Properties

Label 74.2.h.a.3.2
Level $74$
Weight $2$
Character 74.3
Analytic conductor $0.591$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 74 = 2 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 74.h (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.590892974957\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{18})\)
Coefficient field: \(\Q(\zeta_{36})\)
Defining polynomial: \( x^{12} - x^{6} + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 3.2
Root \(0.642788 - 0.766044i\) of defining polynomial
Character \(\chi\) \(=\) 74.3
Dual form 74.2.h.a.25.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.642788 - 0.766044i) q^{2} +(1.43969 - 1.20805i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(-1.45842 + 4.00698i) q^{5} -1.87939i q^{6} +(-3.39364 - 1.23518i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(0.0923963 - 0.524005i) q^{9} +O(q^{10})\) \(q+(0.642788 - 0.766044i) q^{2} +(1.43969 - 1.20805i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(-1.45842 + 4.00698i) q^{5} -1.87939i q^{6} +(-3.39364 - 1.23518i) q^{7} +(-0.866025 - 0.500000i) q^{8} +(0.0923963 - 0.524005i) q^{9} +(2.13207 + 3.69285i) q^{10} +(1.05840 - 1.83321i) q^{11} +(-1.43969 - 1.20805i) q^{12} +(2.84019 - 0.500802i) q^{13} +(-3.12760 + 1.80572i) q^{14} +(2.74094 + 7.53066i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(0.0263137 + 0.00463982i) q^{17} +(-0.342020 - 0.407604i) q^{18} +(-2.07522 - 2.47315i) q^{19} +(4.19936 + 0.740460i) q^{20} +(-6.37796 + 2.32139i) q^{21} +(-0.723990 - 1.98915i) q^{22} +(2.57421 - 1.48622i) q^{23} +(-1.85083 + 0.326352i) q^{24} +(-10.0987 - 8.47380i) q^{25} +(1.44200 - 2.49762i) q^{26} +(2.31908 + 4.01676i) q^{27} +(-0.627119 + 3.55657i) q^{28} +(4.96493 + 2.86650i) q^{29} +(7.53066 + 2.74094i) q^{30} +6.76932i q^{31} +(-0.342020 + 0.939693i) q^{32} +(-0.690823 - 3.91785i) q^{33} +(0.0204685 - 0.0171751i) q^{34} +(9.89872 - 11.7968i) q^{35} -0.532089 q^{36} +(-4.49375 - 4.09954i) q^{37} -3.22847 q^{38} +(3.48401 - 4.15208i) q^{39} +(3.26652 - 2.74094i) q^{40} +(0.259000 + 1.46886i) q^{41} +(-2.32139 + 6.37796i) q^{42} -5.53737i q^{43} +(-1.98915 - 0.723990i) q^{44} +(1.96493 + 1.13445i) q^{45} +(0.516159 - 2.92728i) q^{46} +(-1.30654 - 2.26300i) q^{47} +(-0.939693 + 1.62760i) q^{48} +(4.62880 + 3.88403i) q^{49} +(-12.9826 + 2.28918i) q^{50} +(0.0434888 - 0.0251083i) q^{51} +(-0.986387 - 2.71008i) q^{52} +(-1.79389 + 0.652924i) q^{53} +(4.56769 + 0.805407i) q^{54} +(5.80203 + 6.91459i) q^{55} +(2.32139 + 2.76652i) q^{56} +(-5.97536 - 1.05362i) q^{57} +(5.38726 - 1.96080i) q^{58} +(1.92380 + 5.28560i) q^{59} +(6.94029 - 4.00698i) q^{60} +(-5.65366 + 0.996892i) q^{61} +(5.18560 + 4.35124i) q^{62} +(-0.960802 + 1.66416i) q^{63} +(0.500000 + 0.866025i) q^{64} +(-2.13549 + 12.1110i) q^{65} +(-3.44530 - 1.98915i) q^{66} +(-6.50406 - 2.36728i) q^{67} -0.0267197i q^{68} +(1.91065 - 5.24947i) q^{69} +(-2.67412 - 15.1657i) q^{70} +(-7.10830 + 5.96457i) q^{71} +(-0.342020 + 0.407604i) q^{72} +16.2707 q^{73} +(-6.02896 + 0.807274i) q^{74} -24.7757 q^{75} +(-2.07522 + 2.47315i) q^{76} +(-5.85619 + 4.91392i) q^{77} +(-0.941199 - 5.33781i) q^{78} +(-0.484006 + 1.32980i) q^{79} -4.26414i q^{80} +(9.69119 + 3.52730i) q^{81} +(1.29170 + 0.745761i) q^{82} +(-0.294580 + 1.67065i) q^{83} +(3.39364 + 5.87796i) q^{84} +(-0.0569682 + 0.0986718i) q^{85} +(-4.24187 - 3.55935i) q^{86} +(10.6108 - 1.87098i) q^{87} +(-1.83321 + 1.05840i) q^{88} +(2.82882 + 7.77213i) q^{89} +(2.13207 - 0.776010i) q^{90} +(-10.2572 - 1.80861i) q^{91} +(-1.91065 - 2.27702i) q^{92} +(8.17765 + 9.74574i) q^{93} +(-2.57339 - 0.453757i) q^{94} +(12.9364 - 4.70847i) q^{95} +(0.642788 + 1.76604i) q^{96} +(5.65105 - 3.26264i) q^{97} +(5.95067 - 1.04926i) q^{98} +(-0.862818 - 0.723990i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q + 6 q^{3} - 12 q^{7} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q + 6 q^{3} - 12 q^{7} - 6 q^{9} + 6 q^{10} - 6 q^{11} - 6 q^{12} + 6 q^{13} - 18 q^{14} - 18 q^{19} - 6 q^{21} - 18 q^{25} + 12 q^{26} - 6 q^{27} - 6 q^{28} + 18 q^{29} + 24 q^{30} - 6 q^{33} + 12 q^{34} + 18 q^{35} + 12 q^{36} + 30 q^{37} - 24 q^{38} + 30 q^{39} + 12 q^{40} + 24 q^{41} + 6 q^{44} - 18 q^{45} + 30 q^{46} + 6 q^{47} + 12 q^{49} - 36 q^{50} - 12 q^{52} - 12 q^{53} - 18 q^{55} - 36 q^{57} + 6 q^{58} - 36 q^{61} - 6 q^{63} + 6 q^{64} + 36 q^{65} - 30 q^{67} - 18 q^{69} - 12 q^{70} + 12 q^{71} - 48 q^{74} - 36 q^{75} - 18 q^{76} + 12 q^{77} - 6 q^{78} + 6 q^{79} + 24 q^{81} - 48 q^{83} + 12 q^{84} + 18 q^{85} - 36 q^{86} + 36 q^{87} - 36 q^{88} - 18 q^{89} + 6 q^{90} - 6 q^{91} + 18 q^{92} - 12 q^{93} + 36 q^{97} + 36 q^{98} + 30 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{13}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.642788 0.766044i 0.454519 0.541675i
\(3\) 1.43969 1.20805i 0.831207 0.697465i −0.124361 0.992237i \(-0.539688\pi\)
0.955568 + 0.294772i \(0.0952436\pi\)
\(4\) −0.173648 0.984808i −0.0868241 0.492404i
\(5\) −1.45842 + 4.00698i −0.652226 + 1.79198i −0.0428683 + 0.999081i \(0.513650\pi\)
−0.609358 + 0.792895i \(0.708573\pi\)
\(6\) 1.87939i 0.767256i
\(7\) −3.39364 1.23518i −1.28268 0.466856i −0.391359 0.920238i \(-0.627995\pi\)
−0.891316 + 0.453382i \(0.850217\pi\)
\(8\) −0.866025 0.500000i −0.306186 0.176777i
\(9\) 0.0923963 0.524005i 0.0307988 0.174668i
\(10\) 2.13207 + 3.69285i 0.674220 + 1.16778i
\(11\) 1.05840 1.83321i 0.319120 0.552733i −0.661184 0.750223i \(-0.729946\pi\)
0.980305 + 0.197491i \(0.0632792\pi\)
\(12\) −1.43969 1.20805i −0.415603 0.348733i
\(13\) 2.84019 0.500802i 0.787726 0.138897i 0.234707 0.972066i \(-0.424587\pi\)
0.553019 + 0.833169i \(0.313476\pi\)
\(14\) −3.12760 + 1.80572i −0.835885 + 0.482598i
\(15\) 2.74094 + 7.53066i 0.707707 + 1.94441i
\(16\) −0.939693 + 0.342020i −0.234923 + 0.0855050i
\(17\) 0.0263137 + 0.00463982i 0.00638202 + 0.00112532i 0.176838 0.984240i \(-0.443413\pi\)
−0.170456 + 0.985365i \(0.554524\pi\)
\(18\) −0.342020 0.407604i −0.0806149 0.0960731i
\(19\) −2.07522 2.47315i −0.476088 0.567380i 0.473534 0.880775i \(-0.342978\pi\)
−0.949623 + 0.313395i \(0.898534\pi\)
\(20\) 4.19936 + 0.740460i 0.939005 + 0.165572i
\(21\) −6.37796 + 2.32139i −1.39178 + 0.506568i
\(22\) −0.723990 1.98915i −0.154355 0.424087i
\(23\) 2.57421 1.48622i 0.536760 0.309899i −0.207005 0.978340i \(-0.566372\pi\)
0.743765 + 0.668441i \(0.233038\pi\)
\(24\) −1.85083 + 0.326352i −0.377800 + 0.0666163i
\(25\) −10.0987 8.47380i −2.01974 1.69476i
\(26\) 1.44200 2.49762i 0.282800 0.489823i
\(27\) 2.31908 + 4.01676i 0.446307 + 0.773026i
\(28\) −0.627119 + 3.55657i −0.118514 + 0.672129i
\(29\) 4.96493 + 2.86650i 0.921964 + 0.532296i 0.884261 0.466993i \(-0.154663\pi\)
0.0377027 + 0.999289i \(0.487996\pi\)
\(30\) 7.53066 + 2.74094i 1.37490 + 0.500424i
\(31\) 6.76932i 1.21581i 0.794011 + 0.607903i \(0.207989\pi\)
−0.794011 + 0.607903i \(0.792011\pi\)
\(32\) −0.342020 + 0.939693i −0.0604612 + 0.166116i
\(33\) −0.690823 3.91785i −0.120257 0.682011i
\(34\) 0.0204685 0.0171751i 0.00351031 0.00294550i
\(35\) 9.89872 11.7968i 1.67319 1.99403i
\(36\) −0.532089 −0.0886815
\(37\) −4.49375 4.09954i −0.738767 0.673961i
\(38\) −3.22847 −0.523727
\(39\) 3.48401 4.15208i 0.557887 0.664864i
\(40\) 3.26652 2.74094i 0.516482 0.433380i
\(41\) 0.259000 + 1.46886i 0.0404490 + 0.229398i 0.998330 0.0577674i \(-0.0183982\pi\)
−0.957881 + 0.287165i \(0.907287\pi\)
\(42\) −2.32139 + 6.37796i −0.358198 + 0.984140i
\(43\) 5.53737i 0.844441i −0.906493 0.422221i \(-0.861251\pi\)
0.906493 0.422221i \(-0.138749\pi\)
\(44\) −1.98915 0.723990i −0.299875 0.109146i
\(45\) 1.96493 + 1.13445i 0.292914 + 0.169114i
\(46\) 0.516159 2.92728i 0.0761035 0.431605i
\(47\) −1.30654 2.26300i −0.190579 0.330092i 0.754863 0.655882i \(-0.227703\pi\)
−0.945442 + 0.325790i \(0.894370\pi\)
\(48\) −0.939693 + 1.62760i −0.135633 + 0.234923i
\(49\) 4.62880 + 3.88403i 0.661257 + 0.554861i
\(50\) −12.9826 + 2.28918i −1.83602 + 0.323740i
\(51\) 0.0434888 0.0251083i 0.00608965 0.00351586i
\(52\) −0.986387 2.71008i −0.136787 0.375820i
\(53\) −1.79389 + 0.652924i −0.246410 + 0.0896860i −0.462273 0.886738i \(-0.652966\pi\)
0.215862 + 0.976424i \(0.430744\pi\)
\(54\) 4.56769 + 0.805407i 0.621584 + 0.109602i
\(55\) 5.80203 + 6.91459i 0.782345 + 0.932363i
\(56\) 2.32139 + 2.76652i 0.310208 + 0.369692i
\(57\) −5.97536 1.05362i −0.791456 0.139555i
\(58\) 5.38726 1.96080i 0.707382 0.257466i
\(59\) 1.92380 + 5.28560i 0.250457 + 0.688126i 0.999667 + 0.0257935i \(0.00821124\pi\)
−0.749210 + 0.662333i \(0.769567\pi\)
\(60\) 6.94029 4.00698i 0.895988 0.517299i
\(61\) −5.65366 + 0.996892i −0.723876 + 0.127639i −0.523434 0.852066i \(-0.675349\pi\)
−0.200443 + 0.979705i \(0.564238\pi\)
\(62\) 5.18560 + 4.35124i 0.658572 + 0.552608i
\(63\) −0.960802 + 1.66416i −0.121050 + 0.209664i
\(64\) 0.500000 + 0.866025i 0.0625000 + 0.108253i
\(65\) −2.13549 + 12.1110i −0.264875 + 1.50218i
\(66\) −3.44530 1.98915i −0.424087 0.244847i
\(67\) −6.50406 2.36728i −0.794597 0.289210i −0.0873516 0.996178i \(-0.527840\pi\)
−0.707246 + 0.706968i \(0.750063\pi\)
\(68\) 0.0267197i 0.00324024i
\(69\) 1.91065 5.24947i 0.230015 0.631962i
\(70\) −2.67412 15.1657i −0.319619 1.81265i
\(71\) −7.10830 + 5.96457i −0.843600 + 0.707865i −0.958371 0.285527i \(-0.907831\pi\)
0.114770 + 0.993392i \(0.463387\pi\)
\(72\) −0.342020 + 0.407604i −0.0403075 + 0.0480366i
\(73\) 16.2707 1.90434 0.952169 0.305571i \(-0.0988473\pi\)
0.952169 + 0.305571i \(0.0988473\pi\)
\(74\) −6.02896 + 0.807274i −0.700852 + 0.0938437i
\(75\) −24.7757 −2.86085
\(76\) −2.07522 + 2.47315i −0.238044 + 0.283690i
\(77\) −5.85619 + 4.91392i −0.667374 + 0.559993i
\(78\) −0.941199 5.33781i −0.106570 0.604388i
\(79\) −0.484006 + 1.32980i −0.0544549 + 0.149614i −0.963938 0.266128i \(-0.914256\pi\)
0.909483 + 0.415742i \(0.136478\pi\)
\(80\) 4.26414i 0.476745i
\(81\) 9.69119 + 3.52730i 1.07680 + 0.391923i
\(82\) 1.29170 + 0.745761i 0.142644 + 0.0823556i
\(83\) −0.294580 + 1.67065i −0.0323343 + 0.183377i −0.996697 0.0812054i \(-0.974123\pi\)
0.964363 + 0.264583i \(0.0852342\pi\)
\(84\) 3.39364 + 5.87796i 0.370276 + 0.641338i
\(85\) −0.0569682 + 0.0986718i −0.00617907 + 0.0107025i
\(86\) −4.24187 3.55935i −0.457413 0.383815i
\(87\) 10.6108 1.87098i 1.13760 0.200590i
\(88\) −1.83321 + 1.05840i −0.195421 + 0.112826i
\(89\) 2.82882 + 7.77213i 0.299855 + 0.823844i 0.994523 + 0.104514i \(0.0333288\pi\)
−0.694669 + 0.719330i \(0.744449\pi\)
\(90\) 2.13207 0.776010i 0.224740 0.0817986i
\(91\) −10.2572 1.80861i −1.07524 0.189594i
\(92\) −1.91065 2.27702i −0.199199 0.237396i
\(93\) 8.17765 + 9.74574i 0.847983 + 1.01059i
\(94\) −2.57339 0.453757i −0.265425 0.0468015i
\(95\) 12.9364 4.70847i 1.32725 0.483079i
\(96\) 0.642788 + 1.76604i 0.0656042 + 0.180246i
\(97\) 5.65105 3.26264i 0.573777 0.331270i −0.184879 0.982761i \(-0.559189\pi\)
0.758657 + 0.651491i \(0.225856\pi\)
\(98\) 5.95067 1.04926i 0.601109 0.105992i
\(99\) −0.862818 0.723990i −0.0867164 0.0727637i
\(100\) −6.59144 + 11.4167i −0.659144 + 1.14167i
\(101\) −8.29974 14.3756i −0.825855 1.43042i −0.901264 0.433271i \(-0.857359\pi\)
0.0754083 0.997153i \(-0.475974\pi\)
\(102\) 0.00872001 0.0494537i 0.000863410 0.00489664i
\(103\) 1.64095 + 0.947403i 0.161688 + 0.0933504i 0.578660 0.815569i \(-0.303576\pi\)
−0.416973 + 0.908919i \(0.636909\pi\)
\(104\) −2.71008 0.986387i −0.265745 0.0967232i
\(105\) 28.9419i 2.82444i
\(106\) −0.652924 + 1.79389i −0.0634176 + 0.174238i
\(107\) 0.0663781 + 0.376449i 0.00641702 + 0.0363927i 0.987848 0.155422i \(-0.0496738\pi\)
−0.981431 + 0.191815i \(0.938563\pi\)
\(108\) 3.55303 2.98135i 0.341891 0.286880i
\(109\) −0.620666 + 0.739681i −0.0594490 + 0.0708485i −0.794949 0.606676i \(-0.792503\pi\)
0.735500 + 0.677524i \(0.236947\pi\)
\(110\) 9.02635 0.860629
\(111\) −11.4220 0.473431i −1.08413 0.0449361i
\(112\) 3.61144 0.341249
\(113\) 1.21535 1.44839i 0.114330 0.136254i −0.705844 0.708367i \(-0.749432\pi\)
0.820174 + 0.572114i \(0.193876\pi\)
\(114\) −4.64801 + 3.90014i −0.435326 + 0.365282i
\(115\) 2.20098 + 12.4824i 0.205242 + 1.16399i
\(116\) 1.96080 5.38726i 0.182056 0.500195i
\(117\) 1.53455i 0.141869i
\(118\) 5.28560 + 1.92380i 0.486579 + 0.177100i
\(119\) −0.0835683 0.0482482i −0.00766070 0.00442291i
\(120\) 1.39161 7.89221i 0.127036 0.720457i
\(121\) 3.25957 + 5.64574i 0.296324 + 0.513249i
\(122\) −2.87044 + 4.97174i −0.259877 + 0.450120i
\(123\) 2.14733 + 1.80183i 0.193619 + 0.162465i
\(124\) 6.66648 1.17548i 0.598668 0.105561i
\(125\) 30.2182 17.4465i 2.70280 1.56046i
\(126\) 0.657228 + 1.80572i 0.0585505 + 0.160866i
\(127\) 15.1426 5.51145i 1.34369 0.489062i 0.432715 0.901531i \(-0.357556\pi\)
0.910972 + 0.412469i \(0.135334\pi\)
\(128\) 0.984808 + 0.173648i 0.0870455 + 0.0153485i
\(129\) −6.68940 7.97212i −0.588969 0.701906i
\(130\) 7.90487 + 9.42065i 0.693303 + 0.826246i
\(131\) −0.810446 0.142903i −0.0708090 0.0124855i 0.138131 0.990414i \(-0.455890\pi\)
−0.208940 + 0.977928i \(0.567001\pi\)
\(132\) −3.73837 + 1.36066i −0.325384 + 0.118430i
\(133\) 3.98776 + 10.9563i 0.345782 + 0.950029i
\(134\) −5.99417 + 3.46074i −0.517818 + 0.298962i
\(135\) −19.4773 + 3.43437i −1.67634 + 0.295583i
\(136\) −0.0204685 0.0171751i −0.00175516 0.00147275i
\(137\) −8.67847 + 15.0316i −0.741452 + 1.28423i 0.210382 + 0.977619i \(0.432529\pi\)
−0.951834 + 0.306613i \(0.900804\pi\)
\(138\) −2.79318 4.83793i −0.237772 0.411832i
\(139\) 1.60198 9.08528i 0.135878 0.770604i −0.838366 0.545108i \(-0.816489\pi\)
0.974244 0.225496i \(-0.0724002\pi\)
\(140\) −13.3365 7.69983i −1.12714 0.650755i
\(141\) −4.61482 1.67966i −0.388638 0.141453i
\(142\) 9.27923i 0.778696i
\(143\) 2.08799 5.73670i 0.174606 0.479727i
\(144\) 0.0923963 + 0.524005i 0.00769969 + 0.0436671i
\(145\) −18.7270 + 15.7138i −1.55519 + 1.30496i
\(146\) 10.4586 12.4641i 0.865559 1.03153i
\(147\) 11.3561 0.936638
\(148\) −3.25693 + 5.13735i −0.267718 + 0.422288i
\(149\) −7.73776 −0.633902 −0.316951 0.948442i \(-0.602659\pi\)
−0.316951 + 0.948442i \(0.602659\pi\)
\(150\) −15.9255 + 18.9793i −1.30031 + 1.54965i
\(151\) −9.68000 + 8.12248i −0.787747 + 0.660998i −0.945187 0.326530i \(-0.894120\pi\)
0.157440 + 0.987529i \(0.449676\pi\)
\(152\) 0.560618 + 3.17942i 0.0454721 + 0.257885i
\(153\) 0.00486258 0.0133598i 0.000393117 0.00108008i
\(154\) 7.64471i 0.616028i
\(155\) −27.1245 9.87253i −2.17870 0.792980i
\(156\) −4.69399 2.71008i −0.375820 0.216980i
\(157\) 2.26554 12.8485i 0.180810 1.02542i −0.750412 0.660971i \(-0.770145\pi\)
0.931222 0.364453i \(-0.118744\pi\)
\(158\) 0.707569 + 1.22555i 0.0562912 + 0.0974992i
\(159\) −1.79389 + 3.10712i −0.142265 + 0.246410i
\(160\) −3.26652 2.74094i −0.258241 0.216690i
\(161\) −10.5717 + 1.86408i −0.833167 + 0.146910i
\(162\) 8.93145 5.15657i 0.701721 0.405139i
\(163\) −8.63820 23.7332i −0.676596 1.85893i −0.476558 0.879143i \(-0.658116\pi\)
−0.200038 0.979788i \(-0.564107\pi\)
\(164\) 1.40157 0.510131i 0.109444 0.0398345i
\(165\) 16.7063 + 2.94577i 1.30058 + 0.229328i
\(166\) 1.09044 + 1.29953i 0.0846343 + 0.100863i
\(167\) −6.60851 7.87572i −0.511382 0.609441i 0.447139 0.894465i \(-0.352443\pi\)
−0.958521 + 0.285023i \(0.907999\pi\)
\(168\) 6.68417 + 1.17860i 0.515695 + 0.0909309i
\(169\) −4.40014 + 1.60152i −0.338472 + 0.123194i
\(170\) 0.0389686 + 0.107065i 0.00298875 + 0.00821153i
\(171\) −1.48769 + 0.858917i −0.113766 + 0.0656830i
\(172\) −5.45325 + 0.961555i −0.415806 + 0.0733179i
\(173\) 18.1222 + 15.2064i 1.37781 + 1.15612i 0.970016 + 0.243043i \(0.0781456\pi\)
0.407792 + 0.913075i \(0.366299\pi\)
\(174\) 5.38726 9.33101i 0.408407 0.707382i
\(175\) 23.8046 + 41.2307i 1.79946 + 3.11675i
\(176\) −0.367579 + 2.08465i −0.0277073 + 0.157136i
\(177\) 9.15492 + 5.28560i 0.688126 + 0.397290i
\(178\) 7.77213 + 2.82882i 0.582546 + 0.212029i
\(179\) 5.05746i 0.378013i 0.981976 + 0.189006i \(0.0605267\pi\)
−0.981976 + 0.189006i \(0.939473\pi\)
\(180\) 0.776010 2.13207i 0.0578404 0.158915i
\(181\) −0.181540 1.02956i −0.0134938 0.0765269i 0.977317 0.211781i \(-0.0679262\pi\)
−0.990811 + 0.135254i \(0.956815\pi\)
\(182\) −7.97865 + 6.69488i −0.591417 + 0.496258i
\(183\) −6.93524 + 8.26509i −0.512667 + 0.610973i
\(184\) −2.97244 −0.219131
\(185\) 22.9806 12.0275i 1.68956 0.884279i
\(186\) 12.7222 0.932834
\(187\) 0.0363563 0.0433277i 0.00265864 0.00316844i
\(188\) −2.00174 + 1.67966i −0.145992 + 0.122502i
\(189\) −2.90868 16.4959i −0.211575 1.19990i
\(190\) 4.70847 12.9364i 0.341588 0.938507i
\(191\) 13.4633i 0.974173i −0.873354 0.487087i \(-0.838060\pi\)
0.873354 0.487087i \(-0.161940\pi\)
\(192\) 1.76604 + 0.642788i 0.127453 + 0.0463892i
\(193\) 3.91641 + 2.26114i 0.281909 + 0.162760i 0.634288 0.773097i \(-0.281294\pi\)
−0.352378 + 0.935858i \(0.614627\pi\)
\(194\) 1.13310 6.42614i 0.0813519 0.461370i
\(195\) 11.5561 + 20.0158i 0.827552 + 1.43336i
\(196\) 3.02124 5.23293i 0.215803 0.373781i
\(197\) −9.47751 7.95257i −0.675245 0.566597i 0.239368 0.970929i \(-0.423060\pi\)
−0.914613 + 0.404331i \(0.867504\pi\)
\(198\) −1.10922 + 0.195585i −0.0788286 + 0.0138996i
\(199\) −3.90547 + 2.25483i −0.276852 + 0.159840i −0.631997 0.774971i \(-0.717765\pi\)
0.355146 + 0.934811i \(0.384431\pi\)
\(200\) 4.50881 + 12.3879i 0.318821 + 0.875954i
\(201\) −12.2236 + 4.44904i −0.862189 + 0.313811i
\(202\) −16.3473 2.88247i −1.15019 0.202810i
\(203\) −13.3085 15.8605i −0.934075 1.11319i
\(204\) −0.0322786 0.0384681i −0.00225995 0.00269331i
\(205\) −6.26344 1.10441i −0.437457 0.0771356i
\(206\) 1.78053 0.648062i 0.124056 0.0451526i
\(207\) −0.540940 1.48622i −0.0375980 0.103300i
\(208\) −2.49762 + 1.44200i −0.173179 + 0.0999848i
\(209\) −6.73022 + 1.18672i −0.465539 + 0.0820871i
\(210\) −22.1708 18.6035i −1.52993 1.28376i
\(211\) 8.12299 14.0694i 0.559209 0.968579i −0.438353 0.898803i \(-0.644438\pi\)
0.997563 0.0697764i \(-0.0222286\pi\)
\(212\) 0.954511 + 1.65326i 0.0655561 + 0.113546i
\(213\) −3.02829 + 17.1743i −0.207495 + 1.17676i
\(214\) 0.331044 + 0.191128i 0.0226297 + 0.0130653i
\(215\) 22.1881 + 8.07582i 1.51322 + 0.550767i
\(216\) 4.63816i 0.315587i
\(217\) 8.36136 22.9726i 0.567606 1.55948i
\(218\) 0.167672 + 0.950915i 0.0113562 + 0.0644041i
\(219\) 23.4248 19.6557i 1.58290 1.32821i
\(220\) 5.80203 6.91459i 0.391173 0.466181i
\(221\) 0.0770596 0.00518359
\(222\) −7.70462 + 8.44548i −0.517100 + 0.566824i
\(223\) −0.847777 −0.0567713 −0.0283857 0.999597i \(-0.509037\pi\)
−0.0283857 + 0.999597i \(0.509037\pi\)
\(224\) 2.32139 2.76652i 0.155104 0.184846i
\(225\) −5.37339 + 4.50881i −0.358226 + 0.300588i
\(226\) −0.328324 1.86202i −0.0218398 0.123860i
\(227\) −4.14827 + 11.3973i −0.275331 + 0.756464i 0.722546 + 0.691323i \(0.242972\pi\)
−0.997876 + 0.0651411i \(0.979250\pi\)
\(228\) 6.06754i 0.401833i
\(229\) −12.4674 4.53775i −0.823867 0.299863i −0.104528 0.994522i \(-0.533333\pi\)
−0.719339 + 0.694659i \(0.755555\pi\)
\(230\) 10.9768 + 6.33746i 0.723788 + 0.417879i
\(231\) −2.49486 + 14.1491i −0.164150 + 0.930941i
\(232\) −2.86650 4.96493i −0.188195 0.325963i
\(233\) −2.15328 + 3.72960i −0.141066 + 0.244334i −0.927898 0.372833i \(-0.878386\pi\)
0.786832 + 0.617167i \(0.211720\pi\)
\(234\) −1.17553 0.986387i −0.0768468 0.0644821i
\(235\) 10.9733 1.93489i 0.715818 0.126218i
\(236\) 4.87123 2.81241i 0.317090 0.183072i
\(237\) 0.909634 + 2.49920i 0.0590871 + 0.162340i
\(238\) −0.0906770 + 0.0330037i −0.00587771 + 0.00213931i
\(239\) −14.0259 2.47315i −0.907262 0.159975i −0.299502 0.954096i \(-0.596821\pi\)
−0.607760 + 0.794121i \(0.707932\pi\)
\(240\) −5.15127 6.13905i −0.332513 0.396274i
\(241\) 9.16681 + 10.9246i 0.590486 + 0.703714i 0.975699 0.219114i \(-0.0703166\pi\)
−0.385213 + 0.922828i \(0.625872\pi\)
\(242\) 6.42010 + 1.13204i 0.412699 + 0.0727700i
\(243\) 5.13816 1.87014i 0.329613 0.119969i
\(244\) 1.96349 + 5.39466i 0.125700 + 0.345357i
\(245\) −22.3140 + 12.8830i −1.42559 + 0.823063i
\(246\) 2.76056 0.486761i 0.176007 0.0310348i
\(247\) −7.13258 5.98494i −0.453835 0.380813i
\(248\) 3.38466 5.86241i 0.214926 0.372263i
\(249\) 1.59411 + 2.76108i 0.101023 + 0.174976i
\(250\) 6.05910 34.3629i 0.383211 2.17330i
\(251\) 21.3974 + 12.3538i 1.35059 + 0.779764i 0.988332 0.152314i \(-0.0486725\pi\)
0.362258 + 0.932078i \(0.382006\pi\)
\(252\) 1.80572 + 0.657228i 0.113750 + 0.0414014i
\(253\) 6.29208i 0.395580i
\(254\) 5.51145 15.1426i 0.345819 0.950130i
\(255\) 0.0371834 + 0.210877i 0.00232851 + 0.0132057i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) −10.5496 + 12.5726i −0.658068 + 0.784255i −0.987107 0.160062i \(-0.948831\pi\)
0.329039 + 0.944316i \(0.393275\pi\)
\(258\) −10.4069 −0.647903
\(259\) 10.1865 + 19.4630i 0.632956 + 1.20937i
\(260\) 12.2978 0.762676
\(261\) 1.96080 2.33679i 0.121371 0.144644i
\(262\) −0.630415 + 0.528981i −0.0389472 + 0.0326806i
\(263\) −4.88671 27.7139i −0.301327 1.70891i −0.640308 0.768118i \(-0.721193\pi\)
0.338980 0.940793i \(-0.389918\pi\)
\(264\) −1.36066 + 3.73837i −0.0837426 + 0.230081i
\(265\) 8.14034i 0.500057i
\(266\) 10.9563 + 3.98776i 0.671772 + 0.244505i
\(267\) 13.4617 + 7.77213i 0.823844 + 0.475647i
\(268\) −1.20190 + 6.81632i −0.0734178 + 0.416373i
\(269\) −11.5852 20.0661i −0.706359 1.22345i −0.966199 0.257798i \(-0.917003\pi\)
0.259840 0.965652i \(-0.416330\pi\)
\(270\) −9.88887 + 17.1280i −0.601818 + 1.04238i
\(271\) 8.12679 + 6.81919i 0.493667 + 0.414236i 0.855338 0.518070i \(-0.173349\pi\)
−0.361671 + 0.932306i \(0.617794\pi\)
\(272\) −0.0263137 + 0.00463982i −0.00159551 + 0.000281331i
\(273\) −16.9520 + 9.78726i −1.02598 + 0.592352i
\(274\) 5.93642 + 16.3102i 0.358632 + 0.985335i
\(275\) −26.2227 + 9.54428i −1.58129 + 0.575542i
\(276\) −5.50150 0.970062i −0.331151 0.0583909i
\(277\) 15.4537 + 18.4170i 0.928521 + 1.10657i 0.994073 + 0.108719i \(0.0346748\pi\)
−0.0655519 + 0.997849i \(0.520881\pi\)
\(278\) −5.93000 7.06710i −0.355658 0.423856i
\(279\) 3.54716 + 0.625460i 0.212363 + 0.0374453i
\(280\) −14.4710 + 5.26700i −0.864805 + 0.314763i
\(281\) 4.35215 + 11.9574i 0.259628 + 0.713321i 0.999190 + 0.0402335i \(0.0128102\pi\)
−0.739563 + 0.673088i \(0.764968\pi\)
\(282\) −4.25305 + 2.45550i −0.253265 + 0.146223i
\(283\) −0.253793 + 0.0447506i −0.0150864 + 0.00266015i −0.181186 0.983449i \(-0.557994\pi\)
0.166100 + 0.986109i \(0.446883\pi\)
\(284\) 7.10830 + 5.96457i 0.421800 + 0.353932i
\(285\) 12.9364 22.4065i 0.766287 1.32725i
\(286\) −3.05244 5.28697i −0.180494 0.312625i
\(287\) 0.935363 5.30471i 0.0552127 0.313127i
\(288\) 0.460802 + 0.266044i 0.0271530 + 0.0156768i
\(289\) −15.9741 5.81410i −0.939653 0.342006i
\(290\) 24.4463i 1.43554i
\(291\) 4.19436 11.5239i 0.245878 0.675544i
\(292\) −2.82537 16.0235i −0.165342 0.937704i
\(293\) −6.87967 + 5.77273i −0.401914 + 0.337246i −0.821233 0.570593i \(-0.806713\pi\)
0.419319 + 0.907839i \(0.362269\pi\)
\(294\) 7.29958 8.69930i 0.425720 0.507353i
\(295\) −23.9850 −1.39646
\(296\) 1.84193 + 5.79718i 0.107060 + 0.336954i
\(297\) 9.81807 0.569702
\(298\) −4.97374 + 5.92747i −0.288121 + 0.343369i
\(299\) 6.56694 5.51032i 0.379776 0.318670i
\(300\) 4.30226 + 24.3993i 0.248391 + 1.40870i
\(301\) −6.83967 + 18.7918i −0.394232 + 1.08314i
\(302\) 12.6363i 0.727140i
\(303\) −29.3154 10.6699i −1.68413 0.612972i
\(304\) 2.79594 + 1.61424i 0.160358 + 0.0925828i
\(305\) 4.25089 24.1080i 0.243405 1.38042i
\(306\) −0.00710862 0.0123125i −0.000406373 0.000703858i
\(307\) 7.39912 12.8157i 0.422290 0.731428i −0.573873 0.818944i \(-0.694560\pi\)
0.996163 + 0.0875163i \(0.0278930\pi\)
\(308\) 5.85619 + 4.91392i 0.333687 + 0.279997i
\(309\) 3.50697 0.618373i 0.199504 0.0351780i
\(310\) −24.9981 + 14.4327i −1.41980 + 0.819721i
\(311\) 9.13738 + 25.1047i 0.518133 + 1.42356i 0.872574 + 0.488481i \(0.162449\pi\)
−0.354441 + 0.935078i \(0.615329\pi\)
\(312\) −5.09328 + 1.85380i −0.288350 + 0.104951i
\(313\) 9.37905 + 1.65378i 0.530135 + 0.0934772i 0.432308 0.901726i \(-0.357699\pi\)
0.0978278 + 0.995203i \(0.468811\pi\)
\(314\) −8.38628 9.99438i −0.473265 0.564016i
\(315\) −5.26700 6.27696i −0.296762 0.353667i
\(316\) 1.39364 + 0.245736i 0.0783984 + 0.0138237i
\(317\) 14.2417 5.18354i 0.799891 0.291137i 0.0904498 0.995901i \(-0.471170\pi\)
0.709441 + 0.704764i \(0.248947\pi\)
\(318\) 1.22710 + 3.37142i 0.0688121 + 0.189060i
\(319\) 10.5098 6.06783i 0.588435 0.339733i
\(320\) −4.19936 + 0.740460i −0.234751 + 0.0413930i
\(321\) 0.550332 + 0.461783i 0.0307165 + 0.0257742i
\(322\) −5.36739 + 9.29660i −0.299113 + 0.518079i
\(323\) −0.0431318 0.0747066i −0.00239992 0.00415678i
\(324\) 1.79086 10.1565i 0.0994922 0.564248i
\(325\) −32.9258 19.0097i −1.82640 1.05447i
\(326\) −23.7332 8.63820i −1.31446 0.478425i
\(327\) 1.81470i 0.100353i
\(328\) 0.510131 1.40157i 0.0281673 0.0773889i
\(329\) 1.63872 + 9.29362i 0.0903453 + 0.512374i
\(330\) 12.9952 10.9042i 0.715361 0.600259i
\(331\) 1.32812 1.58279i 0.0729998 0.0869978i −0.728309 0.685249i \(-0.759693\pi\)
0.801308 + 0.598252i \(0.204138\pi\)
\(332\) 1.69642 0.0931030
\(333\) −2.56339 + 1.97596i −0.140473 + 0.108282i
\(334\) −10.2810 −0.562552
\(335\) 18.9713 22.6091i 1.03651 1.23527i
\(336\) 5.19936 4.36278i 0.283648 0.238009i
\(337\) −2.41835 13.7152i −0.131736 0.747112i −0.977077 0.212885i \(-0.931714\pi\)
0.845341 0.534227i \(-0.179397\pi\)
\(338\) −1.60152 + 4.40014i −0.0871112 + 0.239336i
\(339\) 3.55344i 0.192996i
\(340\) 0.107065 + 0.0389686i 0.00580643 + 0.00211337i
\(341\) 12.4096 + 7.16467i 0.672016 + 0.387989i
\(342\) −0.298299 + 1.69174i −0.0161301 + 0.0914786i
\(343\) 1.72903 + 2.99477i 0.0933588 + 0.161702i
\(344\) −2.76869 + 4.79551i −0.149278 + 0.258556i
\(345\) 18.2480 + 15.3119i 0.982438 + 0.824363i
\(346\) 23.2975 4.10798i 1.25248 0.220846i
\(347\) −17.5037 + 10.1058i −0.939647 + 0.542505i −0.889850 0.456254i \(-0.849191\pi\)
−0.0497972 + 0.998759i \(0.515857\pi\)
\(348\) −3.68510 10.1247i −0.197542 0.542743i
\(349\) −10.3271 + 3.75877i −0.552799 + 0.201202i −0.603290 0.797522i \(-0.706144\pi\)
0.0504906 + 0.998725i \(0.483922\pi\)
\(350\) 46.8859 + 8.26724i 2.50615 + 0.441903i
\(351\) 8.59822 + 10.2470i 0.458939 + 0.546942i
\(352\) 1.36066 + 1.62157i 0.0725232 + 0.0864298i
\(353\) −4.29024 0.756485i −0.228346 0.0402636i 0.0583041 0.998299i \(-0.481431\pi\)
−0.286650 + 0.958035i \(0.592542\pi\)
\(354\) 9.93368 3.61556i 0.527969 0.192165i
\(355\) −13.5330 37.1817i −0.718259 1.97340i
\(356\) 7.16283 4.13546i 0.379629 0.219179i
\(357\) −0.178599 + 0.0314918i −0.00945245 + 0.00166672i
\(358\) 3.87424 + 3.25088i 0.204760 + 0.171814i
\(359\) −3.84332 + 6.65683i −0.202843 + 0.351334i −0.949443 0.313939i \(-0.898351\pi\)
0.746600 + 0.665273i \(0.231685\pi\)
\(360\) −1.13445 1.96493i −0.0597908 0.103561i
\(361\) 1.48938 8.44667i 0.0783882 0.444562i
\(362\) −0.905384 0.522724i −0.0475859 0.0274737i
\(363\) 11.5131 + 4.19042i 0.604280 + 0.219940i
\(364\) 10.4154i 0.545915i
\(365\) −23.7295 + 65.1963i −1.24206 + 3.41253i
\(366\) 1.87354 + 10.6254i 0.0979317 + 0.555398i
\(367\) 15.8706 13.3170i 0.828440 0.695143i −0.126492 0.991968i \(-0.540372\pi\)
0.954932 + 0.296824i \(0.0959275\pi\)
\(368\) −1.91065 + 2.27702i −0.0995995 + 0.118698i
\(369\) 0.793623 0.0413143
\(370\) 5.55803 25.3353i 0.288948 1.31712i
\(371\) 6.89431 0.357935
\(372\) 8.17765 9.74574i 0.423991 0.505293i
\(373\) 11.9553 10.0317i 0.619023 0.519422i −0.278473 0.960444i \(-0.589828\pi\)
0.897496 + 0.441022i \(0.145384\pi\)
\(374\) −0.00982160 0.0557011i −0.000507863 0.00288023i
\(375\) 22.4288 61.6225i 1.15822 3.18217i
\(376\) 2.61309i 0.134760i
\(377\) 15.5369 + 5.65496i 0.800190 + 0.291245i
\(378\) −14.5063 8.37520i −0.746122 0.430774i
\(379\) −4.37193 + 24.7944i −0.224571 + 1.27360i 0.638933 + 0.769262i \(0.279376\pi\)
−0.863504 + 0.504342i \(0.831735\pi\)
\(380\) −6.88333 11.9223i −0.353107 0.611600i
\(381\) 15.1426 26.2277i 0.775778 1.34369i
\(382\) −10.3135 8.65407i −0.527685 0.442781i
\(383\) −29.7545 + 5.24652i −1.52038 + 0.268085i −0.870584 0.492020i \(-0.836259\pi\)
−0.649801 + 0.760105i \(0.725148\pi\)
\(384\) 1.62760 0.939693i 0.0830579 0.0479535i
\(385\) −11.1492 30.6322i −0.568216 1.56116i
\(386\) 4.24956 1.54671i 0.216297 0.0787255i
\(387\) −2.90161 0.511633i −0.147497 0.0260077i
\(388\) −4.19436 4.99865i −0.212937 0.253768i
\(389\) 16.0701 + 19.1516i 0.814786 + 0.971024i 0.999932 0.0116872i \(-0.00372024\pi\)
−0.185146 + 0.982711i \(0.559276\pi\)
\(390\) 22.7612 + 4.01341i 1.15256 + 0.203227i
\(391\) 0.0746329 0.0271642i 0.00377435 0.00137375i
\(392\) −2.06665 5.67806i −0.104381 0.286786i
\(393\) −1.33943 + 0.773318i −0.0675651 + 0.0390088i
\(394\) −12.1841 + 2.14838i −0.613824 + 0.108234i
\(395\) −4.62258 3.87881i −0.232587 0.195164i
\(396\) −0.563164 + 0.975429i −0.0283001 + 0.0490172i
\(397\) −6.83681 11.8417i −0.343130 0.594318i 0.641882 0.766803i \(-0.278154\pi\)
−0.985012 + 0.172485i \(0.944820\pi\)
\(398\) −0.783093 + 4.44114i −0.0392529 + 0.222614i
\(399\) 18.9768 + 10.9563i 0.950029 + 0.548499i
\(400\) 12.3879 + 4.50881i 0.619393 + 0.225441i
\(401\) 1.62020i 0.0809089i −0.999181 0.0404544i \(-0.987119\pi\)
0.999181 0.0404544i \(-0.0128806\pi\)
\(402\) −4.44904 + 12.2236i −0.221898 + 0.609659i
\(403\) 3.39009 + 19.2261i 0.168872 + 0.957723i
\(404\) −12.7159 + 10.6699i −0.632642 + 0.530850i
\(405\) −28.2677 + 33.6881i −1.40463 + 1.67398i
\(406\) −20.7044 −1.02754
\(407\) −12.2715 + 3.89900i −0.608276 + 0.193266i
\(408\) −0.0502166 −0.00248609
\(409\) −5.86780 + 6.99297i −0.290144 + 0.345780i −0.891351 0.453313i \(-0.850242\pi\)
0.601208 + 0.799093i \(0.294686\pi\)
\(410\) −4.87209 + 4.08817i −0.240615 + 0.201900i
\(411\) 5.66447 + 32.1248i 0.279408 + 1.58460i
\(412\) 0.648062 1.78053i 0.0319277 0.0877206i
\(413\) 20.3137i 0.999570i
\(414\) −1.48622 0.540940i −0.0730438 0.0265858i
\(415\) −6.26462 3.61688i −0.307518 0.177546i
\(416\) −0.500802 + 2.84019i −0.0245538 + 0.139252i
\(417\) −8.66908 15.0153i −0.424526 0.735301i
\(418\) −3.41702 + 5.91846i −0.167132 + 0.289481i
\(419\) 10.9146 + 9.15844i 0.533213 + 0.447419i 0.869209 0.494444i \(-0.164628\pi\)
−0.335996 + 0.941863i \(0.609073\pi\)
\(420\) −28.5022 + 5.02571i −1.39077 + 0.245230i
\(421\) 29.2667 16.8971i 1.42637 0.823516i 0.429539 0.903048i \(-0.358676\pi\)
0.996832 + 0.0795325i \(0.0253427\pi\)
\(422\) −5.55645 15.2662i −0.270484 0.743148i
\(423\) −1.30654 + 0.475543i −0.0635263 + 0.0231217i
\(424\) 1.88002 + 0.331498i 0.0913018 + 0.0160990i
\(425\) −0.226417 0.269833i −0.0109828 0.0130888i
\(426\) 11.2097 + 13.3592i 0.543113 + 0.647257i
\(427\) 20.4178 + 3.60021i 0.988087 + 0.174226i
\(428\) 0.359204 0.130739i 0.0173628 0.00631953i
\(429\) −3.92414 10.7815i −0.189459 0.520534i
\(430\) 20.4487 11.8061i 0.986124 0.569339i
\(431\) 38.2487 6.74428i 1.84238 0.324861i 0.859787 0.510652i \(-0.170596\pi\)
0.982589 + 0.185791i \(0.0594849\pi\)
\(432\) −3.55303 2.98135i −0.170945 0.143440i
\(433\) −9.05610 + 15.6856i −0.435208 + 0.753803i −0.997313 0.0732633i \(-0.976659\pi\)
0.562104 + 0.827066i \(0.309992\pi\)
\(434\) −12.2235 21.1717i −0.586746 1.01627i
\(435\) −7.97810 + 45.2461i −0.382521 + 2.16938i
\(436\) 0.836221 + 0.482792i 0.0400477 + 0.0231216i
\(437\) −9.01771 3.28218i −0.431376 0.157008i
\(438\) 30.5789i 1.46111i
\(439\) −4.90855 + 13.4861i −0.234273 + 0.643659i 0.765727 + 0.643165i \(0.222379\pi\)
−1.00000 0.000493184i \(0.999843\pi\)
\(440\) −1.56741 8.88922i −0.0747233 0.423777i
\(441\) 2.46293 2.06665i 0.117283 0.0984117i
\(442\) 0.0495330 0.0590311i 0.00235604 0.00280782i
\(443\) 5.43539 0.258243 0.129121 0.991629i \(-0.458784\pi\)
0.129121 + 0.991629i \(0.458784\pi\)
\(444\) 1.51718 + 11.3307i 0.0720021 + 0.537733i
\(445\) −35.2684 −1.67188
\(446\) −0.544940 + 0.649435i −0.0258037 + 0.0307516i
\(447\) −11.1400 + 9.34757i −0.526904 + 0.442125i
\(448\) −0.627119 3.55657i −0.0296286 0.168032i
\(449\) −0.0445442 + 0.122384i −0.00210217 + 0.00577566i −0.940739 0.339131i \(-0.889867\pi\)
0.938637 + 0.344906i \(0.112089\pi\)
\(450\) 7.01447i 0.330665i
\(451\) 2.96686 + 1.07985i 0.139704 + 0.0508480i
\(452\) −1.63743 0.945373i −0.0770184 0.0444666i
\(453\) −4.12389 + 23.3878i −0.193757 + 1.09885i
\(454\) 6.06437 + 10.5038i 0.284615 + 0.492968i
\(455\) 22.2063 38.4625i 1.04105 1.80315i
\(456\) 4.64801 + 3.90014i 0.217663 + 0.182641i
\(457\) 27.8381 4.90861i 1.30221 0.229615i 0.520825 0.853663i \(-0.325624\pi\)
0.781386 + 0.624048i \(0.214513\pi\)
\(458\) −11.4900 + 6.63375i −0.536892 + 0.309975i
\(459\) 0.0423866 + 0.116456i 0.00197844 + 0.00543571i
\(460\) 11.9105 4.33508i 0.555331 0.202124i
\(461\) −7.89127 1.39144i −0.367533 0.0648060i −0.0131684 0.999913i \(-0.504192\pi\)
−0.354365 + 0.935107i \(0.615303\pi\)
\(462\) 9.23515 + 11.0060i 0.429658 + 0.512047i
\(463\) −22.0020 26.2210i −1.02252 1.21859i −0.975568 0.219697i \(-0.929493\pi\)
−0.0469535 0.998897i \(-0.514951\pi\)
\(464\) −5.64591 0.995526i −0.262105 0.0462161i
\(465\) −50.9775 + 18.5543i −2.36402 + 0.860434i
\(466\) 1.47293 + 4.04685i 0.0682323 + 0.187467i
\(467\) −17.7860 + 10.2688i −0.823040 + 0.475182i −0.851464 0.524414i \(-0.824285\pi\)
0.0284236 + 0.999596i \(0.490951\pi\)
\(468\) −1.51123 + 0.266471i −0.0698567 + 0.0123176i
\(469\) 19.1484 + 16.0674i 0.884191 + 0.741925i
\(470\) 5.57128 9.64974i 0.256984 0.445109i
\(471\) −12.2599 21.2348i −0.564907 0.978448i
\(472\) 0.976739 5.53936i 0.0449581 0.254970i
\(473\) −10.1512 5.86077i −0.466750 0.269479i
\(474\) 2.49920 + 0.909634i 0.114792 + 0.0417809i
\(475\) 42.5606i 1.95281i
\(476\) −0.0330037 + 0.0906770i −0.00151272 + 0.00415617i
\(477\) 0.176387 + 1.00034i 0.00807619 + 0.0458023i
\(478\) −10.9102 + 9.15478i −0.499023 + 0.418730i
\(479\) −4.04948 + 4.82598i −0.185025 + 0.220505i −0.850582 0.525843i \(-0.823750\pi\)
0.665556 + 0.746348i \(0.268194\pi\)
\(480\) −8.01396 −0.365786
\(481\) −14.8161 9.39299i −0.675558 0.428284i
\(482\) 14.2610 0.649572
\(483\) −12.9681 + 15.4548i −0.590070 + 0.703218i
\(484\) 4.99395 4.19042i 0.226998 0.190474i
\(485\) 4.83170 + 27.4019i 0.219396 + 1.24426i
\(486\) 1.87014 5.13816i 0.0848311 0.233071i
\(487\) 27.5903i 1.25024i 0.780530 + 0.625118i \(0.214949\pi\)
−0.780530 + 0.625118i \(0.785051\pi\)
\(488\) 5.39466 + 1.96349i 0.244205 + 0.0888832i
\(489\) −41.1072 23.7332i −1.85893 1.07325i
\(490\) −4.47421 + 25.3745i −0.202124 + 1.14630i
\(491\) −16.5100 28.5962i −0.745088 1.29053i −0.950154 0.311781i \(-0.899074\pi\)
0.205066 0.978748i \(-0.434259\pi\)
\(492\) 1.40157 2.42760i 0.0631878 0.109444i
\(493\) 0.117346 + 0.0984648i 0.00528499 + 0.00443463i
\(494\) −9.16946 + 1.61682i −0.412554 + 0.0727443i
\(495\) 4.15937 2.40141i 0.186950 0.107935i
\(496\) −2.31524 6.36108i −0.103958 0.285621i
\(497\) 31.4904 11.4616i 1.41254 0.514121i
\(498\) 3.13979 + 0.553629i 0.140697 + 0.0248087i
\(499\) 13.5539 + 16.1529i 0.606756 + 0.723103i 0.978733 0.205139i \(-0.0657645\pi\)
−0.371977 + 0.928242i \(0.621320\pi\)
\(500\) −22.4288 26.7296i −1.00305 1.19538i
\(501\) −19.0284 3.35523i −0.850128 0.149901i
\(502\) 23.2175 8.45048i 1.03625 0.377164i
\(503\) 6.03817 + 16.5897i 0.269229 + 0.739700i 0.998462 + 0.0554349i \(0.0176545\pi\)
−0.729234 + 0.684265i \(0.760123\pi\)
\(504\) 1.66416 0.960802i 0.0741275 0.0427975i
\(505\) 69.7072 12.2913i 3.10193 0.546954i
\(506\) −4.82002 4.04447i −0.214276 0.179799i
\(507\) −4.40014 + 7.62127i −0.195417 + 0.338472i
\(508\) −8.05720 13.9555i −0.357480 0.619174i
\(509\) 7.26094 41.1788i 0.321835 1.82522i −0.209203 0.977872i \(-0.567087\pi\)
0.531039 0.847347i \(-0.321802\pi\)
\(510\) 0.185442 + 0.107065i 0.00821153 + 0.00474093i
\(511\) −55.2168 20.0973i −2.44265 0.889051i
\(512\) 1.00000i 0.0441942i
\(513\) 5.12146 14.0711i 0.226118 0.621254i
\(514\) 2.84997 + 16.1630i 0.125707 + 0.712918i
\(515\) −6.18942 + 5.19354i −0.272738 + 0.228855i
\(516\) −6.68940 + 7.97212i −0.294484 + 0.350953i
\(517\) −5.53139 −0.243270
\(518\) 21.4572 + 4.70727i 0.942777 + 0.206826i
\(519\) 44.4604 1.95160
\(520\) 7.90487 9.42065i 0.346651 0.413123i
\(521\) 27.5629 23.1280i 1.20755 1.01326i 0.208170 0.978093i \(-0.433249\pi\)
0.999382 0.0351633i \(-0.0111951\pi\)
\(522\) −0.529708 3.00412i −0.0231847 0.131487i
\(523\) −11.2216 + 30.8312i −0.490688 + 1.34815i 0.409363 + 0.912371i \(0.365751\pi\)
−0.900052 + 0.435783i \(0.856471\pi\)
\(524\) 0.822948i 0.0359507i
\(525\) 84.0799 + 30.6026i 3.66955 + 1.33561i
\(526\) −24.3712 14.0707i −1.06263 0.613512i
\(527\) −0.0314085 + 0.178126i −0.00136817 + 0.00775930i
\(528\) 1.98915 + 3.44530i 0.0865665 + 0.149938i
\(529\) −7.08229 + 12.2669i −0.307926 + 0.533343i
\(530\) −6.23586 5.23251i −0.270868 0.227286i
\(531\) 2.94743 0.519712i 0.127908 0.0225536i
\(532\) 10.0974 5.82971i 0.437776 0.252750i
\(533\) 1.47122 + 4.04214i 0.0637255 + 0.175085i
\(534\) 14.6068 5.31645i 0.632099 0.230065i
\(535\) −1.60523 0.283046i −0.0694002 0.0122371i
\(536\) 4.44904 + 5.30216i 0.192169 + 0.229018i
\(537\) 6.10965 + 7.28119i 0.263651 + 0.314207i
\(538\) −22.8183 4.02348i −0.983766 0.173465i
\(539\) 12.0194 4.37469i 0.517710 0.188431i
\(540\) 6.76439 + 18.5850i 0.291093 + 0.799771i
\(541\) 32.4941 18.7605i 1.39703 0.806576i 0.402950 0.915222i \(-0.367985\pi\)
0.994080 + 0.108646i \(0.0346516\pi\)
\(542\) 10.4476 1.84219i 0.448763 0.0791290i
\(543\) −1.50512 1.26295i −0.0645910 0.0541983i
\(544\) −0.0133598 + 0.0231399i −0.000572798 + 0.000992116i
\(545\) −2.05869 3.56576i −0.0881847 0.152740i
\(546\) −3.39908 + 19.2771i −0.145467 + 0.824986i
\(547\) −22.5841 13.0389i −0.965627 0.557505i −0.0677265 0.997704i \(-0.521575\pi\)
−0.897900 + 0.440199i \(0.854908\pi\)
\(548\) 16.3102 + 5.93642i 0.696737 + 0.253591i
\(549\) 3.05465i 0.130369i
\(550\) −9.54428 + 26.2227i −0.406969 + 1.11814i
\(551\) −3.21403 18.2276i −0.136922 0.776524i
\(552\) −4.27940 + 3.59085i −0.182144 + 0.152837i
\(553\) 3.28508 3.91501i 0.139696 0.166483i
\(554\) 24.0416 1.02143
\(555\) 18.5552 45.0775i 0.787624 1.91343i
\(556\) −9.22544 −0.391246
\(557\) −4.18253 + 4.98455i −0.177220 + 0.211202i −0.847341 0.531050i \(-0.821798\pi\)
0.670121 + 0.742252i \(0.266242\pi\)
\(558\) 2.75920 2.31524i 0.116806 0.0980121i
\(559\) −2.77313 15.7272i −0.117291 0.665189i
\(560\) −5.26700 + 14.4710i −0.222571 + 0.611509i
\(561\) 0.106299i 0.00448793i
\(562\) 11.9574 + 4.35215i 0.504394 + 0.183585i
\(563\) −33.5577 19.3746i −1.41429 0.816540i −0.418500 0.908217i \(-0.637444\pi\)
−0.995789 + 0.0916766i \(0.970777\pi\)
\(564\) −0.852785 + 4.83638i −0.0359087 + 0.203649i
\(565\) 4.03120 + 6.98224i 0.169594 + 0.293745i
\(566\) −0.128854 + 0.223182i −0.00541615 + 0.00938104i
\(567\) −28.5315 23.9408i −1.19821 1.00542i
\(568\) 9.13826 1.61132i 0.383433 0.0676095i
\(569\) 11.1846 6.45744i 0.468883 0.270710i −0.246889 0.969044i \(-0.579408\pi\)
0.715772 + 0.698334i \(0.246075\pi\)
\(570\) −8.84903 24.3125i −0.370645 1.01834i
\(571\) −2.81875 + 1.02594i −0.117961 + 0.0429343i −0.400326 0.916373i \(-0.631103\pi\)
0.282365 + 0.959307i \(0.408881\pi\)
\(572\) −6.01212 1.06010i −0.251380 0.0443250i
\(573\) −16.2643 19.3831i −0.679452 0.809739i
\(574\) −3.46240 4.12633i −0.144518 0.172230i
\(575\) −38.5901 6.80447i −1.60932 0.283766i
\(576\) 0.500000 0.181985i 0.0208333 0.00758271i
\(577\) 9.86791 + 27.1119i 0.410806 + 1.12868i 0.956763 + 0.290868i \(0.0939440\pi\)
−0.545957 + 0.837813i \(0.683834\pi\)
\(578\) −14.7218 + 8.49964i −0.612347 + 0.353539i
\(579\) 8.36999 1.47586i 0.347845 0.0613344i
\(580\) 18.7270 + 15.7138i 0.777595 + 0.652480i
\(581\) 3.06325 5.30571i 0.127085 0.220118i
\(582\) −6.13175 10.6205i −0.254169 0.440234i
\(583\) −0.701717 + 3.97964i −0.0290622 + 0.164820i
\(584\) −14.0908 8.13534i −0.583082 0.336643i
\(585\) 6.14889 + 2.23801i 0.254225 + 0.0925305i
\(586\) 8.98077i 0.370992i
\(587\) 8.30296 22.8122i 0.342700 0.941560i −0.641908 0.766782i \(-0.721857\pi\)
0.984608 0.174778i \(-0.0559208\pi\)
\(588\) −1.97197 11.1836i −0.0813227 0.461204i
\(589\) 16.7416 14.0478i 0.689824 0.578831i
\(590\) −15.4173 + 18.3736i −0.634719 + 0.756428i
\(591\) −23.2518 −0.956450
\(592\) 5.62487 + 2.31536i 0.231181 + 0.0951606i
\(593\) 12.0052 0.492995 0.246497 0.969143i \(-0.420720\pi\)
0.246497 + 0.969143i \(0.420720\pi\)
\(594\) 6.31094 7.52108i 0.258941 0.308594i
\(595\) 0.315207 0.264490i 0.0129222 0.0108431i
\(596\) 1.34365 + 7.62021i 0.0550380 + 0.312136i
\(597\) −2.89875 + 7.96425i −0.118638 + 0.325955i
\(598\) 8.57253i 0.350557i
\(599\) 17.9026 + 6.51602i 0.731481 + 0.266237i 0.680792 0.732477i \(-0.261636\pi\)
0.0506895 + 0.998714i \(0.483858\pi\)
\(600\) 21.4564 + 12.3879i 0.875954 + 0.505732i
\(601\) −3.95300 + 22.4186i −0.161246 + 0.914472i 0.791605 + 0.611033i \(0.209246\pi\)
−0.952851 + 0.303439i \(0.901865\pi\)
\(602\) 9.99893 + 17.3187i 0.407526 + 0.705856i
\(603\) −1.84142 + 3.18943i −0.0749884 + 0.129884i
\(604\) 9.68000 + 8.12248i 0.393874 + 0.330499i
\(605\) −27.3762 + 4.82716i −1.11300 + 0.196252i
\(606\) −27.0173 + 15.5984i −1.09750 + 0.633642i
\(607\) −6.70527 18.4226i −0.272159 0.747750i −0.998193 0.0600911i \(-0.980861\pi\)
0.726034 0.687658i \(-0.241361\pi\)
\(608\) 3.03377 1.10420i 0.123036 0.0447813i
\(609\) −38.3203 6.75691i −1.55282 0.273804i
\(610\) −15.7354 18.7527i −0.637106 0.759274i
\(611\) −4.84414 5.77302i −0.195973 0.233551i
\(612\) −0.0140013 0.00246880i −0.000565967 9.97953e-5i
\(613\) 2.38568 0.868317i 0.0963568 0.0350710i −0.293392 0.955992i \(-0.594784\pi\)
0.389749 + 0.920921i \(0.372562\pi\)
\(614\) −5.06130 13.9058i −0.204257 0.561192i
\(615\) −10.3516 + 5.97650i −0.417417 + 0.240996i
\(616\) 7.52857 1.32749i 0.303335 0.0534861i
\(617\) −14.5342 12.1956i −0.585124 0.490977i 0.301502 0.953466i \(-0.402512\pi\)
−0.886625 + 0.462489i \(0.846957\pi\)
\(618\) 1.78053 3.08398i 0.0716236 0.124056i
\(619\) −1.25679 2.17683i −0.0505147 0.0874940i 0.839662 0.543109i \(-0.182753\pi\)
−0.890177 + 0.455615i \(0.849420\pi\)
\(620\) −5.01241 + 28.4268i −0.201303 + 1.14165i
\(621\) 11.9396 + 6.89333i 0.479119 + 0.276620i
\(622\) 25.1047 + 9.13738i 1.00661 + 0.366376i
\(623\) 29.8699i 1.19671i
\(624\) −1.85380 + 5.09328i −0.0742114 + 0.203894i
\(625\) 14.3909 + 81.6150i 0.575637 + 3.26460i
\(626\) 7.29561 6.12174i 0.291591 0.244674i
\(627\) −8.25584 + 9.83892i −0.329706 + 0.392929i
\(628\) −13.0467 −0.520621
\(629\) −0.0992261 0.128724i −0.00395640 0.00513258i
\(630\) −8.19399 −0.326456
\(631\) −4.27007 + 5.08887i −0.169989 + 0.202585i −0.844313 0.535851i \(-0.819991\pi\)
0.674324 + 0.738436i \(0.264435\pi\)
\(632\) 1.08406 0.909634i 0.0431216 0.0361833i
\(633\) −5.30190 30.0686i −0.210732 1.19512i
\(634\) 5.18354 14.2417i 0.205865 0.565609i
\(635\) 68.7140i 2.72683i
\(636\) 3.37142 + 1.22710i 0.133685 + 0.0486575i
\(637\) 15.0918 + 8.71325i 0.597958 + 0.345231i
\(638\) 2.10733 11.9513i 0.0834301 0.473156i
\(639\) 2.46869 + 4.27589i 0.0976598 + 0.169152i
\(640\) −2.13207 + 3.69285i −0.0842775 + 0.145973i
\(641\) 6.30793 + 5.29298i 0.249148 + 0.209060i 0.758805 0.651317i \(-0.225783\pi\)
−0.509657 + 0.860378i \(0.670228\pi\)
\(642\) 0.707493 0.124750i 0.0279225 0.00492349i
\(643\) −12.3142 + 7.10959i −0.485623 + 0.280375i −0.722757 0.691102i \(-0.757125\pi\)
0.237134 + 0.971477i \(0.423792\pi\)
\(644\) 3.67151 + 10.0874i 0.144678 + 0.397499i
\(645\) 41.7001 15.1776i 1.64194 0.597617i
\(646\) −0.0849532 0.0149795i −0.00334244 0.000589362i
\(647\) 25.6313 + 30.5462i 1.00767 + 1.20089i 0.979532 + 0.201291i \(0.0645136\pi\)
0.0281389 + 0.999604i \(0.491042\pi\)
\(648\) −6.62916 7.90033i −0.260418 0.310354i
\(649\) 11.7258 + 2.06757i 0.460276 + 0.0811591i
\(650\) −35.7266 + 13.0034i −1.40131 + 0.510036i
\(651\) −15.7142 43.1744i −0.615889 1.69214i
\(652\) −21.8727 + 12.6282i −0.856600 + 0.494558i
\(653\) 7.99174 1.40916i 0.312741 0.0551447i −0.0150747 0.999886i \(-0.504799\pi\)
0.327816 + 0.944742i \(0.393687\pi\)
\(654\) 1.39014 + 1.16647i 0.0543590 + 0.0456126i
\(655\) 1.75458 3.03903i 0.0685572 0.118745i
\(656\) −0.745761 1.29170i −0.0291171 0.0504323i
\(657\) 1.50335 8.52592i 0.0586513 0.332628i
\(658\) 8.17267 + 4.71850i 0.318604 + 0.183946i
\(659\) 26.3535 + 9.59188i 1.02659 + 0.373647i 0.799780 0.600293i \(-0.204950\pi\)
0.226806 + 0.973940i \(0.427172\pi\)
\(660\) 16.9640i 0.660323i
\(661\) −1.54764 + 4.25209i −0.0601961 + 0.165387i −0.966145 0.258000i \(-0.916937\pi\)
0.905949 + 0.423387i \(0.139159\pi\)
\(662\) −0.358788 2.03479i −0.0139447 0.0790844i
\(663\) 0.110942 0.0930915i 0.00430864 0.00361537i
\(664\) 1.09044 1.29953i 0.0423171 0.0504316i
\(665\) −49.7174 −1.92796
\(666\) −0.134037 + 3.23379i −0.00519383 + 0.125307i
\(667\) 17.0410 0.659831
\(668\) −6.60851 + 7.87572i −0.255691 + 0.304721i
\(669\) −1.22054 + 1.02415i −0.0471887 + 0.0395960i
\(670\) −5.12508 29.0658i −0.197999 1.12291i
\(671\) −4.15633 + 11.4194i −0.160454 + 0.440842i
\(672\) 6.78728i 0.261825i
\(673\) −9.85346 3.58637i −0.379823 0.138244i 0.145051 0.989424i \(-0.453665\pi\)
−0.524874 + 0.851180i \(0.675888\pi\)
\(674\) −12.0609 6.96337i −0.464569 0.268219i
\(675\) 10.6176 60.2154i 0.408671 2.31769i
\(676\) 2.34127 + 4.05519i 0.0900487 + 0.155969i
\(677\) −13.4277 + 23.2574i −0.516067 + 0.893853i 0.483760 + 0.875201i \(0.339271\pi\)
−0.999826 + 0.0186525i \(0.994062\pi\)
\(678\) −2.72209 2.28411i −0.104541 0.0877206i
\(679\) −23.2076 + 4.09212i −0.890625 + 0.157041i
\(680\) 0.0986718 0.0569682i 0.00378389 0.00218463i
\(681\) 7.79620 + 21.4199i 0.298751 + 0.820812i
\(682\) 13.4652 4.90092i 0.515608 0.187666i
\(683\) 17.6006 + 3.10346i 0.673469 + 0.118751i 0.499916 0.866074i \(-0.333364\pi\)
0.173553 + 0.984825i \(0.444475\pi\)
\(684\) 1.10420 + 1.31594i 0.0422202 + 0.0503161i
\(685\) −47.5743 56.6968i −1.81772 2.16627i
\(686\) 3.40552 + 0.600485i 0.130023 + 0.0229266i
\(687\) −23.4310 + 8.52819i −0.893948 + 0.325371i
\(688\) 1.89389 + 5.20343i 0.0722040 + 0.198379i
\(689\) −4.76801 + 2.75281i −0.181647 + 0.104874i
\(690\) 23.4591 4.13648i 0.893074 0.157473i
\(691\) 16.1699 + 13.5682i 0.615133 + 0.516158i 0.896269 0.443510i \(-0.146267\pi\)
−0.281137 + 0.959668i \(0.590711\pi\)
\(692\) 11.8284 20.4875i 0.449650 0.778817i
\(693\) 2.03383 + 3.52270i 0.0772589 + 0.133816i
\(694\) −3.50969 + 19.9044i −0.133226 + 0.755563i
\(695\) 34.0682 + 19.6693i 1.29228 + 0.746098i
\(696\) −10.1247 3.68510i −0.383777 0.139683i
\(697\) 0.0398530i 0.00150954i
\(698\) −3.75877 + 10.3271i −0.142272 + 0.390888i
\(699\) 1.40546 + 7.97074i 0.0531593 + 0.301481i
\(700\) 36.4707 30.6026i 1.37846 1.15667i
\(701\) 2.94056 3.50442i 0.111063 0.132360i −0.707649 0.706564i \(-0.750244\pi\)
0.818712 + 0.574204i \(0.194688\pi\)
\(702\) 13.3765 0.504862
\(703\) −0.813275 + 19.6212i −0.0306733 + 0.740027i
\(704\) 2.11681 0.0797801
\(705\) 13.4607 16.0419i 0.506960 0.604171i
\(706\) −3.33721 + 2.80025i −0.125598 + 0.105389i
\(707\) 10.4099 + 59.0372i 0.391503 + 2.22032i
\(708\) 3.61556 9.93368i 0.135881 0.373330i
\(709\) 4.67695i 0.175647i 0.996136 + 0.0878233i \(0.0279911\pi\)
−0.996136 + 0.0878233i \(0.972009\pi\)
\(710\) −37.1817 13.5330i −1.39540 0.507886i
\(711\) 0.652100 + 0.376490i 0.0244556 + 0.0141195i
\(712\) 1.43623 8.14527i 0.0538251 0.305257i
\(713\) 10.0607 + 17.4257i 0.376777 + 0.652596i
\(714\) −0.0906770 + 0.157057i −0.00339350 + 0.00587771i
\(715\) 19.9417 + 16.7331i 0.745777 + 0.625781i
\(716\) 4.98063 0.878219i 0.186135 0.0328206i
\(717\) −23.1807 + 13.3834i −0.865699 + 0.499812i
\(718\) 2.62899 + 7.22308i 0.0981129 + 0.269563i
\(719\) −43.2845 + 15.7543i −1.61424 + 0.587535i −0.982272 0.187460i \(-0.939974\pi\)
−0.631967 + 0.774995i \(0.717752\pi\)
\(720\) −2.23443 0.393991i −0.0832724 0.0146832i
\(721\) −4.39857 5.24202i −0.163811 0.195223i
\(722\) −5.51317 6.57034i −0.205179 0.244523i
\(723\) 26.3948 + 4.65411i 0.981632 + 0.173088i
\(724\) −0.982399 + 0.357564i −0.0365106 + 0.0132888i
\(725\) −25.8490 71.0196i −0.960009 2.63760i
\(726\) 10.6105 6.12598i 0.393793 0.227357i
\(727\) −42.9014 + 7.56467i −1.59112 + 0.280558i −0.897912 0.440175i \(-0.854916\pi\)
−0.693213 + 0.720733i \(0.743805\pi\)
\(728\) 7.97865 + 6.69488i 0.295708 + 0.248129i
\(729\) −10.3316 + 17.8948i −0.382651 + 0.662770i
\(730\) 34.6902 + 60.0852i 1.28394 + 2.22385i
\(731\) 0.0256924 0.145709i 0.000950269 0.00538924i
\(732\) 9.34382 + 5.39466i 0.345357 + 0.199392i
\(733\) 26.1238 + 9.50828i 0.964904 + 0.351196i 0.775953 0.630790i \(-0.217269\pi\)
0.188950 + 0.981987i \(0.439491\pi\)
\(734\) 20.7176i 0.764702i
\(735\) −16.5620 + 45.5038i −0.610900 + 1.67843i
\(736\) 0.516159 + 2.92728i 0.0190259 + 0.107901i
\(737\) −11.2236 + 9.41775i −0.413428 + 0.346907i
\(738\) 0.510131 0.607950i 0.0187782 0.0223790i
\(739\) 26.4463 0.972843 0.486421 0.873724i \(-0.338302\pi\)
0.486421 + 0.873724i \(0.338302\pi\)
\(740\) −15.8353 20.5429i −0.582117 0.755171i
\(741\) −17.4988 −0.642835
\(742\) 4.43158 5.28135i 0.162688 0.193884i
\(743\) 31.0557 26.0589i 1.13932 0.956007i 0.139908 0.990165i \(-0.455319\pi\)
0.999416 + 0.0341578i \(0.0108749\pi\)
\(744\) −2.20918 12.5289i −0.0809925 0.459331i
\(745\) 11.2849 31.0051i 0.413447 1.13594i
\(746\) 15.6066i 0.571397i
\(747\) 0.848209 + 0.308723i 0.0310343 + 0.0112956i
\(748\) −0.0489827 0.0282802i −0.00179098 0.00103403i
\(749\) 0.239720 1.35952i 0.00875919 0.0496759i
\(750\) −32.7887 56.7916i −1.19727 2.07374i
\(751\) −5.14164 + 8.90559i −0.187621 + 0.324969i −0.944457 0.328636i \(-0.893411\pi\)
0.756835 + 0.653605i \(0.226744\pi\)
\(752\) 2.00174 + 1.67966i 0.0729959 + 0.0612509i
\(753\) 45.7296 8.06336i 1.66648 0.293845i
\(754\) 14.3189 8.26700i 0.521462 0.301066i
\(755\) −18.4291 50.6336i −0.670704 1.84274i
\(756\) −15.7402 + 5.72898i −0.572467 + 0.208361i
\(757\) −34.9139 6.15626i −1.26897 0.223753i −0.501678 0.865054i \(-0.667284\pi\)
−0.767289 + 0.641301i \(0.778395\pi\)
\(758\) 16.1834 + 19.2866i 0.587808 + 0.700522i
\(759\) −7.60112 9.05867i −0.275903 0.328809i
\(760\) −13.5575 2.39055i −0.491782 0.0867145i
\(761\) −4.68947 + 1.70683i −0.169993 + 0.0618725i −0.425615 0.904904i \(-0.639942\pi\)
0.255622 + 0.966777i \(0.417720\pi\)
\(762\) −10.3581 28.4587i −0.375236 1.03095i
\(763\) 3.01996 1.74357i 0.109330 0.0631216i
\(764\) −13.2588 + 2.33788i −0.479687 + 0.0845817i
\(765\) 0.0464409 + 0.0389686i 0.00167907 + 0.00140891i
\(766\) −15.1068 + 26.1657i −0.545829 + 0.945404i
\(767\) 8.11099 + 14.0486i 0.292871 + 0.507267i
\(768\) 0.326352 1.85083i 0.0117762 0.0667862i
\(769\) −30.5000 17.6092i −1.09986 0.635004i −0.163675 0.986514i \(-0.552335\pi\)
−0.936184 + 0.351511i \(0.885668\pi\)
\(770\) −30.6322 11.1492i −1.10391 0.401789i