Properties

Label 192.2.r.a.109.5
Level $192$
Weight $2$
Character 192.109
Analytic conductor $1.533$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 192 = 2^{6} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 192.r (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.53312771881\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(16\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 109.5
Character \(\chi\) \(=\) 192.109
Dual form 192.2.r.a.37.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.899186 + 1.09154i) q^{2} +(0.555570 + 0.831470i) q^{3} +(-0.382930 - 1.96300i) q^{4} +(0.713613 + 3.58757i) q^{5} +(-1.40715 - 0.141217i) q^{6} +(-0.499893 - 1.20685i) q^{7} +(2.48702 + 1.34712i) q^{8} +(-0.382683 + 0.923880i) q^{9} +O(q^{10})\) \(q+(-0.899186 + 1.09154i) q^{2} +(0.555570 + 0.831470i) q^{3} +(-0.382930 - 1.96300i) q^{4} +(0.713613 + 3.58757i) q^{5} +(-1.40715 - 0.141217i) q^{6} +(-0.499893 - 1.20685i) q^{7} +(2.48702 + 1.34712i) q^{8} +(-0.382683 + 0.923880i) q^{9} +(-4.55766 - 2.44696i) q^{10} +(0.165075 + 0.110300i) q^{11} +(1.41943 - 1.40898i) q^{12} +(-0.763008 + 3.83590i) q^{13} +(1.76682 + 0.539527i) q^{14} +(-2.58650 + 2.58650i) q^{15} +(-3.70673 + 1.50338i) q^{16} +(-3.40067 - 3.40067i) q^{17} +(-0.664350 - 1.24845i) q^{18} +(1.60520 + 0.319294i) q^{19} +(6.76914 - 2.77461i) q^{20} +(0.725732 - 1.08613i) q^{21} +(-0.268830 + 0.0810065i) q^{22} +(5.45175 + 2.25819i) q^{23} +(0.261628 + 2.81630i) q^{24} +(-7.74204 + 3.20686i) q^{25} +(-3.50096 - 4.28204i) q^{26} +(-0.980785 + 0.195090i) q^{27} +(-2.17762 + 1.44343i) q^{28} +(-4.85792 + 3.24596i) q^{29} +(-0.497530 - 5.14901i) q^{30} -7.27965i q^{31} +(1.69203 - 5.39787i) q^{32} +0.198534i q^{33} +(6.76981 - 0.654141i) q^{34} +(3.97293 - 2.65462i) q^{35} +(1.96012 + 0.397426i) q^{36} +(10.9804 - 2.18414i) q^{37} +(-1.79190 + 1.46504i) q^{38} +(-3.61334 + 1.49669i) q^{39} +(-3.05811 + 9.88369i) q^{40} +(4.05331 + 1.67894i) q^{41} +(0.532994 + 1.76880i) q^{42} +(4.87955 - 7.30276i) q^{43} +(0.153306 - 0.366279i) q^{44} +(-3.58757 - 0.713613i) q^{45} +(-7.36704 + 3.92028i) q^{46} +(7.45854 + 7.45854i) q^{47} +(-3.30936 - 2.24680i) q^{48} +(3.74316 - 3.74316i) q^{49} +(3.46111 - 11.3343i) q^{50} +(0.938243 - 4.71687i) q^{51} +(7.82205 + 0.0289041i) q^{52} +(6.21917 + 4.15552i) q^{53} +(0.668959 - 1.24599i) q^{54} +(-0.277908 + 0.670930i) q^{55} +(0.382521 - 3.67487i) q^{56} +(0.626319 + 1.51207i) q^{57} +(0.825071 - 8.22134i) q^{58} +(-1.52940 - 7.68882i) q^{59} +(6.06774 + 4.08684i) q^{60} +(-0.775973 - 1.16133i) q^{61} +(7.94605 + 6.54576i) q^{62} +1.30628 q^{63} +(4.37055 + 6.70062i) q^{64} -14.3061 q^{65} +(-0.216708 - 0.178519i) q^{66} +(-2.61387 - 3.91193i) q^{67} +(-5.37330 + 7.97773i) q^{68} +(1.15121 + 5.78754i) q^{69} +(-0.674764 + 6.72362i) q^{70} +(-3.70757 - 8.95087i) q^{71} +(-2.19632 + 1.78219i) q^{72} +(-0.717326 + 1.73178i) q^{73} +(-7.48937 + 13.9496i) q^{74} +(-6.96765 - 4.65564i) q^{75} +(0.0120954 - 3.27328i) q^{76} +(0.0505950 - 0.254358i) q^{77} +(1.61536 - 5.28992i) q^{78} +(-7.84113 + 7.84113i) q^{79} +(-8.03866 - 12.2253i) q^{80} +(-0.707107 - 0.707107i) q^{81} +(-5.47731 + 2.91469i) q^{82} +(-8.03366 - 1.59800i) q^{83} +(-2.40999 - 1.00870i) q^{84} +(9.77339 - 14.6269i) q^{85} +(3.58365 + 11.8928i) q^{86} +(-5.39783 - 2.23585i) q^{87} +(0.261959 + 0.496693i) q^{88} +(-9.80970 + 4.06331i) q^{89} +(4.00483 - 3.27432i) q^{90} +(5.01077 - 0.996705i) q^{91} +(2.34518 - 11.5665i) q^{92} +(6.05281 - 4.04436i) q^{93} +(-14.8479 + 1.43470i) q^{94} +5.98663i q^{95} +(5.42821 - 1.59202i) q^{96} +6.53575i q^{97} +(0.720021 + 7.45161i) q^{98} +(-0.165075 + 0.110300i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q + O(q^{10}) \) \( 128q - 16q^{22} - 80q^{26} - 80q^{28} - 80q^{32} - 80q^{34} - 80q^{38} - 80q^{40} - 16q^{44} + 48q^{50} - 32q^{51} + 48q^{52} + 16q^{54} - 64q^{55} + 112q^{56} - 128q^{59} + 96q^{60} + 96q^{62} - 32q^{63} + 96q^{64} + 96q^{66} - 32q^{67} + 96q^{68} + 96q^{70} - 128q^{71} + 112q^{74} - 64q^{75} + 16q^{76} + 48q^{78} - 32q^{79} + 48q^{80} - 80q^{82} - 80q^{88} - 96q^{94} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{7}{16}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.899186 + 1.09154i −0.635820 + 0.771837i
\(3\) 0.555570 + 0.831470i 0.320759 + 0.480049i
\(4\) −0.382930 1.96300i −0.191465 0.981499i
\(5\) 0.713613 + 3.58757i 0.319137 + 1.60441i 0.723843 + 0.689965i \(0.242374\pi\)
−0.404706 + 0.914447i \(0.632626\pi\)
\(6\) −1.40715 0.141217i −0.574465 0.0576517i
\(7\) −0.499893 1.20685i −0.188942 0.456146i 0.800815 0.598912i \(-0.204400\pi\)
−0.989756 + 0.142767i \(0.954400\pi\)
\(8\) 2.48702 + 1.34712i 0.879295 + 0.476278i
\(9\) −0.382683 + 0.923880i −0.127561 + 0.307960i
\(10\) −4.55766 2.44696i −1.44126 0.773796i
\(11\) 0.165075 + 0.110300i 0.0497720 + 0.0332566i 0.580207 0.814469i \(-0.302972\pi\)
−0.530435 + 0.847725i \(0.677972\pi\)
\(12\) 1.41943 1.40898i 0.409754 0.406737i
\(13\) −0.763008 + 3.83590i −0.211620 + 1.06389i 0.718190 + 0.695848i \(0.244971\pi\)
−0.929810 + 0.368040i \(0.880029\pi\)
\(14\) 1.76682 + 0.539527i 0.472203 + 0.144195i
\(15\) −2.58650 + 2.58650i −0.667830 + 0.667830i
\(16\) −3.70673 + 1.50338i −0.926682 + 0.375845i
\(17\) −3.40067 3.40067i −0.824784 0.824784i 0.162006 0.986790i \(-0.448204\pi\)
−0.986790 + 0.162006i \(0.948204\pi\)
\(18\) −0.664350 1.24845i −0.156589 0.294264i
\(19\) 1.60520 + 0.319294i 0.368258 + 0.0732512i 0.375751 0.926721i \(-0.377385\pi\)
−0.00749226 + 0.999972i \(0.502385\pi\)
\(20\) 6.76914 2.77461i 1.51363 0.620421i
\(21\) 0.725732 1.08613i 0.158368 0.237014i
\(22\) −0.268830 + 0.0810065i −0.0573147 + 0.0172706i
\(23\) 5.45175 + 2.25819i 1.13677 + 0.470865i 0.870076 0.492917i \(-0.164070\pi\)
0.266691 + 0.963782i \(0.414070\pi\)
\(24\) 0.261628 + 2.81630i 0.0534047 + 0.574875i
\(25\) −7.74204 + 3.20686i −1.54841 + 0.641372i
\(26\) −3.50096 4.28204i −0.686595 0.839778i
\(27\) −0.980785 + 0.195090i −0.188752 + 0.0375451i
\(28\) −2.17762 + 1.44343i −0.411531 + 0.272782i
\(29\) −4.85792 + 3.24596i −0.902092 + 0.602759i −0.917767 0.397118i \(-0.870010\pi\)
0.0156751 + 0.999877i \(0.495010\pi\)
\(30\) −0.497530 5.14901i −0.0908360 0.940077i
\(31\) 7.27965i 1.30746i −0.756726 0.653732i \(-0.773202\pi\)
0.756726 0.653732i \(-0.226798\pi\)
\(32\) 1.69203 5.39787i 0.299112 0.954218i
\(33\) 0.198534i 0.0345603i
\(34\) 6.76981 0.654141i 1.16101 0.112184i
\(35\) 3.97293 2.65462i 0.671547 0.448714i
\(36\) 1.96012 + 0.397426i 0.326686 + 0.0662377i
\(37\) 10.9804 2.18414i 1.80517 0.359071i 0.826250 0.563304i \(-0.190470\pi\)
0.978922 + 0.204233i \(0.0654699\pi\)
\(38\) −1.79190 + 1.46504i −0.290684 + 0.237661i
\(39\) −3.61334 + 1.49669i −0.578597 + 0.239663i
\(40\) −3.05811 + 9.88369i −0.483530 + 1.56275i
\(41\) 4.05331 + 1.67894i 0.633021 + 0.262206i 0.676036 0.736868i \(-0.263696\pi\)
−0.0430149 + 0.999074i \(0.513696\pi\)
\(42\) 0.532994 + 1.76880i 0.0822428 + 0.272932i
\(43\) 4.87955 7.30276i 0.744124 1.11366i −0.245418 0.969417i \(-0.578925\pi\)
0.989542 0.144244i \(-0.0460749\pi\)
\(44\) 0.153306 0.366279i 0.0231117 0.0552186i
\(45\) −3.58757 0.713613i −0.534804 0.106379i
\(46\) −7.36704 + 3.92028i −1.08621 + 0.578014i
\(47\) 7.45854 + 7.45854i 1.08794 + 1.08794i 0.995741 + 0.0921995i \(0.0293898\pi\)
0.0921995 + 0.995741i \(0.470610\pi\)
\(48\) −3.30936 2.24680i −0.477666 0.324298i
\(49\) 3.74316 3.74316i 0.534737 0.534737i
\(50\) 3.46111 11.3343i 0.489475 1.60292i
\(51\) 0.938243 4.71687i 0.131380 0.660493i
\(52\) 7.82205 + 0.0289041i 1.08472 + 0.00400827i
\(53\) 6.21917 + 4.15552i 0.854269 + 0.570804i 0.903794 0.427968i \(-0.140771\pi\)
−0.0495244 + 0.998773i \(0.515771\pi\)
\(54\) 0.668959 1.24599i 0.0910338 0.169558i
\(55\) −0.277908 + 0.670930i −0.0374731 + 0.0904681i
\(56\) 0.382521 3.67487i 0.0511166 0.491075i
\(57\) 0.626319 + 1.51207i 0.0829579 + 0.200278i
\(58\) 0.825071 8.22134i 0.108337 1.07951i
\(59\) −1.52940 7.68882i −0.199111 1.00100i −0.943024 0.332723i \(-0.892032\pi\)
0.743913 0.668276i \(-0.232968\pi\)
\(60\) 6.06774 + 4.08684i 0.783341 + 0.527609i
\(61\) −0.775973 1.16133i −0.0993531 0.148692i 0.778463 0.627691i \(-0.216000\pi\)
−0.877816 + 0.478999i \(0.841000\pi\)
\(62\) 7.94605 + 6.54576i 1.00915 + 0.831312i
\(63\) 1.30628 0.164576
\(64\) 4.37055 + 6.70062i 0.546319 + 0.837577i
\(65\) −14.3061 −1.77445
\(66\) −0.216708 0.178519i −0.0266749 0.0219742i
\(67\) −2.61387 3.91193i −0.319335 0.477919i 0.636724 0.771091i \(-0.280289\pi\)
−0.956059 + 0.293173i \(0.905289\pi\)
\(68\) −5.37330 + 7.97773i −0.651608 + 0.967442i
\(69\) 1.15121 + 5.78754i 0.138590 + 0.696738i
\(70\) −0.674764 + 6.72362i −0.0806497 + 0.803626i
\(71\) −3.70757 8.95087i −0.440008 1.06227i −0.975945 0.218015i \(-0.930042\pi\)
0.535938 0.844257i \(-0.319958\pi\)
\(72\) −2.19632 + 1.78219i −0.258838 + 0.210033i
\(73\) −0.717326 + 1.73178i −0.0839566 + 0.202689i −0.960283 0.279029i \(-0.909987\pi\)
0.876326 + 0.481719i \(0.159987\pi\)
\(74\) −7.48937 + 13.9496i −0.870621 + 1.62160i
\(75\) −6.96765 4.65564i −0.804555 0.537587i
\(76\) 0.0120954 3.27328i 0.00138744 0.375471i
\(77\) 0.0505950 0.254358i 0.00576584 0.0289868i
\(78\) 1.61536 5.28992i 0.182903 0.598966i
\(79\) −7.84113 + 7.84113i −0.882196 + 0.882196i −0.993758 0.111561i \(-0.964415\pi\)
0.111561 + 0.993758i \(0.464415\pi\)
\(80\) −8.03866 12.2253i −0.898749 1.36683i
\(81\) −0.707107 0.707107i −0.0785674 0.0785674i
\(82\) −5.47731 + 2.91469i −0.604868 + 0.321873i
\(83\) −8.03366 1.59800i −0.881809 0.175403i −0.266638 0.963797i \(-0.585913\pi\)
−0.615171 + 0.788394i \(0.710913\pi\)
\(84\) −2.40999 1.00870i −0.262951 0.110058i
\(85\) 9.77339 14.6269i 1.06007 1.58651i
\(86\) 3.58365 + 11.8928i 0.386435 + 1.28243i
\(87\) −5.39783 2.23585i −0.578708 0.239709i
\(88\) 0.261959 + 0.496693i 0.0279249 + 0.0529476i
\(89\) −9.80970 + 4.06331i −1.03983 + 0.430710i −0.836250 0.548349i \(-0.815257\pi\)
−0.203576 + 0.979059i \(0.565257\pi\)
\(90\) 4.00483 3.27432i 0.422147 0.345143i
\(91\) 5.01077 0.996705i 0.525272 0.104483i
\(92\) 2.34518 11.5665i 0.244502 1.20589i
\(93\) 6.05281 4.04436i 0.627647 0.419380i
\(94\) −14.8479 + 1.43470i −1.53145 + 0.147978i
\(95\) 5.98663i 0.614215i
\(96\) 5.42821 1.59202i 0.554014 0.162485i
\(97\) 6.53575i 0.663605i 0.943349 + 0.331802i \(0.107657\pi\)
−0.943349 + 0.331802i \(0.892343\pi\)
\(98\) 0.720021 + 7.45161i 0.0727331 + 0.752726i
\(99\) −0.165075 + 0.110300i −0.0165907 + 0.0110855i
\(100\) 9.25972 + 13.9696i 0.925972 + 1.39696i
\(101\) −12.0391 + 2.39472i −1.19793 + 0.238284i −0.753452 0.657503i \(-0.771613\pi\)
−0.444483 + 0.895787i \(0.646613\pi\)
\(102\) 4.30500 + 5.26547i 0.426259 + 0.521359i
\(103\) −3.02423 + 1.25268i −0.297986 + 0.123430i −0.526667 0.850072i \(-0.676559\pi\)
0.228681 + 0.973501i \(0.426559\pi\)
\(104\) −7.06503 + 8.51211i −0.692783 + 0.834681i
\(105\) 4.41448 + 1.82854i 0.430809 + 0.178447i
\(106\) −10.1281 + 3.05191i −0.983730 + 0.296428i
\(107\) 5.92917 8.87362i 0.573194 0.857846i −0.425700 0.904864i \(-0.639972\pi\)
0.998894 + 0.0470188i \(0.0149721\pi\)
\(108\) 0.758534 + 1.85057i 0.0729900 + 0.178072i
\(109\) 9.42819 + 1.87538i 0.903056 + 0.179629i 0.624715 0.780853i \(-0.285215\pi\)
0.278342 + 0.960482i \(0.410215\pi\)
\(110\) −0.482457 0.906639i −0.0460005 0.0864446i
\(111\) 7.91645 + 7.91645i 0.751396 + 0.751396i
\(112\) 3.66732 + 3.72193i 0.346529 + 0.351689i
\(113\) 3.00161 3.00161i 0.282368 0.282368i −0.551685 0.834053i \(-0.686015\pi\)
0.834053 + 0.551685i \(0.186015\pi\)
\(114\) −2.21366 0.675976i −0.207328 0.0633109i
\(115\) −4.21098 + 21.1700i −0.392676 + 1.97411i
\(116\) 8.23205 + 8.29311i 0.764326 + 0.769996i
\(117\) −3.25192 2.17286i −0.300640 0.200881i
\(118\) 9.76790 + 5.24427i 0.899208 + 0.482775i
\(119\) −2.40412 + 5.80407i −0.220386 + 0.532058i
\(120\) −9.91699 + 2.94836i −0.905293 + 0.269147i
\(121\) −4.19443 10.1263i −0.381312 0.920569i
\(122\) 1.96538 + 0.197240i 0.177937 + 0.0178573i
\(123\) 0.855915 + 4.30298i 0.0771753 + 0.387986i
\(124\) −14.2899 + 2.78759i −1.28328 + 0.250333i
\(125\) −6.86868 10.2797i −0.614353 0.919445i
\(126\) −1.17459 + 1.42586i −0.104641 + 0.127026i
\(127\) 8.30918 0.737321 0.368660 0.929564i \(-0.379817\pi\)
0.368660 + 0.929564i \(0.379817\pi\)
\(128\) −11.2439 1.25446i −0.993834 0.110879i
\(129\) 8.78296 0.773296
\(130\) 12.8638 15.6157i 1.12823 1.36959i
\(131\) −0.0841669 0.125965i −0.00735370 0.0110056i 0.827775 0.561061i \(-0.189607\pi\)
−0.835128 + 0.550055i \(0.814607\pi\)
\(132\) 0.389722 0.0760245i 0.0339209 0.00661709i
\(133\) −0.417089 2.09685i −0.0361662 0.181820i
\(134\) 6.62039 + 0.664405i 0.571915 + 0.0573958i
\(135\) −1.39980 3.37942i −0.120476 0.290854i
\(136\) −3.87644 13.0386i −0.332402 1.11805i
\(137\) 7.53903 18.2008i 0.644103 1.55500i −0.176993 0.984212i \(-0.556637\pi\)
0.821096 0.570790i \(-0.193363\pi\)
\(138\) −7.35250 3.94748i −0.625887 0.336032i
\(139\) 5.12863 + 3.42684i 0.435005 + 0.290661i 0.753728 0.657187i \(-0.228254\pi\)
−0.318723 + 0.947848i \(0.603254\pi\)
\(140\) −6.73238 6.78232i −0.568990 0.573210i
\(141\) −2.05781 + 10.3453i −0.173299 + 0.871231i
\(142\) 13.1040 + 4.00152i 1.09967 + 0.335800i
\(143\) −0.549052 + 0.549052i −0.0459140 + 0.0459140i
\(144\) 0.0295612 3.99989i 0.00246344 0.333324i
\(145\) −15.1118 15.1118i −1.25496 1.25496i
\(146\) −1.24530 2.34018i −0.103062 0.193675i
\(147\) 5.19191 + 1.03273i 0.428221 + 0.0851785i
\(148\) −8.49221 20.7182i −0.698055 1.70303i
\(149\) −3.31602 + 4.96278i −0.271659 + 0.406567i −0.942066 0.335427i \(-0.891119\pi\)
0.670407 + 0.741993i \(0.266119\pi\)
\(150\) 11.3470 3.41921i 0.926482 0.279177i
\(151\) −15.2579 6.32003i −1.24167 0.514317i −0.337434 0.941349i \(-0.609559\pi\)
−0.904236 + 0.427033i \(0.859559\pi\)
\(152\) 3.56204 + 2.95649i 0.288920 + 0.239803i
\(153\) 4.44319 1.84043i 0.359211 0.148790i
\(154\) 0.232149 + 0.283942i 0.0187071 + 0.0228807i
\(155\) 26.1163 5.19485i 2.09771 0.417261i
\(156\) 4.32166 + 6.51985i 0.346010 + 0.522006i
\(157\) 2.68759 1.79579i 0.214493 0.143320i −0.443683 0.896184i \(-0.646328\pi\)
0.658176 + 0.752864i \(0.271328\pi\)
\(158\) −1.50829 15.6096i −0.119993 1.24183i
\(159\) 7.47974i 0.593182i
\(160\) 20.5727 + 2.21831i 1.62642 + 0.175373i
\(161\) 7.70828i 0.607498i
\(162\) 1.40766 0.136017i 0.110596 0.0106865i
\(163\) −9.67619 + 6.46543i −0.757898 + 0.506411i −0.873464 0.486888i \(-0.838132\pi\)
0.115566 + 0.993300i \(0.463132\pi\)
\(164\) 1.74362 8.59957i 0.136154 0.671513i
\(165\) −0.712255 + 0.141676i −0.0554490 + 0.0110295i
\(166\) 8.96804 7.33219i 0.696055 0.569088i
\(167\) −18.0933 + 7.49447i −1.40010 + 0.579940i −0.949777 0.312927i \(-0.898690\pi\)
−0.450321 + 0.892867i \(0.648690\pi\)
\(168\) 3.26806 1.72359i 0.252136 0.132978i
\(169\) −2.12152 0.878764i −0.163194 0.0675972i
\(170\) 7.17780 + 23.8204i 0.550512 + 1.82694i
\(171\) −0.909274 + 1.36082i −0.0695339 + 0.104065i
\(172\) −16.2038 6.78211i −1.23553 0.517131i
\(173\) −13.6336 2.71189i −1.03654 0.206181i −0.352645 0.935757i \(-0.614718\pi\)
−0.683900 + 0.729576i \(0.739718\pi\)
\(174\) 7.29418 3.88151i 0.552970 0.294256i
\(175\) 7.74038 + 7.74038i 0.585118 + 0.585118i
\(176\) −0.777710 0.160680i −0.0586221 0.0121117i
\(177\) 5.54333 5.54333i 0.416662 0.416662i
\(178\) 4.38547 14.3614i 0.328705 1.07643i
\(179\) −4.72336 + 23.7459i −0.353040 + 1.77485i 0.241107 + 0.970498i \(0.422489\pi\)
−0.594148 + 0.804356i \(0.702511\pi\)
\(180\) −0.0270329 + 7.31567i −0.00201491 + 0.545278i
\(181\) 17.1020 + 11.4272i 1.27118 + 0.849374i 0.993778 0.111380i \(-0.0355271\pi\)
0.277401 + 0.960754i \(0.410527\pi\)
\(182\) −3.41767 + 6.36569i −0.253335 + 0.471857i
\(183\) 0.534499 1.29040i 0.0395113 0.0953888i
\(184\) 10.5166 + 12.9603i 0.775292 + 0.955446i
\(185\) 15.6716 + 37.8345i 1.15220 + 2.78165i
\(186\) −1.02801 + 10.2435i −0.0753775 + 0.751092i
\(187\) −0.186273 0.936458i −0.0136216 0.0684806i
\(188\) 11.7850 17.4972i 0.859510 1.27611i
\(189\) 0.725732 + 1.08613i 0.0527892 + 0.0790047i
\(190\) −6.53466 5.38309i −0.474074 0.390531i
\(191\) 2.23266 0.161550 0.0807749 0.996732i \(-0.474261\pi\)
0.0807749 + 0.996732i \(0.474261\pi\)
\(192\) −3.14321 + 7.35664i −0.226842 + 0.530920i
\(193\) 19.2570 1.38615 0.693074 0.720867i \(-0.256256\pi\)
0.693074 + 0.720867i \(0.256256\pi\)
\(194\) −7.13405 5.87685i −0.512195 0.421933i
\(195\) −7.94803 11.8951i −0.569170 0.851823i
\(196\) −8.78118 5.91445i −0.627227 0.422461i
\(197\) −2.96931 14.9277i −0.211554 1.06356i −0.929884 0.367853i \(-0.880093\pi\)
0.718329 0.695703i \(-0.244907\pi\)
\(198\) 0.0280364 0.279366i 0.00199246 0.0198537i
\(199\) −7.09511 17.1291i −0.502959 1.21425i −0.947865 0.318673i \(-0.896763\pi\)
0.444906 0.895577i \(-0.353237\pi\)
\(200\) −23.5746 2.45391i −1.66698 0.173518i
\(201\) 1.80046 4.34671i 0.126995 0.306593i
\(202\) 8.21144 15.2945i 0.577755 1.07612i
\(203\) 6.34581 + 4.24014i 0.445389 + 0.297599i
\(204\) −9.61848 0.0355423i −0.673429 0.00248846i
\(205\) −3.13082 + 15.7397i −0.218666 + 1.09931i
\(206\) 1.35199 4.42746i 0.0941978 0.308476i
\(207\) −4.17259 + 4.17259i −0.290015 + 0.290015i
\(208\) −2.93856 15.3657i −0.203752 1.06542i
\(209\) 0.229761 + 0.229761i 0.0158929 + 0.0158929i
\(210\) −5.96536 + 3.17440i −0.411649 + 0.219054i
\(211\) 4.58044 + 0.911106i 0.315330 + 0.0627231i 0.350218 0.936668i \(-0.386107\pi\)
−0.0348879 + 0.999391i \(0.511107\pi\)
\(212\) 5.77577 13.7995i 0.396682 0.947754i
\(213\) 5.38256 8.05557i 0.368807 0.551958i
\(214\) 4.35452 + 14.4510i 0.297669 + 0.987848i
\(215\) 29.6813 + 12.2944i 2.02425 + 0.838471i
\(216\) −2.70204 0.836039i −0.183851 0.0568852i
\(217\) −8.78544 + 3.63905i −0.596394 + 0.247035i
\(218\) −10.5248 + 8.60495i −0.712826 + 0.582801i
\(219\) −1.83844 + 0.365689i −0.124231 + 0.0247110i
\(220\) 1.42345 + 0.288615i 0.0959692 + 0.0194584i
\(221\) 15.6394 10.4499i 1.05202 0.702936i
\(222\) −15.7595 + 1.52278i −1.05771 + 0.102202i
\(223\) 10.0197i 0.670969i −0.942046 0.335485i \(-0.891100\pi\)
0.942046 0.335485i \(-0.108900\pi\)
\(224\) −7.36025 + 0.656328i −0.491777 + 0.0438528i
\(225\) 8.37993i 0.558662i
\(226\) 0.577380 + 5.97540i 0.0384067 + 0.397477i
\(227\) −4.13349 + 2.76191i −0.274349 + 0.183314i −0.685132 0.728419i \(-0.740255\pi\)
0.410783 + 0.911733i \(0.365255\pi\)
\(228\) 2.72835 1.80848i 0.180689 0.119769i
\(229\) −6.49438 + 1.29181i −0.429161 + 0.0853654i −0.404944 0.914341i \(-0.632709\pi\)
−0.0242164 + 0.999707i \(0.507709\pi\)
\(230\) −19.3215 23.6322i −1.27402 1.55826i
\(231\) 0.239600 0.0992457i 0.0157645 0.00652989i
\(232\) −16.4544 + 1.52858i −1.08029 + 0.100356i
\(233\) 10.0645 + 4.16886i 0.659349 + 0.273111i 0.687165 0.726502i \(-0.258855\pi\)
−0.0278157 + 0.999613i \(0.508855\pi\)
\(234\) 5.29585 1.59580i 0.346201 0.104321i
\(235\) −21.4356 + 32.0806i −1.39830 + 2.09271i
\(236\) −14.5075 + 5.94649i −0.944358 + 0.387084i
\(237\) −10.8760 2.16336i −0.706470 0.140526i
\(238\) −4.17363 7.84314i −0.270536 0.508395i
\(239\) −18.9787 18.9787i −1.22763 1.22763i −0.964858 0.262772i \(-0.915363\pi\)
−0.262772 0.964858i \(-0.584637\pi\)
\(240\) 5.69895 13.4759i 0.367866 0.869868i
\(241\) −7.41861 + 7.41861i −0.477875 + 0.477875i −0.904451 0.426577i \(-0.859719\pi\)
0.426577 + 0.904451i \(0.359719\pi\)
\(242\) 14.8248 + 4.52699i 0.952975 + 0.291006i
\(243\) 0.195090 0.980785i 0.0125150 0.0629174i
\(244\) −1.98254 + 1.96794i −0.126919 + 0.125984i
\(245\) 16.1000 + 10.7577i 1.02859 + 0.687283i
\(246\) −5.46651 2.93491i −0.348532 0.187123i
\(247\) −2.44956 + 5.91377i −0.155862 + 0.376284i
\(248\) 9.80654 18.1047i 0.622716 1.14965i
\(249\) −3.13458 7.56755i −0.198646 0.479574i
\(250\) 17.3969 + 1.74591i 1.10028 + 0.110421i
\(251\) −3.96207 19.9187i −0.250084 1.25725i −0.877881 0.478878i \(-0.841044\pi\)
0.627798 0.778377i \(-0.283956\pi\)
\(252\) −0.500215 2.56423i −0.0315106 0.161531i
\(253\) 0.650870 + 0.974095i 0.0409198 + 0.0612408i
\(254\) −7.47150 + 9.06983i −0.468804 + 0.569091i
\(255\) 17.5916 1.10163
\(256\) 11.4797 11.1453i 0.717481 0.696578i
\(257\) −1.37931 −0.0860393 −0.0430196 0.999074i \(-0.513698\pi\)
−0.0430196 + 0.999074i \(0.513698\pi\)
\(258\) −7.89751 + 9.58697i −0.491678 + 0.596859i
\(259\) −8.12497 12.1599i −0.504861 0.755578i
\(260\) 5.47822 + 28.0828i 0.339745 + 1.74162i
\(261\) −1.13983 5.73030i −0.0705536 0.354697i
\(262\) 0.213178 + 0.0213939i 0.0131702 + 0.00132172i
\(263\) 1.86485 + 4.50216i 0.114992 + 0.277615i 0.970888 0.239532i \(-0.0769940\pi\)
−0.855897 + 0.517147i \(0.826994\pi\)
\(264\) −0.267448 + 0.493758i −0.0164603 + 0.0303887i
\(265\) −10.4701 + 25.2772i −0.643176 + 1.55276i
\(266\) 2.66384 + 1.43019i 0.163330 + 0.0876903i
\(267\) −8.82849 5.89901i −0.540295 0.361014i
\(268\) −6.67819 + 6.62902i −0.407935 + 0.404932i
\(269\) 0.807880 4.06149i 0.0492573 0.247633i −0.948310 0.317346i \(-0.897208\pi\)
0.997567 + 0.0697128i \(0.0222083\pi\)
\(270\) 4.94746 + 1.51078i 0.301093 + 0.0919434i
\(271\) 4.86041 4.86041i 0.295249 0.295249i −0.543901 0.839150i \(-0.683053\pi\)
0.839150 + 0.543901i \(0.183053\pi\)
\(272\) 17.7179 + 7.49286i 1.07430 + 0.454322i
\(273\) 3.61257 + 3.61257i 0.218642 + 0.218642i
\(274\) 13.0880 + 24.5951i 0.790675 + 1.48584i
\(275\) −1.63173 0.324572i −0.0983972 0.0195724i
\(276\) 10.9201 4.47605i 0.657313 0.269427i
\(277\) −9.49029 + 14.2032i −0.570216 + 0.853389i −0.998742 0.0501407i \(-0.984033\pi\)
0.428526 + 0.903529i \(0.359033\pi\)
\(278\) −8.35214 + 2.51675i −0.500928 + 0.150945i
\(279\) 6.72552 + 2.78580i 0.402646 + 0.166782i
\(280\) 13.4568 1.25011i 0.804200 0.0747085i
\(281\) 4.37830 1.81355i 0.261187 0.108187i −0.248247 0.968697i \(-0.579855\pi\)
0.509435 + 0.860509i \(0.329855\pi\)
\(282\) −9.44198 11.5485i −0.562261 0.687705i
\(283\) −4.66157 + 0.927244i −0.277102 + 0.0551189i −0.331685 0.943390i \(-0.607617\pi\)
0.0545831 + 0.998509i \(0.482617\pi\)
\(284\) −16.1508 + 10.7055i −0.958374 + 0.635255i
\(285\) −4.97770 + 3.32599i −0.294854 + 0.197015i
\(286\) −0.105614 1.09301i −0.00624507 0.0646312i
\(287\) 5.73102i 0.338292i
\(288\) 4.33947 + 3.62891i 0.255706 + 0.213836i
\(289\) 6.12913i 0.360537i
\(290\) 30.0834 2.90685i 1.76656 0.170696i
\(291\) −5.43428 + 3.63107i −0.318563 + 0.212857i
\(292\) 3.67416 + 0.744961i 0.215014 + 0.0435955i
\(293\) −6.99926 + 1.39224i −0.408901 + 0.0813355i −0.395255 0.918571i \(-0.629344\pi\)
−0.0136460 + 0.999907i \(0.504344\pi\)
\(294\) −5.79576 + 4.73857i −0.338016 + 0.276359i
\(295\) 26.4928 10.9737i 1.54247 0.638913i
\(296\) 30.2509 + 9.35992i 1.75830 + 0.544034i
\(297\) −0.183421 0.0759756i −0.0106432 0.00440855i
\(298\) −2.43536 8.08204i −0.141077 0.468180i
\(299\) −12.8219 + 19.1893i −0.741510 + 1.10975i
\(300\) −6.47089 + 15.4603i −0.373597 + 0.892600i
\(301\) −11.2526 2.23828i −0.648588 0.129012i
\(302\) 20.6183 10.9718i 1.18645 0.631354i
\(303\) −8.67970 8.67970i −0.498636 0.498636i
\(304\) −6.43007 + 1.22969i −0.368790 + 0.0705276i
\(305\) 3.61259 3.61259i 0.206857 0.206857i
\(306\) −1.98635 + 6.50482i −0.113552 + 0.371856i
\(307\) −3.43935 + 17.2908i −0.196294 + 0.986838i 0.749484 + 0.662023i \(0.230302\pi\)
−0.945778 + 0.324815i \(0.894698\pi\)
\(308\) −0.518680 0.00191663i −0.0295545 0.000109210i
\(309\) −2.72173 1.81860i −0.154834 0.103457i
\(310\) −17.8130 + 33.1782i −1.01171 + 1.88439i
\(311\) 0.364148 0.879131i 0.0206489 0.0498509i −0.913219 0.407470i \(-0.866411\pi\)
0.933868 + 0.357619i \(0.116411\pi\)
\(312\) −11.0027 1.14528i −0.622904 0.0648387i
\(313\) 11.4921 + 27.7444i 0.649571 + 1.56820i 0.813394 + 0.581714i \(0.197618\pi\)
−0.163822 + 0.986490i \(0.552382\pi\)
\(314\) −0.456462 + 4.54837i −0.0257597 + 0.256680i
\(315\) 0.932180 + 4.68639i 0.0525224 + 0.264048i
\(316\) 18.3947 + 12.3895i 1.03478 + 0.696966i
\(317\) −12.2103 18.2741i −0.685801 1.02637i −0.997103 0.0760631i \(-0.975765\pi\)
0.311302 0.950311i \(-0.399235\pi\)
\(318\) −8.16445 6.72567i −0.457840 0.377157i
\(319\) −1.15995 −0.0649446
\(320\) −20.9201 + 20.4613i −1.16947 + 1.14382i
\(321\) 10.6722 0.595665
\(322\) 8.41392 + 6.93118i 0.468889 + 0.386259i
\(323\) −4.37295 6.54458i −0.243317 0.364150i
\(324\) −1.11728 + 1.65882i −0.0620710 + 0.0921568i
\(325\) −6.39395 32.1446i −0.354673 1.78306i
\(326\) 1.64341 16.3756i 0.0910201 0.906960i
\(327\) 3.67870 + 8.88116i 0.203432 + 0.491129i
\(328\) 7.81895 + 9.63584i 0.431729 + 0.532050i
\(329\) 5.27286 12.7298i 0.290702 0.701817i
\(330\) 0.485804 0.904850i 0.0267426 0.0498104i
\(331\) −9.80351 6.55049i −0.538849 0.360048i 0.256170 0.966632i \(-0.417539\pi\)
−0.795019 + 0.606584i \(0.792539\pi\)
\(332\) −0.0605348 + 16.3820i −0.00332228 + 0.899079i
\(333\) −2.18414 + 10.9804i −0.119690 + 0.601724i
\(334\) 8.08867 26.4885i 0.442592 1.44939i
\(335\) 12.1691 12.1691i 0.664866 0.664866i
\(336\) −1.05722 + 5.11706i −0.0576760 + 0.279159i
\(337\) −20.0178 20.0178i −1.09044 1.09044i −0.995481 0.0949600i \(-0.969728\pi\)
−0.0949600 0.995481i \(-0.530272\pi\)
\(338\) 2.86685 1.52556i 0.155936 0.0829795i
\(339\) 4.16336 + 0.828143i 0.226123 + 0.0449786i
\(340\) −32.4551 13.5841i −1.76013 0.736700i
\(341\) 0.802942 1.20169i 0.0434818 0.0650751i
\(342\) −0.667791 2.21614i −0.0361100 0.119835i
\(343\) −14.8365 6.14550i −0.801098 0.331826i
\(344\) 21.9732 11.5888i 1.18472 0.624826i
\(345\) −19.9417 + 8.26013i −1.07363 + 0.444710i
\(346\) 15.2193 12.4432i 0.818195 0.668949i
\(347\) 20.6727 4.11207i 1.10977 0.220747i 0.394020 0.919102i \(-0.371084\pi\)
0.715752 + 0.698355i \(0.246084\pi\)
\(348\) −2.32199 + 11.4521i −0.124472 + 0.613897i
\(349\) 2.15070 1.43705i 0.115125 0.0769238i −0.496675 0.867937i \(-0.665446\pi\)
0.611800 + 0.791013i \(0.290446\pi\)
\(350\) −15.4090 + 1.48891i −0.823646 + 0.0795858i
\(351\) 3.91105i 0.208756i
\(352\) 0.874695 0.704423i 0.0466214 0.0375459i
\(353\) 2.31496i 0.123213i −0.998101 0.0616065i \(-0.980378\pi\)
0.998101 0.0616065i \(-0.0196224\pi\)
\(354\) 1.06630 + 11.0353i 0.0566730 + 0.586518i
\(355\) 29.4661 19.6886i 1.56390 1.04496i
\(356\) 11.7327 + 17.7005i 0.621832 + 0.938123i
\(357\) −6.16156 + 1.22561i −0.326104 + 0.0648662i
\(358\) −21.6725 26.5078i −1.14543 1.40098i
\(359\) 7.38180 3.05764i 0.389596 0.161376i −0.179282 0.983798i \(-0.557378\pi\)
0.568878 + 0.822422i \(0.307378\pi\)
\(360\) −7.96105 6.60765i −0.419584 0.348254i
\(361\) −15.0790 6.24592i −0.793631 0.328733i
\(362\) −27.8511 + 8.39237i −1.46382 + 0.441093i
\(363\) 6.08937 9.11339i 0.319609 0.478329i
\(364\) −3.87530 9.45447i −0.203121 0.495549i
\(365\) −6.72477 1.33764i −0.351991 0.0700153i
\(366\) 0.927907 + 1.74373i 0.0485025 + 0.0911464i
\(367\) 9.81262 + 9.81262i 0.512214 + 0.512214i 0.915204 0.402990i \(-0.132029\pi\)
−0.402990 + 0.915204i \(0.632029\pi\)
\(368\) −23.6031 0.174439i −1.23039 0.00909325i
\(369\) −3.10227 + 3.10227i −0.161498 + 0.161498i
\(370\) −55.3896 16.9141i −2.87957 0.879320i
\(371\) 1.90616 9.58291i 0.0989629 0.497520i
\(372\) −10.2569 10.3330i −0.531794 0.535739i
\(373\) −0.177392 0.118530i −0.00918504 0.00613724i 0.550969 0.834526i \(-0.314258\pi\)
−0.560154 + 0.828388i \(0.689258\pi\)
\(374\) 1.18968 + 0.638725i 0.0615168 + 0.0330277i
\(375\) 4.73123 11.4222i 0.244320 0.589840i
\(376\) 8.50203 + 28.5971i 0.438458 + 1.47478i
\(377\) −8.74454 21.1112i −0.450366 1.08728i
\(378\) −1.83813 0.184470i −0.0945432 0.00948810i
\(379\) 5.76906 + 29.0030i 0.296337 + 1.48979i 0.786192 + 0.617982i \(0.212050\pi\)
−0.489855 + 0.871804i \(0.662950\pi\)
\(380\) 11.7518 2.29246i 0.602852 0.117601i
\(381\) 4.61633 + 6.90883i 0.236502 + 0.353950i
\(382\) −2.00758 + 2.43705i −0.102717 + 0.124690i
\(383\) 12.8505 0.656630 0.328315 0.944568i \(-0.393519\pi\)
0.328315 + 0.944568i \(0.393519\pi\)
\(384\) −5.20376 10.0459i −0.265553 0.512655i
\(385\) 0.948635 0.0483469
\(386\) −17.3156 + 21.0198i −0.881341 + 1.06988i
\(387\) 4.87955 + 7.30276i 0.248041 + 0.371220i
\(388\) 12.8297 2.50273i 0.651328 0.127057i
\(389\) 5.91554 + 29.7394i 0.299930 + 1.50785i 0.777291 + 0.629141i \(0.216593\pi\)
−0.477362 + 0.878707i \(0.658407\pi\)
\(390\) 20.1307 + 2.02026i 1.01936 + 0.102300i
\(391\) −10.8602 26.2189i −0.549226 1.32595i
\(392\) 14.3518 4.26684i 0.724875 0.215508i
\(393\) 0.0579752 0.139964i 0.00292446 0.00706027i
\(394\) 18.9642 + 10.1817i 0.955403 + 0.512945i
\(395\) −33.7262 22.5351i −1.69695 1.13386i
\(396\) 0.279730 + 0.281805i 0.0140570 + 0.0141612i
\(397\) 0.547363 2.75178i 0.0274713 0.138108i −0.964616 0.263660i \(-0.915070\pi\)
0.992087 + 0.125552i \(0.0400703\pi\)
\(398\) 25.0770 + 7.65764i 1.25700 + 0.383843i
\(399\) 1.51174 1.51174i 0.0756818 0.0756818i
\(400\) 23.8765 23.5262i 1.19383 1.17631i
\(401\) 5.30890 + 5.30890i 0.265114 + 0.265114i 0.827128 0.562014i \(-0.189973\pi\)
−0.562014 + 0.827128i \(0.689973\pi\)
\(402\) 3.12566 + 5.87378i 0.155894 + 0.292958i
\(403\) 27.9240 + 5.55443i 1.39099 + 0.276686i
\(404\) 9.31097 + 22.7157i 0.463238 + 1.13015i
\(405\) 2.03220 3.04140i 0.100981 0.151128i
\(406\) −10.3344 + 3.11405i −0.512885 + 0.154548i
\(407\) 2.05350 + 0.850589i 0.101788 + 0.0421622i
\(408\) 8.68760 10.4670i 0.430100 0.518195i
\(409\) 31.4593 13.0309i 1.55556 0.644336i 0.571253 0.820774i \(-0.306458\pi\)
0.984312 + 0.176438i \(0.0564576\pi\)
\(410\) −14.3653 17.5703i −0.709453 0.867736i
\(411\) 19.3219 3.84337i 0.953079 0.189579i
\(412\) 3.61707 + 5.45687i 0.178200 + 0.268840i
\(413\) −8.51471 + 5.68935i −0.418981 + 0.279954i
\(414\) −0.802624 8.30648i −0.0394468 0.408241i
\(415\) 29.9617i 1.47076i
\(416\) 19.4147 + 10.6091i 0.951882 + 0.520154i
\(417\) 6.16816i 0.302056i
\(418\) −0.457391 + 0.0441959i −0.0223717 + 0.00216169i
\(419\) −20.2970 + 13.5620i −0.991575 + 0.662549i −0.941787 0.336211i \(-0.890855\pi\)
−0.0497881 + 0.998760i \(0.515855\pi\)
\(420\) 1.89898 9.36582i 0.0926608 0.457005i
\(421\) −13.5127 + 2.68784i −0.658567 + 0.130997i −0.513050 0.858359i \(-0.671484\pi\)
−0.145517 + 0.989356i \(0.546484\pi\)
\(422\) −5.11318 + 4.18049i −0.248906 + 0.203503i
\(423\) −9.74505 + 4.03653i −0.473821 + 0.196263i
\(424\) 9.86925 + 18.7128i 0.479293 + 0.908775i
\(425\) 37.2336 + 15.4227i 1.80610 + 0.748109i
\(426\) 3.95307 + 13.1187i 0.191527 + 0.635605i
\(427\) −1.01364 + 1.51702i −0.0490535 + 0.0734137i
\(428\) −19.6894 8.24097i −0.951722 0.398343i
\(429\) −0.761557 0.151483i −0.0367683 0.00731367i
\(430\) −40.1089 + 21.3435i −1.93422 + 1.02927i
\(431\) −20.9078 20.9078i −1.00709 1.00709i −0.999975 0.00711650i \(-0.997735\pi\)
−0.00711650 0.999975i \(-0.502265\pi\)
\(432\) 3.34221 2.19764i 0.160802 0.105734i
\(433\) −0.457834 + 0.457834i −0.0220021 + 0.0220021i −0.718022 0.696020i \(-0.754952\pi\)
0.696020 + 0.718022i \(0.254952\pi\)
\(434\) 3.92757 12.8619i 0.188529 0.617389i
\(435\) 4.16933 20.9606i 0.199904 1.00499i
\(436\) 0.0710428 19.2257i 0.00340233 0.920742i
\(437\) 8.03012 + 5.36556i 0.384133 + 0.256669i
\(438\) 1.25394 2.33556i 0.0599155 0.111598i
\(439\) 6.59677 15.9260i 0.314847 0.760107i −0.684665 0.728858i \(-0.740052\pi\)
0.999512 0.0312490i \(-0.00994849\pi\)
\(440\) −1.59498 + 1.29424i −0.0760379 + 0.0617005i
\(441\) 2.02578 + 4.89067i 0.0964658 + 0.232889i
\(442\) −2.65620 + 26.4674i −0.126343 + 1.25893i
\(443\) 2.90152 + 14.5869i 0.137856 + 0.693047i 0.986458 + 0.164015i \(0.0524446\pi\)
−0.848602 + 0.529031i \(0.822555\pi\)
\(444\) 12.5085 18.5714i 0.593629 0.881361i
\(445\) −21.5777 32.2934i −1.02288 1.53085i
\(446\) 10.9369 + 9.00958i 0.517879 + 0.426616i
\(447\) −5.96868 −0.282309
\(448\) 5.90182 8.62418i 0.278835 0.407454i
\(449\) 15.4273 0.728058 0.364029 0.931388i \(-0.381401\pi\)
0.364029 + 0.931388i \(0.381401\pi\)
\(450\) 9.14705 + 7.53511i 0.431196 + 0.355209i
\(451\) 0.483915 + 0.724229i 0.0227866 + 0.0341026i
\(452\) −7.04157 4.74276i −0.331208 0.223081i
\(453\) −3.22192 16.1977i −0.151379 0.761034i
\(454\) 0.702034 6.99535i 0.0329481 0.328308i
\(455\) 7.15150 + 17.2653i 0.335268 + 0.809408i
\(456\) −0.479263 + 4.60427i −0.0224435 + 0.215615i
\(457\) 4.44301 10.7264i 0.207835 0.501758i −0.785247 0.619183i \(-0.787464\pi\)
0.993082 + 0.117425i \(0.0374639\pi\)
\(458\) 4.42959 8.25047i 0.206981 0.385519i
\(459\) 3.99877 + 2.67189i 0.186646 + 0.124713i
\(460\) 43.1692 + 0.159519i 2.01277 + 0.00743762i
\(461\) −1.96662 + 9.88687i −0.0915946 + 0.460477i 0.907581 + 0.419877i \(0.137927\pi\)
−0.999175 + 0.0405999i \(0.987073\pi\)
\(462\) −0.107114 + 0.350774i −0.00498341 + 0.0163195i
\(463\) −20.2792 + 20.2792i −0.942453 + 0.942453i −0.998432 0.0559787i \(-0.982172\pi\)
0.0559787 + 0.998432i \(0.482172\pi\)
\(464\) 13.1271 19.3352i 0.609409 0.897613i
\(465\) 18.8288 + 18.8288i 0.873164 + 0.873164i
\(466\) −13.6004 + 7.23727i −0.630025 + 0.335260i
\(467\) −6.72549 1.33778i −0.311219 0.0619053i 0.0370098 0.999315i \(-0.488217\pi\)
−0.348229 + 0.937410i \(0.613217\pi\)
\(468\) −3.02007 + 7.21557i −0.139603 + 0.333540i
\(469\) −3.41445 + 5.11009i −0.157665 + 0.235962i
\(470\) −15.7428 52.2442i −0.726159 2.40985i
\(471\) 2.98629 + 1.23696i 0.137601 + 0.0569963i
\(472\) 6.55409 21.1826i 0.301676 0.975006i
\(473\) 1.61098 0.667291i 0.0740731 0.0306821i
\(474\) 12.1409 9.92631i 0.557651 0.455931i
\(475\) −13.4515 + 2.67566i −0.617196 + 0.122768i
\(476\) 12.3140 + 2.49674i 0.564411 + 0.114438i
\(477\) −6.21917 + 4.15552i −0.284756 + 0.190268i
\(478\) 37.7814 3.65068i 1.72808 0.166978i
\(479\) 23.5713i 1.07700i −0.842626 0.538500i \(-0.818991\pi\)
0.842626 0.538500i \(-0.181009\pi\)
\(480\) 9.58513 + 18.3380i 0.437499 + 0.837012i
\(481\) 43.7864i 1.99649i
\(482\) −1.42702 14.7684i −0.0649989 0.672684i
\(483\) 6.40920 4.28249i 0.291629 0.194860i
\(484\) −18.2717 + 12.1113i −0.830530 + 0.550514i
\(485\) −23.4475 + 4.66399i −1.06470 + 0.211781i
\(486\) 0.895146 + 1.09486i 0.0406047 + 0.0496637i
\(487\) −16.3288 + 6.76359i −0.739927 + 0.306488i −0.720624 0.693326i \(-0.756145\pi\)
−0.0193027 + 0.999814i \(0.506145\pi\)
\(488\) −0.365420 3.93357i −0.0165418 0.178064i
\(489\) −10.7516 4.45346i −0.486205 0.201393i
\(490\) −26.2194 + 7.90069i −1.18447 + 0.356917i
\(491\) 4.13695 6.19138i 0.186698 0.279413i −0.726300 0.687378i \(-0.758762\pi\)
0.912997 + 0.407965i \(0.133762\pi\)
\(492\) 8.11898 3.32790i 0.366032 0.150033i
\(493\) 27.5586 + 5.48175i 1.24118 + 0.246885i
\(494\) −4.25252 7.99138i −0.191330 0.359549i
\(495\) −0.513507 0.513507i −0.0230804 0.0230804i
\(496\) 10.9441 + 26.9837i 0.491404 + 1.21160i
\(497\) −8.94895 + 8.94895i −0.401415 + 0.401415i
\(498\) 11.0789 + 3.38310i 0.496456 + 0.151600i
\(499\) 2.64752 13.3100i 0.118519 0.595836i −0.875184 0.483790i \(-0.839260\pi\)
0.993703 0.112045i \(-0.0357402\pi\)
\(500\) −17.5488 + 17.4196i −0.784807 + 0.779029i
\(501\) −16.2835 10.8803i −0.727493 0.486095i
\(502\) 25.3047 + 13.5858i 1.12940 + 0.606365i
\(503\) 2.32837 5.62119i 0.103817 0.250636i −0.863432 0.504465i \(-0.831690\pi\)
0.967249 + 0.253828i \(0.0816898\pi\)
\(504\) 3.24875 + 1.75972i 0.144711 + 0.0783840i
\(505\) −17.1825 41.4822i −0.764611 1.84593i
\(506\) −1.64852 0.165441i −0.0732856 0.00735474i
\(507\) −0.447990 2.25220i −0.0198959 0.100024i
\(508\) −3.18183 16.3109i −0.141171 0.723680i
\(509\) 11.8294 + 17.7040i 0.524330 + 0.784716i 0.995239 0.0974662i \(-0.0310738\pi\)
−0.470908 + 0.882182i \(0.656074\pi\)
\(510\) −15.8182 + 19.2020i −0.700440 + 0.850280i
\(511\) 2.44858 0.108319
\(512\) 1.84314 + 22.5522i 0.0814561 + 0.996677i
\(513\) −1.63665 −0.0722598
\(514\) 1.24026 1.50558i 0.0547055 0.0664083i
\(515\) −6.65219 9.95571i −0.293131 0.438701i
\(516\) −3.36326 17.2409i −0.148059 0.758990i
\(517\) 0.408545 + 2.05389i 0.0179678 + 0.0903301i
\(518\) 20.5789 + 2.06524i 0.904184 + 0.0907415i
\(519\) −5.31957 12.8426i −0.233503 0.563727i
\(520\) −35.5795 19.2719i −1.56026 0.845131i
\(521\) −1.46823 + 3.54461i −0.0643242 + 0.155292i −0.952773 0.303683i \(-0.901783\pi\)
0.888449 + 0.458976i \(0.151783\pi\)
\(522\) 7.27979 + 3.90844i 0.318628 + 0.171068i
\(523\) 23.2525 + 15.5368i 1.01676 + 0.679378i 0.948005 0.318256i \(-0.103097\pi\)
0.0687557 + 0.997634i \(0.478097\pi\)
\(524\) −0.215039 + 0.213455i −0.00939400 + 0.00932483i
\(525\) −2.13557 + 10.7362i −0.0932038 + 0.468567i
\(526\) −6.59115 2.01271i −0.287388 0.0877583i
\(527\) −24.7557 + 24.7557i −1.07838 + 1.07838i
\(528\) −0.298472 0.735912i −0.0129893 0.0320264i
\(529\) 8.35867 + 8.35867i 0.363420 + 0.363420i
\(530\) −18.1765 34.1575i −0.789537 1.48371i
\(531\) 7.68882 + 1.52940i 0.333667 + 0.0663704i
\(532\) −3.95639 + 1.62169i −0.171531 + 0.0703092i
\(533\) −9.53295 + 14.2671i −0.412918 + 0.617975i
\(534\) 14.3775 4.33237i 0.622174 0.187480i
\(535\) 36.0659 + 14.9390i 1.55927 + 0.645869i
\(536\) −1.23092 13.2502i −0.0531676 0.572324i
\(537\) −22.3682 + 9.26520i −0.965258 + 0.399823i
\(538\) 3.70685 + 4.53387i 0.159814 + 0.195469i
\(539\) 1.03077 0.205033i 0.0443984 0.00883139i
\(540\) −6.09777 + 4.04189i −0.262406 + 0.173935i
\(541\) −10.5737 + 7.06514i −0.454600 + 0.303754i −0.761708 0.647921i \(-0.775639\pi\)
0.307108 + 0.951675i \(0.400639\pi\)
\(542\) 0.934932 + 9.67576i 0.0401588 + 0.415610i
\(543\) 20.5683i 0.882672i
\(544\) −24.1104 + 12.6023i −1.03373 + 0.540320i
\(545\) 35.1626i 1.50620i
\(546\) −7.19164 + 0.694901i −0.307774 + 0.0297390i
\(547\) 33.6594 22.4905i 1.43917 0.961623i 0.441235 0.897391i \(-0.354540\pi\)
0.997935 0.0642313i \(-0.0204595\pi\)
\(548\) −38.6151 7.82947i −1.64956 0.334459i
\(549\) 1.36988 0.272485i 0.0584649 0.0116294i
\(550\) 1.82151 1.48925i 0.0776696 0.0635020i
\(551\) −8.83435 + 3.65931i −0.376356 + 0.155892i
\(552\) −4.93340 + 15.9446i −0.209980 + 0.678646i
\(553\) 13.3828 + 5.54333i 0.569094 + 0.235726i
\(554\) −6.96988 23.1304i −0.296122 0.982716i
\(555\) −22.7516 + 34.0501i −0.965750 + 1.44535i
\(556\) 4.76299 11.3797i 0.201996 0.482609i
\(557\) 32.9955 + 6.56322i 1.39807 + 0.278092i 0.835877 0.548917i \(-0.184960\pi\)
0.562188 + 0.827009i \(0.309960\pi\)
\(558\) −9.08832 + 4.83624i −0.384739 + 0.204734i
\(559\) 24.2895 + 24.2895i 1.02734 + 1.02734i
\(560\) −10.7357 + 15.8128i −0.453664 + 0.668213i
\(561\) 0.675149 0.675149i 0.0285048 0.0285048i
\(562\) −1.95734 + 6.40981i −0.0825652 + 0.270382i
\(563\) −4.55918 + 22.9206i −0.192147 + 0.965986i 0.757541 + 0.652788i \(0.226401\pi\)
−0.949688 + 0.313199i \(0.898599\pi\)
\(564\) 21.0958 + 0.0779533i 0.888293 + 0.00328243i
\(565\) 12.9105 + 8.62652i 0.543149 + 0.362920i
\(566\) 3.17949 5.92207i 0.133644 0.248923i
\(567\) −0.499893 + 1.20685i −0.0209935 + 0.0506829i
\(568\) 2.83706 27.2555i 0.119040 1.14362i
\(569\) −8.28246 19.9956i −0.347219 0.838261i −0.996946 0.0780932i \(-0.975117\pi\)
0.649727 0.760168i \(-0.274883\pi\)
\(570\) 0.845416 8.42406i 0.0354106 0.352845i
\(571\) −8.18055 41.1264i −0.342345 1.72109i −0.641710 0.766948i \(-0.721775\pi\)
0.299364 0.954139i \(-0.403225\pi\)
\(572\) 1.28804 + 0.867540i 0.0538555 + 0.0362737i
\(573\) 1.24040 + 1.85639i 0.0518185 + 0.0775518i
\(574\) 6.25566 + 5.15326i 0.261106 + 0.215093i
\(575\) −49.4493 −2.06218
\(576\) −7.86310 + 1.47365i −0.327629 + 0.0614020i
\(577\) 12.5421 0.522135 0.261068 0.965321i \(-0.415925\pi\)
0.261068 + 0.965321i \(0.415925\pi\)
\(578\) −6.69020 5.51122i −0.278276 0.229237i
\(579\) 10.6986 + 16.0116i 0.444619 + 0.665419i
\(580\) −23.8777 + 35.4511i −0.991466 + 1.47203i
\(581\) 2.08743 + 10.4942i 0.0866014 + 0.435374i
\(582\) 0.922960 9.19675i 0.0382579 0.381217i
\(583\) 0.568278 + 1.37194i 0.0235357 + 0.0568201i
\(584\) −4.11691 + 3.34065i −0.170359 + 0.138237i
\(585\) 5.47470 13.2171i 0.226351 0.546459i
\(586\) 4.77395 8.89187i 0.197210 0.367320i
\(587\) −2.09167 1.39761i −0.0863325 0.0576855i 0.511655 0.859191i \(-0.329033\pi\)
−0.597987 + 0.801506i \(0.704033\pi\)
\(588\) 0.0391218 10.5872i 0.00161336 0.436608i
\(589\) 2.32435 11.6853i 0.0957733 0.481485i
\(590\) −11.8437 + 38.7854i −0.487599 + 1.59677i
\(591\) 10.7623 10.7623i 0.442701 0.442701i
\(592\) −37.4179 + 24.6038i −1.53787 + 1.01121i
\(593\) −23.0604 23.0604i −0.946976 0.946976i 0.0516877 0.998663i \(-0.483540\pi\)
−0.998663 + 0.0516877i \(0.983540\pi\)
\(594\) 0.247861 0.131896i 0.0101698 0.00541176i
\(595\) −22.5381 4.48311i −0.923973 0.183790i
\(596\) 11.0117 + 4.60895i 0.451058 + 0.188790i
\(597\) 10.3005 15.4158i 0.421572 0.630926i
\(598\) −9.41670 31.2504i −0.385078 1.27793i
\(599\) 19.8116 + 8.20624i 0.809480 + 0.335298i 0.748747 0.662856i \(-0.230656\pi\)
0.0607337 + 0.998154i \(0.480656\pi\)
\(600\) −11.0570 20.9649i −0.451401 0.855889i
\(601\) −16.8700 + 6.98779i −0.688142 + 0.285038i −0.699226 0.714901i \(-0.746472\pi\)
0.0110839 + 0.999939i \(0.496472\pi\)
\(602\) 12.5613 10.2700i 0.511962 0.418576i
\(603\) 4.61444 0.917869i 0.187914 0.0373785i
\(604\) −6.56351 + 32.3714i −0.267065 + 1.31717i
\(605\) 33.3355 22.2741i 1.35528 0.905570i
\(606\) 17.2789 1.66960i 0.701908 0.0678228i
\(607\) 26.2051i 1.06363i 0.846860 + 0.531815i \(0.178490\pi\)
−0.846860 + 0.531815i \(0.821510\pi\)
\(608\) 4.43957 8.12441i 0.180048 0.329489i
\(609\) 7.63205i 0.309266i
\(610\) 0.694906 + 7.19169i 0.0281359 + 0.291183i
\(611\) −34.3012 + 22.9193i −1.38768 + 0.927216i
\(612\) −5.31419 8.01722i −0.214813 0.324077i
\(613\) −15.9508 + 3.17282i −0.644248 + 0.128149i −0.506392 0.862303i \(-0.669021\pi\)
−0.137856 + 0.990452i \(0.544021\pi\)
\(614\) −15.7810 19.3018i −0.636870 0.778959i
\(615\) −14.8264 + 6.14132i −0.597860 + 0.247642i
\(616\) 0.468481 0.564437i 0.0188757 0.0227418i
\(617\) −12.3333 5.10860i −0.496518 0.205665i 0.120349 0.992732i \(-0.461599\pi\)
−0.616868 + 0.787067i \(0.711599\pi\)
\(618\) 4.43242 1.33562i 0.178298 0.0537267i
\(619\) 8.00890 11.9862i 0.321905 0.481765i −0.634860 0.772627i \(-0.718942\pi\)
0.956765 + 0.290862i \(0.0939422\pi\)
\(620\) −20.1982 49.2770i −0.811179 1.97901i
\(621\) −5.78754 1.15121i −0.232246 0.0461966i
\(622\) 0.632172 + 1.18799i 0.0253478 + 0.0476339i
\(623\) 9.80760 + 9.80760i 0.392933 + 0.392933i
\(624\) 11.1436 10.9801i 0.446100 0.439555i
\(625\) 2.35010 2.35010i 0.0940039 0.0940039i
\(626\) −40.6177 12.4032i −1.62341 0.495733i
\(627\) −0.0633908 + 0.318687i −0.00253158 + 0.0127271i
\(628\) −4.55430 4.58808i −0.181736 0.183084i
\(629\) −44.7684 29.9133i −1.78503 1.19272i
\(630\) −5.95359 3.19642i −0.237197 0.127348i
\(631\) −1.25822 + 3.03762i −0.0500891 + 0.120926i −0.946943 0.321400i \(-0.895847\pi\)
0.896854 + 0.442326i \(0.145847\pi\)
\(632\) −30.0640 + 8.93814i −1.19588 + 0.355540i
\(633\) 1.78720 + 4.31468i 0.0710348 + 0.171493i
\(634\) 30.9263 + 3.10368i 1.22824 + 0.123263i
\(635\) 5.92954 + 29.8098i 0.235307 + 1.18297i
\(636\) 14.6827 2.86421i 0.582208 0.113573i
\(637\) 11.5023 + 17.2144i 0.455739 + 0.682061i
\(638\) 1.04301 1.26613i 0.0412931 0.0501266i
\(639\) 9.68835 0.383265
\(640\) −3.52336 41.2337i −0.139273 1.62990i
\(641\) −4.48078 −0.176980 −0.0884902 0.996077i \(-0.528204\pi\)
−0.0884902 + 0.996077i \(0.528204\pi\)
\(642\) −9.59631 + 11.6492i −0.378736 + 0.459756i
\(643\) 16.9882 + 25.4247i 0.669950 + 1.00265i 0.998311 + 0.0580984i \(0.0185037\pi\)
−0.328361 + 0.944552i \(0.606496\pi\)
\(644\) −15.1313 + 2.95173i −0.596259 + 0.116314i
\(645\) 6.26763 + 31.5095i 0.246788 + 1.24069i
\(646\) 11.0758 + 1.11153i 0.435771 + 0.0437327i
\(647\) 4.54775 + 10.9792i 0.178791 + 0.431639i 0.987713 0.156276i \(-0.0499490\pi\)
−0.808923 + 0.587915i \(0.799949\pi\)
\(648\) −0.806034 2.71115i −0.0316640 0.106504i
\(649\) 0.595608 1.43792i 0.0233797 0.0564435i
\(650\) 40.8365 + 21.9247i 1.60174 + 0.859956i
\(651\) −7.90668 5.28308i −0.309887 0.207060i
\(652\) 16.3969 + 16.5186i 0.642153 + 0.646917i
\(653\) 3.94799 19.8479i 0.154497 0.776707i −0.823374 0.567498i \(-0.807911\pi\)
0.977871 0.209208i \(-0.0670887\pi\)
\(654\) −13.0020 3.97036i −0.508418 0.155253i
\(655\) 0.391845 0.391845i 0.0153107 0.0153107i
\(656\) −17.5486 0.129693i −0.685159 0.00506367i
\(657\) −1.32544 1.32544i −0.0517105 0.0517105i
\(658\) 9.15384 + 17.2020i 0.356854 + 0.670604i
\(659\) −12.1097 2.40876i −0.471725 0.0938320i −0.0464977 0.998918i \(-0.514806\pi\)
−0.425228 + 0.905086i \(0.639806\pi\)
\(660\) 0.550854 + 1.34390i 0.0214420 + 0.0523114i
\(661\) −7.87981 + 11.7930i −0.306489 + 0.458693i −0.952458 0.304671i \(-0.901454\pi\)
0.645969 + 0.763364i \(0.276454\pi\)
\(662\) 15.9653 4.81083i 0.620510 0.186978i
\(663\) 17.3775 + 7.19801i 0.674888 + 0.279548i
\(664\) −17.8272 14.7965i −0.691830 0.574217i
\(665\) 7.22496 2.99267i 0.280172 0.116051i
\(666\) −10.0217 12.2575i −0.388331 0.474970i
\(667\) −33.8141 + 6.72604i −1.30929 + 0.260433i
\(668\) 21.6401 + 32.6472i 0.837280 + 1.26316i
\(669\) 8.33108 5.56665i 0.322098 0.215219i
\(670\) 2.34080 + 24.2253i 0.0904329 + 0.935904i
\(671\) 0.277295i 0.0107049i
\(672\) −4.63485 5.75519i −0.178793 0.222011i
\(673\) 4.98171i 0.192031i 0.995380 + 0.0960155i \(0.0306098\pi\)
−0.995380 + 0.0960155i \(0.969390\pi\)
\(674\) 39.8501 3.85056i 1.53497 0.148318i
\(675\) 6.96765 4.65564i 0.268185 0.179196i
\(676\) −0.912618 + 4.50105i −0.0351007 + 0.173117i
\(677\) 34.8922 6.94050i 1.34102 0.266745i 0.528129 0.849164i \(-0.322894\pi\)
0.812889 + 0.582419i \(0.197894\pi\)
\(678\) −4.64758 + 3.79983i −0.178489 + 0.145931i
\(679\) 7.88766 3.26717i 0.302700 0.125383i
\(680\) 44.0108 23.2116i 1.68774 0.890123i
\(681\) −4.59289 1.90244i −0.176000 0.0729015i
\(682\) 0.589699 + 1.95699i 0.0225807 + 0.0749369i
\(683\) 20.6276 30.8714i 0.789294 1.18126i −0.190585 0.981671i \(-0.561038\pi\)
0.979879 0.199592i \(-0.0639616\pi\)
\(684\) 3.01948 + 1.26380i 0.115453 + 0.0483227i
\(685\) 70.6768 + 14.0585i 2.70042 + 0.537147i
\(686\) 20.0489 10.6688i 0.765470 0.407335i
\(687\) −4.68219 4.68219i −0.178637 0.178637i
\(688\) −7.10834 + 34.4052i −0.271003 + 1.31169i
\(689\) −20.6854 + 20.6854i −0.788053 + 0.788053i
\(690\) 8.91503 29.1946i 0.339389 1.11142i
\(691\) 3.38609 17.0230i 0.128813 0.647587i −0.861389 0.507946i \(-0.830405\pi\)
0.990202 0.139641i \(-0.0445949\pi\)
\(692\) −0.102731 + 27.8012i −0.00390526 + 1.05684i
\(693\) 0.215635 + 0.144082i 0.00819128 + 0.00547324i
\(694\) −14.1001 + 26.2627i −0.535234 + 0.996918i
\(695\) −8.63420 + 20.8448i −0.327514 + 0.790688i
\(696\) −10.4126 12.8321i −0.394687 0.486400i
\(697\) −8.07447 19.4935i −0.305842 0.738369i
\(698\) −0.365277 + 3.63976i −0.0138259 + 0.137767i
\(699\) 2.12527 + 10.6844i 0.0803850 + 0.404123i
\(700\) 12.2303 18.1584i 0.462264 0.686323i
\(701\) 7.68353 + 11.4992i 0.290203 + 0.434319i 0.947712 0.319127i \(-0.103390\pi\)
−0.657509 + 0.753447i \(0.728390\pi\)
\(702\) 4.26908 + 3.51676i 0.161126 + 0.132732i
\(703\) 18.3232 0.691072
\(704\) −0.0176065 + 1.58817i −0.000663571 + 0.0598566i
\(705\) −38.5830 −1.45312
\(706\) 2.52688 + 2.08158i 0.0951003 + 0.0783413i
\(707\) 8.90833 + 13.3323i 0.335032 + 0.501411i
\(708\) −13.0043 8.75885i −0.488730 0.329178i
\(709\) −7.70005 38.7108i −0.289182 1.45381i −0.803033 0.595935i \(-0.796782\pi\)
0.513851 0.857879i \(-0.328218\pi\)
\(710\) −5.00454 + 49.8673i −0.187817 + 1.87149i
\(711\) −4.24359 10.2449i −0.159147 0.384215i
\(712\) −29.8707 3.10927i −1.11945 0.116525i
\(713\) 16.4388 39.6868i 0.615638 1.48628i
\(714\) 4.20258 7.82766i 0.157278 0.292943i
\(715\) −2.36157 1.57795i −0.0883178 0.0590121i
\(716\) 48.4220 + 0.178929i 1.80961 + 0.00668689i
\(717\) 5.23621 26.3242i 0.195550 0.983096i
\(718\) −3.30006 + 10.8069i −0.123157 + 0.403311i
\(719\) −18.6339 + 18.6339i −0.694926 + 0.694926i −0.963312 0.268385i \(-0.913510\pi\)
0.268385 + 0.963312i \(0.413510\pi\)
\(720\) 14.3710 2.74832i 0.535575 0.102424i
\(721\) 3.02358 + 3.02358i 0.112604 + 0.112604i
\(722\) 20.3765 10.8431i 0.758335 0.403539i
\(723\) −10.2899 2.04679i −0.382686 0.0761210i
\(724\) 15.8827 37.9469i 0.590274 1.41029i
\(725\) 27.2009 40.7090i 1.01021 1.51189i
\(726\) 4.47218 + 14.8414i 0.165978 + 0.550818i
\(727\) −13.3918 5.54705i −0.496673 0.205729i 0.120263 0.992742i \(-0.461626\pi\)
−0.616936 + 0.787013i \(0.711626\pi\)
\(728\) 13.8046 + 4.27127i 0.511632 + 0.158304i
\(729\) 0.923880 0.382683i 0.0342178 0.0141735i
\(730\) 7.50691 6.13758i 0.277843 0.227162i
\(731\) −41.4280 + 8.24055i −1.53227 + 0.304788i
\(732\) −2.73772 0.555091i −0.101189 0.0205167i
\(733\) −14.4510 + 9.65582i −0.533758 + 0.356646i −0.793053 0.609152i \(-0.791510\pi\)
0.259295 + 0.965798i \(0.416510\pi\)
\(734\) −19.5343 + 1.88752i −0.721022 + 0.0696697i
\(735\) 19.3633i 0.714227i
\(736\) 21.4139 25.6069i 0.789329 0.943883i
\(737\) 0.934071i 0.0344069i
\(738\) −0.596742 6.17578i −0.0219664 0.227334i
\(739\) 27.1683 18.1533i 0.999401 0.667779i 0.0556553 0.998450i \(-0.482275\pi\)
0.943746 + 0.330671i \(0.107275\pi\)
\(740\) 68.2679 45.2512i 2.50958 1.66347i
\(741\) −6.27802 + 1.24878i −0.230629 + 0.0458750i
\(742\) 8.74616 + 10.6975i 0.321082 + 0.392717i
\(743\) −1.39715 + 0.578718i −0.0512564 + 0.0212311i −0.408164 0.912908i \(-0.633831\pi\)
0.356908 + 0.934140i \(0.383831\pi\)
\(744\) 20.5017 1.90456i 0.751628 0.0698247i
\(745\) −20.1707 8.35497i −0.738997 0.306102i
\(746\) 0.288889 0.0870510i 0.0105770 0.00318717i
\(747\) 4.55070 6.81061i 0.166502 0.249187i
\(748\) −1.76694 + 0.724251i −0.0646056 + 0.0264813i
\(749\) −13.6731 2.71974i −0.499603 0.0993772i
\(750\) 8.21356 + 15.4350i 0.299917 + 0.563607i
\(751\) −14.2852 14.2852i −0.521274 0.521274i 0.396682 0.917956i \(-0.370162\pi\)
−0.917956 + 0.396682i \(0.870162\pi\)
\(752\) −38.8598 16.4338i −1.41707 0.599278i
\(753\) 14.3606 14.3606i 0.523328 0.523328i
\(754\) 30.9067 + 9.43784i 1.12556 + 0.343706i
\(755\) 11.7853 59.2489i 0.428912 2.15629i
\(756\) 1.85418 1.84052i 0.0674358 0.0669392i
\(757\) −7.91280 5.28717i −0.287596 0.192165i 0.403401 0.915023i \(-0.367828\pi\)
−0.690997 + 0.722858i \(0.742828\pi\)
\(758\) −36.8455 19.7820i −1.33829 0.718513i
\(759\) −0.448327 + 1.08236i −0.0162732 + 0.0392871i
\(760\) −8.06469 + 14.8889i −0.292537 + 0.540076i
\(761\) −8.41830 20.3236i −0.305163 0.736729i −0.999848 0.0174150i \(-0.994456\pi\)
0.694685 0.719314i \(-0.255544\pi\)
\(762\) −11.6922 1.17340i −0.423565 0.0425078i
\(763\) −2.44978 12.3159i −0.0886880 0.445865i
\(764\) −0.854952 4.38271i −0.0309311 0.158561i
\(765\) 9.77339 + 14.6269i 0.353358 + 0.528837i
\(766\) −11.5550 + 14.0269i −0.417498 + 0.506811i
\(767\) 30.6605 1.10709
\(768\) 15.6447 + 3.35304i 0.564530 + 0.120993i
\(769\) 23.8552 0.860241 0.430120 0.902772i \(-0.358471\pi\)
0.430120 + 0.902772i \(0.358471\pi\)
\(770\) −0.852999 + 1.03547i −0.0307399 + 0.0373159i
\(771\) −0.766306 1.14686i −0.0275978 0.0413031i
\(772\) −7.37407 37.8014i −0.265398 1.36050i
\(773\) 5.32227 + 26.7568i 0.191429 + 0.962377i 0.950347 + 0.311191i \(0.100728\pi\)