Properties

Label 128.3.l.a.3.20
Level $128$
Weight $3$
Character 128.3
Analytic conductor $3.488$
Analytic rank $0$
Dimension $496$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 128 = 2^{7} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 128.l (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.48774738381\)
Analytic rank: \(0\)
Dimension: \(496\)
Relative dimension: \(31\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 3.20
Character \(\chi\) \(=\) 128.3
Dual form 128.3.l.a.43.20

$q$-expansion

\(f(q)\) \(=\) \(q+(0.768183 + 1.84659i) q^{2} +(-4.58227 + 3.76057i) q^{3} +(-2.81979 + 2.83704i) q^{4} +(2.93176 + 0.889341i) q^{5} +(-10.4642 - 5.57276i) q^{6} +(1.62220 + 8.15533i) q^{7} +(-7.40496 - 3.02764i) q^{8} +(5.09947 - 25.6368i) q^{9} +O(q^{10})\) \(q+(0.768183 + 1.84659i) q^{2} +(-4.58227 + 3.76057i) q^{3} +(-2.81979 + 2.83704i) q^{4} +(2.93176 + 0.889341i) q^{5} +(-10.4642 - 5.57276i) q^{6} +(1.62220 + 8.15533i) q^{7} +(-7.40496 - 3.02764i) q^{8} +(5.09947 - 25.6368i) q^{9} +(0.609882 + 6.09694i) q^{10} +(-1.07709 - 10.9359i) q^{11} +(2.25216 - 23.6041i) q^{12} +(4.13935 + 13.6456i) q^{13} +(-13.8134 + 9.26032i) q^{14} +(-16.7786 + 6.94990i) q^{15} +(-0.0975588 - 15.9997i) q^{16} +(1.47239 - 3.55466i) q^{17} +(51.2580 - 10.2771i) q^{18} +(-11.9342 + 22.3273i) q^{19} +(-10.7901 + 5.80977i) q^{20} +(-38.1020 - 31.2695i) q^{21} +(19.3667 - 10.3897i) q^{22} +(4.91821 - 3.28624i) q^{23} +(45.3171 - 13.9734i) q^{24} +(-12.9824 - 8.67458i) q^{25} +(-22.0180 + 18.1260i) q^{26} +(47.8926 + 89.6007i) q^{27} +(-27.7112 - 18.3941i) q^{28} +(-4.29136 + 43.5709i) q^{29} +(-25.7226 - 25.6443i) q^{30} +(-3.65193 - 3.65193i) q^{31} +(29.4700 - 12.4708i) q^{32} +(46.0606 + 46.0606i) q^{33} +(7.69506 - 0.0117301i) q^{34} +(-2.49697 + 25.3522i) q^{35} +(58.3531 + 86.7578i) q^{36} +(-2.69382 - 5.03978i) q^{37} +(-50.3969 - 4.88611i) q^{38} +(-70.2828 - 46.9615i) q^{39} +(-19.0170 - 15.4618i) q^{40} +(-9.19436 + 6.14347i) q^{41} +(28.4727 - 94.3795i) q^{42} +(-15.0029 - 12.3125i) q^{43} +(34.0626 + 27.7811i) q^{44} +(37.7503 - 70.6258i) q^{45} +(9.84643 + 6.55748i) q^{46} +(5.26886 - 12.7202i) q^{47} +(60.6150 + 72.9480i) q^{48} +(-18.6078 + 7.70761i) q^{49} +(6.04552 - 30.6369i) q^{50} +(6.62066 + 21.8254i) q^{51} +(-50.3851 - 26.7342i) q^{52} +(5.71094 + 57.9841i) q^{53} +(-128.666 + 157.268i) q^{54} +(6.56794 - 33.0193i) q^{55} +(12.6791 - 65.3013i) q^{56} +(-29.2777 - 147.189i) q^{57} +(-83.7541 + 25.5460i) q^{58} +(-4.19109 - 1.27135i) q^{59} +(27.5949 - 67.1987i) q^{60} +(-3.35677 + 2.75483i) q^{61} +(3.93827 - 9.54897i) q^{62} +217.349 q^{63} +(45.6668 + 44.8390i) q^{64} +43.6870i q^{65} +(-49.6721 + 120.438i) q^{66} +(-25.1814 - 30.6837i) q^{67} +(5.93287 + 14.2006i) q^{68} +(-10.1784 + 33.5537i) q^{69} +(-48.7332 + 14.8642i) q^{70} +(74.3921 - 14.7975i) q^{71} +(-115.380 + 174.400i) q^{72} +(92.4198 + 18.3834i) q^{73} +(7.23706 - 8.84584i) q^{74} +(92.1103 - 9.07207i) q^{75} +(-29.6914 - 96.8159i) q^{76} +(87.4383 - 26.5241i) q^{77} +(32.7286 - 165.858i) q^{78} +(27.8922 + 67.3377i) q^{79} +(13.9432 - 46.9941i) q^{80} +(-339.062 - 140.444i) q^{81} +(-18.4074 - 12.2589i) q^{82} +(34.6876 + 18.5409i) q^{83} +(196.153 - 19.9233i) q^{84} +(7.47799 - 9.11196i) q^{85} +(11.2113 - 37.1625i) q^{86} +(-144.187 - 215.791i) q^{87} +(-25.1340 + 84.2406i) q^{88} +(18.4290 - 27.5809i) q^{89} +(159.416 + 15.4558i) q^{90} +(-104.570 + 55.8936i) q^{91} +(-4.54513 + 23.2197i) q^{92} +(30.4675 + 3.00078i) q^{93} +(27.5364 - 0.0419755i) q^{94} +(-54.8447 + 54.8447i) q^{95} +(-88.1417 + 167.969i) q^{96} +(-42.7924 + 42.7924i) q^{97} +(-28.5270 - 28.4401i) q^{98} +(-285.853 - 28.1541i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} + O(q^{10}) \) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} - 16q^{10} - 16q^{11} - 16q^{12} - 16q^{13} - 16q^{14} - 16q^{15} - 16q^{16} - 16q^{17} - 16q^{18} - 16q^{19} - 16q^{20} - 16q^{21} - 16q^{22} - 16q^{23} - 16q^{24} - 16q^{25} - 16q^{26} - 16q^{27} - 16q^{28} - 16q^{29} - 16q^{30} - 16q^{31} - 16q^{32} - 16q^{33} - 16q^{34} - 16q^{35} - 16q^{36} - 16q^{37} - 16q^{38} - 16q^{39} - 16q^{40} - 16q^{41} - 16q^{42} - 16q^{43} - 16q^{44} - 16q^{45} - 16q^{46} - 16q^{47} - 16q^{48} - 16q^{49} - 640q^{50} - 16q^{51} - 1072q^{52} - 16q^{53} - 1168q^{54} - 16q^{55} - 800q^{56} - 16q^{57} - 736q^{58} - 16q^{59} - 592q^{60} - 16q^{61} - 112q^{62} - 32q^{63} + 176q^{64} + 560q^{66} - 16q^{67} + 464q^{68} - 16q^{69} + 1328q^{70} - 16q^{71} + 1280q^{72} - 16q^{73} + 1216q^{74} - 16q^{75} + 1648q^{76} - 16q^{77} + 1424q^{78} - 16q^{79} + 800q^{80} - 16q^{81} - 16q^{82} - 16q^{83} - 16q^{84} - 16q^{85} - 16q^{86} - 16q^{87} - 16q^{88} - 16q^{89} - 16q^{90} - 16q^{91} - 16q^{92} - 16q^{93} - 16q^{94} - 16q^{95} - 16q^{96} - 16q^{97} - 16q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.768183 + 1.84659i 0.384091 + 0.923295i
\(3\) −4.58227 + 3.76057i −1.52742 + 1.25352i −0.665605 + 0.746305i \(0.731826\pi\)
−0.861818 + 0.507218i \(0.830674\pi\)
\(4\) −2.81979 + 2.83704i −0.704948 + 0.709259i
\(5\) 2.93176 + 0.889341i 0.586353 + 0.177868i 0.569502 0.821990i \(-0.307136\pi\)
0.0168507 + 0.999858i \(0.494636\pi\)
\(6\) −10.4642 5.57276i −1.74404 0.928794i
\(7\) 1.62220 + 8.15533i 0.231742 + 1.16505i 0.904925 + 0.425571i \(0.139927\pi\)
−0.673183 + 0.739476i \(0.735073\pi\)
\(8\) −7.40496 3.02764i −0.925620 0.378454i
\(9\) 5.09947 25.6368i 0.566608 2.84853i
\(10\) 0.609882 + 6.09694i 0.0609882 + 0.609694i
\(11\) −1.07709 10.9359i −0.0979171 0.994169i −0.911107 0.412170i \(-0.864771\pi\)
0.813190 0.581999i \(-0.197729\pi\)
\(12\) 2.25216 23.6041i 0.187680 1.96701i
\(13\) 4.13935 + 13.6456i 0.318411 + 1.04966i 0.959385 + 0.282099i \(0.0910306\pi\)
−0.640974 + 0.767562i \(0.721469\pi\)
\(14\) −13.8134 + 9.26032i −0.986672 + 0.661451i
\(15\) −16.7786 + 6.94990i −1.11857 + 0.463327i
\(16\) −0.0975588 15.9997i −0.00609742 0.999981i
\(17\) 1.47239 3.55466i 0.0866110 0.209098i −0.874639 0.484774i \(-0.838902\pi\)
0.961250 + 0.275676i \(0.0889019\pi\)
\(18\) 51.2580 10.2771i 2.84767 0.570950i
\(19\) −11.9342 + 22.3273i −0.628114 + 1.17512i 0.343635 + 0.939103i \(0.388342\pi\)
−0.971749 + 0.236016i \(0.924158\pi\)
\(20\) −10.7901 + 5.80977i −0.539503 + 0.290488i
\(21\) −38.1020 31.2695i −1.81438 1.48902i
\(22\) 19.3667 10.3897i 0.880302 0.472258i
\(23\) 4.91821 3.28624i 0.213835 0.142880i −0.444040 0.896007i \(-0.646455\pi\)
0.657875 + 0.753127i \(0.271455\pi\)
\(24\) 45.3171 13.9734i 1.88821 0.582226i
\(25\) −12.9824 8.67458i −0.519297 0.346983i
\(26\) −22.0180 + 18.1260i −0.846848 + 0.697153i
\(27\) 47.8926 + 89.6007i 1.77380 + 3.31854i
\(28\) −27.7112 18.3941i −0.989687 0.656932i
\(29\) −4.29136 + 43.5709i −0.147978 + 1.50244i 0.578742 + 0.815510i \(0.303544\pi\)
−0.726720 + 0.686934i \(0.758956\pi\)
\(30\) −25.7226 25.6443i −0.857421 0.854810i
\(31\) −3.65193 3.65193i −0.117804 0.117804i 0.645747 0.763551i \(-0.276546\pi\)
−0.763551 + 0.645747i \(0.776546\pi\)
\(32\) 29.4700 12.4708i 0.920936 0.389714i
\(33\) 46.0606 + 46.0606i 1.39577 + 1.39577i
\(34\) 7.69506 0.0117301i 0.226325 0.000345003i
\(35\) −2.49697 + 25.3522i −0.0713421 + 0.724348i
\(36\) 58.3531 + 86.7578i 1.62092 + 2.40994i
\(37\) −2.69382 5.03978i −0.0728058 0.136210i 0.842885 0.538094i \(-0.180856\pi\)
−0.915691 + 0.401884i \(0.868356\pi\)
\(38\) −50.3969 4.88611i −1.32623 0.128582i
\(39\) −70.2828 46.9615i −1.80212 1.20414i
\(40\) −19.0170 15.4618i −0.475425 0.386546i
\(41\) −9.19436 + 6.14347i −0.224253 + 0.149841i −0.662622 0.748954i \(-0.730556\pi\)
0.438369 + 0.898795i \(0.355556\pi\)
\(42\) 28.4727 94.3795i 0.677921 2.24713i
\(43\) −15.0029 12.3125i −0.348904 0.286338i 0.443575 0.896237i \(-0.353710\pi\)
−0.792479 + 0.609899i \(0.791210\pi\)
\(44\) 34.0626 + 27.7811i 0.774150 + 0.631389i
\(45\) 37.7503 70.6258i 0.838896 1.56946i
\(46\) 9.84643 + 6.55748i 0.214053 + 0.142554i
\(47\) 5.26886 12.7202i 0.112104 0.270642i −0.857864 0.513877i \(-0.828209\pi\)
0.969967 + 0.243235i \(0.0782087\pi\)
\(48\) 60.6150 + 72.9480i 1.26281 + 1.51975i
\(49\) −18.6078 + 7.70761i −0.379751 + 0.157298i
\(50\) 6.04552 30.6369i 0.120910 0.612738i
\(51\) 6.62066 + 21.8254i 0.129817 + 0.427949i
\(52\) −50.3851 26.7342i −0.968945 0.514120i
\(53\) 5.71094 + 57.9841i 0.107754 + 1.09404i 0.885238 + 0.465138i \(0.153995\pi\)
−0.777484 + 0.628902i \(0.783505\pi\)
\(54\) −128.666 + 157.268i −2.38270 + 2.91236i
\(55\) 6.56794 33.0193i 0.119417 0.600350i
\(56\) 12.6791 65.3013i 0.226412 1.16609i
\(57\) −29.2777 147.189i −0.513643 2.58226i
\(58\) −83.7541 + 25.5460i −1.44404 + 0.440449i
\(59\) −4.19109 1.27135i −0.0710355 0.0215484i 0.254567 0.967055i \(-0.418067\pi\)
−0.325602 + 0.945507i \(0.605567\pi\)
\(60\) 27.5949 67.1987i 0.459915 1.11998i
\(61\) −3.35677 + 2.75483i −0.0550290 + 0.0451611i −0.661506 0.749940i \(-0.730082\pi\)
0.606477 + 0.795101i \(0.292582\pi\)
\(62\) 3.93827 9.54897i 0.0635205 0.154016i
\(63\) 217.349 3.44998
\(64\) 45.6668 + 44.8390i 0.713544 + 0.700610i
\(65\) 43.6870i 0.672107i
\(66\) −49.6721 + 120.438i −0.752607 + 1.82482i
\(67\) −25.1814 30.6837i −0.375842 0.457965i 0.550396 0.834904i \(-0.314477\pi\)
−0.926238 + 0.376939i \(0.876977\pi\)
\(68\) 5.93287 + 14.2006i 0.0872481 + 0.208832i
\(69\) −10.1784 + 33.5537i −0.147513 + 0.486286i
\(70\) −48.7332 + 14.8642i −0.696189 + 0.212346i
\(71\) 74.3921 14.7975i 1.04778 0.208416i 0.358961 0.933353i \(-0.383131\pi\)
0.688815 + 0.724937i \(0.258131\pi\)
\(72\) −115.380 + 174.400i −1.60250 + 2.42222i
\(73\) 92.4198 + 18.3834i 1.26602 + 0.251828i 0.782029 0.623242i \(-0.214185\pi\)
0.483996 + 0.875070i \(0.339185\pi\)
\(74\) 7.23706 8.84584i 0.0977981 0.119538i
\(75\) 92.1103 9.07207i 1.22814 0.120961i
\(76\) −29.6914 96.8159i −0.390676 1.27389i
\(77\) 87.4383 26.5241i 1.13556 0.344469i
\(78\) 32.7286 165.858i 0.419597 2.12639i
\(79\) 27.8922 + 67.3377i 0.353065 + 0.852375i 0.996238 + 0.0866545i \(0.0276176\pi\)
−0.643173 + 0.765721i \(0.722382\pi\)
\(80\) 13.9432 46.9941i 0.174290 0.587426i
\(81\) −339.062 140.444i −4.18595 1.73388i
\(82\) −18.4074 12.2589i −0.224481 0.149499i
\(83\) 34.6876 + 18.5409i 0.417923 + 0.223384i 0.666935 0.745116i \(-0.267606\pi\)
−0.249012 + 0.968500i \(0.580106\pi\)
\(84\) 196.153 19.9233i 2.33515 0.237183i
\(85\) 7.47799 9.11196i 0.0879764 0.107200i
\(86\) 11.2113 37.1625i 0.130364 0.432122i
\(87\) −144.187 215.791i −1.65732 2.48036i
\(88\) −25.1340 + 84.2406i −0.285614 + 0.957280i
\(89\) 18.4290 27.5809i 0.207067 0.309898i −0.713371 0.700787i \(-0.752832\pi\)
0.920438 + 0.390889i \(0.127832\pi\)
\(90\) 159.416 + 15.4558i 1.77129 + 0.171731i
\(91\) −104.570 + 55.8936i −1.14912 + 0.614215i
\(92\) −4.54513 + 23.2197i −0.0494036 + 0.252388i
\(93\) 30.4675 + 3.00078i 0.327607 + 0.0322665i
\(94\) 27.5364 0.0419755i 0.292940 0.000446548i
\(95\) −54.8447 + 54.8447i −0.577313 + 0.577313i
\(96\) −88.1417 + 167.969i −0.918143 + 1.74967i
\(97\) −42.7924 + 42.7924i −0.441159 + 0.441159i −0.892401 0.451242i \(-0.850981\pi\)
0.451242 + 0.892401i \(0.350981\pi\)
\(98\) −28.5270 28.4401i −0.291092 0.290206i
\(99\) −285.853 28.1541i −2.88740 0.284384i
\(100\) 61.2178 12.3711i 0.612178 0.123711i
\(101\) 115.632 61.8065i 1.14487 0.611946i 0.213833 0.976870i \(-0.431405\pi\)
0.931037 + 0.364925i \(0.118905\pi\)
\(102\) −35.2167 + 28.9915i −0.345262 + 0.284231i
\(103\) −99.8514 + 149.438i −0.969432 + 1.45086i −0.0783965 + 0.996922i \(0.524980\pi\)
−0.891035 + 0.453935i \(0.850020\pi\)
\(104\) 10.6622 113.578i 0.102521 1.09209i
\(105\) −83.8969 125.561i −0.799018 1.19581i
\(106\) −102.686 + 55.0882i −0.968735 + 0.519700i
\(107\) 5.23636 6.38052i 0.0489379 0.0596311i −0.747966 0.663737i \(-0.768970\pi\)
0.796904 + 0.604106i \(0.206470\pi\)
\(108\) −389.248 116.782i −3.60414 1.08132i
\(109\) −5.33687 2.85262i −0.0489621 0.0261708i 0.446734 0.894667i \(-0.352587\pi\)
−0.495696 + 0.868496i \(0.665087\pi\)
\(110\) 66.0184 13.2365i 0.600167 0.120332i
\(111\) 31.2962 + 12.9633i 0.281948 + 0.116787i
\(112\) 130.325 26.7503i 1.16361 0.238842i
\(113\) 81.9095 + 197.747i 0.724863 + 1.74997i 0.658996 + 0.752146i \(0.270981\pi\)
0.0658672 + 0.997828i \(0.479019\pi\)
\(114\) 249.307 167.132i 2.18690 1.46607i
\(115\) 17.3416 5.26052i 0.150797 0.0457437i
\(116\) −111.511 135.036i −0.961306 1.16410i
\(117\) 370.938 36.5342i 3.17041 0.312258i
\(118\) −0.871855 8.71587i −0.00738860 0.0738633i
\(119\) 31.3779 + 6.24145i 0.263680 + 0.0524492i
\(120\) 145.286 0.664413i 1.21072 0.00553677i
\(121\) 0.242114 0.0481594i 0.00200094 0.000398012i
\(122\) −7.66565 4.08236i −0.0628332 0.0334620i
\(123\) 19.0280 62.7270i 0.154699 0.509976i
\(124\) 20.6583 0.0629819i 0.166600 0.000507919i
\(125\) −78.9363 96.1841i −0.631490 0.769473i
\(126\) 166.964 + 401.354i 1.32511 + 3.18535i
\(127\) 101.052i 0.795681i −0.917455 0.397841i \(-0.869760\pi\)
0.917455 0.397841i \(-0.130240\pi\)
\(128\) −47.7189 + 118.773i −0.372804 + 0.927910i
\(129\) 115.049 0.891856
\(130\) −80.6719 + 33.5596i −0.620553 + 0.258150i
\(131\) 19.8150 16.2617i 0.151259 0.124135i −0.555720 0.831370i \(-0.687557\pi\)
0.706979 + 0.707234i \(0.250057\pi\)
\(132\) −260.557 + 0.794370i −1.97391 + 0.00601795i
\(133\) −201.446 61.1079i −1.51463 0.459458i
\(134\) 37.3162 70.0704i 0.278479 0.522914i
\(135\) 60.7242 + 305.281i 0.449809 + 2.26134i
\(136\) −21.6652 + 21.8642i −0.159303 + 0.160766i
\(137\) −46.3671 + 233.103i −0.338446 + 1.70148i 0.318814 + 0.947817i \(0.396715\pi\)
−0.657260 + 0.753664i \(0.728285\pi\)
\(138\) −69.7788 + 6.98003i −0.505644 + 0.0505799i
\(139\) −9.63742 97.8504i −0.0693339 0.703959i −0.965528 0.260298i \(-0.916179\pi\)
0.896194 0.443662i \(-0.146321\pi\)
\(140\) −64.8842 78.5719i −0.463458 0.561228i
\(141\) 23.6917 + 78.1011i 0.168026 + 0.553909i
\(142\) 84.4716 + 126.004i 0.594871 + 0.887355i
\(143\) 144.768 59.9648i 1.01236 0.419334i
\(144\) −410.679 79.0890i −2.85193 0.549229i
\(145\) −51.3306 + 123.923i −0.354004 + 0.854642i
\(146\) 37.0486 + 184.783i 0.253757 + 1.26564i
\(147\) 56.2810 105.294i 0.382864 0.716287i
\(148\) 21.8940 + 6.56866i 0.147933 + 0.0443828i
\(149\) 102.757 + 84.3303i 0.689643 + 0.565975i 0.912600 0.408853i \(-0.134071\pi\)
−0.222958 + 0.974828i \(0.571571\pi\)
\(150\) 87.5099 + 163.121i 0.583400 + 1.08747i
\(151\) 72.5244 48.4592i 0.480294 0.320922i −0.291746 0.956496i \(-0.594236\pi\)
0.772040 + 0.635574i \(0.219236\pi\)
\(152\) 155.971 129.200i 1.02612 0.850001i
\(153\) −83.6216 55.8742i −0.546546 0.365191i
\(154\) 116.148 + 141.087i 0.754206 + 0.916152i
\(155\) −7.45879 13.9544i −0.0481212 0.0900285i
\(156\) 331.414 66.9734i 2.12445 0.429317i
\(157\) −2.93506 + 29.8001i −0.0186946 + 0.189810i −0.999996 0.00266550i \(-0.999152\pi\)
0.981302 + 0.192475i \(0.0616515\pi\)
\(158\) −102.919 + 103.233i −0.651385 + 0.653374i
\(159\) −244.222 244.222i −1.53599 1.53599i
\(160\) 97.4898 10.3527i 0.609311 0.0647046i
\(161\) 34.7787 + 34.7787i 0.216017 + 0.216017i
\(162\) −1.11888 733.996i −0.00690666 4.53084i
\(163\) −9.49281 + 96.3822i −0.0582381 + 0.591302i 0.921135 + 0.389243i \(0.127263\pi\)
−0.979373 + 0.202059i \(0.935237\pi\)
\(164\) 8.49690 43.4080i 0.0518104 0.264683i
\(165\) 94.0752 + 176.002i 0.570152 + 1.06668i
\(166\) −7.59105 + 78.2966i −0.0457292 + 0.471666i
\(167\) 35.1388 + 23.4790i 0.210412 + 0.140593i 0.656311 0.754491i \(-0.272116\pi\)
−0.445899 + 0.895083i \(0.647116\pi\)
\(168\) 187.471 + 346.909i 1.11590 + 2.06493i
\(169\) −28.5497 + 19.0763i −0.168933 + 0.112878i
\(170\) 22.5705 + 6.80914i 0.132768 + 0.0400538i
\(171\) 511.541 + 419.811i 2.99147 + 2.45504i
\(172\) 77.2361 7.84492i 0.449047 0.0456100i
\(173\) 96.5119 180.561i 0.557872 1.04371i −0.432017 0.901865i \(-0.642198\pi\)
0.989890 0.141840i \(-0.0453019\pi\)
\(174\) 287.716 432.022i 1.65354 2.48288i
\(175\) 49.6840 119.948i 0.283909 0.685416i
\(176\) −174.865 + 18.3000i −0.993554 + 0.103977i
\(177\) 23.9857 9.93521i 0.135513 0.0561312i
\(178\) 65.0874 + 12.8436i 0.365659 + 0.0721549i
\(179\) −35.7571 117.875i −0.199760 0.658521i −0.998391 0.0567003i \(-0.981942\pi\)
0.798631 0.601821i \(-0.205558\pi\)
\(180\) 93.9202 + 306.249i 0.521779 + 1.70138i
\(181\) 22.4126 + 227.559i 0.123827 + 1.25723i 0.833428 + 0.552628i \(0.186375\pi\)
−0.709601 + 0.704603i \(0.751125\pi\)
\(182\) −183.541 150.161i −1.00847 0.825058i
\(183\) 5.02188 25.2467i 0.0274420 0.137960i
\(184\) −46.3687 + 9.44395i −0.252004 + 0.0513258i
\(185\) −3.41555 17.1712i −0.0184625 0.0928170i
\(186\) 17.8634 + 58.5661i 0.0960396 + 0.314871i
\(187\) −40.4591 12.2731i −0.216359 0.0656318i
\(188\) 21.2305 + 50.8162i 0.112928 + 0.270299i
\(189\) −653.032 + 535.930i −3.45520 + 2.83561i
\(190\) −143.406 59.1450i −0.754771 0.311289i
\(191\) −63.5300 −0.332618 −0.166309 0.986074i \(-0.553185\pi\)
−0.166309 + 0.986074i \(0.553185\pi\)
\(192\) −377.878 33.7311i −1.96811 0.175683i
\(193\) 144.477i 0.748583i −0.927311 0.374292i \(-0.877886\pi\)
0.927311 0.374292i \(-0.122114\pi\)
\(194\) −111.892 46.1477i −0.576765 0.237875i
\(195\) −164.288 200.185i −0.842502 1.02659i
\(196\) 30.6034 74.5249i 0.156140 0.380229i
\(197\) 99.4172 327.734i 0.504656 1.66363i −0.220770 0.975326i \(-0.570857\pi\)
0.725425 0.688301i \(-0.241643\pi\)
\(198\) −167.598 549.481i −0.846456 2.77515i
\(199\) 199.067 39.5968i 1.00033 0.198979i 0.332352 0.943156i \(-0.392158\pi\)
0.667983 + 0.744177i \(0.267158\pi\)
\(200\) 69.8709 + 103.541i 0.349354 + 0.517705i
\(201\) 230.776 + 45.9042i 1.14814 + 0.228379i
\(202\) 202.958 + 166.046i 1.00474 + 0.822010i
\(203\) −362.296 + 35.6831i −1.78471 + 0.175779i
\(204\) −80.5884 42.7600i −0.395041 0.209608i
\(205\) −32.4193 + 9.83429i −0.158143 + 0.0479722i
\(206\) −352.655 69.5888i −1.71192 0.337810i
\(207\) −59.1684 142.845i −0.285838 0.690073i
\(208\) 217.922 67.5596i 1.04770 0.324806i
\(209\) 257.022 + 106.462i 1.22977 + 0.509387i
\(210\) 167.411 251.377i 0.797194 1.19703i
\(211\) −164.628 87.9956i −0.780228 0.417041i 0.0326555 0.999467i \(-0.489604\pi\)
−0.812884 + 0.582426i \(0.802104\pi\)
\(212\) −180.607 147.301i −0.851919 0.694816i
\(213\) −285.237 + 347.563i −1.33914 + 1.63175i
\(214\) 15.8047 + 4.76800i 0.0738537 + 0.0222804i
\(215\) −33.0349 49.4402i −0.153651 0.229954i
\(216\) −83.3643 808.491i −0.385946 3.74301i
\(217\) 23.8586 35.7069i 0.109947 0.164548i
\(218\) 1.16792 12.0463i 0.00535744 0.0552584i
\(219\) −492.624 + 263.313i −2.24943 + 1.20234i
\(220\) 75.1566 + 111.741i 0.341621 + 0.507913i
\(221\) 54.6001 + 5.37764i 0.247059 + 0.0243332i
\(222\) 0.103275 + 67.7495i 0.000465203 + 0.305178i
\(223\) 309.448 309.448i 1.38766 1.38766i 0.557450 0.830210i \(-0.311780\pi\)
0.830210 0.557450i \(-0.188220\pi\)
\(224\) 149.510 + 220.107i 0.667455 + 0.982621i
\(225\) −288.592 + 288.592i −1.28263 + 1.28263i
\(226\) −302.236 + 303.159i −1.33733 + 1.34141i
\(227\) 129.968 + 12.8008i 0.572548 + 0.0563911i 0.380148 0.924926i \(-0.375873\pi\)
0.192400 + 0.981317i \(0.438373\pi\)
\(228\) 500.137 + 331.980i 2.19358 + 1.45605i
\(229\) −291.392 + 155.752i −1.27245 + 0.680141i −0.962673 0.270667i \(-0.912756\pi\)
−0.309781 + 0.950808i \(0.600256\pi\)
\(230\) 23.0356 + 27.9818i 0.100155 + 0.121660i
\(231\) −300.920 + 450.358i −1.30268 + 1.94960i
\(232\) 163.694 309.648i 0.705578 1.33469i
\(233\) −64.0464 95.8523i −0.274877 0.411383i 0.668187 0.743993i \(-0.267071\pi\)
−0.943064 + 0.332610i \(0.892071\pi\)
\(234\) 352.412 + 656.905i 1.50603 + 2.80729i
\(235\) 26.7596 32.6067i 0.113871 0.138752i
\(236\) 15.4249 8.30534i 0.0653597 0.0351921i
\(237\) −381.037 203.669i −1.60775 0.859361i
\(238\) 12.5786 + 62.7367i 0.0528511 + 0.263600i
\(239\) −96.4957 39.9698i −0.403748 0.167238i 0.171562 0.985173i \(-0.445119\pi\)
−0.575310 + 0.817935i \(0.695119\pi\)
\(240\) 112.833 + 267.774i 0.470139 + 1.11572i
\(241\) −104.960 253.396i −0.435519 1.05144i −0.977479 0.211032i \(-0.932317\pi\)
0.541960 0.840405i \(-0.317683\pi\)
\(242\) 0.274918 + 0.410089i 0.00113603 + 0.00169458i
\(243\) 1206.82 366.085i 4.96634 1.50652i
\(244\) 1.64983 17.2913i 0.00676162 0.0708661i
\(245\) −61.4084 + 6.04820i −0.250647 + 0.0246865i
\(246\) 130.448 13.0488i 0.530277 0.0530440i
\(247\) −354.068 70.4286i −1.43348 0.285136i
\(248\) 15.9857 + 38.0991i 0.0644584 + 0.153625i
\(249\) −228.672 + 45.4857i −0.918362 + 0.182674i
\(250\) 116.975 219.650i 0.467901 0.878600i
\(251\) −19.1516 + 63.1343i −0.0763012 + 0.251531i −0.986791 0.162001i \(-0.948205\pi\)
0.910489 + 0.413532i \(0.135705\pi\)
\(252\) −612.878 + 616.627i −2.43206 + 2.44693i
\(253\) −41.2352 50.2453i −0.162985 0.198598i
\(254\) 186.601 77.6260i 0.734649 0.305614i
\(255\) 69.8750i 0.274019i
\(256\) −255.981 + 3.12182i −0.999926 + 0.0121946i
\(257\) 162.157 0.630961 0.315480 0.948932i \(-0.397834\pi\)
0.315480 + 0.948932i \(0.397834\pi\)
\(258\) 88.3789 + 212.449i 0.342554 + 0.823446i
\(259\) 36.7311 30.1445i 0.141819 0.116388i
\(260\) −123.942 123.188i −0.476698 0.473800i
\(261\) 1095.13 + 332.205i 4.19592 + 1.27282i
\(262\) 45.2503 + 24.0982i 0.172711 + 0.0919778i
\(263\) −69.5950 349.878i −0.264620 1.33033i −0.853068 0.521799i \(-0.825261\pi\)
0.588448 0.808535i \(-0.299739\pi\)
\(264\) −201.622 480.531i −0.763720 1.82019i
\(265\) −34.8245 + 175.075i −0.131413 + 0.660660i
\(266\) −41.9059 418.930i −0.157541 1.57492i
\(267\) 19.2734 + 195.686i 0.0721851 + 0.732908i
\(268\) 158.057 + 15.0809i 0.589765 + 0.0562718i
\(269\) −108.254 356.867i −0.402433 1.32664i −0.890955 0.454091i \(-0.849964\pi\)
0.488523 0.872551i \(-0.337536\pi\)
\(270\) −517.082 + 346.644i −1.91512 + 1.28387i
\(271\) 85.4298 35.3862i 0.315239 0.130576i −0.219453 0.975623i \(-0.570427\pi\)
0.534693 + 0.845047i \(0.320427\pi\)
\(272\) −57.0171 23.2110i −0.209622 0.0853345i
\(273\) 268.974 649.360i 0.985252 2.37861i
\(274\) −466.064 + 93.4447i −1.70096 + 0.341039i
\(275\) −80.8808 + 151.317i −0.294112 + 0.550245i
\(276\) −66.4921 123.491i −0.240914 0.447431i
\(277\) −234.433 192.395i −0.846330 0.694565i 0.107730 0.994180i \(-0.465642\pi\)
−0.954060 + 0.299615i \(0.903142\pi\)
\(278\) 173.286 92.9633i 0.623332 0.334400i
\(279\) −112.247 + 75.0009i −0.402318 + 0.268820i
\(280\) 95.2472 180.172i 0.340169 0.643472i
\(281\) 300.196 + 200.585i 1.06831 + 0.713825i 0.959917 0.280283i \(-0.0904283\pi\)
0.108397 + 0.994108i \(0.465428\pi\)
\(282\) −126.021 + 103.745i −0.446884 + 0.367889i
\(283\) −109.522 204.902i −0.387005 0.724035i 0.610692 0.791868i \(-0.290891\pi\)
−0.997697 + 0.0678332i \(0.978391\pi\)
\(284\) −167.789 + 252.779i −0.590806 + 0.890067i
\(285\) 45.0658 457.560i 0.158126 1.60548i
\(286\) 221.939 + 221.263i 0.776009 + 0.773647i
\(287\) −65.0171 65.0171i −0.226540 0.226540i
\(288\) −169.431 819.110i −0.588303 2.84413i
\(289\) 193.886 + 193.886i 0.670886 + 0.670886i
\(290\) −268.266 + 0.408936i −0.925057 + 0.00141013i
\(291\) 35.1624 357.010i 0.120833 1.22684i
\(292\) −312.759 + 210.361i −1.07109 + 0.720414i
\(293\) 115.984 + 216.991i 0.395850 + 0.740584i 0.998343 0.0575403i \(-0.0183258\pi\)
−0.602493 + 0.798124i \(0.705826\pi\)
\(294\) 237.669 + 23.0426i 0.808399 + 0.0783763i
\(295\) −11.1566 7.45462i −0.0378191 0.0252699i
\(296\) 4.68899 + 45.4752i 0.0158412 + 0.153633i
\(297\) 928.276 620.254i 3.12551 2.08840i
\(298\) −76.7875 + 254.531i −0.257676 + 0.854130i
\(299\) 65.2009 + 53.5090i 0.218063 + 0.178960i
\(300\) −233.994 + 286.902i −0.779980 + 0.956339i
\(301\) 76.0753 142.327i 0.252742 0.472847i
\(302\) 145.196 + 96.6973i 0.480782 + 0.320190i
\(303\) −297.428 + 718.055i −0.981611 + 2.36982i
\(304\) 358.394 + 188.765i 1.17893 + 0.620937i
\(305\) −12.2912 + 5.09120i −0.0402991 + 0.0166924i
\(306\) 38.9400 197.336i 0.127255 0.644890i
\(307\) 141.162 + 465.349i 0.459811 + 1.51580i 0.814137 + 0.580673i \(0.197211\pi\)
−0.354325 + 0.935122i \(0.615289\pi\)
\(308\) −171.308 + 322.858i −0.556194 + 1.04824i
\(309\) −104.427 1060.26i −0.337951 3.43128i
\(310\) 20.0384 24.4929i 0.0646399 0.0790092i
\(311\) −56.8589 + 285.849i −0.182826 + 0.919129i 0.775040 + 0.631913i \(0.217730\pi\)
−0.957866 + 0.287216i \(0.907270\pi\)
\(312\) 378.259 + 560.538i 1.21237 + 1.79660i
\(313\) 5.75880 + 28.9514i 0.0183987 + 0.0924966i 0.988894 0.148625i \(-0.0474847\pi\)
−0.970495 + 0.241122i \(0.922485\pi\)
\(314\) −57.2833 + 17.4721i −0.182431 + 0.0556436i
\(315\) 637.216 + 193.297i 2.02291 + 0.613642i
\(316\) −269.690 110.747i −0.853448 0.350465i
\(317\) −175.313 + 143.876i −0.553038 + 0.453867i −0.868935 0.494927i \(-0.835195\pi\)
0.315896 + 0.948794i \(0.397695\pi\)
\(318\) 263.371 638.586i 0.828212 2.00813i
\(319\) 481.107 1.50817
\(320\) 94.0072 + 172.071i 0.293773 + 0.537721i
\(321\) 48.9289i 0.152427i
\(322\) −37.5056 + 90.9384i −0.116477 + 0.282417i
\(323\) 61.7940 + 75.2963i 0.191313 + 0.233115i
\(324\) 1354.53 565.909i 4.18065 1.74663i
\(325\) 64.6311 213.060i 0.198865 0.655569i
\(326\) −185.271 + 56.5098i −0.568315 + 0.173343i
\(327\) 35.1824 6.99822i 0.107591 0.0214013i
\(328\) 86.6840 17.6550i 0.264281 0.0538262i
\(329\) 112.284 + 22.3347i 0.341290 + 0.0678867i
\(330\) −252.737 + 308.920i −0.765870 + 0.936122i
\(331\) −272.179 + 26.8073i −0.822293 + 0.0809888i −0.500408 0.865790i \(-0.666817\pi\)
−0.321885 + 0.946779i \(0.604317\pi\)
\(332\) −150.413 + 46.1285i −0.453051 + 0.138941i
\(333\) −142.941 + 43.3606i −0.429251 + 0.130212i
\(334\) −16.3630 + 82.9230i −0.0489912 + 0.248273i
\(335\) −46.5378 112.352i −0.138919 0.335379i
\(336\) −496.586 + 612.672i −1.47793 + 1.82343i
\(337\) −374.513 155.128i −1.11131 0.460321i −0.249924 0.968265i \(-0.580406\pi\)
−0.861390 + 0.507944i \(0.830406\pi\)
\(338\) −57.1575 38.0655i −0.169105 0.112620i
\(339\) −1118.97 598.104i −3.30081 1.76432i
\(340\) 4.76460 + 46.9092i 0.0140135 + 0.137968i
\(341\) −36.0036 + 43.8705i −0.105582 + 0.128652i
\(342\) −382.262 + 1267.10i −1.11772 + 3.70497i
\(343\) 133.318 + 199.524i 0.388682 + 0.581704i
\(344\) 73.8178 + 136.597i 0.214587 + 0.397085i
\(345\) −59.6814 + 89.3195i −0.172989 + 0.258897i
\(346\) 407.561 + 39.5141i 1.17792 + 0.114202i
\(347\) 476.707 254.805i 1.37380 0.734309i 0.391242 0.920288i \(-0.372046\pi\)
0.982554 + 0.185979i \(0.0595456\pi\)
\(348\) 1018.79 + 199.422i 2.92754 + 0.573052i
\(349\) −133.647 13.1631i −0.382943 0.0377166i −0.0952857 0.995450i \(-0.530376\pi\)
−0.287658 + 0.957733i \(0.592876\pi\)
\(350\) 259.661 0.395819i 0.741888 0.00113091i
\(351\) −1024.41 + 1024.41i −2.91855 + 2.91855i
\(352\) −168.121 308.847i −0.477617 0.877406i
\(353\) −220.424 + 220.424i −0.624430 + 0.624430i −0.946661 0.322231i \(-0.895567\pi\)
0.322231 + 0.946661i \(0.395567\pi\)
\(354\) 36.7717 + 36.6598i 0.103875 + 0.103559i
\(355\) 231.260 + 22.7771i 0.651437 + 0.0641609i
\(356\) 26.2822 + 130.056i 0.0738264 + 0.365326i
\(357\) −167.253 + 89.3988i −0.468497 + 0.250417i
\(358\) 190.199 156.578i 0.531283 0.437370i
\(359\) −121.402 + 181.692i −0.338168 + 0.506105i −0.961111 0.276163i \(-0.910937\pi\)
0.622943 + 0.782268i \(0.285937\pi\)
\(360\) −493.369 + 408.687i −1.37047 + 1.13524i
\(361\) −155.521 232.754i −0.430807 0.644748i
\(362\) −402.991 + 216.194i −1.11324 + 0.597220i
\(363\) −0.928323 + 1.13116i −0.00255736 + 0.00311616i
\(364\) 136.292 454.276i 0.374429 1.24801i
\(365\) 254.604 + 136.089i 0.697545 + 0.372845i
\(366\) 50.4781 10.1207i 0.137918 0.0276523i
\(367\) 617.439 + 255.751i 1.68239 + 0.696871i 0.999436 0.0335866i \(-0.0106930\pi\)
0.682959 + 0.730457i \(0.260693\pi\)
\(368\) −53.0587 78.3693i −0.144181 0.212960i
\(369\) 110.613 + 267.042i 0.299763 + 0.723692i
\(370\) 29.0843 19.4977i 0.0786063 0.0526965i
\(371\) −463.616 + 140.636i −1.24964 + 0.379073i
\(372\) −94.4252 + 77.9757i −0.253831 + 0.209612i
\(373\) −194.744 + 19.1806i −0.522101 + 0.0514224i −0.355635 0.934625i \(-0.615735\pi\)
−0.166465 + 0.986047i \(0.553235\pi\)
\(374\) −8.41653 84.1394i −0.0225041 0.224972i
\(375\) 723.414 + 143.896i 1.92910 + 0.383723i
\(376\) −77.5278 + 78.2401i −0.206191 + 0.208085i
\(377\) −612.314 + 121.797i −1.62418 + 0.323069i
\(378\) −1491.29 794.191i −3.94521 2.10103i
\(379\) 126.690 417.641i 0.334274 1.10196i −0.615268 0.788318i \(-0.710952\pi\)
0.949543 0.313638i \(-0.101548\pi\)
\(380\) −0.945863 310.247i −0.00248911 0.816440i
\(381\) 380.011 + 463.045i 0.997405 + 1.21534i
\(382\) −48.8027 117.314i −0.127756 0.307104i
\(383\) 149.688i 0.390830i 0.980721 + 0.195415i \(0.0626053\pi\)
−0.980721 + 0.195415i \(0.937395\pi\)
\(384\) −227.992 723.697i −0.593729 1.88463i
\(385\) 279.937 0.727110
\(386\) 266.789 110.984i 0.691163 0.287524i
\(387\) −392.161 + 321.838i −1.01334 + 0.831623i
\(388\) −0.738007 242.069i −0.00190208 0.623890i
\(389\) 123.991 + 37.6122i 0.318742 + 0.0966894i 0.445602 0.895231i \(-0.352990\pi\)
−0.126860 + 0.991921i \(0.540490\pi\)
\(390\) 243.457 457.151i 0.624249 1.17218i
\(391\) −4.43996 22.3212i −0.0113554 0.0570874i
\(392\) 161.126 0.736849i 0.411035 0.00187972i
\(393\) −29.6442 + 149.031i −0.0754304 + 0.379214i
\(394\) 681.562 68.1772i 1.72985 0.173039i
\(395\) 21.8871 + 222.224i 0.0554105 + 0.562592i
\(396\) 885.920 731.587i 2.23717 1.84744i
\(397\) −137.837 454.388i −0.347197 1.14455i −0.940562 0.339621i \(-0.889701\pi\)
0.593365 0.804933i \(-0.297799\pi\)
\(398\) 226.039 + 337.177i 0.567936 + 0.847178i
\(399\) 1152.88 477.538i 2.88942 1.19684i
\(400\) −137.524 + 208.561i −0.343810 + 0.521403i
\(401\) 84.1204 203.085i 0.209777 0.506446i −0.783611 0.621251i \(-0.786625\pi\)
0.993388 + 0.114806i \(0.0366246\pi\)
\(402\) 92.5119 + 461.411i 0.230129 + 1.14779i
\(403\) 34.7162 64.9494i 0.0861443 0.161165i
\(404\) −150.710 + 502.333i −0.373045 + 1.24340i
\(405\) −869.148 713.291i −2.14604 1.76121i
\(406\) −344.202 641.602i −0.847788 1.58030i
\(407\) −52.2128 + 34.8875i −0.128287 + 0.0857186i
\(408\) 17.0536 181.661i 0.0417981 0.445248i
\(409\) −493.959 330.053i −1.20772 0.806975i −0.221951 0.975058i \(-0.571242\pi\)
−0.985773 + 0.168083i \(0.946242\pi\)
\(410\) −43.0639 52.3107i −0.105034 0.127587i
\(411\) −664.133 1242.51i −1.61590 3.02313i
\(412\) −142.402 704.667i −0.345635 1.71036i
\(413\) 3.56954 36.2421i 0.00864295 0.0877534i
\(414\) 218.324 218.991i 0.527354 0.528964i
\(415\) 85.2067 + 85.2067i 0.205317 + 0.205317i
\(416\) 292.158 + 350.514i 0.702304 + 0.842581i
\(417\) 412.134 + 412.134i 0.988331 + 0.988331i
\(418\) 0.848152 + 556.396i 0.00202907 + 1.33109i
\(419\) −65.4068 + 664.087i −0.156102 + 1.58493i 0.523937 + 0.851757i \(0.324463\pi\)
−0.680039 + 0.733176i \(0.738037\pi\)
\(420\) 592.792 + 116.036i 1.41141 + 0.276276i
\(421\) −66.9770 125.305i −0.159090 0.297637i 0.789729 0.613455i \(-0.210221\pi\)
−0.948820 + 0.315818i \(0.897721\pi\)
\(422\) 36.0273 371.597i 0.0853727 0.880563i
\(423\) −299.236 199.943i −0.707413 0.472678i
\(424\) 133.266 446.661i 0.314306 1.05345i
\(425\) −49.9503 + 33.3757i −0.117530 + 0.0785312i
\(426\) −860.920 259.725i −2.02094 0.609683i
\(427\) −27.9119 22.9067i −0.0653674 0.0536456i
\(428\) 3.33634 + 32.8475i 0.00779519 + 0.0767465i
\(429\) −437.863 + 819.184i −1.02066 + 1.90952i
\(430\) 65.9189 98.9809i 0.153300 0.230188i
\(431\) 181.772 438.835i 0.421744 1.01818i −0.560089 0.828432i \(-0.689233\pi\)
0.981833 0.189747i \(-0.0607669\pi\)
\(432\) 1428.91 775.008i 3.30767 1.79400i
\(433\) 110.851 45.9162i 0.256008 0.106042i −0.250989 0.967990i \(-0.580756\pi\)
0.506997 + 0.861948i \(0.330756\pi\)
\(434\) 84.2637 + 16.6276i 0.194156 + 0.0383124i
\(435\) −230.811 760.881i −0.530599 1.74915i
\(436\) 23.1418 7.09711i 0.0530776 0.0162778i
\(437\) 14.6780 + 149.029i 0.0335882 + 0.341027i
\(438\) −864.657 707.402i −1.97410 1.61507i
\(439\) −66.4940 + 334.288i −0.151467 + 0.761476i 0.828135 + 0.560529i \(0.189402\pi\)
−0.979602 + 0.200947i \(0.935598\pi\)
\(440\) −148.606 + 224.621i −0.337740 + 0.510502i
\(441\) 102.708 + 516.349i 0.232899 + 1.17086i
\(442\) 32.0126 + 104.955i 0.0724266 + 0.237455i
\(443\) 145.126 + 44.0236i 0.327599 + 0.0993760i 0.449800 0.893129i \(-0.351495\pi\)
−0.122201 + 0.992505i \(0.538995\pi\)
\(444\) −125.026 + 52.2347i −0.281590 + 0.117646i
\(445\) 78.5582 64.4710i 0.176535 0.144879i
\(446\) 809.137 + 333.711i 1.81421 + 0.748232i
\(447\) −787.989 −1.76284
\(448\) −291.597 + 445.166i −0.650885 + 0.993674i
\(449\) 260.786i 0.580816i 0.956903 + 0.290408i \(0.0937910\pi\)
−0.956903 + 0.290408i \(0.906209\pi\)
\(450\) −754.602 311.220i −1.67689 0.691599i
\(451\) 77.0873 + 93.9311i 0.170925 + 0.208273i
\(452\) −791.984 325.225i −1.75218 0.719525i
\(453\) −150.092 + 494.786i −0.331328 + 1.09224i
\(454\) 76.2017 + 249.832i 0.167845 + 0.550290i
\(455\) −356.282 + 70.8688i −0.783036 + 0.155756i
\(456\) −228.834 + 1178.57i −0.501829 + 2.58458i
\(457\) 155.327 + 30.8965i 0.339884 + 0.0676072i 0.362082 0.932146i \(-0.382066\pi\)
−0.0221973 + 0.999754i \(0.507066\pi\)
\(458\) −511.453 418.435i −1.11671 0.913614i
\(459\) 389.016 38.3148i 0.847530 0.0834744i
\(460\) −33.9754 + 64.0324i −0.0738597 + 0.139201i
\(461\) 485.393 147.242i 1.05291 0.319398i 0.284049 0.958810i \(-0.408322\pi\)
0.768864 + 0.639412i \(0.220822\pi\)
\(462\) −1062.79 209.718i −2.30041 0.453935i
\(463\) 197.684 + 477.250i 0.426962 + 1.03078i 0.980245 + 0.197785i \(0.0633748\pi\)
−0.553283 + 0.832993i \(0.686625\pi\)
\(464\) 697.540 + 64.4097i 1.50332 + 0.138814i
\(465\) 86.6547 + 35.8936i 0.186354 + 0.0771904i
\(466\) 127.800 191.900i 0.274250 0.411802i
\(467\) 510.310 + 272.766i 1.09274 + 0.584082i 0.916407 0.400248i \(-0.131076\pi\)
0.176334 + 0.984330i \(0.443576\pi\)
\(468\) −942.318 + 1155.38i −2.01350 + 2.46877i
\(469\) 209.386 255.138i 0.446452 0.544004i
\(470\) 80.7675 + 24.3662i 0.171846 + 0.0518429i
\(471\) −98.6163 147.590i −0.209376 0.313354i
\(472\) 27.1857 + 22.1034i 0.0575968 + 0.0468293i
\(473\) −118.489 + 177.331i −0.250505 + 0.374907i
\(474\) 83.3863 860.074i 0.175921 1.81450i
\(475\) 348.614 186.338i 0.733924 0.392291i
\(476\) −106.186 + 71.4207i −0.223081 + 0.150043i
\(477\) 1515.65 + 149.278i 3.17746 + 0.312953i
\(478\) −0.318428 208.892i −0.000666168 0.437013i
\(479\) −89.5579 + 89.5579i −0.186969 + 0.186969i −0.794384 0.607416i \(-0.792206\pi\)
0.607416 + 0.794384i \(0.292206\pi\)
\(480\) −407.792 + 414.056i −0.849567 + 0.862617i
\(481\) 57.6201 57.6201i 0.119792 0.119792i
\(482\) 387.291 388.473i 0.803507 0.805961i
\(483\) −290.153 28.5776i −0.600731 0.0591668i
\(484\) −0.546080 + 0.822685i −0.00112826 + 0.00169976i
\(485\) −163.514 + 87.4002i −0.337143 + 0.180207i
\(486\) 1603.07 + 1947.28i 3.29849 + 4.00676i
\(487\) 336.186 503.137i 0.690320 1.03314i −0.306376 0.951911i \(-0.599117\pi\)
0.996696 0.0812257i \(-0.0258835\pi\)
\(488\) 33.1974 10.2363i 0.0680274 0.0209761i
\(489\) −318.953 477.347i −0.652256 0.976170i
\(490\) −58.3414 108.750i −0.119064 0.221939i
\(491\) 341.983 416.707i 0.696503 0.848691i −0.297872 0.954606i \(-0.596277\pi\)
0.994375 + 0.105914i \(0.0337770\pi\)
\(492\) 124.304 + 230.860i 0.252650 + 0.469228i
\(493\) 148.561 + 79.4075i 0.301341 + 0.161070i
\(494\) −141.936 707.921i −0.287321 1.43304i
\(495\) −813.015 336.762i −1.64245 0.680327i
\(496\) −58.0735 + 58.7861i −0.117084 + 0.118520i
\(497\) 241.357 + 582.687i 0.485628 + 1.17241i
\(498\) −259.656 387.322i −0.521397 0.777756i
\(499\) 843.724 255.941i 1.69083 0.512907i 0.709412 0.704794i \(-0.248961\pi\)
0.981417 + 0.191887i \(0.0614606\pi\)
\(500\) 495.462 + 47.2740i 0.990924 + 0.0945480i
\(501\) −249.309 + 24.5548i −0.497624 + 0.0490116i
\(502\) −131.295 + 13.1336i −0.261544 + 0.0261625i
\(503\) 369.475 + 73.4932i 0.734543 + 0.146110i 0.548167 0.836369i \(-0.315326\pi\)
0.186376 + 0.982478i \(0.440326\pi\)
\(504\) −1609.46 658.053i −3.19337 1.30566i
\(505\) 393.972 78.3660i 0.780143 0.155180i
\(506\) 61.1062 114.742i 0.120763 0.226763i
\(507\) 59.0846 194.776i 0.116538 0.384173i
\(508\) 286.687 + 284.944i 0.564344 + 0.560914i
\(509\) −413.107 503.372i −0.811605 0.988944i −0.999977 0.00684609i \(-0.997821\pi\)
0.188371 0.982098i \(-0.439679\pi\)
\(510\) −129.030 + 53.6767i −0.253001 + 0.105248i
\(511\) 783.535i 1.53334i
\(512\) −202.405 470.294i −0.395322 0.918543i
\(513\) −2572.10 −5.01383
\(514\) 124.566 + 299.437i 0.242347 + 0.582563i
\(515\) −425.642 + 349.316i −0.826490 + 0.678283i
\(516\) −324.415 + 326.399i −0.628712 + 0.632557i
\(517\) −144.781 43.9188i −0.280041 0.0849494i
\(518\) 83.8807 + 44.6709i 0.161932 + 0.0862373i
\(519\) 236.769 + 1190.32i 0.456202 + 2.29348i
\(520\) 132.268 323.500i 0.254362 0.622116i
\(521\) 121.391 610.274i 0.232996 1.17135i −0.670219 0.742163i \(-0.733800\pi\)
0.903215 0.429188i \(-0.141200\pi\)
\(522\) 227.816 + 2277.46i 0.436429 + 4.36295i
\(523\) 76.1833 + 773.502i 0.145666 + 1.47897i 0.738831 + 0.673890i \(0.235378\pi\)
−0.593166 + 0.805081i \(0.702122\pi\)
\(524\) −9.73896 + 102.071i −0.0185858 + 0.194791i
\(525\) 223.407 + 736.473i 0.425537 + 1.40281i
\(526\) 592.619 397.284i 1.12665 0.755292i
\(527\) −18.3584 + 7.60431i −0.0348357 + 0.0144294i
\(528\) 732.462 741.449i 1.38724 1.40426i
\(529\) −189.050 + 456.407i −0.357373 + 0.862774i
\(530\) −350.043 + 70.1828i −0.660458 + 0.132420i
\(531\) −53.9658 + 100.963i −0.101631 + 0.190137i
\(532\) 741.400 399.198i 1.39361 0.750371i
\(533\) −121.890 100.033i −0.228687 0.187678i
\(534\) −346.547 + 185.913i −0.648964 + 0.348152i
\(535\) 21.0262 14.0493i 0.0393014 0.0262603i
\(536\) 93.5685 + 303.451i 0.174568 + 0.566141i
\(537\) 607.127 + 405.669i 1.13059 + 0.755436i
\(538\) 575.828 474.040i 1.07031 0.881116i
\(539\) 104.332 + 195.191i 0.193565 + 0.362135i
\(540\) −1037.32 688.552i −1.92097 1.27510i
\(541\) 55.0737 559.172i 0.101800 1.03359i −0.799580 0.600560i \(-0.794944\pi\)
0.901379 0.433030i \(-0.142556\pi\)
\(542\) 130.969 + 130.571i 0.241641 + 0.240905i
\(543\) −958.452 958.452i −1.76510 1.76510i
\(544\) −0.938399 123.117i −0.00172500 0.226319i
\(545\) −13.1095 13.1095i −0.0240541 0.0240541i
\(546\) 1405.72 2.14284i 2.57458 0.00392461i
\(547\) −64.3124 + 652.974i −0.117573 + 1.19374i 0.737543 + 0.675300i \(0.235986\pi\)
−0.855116 + 0.518437i \(0.826514\pi\)
\(548\) −530.576 788.847i −0.968205 1.43950i
\(549\) 53.5072 + 100.105i 0.0974630 + 0.182341i
\(550\) −341.552 33.1143i −0.621004 0.0602079i
\(551\) −921.605 615.797i −1.67260 1.11760i
\(552\) 176.959 217.647i 0.320578 0.394289i
\(553\) −503.914 + 336.705i −0.911237 + 0.608869i
\(554\) 175.186 580.697i 0.316221 1.04819i
\(555\) 80.2243 + 65.8384i 0.144548 + 0.118628i
\(556\) 304.781 + 248.576i 0.548167 + 0.447079i
\(557\) 209.021 391.050i 0.375262 0.702065i −0.621419 0.783479i \(-0.713443\pi\)
0.996680 + 0.0814136i \(0.0259435\pi\)
\(558\) −224.722 149.659i −0.402727 0.268207i
\(559\) 105.910 255.689i 0.189463 0.457405i
\(560\) 405.871 + 37.4775i 0.724770 + 0.0669241i
\(561\) 231.548 95.9105i 0.412742 0.170964i
\(562\) −139.792 + 708.425i −0.248741 + 1.26054i
\(563\) 88.1075 + 290.452i 0.156496 + 0.515900i 0.999767 0.0215898i \(-0.00687277\pi\)
−0.843270 + 0.537489i \(0.819373\pi\)
\(564\) −288.381 153.015i −0.511315 0.271302i
\(565\) 64.2748 + 652.594i 0.113761 + 1.15503i
\(566\) 294.237 359.645i 0.519853 0.635415i
\(567\) 595.343 2992.99i 1.04999 5.27865i
\(568\) −595.672 115.657i −1.04872 0.203622i
\(569\) −85.8454 431.574i −0.150871 0.758478i −0.979934 0.199323i \(-0.936126\pi\)
0.829063 0.559155i \(-0.188874\pi\)
\(570\) 879.545 268.272i 1.54306 0.470653i
\(571\) −899.842 272.964i −1.57590 0.478045i −0.623230 0.782038i \(-0.714180\pi\)
−0.952674 + 0.303993i \(0.901680\pi\)
\(572\) −238.093 + 579.800i −0.416246 + 1.01364i
\(573\) 291.111 238.909i 0.508048 0.416944i
\(574\) 70.1149 170.005i 0.122151 0.296176i
\(575\) −92.3571 −0.160621
\(576\) 1382.41 942.096i 2.40001 1.63558i
\(577\) 26.6149i 0.0461263i −0.999734 0.0230632i \(-0.992658\pi\)
0.999734 0.0230632i \(-0.00734189\pi\)
\(578\) −209.088 + 506.968i −0.361745 + 0.877108i
\(579\) 543.314 + 662.030i 0.938367 + 1.14340i
\(580\) −206.833 495.064i −0.356608 0.853559i
\(581\) −94.9372 + 312.966i −0.163403 + 0.538668i
\(582\) 686.262 209.318i 1.17915 0.359653i
\(583\) 627.955 124.908i 1.07711 0.214251i
\(584\) −628.706 415.942i −1.07655 0.712229i
\(585\) 1119.99 + 222.781i 1.91452 + 0.380821i
\(586\) −311.597 + 380.864i −0.531735 + 0.649939i
\(587\) −2.79792 + 0.275571i −0.00476647 + 0.000469457i −0.100400 0.994947i \(-0.532012\pi\)
0.0956336 + 0.995417i \(0.469512\pi\)
\(588\) 140.023 + 456.579i 0.238135 + 0.776495i
\(589\) 125.120 37.9549i 0.212429 0.0644395i
\(590\) 5.19530 26.3282i 0.00880560 0.0446241i
\(591\) 776.912 + 1875.63i 1.31457 + 3.17366i
\(592\) −80.3721 + 43.5919i −0.135764 + 0.0736350i
\(593\) 351.180 + 145.464i 0.592209 + 0.245301i 0.658601 0.752493i \(-0.271149\pi\)
−0.0663915 + 0.997794i \(0.521149\pi\)
\(594\) 1858.44 + 1237.68i 3.12869 + 2.08363i
\(595\) 86.4419 + 46.2041i 0.145280 + 0.0776540i
\(596\) −529.001 + 53.7309i −0.887585 + 0.0901526i
\(597\) −763.270 + 930.047i −1.27851 + 1.55787i
\(598\) −48.7230 + 161.504i −0.0814766 + 0.270074i
\(599\) −6.82343 10.2120i −0.0113914 0.0170484i 0.825730 0.564065i \(-0.190763\pi\)
−0.837122 + 0.547017i \(0.815763\pi\)
\(600\) −709.540 211.698i −1.18257 0.352830i
\(601\) −79.4919 + 118.968i −0.132266 + 0.197950i −0.891691 0.452645i \(-0.850481\pi\)
0.759425 + 0.650595i \(0.225481\pi\)
\(602\) 321.259 + 31.1469i 0.533653 + 0.0517390i
\(603\) −915.042 + 489.100i −1.51748 + 0.811112i
\(604\) −67.0229 + 342.399i −0.110965 + 0.566886i
\(605\) 0.752650 + 0.0741296i 0.00124405 + 0.000122528i
\(606\) −1554.43 + 2.36953i −2.56507 + 0.00391011i
\(607\) −481.433 + 481.433i −0.793136 + 0.793136i −0.982003 0.188867i \(-0.939519\pi\)
0.188867 + 0.982003i \(0.439519\pi\)
\(608\) −73.2596 + 806.812i −0.120493 + 1.32699i
\(609\) 1525.95 1525.95i 2.50566 2.50566i
\(610\) −18.8433 18.7859i −0.0308906 0.0307966i
\(611\) 195.384 + 19.2436i 0.319777 + 0.0314953i
\(612\) 394.313 79.6841i 0.644302 0.130203i
\(613\) −589.827 + 315.269i −0.962198 + 0.514306i −0.876178 0.481988i \(-0.839915\pi\)
−0.0860201 + 0.996293i \(0.527415\pi\)
\(614\) −750.871 + 618.142i −1.22292 + 1.00675i
\(615\) 111.571 166.978i 0.181417 0.271510i
\(616\) −727.782 68.3213i −1.18147 0.110911i
\(617\) −200.691 300.355i −0.325268 0.486799i 0.632412 0.774632i \(-0.282065\pi\)
−0.957680 + 0.287834i \(0.907065\pi\)
\(618\) 1877.65 1007.31i 3.03828 1.62995i
\(619\) −394.178 + 480.308i −0.636799 + 0.775941i −0.986998 0.160734i \(-0.948614\pi\)
0.350199 + 0.936675i \(0.386114\pi\)
\(620\) 60.6214 + 18.1877i 0.0977765 + 0.0293349i
\(621\) 529.995 + 283.288i 0.853455 + 0.456181i
\(622\) −571.524 + 114.589i −0.918849 + 0.184227i
\(623\) 254.827 + 105.553i 0.409031 + 0.169426i
\(624\) −744.513 + 1129.09i −1.19313 + 1.80943i
\(625\) 3.49679 + 8.44199i 0.00559486 + 0.0135072i
\(626\) −49.0376 + 32.8741i −0.0783348 + 0.0525146i
\(627\) −1578.10 + 478.712i −2.51691 + 0.763495i
\(628\) −76.2679 92.3570i −0.121446 0.147065i
\(629\) −21.8810 + 2.15509i −0.0347870 + 0.00342622i
\(630\) 132.557 + 1325.16i 0.210408 + 2.10343i
\(631\) −345.496 68.7234i −0.547537 0.108912i −0.0864325 0.996258i \(-0.527547\pi\)
−0.461105 + 0.887346i \(0.652547\pi\)
\(632\) −2.66650 583.080i −0.00421915 0.922595i
\(633\) 1085.28 215.876i 1.71451 0.341037i
\(634\) −400.352 213.209i −0.631470 0.336291i
\(635\) 89.8693 296.259i 0.141526 0.466550i
\(636\) 1381.52 4.21191i 2.17221 0.00662250i
\(637\) −182.199 222.010i −0.286027 0.348525i
\(638\) 369.578 + 888.408i 0.579276 + 1.39249i
\(639\) 1982.63i 3.10271i
\(640\) −245.530 + 305.775i −0.383640 + 0.477773i
\(641\) 453.270 0.707130 0.353565 0.935410i \(-0.384969\pi\)
0.353565 + 0.935410i \(0.384969\pi\)
\(642\) −90.3517 + 37.5864i −0.140735 + 0.0585457i
\(643\) 462.971 379.950i 0.720016 0.590902i −0.201386 0.979512i \(-0.564545\pi\)
0.921402 + 0.388610i \(0.127045\pi\)
\(644\) −196.737 + 0.599800i −0.305492 + 0.000931367i
\(645\) 337.298 + 102.318i 0.522942 + 0.158633i
\(646\) −91.5722 + 171.950i −0.141753 + 0.266176i
\(647\) −63.1082 317.266i −0.0975398 0.490365i −0.998415 0.0562866i \(-0.982074\pi\)
0.900875 0.434079i \(-0.142926\pi\)
\(648\) 2085.53 + 2066.54i 3.21841 + 3.18910i
\(649\) −9.38918 + 47.2026i −0.0144671 + 0.0727312i
\(650\) 443.083 44.3219i 0.681666 0.0681876i
\(651\) 24.9518 + 253.340i 0.0383285 + 0.389155i
\(652\) −246.672 298.709i −0.378331 0.458143i
\(653\) −32.4730 107.049i −0.0497289 0.163934i 0.928559 0.371185i \(-0.121048\pi\)
−0.978288 + 0.207251i \(0.933548\pi\)
\(654\) 39.9494 + 59.5916i 0.0610846 + 0.0911186i
\(655\) 72.5551 30.0533i 0.110771 0.0458829i
\(656\) 99.1907 + 146.508i 0.151205 + 0.223335i
\(657\) 942.585 2275.60i 1.43468 3.46362i
\(658\) 45.0117 + 224.500i 0.0684069 + 0.341186i
\(659\) 15.2436 28.5189i 0.0231315 0.0432760i −0.870090 0.492893i \(-0.835939\pi\)
0.893222 + 0.449617i \(0.148439\pi\)
\(660\) −764.597 229.395i −1.15848 0.347568i
\(661\) 486.608 + 399.349i 0.736169 + 0.604158i 0.925940 0.377670i \(-0.123275\pi\)
−0.189771 + 0.981828i \(0.560775\pi\)
\(662\) −258.585 482.010i −0.390612 0.728112i
\(663\) −270.415 + 180.686i −0.407866 + 0.272528i
\(664\) −200.725 242.316i −0.302297 0.364934i
\(665\) −536.246 358.308i −0.806385 0.538809i
\(666\) −189.874 230.644i −0.285096 0.346312i
\(667\) 122.079 + 228.393i 0.183027 + 0.342418i
\(668\) −165.695 + 33.4842i −0.248046 + 0.0501260i
\(669\) −254.273 + 2581.68i −0.380079 + 3.85901i
\(670\) 171.719 172.243i 0.256297 0.257079i
\(671\) 33.7420 + 33.7420i 0.0502861 + 0.0502861i
\(672\) −1512.82 446.347i −2.25122 0.664207i
\(673\) 155.430 + 155.430i 0.230950 + 0.230950i 0.813089 0.582139i \(-0.197784\pi\)
−0.582139 + 0.813089i \(0.697784\pi\)
\(674\) −1.23586 810.739i −0.00183362 1.20288i
\(675\) 155.487 1578.68i 0.230351 2.33879i
\(676\) 26.3840 134.788i 0.0390296 0.199390i
\(677\) −620.444 1160.77i −0.916461 1.71458i −0.665210 0.746656i \(-0.731658\pi\)
−0.251251 0.967922i \(-0.580842\pi\)
\(678\) 244.877 2525.74i 0.361175 3.72528i
\(679\) −418.404 279.569i −0.616206 0.411736i
\(680\) −82.9620 + 44.8331i −0.122003 + 0.0659310i
\(681\) −643.688 + 430.099i −0.945210 + 0.631569i
\(682\) −108.668 32.7833i −0.159337 0.0480693i
\(683\) −717.977 589.229i −1.05121 0.862707i −0.0604291 0.998172i \(-0.519247\pi\)
−0.990782 + 0.135466i \(0.956747\pi\)
\(684\) −2633.46 + 267.482i −3.85009 + 0.391056i
\(685\) −343.245 + 642.167i −0.501088 + 0.937470i
\(686\) −266.027 + 399.455i −0.387795 + 0.582296i
\(687\) 749.519 1809.50i 1.09100 2.63391i
\(688\) −195.533 + 241.243i −0.284206 + 0.350644i
\(689\) −767.589 + 317.946i −1.11406 + 0.461459i
\(690\) −210.783 41.5934i −0.305482 0.0602802i
\(691\) −209.780 691.552i −0.303589 1.00080i −0.967475 0.252966i \(-0.918594\pi\)
0.663886 0.747834i \(-0.268906\pi\)
\(692\) 240.115 + 782.952i 0.346987 + 1.13143i
\(693\) −234.104 2376.90i −0.337812 3.42987i
\(694\) 836.719 + 684.546i 1.20565 + 0.986377i
\(695\) 58.7677 295.445i 0.0845578 0.425101i
\(696\) 414.362 + 2034.47i 0.595348 + 2.92309i
\(697\) 8.30029 + 41.7284i 0.0119086 + 0.0598685i
\(698\) −78.3586 256.903i −0.112262 0.368056i
\(699\) 653.937 + 198.370i 0.935532 + 0.283790i
\(700\) 200.198 + 479.183i 0.285997 + 0.684548i
\(701\) 102.495 84.1152i 0.146212 0.119993i −0.558444 0.829542i \(-0.688601\pi\)
0.704656 + 0.709549i \(0.251101\pi\)
\(702\) −2678.60 1104.73i −3.81567 1.57369i
\(703\) 144.673 0.205794
\(704\) 441.166 547.702i 0.626657 0.777986i
\(705\) 250.044i 0.354672i
\(706\) −576.358 237.707i −0.816371 0.336695i
\(707\) 691.630 + 842.754i 0.978260 + 1.19201i
\(708\) −39.4482 + 96.0636i −0.0557177 + 0.135683i
\(709\) −330.554 + 1089.69i −0.466225 + 1.53694i 0.337142 + 0.941454i \(0.390540\pi\)
−0.803367 + 0.595484i \(0.796960\pi\)
\(710\) 135.590 + 444.539i 0.190972 + 0.626112i
\(711\) 1868.56 371.679i 2.62807 0.522755i
\(712\) −219.971 + 148.439i −0.308947 + 0.208482i
\(713\) −29.9621 5.95983i −0.0420226 0.00835881i
\(714\) −293.564 240.174i −0.411154 0.336378i
\(715\) 477.754 47.0547i 0.668188 0.0658108i
\(716\) 435.244 + 230.940i 0.607883 + 0.322541i
\(717\) 592.479 179.726i 0.826330 0.250664i
\(718\) −428.769 84.6082i −0.597171 0.117839i
\(719\) −416.086 1004.52i −0.578701 1.39711i −0.893979 0.448108i \(-0.852098\pi\)
0.315278 0.948999i \(-0.397902\pi\)
\(720\) −1133.68 597.103i −1.57455 0.829310i
\(721\) −1380.70 571.903i −1.91498 0.793209i
\(722\) 310.333 465.982i 0.429824 0.645404i
\(723\) 1433.87 + 766.419i 1.98322 + 1.06005i
\(724\) −708.792 578.083i −0.978994 0.798458i
\(725\) 433.671 528.430i 0.598167 0.728869i
\(726\) −2.80192 0.845291i −0.00385939 0.00116431i
\(727\) 298.160 + 446.227i 0.410123 + 0.613793i 0.977821 0.209445i \(-0.0671656\pi\)
−0.567697 + 0.823237i \(0.692166\pi\)
\(728\) 943.558 97.2912i 1.29610 0.133642i
\(729\) −2318.25 + 3469.50i −3.18004 + 4.75926i
\(730\) −55.7176 + 574.690i −0.0763255 + 0.787246i
\(731\) −65.8569 + 35.2013i −0.0900916 + 0.0481549i
\(732\) 57.4652 + 85.4377i 0.0785044 + 0.116718i
\(733\) −1147.59 113.028i −1.56561 0.154199i −0.722284 0.691597i \(-0.756907\pi\)
−0.843329 + 0.537398i \(0.819407\pi\)
\(734\) 2.03750 + 1336.62i 0.00277588 + 1.82101i
\(735\) 258.645 258.645i 0.351898 0.351898i
\(736\) 103.957 158.180i 0.141246 0.214918i
\(737\) −308.430 + 308.430i −0.418493 + 0.418493i
\(738\) −408.147 + 409.393i −0.553045 + 0.554733i
\(739\) 181.845 + 17.9102i 0.246069 + 0.0242357i 0.220300 0.975432i \(-0.429296\pi\)
0.0257693 + 0.999668i \(0.491796\pi\)
\(740\) 58.3464 + 38.7290i 0.0788464 + 0.0523365i
\(741\) 1887.29 1008.78i 2.54695 1.36137i
\(742\) −615.839 748.074i −0.829972 1.00819i
\(743\) −2.13893 + 3.20113i −0.00287877 + 0.00430839i −0.832906 0.553414i \(-0.813325\pi\)
0.830027 + 0.557723i \(0.188325\pi\)
\(744\) −216.525 114.465i −0.291028 0.153851i
\(745\) 226.260 + 338.622i 0.303705 + 0.454527i
\(746\) −185.017 344.877i −0.248012 0.462302i
\(747\) 652.218 794.730i 0.873116 1.06390i
\(748\) 148.906 80.1763i 0.199072 0.107188i
\(749\) 60.5297 + 32.3538i 0.0808140 + 0.0431960i
\(750\) 289.997 + 1446.39i 0.386663 + 1.92852i
\(751\) −42.5756 17.6354i −0.0566919 0.0234826i 0.354157 0.935186i \(-0.384768\pi\)
−0.410849 + 0.911703i \(0.634768\pi\)
\(752\) −204.033 83.0593i −0.271320 0.110451i
\(753\) −149.663 361.319i −0.198756 0.479840i
\(754\) −695.278 1037.13i