\(325\) 291.076 + 702.719i 0.895618 + 2.16221i
\(326\) 37.6208 56.6756i 0.115401 0.173852i
\(327\) −154.208 154.208i −0.471584 0.471584i
\(328\) 42.8821 + 205.760i 0.130738 + 0.627317i
\(329\) 68.1341 + 68.1341i 0.207095 + 0.207095i
\(330\) 33.0178 + 163.395i 0.100054 + 0.495136i
\(331\) 20.5475 + 49.6062i 0.0620772 + 0.149868i 0.951874 0.306489i \(-0.0991542\pi\)
−0.889797 + 0.456356i \(0.849154\pi\)
\(332\) −379.725 375.136i −1.14375 1.12993i
\(333\) −3.28257 + 7.92483i −0.00985757 + 0.0237983i
\(334\) 218.996 + 325.604i 0.655677 + 0.974863i
\(335\) 212.211 0.633466
\(336\) 254.498 + 101.810i 0.757435 + 0.303006i
\(337\) 627.680i 1.86255i 0.364315 + 0.931276i \(0.381303\pi\)
−0.364315 + 0.931276i \(0.618697\pi\)
\(338\) 349.155 + 519.124i 1.03300 + 1.53587i
\(339\) −348.072 144.176i −1.02676 0.425299i
\(340\) −53.4809 + 0.325084i −0.157297 + 0.000956128i
\(341\) 107.347 44.4648i 0.314802 0.130395i
\(342\) −3.78296 18.7207i −0.0110613 0.0547389i
\(343\) −263.539 + 263.539i −0.768336 + 0.768336i
\(344\) 120.898 638.148i 0.351447 1.85508i
\(345\) −338.885 + 338.885i −0.982275 + 0.982275i
\(346\) 201.622 303.743i 0.582722 0.877870i
\(347\) 320.625 132.807i 0.923992 0.382730i 0.130596 0.991436i \(-0.458311\pi\)
0.793396 + 0.608706i \(0.208311\pi\)
\(348\) 77.8620 32.8074i 0.223741 0.0942741i
\(349\) 14.5498 + 6.02674i 0.0416901 + 0.0172686i 0.403431 0.915010i \(-0.367818\pi\)
−0.361741 + 0.932279i \(0.617818\pi\)
\(350\) −402.488 78.7890i −1.14997 0.225112i
\(351\) 611.254i 1.74146i
\(352\) 64.7581 100.180i 0.183972 0.284602i
\(353\) 283.828 0.804045 0.402023 0.915630i \(-0.368307\pi\)
0.402023 + 0.915630i \(0.368307\pi\)
\(354\) 41.0542 209.723i 0.115972 0.592437i
\(355\) 134.598 324.949i 0.379150 0.915349i
\(356\) 318.139 134.049i 0.893649 0.376542i
\(357\) 11.3494 + 27.3999i 0.0317911 + 0.0767505i
\(358\) −81.1668 53.8778i −0.226723 0.150497i
\(359\) 388.417 + 388.417i 1.08194 + 1.08194i 0.996329 + 0.0856121i \(0.0272846\pi\)
0.0856121 + 0.996329i \(0.472715\pi\)
\(360\) 31.6216 21.5485i 0.0878379 0.0598570i
\(361\) −87.1393 87.1393i −0.241383 0.241383i
\(362\) −252.352 + 50.9938i −0.697106 + 0.140867i
\(363\) 118.655 + 286.458i 0.326872 + 0.789140i
\(364\) −519.577 + 3.15825i −1.42741 + 0.00867651i
\(365\) 119.334 288.098i 0.326943 0.789309i
\(366\) −357.587 + 240.507i −0.977014 + 0.657124i
\(367\) −529.617 −1.44310 −0.721548 0.692364i \(-0.756569\pi\)
−0.721548 + 0.692364i \(0.756569\pi\)
\(368\) 342.928 4.16913i 0.931869 0.0113292i
\(369\) 16.2709i 0.0440945i
\(370\) 177.530 119.404i 0.479810 0.322713i
\(371\) 172.013 + 71.2499i 0.463646 + 0.192048i
\(372\) 256.766 + 253.664i 0.690232 + 0.681892i
\(373\) −36.8515 + 15.2644i −0.0987975 + 0.0409233i −0.431535 0.902096i \(-0.642028\pi\)
0.332737 + 0.943020i \(0.392028\pi\)
\(374\) 12.6509 2.55641i 0.0338258 0.00683531i
\(375\) 152.601 152.601i 0.406935 0.406935i
\(376\) 108.962 + 71.3778i 0.289793 + 0.189835i
\(377\) −113.249 + 113.249i −0.300396 + 0.300396i
\(378\) −274.599 182.277i −0.726453 0.482213i
\(379\) −463.955 + 192.176i −1.22415 + 0.507061i −0.898728 0.438506i \(-0.855508\pi\)
−0.325426 + 0.945567i \(0.605508\pi\)
\(380\) −179.622 + 441.212i −0.472689 + 1.16108i
\(381\) 150.734 + 62.4361i 0.395627 + 0.163874i
\(382\) 68.8832 351.885i 0.180323 0.921165i
\(383\) 304.650i 0.795432i −0.917509 0.397716i \(-0.869803\pi\)
0.917509 0.397716i \(-0.130197\pi\)
\(384\) 364.888 + 64.5436i 0.950230 + 0.168082i
\(385\) 170.380 0.442547
\(386\) −353.145 69.1299i −0.914885 0.179093i
\(387\) −19.2414 + 46.4528i −0.0497193 + 0.120033i
\(388\) −258.986 105.436i −0.667489 0.271742i
\(389\) −72.6039 175.281i −0.186642 0.450594i 0.802667 0.596428i \(-0.203414\pi\)
−0.989309 + 0.145833i \(0.953414\pi\)
\(390\) 542.847 817.797i 1.39191 2.09692i
\(391\) 26.2382 + 26.2382i 0.0671053 + 0.0671053i
\(392\) −61.2830 + 93.5519i −0.156334 + 0.238653i
\(393\) −210.024 210.024i −0.534413 0.534413i
\(394\) 96.5745 + 477.917i 0.245113 + 1.21299i
\(395\) 66.2209 + 159.871i 0.167648 + 0.404737i
\(396\) −6.48998 + 6.56936i −0.0163888 + 0.0165893i
\(397\) 79.4405 191.786i 0.200102 0.483089i −0.791694 0.610917i \(-0.790801\pi\)
0.991796 + 0.127829i \(0.0408007\pi\)
\(398\) 208.021 + 309.287i 0.522667 + 0.777103i
\(399\) 264.165 0.662068
\(400\) −554.392 + 6.73999i −1.38598 + 0.0168500i
\(401\) 58.9969i 0.147124i −0.997291 0.0735622i \(-0.976563\pi\)
0.997291 0.0735622i \(-0.0234368\pi\)
\(402\) −88.7838 132.004i −0.220855 0.328368i
\(403\) −632.095 261.822i −1.56847 0.649683i
\(404\) −0.665998 109.566i −0.00164851 0.271203i
\(405\) 535.471 221.800i 1.32215 0.547653i
\(406\) −17.1050 84.6473i −0.0421305 0.208491i
\(407\) −36.5089 + 36.5089i −0.0897025 + 0.0897025i
\(408\) 22.5772 + 33.1313i 0.0553364 + 0.0812041i
\(409\) 110.309 110.309i 0.269704 0.269704i −0.559277 0.828981i \(-0.688921\pi\)
0.828981 + 0.559277i \(0.188921\pi\)
\(410\) −224.442 + 338.121i −0.547418 + 0.824685i
\(411\) −236.940 + 98.1437i −0.576496 + 0.238792i
\(412\) 256.380 + 608.469i 0.622282 + 1.47687i
\(413\) −201.798 83.5875i −0.488615 0.202391i
\(414\) −26.0547 5.10034i −0.0629341 0.0123197i
\(415\) 1030.65i 2.48350i
\(416\) −686.747 + 147.485i −1.65083 + 0.354531i
\(417\) −88.0117 −0.211059
\(418\) 22.0851 112.820i 0.0528351 0.269905i
\(419\) 4.61960 11.1527i 0.0110253 0.0266174i −0.918271 0.395952i \(-0.870415\pi\)
0.929296 + 0.369335i \(0.120415\pi\)
\(420\) 205.509 + 487.736i 0.489308 + 1.16128i
\(421\) 32.5432 + 78.5662i 0.0772998 + 0.186618i 0.957805 0.287418i \(-0.0927967\pi\)
−0.880506 + 0.474036i \(0.842797\pi\)
\(422\) 329.506 + 218.724i 0.780821 + 0.518302i
\(423\) −7.13037 7.13037i −0.0168567 0.0168567i
\(424\) 247.296 + 46.8505i 0.583246 + 0.110496i
\(425\) −42.4177 42.4177i −0.0998064 0.0998064i
\(426\) −258.444 + 52.2247i −0.606676 + 0.122593i
\(427\) 168.558 + 406.936i 0.394750 + 0.953012i
\(428\) −1.37384 226.016i −0.00320991 0.528076i
\(429\) −90.6492 + 218.847i −0.211304 + 0.510132i
\(430\) 1040.62 699.905i 2.42005 1.62769i
\(431\) −201.982 −0.468636 −0.234318 0.972160i \(-0.575286\pi\)
−0.234318 + 0.972160i \(0.575286\pi\)
\(432\) −413.684 165.491i −0.957601 0.383080i
\(433\) 643.404i 1.48592i −0.669334 0.742961i \(-0.733421\pi\)
0.669334 0.742961i \(-0.266579\pi\)
\(434\) 306.113 205.886i 0.705328 0.474392i
\(435\) 150.724 + 62.4318i 0.346491 + 0.143521i
\(436\) −211.773 + 214.363i −0.485718 + 0.491659i
\(437\) 305.355 126.482i 0.698753 0.289433i
\(438\) −229.135 + 46.3022i −0.523139 + 0.105713i
\(439\) −218.953 + 218.953i −0.498753 + 0.498753i −0.911050 0.412296i \(-0.864727\pi\)
0.412296 + 0.911050i \(0.364727\pi\)
\(440\) 225.485 46.9929i 0.512465 0.106802i
\(441\) 6.12194 6.12194i 0.0138819 0.0138819i
\(442\) −63.3180 42.0299i −0.143253 0.0950903i
\(443\) 275.767 114.227i 0.622499 0.257848i −0.0490630 0.998796i \(-0.515624\pi\)
0.671562 + 0.740948i \(0.265624\pi\)
\(444\) −148.548 60.4753i −0.334567 0.136206i
\(445\) 615.847 + 255.092i 1.38392 + 0.573240i
\(446\) −67.3972 + 344.294i −0.151115 + 0.771960i
\(447\) 165.126i 0.369410i
\(448\) 138.533 352.494i 0.309225 0.786817i
\(449\) −264.162 −0.588334 −0.294167 0.955754i \(-0.595042\pi\)
−0.294167 + 0.955754i \(0.595042\pi\)
\(450\) 42.1212 + 8.24542i 0.0936026 + 0.0183232i
\(451\) 37.4792 90.4828i 0.0831024 0.200627i
\(452\) −196.284 + 482.140i −0.434257 + 1.06668i
\(453\) −76.1428 183.825i −0.168086 0.405795i
\(454\) −456.167 + 687.214i −1.00477 + 1.51369i
\(455\) −709.407 709.407i −1.55914 1.55914i
\(456\) 349.601 72.8597i 0.766669 0.159780i
\(457\) 324.484 + 324.484i 0.710030 + 0.710030i 0.966541 0.256511i \(-0.0825731\pi\)
−0.256511 + 0.966541i \(0.582573\pi\)
\(458\) −59.0662 292.300i −0.128966 0.638210i
\(459\) −18.4483 44.5382i −0.0401925 0.0970332i
\(460\) 471.082 + 465.389i 1.02409 + 1.01172i
\(461\) −46.5472 + 112.375i −0.100970 + 0.243763i −0.966290 0.257457i \(-0.917115\pi\)
0.865320 + 0.501220i \(0.167115\pi\)
\(462\) −71.2828 105.984i −0.154292 0.229402i
\(463\) −602.217 −1.30069 −0.650343 0.759641i \(-0.725375\pi\)
−0.650343 + 0.759641i \(0.725375\pi\)
\(464\) −45.9837 107.306i −0.0991029 0.231263i
\(465\) 696.918i 1.49875i
\(466\) −434.904 646.617i −0.933271 1.38759i
\(467\) 327.171 + 135.519i 0.700580 + 0.290190i 0.704400 0.709803i \(-0.251216\pi\)
−0.00382006 + 0.999993i \(0.501216\pi\)
\(468\) 54.3747 0.330517i 0.116185 0.000706233i
\(469\) −150.221 + 62.2237i −0.320301 + 0.132673i
\(470\) 49.8174 + 246.531i 0.105995 + 0.524534i
\(471\) −269.477 + 269.477i −0.572137 + 0.572137i
\(472\) −290.118 54.9630i −0.614656 0.116447i
\(473\) −214.003 + 214.003i −0.452439 + 0.452439i
\(474\) 71.7413 108.078i 0.151353 0.228013i
\(475\) −493.650 + 204.477i −1.03926 + 0.430477i
\(476\) 37.7630 15.9116i 0.0793340 0.0334276i
\(477\) −18.0014 7.45644i −0.0377389 0.0156320i
\(478\) 123.726 + 24.2201i 0.258842 + 0.0506696i
\(479\) 151.023i 0.315289i 0.987496 + 0.157644i \(0.0503900\pi\)
−0.987496 + 0.157644i \(0.949610\pi\)
\(480\) 406.498 + 588.798i 0.846871 + 1.22666i
\(481\) 304.022 0.632062
\(482\) 74.6796 381.495i 0.154937 0.791484i
\(483\) 140.525 339.258i 0.290943 0.702398i
\(484\) 394.800 166.350i 0.815703 0.343699i
\(485\) −206.618 498.821i −0.426017 1.02850i
\(486\) 55.6245 + 36.9231i 0.114454 + 0.0759734i
\(487\) 382.894 + 382.894i 0.786231 + 0.786231i 0.980874 0.194643i \(-0.0623549\pi\)
−0.194643 + 0.980874i \(0.562355\pi\)
\(488\) 335.311 + 492.056i 0.687112 + 1.00831i
\(489\) −69.6251 69.6251i −0.142383 0.142383i
\(490\) −211.665 + 42.7719i −0.431969 + 0.0872895i
\(491\) 205.776 + 496.786i 0.419095 + 1.01178i 0.982610 + 0.185679i \(0.0594484\pi\)
−0.563516 + 0.826105i \(0.690552\pi\)
\(492\) 304.225 1.84924i 0.618344 0.00375861i
\(493\) 4.83378 11.6698i 0.00980483 0.0236709i
\(494\) −561.700 + 377.790i −1.13704 + 0.764758i
\(495\) −17.8306 −0.0360215
\(496\) 348.329 356.903i 0.702277 0.719563i
\(497\) 269.493i 0.542239i
\(498\) −641.108 + 431.199i −1.28737 + 0.865861i
\(499\) 604.867 + 250.544i 1.21216 + 0.502093i 0.894909 0.446249i \(-0.147240\pi\)
0.317250 + 0.948342i \(0.397240\pi\)
\(500\) −212.129 209.566i −0.424258 0.419132i
\(501\) 524.752 217.359i 1.04741 0.433851i
\(502\) 672.834 135.962i 1.34031 0.270841i
\(503\) 324.203 324.203i 0.644539 0.644539i −0.307129 0.951668i \(-0.599368\pi\)
0.951668 + 0.307129i \(0.0993682\pi\)
\(504\) −16.0661 + 24.5258i −0.0318772 + 0.0486624i
\(505\) 149.597 149.597i 0.296231 0.296231i
\(506\) −133.143 88.3789i −0.263128 0.174662i
\(507\) 836.633 346.545i 1.65016 0.683521i
\(508\) 85.0016 208.793i 0.167326 0.411009i
\(509\) 734.614 + 304.287i 1.44325 + 0.597813i 0.960584 0.277991i \(-0.0896686\pi\)
0.482666 + 0.875805i \(0.339669\pi\)
\(510\) −14.8718 + 75.9715i −0.0291604 + 0.148964i
\(511\) 238.931i 0.467575i
\(512\) 86.1150 504.706i 0.168193 0.985754i
\(513\) −429.397 −0.837031
\(514\) 354.778 + 69.4495i 0.690229 + 0.135116i
\(515\) −487.886 + 1177.86i −0.947351 + 2.28711i
\(516\) −870.739 354.487i −1.68748 0.686990i
\(517\) −23.2277 56.0766i −0.0449278 0.108465i
\(518\) −90.6597 + 136.579i −0.175019 + 0.263665i
\(519\) −373.143 373.143i −0.718966 0.718966i
\(520\) −1134.51 743.180i −2.18174 1.42919i
\(521\) −16.7805 16.7805i −0.0322082 0.0322082i 0.690819 0.723027i \(-0.257250\pi\)
−0.723027 + 0.690819i \(0.757250\pi\)
\(522\) 1.79007 + 8.85850i 0.00342925 + 0.0169703i
\(523\) −250.400 604.519i −0.478776 1.15587i −0.960183 0.279371i \(-0.909874\pi\)
0.481407 0.876497i \(-0.340126\pi\)
\(524\) −288.426 + 291.953i −0.550430 + 0.557163i
\(525\) −227.179 + 548.459i −0.432722 + 1.04468i
\(526\) −420.877 625.762i −0.800146 1.18966i
\(527\) 53.9589 0.102389
\(528\) −123.568 120.600i −0.234031 0.228409i
\(529\) 69.5595i 0.131492i
\(530\) 271.228 + 403.263i 0.511752 + 0.760874i
\(531\) 21.1185 + 8.74759i 0.0397713 + 0.0164738i
\(532\) −2.21863 364.995i −0.00417035 0.686082i
\(533\) −532.791 + 220.689i −0.999607 + 0.414051i
\(534\) −98.9769 489.806i −0.185350 0.917239i
\(535\) 308.593 308.593i 0.576809 0.576809i
\(536\) −181.644 + 123.781i −0.338887 + 0.230934i
\(537\) −99.7121 + 99.7121i −0.185684 + 0.185684i
\(538\) 453.524 683.232i 0.842981 1.26995i
\(539\) 48.1458 19.9427i 0.0893244 0.0369994i
\(540\) −334.053 792.810i −0.618616 1.46817i
\(541\) −870.996 360.778i −1.60997 0.666873i −0.617192 0.786812i \(-0.711730\pi\)
−0.992781 + 0.119939i \(0.961730\pi\)
\(542\) 635.795 + 124.460i 1.17305 + 0.229631i
\(543\) 372.656i 0.686291i
\(544\) 45.5877 31.4731i 0.0838009 0.0578550i
\(545\) −581.827 −1.06757
\(546\) −144.482 + 738.078i −0.264620 + 1.35179i
\(547\) 36.1835 87.3546i 0.0661489 0.159698i −0.887348 0.461100i \(-0.847455\pi\)
0.953497 + 0.301403i \(0.0974548\pi\)
\(548\) 137.595 + 326.554i 0.251085 + 0.595902i
\(549\) −17.6400 42.5866i −0.0321311 0.0775713i
\(550\) 215.244 + 142.877i 0.391353 + 0.259777i
\(551\) −79.5561 79.5561i −0.144385 0.144385i
\(552\) 92.4026 487.739i 0.167396 0.883585i
\(553\) −93.7536 93.7536i −0.169536 0.169536i
\(554\) 615.101 124.296i 1.11029 0.224360i
\(555\) −118.511 286.111i −0.213534 0.515516i
\(556\) 0.739178 + 121.605i 0.00132946 + 0.218715i
\(557\) 288.342 696.118i 0.517669 1.24976i −0.421663 0.906753i \(-0.638553\pi\)
0.939332 0.343010i \(-0.111447\pi\)
\(558\) −32.0353 + 21.5464i −0.0574109 + 0.0386136i
\(559\) 1782.08 3.18797
\(560\) 672.177 288.047i 1.20032 0.514370i
\(561\) 18.6819i 0.0333010i
\(562\) −698.987 + 470.127i −1.24375 + 0.836526i
\(563\) −609.320 252.389i −1.08227 0.448293i −0.230968 0.972961i \(-0.574189\pi\)
−0.851306 + 0.524669i \(0.824189\pi\)
\(564\) 132.510 134.131i 0.234947 0.237820i
\(565\) −928.629 + 384.651i −1.64359 + 0.680797i
\(566\) 280.915 56.7655i 0.496316 0.100292i
\(567\) −314.017 + 314.017i −0.553822 + 0.553822i
\(568\) 74.3292 + 356.652i 0.130861 + 0.627908i
\(569\) 256.311 256.311i 0.450459 0.450459i −0.445047 0.895507i \(-0.646813\pi\)
0.895507 + 0.445047i \(0.146813\pi\)
\(570\) 574.491 + 381.342i 1.00788 + 0.669021i
\(571\) 346.136 143.374i 0.606193 0.251094i −0.0584066 0.998293i \(-0.518602\pi\)
0.664600 + 0.747199i \(0.268602\pi\)
\(572\) 303.141 + 123.412i 0.529966 + 0.215754i
\(573\) −479.504 198.617i −0.836830 0.346626i
\(574\) 59.7366 305.160i 0.104071 0.531638i
\(575\) 742.751i 1.29174i
\(576\) −14.4977 + 36.8892i −0.0251696 + 0.0640437i
\(577\) −354.659 −0.614661 −0.307330 0.951603i \(-0.599436\pi\)
−0.307330 + 0.951603i \(0.599436\pi\)
\(578\) −561.352 109.887i −0.971197 0.190116i
\(579\) −199.328 + 481.221i −0.344263 + 0.831124i
\(580\) 84.9958 208.778i 0.146544 0.359963i
\(581\) 302.204 + 729.584i 0.520144 + 1.25574i
\(582\) −223.843 + 337.219i −0.384610 + 0.579414i
\(583\) −82.9309 82.9309i −0.142249 0.142249i
\(584\) 65.8999 + 316.206i 0.112842 + 0.541448i
\(585\) 74.2408 + 74.2408i 0.126907 + 0.126907i
\(586\) −18.7551 92.8132i −0.0320053 0.158384i
\(587\) −230.018 555.312i −0.391853 0.946018i −0.989536 0.144285i \(-0.953912\pi\)
0.597683 0.801733i \(-0.296088\pi\)
\(588\) 115.161 + 113.769i 0.195852 + 0.193485i
\(589\) 183.926 444.038i 0.312269 0.753884i
\(590\) −318.194 473.092i −0.539312 0.801850i
\(591\) 705.754 1.19417
\(592\) −82.3108 + 205.756i −0.139039 + 0.347560i
\(593\) 458.661i 0.773460i −0.922193 0.386730i \(-0.873605\pi\)
0.922193 0.386730i \(-0.126395\pi\)
\(594\) 115.869 + 172.275i 0.195066 + 0.290025i
\(595\) 73.1008 + 30.2793i 0.122858 + 0.0508896i
\(596\) −228.154 + 1.38683i −0.382809 + 0.00232690i
\(597\) 498.454 206.467i 0.834932 0.345840i
\(598\) 186.381 + 922.341i 0.311674 + 1.54238i
\(599\) 265.583 265.583i 0.443377 0.443377i −0.449768 0.893145i \(-0.648493\pi\)
0.893145 + 0.449768i \(0.148493\pi\)
\(600\) −149.382 + 788.500i −0.248970 + 1.31417i
\(601\) 466.600 466.600i 0.776373 0.776373i −0.202839 0.979212i \(-0.565017\pi\)
0.979212 + 0.202839i \(0.0650168\pi\)
\(602\) −531.418 + 800.579i −0.882754 + 1.32987i
\(603\) 15.7209 6.51182i 0.0260712 0.0107990i
\(604\) −253.351 + 106.750i −0.419455 + 0.176738i
\(605\) 764.246 + 316.561i 1.26322 + 0.523241i
\(606\) −155.643 30.4678i −0.256836 0.0502769i
\(607\) 90.4302i 0.148979i 0.997222 + 0.0744894i \(0.0237327\pi\)
−0.997222 + 0.0744894i \(0.976267\pi\)
\(608\) −103.606 482.430i −0.170405 0.793470i
\(609\) −125.001 −0.205256
\(610\) −220.872 + 1128.31i −0.362085 + 1.84968i
\(611\) −136.772 + 330.197i −0.223849 + 0.540420i
\(612\) −3.95197 + 1.66517i −0.00645747 + 0.00272087i
\(613\) 63.5389 + 153.397i 0.103652 + 0.250239i 0.967194 0.254038i \(-0.0817589\pi\)
−0.863542 + 0.504277i \(0.831759\pi\)
\(614\) −960.114 637.316i −1.56370 1.03797i
\(615\) 415.376 + 415.376i 0.675408 + 0.675408i
\(616\) −145.838 + 99.3812i −0.236750 + 0.161333i
\(617\) 181.842 + 181.842i 0.294720 + 0.294720i 0.838942 0.544221i \(-0.183175\pi\)
−0.544221 + 0.838942i \(0.683175\pi\)
\(618\) 936.796 189.302i 1.51585 0.306314i
\(619\) −388.636 938.250i −0.627844 1.51575i −0.842296 0.539016i \(-0.818796\pi\)
0.214451 0.976735i \(-0.431204\pi\)
\(620\) 962.928 5.85316i 1.55311 0.00944059i
\(621\) −228.422 + 551.460i −0.367829 + 0.888019i
\(622\) −900.253 + 605.495i −1.44735 + 0.973465i
\(623\) −510.746 −0.819817
\(624\) 12.3597 + 1016.64i 0.0198072 + 1.62922i
\(625\) 290.538i 0.464860i
\(626\) 849.988 571.688i 1.35781 0.913239i
\(627\) −153.737 63.6798i −0.245194 0.101563i
\(628\) 374.598 + 370.071i 0.596493 + 0.589285i
\(629\) −22.1522 + 9.17573i −0.0352181 + 0.0145878i
\(630\) −55.4906 + 11.2132i −0.0880803 + 0.0177987i
\(631\) −241.593 + 241.593i −0.382873 + 0.382873i −0.872136 0.489263i \(-0.837266\pi\)
0.489263 + 0.872136i \(0.337266\pi\)
\(632\) −149.934 98.2169i −0.237237 0.155407i
\(633\) 404.793 404.793i 0.639484 0.639484i
\(634\) 878.853 + 583.375i 1.38620 + 0.920150i
\(635\) 402.146 166.574i 0.633301 0.262322i
\(636\) 137.371 337.430i 0.215992 0.530551i
\(637\) −283.498 117.429i −0.445051 0.184346i
\(638\) −10.4505 + 53.3857i −0.0163801 + 0.0836766i
\(639\) 28.2029i 0.0441361i
\(640\) 810.125 566.601i 1.26582 0.885314i
\(641\) −385.038 −0.600684 −0.300342 0.953832i \(-0.597101\pi\)
−0.300342 + 0.953832i \(0.597101\pi\)
\(642\) −321.064 62.8499i −0.500100 0.0978971i
\(643\) 144.485 348.818i 0.224705 0.542486i −0.770813 0.637062i \(-0.780150\pi\)
0.995518 + 0.0945760i \(0.0301495\pi\)
\(644\) −469.931 191.314i −0.729707 0.297071i
\(645\) −694.674 1677.09i −1.07701 2.60014i
\(646\) 29.5254 44.4800i 0.0457050 0.0688544i
\(647\) −580.537 580.537i −0.897276 0.897276i 0.0979186 0.995194i \(-0.468782\pi\)
−0.995194 + 0.0979186i \(0.968782\pi\)
\(648\) −328.967 + 502.186i −0.507665 + 0.774978i
\(649\) 97.2911 + 97.2911i 0.149909 + 0.149909i
\(650\) −301.311 1491.10i −0.463556 2.29399i
\(651\) −204.347 493.338i −0.313898 0.757816i
\(652\) −95.6158 + 96.7853i −0.146650 + 0.148444i
\(653\) −467.055 + 1127.57i −0.715246 + 1.72676i −0.0287882 + 0.999586i \(0.509165\pi\)
−0.686457 + 0.727170i \(0.740835\pi\)
\(654\) 243.422 + 361.920i 0.372204 + 0.553395i
\(655\) −792.423 −1.20981
\(656\) −5.11016 420.331i −0.00778988 0.640749i
\(657\) 25.0046i 0.0380587i
\(658\) −107.552 159.908i −0.163453 0.243022i
\(659\) −287.435 119.060i −0.436169 0.180667i 0.153784 0.988104i \(-0.450854\pi\)
−0.589953 + 0.807437i \(0.700854\pi\)
\(660\) −2.02651 333.389i −0.00307047 0.505135i
\(661\) −478.625 + 198.253i −0.724093 + 0.299929i −0.714122 0.700021i \(-0.753174\pi\)
−0.00997082 + 0.999950i \(0.503174\pi\)
\(662\) −21.2701 105.259i −0.0321301 0.159002i
\(663\) −77.7851 + 77.7851i −0.117323 + 0.117323i
\(664\) 601.170 + 882.194i 0.905376 + 1.32861i
\(665\) 498.348 498.348i 0.749396 0.749396i
\(666\) 9.48771 14.2932i 0.0142458 0.0214613i
\(667\) −144.492 + 59.8505i −0.216629 + 0.0897309i
\(668\) −304.731 723.221i −0.456185 1.08267i
\(669\) 469.160 + 194.332i 0.701285 + 0.290482i
\(670\) −416.517 81.5352i −0.621667 0.121694i
\(671\) 277.458i 0.413499i
\(672\) −460.399 297.610i −0.685117 0.442872i
\(673\) 831.026 1.23481 0.617405 0.786646i \(-0.288184\pi\)
0.617405 + 0.786646i \(0.288184\pi\)
\(674\) 241.165 1231.98i 0.357812 1.82786i
\(675\) 369.277 891.513i 0.547077 1.32076i
\(676\) −485.846 1153.06i −0.718707 1.70571i
\(677\) −16.6301 40.1487i −0.0245644 0.0593038i 0.911121 0.412138i \(-0.135218\pi\)
−0.935686 + 0.352834i \(0.885218\pi\)
\(678\) 627.783 + 416.717i 0.925933 + 0.614627i
\(679\) 292.524 + 292.524i 0.430816 + 0.430816i
\(680\) 105.094 + 19.9102i 0.154550 + 0.0292797i
\(681\) 844.232 + 844.232i 1.23969 + 1.23969i
\(682\) −227.780 + 46.0284i −0.333988 + 0.0674903i
\(683\) 411.955 + 994.547i 0.603155 + 1.45614i 0.870317 + 0.492493i \(0.163914\pi\)
−0.267162 + 0.963652i \(0.586086\pi\)
\(684\) 0.232183 + 38.1975i 0.000339449 + 0.0558442i
\(685\) −261.839 + 632.136i −0.382247 + 0.922827i
\(686\) 618.518 416.005i 0.901629 0.606421i
\(687\) −431.648 −0.628309
\(688\) −482.479 + 1206.07i −0.701278 + 1.75301i
\(689\) 690.593i 1.00231i
\(690\) 795.351 534.940i 1.15268 0.775275i
\(691\) 657.136 + 272.195i 0.950993 + 0.393914i 0.803604 0.595164i \(-0.202913\pi\)
0.147389 + 0.989079i \(0.452913\pi\)
\(692\) −512.436 + 518.704i −0.740515 + 0.749572i
\(693\) 12.6220 5.22822i 0.0182136 0.00754433i
\(694\) −680.333 + 137.478i −0.980307 + 0.198094i
\(695\) −166.034 + 166.034i −0.238898 + 0.238898i
\(696\) −165.429 + 34.4767i −0.237685 + 0.0495355i
\(697\) 32.1605 32.1605i 0.0461413 0.0461413i
\(698\) −26.2421 17.4193i −0.0375961 0.0249560i
\(699\) −1042.10 + 431.653i −1.49085 + 0.617530i
\(700\) 759.711 + 309.286i 1.08530 + 0.441837i
\(701\) 57.0623 + 23.6360i 0.0814012 + 0.0337175i 0.423013 0.906124i \(-0.360973\pi\)
−0.341611 + 0.939841i \(0.610973\pi\)
\(702\) 234.854 1199.74i 0.334550 1.70903i
\(703\) 213.571i 0.303799i
\(704\) −165.595 + 171.747i −0.235220 + 0.243959i
\(705\) 364.059 0.516396
\(706\) −557.083 109.052i −0.789069 0.154464i
\(707\) −62.0332 + 149.761i −0.0877414 + 0.211827i
\(708\) −161.158 + 395.859i −0.227625 + 0.559123i
\(709\) −167.767 405.025i −0.236625 0.571262i 0.760305 0.649566i \(-0.225049\pi\)
−0.996930 + 0.0783041i \(0.975049\pi\)
\(710\) −389.033 + 586.078i −0.547934 + 0.825461i
\(711\) 9.81149 + 9.81149i 0.0137996 + 0.0137996i
\(712\) −675.931 + 140.869i −0.949341 + 0.197850i
\(713\) −472.421 472.421i −0.662582 0.662582i
\(714\) −11.7485 58.1398i −0.0164545 0.0814282i
\(715\) 241.845 + 583.865i 0.338245 + 0.816595i
\(716\) 138.609 + 136.934i 0.193588 + 0.191249i
\(717\) 69.8358 168.598i 0.0973999 0.235144i
\(718\) −613.127 911.600i −0.853938 1.26964i
\(719\) 1154.30 1.60542 0.802712 0.596367i \(-0.203390\pi\)
0.802712 + 0.596367i \(0.203390\pi\)
\(720\) −70.3446 + 30.1447i −0.0977008 + 0.0418676i
\(721\) 976.846i 1.35485i
\(722\) 137.552 + 204.513i 0.190515 + 0.283259i
\(723\) −519.853 215.330i −0.719022 0.297829i
\(724\) 514.897 3.12980i 0.711183 0.00432293i
\(725\) 233.592 96.7569i 0.322195 0.133458i
\(726\) −122.827 607.833i −0.169183 0.837236i
\(727\) −644.722 + 644.722i −0.886825 + 0.886825i −0.994217 0.107392i \(-0.965750\pi\)
0.107392 + 0.994217i \(0.465750\pi\)
\(728\) 1021.01 + 193.432i 1.40249 + 0.265703i
\(729\) 545.902 545.902i 0.748837 0.748837i
\(730\) −344.915 + 519.613i −0.472486 + 0.711799i
\(731\) −129.849 + 53.7851i −0.177632 + 0.0735775i
\(732\) 794.260 334.664i 1.08506 0.457191i
\(733\) 508.297 + 210.544i 0.693448 + 0.287235i 0.701436 0.712733i \(-0.252543\pi\)
−0.00798801 + 0.999968i \(0.502543\pi\)
\(734\) 1039.50 + 203.488i 1.41622 + 0.277231i
\(735\) 312.571i 0.425267i
\(736\) −674.682 123.576i −0.916688 0.167902i
\(737\) 102.424 0.138974
\(738\) −6.25155 + 31.9356i −0.00847094 + 0.0432732i
\(739\) −479.243 + 1157.00i −0.648503 + 1.56562i 0.166421 + 0.986055i \(0.446779\pi\)
−0.814923 + 0.579569i \(0.803221\pi\)
\(740\) −394.323 + 166.149i −0.532869 + 0.224526i
\(741\) 374.967 + 905.249i 0.506028 + 1.22166i
\(742\) −310.242 205.936i −0.418116 0.277542i
\(743\) −106.350 106.350i −0.143136 0.143136i 0.631908 0.775044i \(-0.282272\pi\)
−0.775044 + 0.631908i \(0.782272\pi\)
\(744\) −406.506 596.532i −0.546378 0.801790i
\(745\) −311.511 311.511i −0.418136 0.418136i
\(746\) 78.1950 15.8012i 0.104819 0.0211812i
\(747\) −31.6262 76.3524i −0.0423376 0.102212i
\(748\) −25.8127 + 0.156902i −0.0345089 + 0.000209762i
\(749\) −127.964 + 308.932i −0.170846 + 0.412460i
\(750\) −358.148 + 240.885i −0.477531 + 0.321180i
\(751\) −186.540 −0.248389 −0.124195 0.992258i \(-0.539635\pi\)
−0.124195 + 0.992258i \(0.539635\pi\)
\(752\) −186.441 181.962i −0.247926 0.241970i
\(753\) 993.594i 1.31951i
\(754\) 265.792 178.768i 0.352510 0.237092i
\(755\) −490.430 203.143i −0.649577 0.269064i
\(756\) 468.935 + 463.269i 0.620285 + 0.612789i
\(757\) 1190.57 493.151i 1.57275 0.651454i 0.585506 0.810668i \(-0.300896\pi\)
0.987244 + 0.159214i \(0.0508959\pi\)
\(758\) 984.463 198.934i 1.29876 0.262446i
\(759\) −163.564 + 163.564i −0.215499 + 0.215499i
\(760\) 522.073 796.974i 0.686939 1.04865i
\(761\) −1042.65 + 1042.65i −1.37010 + 1.37010i −0.509823 + 0.860279i \(0.670289\pi\)
−0.860279 + 0.509823i \(0.829711\pi\)
\(762\) −271.864 180.461i −0.356777 0.236825i
\(763\) 411.867 170.601i 0.539800 0.223592i
\(764\) −270.401 + 664.196i −0.353928 + 0.869366i
\(765\) −7.65014 3.16879i −0.0100002 0.00414221i
\(766\) −117.052 + 597.952i −0.152809 + 0.780616i
\(767\) 810.175i 1.05629i
\(768\) −691.384 266.879i −0.900240 0.347499i
\(769\) 362.542 0.471446 0.235723 0.971820i \(-0.424254\pi\)
0.235723 + 0.971820i \(0.424254\pi\)
\(770\) −334.414 65.4631i −0.434304 0.0850170i
\(771\) 200.250 483.445i 0.259727 0.627037i
\(772\) 666.574 + 271.369i 0.863438 + 0.351514i
\(773\) 259.669 + 626.896i