Properties

Label 144.2.u.a.11.2
Level $144$
Weight $2$
Character 144.11
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 11.2
Character \(\chi\) \(=\) 144.11
Dual form 144.2.u.a.131.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.39618 + 0.225141i) q^{2} +(-1.36987 + 1.05993i) q^{3} +(1.89862 - 0.628673i) q^{4} +(-2.78704 - 0.746784i) q^{5} +(1.67395 - 1.78827i) q^{6} +(1.16672 - 2.02082i) q^{7} +(-2.50928 + 1.30520i) q^{8} +(0.753089 - 2.90394i) q^{9} +O(q^{10})\) \(q+(-1.39618 + 0.225141i) q^{2} +(-1.36987 + 1.05993i) q^{3} +(1.89862 - 0.628673i) q^{4} +(-2.78704 - 0.746784i) q^{5} +(1.67395 - 1.78827i) q^{6} +(1.16672 - 2.02082i) q^{7} +(-2.50928 + 1.30520i) q^{8} +(0.753089 - 2.90394i) q^{9} +(4.05933 + 0.415168i) q^{10} +(5.53982 - 1.48439i) q^{11} +(-1.93452 + 2.87361i) q^{12} +(-3.90572 - 1.04654i) q^{13} +(-1.17398 + 3.08410i) q^{14} +(4.60942 - 1.93107i) q^{15} +(3.20954 - 2.38723i) q^{16} -6.45489i q^{17} +(-0.397651 + 4.22396i) q^{18} +(-1.50499 - 1.50499i) q^{19} +(-5.76102 + 0.334272i) q^{20} +(0.543676 + 4.00491i) q^{21} +(-7.40037 + 3.31971i) q^{22} +(-0.0418190 + 0.0241442i) q^{23} +(2.05396 - 4.44761i) q^{24} +(2.87976 + 1.66263i) q^{25} +(5.68870 + 0.581812i) q^{26} +(2.04634 + 4.77624i) q^{27} +(0.944730 - 4.57027i) q^{28} +(-5.08507 + 1.36254i) q^{29} +(-6.00080 + 3.73389i) q^{30} +(-1.65029 + 0.952797i) q^{31} +(-3.94363 + 4.05559i) q^{32} +(-6.01548 + 7.90525i) q^{33} +(1.45326 + 9.01218i) q^{34} +(-4.76082 + 4.76082i) q^{35} +(-0.395794 - 5.98693i) q^{36} +(0.489763 + 0.489763i) q^{37} +(2.44006 + 1.76239i) q^{38} +(6.45959 - 2.70618i) q^{39} +(7.96814 - 1.76374i) q^{40} +(0.0155357 + 0.0269087i) q^{41} +(-1.66074 - 5.46916i) q^{42} +(-1.01892 - 3.80267i) q^{43} +(9.58483 - 6.30103i) q^{44} +(-4.26750 + 7.53099i) q^{45} +(0.0529509 - 0.0431248i) q^{46} +(0.0913288 - 0.158186i) q^{47} +(-1.86636 + 6.67208i) q^{48} +(0.777520 + 1.34670i) q^{49} +(-4.39498 - 1.67298i) q^{50} +(6.84175 + 8.84237i) q^{51} +(-8.07343 + 0.468445i) q^{52} +(6.62061 - 6.62061i) q^{53} +(-3.93238 - 6.20777i) q^{54} -16.5482 q^{55} +(-0.290058 + 6.59360i) q^{56} +(3.65682 + 0.466453i) q^{57} +(6.79290 - 3.04721i) q^{58} +(1.11363 - 4.15614i) q^{59} +(7.53754 - 6.56419i) q^{60} +(-1.71427 - 6.39775i) q^{61} +(2.08959 - 1.70182i) q^{62} +(-4.98970 - 4.90995i) q^{63} +(4.59293 - 6.55019i) q^{64} +(10.1039 + 5.83347i) q^{65} +(6.61888 - 12.3915i) q^{66} +(0.216578 - 0.808279i) q^{67} +(-4.05802 - 12.2554i) q^{68} +(0.0316954 - 0.0773998i) q^{69} +(5.57509 - 7.71880i) q^{70} -1.04372i q^{71} +(1.90050 + 8.26971i) q^{72} +4.74654i q^{73} +(-0.794061 - 0.573530i) q^{74} +(-5.70717 + 0.774762i) q^{75} +(-3.80354 - 1.91126i) q^{76} +(3.46374 - 12.9269i) q^{77} +(-8.40946 + 5.23263i) q^{78} +(7.29908 + 4.21413i) q^{79} +(-10.7279 + 4.25645i) q^{80} +(-7.86571 - 4.37385i) q^{81} +(-0.0277489 - 0.0340716i) q^{82} +(3.20973 + 11.9789i) q^{83} +(3.55001 + 7.26202i) q^{84} +(-4.82041 + 17.9900i) q^{85} +(2.27873 + 5.07980i) q^{86} +(5.52169 - 7.25633i) q^{87} +(-11.9635 + 10.9553i) q^{88} +2.85193 q^{89} +(4.26266 - 11.4754i) q^{90} +(-6.67175 + 6.67175i) q^{91} +(-0.0642198 + 0.0721313i) q^{92} +(1.25079 - 3.05441i) q^{93} +(-0.0918971 + 0.241418i) q^{94} +(3.07055 + 5.31835i) q^{95} +(1.10361 - 9.73561i) q^{96} +(3.29818 - 5.71262i) q^{97} +(-1.38875 - 1.70519i) q^{98} +(-0.138600 - 17.2052i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} + O(q^{10}) \) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} - 8q^{10} - 6q^{11} - 16q^{12} - 2q^{13} - 6q^{14} - 2q^{16} - 10q^{18} - 8q^{19} - 48q^{20} + 2q^{21} - 2q^{22} - 12q^{23} - 16q^{27} + 8q^{28} - 6q^{29} - 34q^{30} - 6q^{32} - 8q^{33} + 2q^{34} - 26q^{36} - 8q^{37} - 6q^{38} - 32q^{39} - 2q^{40} + 48q^{42} - 2q^{43} + 6q^{45} - 40q^{46} + 42q^{48} - 24q^{49} + 72q^{50} - 12q^{51} - 2q^{52} - 38q^{54} - 16q^{55} + 36q^{56} + 16q^{58} - 42q^{59} + 70q^{60} - 2q^{61} - 44q^{64} - 12q^{65} + 104q^{66} - 2q^{67} + 96q^{68} - 10q^{69} - 16q^{70} - 10q^{72} + 78q^{74} - 56q^{75} - 14q^{76} - 6q^{77} + 12q^{78} - 8q^{81} - 36q^{82} + 54q^{83} + 158q^{84} + 8q^{85} + 54q^{86} + 48q^{87} + 22q^{88} + 64q^{90} + 20q^{91} + 108q^{92} - 34q^{93} + 6q^{94} - 58q^{96} - 4q^{97} + 46q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.39618 + 0.225141i −0.987247 + 0.159198i
\(3\) −1.36987 + 1.05993i −0.790895 + 0.611952i
\(4\) 1.89862 0.628673i 0.949312 0.314336i
\(5\) −2.78704 0.746784i −1.24640 0.333972i −0.425456 0.904979i \(-0.639886\pi\)
−0.820945 + 0.571007i \(0.806553\pi\)
\(6\) 1.67395 1.78827i 0.683387 0.730057i
\(7\) 1.16672 2.02082i 0.440979 0.763799i −0.556783 0.830658i \(-0.687964\pi\)
0.997762 + 0.0668592i \(0.0212978\pi\)
\(8\) −2.50928 + 1.30520i −0.887163 + 0.461456i
\(9\) 0.753089 2.90394i 0.251030 0.967979i
\(10\) 4.05933 + 0.415168i 1.28367 + 0.131288i
\(11\) 5.53982 1.48439i 1.67032 0.447560i 0.705121 0.709087i \(-0.250893\pi\)
0.965196 + 0.261527i \(0.0842259\pi\)
\(12\) −1.93452 + 2.87361i −0.558447 + 0.829540i
\(13\) −3.90572 1.04654i −1.08325 0.290257i −0.327325 0.944912i \(-0.606147\pi\)
−0.755928 + 0.654655i \(0.772814\pi\)
\(14\) −1.17398 + 3.08410i −0.313760 + 0.824261i
\(15\) 4.60942 1.93107i 1.19015 0.498601i
\(16\) 3.20954 2.38723i 0.802385 0.596806i
\(17\) 6.45489i 1.56554i −0.622310 0.782771i \(-0.713806\pi\)
0.622310 0.782771i \(-0.286194\pi\)
\(18\) −0.397651 + 4.22396i −0.0937273 + 0.995598i
\(19\) −1.50499 1.50499i −0.345267 0.345267i 0.513076 0.858343i \(-0.328506\pi\)
−0.858343 + 0.513076i \(0.828506\pi\)
\(20\) −5.76102 + 0.334272i −1.28820 + 0.0747455i
\(21\) 0.543676 + 4.00491i 0.118640 + 0.873943i
\(22\) −7.40037 + 3.31971i −1.57776 + 0.707764i
\(23\) −0.0418190 + 0.0241442i −0.00871987 + 0.00503442i −0.504354 0.863497i \(-0.668269\pi\)
0.495634 + 0.868532i \(0.334936\pi\)
\(24\) 2.05396 4.44761i 0.419263 0.907865i
\(25\) 2.87976 + 1.66263i 0.575952 + 0.332526i
\(26\) 5.68870 + 0.581812i 1.11565 + 0.114103i
\(27\) 2.04634 + 4.77624i 0.393819 + 0.919188i
\(28\) 0.944730 4.57027i 0.178537 0.863699i
\(29\) −5.08507 + 1.36254i −0.944274 + 0.253018i −0.697931 0.716165i \(-0.745896\pi\)
−0.246343 + 0.969183i \(0.579229\pi\)
\(30\) −6.00080 + 3.73389i −1.09559 + 0.681711i
\(31\) −1.65029 + 0.952797i −0.296401 + 0.171127i −0.640825 0.767687i \(-0.721408\pi\)
0.344424 + 0.938814i \(0.388074\pi\)
\(32\) −3.94363 + 4.05559i −0.697142 + 0.716934i
\(33\) −6.01548 + 7.90525i −1.04716 + 1.37613i
\(34\) 1.45326 + 9.01218i 0.249232 + 1.54558i
\(35\) −4.76082 + 4.76082i −0.804725 + 0.804725i
\(36\) −0.395794 5.98693i −0.0659657 0.997822i
\(37\) 0.489763 + 0.489763i 0.0805165 + 0.0805165i 0.746218 0.665702i \(-0.231868\pi\)
−0.665702 + 0.746218i \(0.731868\pi\)
\(38\) 2.44006 + 1.76239i 0.395830 + 0.285898i
\(39\) 6.45959 2.70618i 1.03436 0.433336i
\(40\) 7.96814 1.76374i 1.25987 0.278872i
\(41\) 0.0155357 + 0.0269087i 0.00242628 + 0.00420243i 0.867236 0.497897i \(-0.165894\pi\)
−0.864810 + 0.502100i \(0.832561\pi\)
\(42\) −1.66074 5.46916i −0.256257 0.843910i
\(43\) −1.01892 3.80267i −0.155384 0.579901i −0.999072 0.0430675i \(-0.986287\pi\)
0.843688 0.536834i \(-0.180380\pi\)
\(44\) 9.58483 6.30103i 1.44497 0.949916i
\(45\) −4.26750 + 7.53099i −0.636162 + 1.12265i
\(46\) 0.0529509 0.0431248i 0.00780719 0.00635840i
\(47\) 0.0913288 0.158186i 0.0133217 0.0230738i −0.859288 0.511493i \(-0.829093\pi\)
0.872609 + 0.488419i \(0.162426\pi\)
\(48\) −1.86636 + 6.67208i −0.269386 + 0.963032i
\(49\) 0.777520 + 1.34670i 0.111074 + 0.192386i
\(50\) −4.39498 1.67298i −0.621544 0.236595i
\(51\) 6.84175 + 8.84237i 0.958036 + 1.23818i
\(52\) −8.07343 + 0.468445i −1.11958 + 0.0649616i
\(53\) 6.62061 6.62061i 0.909411 0.909411i −0.0868136 0.996225i \(-0.527668\pi\)
0.996225 + 0.0868136i \(0.0276684\pi\)
\(54\) −3.93238 6.20777i −0.535130 0.844770i
\(55\) −16.5482 −2.23136
\(56\) −0.290058 + 6.59360i −0.0387607 + 0.881107i
\(57\) 3.65682 + 0.466453i 0.484357 + 0.0617832i
\(58\) 6.79290 3.04721i 0.891951 0.400118i
\(59\) 1.11363 4.15614i 0.144983 0.541083i −0.854773 0.519001i \(-0.826304\pi\)
0.999756 0.0220815i \(-0.00702933\pi\)
\(60\) 7.53754 6.56419i 0.973092 0.847434i
\(61\) −1.71427 6.39775i −0.219490 0.819148i −0.984537 0.175174i \(-0.943951\pi\)
0.765047 0.643974i \(-0.222716\pi\)
\(62\) 2.08959 1.70182i 0.265378 0.216132i
\(63\) −4.98970 4.90995i −0.628643 0.618595i
\(64\) 4.59293 6.55019i 0.574116 0.818774i
\(65\) 10.1039 + 5.83347i 1.25323 + 0.723552i
\(66\) 6.61888 12.3915i 0.814728 1.52528i
\(67\) 0.216578 0.808279i 0.0264592 0.0987470i −0.951434 0.307854i \(-0.900389\pi\)
0.977893 + 0.209107i \(0.0670558\pi\)
\(68\) −4.05802 12.2554i −0.492107 1.48619i
\(69\) 0.0316954 0.0773998i 0.00381568 0.00931784i
\(70\) 5.57509 7.71880i 0.666351 0.922573i
\(71\) 1.04372i 0.123867i −0.998080 0.0619333i \(-0.980273\pi\)
0.998080 0.0619333i \(-0.0197266\pi\)
\(72\) 1.90050 + 8.26971i 0.223976 + 0.974595i
\(73\) 4.74654i 0.555540i 0.960648 + 0.277770i \(0.0895953\pi\)
−0.960648 + 0.277770i \(0.910405\pi\)
\(74\) −0.794061 0.573530i −0.0923078 0.0666716i
\(75\) −5.70717 + 0.774762i −0.659008 + 0.0894618i
\(76\) −3.80354 1.91126i −0.436297 0.219236i
\(77\) 3.46374 12.9269i 0.394730 1.47315i
\(78\) −8.40946 + 5.23263i −0.952184 + 0.592478i
\(79\) 7.29908 + 4.21413i 0.821211 + 0.474126i 0.850834 0.525435i \(-0.176097\pi\)
−0.0296228 + 0.999561i \(0.509431\pi\)
\(80\) −10.7279 + 4.25645i −1.19941 + 0.475886i
\(81\) −7.86571 4.37385i −0.873968 0.485983i
\(82\) −0.0277489 0.0340716i −0.00306435 0.00376258i
\(83\) 3.20973 + 11.9789i 0.352313 + 1.31485i 0.883832 + 0.467805i \(0.154955\pi\)
−0.531519 + 0.847047i \(0.678378\pi\)
\(84\) 3.55001 + 7.26202i 0.387338 + 0.792351i
\(85\) −4.82041 + 17.9900i −0.522847 + 1.95129i
\(86\) 2.27873 + 5.07980i 0.245722 + 0.547768i
\(87\) 5.52169 7.25633i 0.591987 0.777961i
\(88\) −11.9635 + 10.9553i −1.27531 + 1.16784i
\(89\) 2.85193 0.302304 0.151152 0.988511i \(-0.451702\pi\)
0.151152 + 0.988511i \(0.451702\pi\)
\(90\) 4.26266 11.4754i 0.449324 1.20961i
\(91\) −6.67175 + 6.67175i −0.699390 + 0.699390i
\(92\) −0.0642198 + 0.0721313i −0.00669537 + 0.00752020i
\(93\) 1.25079 3.05441i 0.129701 0.316727i
\(94\) −0.0918971 + 0.241418i −0.00947846 + 0.0249003i
\(95\) 3.07055 + 5.31835i 0.315032 + 0.545651i
\(96\) 1.10361 9.73561i 0.112637 0.993636i
\(97\) 3.29818 5.71262i 0.334880 0.580028i −0.648582 0.761145i \(-0.724638\pi\)
0.983462 + 0.181116i \(0.0579710\pi\)
\(98\) −1.38875 1.70519i −0.140285 0.172250i
\(99\) −0.138600 17.2052i −0.0139299 1.72918i
\(100\) 6.51283 + 1.34628i 0.651283 + 0.134628i
\(101\) −2.15095 8.02745i −0.214027 0.798761i −0.986507 0.163721i \(-0.947650\pi\)
0.772479 0.635040i \(-0.219016\pi\)
\(102\) −11.5431 10.8052i −1.14293 1.06987i
\(103\) 3.39607 + 5.88217i 0.334625 + 0.579588i 0.983413 0.181382i \(-0.0580570\pi\)
−0.648788 + 0.760970i \(0.724724\pi\)
\(104\) 11.1665 2.47169i 1.09496 0.242369i
\(105\) 1.47556 11.5678i 0.144000 1.12891i
\(106\) −7.75298 + 10.7341i −0.753036 + 1.04259i
\(107\) 11.9162 + 11.9162i 1.15198 + 1.15198i 0.986155 + 0.165828i \(0.0530295\pi\)
0.165828 + 0.986155i \(0.446970\pi\)
\(108\) 6.88793 + 7.78180i 0.662791 + 0.748804i
\(109\) −0.518803 + 0.518803i −0.0496923 + 0.0496923i −0.731516 0.681824i \(-0.761187\pi\)
0.681824 + 0.731516i \(0.261187\pi\)
\(110\) 23.1042 3.72567i 2.20290 0.355229i
\(111\) −1.19003 0.151796i −0.112952 0.0144079i
\(112\) −1.07951 9.27114i −0.102005 0.876040i
\(113\) −9.60012 + 5.54263i −0.903103 + 0.521407i −0.878206 0.478283i \(-0.841259\pi\)
−0.0248974 + 0.999690i \(0.507926\pi\)
\(114\) −5.21058 + 0.172047i −0.488016 + 0.0161137i
\(115\) 0.134582 0.0360611i 0.0125498 0.00336271i
\(116\) −8.79804 + 5.78380i −0.816878 + 0.537012i
\(117\) −5.98043 + 10.5538i −0.552891 + 0.975703i
\(118\) −0.619114 + 6.05343i −0.0569941 + 0.557263i
\(119\) −13.0442 7.53107i −1.19576 0.690372i
\(120\) −9.04588 + 10.8618i −0.825772 + 0.991541i
\(121\) 18.9599 10.9465i 1.72362 0.995135i
\(122\) 3.83382 + 8.54645i 0.347098 + 0.773759i
\(123\) −0.0498033 0.0203946i −0.00449062 0.00183892i
\(124\) −2.53429 + 2.84650i −0.227586 + 0.255623i
\(125\) 3.41689 + 3.41689i 0.305616 + 0.305616i
\(126\) 8.07193 + 5.73177i 0.719105 + 0.510627i
\(127\) 12.0823i 1.07213i −0.844176 0.536067i \(-0.819910\pi\)
0.844176 0.536067i \(-0.180090\pi\)
\(128\) −4.93783 + 10.1793i −0.436446 + 0.899730i
\(129\) 5.42636 + 4.12917i 0.477764 + 0.363553i
\(130\) −15.4201 5.86976i −1.35243 0.514812i
\(131\) −2.61991 0.702002i −0.228902 0.0613342i 0.142545 0.989788i \(-0.454472\pi\)
−0.371447 + 0.928454i \(0.621138\pi\)
\(132\) −6.45131 + 18.7909i −0.561515 + 1.63553i
\(133\) −4.79721 + 1.28541i −0.415971 + 0.111459i
\(134\) −0.120404 + 1.17726i −0.0104014 + 0.101700i
\(135\) −2.13641 14.8397i −0.183873 1.27720i
\(136\) 8.42490 + 16.1971i 0.722429 + 1.38889i
\(137\) −7.51859 + 13.0226i −0.642356 + 1.11259i 0.342549 + 0.939500i \(0.388710\pi\)
−0.984905 + 0.173094i \(0.944624\pi\)
\(138\) −0.0268266 + 0.115200i −0.00228363 + 0.00980645i
\(139\) −8.28951 2.22117i −0.703107 0.188397i −0.110485 0.993878i \(-0.535240\pi\)
−0.592622 + 0.805481i \(0.701907\pi\)
\(140\) −6.04600 + 12.0320i −0.510980 + 1.01689i
\(141\) 0.0425579 + 0.313497i 0.00358402 + 0.0264012i
\(142\) 0.234983 + 1.45722i 0.0197194 + 0.122287i
\(143\) −23.1905 −1.93928
\(144\) −4.51528 11.1181i −0.376274 0.926509i
\(145\) 15.1898 1.26144
\(146\) −1.06864 6.62701i −0.0884411 0.548455i
\(147\) −2.49251 1.02069i −0.205579 0.0841852i
\(148\) 1.23778 + 0.621975i 0.101745 + 0.0511260i
\(149\) −0.977298 0.261866i −0.0800634 0.0214529i 0.218565 0.975822i \(-0.429862\pi\)
−0.298628 + 0.954369i \(0.596529\pi\)
\(150\) 7.79380 2.36662i 0.636361 0.193234i
\(151\) −8.29411 + 14.3658i −0.674965 + 1.16907i 0.301514 + 0.953462i \(0.402508\pi\)
−0.976479 + 0.215612i \(0.930825\pi\)
\(152\) 5.74073 + 1.81212i 0.465634 + 0.146983i
\(153\) −18.7446 4.86111i −1.51541 0.392997i
\(154\) −1.92564 + 18.8280i −0.155172 + 1.51720i
\(155\) 5.31096 1.42307i 0.426587 0.114304i
\(156\) 10.5630 9.19899i 0.845719 0.736509i
\(157\) 21.2306 + 5.68871i 1.69438 + 0.454009i 0.971515 0.236977i \(-0.0761566\pi\)
0.722868 + 0.690986i \(0.242823\pi\)
\(158\) −11.1396 4.24035i −0.886218 0.337344i
\(159\) −2.05198 + 16.0868i −0.162733 + 1.27576i
\(160\) 14.0197 8.35804i 1.10835 0.660761i
\(161\) 0.112678i 0.00888030i
\(162\) 11.9667 + 4.33578i 0.940190 + 0.340651i
\(163\) 0.153221 + 0.153221i 0.0120012 + 0.0120012i 0.713082 0.701081i \(-0.247299\pi\)
−0.701081 + 0.713082i \(0.747299\pi\)
\(164\) 0.0464133 + 0.0413226i 0.00362427 + 0.00322675i
\(165\) 22.6689 17.5400i 1.76477 1.36548i
\(166\) −7.17828 16.0020i −0.557143 1.24199i
\(167\) 1.83025 1.05669i 0.141629 0.0817694i −0.427511 0.904010i \(-0.640610\pi\)
0.569140 + 0.822241i \(0.307276\pi\)
\(168\) −6.59142 9.33982i −0.508539 0.720583i
\(169\) 2.90111 + 1.67495i 0.223162 + 0.128843i
\(170\) 2.67987 26.2025i 0.205536 2.00964i
\(171\) −5.50377 + 3.23700i −0.420884 + 0.247539i
\(172\) −4.32518 6.57926i −0.329792 0.501664i
\(173\) 2.17246 0.582108i 0.165169 0.0442568i −0.175287 0.984517i \(-0.556085\pi\)
0.340456 + 0.940261i \(0.389419\pi\)
\(174\) −6.07556 + 11.3743i −0.460587 + 0.862282i
\(175\) 6.71976 3.87966i 0.507966 0.293274i
\(176\) 14.2367 17.9890i 1.07313 1.35597i
\(177\) 2.87969 + 6.87374i 0.216451 + 0.516662i
\(178\) −3.98180 + 0.642085i −0.298448 + 0.0481263i
\(179\) 4.33235 4.33235i 0.323815 0.323815i −0.526413 0.850229i \(-0.676464\pi\)
0.850229 + 0.526413i \(0.176464\pi\)
\(180\) −3.36785 + 16.9814i −0.251025 + 1.26572i
\(181\) −13.9507 13.9507i −1.03695 1.03695i −0.999291 0.0376558i \(-0.988011\pi\)
−0.0376558 0.999291i \(-0.511989\pi\)
\(182\) 7.81287 10.8170i 0.579128 0.801812i
\(183\) 9.12951 + 6.94708i 0.674873 + 0.513543i
\(184\) 0.0734225 0.115167i 0.00541278 0.00849019i
\(185\) −0.999240 1.73073i −0.0734656 0.127246i
\(186\) −1.05865 + 4.54610i −0.0776240 + 0.333336i
\(187\) −9.58157 35.7589i −0.700674 2.61495i
\(188\) 0.0739517 0.357752i 0.00539348 0.0260917i
\(189\) 12.0394 + 1.43725i 0.875741 + 0.104545i
\(190\) −5.48441 6.73406i −0.397881 0.488540i
\(191\) 3.83161 6.63654i 0.277246 0.480203i −0.693454 0.720501i \(-0.743912\pi\)
0.970699 + 0.240298i \(0.0772451\pi\)
\(192\) 0.651044 + 13.8411i 0.0469850 + 0.998896i
\(193\) −3.79037 6.56511i −0.272836 0.472567i 0.696751 0.717314i \(-0.254628\pi\)
−0.969587 + 0.244747i \(0.921295\pi\)
\(194\) −3.31870 + 8.71838i −0.238269 + 0.625943i
\(195\) −20.0240 + 2.71831i −1.43395 + 0.194662i
\(196\) 2.32285 + 2.06808i 0.165918 + 0.147720i
\(197\) 12.6000 12.6000i 0.897715 0.897715i −0.0975188 0.995234i \(-0.531091\pi\)
0.995234 + 0.0975188i \(0.0310906\pi\)
\(198\) 4.06709 + 23.9903i 0.289036 + 1.70491i
\(199\) 23.1095 1.63819 0.819096 0.573656i \(-0.194476\pi\)
0.819096 + 0.573656i \(0.194476\pi\)
\(200\) −9.39617 0.413346i −0.664410 0.0292280i
\(201\) 0.560037 + 1.33679i 0.0395020 + 0.0942902i
\(202\) 4.81041 + 10.7235i 0.338459 + 0.754501i
\(203\) −3.17941 + 11.8657i −0.223151 + 0.832811i
\(204\) 18.5489 + 12.4871i 1.29868 + 0.874272i
\(205\) −0.0232037 0.0865974i −0.00162062 0.00604822i
\(206\) −6.06584 7.44796i −0.422627 0.518924i
\(207\) 0.0386199 + 0.139623i 0.00268427 + 0.00970444i
\(208\) −15.0339 + 5.96494i −1.04241 + 0.413594i
\(209\) −10.5713 6.10336i −0.731234 0.422178i
\(210\) 0.544248 + 16.4830i 0.0375567 + 1.13743i
\(211\) 3.42605 12.7862i 0.235859 0.880238i −0.741901 0.670510i \(-0.766075\pi\)
0.977760 0.209728i \(-0.0672579\pi\)
\(212\) 8.40785 16.7322i 0.577454 1.14918i
\(213\) 1.10627 + 1.42976i 0.0758004 + 0.0979654i
\(214\) −19.3199 13.9543i −1.32068 0.953897i
\(215\) 11.3591i 0.774683i
\(216\) −11.3688 9.31403i −0.773547 0.633739i
\(217\) 4.44660i 0.301855i
\(218\) 0.607538 0.841145i 0.0411476 0.0569695i
\(219\) −5.03100 6.50214i −0.339964 0.439374i
\(220\) −31.4188 + 10.4034i −2.11825 + 0.701397i
\(221\) −6.75527 + 25.2110i −0.454409 + 1.69588i
\(222\) 1.69566 0.0559888i 0.113806 0.00375772i
\(223\) 14.1219 + 8.15328i 0.945672 + 0.545984i 0.891734 0.452561i \(-0.149489\pi\)
0.0539380 + 0.998544i \(0.482823\pi\)
\(224\) 3.59450 + 12.7011i 0.240168 + 0.848629i
\(225\) 6.99689 7.11054i 0.466460 0.474036i
\(226\) 12.1556 9.89987i 0.808578 0.658530i
\(227\) −5.96068 22.2456i −0.395624 1.47649i −0.820714 0.571339i \(-0.806424\pi\)
0.425090 0.905151i \(-0.360242\pi\)
\(228\) 7.23617 1.41332i 0.479227 0.0935996i
\(229\) −5.05838 + 18.8781i −0.334267 + 1.24750i 0.570394 + 0.821371i \(0.306791\pi\)
−0.904661 + 0.426131i \(0.859876\pi\)
\(230\) −0.179781 + 0.0806474i −0.0118544 + 0.00531773i
\(231\) 8.95671 + 21.3794i 0.589308 + 1.40666i
\(232\) 10.9815 10.0560i 0.720968 0.660209i
\(233\) −18.4018 −1.20554 −0.602771 0.797914i \(-0.705937\pi\)
−0.602771 + 0.797914i \(0.705937\pi\)
\(234\) 5.97364 16.0815i 0.390509 1.05128i
\(235\) −0.372668 + 0.372668i −0.0243102 + 0.0243102i
\(236\) −0.498479 8.59105i −0.0324482 0.559229i
\(237\) −14.4655 + 1.96372i −0.939634 + 0.127558i
\(238\) 19.9076 + 7.57793i 1.29042 + 0.491204i
\(239\) 12.4328 + 21.5343i 0.804212 + 1.39294i 0.916821 + 0.399298i \(0.130746\pi\)
−0.112609 + 0.993639i \(0.535921\pi\)
\(240\) 10.1842 17.2016i 0.657389 1.11036i
\(241\) 0.256221 0.443788i 0.0165047 0.0285869i −0.857655 0.514225i \(-0.828079\pi\)
0.874160 + 0.485638i \(0.161413\pi\)
\(242\) −24.0068 + 19.5519i −1.54322 + 1.25684i
\(243\) 15.4110 2.34552i 0.988615 0.150465i
\(244\) −7.27685 11.0692i −0.465853 0.708633i
\(245\) −1.16128 4.33395i −0.0741914 0.276886i
\(246\) 0.0741260 + 0.0172617i 0.00472610 + 0.00110057i
\(247\) 4.30304 + 7.45308i 0.273796 + 0.474228i
\(248\) 2.89745 4.54479i 0.183988 0.288594i
\(249\) −17.0937 13.0074i −1.08327 0.824310i
\(250\) −5.53987 4.00130i −0.350372 0.253065i
\(251\) −7.88443 7.88443i −0.497661 0.497661i 0.413048 0.910709i \(-0.364464\pi\)
−0.910709 + 0.413048i \(0.864464\pi\)
\(252\) −12.5603 6.18525i −0.791225 0.389634i
\(253\) −0.195830 + 0.195830i −0.0123117 + 0.0123117i
\(254\) 2.72022 + 16.8691i 0.170682 + 1.05846i
\(255\) −12.4649 29.7533i −0.780580 1.86322i
\(256\) 4.60231 15.3238i 0.287644 0.957737i
\(257\) 10.6490 6.14820i 0.664266 0.383514i −0.129635 0.991562i \(-0.541380\pi\)
0.793900 + 0.608048i \(0.208047\pi\)
\(258\) −8.50580 4.54336i −0.529548 0.282857i
\(259\) 1.56114 0.418306i 0.0970046 0.0259923i
\(260\) 22.8508 + 4.72353i 1.41714 + 0.292941i
\(261\) 0.127223 + 15.7928i 0.00787492 + 0.977553i
\(262\) 3.81590 + 0.390272i 0.235747 + 0.0241111i
\(263\) −8.46535 4.88747i −0.521996 0.301375i 0.215755 0.976448i \(-0.430779\pi\)
−0.737751 + 0.675073i \(0.764112\pi\)
\(264\) 4.77659 27.6878i 0.293979 1.70407i
\(265\) −23.3961 + 13.5077i −1.43721 + 0.829773i
\(266\) 6.40836 2.87470i 0.392922 0.176259i
\(267\) −3.90677 + 3.02285i −0.239091 + 0.184995i
\(268\) −0.0969434 1.67077i −0.00592176 0.102059i
\(269\) 5.64229 + 5.64229i 0.344016 + 0.344016i 0.857875 0.513859i \(-0.171784\pi\)
−0.513859 + 0.857875i \(0.671784\pi\)
\(270\) 6.32384 + 20.2379i 0.384856 + 1.23164i
\(271\) 11.0524i 0.671386i 0.941971 + 0.335693i \(0.108971\pi\)
−0.941971 + 0.335693i \(0.891029\pi\)
\(272\) −15.4093 20.7172i −0.934325 1.25617i
\(273\) 2.06783 16.2110i 0.125151 0.981137i
\(274\) 7.56537 19.8746i 0.457041 1.20067i
\(275\) 18.4213 + 4.93598i 1.11085 + 0.297651i
\(276\) 0.0115185 0.166879i 0.000693333 0.0100449i
\(277\) 25.2727 6.77180i 1.51849 0.406878i 0.599246 0.800565i \(-0.295467\pi\)
0.919245 + 0.393687i \(0.128801\pi\)
\(278\) 12.0737 + 1.23484i 0.724133 + 0.0740607i
\(279\) 1.52405 + 5.50989i 0.0912423 + 0.329869i
\(280\) 5.73240 18.1600i 0.342576 1.08527i
\(281\) −12.8442 + 22.2468i −0.766219 + 1.32713i 0.173381 + 0.984855i \(0.444531\pi\)
−0.939600 + 0.342275i \(0.888802\pi\)
\(282\) −0.129999 0.428116i −0.00774135 0.0254939i
\(283\) 31.3627 + 8.40360i 1.86432 + 0.499542i 0.999994 0.00339463i \(-0.00108055\pi\)
0.864323 + 0.502937i \(0.167747\pi\)
\(284\) −0.656157 1.98163i −0.0389358 0.117588i
\(285\) −9.84335 4.03088i −0.583070 0.238768i
\(286\) 32.3780 5.22111i 1.91455 0.308731i
\(287\) 0.0725036 0.00427975
\(288\) 8.80728 + 14.5063i 0.518974 + 0.854790i
\(289\) −24.6657 −1.45092
\(290\) −21.2077 + 3.41984i −1.24536 + 0.200820i
\(291\) 1.53690 + 11.3214i 0.0900950 + 0.663672i
\(292\) 2.98402 + 9.01188i 0.174626 + 0.527381i
\(293\) −22.0583 5.91051i −1.28866 0.345296i −0.451510 0.892266i \(-0.649114\pi\)
−0.837152 + 0.546971i \(0.815781\pi\)
\(294\) 3.70979 + 0.863900i 0.216359 + 0.0503837i
\(295\) −6.20747 + 10.7517i −0.361413 + 0.625986i
\(296\) −1.86819 0.589713i −0.108586 0.0342764i
\(297\) 18.4262 + 23.4219i 1.06919 + 1.35908i
\(298\) 1.42344 + 0.145582i 0.0824576 + 0.00843335i
\(299\) 0.188601 0.0505356i 0.0109071 0.00292255i
\(300\) −10.3487 + 5.05893i −0.597483 + 0.292077i
\(301\) −8.87331 2.37760i −0.511449 0.137042i
\(302\) 8.34572 21.9246i 0.480242 1.26162i
\(303\) 11.4551 + 8.71670i 0.658076 + 0.500761i
\(304\) −8.42305 1.23757i −0.483095 0.0709797i
\(305\) 19.1110i 1.09429i
\(306\) 27.2652 + 2.56680i 1.55865 + 0.146734i
\(307\) 10.3124 + 10.3124i 0.588560 + 0.588560i 0.937241 0.348681i \(-0.113370\pi\)
−0.348681 + 0.937241i \(0.613370\pi\)
\(308\) −1.55042 26.7208i −0.0883435 1.52256i
\(309\) −10.8869 4.45821i −0.619333 0.253619i
\(310\) −7.09466 + 3.18257i −0.402949 + 0.180758i
\(311\) −0.887812 + 0.512578i −0.0503432 + 0.0290656i −0.524960 0.851127i \(-0.675920\pi\)
0.474617 + 0.880192i \(0.342587\pi\)
\(312\) −12.6768 + 15.2216i −0.717682 + 0.861753i
\(313\) 9.53399 + 5.50445i 0.538893 + 0.311130i 0.744630 0.667477i \(-0.232626\pi\)
−0.205737 + 0.978607i \(0.565959\pi\)
\(314\) −30.9224 3.16259i −1.74505 0.178475i
\(315\) 10.2398 + 17.4104i 0.576947 + 0.980967i
\(316\) 16.5075 + 3.41231i 0.928621 + 0.191957i
\(317\) 18.3465 4.91593i 1.03044 0.276106i 0.296295 0.955096i \(-0.404249\pi\)
0.734147 + 0.678990i \(0.237582\pi\)
\(318\) −0.756857 22.9220i −0.0424424 1.28540i
\(319\) −26.1478 + 15.0965i −1.46400 + 0.845239i
\(320\) −17.6922 + 14.8257i −0.989026 + 0.828782i
\(321\) −28.9540 3.69329i −1.61605 0.206139i
\(322\) −0.0253685 0.157319i −0.00141373 0.00876705i
\(323\) −9.71452 + 9.71452i −0.540531 + 0.540531i
\(324\) −17.6837 3.35933i −0.982430 0.186629i
\(325\) −9.50755 9.50755i −0.527384 0.527384i
\(326\) −0.248420 0.179427i −0.0137587 0.00993755i
\(327\) 0.160797 1.26059i 0.00889210 0.0697107i
\(328\) −0.0741046 0.0472441i −0.00409174 0.00260862i
\(329\) −0.213111 0.369119i −0.0117492 0.0203502i
\(330\) −27.7008 + 29.5926i −1.52488 + 1.62902i
\(331\) 4.94329 + 18.4486i 0.271708 + 1.01403i 0.958015 + 0.286716i \(0.0925638\pi\)
−0.686307 + 0.727312i \(0.740770\pi\)
\(332\) 13.6248 + 20.7255i 0.747761 + 1.13746i
\(333\) 1.79108 1.05341i 0.0981504 0.0577263i
\(334\) −2.31744 + 1.88739i −0.126805 + 0.103274i
\(335\) −1.20722 + 2.09097i −0.0659575 + 0.114242i
\(336\) 11.3056 + 11.5560i 0.616769 + 0.630434i
\(337\) −14.6805 25.4274i −0.799699 1.38512i −0.919812 0.392359i \(-0.871659\pi\)
0.120113 0.992760i \(-0.461674\pi\)
\(338\) −4.42756 1.68538i −0.240827 0.0916724i
\(339\) 7.27610 17.7682i 0.395184 0.965034i
\(340\) 2.15769 + 37.1867i 0.117017 + 2.01673i
\(341\) −7.72800 + 7.72800i −0.418495 + 0.418495i
\(342\) 6.95547 5.75855i 0.376109 0.311387i
\(343\) 19.9627 1.07788
\(344\) 7.51998 + 8.21204i 0.405450 + 0.442764i
\(345\) −0.146137 + 0.192046i −0.00786776 + 0.0103394i
\(346\) −2.90208 + 1.30183i −0.156017 + 0.0699870i
\(347\) 5.49514 20.5081i 0.294995 1.10093i −0.646227 0.763145i \(-0.723654\pi\)
0.941222 0.337789i \(-0.109679\pi\)
\(348\) 5.92175 17.2484i 0.317439 0.924610i
\(349\) −6.64137 24.7859i −0.355504 1.32676i −0.879849 0.475254i \(-0.842356\pi\)
0.524345 0.851506i \(-0.324310\pi\)
\(350\) −8.50851 + 6.92958i −0.454799 + 0.370402i
\(351\) −2.99394 20.7962i −0.159805 1.11002i
\(352\) −15.8269 + 28.3211i −0.843577 + 1.50952i
\(353\) 19.1119 + 11.0343i 1.01723 + 0.587296i 0.913299 0.407289i \(-0.133526\pi\)
0.103927 + 0.994585i \(0.466859\pi\)
\(354\) −5.56811 8.94863i −0.295942 0.475614i
\(355\) −0.779432 + 2.90888i −0.0413680 + 0.154387i
\(356\) 5.41474 1.79293i 0.286980 0.0950251i
\(357\) 25.8513 3.50937i 1.36819 0.185735i
\(358\) −5.07335 + 7.02413i −0.268135 + 0.371237i
\(359\) 13.1522i 0.694145i −0.937838 0.347073i \(-0.887176\pi\)
0.937838 0.347073i \(-0.112824\pi\)
\(360\) 0.878923 24.4672i 0.0463233 1.28954i
\(361\) 14.4700i 0.761581i
\(362\) 22.6185 + 16.3368i 1.18880 + 0.858642i
\(363\) −14.3700 + 35.0914i −0.754231 + 1.84182i
\(364\) −8.47280 + 16.8615i −0.444095 + 0.883783i
\(365\) 3.54464 13.2288i 0.185535 0.692425i
\(366\) −14.3105 7.64393i −0.748021 0.399555i
\(367\) −5.13483 2.96459i −0.268036 0.154751i 0.359959 0.932968i \(-0.382791\pi\)
−0.627995 + 0.778218i \(0.716124\pi\)
\(368\) −0.0765822 + 0.177323i −0.00399212 + 0.00924362i
\(369\) 0.0898410 0.0248502i 0.00467694 0.00129365i
\(370\) 1.78478 + 2.19144i 0.0927860 + 0.113928i
\(371\) −5.65466 21.1035i −0.293575 1.09564i
\(372\) 0.454552 6.58550i 0.0235674 0.341442i
\(373\) 9.31148 34.7509i 0.482130 1.79933i −0.110520 0.993874i \(-0.535252\pi\)
0.592650 0.805460i \(-0.298082\pi\)
\(374\) 21.4284 + 47.7686i 1.10803 + 2.47006i
\(375\) −8.30237 1.05903i −0.428732 0.0546878i
\(376\) −0.0227052 + 0.516135i −0.00117093 + 0.0266176i
\(377\) 21.2868 1.09633
\(378\) −17.1328 + 0.703909i −0.881215 + 0.0362052i
\(379\) 4.54655 4.54655i 0.233540 0.233540i −0.580628 0.814169i \(-0.697193\pi\)
0.814169 + 0.580628i \(0.197193\pi\)
\(380\) 9.17332 + 8.16717i 0.470582 + 0.418967i
\(381\) 12.8064 + 16.5512i 0.656094 + 0.847945i
\(382\) −3.85545 + 10.1284i −0.197262 + 0.518216i
\(383\) −16.4216 28.4430i −0.839104 1.45337i −0.890645 0.454700i \(-0.849747\pi\)
0.0515410 0.998671i \(-0.483587\pi\)
\(384\) −4.02517 19.1781i −0.205408 0.978676i
\(385\) −19.3071 + 33.4409i −0.983983 + 1.70431i
\(386\) 6.77010 + 8.31269i 0.344589 + 0.423105i
\(387\) −11.8100 + 0.0951387i −0.600338 + 0.00483617i
\(388\) 2.67064 12.9196i 0.135581 0.655893i
\(389\) 8.46615 + 31.5961i 0.429251 + 1.60199i 0.754462 + 0.656344i \(0.227898\pi\)
−0.325211 + 0.945641i \(0.605435\pi\)
\(390\) 27.3451 8.30347i 1.38467 0.420463i
\(391\) 0.155848 + 0.269937i 0.00788159 + 0.0136513i
\(392\) −3.70872 2.36443i −0.187319 0.119422i
\(393\) 4.33301 1.81527i 0.218571 0.0915683i
\(394\) −14.7551 + 20.4287i −0.743351 + 1.02918i
\(395\) −17.1958 17.1958i −0.865213 0.865213i
\(396\) −11.0796 32.5790i −0.556769 1.63716i
\(397\) −26.7370 + 26.7370i −1.34189 + 1.34189i −0.447720 + 0.894174i \(0.647764\pi\)
−0.894174 + 0.447720i \(0.852236\pi\)
\(398\) −32.2650 + 5.20290i −1.61730 + 0.260798i
\(399\) 5.20911 6.84556i 0.260782 0.342706i
\(400\) 13.2118 1.53836i 0.660589 0.0769178i
\(401\) 2.15088 1.24181i 0.107410 0.0620130i −0.445333 0.895365i \(-0.646915\pi\)
0.552743 + 0.833352i \(0.313581\pi\)
\(402\) −1.08288 1.74032i −0.0540091 0.0867991i
\(403\) 7.44272 1.99427i 0.370748 0.0993418i
\(404\) −9.13047 13.8889i −0.454258 0.690996i
\(405\) 18.6557 + 18.0641i 0.927010 + 0.897611i
\(406\) 1.76757 17.2825i 0.0877229 0.857715i
\(407\) 3.44020 + 1.98620i 0.170524 + 0.0984522i
\(408\) −28.7088 13.2581i −1.42130 0.656374i
\(409\) 6.04923 3.49252i 0.299115 0.172694i −0.342930 0.939361i \(-0.611419\pi\)
0.642045 + 0.766667i \(0.278086\pi\)
\(410\) 0.0518931 + 0.115681i 0.00256282 + 0.00571309i
\(411\) −3.50355 25.8084i −0.172818 1.27304i
\(412\) 10.1458 + 9.03301i 0.499849 + 0.445025i
\(413\) −7.09951 7.09951i −0.349344 0.349344i
\(414\) −0.0853549 0.186243i −0.00419497 0.00915335i
\(415\) 35.7825i 1.75649i
\(416\) 19.6470 11.7129i 0.963275 0.574270i
\(417\) 13.7098 5.74361i 0.671374 0.281266i
\(418\) 16.1336 + 6.14134i 0.789119 + 0.300383i
\(419\) 29.1858 + 7.82032i 1.42582 + 0.382048i 0.887545 0.460721i \(-0.152409\pi\)
0.538276 + 0.842768i \(0.319076\pi\)
\(420\) −4.47085 22.8906i −0.218155 1.11695i
\(421\) −31.2445 + 8.37195i −1.52277 + 0.408024i −0.920651 0.390386i \(-0.872341\pi\)
−0.602114 + 0.798410i \(0.705675\pi\)
\(422\) −1.90468 + 18.6231i −0.0927185 + 0.906560i
\(423\) −0.390584 0.384342i −0.0189909 0.0186873i
\(424\) −7.97174 + 25.2541i −0.387142 + 1.22645i
\(425\) 10.7321 18.5885i 0.520584 0.901677i
\(426\) −1.86645 1.74713i −0.0904296 0.0846487i
\(427\) −14.9288 4.00016i −0.722455 0.193581i
\(428\) 30.1158 + 15.1330i 1.45570 + 0.731480i
\(429\) 31.7679 24.5803i 1.53377 1.18675i
\(430\) −2.55739 15.8593i −0.123328 0.764803i
\(431\) 30.2342 1.45633 0.728164 0.685403i \(-0.240374\pi\)
0.728164 + 0.685403i \(0.240374\pi\)
\(432\) 17.9698 + 10.4445i 0.864572 + 0.502510i
\(433\) 34.5522 1.66047 0.830237 0.557410i \(-0.188205\pi\)
0.830237 + 0.557410i \(0.188205\pi\)
\(434\) −1.00111 6.20824i −0.0480548 0.298005i
\(435\) −20.8081 + 16.1002i −0.997670 + 0.771944i
\(436\) −0.658854 + 1.31117i −0.0315534 + 0.0627936i
\(437\) 0.0992738 + 0.0266003i 0.00474891 + 0.00127247i
\(438\) 8.48807 + 7.94546i 0.405576 + 0.379649i
\(439\) 1.65747 2.87082i 0.0791066 0.137017i −0.823758 0.566941i \(-0.808127\pi\)
0.902865 + 0.429925i \(0.141460\pi\)
\(440\) 41.5240 21.5986i 1.97958 1.02967i
\(441\) 4.49629 1.24368i 0.214109 0.0592229i
\(442\) 3.75553 36.7200i 0.178633 1.74659i
\(443\) 15.4752 4.14656i 0.735248 0.197009i 0.128283 0.991738i \(-0.459053\pi\)
0.606965 + 0.794729i \(0.292387\pi\)
\(444\) −2.35484 + 0.459933i −0.111756 + 0.0218275i
\(445\) −7.94843 2.12977i −0.376792 0.100961i
\(446\) −21.5523 8.20401i −1.02053 0.388471i
\(447\) 1.61633 0.677147i 0.0764499 0.0320279i
\(448\) −7.87810 16.9237i −0.372205 0.799572i
\(449\) 11.1511i 0.526253i −0.964761 0.263126i \(-0.915246\pi\)
0.964761 0.263126i \(-0.0847536\pi\)
\(450\) −8.16803 + 11.5029i −0.385045 + 0.542250i
\(451\) 0.126008 + 0.126008i 0.00593349 + 0.00593349i
\(452\) −14.7425 + 16.5587i −0.693429 + 0.778856i
\(453\) −3.86494 28.4705i −0.181591 1.33766i
\(454\) 13.3306 + 29.7168i 0.625634 + 1.39468i
\(455\) 23.5768 13.6121i 1.10530 0.638143i
\(456\) −9.78478 + 3.60241i −0.458214 + 0.168698i
\(457\) −20.6193 11.9046i −0.964530 0.556872i −0.0669658 0.997755i \(-0.521332\pi\)
−0.897564 + 0.440884i \(0.854665\pi\)
\(458\) 2.81216 27.4961i 0.131404 1.28481i
\(459\) 30.8301 13.2089i 1.43903 0.616540i
\(460\) 0.232849 0.153074i 0.0108567 0.00713712i
\(461\) 11.5986 3.10783i 0.540199 0.144746i 0.0216051 0.999767i \(-0.493122\pi\)
0.518594 + 0.855021i \(0.326456\pi\)
\(462\) −17.3185 27.8330i −0.805731 1.29491i
\(463\) −11.7247 + 6.76924i −0.544892 + 0.314593i −0.747059 0.664758i \(-0.768535\pi\)
0.202168 + 0.979351i \(0.435201\pi\)
\(464\) −13.0681 + 16.5123i −0.606669 + 0.766566i
\(465\) −5.76697 + 7.57868i −0.267437 + 0.351453i
\(466\) 25.6922 4.14300i 1.19017 0.191921i
\(467\) −11.6000 + 11.6000i −0.536784 + 0.536784i −0.922583 0.385799i \(-0.873926\pi\)
0.385799 + 0.922583i \(0.373926\pi\)
\(468\) −4.71967 + 23.7975i −0.218167 + 1.10004i
\(469\) −1.38070 1.38070i −0.0637549 0.0637549i
\(470\) 0.436408 0.604213i 0.0201300 0.0278703i
\(471\) −35.1128 + 14.7102i −1.61791 + 0.677808i
\(472\) 2.63016 + 11.8824i 0.121063 + 0.546932i
\(473\) −11.2893 19.5536i −0.519081 0.899075i
\(474\) 19.7543 5.99848i 0.907344 0.275519i
\(475\) −1.83176 6.83624i −0.0840471 0.313668i
\(476\) −29.5006 6.09813i −1.35216 0.279507i
\(477\) −14.2399 24.2118i −0.652002 1.10858i
\(478\) −22.2067 27.2665i −1.01571 1.24714i
\(479\) −2.09571 + 3.62988i −0.0957555 + 0.165853i −0.909924 0.414776i \(-0.863860\pi\)
0.814168 + 0.580629i \(0.197193\pi\)
\(480\) −10.3462 + 26.3093i −0.472237 + 1.20085i
\(481\) −1.40032 2.42543i −0.0638493 0.110590i
\(482\) −0.257816 + 0.677293i −0.0117432 + 0.0308499i
\(483\) −0.119431 0.154355i −0.00543432 0.00702338i
\(484\) 29.1159 32.7028i 1.32345 1.48649i
\(485\) −13.4582 + 13.4582i −0.611107 + 0.611107i
\(486\) −20.9884 + 6.74440i −0.952053 + 0.305932i
\(487\) −26.7152 −1.21058 −0.605291 0.796004i \(-0.706943\pi\)
−0.605291 + 0.796004i \(0.706943\pi\)
\(488\) 12.6519 + 13.8163i 0.572725 + 0.625433i
\(489\) −0.372296 0.0474890i −0.0168358 0.00214753i
\(490\) 2.59710 + 5.78952i 0.117325 + 0.261544i
\(491\) −0.681269 + 2.54253i −0.0307452 + 0.114743i −0.979593 0.200991i \(-0.935584\pi\)
0.948848 + 0.315733i \(0.102251\pi\)
\(492\) −0.107379 0.00741166i −0.00484103 0.000334143i
\(493\) 8.79506 + 32.8236i 0.396109 + 1.47830i
\(494\) −7.68580 9.43703i −0.345800 0.424592i
\(495\) −12.4623 + 48.0549i −0.560137 + 2.15991i
\(496\) −3.02214 + 6.99766i −0.135698 + 0.314204i
\(497\) −2.10917 1.21773i −0.0946091 0.0546226i
\(498\) 26.7943 + 14.3122i 1.20068 + 0.641343i
\(499\) −2.46533 + 9.20074i −0.110363 + 0.411882i −0.998898 0.0469272i \(-0.985057\pi\)
0.888535 + 0.458809i \(0.151724\pi\)
\(500\) 8.63549 + 4.33928i 0.386191 + 0.194059i
\(501\) −1.38718 + 3.38747i −0.0619745 + 0.151341i
\(502\) 12.7832 + 9.23295i 0.570541 + 0.412087i
\(503\) 11.5953i 0.517010i −0.966010 0.258505i \(-0.916770\pi\)
0.966010 0.258505i \(-0.0832299\pi\)
\(504\) 18.9290 + 5.80788i 0.843163 + 0.258703i
\(505\) 23.9791i 1.06706i
\(506\) 0.229324 0.317503i 0.0101947 0.0141147i
\(507\) −5.74948 + 0.780505i −0.255343 + 0.0346634i
\(508\) −7.59583 22.9398i −0.337010 1.01779i
\(509\) 2.97882 11.1171i 0.132034 0.492757i −0.867959 0.496637i \(-0.834568\pi\)
0.999992 + 0.00387934i \(0.00123484\pi\)
\(510\) 24.1018 + 38.7346i 1.06725 + 1.71520i
\(511\) 9.59190 + 5.53789i 0.424321 + 0.244982i
\(512\) −2.97563 + 22.4309i −0.131506 + 0.991315i
\(513\) 4.10846 10.2679i 0.181393 0.453339i
\(514\) −13.4837 + 10.9815i −0.594739 + 0.484373i
\(515\) −5.07227 18.9300i −0.223511 0.834154i
\(516\) 12.8985 + 4.42834i 0.567825 + 0.194947i
\(517\) 0.271135 1.01189i 0.0119245 0.0445029i
\(518\) −2.08545 + 0.935506i −0.0916295 + 0.0411038i
\(519\) −2.35899 + 3.10007i −0.103548 + 0.136078i
\(520\) −32.9672 1.45026i −1.44571 0.0635979i
\(521\) 12.7808 0.559939 0.279969 0.960009i \(-0.409676\pi\)
0.279969 + 0.960009i \(0.409676\pi\)
\(522\) −3.73324 22.0210i −0.163399 0.963832i
\(523\) −22.1010 + 22.1010i −0.966409 + 0.966409i −0.999454 0.0330445i \(-0.989480\pi\)
0.0330445 + 0.999454i \(0.489480\pi\)
\(524\) −5.41555 + 0.314227i −0.236579 + 0.0137271i
\(525\) −5.09303 + 12.4371i −0.222278 + 0.542800i
\(526\) 12.9195 + 4.91789i 0.563317 + 0.214430i
\(527\) 6.15020 + 10.6525i 0.267907 + 0.464029i
\(528\) −0.435317 + 39.7325i −0.0189447 + 1.72914i
\(529\) −11.4988 + 19.9166i −0.499949 + 0.865938i
\(530\) 29.6239 24.1266i 1.28678 1.04799i
\(531\) −11.2305 6.36386i −0.487362 0.276168i
\(532\) −8.29999 + 5.45638i −0.359850 + 0.236564i
\(533\) −0.0325174 0.121357i −0.00140849 0.00525654i
\(534\) 4.77398 5.10001i 0.206590 0.220699i
\(535\) −24.3121 42.1097i −1.05110 1.82056i
\(536\) 0.511509 + 2.31087i 0.0220938 + 0.0998144i
\(537\) −1.34276 + 10.5268i −0.0579445 + 0.454263i
\(538\) −9.14794 6.60733i −0.394396 0.284862i
\(539\) 6.30635 + 6.30635i 0.271634 + 0.271634i
\(540\) −13.3856 26.8320i −0.576023 1.15466i
\(541\) 4.90029 4.90029i 0.210680 0.210680i −0.593876 0.804556i \(-0.702403\pi\)
0.804556 + 0.593876i \(0.202403\pi\)
\(542\) −2.48835 15.4311i −0.106884 0.662824i
\(543\) 33.8974 + 4.32385i 1.45468 + 0.185554i
\(544\) 26.1784 + 25.4557i 1.12239 + 1.09140i
\(545\) 1.83336 1.05849i 0.0785324 0.0453407i
\(546\) 0.762703 + 23.0990i 0.0326407 + 0.988548i
\(547\) −29.1873 + 7.82071i −1.24796 + 0.334390i −0.821548 0.570140i \(-0.806889\pi\)
−0.426411 + 0.904529i \(0.640222\pi\)
\(548\) −6.08803 + 29.4517i −0.260068 + 1.25811i
\(549\) −19.8697 + 0.160065i −0.848017 + 0.00683141i
\(550\) −26.8307 2.74412i −1.14407 0.117009i
\(551\) 9.70357 + 5.60236i 0.413386 + 0.238668i
\(552\) 0.0214894 + 0.235586i 0.000914648 + 0.0100272i
\(553\) 17.0320 9.83343i 0.724275 0.418160i
\(554\) −33.7606 + 15.1446i −1.43435 + 0.643431i
\(555\) 3.20329 + 1.31176i 0.135972 + 0.0556809i
\(556\) −17.1350 + 0.994228i −0.726688 + 0.0421647i
\(557\) 5.23259 + 5.23259i 0.221712 + 0.221712i 0.809219 0.587507i \(-0.199891\pi\)
−0.587507 + 0.809219i \(0.699891\pi\)
\(558\) −3.36834 7.34966i −0.142593 0.311136i
\(559\) 15.9185i 0.673281i
\(560\) −3.91490 + 26.6452i −0.165435 + 1.12596i
\(561\) 51.0275 + 38.8293i 2.15438 + 1.63937i
\(562\) 12.9241 33.9522i 0.545170 1.43219i
\(563\) −25.0312 6.70709i −1.05494 0.282670i −0.310648 0.950525i \(-0.600546\pi\)
−0.744291 + 0.667855i \(0.767213\pi\)
\(564\) 0.277888 + 0.568457i 0.0117012 + 0.0239364i
\(565\) 30.8950 8.27830i 1.29976 0.348271i
\(566\) −45.6799 4.67191i −1.92007 0.196375i
\(567\) −18.0159 + 10.7921i −0.756595 + 0.453227i
\(568\) 1.36226 + 2.61898i 0.0571590 + 0.109890i
\(569\) 12.2193 21.1644i 0.512259 0.887259i −0.487640 0.873045i \(-0.662142\pi\)
0.999899 0.0142138i \(-0.00452456\pi\)
\(570\) 14.6506 + 3.41168i 0.613645 + 0.142900i
\(571\) 5.29056 + 1.41760i 0.221403 + 0.0593248i 0.367815 0.929899i \(-0.380106\pi\)
−0.146412 + 0.989224i \(0.546773\pi\)
\(572\) −44.0299 + 14.5792i −1.84098 + 0.609587i
\(573\) 1.78548 + 13.1525i 0.0745893 + 0.549452i
\(574\) −0.101228 + 0.0163235i −0.00422517 + 0.000681330i
\(575\) −0.160572 −0.00669630
\(576\) −15.5625 18.2705i −0.648436 0.761269i
\(577\) 18.8956 0.786634 0.393317 0.919403i \(-0.371327\pi\)
0.393317 + 0.919403i \(0.371327\pi\)
\(578\) 34.4376 5.55324i 1.43242 0.230984i
\(579\) 12.1509 + 4.97581i 0.504973 + 0.206788i
\(580\) 28.8397 9.54942i 1.19750 0.396518i
\(581\) 27.9520 + 7.48972i 1.15964 + 0.310726i
\(582\) −4.69470 15.4607i −0.194601 0.640865i
\(583\) 26.8494 46.5045i 1.11199 1.92602i
\(584\) −6.19516 11.9104i −0.256358 0.492854i
\(585\) 24.5491 24.9479i 1.01498 1.03147i
\(586\) 32.1280 + 3.28590i 1.32720 + 0.135739i
\(587\) −40.3694 + 10.8169i −1.66622 + 0.446463i −0.964088 0.265583i \(-0.914436\pi\)
−0.702133 + 0.712045i \(0.747769\pi\)
\(588\) −5.37403 0.370932i −0.221621 0.0152970i
\(589\) 3.91761 + 1.04972i 0.161422 + 0.0432530i
\(590\) 6.24610 16.4088i 0.257148 0.675539i
\(591\) −3.90523 + 30.6156i −0.160640 + 1.25936i
\(592\) 2.74109 + 0.402740i 0.112658 + 0.0165525i
\(593\) 8.51816i 0.349799i 0.984586 + 0.174899i \(0.0559600\pi\)
−0.984586 + 0.174899i \(0.944040\pi\)
\(594\) −30.9994 28.5527i −1.27192 1.17153i
\(595\) 30.7306 + 30.7306i 1.25983 + 1.25983i
\(596\) −2.02015 + 0.117215i −0.0827485 + 0.00480132i
\(597\) −31.6571 + 24.4945i −1.29564 + 1.00249i
\(598\) −0.251943 + 0.113018i −0.0103027 + 0.00462167i
\(599\) −30.1886 + 17.4294i −1.23347 + 0.712145i −0.967752 0.251906i \(-0.918943\pi\)
−0.265719 + 0.964051i \(0.585609\pi\)
\(600\) 13.3097 9.39307i 0.543364 0.383471i
\(601\) −17.4933 10.0997i −0.713565 0.411977i 0.0988146 0.995106i \(-0.468495\pi\)
−0.812380 + 0.583129i \(0.801828\pi\)
\(602\) 12.9240 + 1.32180i 0.526743 + 0.0538727i
\(603\) −2.18409 1.23763i −0.0889430 0.0504004i
\(604\) −6.71599 + 32.4896i −0.273270 + 1.32198i
\(605\) −61.0165 + 16.3493i −2.48067 + 0.664695i
\(606\) −17.9558 9.59106i −0.729404 0.389610i
\(607\) 0.0948018 0.0547339i 0.00384789 0.00222158i −0.498075 0.867134i \(-0.665960\pi\)
0.501923 + 0.864912i \(0.332626\pi\)
\(608\) 12.0387 0.168499i 0.488234 0.00683353i
\(609\) −8.22148 19.6245i −0.333151 0.795224i
\(610\) −4.30266 26.6823i −0.174209 1.08033i
\(611\) −0.522253 + 0.522253i −0.0211281 + 0.0211281i
\(612\) −38.6450 + 2.55481i −1.56213 + 0.103272i
\(613\) 13.4094 + 13.4094i 0.541603 + 0.541603i 0.923999 0.382396i \(-0.124901\pi\)
−0.382396 + 0.923999i \(0.624901\pi\)
\(614\) −16.7197 12.0762i −0.674752 0.487356i
\(615\) 0.123573 + 0.0940328i 0.00498296 + 0.00379177i
\(616\) 8.18060 + 36.9579i 0.329606 + 1.48908i
\(617\) 1.92944 + 3.34190i 0.0776765 + 0.134540i 0.902247 0.431219i \(-0.141917\pi\)
−0.824571 + 0.565759i \(0.808583\pi\)
\(618\) 16.2037 + 3.77337i 0.651810 + 0.151787i
\(619\) 1.30529 + 4.87142i 0.0524642 + 0.195799i 0.987184 0.159587i \(-0.0510162\pi\)
−0.934720 + 0.355386i \(0.884350\pi\)
\(620\) 9.18887 6.04073i 0.369034 0.242601i
\(621\) −0.200895 0.150330i −0.00806163 0.00603255i
\(622\) 1.12414 0.915533i 0.0450739 0.0367095i
\(623\) 3.32741 5.76324i 0.133310 0.230899i
\(624\) 14.2721 24.1061i 0.571339 0.965016i
\(625\) −15.2845 26.4735i −0.611379 1.05894i
\(626\) −14.5504 5.53870i −0.581552 0.221371i
\(627\) 20.9505 2.84408i 0.836682 0.113582i
\(628\) 43.8852 2.54635i 1.75121 0.101611i
\(629\) 3.16137 3.16137i 0.126052 0.126052i
\(630\) −18.2164 22.0027i −0.725757 0.876607i
\(631\) 33.0513 1.31575 0.657876 0.753127i \(-0.271455\pi\)
0.657876 + 0.753127i \(0.271455\pi\)
\(632\) −23.8157 1.04767i −0.947337 0.0416742i
\(633\) 8.85925 + 21.1468i 0.352123 + 0.840510i
\(634\) −24.5082 + 10.9941i −0.973345 + 0.436630i
\(635\) −9.02289 + 33.6739i −0.358063 + 1.33631i
\(636\) 6.21738 + 31.8328i 0.246535 + 1.26225i
\(637\) −1.62740 6.07355i −0.0644801 0.240643i
\(638\) 33.1082 26.9643i 1.31077 1.06753i
\(639\) −3.03089 0.786012i −0.119900 0.0310942i
\(640\) 21.3636 24.6826i 0.844472 0.975664i
\(641\) 3.03668 + 1.75323i 0.119942 + 0.0692483i 0.558770 0.829322i \(-0.311273\pi\)
−0.438829 + 0.898571i \(0.644607\pi\)
\(642\) 41.2564 1.36224i 1.62826 0.0537633i
\(643\) 0.373234 1.39293i 0.0147189 0.0549318i −0.958176 0.286180i \(-0.907614\pi\)
0.972895 + 0.231248i \(0.0742810\pi\)
\(644\) 0.0708378 + 0.213934i 0.00279140 + 0.00843017i
\(645\) −12.0399 15.5605i −0.474069 0.612693i
\(646\) 11.3761 15.7503i 0.447585 0.619689i
\(647\) 17.3282i 0.681241i −0.940201 0.340621i \(-0.889363\pi\)
0.940201 0.340621i \(-0.110637\pi\)
\(648\) 25.4460 + 0.708890i 0.999612 + 0.0278478i
\(649\) 24.6773i 0.968668i
\(650\) 15.4148 + 11.1337i 0.604617 + 0.436699i
\(651\) −4.71309 6.09126i −0.184721 0.238735i
\(652\) 0.387234 + 0.194583i 0.0151653 + 0.00762045i
\(653\) −1.08794 + 4.06026i −0.0425745 + 0.158890i −0.983940 0.178497i \(-0.942877\pi\)
0.941366 + 0.337387i \(0.109543\pi\)
\(654\) 0.0593087 + 1.79621i 0.00231915 + 0.0702373i
\(655\) 6.77753 + 3.91301i 0.264820 + 0.152894i
\(656\) 0.114100 + 0.0492773i 0.00445485 + 0.00192395i
\(657\) 13.7836 + 3.57456i 0.537751 + 0.139457i
\(658\) 0.380644 + 0.467375i 0.0148390 + 0.0182202i
\(659\) 12.1404 + 45.3085i 0.472922 + 1.76497i 0.629187 + 0.777254i \(0.283388\pi\)
−0.156265 + 0.987715i \(0.549945\pi\)
\(660\) 32.0128 47.5531i 1.24610 1.85100i
\(661\) −8.48771 + 31.6766i −0.330134 + 1.23208i 0.578915 + 0.815388i \(0.303476\pi\)
−0.909049 + 0.416689i \(0.863191\pi\)
\(662\) −11.0553 24.6446i −0.429675 0.957840i
\(663\) −17.4681 41.6960i −0.678406 1.61934i
\(664\) −23.6889 25.8690i −0.919306 1.00391i
\(665\) 14.3299 0.555690
\(666\) −2.26350 + 1.87399i −0.0877087 + 0.0726155i
\(667\) 0.179755 0.179755i 0.00696015 0.00696015i
\(668\) 2.81063 3.15689i 0.108747 0.122144i
\(669\) −27.9871 + 3.79931i −1.08204 + 0.146890i
\(670\) 1.21473 3.19115i 0.0469292 0.123285i
\(671\) −18.9935 32.8977i −0.733236 1.27000i
\(672\) −18.3863 13.5889i −0.709268 0.524205i
\(673\) −1.37128 + 2.37512i −0.0528588 + 0.0915541i −0.891244 0.453524i \(-0.850167\pi\)
0.838385 + 0.545078i \(0.183500\pi\)
\(674\) 26.2214 + 32.1960i 1.01001 + 1.24014i
\(675\) −2.04815 + 17.1567i −0.0788333 + 0.660363i
\(676\) 6.56111 + 1.35626i 0.252350 + 0.0521639i
\(677\) 9.17117 + 34.2273i 0.352477 + 1.31546i 0.883630 + 0.468185i \(0.155092\pi\)
−0.531154 + 0.847276i \(0.678241\pi\)
\(678\) −6.15840 + 26.4456i −0.236512 + 1.01564i
\(679\) −7.69612 13.3301i −0.295350 0.511561i
\(680\) −11.3848 51.4335i −0.436586 1.97239i
\(681\) 31.7441 + 24.1556i 1.21644 + 0.925645i
\(682\) 9.04977 12.5295i 0.346534 0.479781i
\(683\) −0.646566 0.646566i −0.0247402 0.0247402i 0.694628 0.719369i \(-0.255569\pi\)
−0.719369 + 0.694628i \(0.755569\pi\)
\(684\) −8.41458 + 9.60591i −0.321740 + 0.367291i
\(685\) 30.6796 30.6796i 1.17221 1.17221i
\(686\) −27.8715 + 4.49442i −1.06414 + 0.171598i
\(687\) −13.0802 31.2221i −0.499041 1.19120i
\(688\) −12.3481 9.77242i −0.470766 0.372570i
\(689\) −32.7870 + 18.9296i −1.24908 + 0.721159i
\(690\) 0.160796 0.301032i 0.00612140 0.0114601i
\(691\) −34.5305 + 9.25241i −1.31360 + 0.351978i −0.846577 0.532266i \(-0.821341\pi\)
−0.467024 + 0.884245i \(0.654674\pi\)
\(692\) 3.75872 2.47097i 0.142885 0.0939321i
\(693\) −34.9303 19.7936i −1.32689 0.751895i
\(694\) −3.05497 + 29.8702i −0.115965 + 1.13386i
\(695\) 21.4444 + 12.3810i 0.813434 + 0.469636i
\(696\) −4.38450 + 25.4150i −0.166194 + 0.963354i
\(697\) 0.173693 0.100282i 0.00657908 0.00379844i
\(698\) 14.8528 + 33.1103i 0.562188 + 1.25324i
\(699\) 25.2081 19.5047i 0.953458 0.737734i
\(700\) 10.3193 11.5905i 0.390031 0.438081i
\(701\) −25.7079 25.7079i −0.970975 0.970975i 0.0286153 0.999590i \(-0.490890\pi\)
−0.999590 + 0.0286153i \(0.990890\pi\)
\(702\) 8.86215 + 28.3612i 0.334480 + 1.07042i
\(703\) 1.47417i 0.0555995i
\(704\) 15.7209 43.1046i 0.592505 1.62456i
\(705\) 0.115504 0.905509i 0.00435013 0.0341034i
\(706\) −29.1679 11.1029i −1.09775 0.417865i
\(707\) −18.7316 5.01912i −0.704474 0.188763i
\(708\) 9.78877 + 11.2403i 0.367885 + 0.422435i
\(709\) 24.0199 6.43610i 0.902085 0.241713i 0.222173 0.975007i \(-0.428685\pi\)
0.679911 + 0.733294i \(0.262018\pi\)
\(710\) 0.433318 4.23680i 0.0162622 0.159004i
\(711\) 17.7344 18.0225i 0.665093 0.675896i
\(712\) −7.15627 + 3.72232i −0.268193 + 0.139500i
\(713\) 0.0460091 0.0796901i 0.00172305 0.00298442i
\(714\) −35.3029 + 10.7199i −1.32118 + 0.401181i
\(715\) 64.6326 + 17.3183i 2.41712 + 0.647666i
\(716\) 5.50188 10.9491i 0.205615 0.409189i
\(717\) −39.8562 16.3212i −1.48846 0.609527i
\(718\) 2.96109 + 18.3628i 0.110507 + 0.685292i
\(719\) 3.00765 0.112167 0.0560833 0.998426i \(-0.482139\pi\)
0.0560833 + 0.998426i \(0.482139\pi\)
\(720\) 4.28144 + 34.3585i 0.159560 + 1.28047i
\(721\) 15.8491 0.590251
\(722\) 3.25779 + 20.2027i 0.121243 + 0.751868i
\(723\) 0.119395 + 0.879510i 0.00444036 + 0.0327093i
\(724\) −35.2575 17.7167i −1.31034 0.658436i
\(725\) −16.9092 4.53080i −0.627992 0.168270i
\(726\) 12.1626 52.2292i 0.451397 1.93841i
\(727\) −19.1265 + 33.1281i −0.709363 + 1.22865i 0.255730 + 0.966748i \(0.417684\pi\)
−0.965094 + 0.261905i \(0.915649\pi\)
\(728\) 8.03332 25.4492i 0.297735 0.943211i
\(729\) −18.6250 + 19.5477i −0.689814 + 0.723987i
\(730\) −1.97061 + 19.2678i −0.0729356 + 0.713132i
\(731\) −24.5458 + 6.57703i −0.907859 + 0.243260i
\(732\) 21.7009 + 7.45041i 0.802090 + 0.275375i
\(733\) −11.4887 3.07838i −0.424343 0.113702i 0.0403263 0.999187i \(-0.487160\pi\)
−0.464670 + 0.885484i \(0.653827\pi\)
\(734\) 7.83658 + 2.98304i 0.289253 + 0.110106i
\(735\) 6.18449 + 4.70608i 0.228119 + 0.173586i
\(736\) 0.0669996 0.264817i 0.00246964 0.00976127i
\(737\) 4.79920i 0.176781i
\(738\) −0.119839 + 0.0549221i −0.00441134 + 0.00202171i
\(739\) −30.0692 30.0692i −1.10611 1.10611i −0.993657 0.112457i \(-0.964128\pi\)
−0.112457 0.993657i \(-0.535872\pi\)
\(740\) −2.98525 2.65782i −0.109740 0.0977033i
\(741\) −13.7944 5.64883i −0.506748 0.207515i
\(742\) 12.6462 + 28.1911i 0.464255 + 1.03493i
\(743\) −4.00273 + 2.31098i −0.146846 + 0.0847815i −0.571623 0.820517i \(-0.693686\pi\)
0.424777 + 0.905298i \(0.360353\pi\)
\(744\) 0.848029 + 9.29687i 0.0310903 + 0.340840i
\(745\) 2.52821 + 1.45966i 0.0926264 + 0.0534779i
\(746\) −5.17663 + 50.6148i −0.189530 + 1.85314i
\(747\) 37.2031 0.299699i 1.36119 0.0109654i
\(748\) −40.6725 61.8691i −1.48713 2.26216i
\(749\) 37.9834 10.1776i 1.38788 0.371882i
\(750\) 11.8300 0.390613i 0.431971 0.0142632i
\(751\) 10.7097 6.18323i 0.390801 0.225629i −0.291706 0.956508i \(-0.594223\pi\)
0.682507 + 0.730879i \(0.260890\pi\)
\(752\) −0.0845024 0.725728i −0.00308148 0.0264646i
\(753\) 19.1576 + 2.44369i 0.698142 + 0.0890529i
\(754\) −29.7202 + 4.79253i −1.08235 + 0.174534i
\(755\) 33.8442 33.8442i 1.23172 1.23172i
\(756\) 23.7619 4.84007i 0.864213 0.176032i
\(757\) 15.8033 + 15.8033i 0.574380 + 0.574380i 0.933349 0.358969i \(-0.116872\pi\)
−0.358969 + 0.933349i \(0.616872\pi\)
\(758\) −5.32417 + 7.37140i −0.193383 + 0.267741i
\(759\) 0.0606953 0.475829i 0.00220310 0.0172715i
\(760\) −14.6463 9.33754i −0.531279 0.338708i
\(761\) −3.67823 6.37089i −0.133336 0.230944i 0.791625 0.611008i \(-0.209236\pi\)
−0.924961 + 0.380063i \(0.875902\pi\)
\(762\) −21.6064 20.2252i −0.782718 0.732681i
\(763\) 0.443110 + 1.65371i 0.0160416 + 0.0598682i
\(764\) 3.10257 15.0091i 0.112247 0.543011i
\(765\) 48.6117 + 27.5463i 1.75756 + 0.995938i
\(766\) 29.3311 + 36.0143i 1.05978 + 1.30125i
\(767\) −8.69908 + 15.0673i −0.314106 + 0.544047i
\(768\) 9.93761 + 25.8697i 0.358593 + 0.933494i
\(769\) 0.792301 + 1.37231i 0.0285711 + 0.0494866i 0.879957 0.475053i \(-0.157571\pi\)
−0.851386 + 0.524539i \(0.824238\pi\)
\(770\) 19.4273 51.0363i 0.700110 1.83922i
\(771\) −8.07107 + 19.7094i −0.290672 + 0.709818i
\(772\) −11.3238 10.0818i −0.407552 0.362851i
\(773\) −6.11545 + 6.11545i −0.219958 +