Properties

Label 64.2.i.a.21.3
Level $64$
Weight $2$
Character 64.21
Analytic conductor $0.511$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 64 = 2^{6} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 64.i (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.511042572936\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(7\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 21.3
Character \(\chi\) \(=\) 64.21
Dual form 64.2.i.a.61.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.887839 - 1.10079i) q^{2} +(-0.435353 - 2.18867i) q^{3} +(-0.423482 + 1.95465i) q^{4} +(0.649649 - 0.434082i) q^{5} +(-2.02274 + 2.42242i) q^{6} +(-3.64486 - 1.50975i) q^{7} +(2.52765 - 1.26925i) q^{8} +(-1.82909 + 0.757635i) q^{9} +O(q^{10})\) \(q+(-0.887839 - 1.10079i) q^{2} +(-0.435353 - 2.18867i) q^{3} +(-0.423482 + 1.95465i) q^{4} +(0.649649 - 0.434082i) q^{5} +(-2.02274 + 2.42242i) q^{6} +(-3.64486 - 1.50975i) q^{7} +(2.52765 - 1.26925i) q^{8} +(-1.82909 + 0.757635i) q^{9} +(-1.05462 - 0.329733i) q^{10} +(5.80194 + 1.15408i) q^{11} +(4.46245 + 0.0758981i) q^{12} +(2.03484 + 1.35963i) q^{13} +(1.57413 + 5.35264i) q^{14} +(-1.23289 - 1.23289i) q^{15} +(-3.64133 - 1.65552i) q^{16} +(0.960477 - 0.960477i) q^{17} +(2.45794 + 1.34079i) q^{18} +(0.435978 - 0.652487i) q^{19} +(0.573364 + 1.45366i) q^{20} +(-1.71754 + 8.63465i) q^{21} +(-3.88079 - 7.41136i) q^{22} +(0.421603 + 1.01784i) q^{23} +(-3.87839 - 4.97961i) q^{24} +(-1.67980 + 4.05540i) q^{25} +(-0.309935 - 3.44707i) q^{26} +(-1.26483 - 1.89295i) q^{27} +(4.49456 - 6.48507i) q^{28} +(-1.43977 + 0.286388i) q^{29} +(-0.262545 + 2.45176i) q^{30} +6.88004i q^{31} +(1.41053 + 5.47818i) q^{32} -13.2009i q^{33} +(-1.91003 - 0.204535i) q^{34} +(-3.02323 + 0.601358i) q^{35} +(-0.706324 - 3.89608i) q^{36} +(-1.07856 - 1.61417i) q^{37} +(-1.10533 + 0.0993831i) q^{38} +(2.08991 - 5.04550i) q^{39} +(1.09113 - 1.92177i) q^{40} +(-2.79324 - 6.74347i) q^{41} +(11.0298 - 5.77553i) q^{42} +(-1.20307 + 6.04824i) q^{43} +(-4.71284 + 10.8520i) q^{44} +(-0.859393 + 1.28617i) q^{45} +(0.746114 - 1.36778i) q^{46} +(-6.30014 + 6.30014i) q^{47} +(-2.03812 + 8.69038i) q^{48} +(6.05588 + 6.05588i) q^{49} +(5.95554 - 1.75143i) q^{50} +(-2.52031 - 1.68402i) q^{51} +(-3.51933 + 3.40161i) q^{52} +(10.2655 + 2.04194i) q^{53} +(-0.960779 + 3.07295i) q^{54} +(4.27019 - 1.76877i) q^{55} +(-11.1292 + 0.810126i) q^{56} +(-1.61788 - 0.670148i) q^{57} +(1.59354 + 1.33062i) q^{58} +(4.21278 - 2.81489i) q^{59} +(2.93197 - 1.88776i) q^{60} +(-2.08276 - 10.4707i) q^{61} +(7.57348 - 6.10837i) q^{62} +7.81061 q^{63} +(4.77800 - 6.41644i) q^{64} +1.91212 q^{65} +(-14.5315 + 11.7203i) q^{66} +(1.42195 + 7.14864i) q^{67} +(1.47065 + 2.28414i) q^{68} +(2.04417 - 1.36587i) q^{69} +(3.34611 + 2.79404i) q^{70} +(2.49385 + 1.03299i) q^{71} +(-3.66167 + 4.23661i) q^{72} +(-1.90488 + 0.789026i) q^{73} +(-0.819282 + 2.62039i) q^{74} +(9.60722 + 1.91099i) q^{75} +(1.09076 + 1.12850i) q^{76} +(-19.4049 - 12.9659i) q^{77} +(-7.40955 + 2.17903i) q^{78} +(-6.20432 - 6.20432i) q^{79} +(-3.08422 + 0.505126i) q^{80} +(-7.79217 + 7.79217i) q^{81} +(-4.94320 + 9.06188i) q^{82} +(1.13685 - 1.70141i) q^{83} +(-16.1504 - 7.01381i) q^{84} +(0.207047 - 1.04090i) q^{85} +(7.72599 - 4.04554i) q^{86} +(1.25361 + 3.02649i) q^{87} +(16.1301 - 4.44702i) q^{88} +(1.15743 - 2.79429i) q^{89} +(2.17881 - 0.195902i) q^{90} +(-5.36398 - 8.02776i) q^{91} +(-2.16806 + 0.393050i) q^{92} +(15.0581 - 2.99524i) q^{93} +(12.5287 + 1.34163i) q^{94} -0.613137i q^{95} +(11.3758 - 5.47212i) q^{96} +13.1193i q^{97} +(1.28961 - 12.0429i) q^{98} +(-11.4867 + 2.28484i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{2} - 8q^{3} - 8q^{4} - 8q^{5} - 8q^{6} - 8q^{7} - 8q^{8} - 8q^{9} + O(q^{10}) \) \( 56q - 8q^{2} - 8q^{3} - 8q^{4} - 8q^{5} - 8q^{6} - 8q^{7} - 8q^{8} - 8q^{9} - 8q^{10} - 8q^{11} - 8q^{12} - 8q^{13} - 8q^{14} - 8q^{15} - 8q^{16} - 8q^{17} - 8q^{18} - 8q^{19} - 8q^{20} - 8q^{21} - 8q^{23} + 32q^{24} - 8q^{25} + 32q^{26} - 8q^{27} + 32q^{28} - 8q^{29} + 72q^{30} + 32q^{32} + 32q^{34} - 8q^{35} + 72q^{36} - 8q^{37} + 32q^{38} - 8q^{39} + 32q^{40} - 8q^{41} + 32q^{42} - 8q^{43} - 8q^{45} - 8q^{46} - 8q^{47} - 8q^{48} - 8q^{49} - 32q^{50} + 24q^{51} - 56q^{52} - 8q^{53} - 72q^{54} + 56q^{55} - 64q^{56} - 8q^{57} - 80q^{58} + 56q^{59} - 104q^{60} - 8q^{61} - 40q^{62} + 64q^{63} - 104q^{64} - 16q^{65} - 88q^{66} + 72q^{67} - 56q^{68} - 8q^{69} - 104q^{70} + 56q^{71} - 80q^{72} - 8q^{73} - 64q^{74} + 56q^{75} - 72q^{76} - 8q^{77} - 32q^{78} + 24q^{79} + 32q^{80} - 8q^{81} + 72q^{82} - 8q^{83} + 104q^{84} - 8q^{85} + 96q^{86} - 8q^{87} + 72q^{88} - 8q^{89} + 136q^{90} - 8q^{91} + 144q^{92} + 16q^{93} + 88q^{94} + 128q^{96} + 128q^{98} + 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/64\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(63\)
\(\chi(n)\) \(e\left(\frac{13}{16}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.887839 1.10079i −0.627797 0.778377i
\(3\) −0.435353 2.18867i −0.251351 1.26363i −0.875843 0.482596i \(-0.839694\pi\)
0.624492 0.781031i \(-0.285306\pi\)
\(4\) −0.423482 + 1.95465i −0.211741 + 0.977326i
\(5\) 0.649649 0.434082i 0.290532 0.194127i −0.401760 0.915745i \(-0.631601\pi\)
0.692292 + 0.721618i \(0.256601\pi\)
\(6\) −2.02274 + 2.42242i −0.825781 + 0.988948i
\(7\) −3.64486 1.50975i −1.37763 0.570631i −0.433780 0.901019i \(-0.642821\pi\)
−0.943845 + 0.330387i \(0.892821\pi\)
\(8\) 2.52765 1.26925i 0.893658 0.448748i
\(9\) −1.82909 + 0.757635i −0.609697 + 0.252545i
\(10\) −1.05462 0.329733i −0.333499 0.104271i
\(11\) 5.80194 + 1.15408i 1.74935 + 0.347968i 0.962936 0.269730i \(-0.0869346\pi\)
0.786415 + 0.617698i \(0.211935\pi\)
\(12\) 4.46245 + 0.0758981i 1.28820 + 0.0219099i
\(13\) 2.03484 + 1.35963i 0.564362 + 0.377095i 0.804779 0.593575i \(-0.202284\pi\)
−0.240417 + 0.970670i \(0.577284\pi\)
\(14\) 1.57413 + 5.35264i 0.420704 + 1.43055i
\(15\) −1.23289 1.23289i −0.318330 0.318330i
\(16\) −3.64133 1.65552i −0.910331 0.413880i
\(17\) 0.960477 0.960477i 0.232950 0.232950i −0.580973 0.813923i \(-0.697328\pi\)
0.813923 + 0.580973i \(0.197328\pi\)
\(18\) 2.45794 + 1.34079i 0.579341 + 0.316027i
\(19\) 0.435978 0.652487i 0.100020 0.149691i −0.778084 0.628160i \(-0.783808\pi\)
0.878104 + 0.478469i \(0.158808\pi\)
\(20\) 0.573364 + 1.45366i 0.128208 + 0.325049i
\(21\) −1.71754 + 8.63465i −0.374798 + 1.88423i
\(22\) −3.88079 7.41136i −0.827388 1.58011i
\(23\) 0.421603 + 1.01784i 0.0879104 + 0.212234i 0.961720 0.274033i \(-0.0883579\pi\)
−0.873810 + 0.486268i \(0.838358\pi\)
\(24\) −3.87839 4.97961i −0.791672 1.01646i
\(25\) −1.67980 + 4.05540i −0.335960 + 0.811079i
\(26\) −0.309935 3.44707i −0.0607832 0.676025i
\(27\) −1.26483 1.89295i −0.243417 0.364299i
\(28\) 4.49456 6.48507i 0.849393 1.22556i
\(29\) −1.43977 + 0.286388i −0.267358 + 0.0531809i −0.326949 0.945042i \(-0.606020\pi\)
0.0595906 + 0.998223i \(0.481020\pi\)
\(30\) −0.262545 + 2.45176i −0.0479340 + 0.447627i
\(31\) 6.88004i 1.23569i 0.786300 + 0.617845i \(0.211994\pi\)
−0.786300 + 0.617845i \(0.788006\pi\)
\(32\) 1.41053 + 5.47818i 0.249349 + 0.968414i
\(33\) 13.2009i 2.29799i
\(34\) −1.91003 0.204535i −0.327568 0.0350775i
\(35\) −3.02323 + 0.601358i −0.511019 + 0.101648i
\(36\) −0.706324 3.89608i −0.117721 0.649347i
\(37\) −1.07856 1.61417i −0.177313 0.265368i 0.732158 0.681135i \(-0.238513\pi\)
−0.909471 + 0.415767i \(0.863513\pi\)
\(38\) −1.10533 + 0.0993831i −0.179308 + 0.0161221i
\(39\) 2.08991 5.04550i 0.334654 0.807926i
\(40\) 1.09113 1.92177i 0.172522 0.303859i
\(41\) −2.79324 6.74347i −0.436230 1.05315i −0.977240 0.212136i \(-0.931958\pi\)
0.541010 0.841016i \(-0.318042\pi\)
\(42\) 11.0298 5.77553i 1.70194 0.891184i
\(43\) −1.20307 + 6.04824i −0.183467 + 0.922349i 0.773864 + 0.633352i \(0.218322\pi\)
−0.957330 + 0.288996i \(0.906678\pi\)
\(44\) −4.71284 + 10.8520i −0.710487 + 1.63601i
\(45\) −0.859393 + 1.28617i −0.128111 + 0.191731i
\(46\) 0.746114 1.36778i 0.110008 0.201668i
\(47\) −6.30014 + 6.30014i −0.918970 + 0.918970i −0.996955 0.0779845i \(-0.975152\pi\)
0.0779845 + 0.996955i \(0.475152\pi\)
\(48\) −2.03812 + 8.69038i −0.294177 + 1.25435i
\(49\) 6.05588 + 6.05588i 0.865126 + 0.865126i
\(50\) 5.95554 1.75143i 0.842240 0.247690i
\(51\) −2.52031 1.68402i −0.352914 0.235810i
\(52\) −3.51933 + 3.40161i −0.488043 + 0.471719i
\(53\) 10.2655 + 2.04194i 1.41008 + 0.280482i 0.840660 0.541564i \(-0.182168\pi\)
0.569421 + 0.822046i \(0.307168\pi\)
\(54\) −0.960779 + 3.07295i −0.130745 + 0.418176i
\(55\) 4.27019 1.76877i 0.575792 0.238501i
\(56\) −11.1292 + 0.810126i −1.48720 + 0.108258i
\(57\) −1.61788 0.670148i −0.214293 0.0887632i
\(58\) 1.59354 + 1.33062i 0.209242 + 0.174719i
\(59\) 4.21278 2.81489i 0.548458 0.366468i −0.250255 0.968180i \(-0.580515\pi\)
0.798713 + 0.601712i \(0.205515\pi\)
\(60\) 2.93197 1.88776i 0.378516 0.243709i
\(61\) −2.08276 10.4707i −0.266670 1.34064i −0.849303 0.527906i \(-0.822977\pi\)
0.582633 0.812736i \(-0.302023\pi\)
\(62\) 7.57348 6.10837i 0.961833 0.775763i
\(63\) 7.81061 0.984045
\(64\) 4.77800 6.41644i 0.597250 0.802055i
\(65\) 1.91212 0.237169
\(66\) −14.5315 + 11.7203i −1.78870 + 1.44267i
\(67\) 1.42195 + 7.14864i 0.173719 + 0.873345i 0.965072 + 0.261985i \(0.0843771\pi\)
−0.791353 + 0.611360i \(0.790623\pi\)
\(68\) 1.47065 + 2.28414i 0.178343 + 0.276993i
\(69\) 2.04417 1.36587i 0.246089 0.164431i
\(70\) 3.34611 + 2.79404i 0.399937 + 0.333951i
\(71\) 2.49385 + 1.03299i 0.295965 + 0.122593i 0.525725 0.850655i \(-0.323794\pi\)
−0.229760 + 0.973247i \(0.573794\pi\)
\(72\) −3.66167 + 4.23661i −0.431532 + 0.499289i
\(73\) −1.90488 + 0.789026i −0.222949 + 0.0923485i −0.491362 0.870955i \(-0.663501\pi\)
0.268413 + 0.963304i \(0.413501\pi\)
\(74\) −0.819282 + 2.62039i −0.0952396 + 0.304614i
\(75\) 9.60722 + 1.91099i 1.10935 + 0.220663i
\(76\) 1.09076 + 1.12850i 0.125118 + 0.129448i
\(77\) −19.4049 12.9659i −2.21139 1.47760i
\(78\) −7.40955 + 2.17903i −0.838966 + 0.246727i
\(79\) −6.20432 6.20432i −0.698040 0.698040i 0.265947 0.963988i \(-0.414315\pi\)
−0.963988 + 0.265947i \(0.914315\pi\)
\(80\) −3.08422 + 0.505126i −0.344826 + 0.0564748i
\(81\) −7.79217 + 7.79217i −0.865797 + 0.865797i
\(82\) −4.94320 + 9.06188i −0.545885 + 1.00072i
\(83\) 1.13685 1.70141i 0.124785 0.186755i −0.763817 0.645433i \(-0.776677\pi\)
0.888602 + 0.458678i \(0.151677\pi\)
\(84\) −16.1504 7.01381i −1.76215 0.765269i
\(85\) 0.207047 1.04090i 0.0224575 0.112901i
\(86\) 7.72599 4.04554i 0.833115 0.436242i
\(87\) 1.25361 + 3.02649i 0.134402 + 0.324474i
\(88\) 16.1301 4.44702i 1.71947 0.474054i
\(89\) 1.15743 2.79429i 0.122688 0.296194i −0.850589 0.525832i \(-0.823754\pi\)
0.973276 + 0.229638i \(0.0737541\pi\)
\(90\) 2.17881 0.195902i 0.229667 0.0206499i
\(91\) −5.36398 8.02776i −0.562298 0.841538i
\(92\) −2.16806 + 0.393050i −0.226036 + 0.0409783i
\(93\) 15.0581 2.99524i 1.56145 0.310592i
\(94\) 12.5287 + 1.34163i 1.29223 + 0.138378i
\(95\) 0.613137i 0.0629066i
\(96\) 11.3758 5.47212i 1.16104 0.558496i
\(97\) 13.1193i 1.33207i 0.745922 + 0.666034i \(0.232009\pi\)
−0.745922 + 0.666034i \(0.767991\pi\)
\(98\) 1.28961 12.0429i 0.130270 1.21652i
\(99\) −11.4867 + 2.28484i −1.15445 + 0.229635i
\(100\) −7.21552 5.00081i −0.721552 0.500081i
\(101\) −2.49376 3.73217i −0.248138 0.371365i 0.686402 0.727222i \(-0.259189\pi\)
−0.934540 + 0.355857i \(0.884189\pi\)
\(102\) 0.383879 + 4.26947i 0.0380097 + 0.422741i
\(103\) 4.09230 9.87970i 0.403227 0.973476i −0.583651 0.812005i \(-0.698376\pi\)
0.986878 0.161471i \(-0.0516237\pi\)
\(104\) 6.86906 + 0.853956i 0.673567 + 0.0837373i
\(105\) 2.63235 + 6.35504i 0.256891 + 0.620189i
\(106\) −6.86640 13.1131i −0.666924 1.27366i
\(107\) 0.745466 3.74771i 0.0720669 0.362305i −0.927877 0.372886i \(-0.878368\pi\)
0.999944 + 0.0105812i \(0.00336817\pi\)
\(108\) 4.23570 1.67067i 0.407580 0.160760i
\(109\) −5.47688 + 8.19674i −0.524590 + 0.785105i −0.995265 0.0972021i \(-0.969011\pi\)
0.470674 + 0.882307i \(0.344011\pi\)
\(110\) −5.73829 3.13020i −0.547125 0.298453i
\(111\) −3.06333 + 3.06333i −0.290759 + 0.290759i
\(112\) 10.7727 + 11.5316i 1.01792 + 1.08964i
\(113\) −3.26239 3.26239i −0.306900 0.306900i 0.536806 0.843706i \(-0.319631\pi\)
−0.843706 + 0.536806i \(0.819631\pi\)
\(114\) 0.698725 + 2.37593i 0.0654416 + 0.222526i
\(115\) 0.715720 + 0.478229i 0.0667412 + 0.0445951i
\(116\) 0.0499280 2.93552i 0.00463569 0.272557i
\(117\) −4.75201 0.945233i −0.439323 0.0873868i
\(118\) −6.83888 2.13822i −0.629570 0.196839i
\(119\) −4.95088 + 2.05072i −0.453846 + 0.187989i
\(120\) −4.68115 1.55146i −0.427328 0.141628i
\(121\) 22.1680 + 9.18227i 2.01527 + 0.834752i
\(122\) −9.67695 + 11.5890i −0.876109 + 1.04922i
\(123\) −13.5432 + 9.04925i −1.22115 + 0.815943i
\(124\) −13.4481 2.91357i −1.20767 0.261646i
\(125\) 1.43124 + 7.19532i 0.128014 + 0.643569i
\(126\) −6.93457 8.59785i −0.617781 0.765958i
\(127\) 6.57619 0.583543 0.291771 0.956488i \(-0.405755\pi\)
0.291771 + 0.956488i \(0.405755\pi\)
\(128\) −11.3053 + 0.437187i −0.999253 + 0.0386422i
\(129\) 13.7614 1.21162
\(130\) −1.69766 2.10485i −0.148894 0.184607i
\(131\) 0.948444 + 4.76815i 0.0828659 + 0.416595i 0.999844 + 0.0176578i \(0.00562093\pi\)
−0.916978 + 0.398937i \(0.869379\pi\)
\(132\) 25.8033 + 5.59037i 2.24589 + 0.486579i
\(133\) −2.57417 + 1.72000i −0.223209 + 0.149143i
\(134\) 6.60669 7.91211i 0.570731 0.683502i
\(135\) −1.64339 0.680715i −0.141441 0.0585866i
\(136\) 1.20866 3.64683i 0.103642 0.312713i
\(137\) −19.4588 + 8.06010i −1.66248 + 0.688621i −0.998263 0.0589215i \(-0.981234\pi\)
−0.664214 + 0.747542i \(0.731234\pi\)
\(138\) −3.31843 1.03753i −0.282483 0.0883203i
\(139\) −18.8196 3.74344i −1.59625 0.317515i −0.684741 0.728786i \(-0.740085\pi\)
−0.911513 + 0.411272i \(0.865085\pi\)
\(140\) 0.104839 6.16403i 0.00886051 0.520956i
\(141\) 16.5317 + 11.0461i 1.39222 + 0.930252i
\(142\) −1.07704 3.66233i −0.0903828 0.307336i
\(143\) 10.2369 + 10.2369i 0.856050 + 0.856050i
\(144\) 7.91460 + 0.269304i 0.659550 + 0.0224420i
\(145\) −0.811028 + 0.811028i −0.0673522 + 0.0673522i
\(146\) 2.55978 + 1.39634i 0.211849 + 0.115562i
\(147\) 10.6179 15.8908i 0.875747 1.31065i
\(148\) 3.61189 1.42463i 0.296896 0.117104i
\(149\) 0.183778 0.923914i 0.0150557 0.0756900i −0.972527 0.232790i \(-0.925215\pi\)
0.987583 + 0.157100i \(0.0502145\pi\)
\(150\) −6.42606 12.2722i −0.524686 1.00202i
\(151\) 4.16374 + 10.0522i 0.338841 + 0.818034i 0.997828 + 0.0658792i \(0.0209852\pi\)
−0.658987 + 0.752154i \(0.729015\pi\)
\(152\) 0.273828 2.20262i 0.0222104 0.178656i
\(153\) −1.02911 + 2.48449i −0.0831986 + 0.200859i
\(154\) 2.95564 + 32.8724i 0.238172 + 2.64893i
\(155\) 2.98650 + 4.46961i 0.239881 + 0.359008i
\(156\) 8.97715 + 6.22173i 0.718747 + 0.498137i
\(157\) 2.16776 0.431195i 0.173006 0.0344131i −0.107827 0.994170i \(-0.534389\pi\)
0.280833 + 0.959757i \(0.409389\pi\)
\(158\) −1.32122 + 12.3381i −0.105111 + 0.981567i
\(159\) 23.3568i 1.85232i
\(160\) 3.29433 + 2.94661i 0.260439 + 0.232950i
\(161\) 4.34640i 0.342544i
\(162\) 15.4958 + 1.65936i 1.21746 + 0.130371i
\(163\) −10.1978 + 2.02847i −0.798753 + 0.158882i −0.577560 0.816348i \(-0.695995\pi\)
−0.221193 + 0.975230i \(0.570995\pi\)
\(164\) 14.3640 2.60406i 1.12164 0.203343i
\(165\) −5.73029 8.57598i −0.446102 0.667640i
\(166\) −2.88224 + 0.259150i −0.223705 + 0.0201139i
\(167\) 5.67541 13.7016i 0.439176 1.06027i −0.537058 0.843546i \(-0.680464\pi\)
0.976234 0.216720i \(-0.0695358\pi\)
\(168\) 6.61821 + 24.0053i 0.510606 + 1.85205i
\(169\) −2.68293 6.47717i −0.206379 0.498244i
\(170\) −1.32964 + 0.696234i −0.101978 + 0.0533987i
\(171\) −0.303097 + 1.52377i −0.0231784 + 0.116526i
\(172\) −11.3127 4.91291i −0.862588 0.374606i
\(173\) 2.81628 4.21486i 0.214118 0.320450i −0.708827 0.705382i \(-0.750775\pi\)
0.922945 + 0.384933i \(0.125775\pi\)
\(174\) 2.21853 4.06701i 0.168186 0.308319i
\(175\) 12.2453 12.2453i 0.925654 0.925654i
\(176\) −19.2162 13.8076i −1.44847 1.04079i
\(177\) −7.99491 7.99491i −0.600934 0.600934i
\(178\) −4.10354 + 1.20679i −0.307574 + 0.0904526i
\(179\) 2.53753 + 1.69552i 0.189664 + 0.126729i 0.646777 0.762679i \(-0.276117\pi\)
−0.457113 + 0.889409i \(0.651117\pi\)
\(180\) −2.15008 2.22448i −0.160258 0.165803i
\(181\) −6.51424 1.29576i −0.484200 0.0963133i −0.0530464 0.998592i \(-0.516893\pi\)
−0.431153 + 0.902279i \(0.641893\pi\)
\(182\) −4.07454 + 13.0320i −0.302025 + 0.965995i
\(183\) −22.0102 + 9.11694i −1.62704 + 0.673943i
\(184\) 2.35756 + 2.03762i 0.173802 + 0.150215i
\(185\) −1.40136 0.580464i −0.103030 0.0426766i
\(186\) −16.6663 13.9165i −1.22203 1.02041i
\(187\) 6.68109 4.46416i 0.488570 0.326452i
\(188\) −9.64658 14.9826i −0.703549 1.09272i
\(189\) 1.75224 + 8.80912i 0.127457 + 0.640769i
\(190\) −0.674936 + 0.544367i −0.0489650 + 0.0394926i
\(191\) −1.58154 −0.114436 −0.0572181 0.998362i \(-0.518223\pi\)
−0.0572181 + 0.998362i \(0.518223\pi\)
\(192\) −16.1236 7.66404i −1.16362 0.553104i
\(193\) −16.3932 −1.18001 −0.590004 0.807401i \(-0.700874\pi\)
−0.590004 + 0.807401i \(0.700874\pi\)
\(194\) 14.4417 11.6479i 1.03685 0.836269i
\(195\) −0.832448 4.18500i −0.0596128 0.299694i
\(196\) −14.4017 + 9.27258i −1.02869 + 0.662327i
\(197\) −2.24425 + 1.49956i −0.159896 + 0.106839i −0.632944 0.774197i \(-0.718154\pi\)
0.473048 + 0.881037i \(0.343154\pi\)
\(198\) 12.7134 + 10.6158i 0.903504 + 0.754435i
\(199\) 12.1675 + 5.03992i 0.862528 + 0.357271i 0.769696 0.638411i \(-0.220408\pi\)
0.0928322 + 0.995682i \(0.470408\pi\)
\(200\) 0.901375 + 12.3827i 0.0637369 + 0.875589i
\(201\) 15.0269 6.22436i 1.05992 0.439032i
\(202\) −1.89428 + 6.05867i −0.133281 + 0.426287i
\(203\) 5.68012 + 1.12985i 0.398666 + 0.0792996i
\(204\) 4.35897 4.21318i 0.305189 0.294981i
\(205\) −4.74184 3.16839i −0.331184 0.221290i
\(206\) −14.5088 + 4.26681i −1.01088 + 0.297283i
\(207\) −1.54230 1.54230i −0.107197 0.107197i
\(208\) −5.15860 8.31958i −0.357684 0.576859i
\(209\) 3.28254 3.28254i 0.227058 0.227058i
\(210\) 4.65848 8.53992i 0.321465 0.589311i
\(211\) 3.81684 5.71230i 0.262762 0.393251i −0.676505 0.736438i \(-0.736506\pi\)
0.939267 + 0.343187i \(0.111506\pi\)
\(212\) −8.33856 + 19.2008i −0.572695 + 1.31872i
\(213\) 1.17516 5.90791i 0.0805205 0.404804i
\(214\) −4.78730 + 2.50676i −0.327253 + 0.171359i
\(215\) 1.84386 + 4.45147i 0.125750 + 0.303588i
\(216\) −5.59968 3.17933i −0.381010 0.216326i
\(217\) 10.3871 25.0767i 0.705124 1.70232i
\(218\) 13.8855 1.24848i 0.940444 0.0845578i
\(219\) 2.55621 + 3.82564i 0.172733 + 0.258512i
\(220\) 1.64898 + 9.09578i 0.111174 + 0.613237i
\(221\) 3.26031 0.648516i 0.219312 0.0436239i
\(222\) 6.09184 + 0.652342i 0.408857 + 0.0437823i
\(223\) 3.88311i 0.260032i −0.991512 0.130016i \(-0.958497\pi\)
0.991512 0.130016i \(-0.0415029\pi\)
\(224\) 3.12949 22.0967i 0.209098 1.47640i
\(225\) 8.69037i 0.579358i
\(226\) −0.694732 + 6.48769i −0.0462129 + 0.431555i
\(227\) 22.5337 4.48224i 1.49562 0.297497i 0.621577 0.783353i \(-0.286492\pi\)
0.874039 + 0.485856i \(0.161492\pi\)
\(228\) 1.99505 2.87860i 0.132125 0.190640i
\(229\) −3.41606 5.11250i −0.225740 0.337844i 0.701260 0.712906i \(-0.252621\pi\)
−0.927000 + 0.375062i \(0.877621\pi\)
\(230\) −0.109014 1.21245i −0.00718820 0.0799465i
\(231\) −19.9301 + 48.1156i −1.31131 + 3.16577i
\(232\) −3.27573 + 2.55131i −0.215062 + 0.167502i
\(233\) 0.733834 + 1.77163i 0.0480751 + 0.116064i 0.946093 0.323896i \(-0.104993\pi\)
−0.898018 + 0.439960i \(0.854993\pi\)
\(234\) 3.17852 + 6.07018i 0.207786 + 0.396820i
\(235\) −1.35811 + 6.82766i −0.0885930 + 0.445387i
\(236\) 3.71809 + 9.42658i 0.242027 + 0.613618i
\(237\) −10.8781 + 16.2803i −0.706610 + 1.05752i
\(238\) 6.65300 + 3.62917i 0.431250 + 0.235244i
\(239\) −6.09870 + 6.09870i −0.394492 + 0.394492i −0.876285 0.481793i \(-0.839986\pi\)
0.481793 + 0.876285i \(0.339986\pi\)
\(240\) 2.44827 + 6.53041i 0.158035 + 0.421536i
\(241\) 5.21549 + 5.21549i 0.335959 + 0.335959i 0.854844 0.518885i \(-0.173653\pi\)
−0.518885 + 0.854844i \(0.673653\pi\)
\(242\) −9.57383 32.5547i −0.615429 2.09269i
\(243\) 14.7680 + 9.86763i 0.947365 + 0.633009i
\(244\) 21.3487 + 0.363102i 1.36671 + 0.0232452i
\(245\) 6.56295 + 1.30545i 0.419291 + 0.0834022i
\(246\) 21.9855 + 6.87391i 1.40174 + 0.438264i
\(247\) 1.77429 0.734933i 0.112895 0.0467627i
\(248\) 8.73249 + 17.3903i 0.554514 + 1.10429i
\(249\) −4.21876 1.74747i −0.267353 0.110741i
\(250\) 6.64984 7.96379i 0.420573 0.503674i
\(251\) 3.73150 2.49331i 0.235530 0.157376i −0.432204 0.901776i \(-0.642264\pi\)
0.667735 + 0.744399i \(0.267264\pi\)
\(252\) −3.30766 + 15.2670i −0.208363 + 0.961732i
\(253\) 1.27145 + 6.39201i 0.0799354 + 0.401862i
\(254\) −5.83860 7.23901i −0.366347 0.454216i
\(255\) −2.36832 −0.148310
\(256\) 10.5185 + 12.0566i 0.657407 + 0.753536i
\(257\) −5.86891 −0.366092 −0.183046 0.983104i \(-0.558596\pi\)
−0.183046 + 0.983104i \(0.558596\pi\)
\(258\) −12.2179 15.1484i −0.760651 0.943096i
\(259\) 1.49418 + 7.51177i 0.0928441 + 0.466759i
\(260\) −0.809749 + 3.73753i −0.0502185 + 0.231792i
\(261\) 2.41649 1.61465i 0.149577 0.0999442i
\(262\) 4.40667 5.27739i 0.272245 0.326038i
\(263\) −27.1667 11.2528i −1.67517 0.693877i −0.676090 0.736819i \(-0.736327\pi\)
−0.999078 + 0.0429417i \(0.986327\pi\)
\(264\) −16.7553 33.3673i −1.03122 2.05362i
\(265\) 7.55537 3.12954i 0.464123 0.192246i
\(266\) 4.17881 + 1.30653i 0.256219 + 0.0801087i
\(267\) −6.61966 1.31673i −0.405117 0.0805827i
\(268\) −14.5753 0.247899i −0.890326 0.0151428i
\(269\) 9.18707 + 6.13860i 0.560145 + 0.374277i 0.803176 0.595741i \(-0.203142\pi\)
−0.243031 + 0.970019i \(0.578142\pi\)
\(270\) 0.709743 + 2.41340i 0.0431936 + 0.146875i
\(271\) −17.2217 17.2217i −1.04614 1.04614i −0.998883 0.0472600i \(-0.984951\pi\)
−0.0472600 0.998883i \(-0.515049\pi\)
\(272\) −5.08750 + 1.90732i −0.308475 + 0.115648i
\(273\) −15.2349 + 15.2349i −0.922056 + 0.922056i
\(274\) 26.1488 + 14.2640i 1.57970 + 0.861720i
\(275\) −14.4263 + 21.5906i −0.869941 + 1.30196i
\(276\) 1.80413 + 4.57406i 0.108596 + 0.275326i
\(277\) 5.36979 26.9957i 0.322639 1.62202i −0.390228 0.920718i \(-0.627604\pi\)
0.712868 0.701299i \(-0.247396\pi\)
\(278\) 12.5880 + 24.0400i 0.754978 + 1.44182i
\(279\) −5.21255 12.5842i −0.312067 0.753397i
\(280\) −6.87839 + 5.35726i −0.411062 + 0.320158i
\(281\) −6.20216 + 14.9733i −0.369990 + 0.893234i 0.623762 + 0.781615i \(0.285604\pi\)
−0.993751 + 0.111619i \(0.964396\pi\)
\(282\) −2.51801 28.0051i −0.149946 1.66768i
\(283\) −4.95606 7.41727i −0.294607 0.440911i 0.654408 0.756142i \(-0.272918\pi\)
−0.949015 + 0.315231i \(0.897918\pi\)
\(284\) −3.07523 + 4.43715i −0.182481 + 0.263297i
\(285\) −1.34195 + 0.266931i −0.0794904 + 0.0158116i
\(286\) 2.17996 20.3574i 0.128904 1.20376i
\(287\) 28.7960i 1.69978i
\(288\) −6.73044 8.95142i −0.396595 0.527467i
\(289\) 15.1550i 0.891469i
\(290\) 1.61284 + 0.172710i 0.0947090 + 0.0101419i
\(291\) 28.7139 5.71155i 1.68324 0.334817i
\(292\) −0.735589 4.05751i −0.0430471 0.237448i
\(293\) 13.5525 + 20.2828i 0.791747 + 1.18493i 0.979247 + 0.202669i \(0.0649615\pi\)
−0.187500 + 0.982265i \(0.560039\pi\)
\(294\) −26.9194 + 2.42039i −1.56997 + 0.141160i
\(295\) 1.51494 3.65738i 0.0882031 0.212941i
\(296\) −4.77500 2.71110i −0.277541 0.157579i
\(297\) −5.15386 12.4425i −0.299057 0.721988i
\(298\) −1.18020 + 0.617986i −0.0683673 + 0.0357990i
\(299\) −0.525997 + 2.64436i −0.0304192 + 0.152928i
\(300\) −7.80381 + 17.9695i −0.450553 + 1.03747i
\(301\) 13.5163 20.2286i 0.779069 1.16596i
\(302\) 7.36860 13.5081i 0.424015 0.777305i
\(303\) −7.08281 + 7.08281i −0.406897 + 0.406897i
\(304\) −2.66774 + 1.65415i −0.153005 + 0.0948718i
\(305\) −5.89822 5.89822i −0.337731 0.337731i
\(306\) 3.64859 1.07299i 0.208576 0.0613390i
\(307\) 8.15880 + 5.45154i 0.465647 + 0.311136i 0.766169 0.642639i \(-0.222161\pi\)
−0.300521 + 0.953775i \(0.597161\pi\)
\(308\) 33.5615 32.4389i 1.91234 1.84838i
\(309\) −23.4050 4.65554i −1.33146 0.264844i
\(310\) 2.26858 7.25580i 0.128846 0.412102i
\(311\) 28.3647 11.7490i 1.60842 0.666227i 0.615841 0.787870i \(-0.288816\pi\)
0.992574 + 0.121643i \(0.0388163\pi\)
\(312\) −1.12144 15.4059i −0.0634891 0.872185i
\(313\) −22.4586 9.30264i −1.26943 0.525816i −0.356641 0.934242i \(-0.616078\pi\)
−0.912792 + 0.408425i \(0.866078\pi\)
\(314\) −2.39928 2.00342i −0.135399 0.113060i
\(315\) 5.07416 3.39044i 0.285896 0.191030i
\(316\) 14.7547 9.49986i 0.830017 0.534409i
\(317\) 1.29802 + 6.52557i 0.0729039 + 0.366513i 0.999965 0.00839833i \(-0.00267330\pi\)
−0.927061 + 0.374911i \(0.877673\pi\)
\(318\) −25.7110 + 20.7371i −1.44180 + 1.16288i
\(319\) −8.68396 −0.486209
\(320\) 0.318766 6.24248i 0.0178195 0.348965i
\(321\) −8.52703 −0.475933
\(322\) −4.78447 + 3.85890i −0.266628 + 0.215048i
\(323\) −0.207952 1.04544i −0.0115707 0.0581701i
\(324\) −11.9311 18.5308i −0.662841 1.02949i
\(325\) −8.93197 + 5.96815i −0.495457 + 0.331054i
\(326\) 11.2869 + 9.42469i 0.625125 + 0.521985i
\(327\) 20.3243 + 8.41860i 1.12394 + 0.465550i
\(328\) −15.6195 13.4998i −0.862441 0.745401i
\(329\) 32.4747 13.4515i 1.79039 0.741604i
\(330\) −4.35279 + 13.9220i −0.239613 + 0.766378i
\(331\) 3.84304 + 0.764428i 0.211233 + 0.0420168i 0.299572 0.954074i \(-0.403156\pi\)
−0.0883396 + 0.996090i \(0.528156\pi\)
\(332\) 2.84424 + 2.94266i 0.156098 + 0.161500i
\(333\) 3.19573 + 2.13532i 0.175125 + 0.117015i
\(334\) −20.1215 + 5.91742i −1.10100 + 0.323787i
\(335\) 4.02686 + 4.02686i 0.220011 + 0.220011i
\(336\) 20.5489 28.5981i 1.12104 1.56016i
\(337\) 13.8621 13.8621i 0.755119 0.755119i −0.220311 0.975430i \(-0.570707\pi\)
0.975430 + 0.220311i \(0.0707072\pi\)
\(338\) −4.74800 + 8.70404i −0.258257 + 0.473437i
\(339\) −5.72000 + 8.56058i −0.310668 + 0.464947i
\(340\) 1.94691 + 0.845507i 0.105586 + 0.0458541i
\(341\) −7.94010 + 39.9176i −0.429980 + 2.16166i
\(342\) 1.94645 1.01922i 0.105252 0.0551129i
\(343\) −2.36172 5.70170i −0.127521 0.307863i
\(344\) 4.63580 + 16.8148i 0.249946 + 0.906595i
\(345\) 0.735093 1.77467i 0.0395761 0.0955451i
\(346\) −7.14008 + 0.641984i −0.383853 + 0.0345132i
\(347\) −13.7444 20.5699i −0.737836 1.10425i −0.990609 0.136724i \(-0.956343\pi\)
0.252773 0.967526i \(-0.418657\pi\)
\(348\) −6.44662 + 1.16871i −0.345575 + 0.0626496i
\(349\) −34.6278 + 6.88789i −1.85358 + 0.368700i −0.990628 0.136584i \(-0.956388\pi\)
−0.862953 + 0.505284i \(0.831388\pi\)
\(350\) −24.3513 2.60765i −1.30163 0.139385i
\(351\) 5.57155i 0.297388i
\(352\) 1.86158 + 33.4119i 0.0992224 + 1.78086i
\(353\) 16.3511i 0.870283i −0.900362 0.435141i \(-0.856698\pi\)
0.900362 0.435141i \(-0.143302\pi\)
\(354\) −1.70253 + 15.8989i −0.0904884 + 0.845018i
\(355\) 2.06853 0.411455i 0.109786 0.0218378i
\(356\) 4.97171 + 3.44571i 0.263500 + 0.182622i
\(357\) 6.64372 + 9.94303i 0.351623 + 0.526241i
\(358\) −0.386502 4.29864i −0.0204272 0.227190i
\(359\) −0.837827 + 2.02269i −0.0442188 + 0.106754i −0.944446 0.328667i \(-0.893401\pi\)
0.900227 + 0.435421i \(0.143401\pi\)
\(360\) −0.539766 + 4.34177i −0.0284482 + 0.228832i
\(361\) 7.03532 + 16.9848i 0.370280 + 0.893935i
\(362\) 4.35723 + 8.32125i 0.229011 + 0.437355i
\(363\) 10.4460 52.5158i 0.548275 2.75636i
\(364\) 17.9630 7.08509i 0.941518 0.371360i
\(365\) −0.895000 + 1.33946i −0.0468464 + 0.0701106i
\(366\) 29.5774 + 16.1343i 1.54604 + 0.843353i
\(367\) 20.9060 20.9060i 1.09129 1.09129i 0.0958935 0.995392i \(-0.469429\pi\)
0.995392 0.0958935i \(-0.0305708\pi\)
\(368\) 0.149860 4.40426i 0.00781201 0.229588i
\(369\) 10.2182 + 10.2182i 0.531936 + 0.531936i
\(370\) 0.605217 + 2.05797i 0.0314637 + 0.106989i
\(371\) −34.3336 22.9410i −1.78251 1.19104i
\(372\) −0.522182 + 30.7018i −0.0270739 + 1.59181i
\(373\) 23.8329 + 4.74066i 1.23402 + 0.245462i 0.768659 0.639659i \(-0.220924\pi\)
0.465362 + 0.885121i \(0.345924\pi\)
\(374\) −10.8459 3.39103i −0.560826 0.175346i
\(375\) 15.1251 6.26501i 0.781055 0.323524i
\(376\) −7.92807 + 23.9210i −0.408859 + 1.23363i
\(377\) −3.31907 1.37481i −0.170941 0.0708061i
\(378\) 8.14129 9.74993i 0.418743 0.501482i
\(379\) −20.7596 + 13.8712i −1.06635 + 0.712513i −0.959485 0.281760i \(-0.909082\pi\)
−0.106867 + 0.994273i \(0.534082\pi\)
\(380\) 1.19847 + 0.259653i 0.0614802 + 0.0133199i
\(381\) −2.86296 14.3931i −0.146674 0.737381i
\(382\) 1.40415 + 1.74094i 0.0718427 + 0.0890744i
\(383\) −24.5463 −1.25426 −0.627128 0.778916i \(-0.715770\pi\)
−0.627128 + 0.778916i \(0.715770\pi\)
\(384\) 5.87863 + 24.5531i 0.299993 + 1.25297i
\(385\) −18.2346 −0.929323
\(386\) 14.5545 + 18.0455i 0.740806 + 0.918491i
\(387\) −2.38183 11.9743i −0.121075 0.608687i
\(388\) −25.6437 5.55581i −1.30186 0.282053i
\(389\) 19.0280 12.7141i 0.964758 0.644630i 0.0298624 0.999554i \(-0.490493\pi\)
0.934895 + 0.354924i \(0.115493\pi\)
\(390\) −3.86773 + 4.63196i −0.195850 + 0.234548i
\(391\) 1.38255 + 0.572672i 0.0699187 + 0.0289613i
\(392\) 22.9936 + 7.62070i 1.16135 + 0.384903i
\(393\) 10.0230 4.15166i 0.505593 0.209423i
\(394\) 3.64324 + 1.13908i 0.183544 + 0.0573862i
\(395\) −6.72381 1.33745i −0.338312 0.0672944i
\(396\) 0.398332 23.4200i 0.0200169 1.17690i
\(397\) 20.2490 + 13.5300i 1.01627 + 0.679050i 0.947886 0.318609i \(-0.103216\pi\)
0.0683838 + 0.997659i \(0.478216\pi\)
\(398\) −5.25484 17.8685i −0.263401 0.895665i
\(399\) 4.88518 + 4.88518i 0.244565 + 0.244565i
\(400\) 12.8305 11.9861i 0.641524 0.599304i
\(401\) 13.4688 13.4688i 0.672599 0.672599i −0.285716 0.958314i \(-0.592231\pi\)
0.958314 + 0.285716i \(0.0922312\pi\)
\(402\) −20.1932 11.0153i −1.00715 0.549392i
\(403\) −9.35433 + 13.9997i −0.465972 + 0.697377i
\(404\) 8.35115 3.29392i 0.415485 0.163878i
\(405\) −1.67974 + 8.44462i −0.0834669 + 0.419616i
\(406\) −3.79931 7.25575i −0.188557 0.360097i
\(407\) −4.39483 10.6101i −0.217844 0.525922i
\(408\) −8.50789 1.05769i −0.421204 0.0523637i
\(409\) −3.05166 + 7.36736i −0.150895 + 0.364293i −0.981194 0.193026i \(-0.938170\pi\)
0.830299 + 0.557319i \(0.188170\pi\)
\(410\) 0.722250 + 8.03280i 0.0356694 + 0.396712i
\(411\) 26.1123 + 39.0798i 1.28803 + 1.92767i
\(412\) 17.5783 + 12.1829i 0.866023 + 0.600209i
\(413\) −19.6048 + 3.89963i −0.964688 + 0.191888i
\(414\) −0.328436 + 3.06707i −0.0161417 + 0.150738i
\(415\) 1.59881i 0.0784824i
\(416\) −4.57811 + 13.0650i −0.224460 + 0.640564i
\(417\) 42.8195i 2.09688i
\(418\) −6.52775 0.699022i −0.319283 0.0341903i
\(419\) −12.5395 + 2.49426i −0.612593 + 0.121852i −0.491629 0.870805i \(-0.663598\pi\)
−0.120964 + 0.992657i \(0.538598\pi\)
\(420\) −13.5366 + 2.45407i −0.660521 + 0.119746i
\(421\) −10.8903 16.2984i −0.530759 0.794337i 0.465099 0.885259i \(-0.346019\pi\)
−0.995858 + 0.0909215i \(0.971019\pi\)
\(422\) −9.67679 + 0.870065i −0.471059 + 0.0423541i
\(423\) 6.75033 16.2967i 0.328212 0.792375i
\(424\) 28.5394 7.86824i 1.38600 0.382115i
\(425\) 2.28170 + 5.50852i 0.110679 + 0.267203i
\(426\) −7.54673 + 3.95168i −0.365640 + 0.191459i
\(427\) −8.21683 + 41.3088i −0.397640 + 1.99907i
\(428\) 7.00978 + 3.04422i 0.338830 + 0.147148i
\(429\) 17.9485 26.8618i 0.866560 1.29690i
\(430\) 3.26309 5.98189i 0.157360 0.288472i
\(431\) 18.4810 18.4810i 0.890199 0.890199i −0.104343 0.994541i \(-0.533274\pi\)
0.994541 + 0.104343i \(0.0332739\pi\)
\(432\) 1.47184 + 8.98681i 0.0708139 + 0.432378i
\(433\) 6.00332 + 6.00332i 0.288501 + 0.288501i 0.836487 0.547986i \(-0.184605\pi\)
−0.547986 + 0.836487i \(0.684605\pi\)
\(434\) −36.8263 + 10.8301i −1.76772 + 0.519860i
\(435\) 2.12815 + 1.42199i 0.102037 + 0.0681791i
\(436\) −13.7024 14.1766i −0.656226 0.678935i
\(437\) 0.847937 + 0.168665i 0.0405623 + 0.00806835i
\(438\) 1.94172 6.21040i 0.0927791 0.296744i
\(439\) −19.8680 + 8.22958i −0.948246 + 0.392777i −0.802571 0.596556i \(-0.796535\pi\)
−0.145675 + 0.989333i \(0.546535\pi\)
\(440\) 8.54852 9.89077i 0.407535 0.471524i
\(441\) −15.6649 6.48862i −0.745948 0.308982i
\(442\) −3.60851 3.01314i −0.171639 0.143320i
\(443\) 15.5336 10.3792i 0.738023 0.493131i −0.128848 0.991664i \(-0.541128\pi\)
0.866871 + 0.498533i \(0.166128\pi\)
\(444\) −4.69048 7.28501i −0.222600 0.345731i
\(445\) −0.461025 2.31773i −0.0218547 0.109871i
\(446\) −4.27449 + 3.44757i −0.202403 + 0.163247i
\(447\) −2.10215 −0.0994282
\(448\) −27.1023 + 16.1734i −1.28047 + 0.764122i
\(449\) 32.6778 1.54216 0.771081 0.636737i \(-0.219716\pi\)
0.771081 + 0.636737i \(0.219716\pi\)
\(450\) −9.56628 + 7.71565i −0.450959 + 0.363719i
\(451\) −8.42370 42.3488i −0.396657 1.99413i
\(452\) 7.75840 4.99527i 0.364925 0.234958i
\(453\) 20.1881 13.4893i 0.948522 0.633782i
\(454\) −24.9403 20.8254i −1.17051 0.977386i
\(455\) −6.96941 2.88682i −0.326731 0.135336i
\(456\) −4.94002 + 0.359599i −0.231337 + 0.0168398i
\(457\) −23.3834 + 9.68573i −1.09383 + 0.453079i −0.855341 0.518066i \(-0.826652\pi\)
−0.238489 + 0.971145i \(0.576652\pi\)
\(458\) −2.59488 + 8.29945i −0.121251 + 0.387808i
\(459\) −3.03298 0.603297i −0.141567 0.0281595i
\(460\) −1.23787 + 1.19646i −0.0577158 + 0.0557853i
\(461\) 2.39596 + 1.60093i 0.111591 + 0.0745627i 0.610113 0.792314i \(-0.291124\pi\)
−0.498522 + 0.866877i \(0.666124\pi\)
\(462\) 70.6599 20.7800i 3.28740 0.966773i
\(463\) 24.5897 + 24.5897i 1.14278 + 1.14278i 0.987940 + 0.154840i \(0.0494863\pi\)
0.154840 + 0.987940i \(0.450514\pi\)
\(464\) 5.71678 + 1.34073i 0.265395 + 0.0622420i
\(465\) 8.48230 8.48230i 0.393357 0.393357i
\(466\) 1.29867 2.38072i 0.0601598 0.110285i
\(467\) −7.08500 + 10.6035i −0.327855 + 0.490670i −0.958379 0.285500i \(-0.907840\pi\)
0.630524 + 0.776170i \(0.282840\pi\)
\(468\) 3.85999 8.88823i 0.178428 0.410858i
\(469\) 5.60983 28.2025i 0.259038 1.30227i
\(470\) 8.72160 4.56687i 0.402298 0.210654i
\(471\) −1.88748 4.55679i −0.0869707 0.209966i
\(472\) 7.07563 12.4621i 0.325682 0.573616i
\(473\) −13.9603 + 33.7031i −0.641895 + 1.54967i
\(474\) 27.5792 2.47972i 1.26675 0.113897i
\(475\) 1.91374 + 2.86411i 0.0878082 + 0.131414i
\(476\) −1.91184 10.5457i −0.0876288 0.483361i
\(477\) −20.3237 + 4.04263i −0.930556 + 0.185099i
\(478\) 12.1281 + 1.29873i 0.554724 + 0.0594024i
\(479\) 8.39981i 0.383797i 0.981415 + 0.191899i \(0.0614644\pi\)
−0.981415 + 0.191899i \(0.938536\pi\)
\(480\) 5.01495 8.49299i 0.228900 0.387650i
\(481\) 4.75101i 0.216628i
\(482\) 1.11065 10.3717i 0.0505886 0.472417i
\(483\) −9.51281 + 1.89222i −0.432848 + 0.0860988i
\(484\) −27.3359 + 39.4421i −1.24254 + 1.79282i
\(485\) 5.69487 + 8.52297i 0.258591 + 0.387008i
\(486\) −2.24937 25.0173i −0.102034 1.13481i
\(487\) −6.40268 + 15.4574i −0.290133 + 0.700443i −0.999992 0.00390038i \(-0.998758\pi\)
0.709859 + 0.704343i \(0.248758\pi\)
\(488\) −18.5545 23.8228i −0.839922 1.07841i
\(489\) 8.87928 + 21.4365i 0.401535 + 0.969391i
\(490\) −4.38982 8.38347i −0.198312 0.378726i
\(491\) 1.85105 9.30587i 0.0835368 0.419968i −0.916275 0.400551i \(-0.868819\pi\)
0.999811 0.0194174i \(-0.00618114\pi\)
\(492\) −11.9528 30.3043i −0.538876 1.36623i
\(493\) −1.10779 + 1.65793i −0.0498926 + 0.0746695i
\(494\) −2.38429 1.30062i −0.107274 0.0585174i
\(495\) −6.47049 + 6.47049i −0.290827 + 0.290827i
\(496\) 11.3900 25.0524i 0.511428 1.12489i
\(497\) −7.53017 7.53017i −0.337774 0.337774i
\(498\) 1.82199 + 6.19545i 0.0816451 + 0.277625i
\(499\) 12.4453 + 8.31569i 0.557129 + 0.372261i 0.802027 0.597287i \(-0.203755\pi\)
−0.244899 + 0.969549i \(0.578755\pi\)
\(500\) −14.6705 0.249518i −0.656083 0.0111588i
\(501\) −32.4591 6.45653i −1.45017 0.288456i
\(502\) −6.05759 1.89395i −0.270363 0.0845309i
\(503\) 7.01440 2.90546i 0.312757 0.129548i −0.220783 0.975323i \(-0.570861\pi\)
0.533540 + 0.845775i \(0.320861\pi\)
\(504\) 19.7425 9.91363i 0.879400 0.441588i
\(505\) −3.24013 1.34211i −0.144184 0.0597230i
\(506\) 5.90743 7.07468i 0.262617 0.314508i
\(507\) −13.0083 + 8.69190i −0.577721 + 0.386021i
\(508\) −2.78490 + 12.8542i −0.123560 + 0.570311i
\(509\) −6.73996 33.8841i −0.298743 1.50188i −0.780264 0.625450i \(-0.784915\pi\)
0.481521 0.876435i \(-0.340085\pi\)
\(510\) 2.10269 + 2.60702i 0.0931085 + 0.115441i
\(511\) 8.13423 0.359837
\(512\) 3.93303 22.2830i 0.173817 0.984778i
\(513\) −1.78656 −0.0788787
\(514\) 5.21065 + 6.46044i 0.229832 + 0.284958i
\(515\) −1.63003 8.19473i −0.0718279 0.361103i
\(516\) −5.82769 + 26.8986i −0.256550 + 1.18415i
\(517\) −43.8239 + 29.2822i −1.92737 + 1.28783i
\(518\) 6.94230 8.31403i 0.305027 0.365298i
\(519\) −10.4510 4.32894i −0.458748 0.190020i
\(520\) 4.83317 2.42696i 0.211948 0.106429i
\(521\) −35.4201 + 14.6715i −1.55178 + 0.642770i −0.983638 0.180158i \(-0.942339\pi\)
−0.568146 + 0.822928i \(0.692339\pi\)
\(522\) −3.92284 1.22650i −0.171698 0.0536826i
\(523\) −3.91974 0.779685i −0.171398 0.0340933i 0.108645 0.994081i \(-0.465349\pi\)
−0.280043 + 0.959987i \(0.590349\pi\)
\(524\) −9.72172 0.165349i −0.424695 0.00722330i
\(525\) −32.1318 21.4698i −1.40235 0.937018i
\(526\) 11.7326 + 39.8955i 0.511568 + 1.73953i
\(527\) 6.60811 + 6.60811i 0.287854 + 0.287854i
\(528\) −21.8544 + 48.0690i −0.951092 + 2.09193i
\(529\) 15.4052 15.4052i 0.669792 0.669792i
\(530\) −10.1529 5.53836i −0.441015 0.240571i
\(531\) −5.57291 + 8.34045i −0.241844 + 0.361945i
\(532\) −2.27189 5.75999i −0.0984990 0.249727i
\(533\) 3.48487 17.5196i 0.150946 0.758859i
\(534\) 4.42775 + 8.45591i 0.191607 + 0.365923i
\(535\) −1.14252 2.75829i −0.0493955 0.119251i
\(536\) 12.6676 + 16.2644i 0.547157 + 0.702516i
\(537\) 2.60621 6.29195i 0.112466 0.271518i
\(538\) −1.39932 15.5631i −0.0603291 0.670974i
\(539\) 28.1469 + 42.1248i 1.21237 + 1.81445i
\(540\) 2.02651 2.92399i 0.0872070 0.125828i
\(541\) 37.1103 7.38169i 1.59550 0.317364i 0.684256 0.729242i \(-0.260127\pi\)
0.911239 + 0.411878i \(0.135127\pi\)
\(542\) −3.66739 + 34.2476i −0.157528 + 1.47106i
\(543\) 14.8216i 0.636056i
\(544\) 6.61644 + 3.90688i 0.283678 + 0.167506i
\(545\) 7.70242i 0.329935i
\(546\) 30.2965 + 3.24429i 1.29657 + 0.138843i
\(547\) 6.05489 1.20439i 0.258888 0.0514961i −0.0639395 0.997954i \(-0.520366\pi\)
0.322828 + 0.946458i \(0.395366\pi\)
\(548\) −7.51423 41.4485i −0.320992 1.77059i
\(549\) 11.7426 + 17.5740i 0.501160 + 0.750039i
\(550\) 36.5750 3.28855i 1.55956 0.140224i
\(551\) −0.440842 + 1.06429i −0.0187805 + 0.0453402i
\(552\) 3.43330 6.04700i 0.146131 0.257377i
\(553\) 13.2469 + 31.9808i 0.563315 + 1.35996i
\(554\) −34.4842 + 18.0569i −1.46509 + 0.767163i
\(555\) −0.660355 + 3.31983i −0.0280305 + 0.140919i
\(556\) 15.2869 35.2004i 0.648308 1.49283i
\(557\) 10.4706 15.6704i 0.443653 0.663974i −0.540490 0.841351i \(-0.681761\pi\)
0.984143 + 0.177377i \(0.0567610\pi\)
\(558\) −9.22468 + 16.9107i −0.390512 + 0.715887i
\(559\) −10.6714 + 10.6714i −0.451354 + 0.451354i
\(560\) 12.0041 + 2.81528i 0.507267 + 0.118967i
\(561\) −12.6792 12.6792i −0.535316 0.535316i
\(562\) 21.9890 6.46663i 0.927551 0.272778i
\(563\) −31.7318 21.2025i −1.33733 0.893578i −0.338458 0.940981i \(-0.609905\pi\)
−0.998876 + 0.0474033i \(0.984905\pi\)
\(564\) −28.5922 + 27.6359i −1.20395 + 1.16368i
\(565\) −3.53555 0.703266i −0.148742 0.0295866i
\(566\) −3.76468 + 12.0409i −0.158241 + 0.506118i
\(567\) 40.1656 16.6371i 1.68680 0.698694i
\(568\) 7.61469 0.554297i 0.319505 0.0232578i
\(569\) 5.70005 + 2.36104i 0.238958 + 0.0989798i 0.498949 0.866631i \(-0.333719\pi\)
−0.259991 + 0.965611i \(0.583719\pi\)
\(570\) 1.48527 + 1.24022i 0.0622113 + 0.0519470i
\(571\) 25.4415 16.9994i 1.06469 0.711405i 0.105574 0.994411i \(-0.466332\pi\)
0.959118 + 0.283007i \(0.0913319\pi\)
\(572\) −24.3447 + 15.6744i −1.01790 + 0.655379i
\(573\) 0.688527 + 3.46146i 0.0287636 + 0.144605i
\(574\) 31.6984 25.5663i 1.32307 1.06712i
\(575\) −4.83596 −0.201673
\(576\) −3.87809 + 15.3562i −0.161587 + 0.639843i
\(577\) 13.1957 0.549345 0.274673 0.961538i \(-0.411431\pi\)
0.274673 + 0.961538i \(0.411431\pi\)
\(578\) 16.6825 13.4552i 0.693899 0.559662i
\(579\) 7.13682 + 35.8792i 0.296596 + 1.49109i
\(580\) −1.24182 1.92873i −0.0515638 0.0800863i
\(581\) −6.71236 + 4.48506i −0.278476 + 0.186071i
\(582\) −31.7805 26.5370i −1.31735 1.10000i
\(583\) 57.2035 + 23.6945i 2.36913 + 0.981324i
\(584\) −3.81338 + 4.41215i −0.157799 + 0.182576i
\(585\) −3.49745 + 1.44869i −0.144602 + 0.0598959i
\(586\) 10.2946 32.9264i 0.425268 1.36018i
\(587\) 28.1626 + 5.60188i 1.16239 + 0.231215i 0.738344 0.674424i \(-0.235608\pi\)
0.424050 + 0.905639i \(0.360608\pi\)
\(588\) 26.5644 + 27.4837i 1.09550 + 1.13341i
\(589\) 4.48913 + 2.99954i 0.184971 + 0.123594i
\(590\) −5.37104 + 1.57954i −0.221122 + 0.0650286i
\(591\) 4.25908 + 4.25908i 0.175195 + 0.175195i
\(592\) 1.25508 + 7.66330i 0.0515833 + 0.314960i
\(593\) 8.50593 8.50593i 0.349297 0.349297i −0.510551 0.859848i \(-0.670559\pi\)
0.859848 + 0.510551i \(0.170559\pi\)
\(594\) −9.12081 + 16.7203i −0.374231 + 0.686041i
\(595\) −2.32615 + 3.48133i −0.0953630 + 0.142721i
\(596\) 1.72810 + 0.750483i 0.0707859 + 0.0307410i
\(597\) 5.73358 28.8246i 0.234660 1.17971i
\(598\) 3.37789 1.76876i 0.138132 0.0723299i
\(599\) −17.7398 42.8278i −0.724831 1.74990i −0.659096 0.752059i \(-0.729061\pi\)
−0.0657345 0.997837i \(-0.520939\pi\)
\(600\) 26.7092 7.36365i 1.09040 0.300620i
\(601\) 9.36011 22.5973i 0.381807 0.921763i −0.609810 0.792548i \(-0.708754\pi\)
0.991617 0.129215i \(-0.0412459\pi\)
\(602\) −34.2679 + 3.08111i −1.39665 + 0.125577i
\(603\) −8.01693 11.9982i −0.326475 0.488604i
\(604\) −21.4117 + 3.88175i −0.871232 + 0.157946i
\(605\) 18.3872 3.65745i 0.747548 0.148697i
\(606\) 14.0851 + 1.50830i 0.572168 + 0.0612703i
\(607\) 19.9552i 0.809956i 0.914326 + 0.404978i \(0.132721\pi\)
−0.914326 + 0.404978i \(0.867279\pi\)
\(608\) 4.18940 + 1.46801i 0.169902 + 0.0595356i
\(609\) 12.9238i 0.523698i
\(610\) −1.25604 + 11.7294i −0.0508554 + 0.474909i
\(611\) −21.3856 + 4.25387i −0.865170 + 0.172093i
\(612\) −4.42050 3.06369i −0.178688 0.123842i
\(613\) 15.7066 + 23.5066i 0.634384 + 0.949423i 0.999827 + 0.0185890i \(0.00591740\pi\)
−0.365443 + 0.930834i \(0.619083\pi\)
\(614\) −1.24270 13.8212i −0.0501514 0.557779i
\(615\) −4.87019 + 11.7577i −0.196385 + 0.474115i
\(616\) −65.5057 8.14361i −2.63930 0.328116i
\(617\) −7.93425 19.1550i −0.319421 0.771150i −0.999285 0.0378118i \(-0.987961\pi\)
0.679864 0.733338i \(-0.262039\pi\)
\(618\) 15.6551 + 29.8973i 0.629740 + 1.20265i
\(619\) −1.06040 + 5.33101i −0.0426212 + 0.214271i −0.996227 0.0867872i \(-0.972340\pi\)
0.953606 + 0.301059i \(0.0973400\pi\)
\(620\) −10.0013 + 3.94476i −0.401660 + 0.158425i
\(621\) 1.39347 2.08547i 0.0559179 0.0836871i
\(622\) −38.1166 20.7924i −1.52833 0.833697i
\(623\) −8.43735 + 8.43735i −0.338035 + 0.338035i
\(624\) −15.9630 + 14.9124i −0.639031 + 0.596974i
\(625\) −11.4662 11.4662i −0.458647 0.458647i
\(626\) 9.69933 + 32.9814i 0.387663 + 1.31820i
\(627\) −8.61344 5.75532i −0.343988 0.229845i
\(628\) −0.0751732 + 4.41982i −0.00299974 + 0.176370i
\(629\) −2.58630 0.514447i −0.103123 0.0205124i
\(630\) −8.23721 2.57542i −0.328178 0.102607i
\(631\) −35.9213 + 14.8791i −1.43000 + 0.592327i −0.957353 0.288922i \(-0.906703\pi\)
−0.472652 + 0.881249i \(0.656703\pi\)
\(632\) −23.5572 7.80749i −0.937054 0.310565i
\(633\) −14.1640 5.86692i −0.562968 0.233189i
\(634\) 6.03086 7.22250i 0.239516 0.286842i
\(635\) 4.27222 2.85460i 0.169538 0.113282i
\(636\) 45.6544 + 9.89119i 1.81032 + 0.392211i
\(637\) 4.08894 + 20.5565i 0.162010 + 0.814479i
\(638\) 7.70997 + 9.55923i 0.305240 + 0.378454i
\(639\) −5.34410 −0.211409
\(640\) −7.15468 + 5.19142i −0.282813 + 0.205209i
\(641\) 2.72233 0.107526 0.0537629 0.998554i \(-0.482878\pi\)
0.0537629 + 0.998554i \(0.482878\pi\)
\(642\) 7.57064 + 9.38648i 0.298789 + 0.370455i
\(643\) 0.135549 + 0.681448i 0.00534551 + 0.0268737i 0.983366 0.181635i \(-0.0581390\pi\)
−0.978020 + 0.208509i \(0.933139\pi\)
\(644\) 8.49569 + 1.84062i 0.334777 + 0.0725306i
\(645\) 8.94005 5.97355i 0.352014 0.235208i
\(646\) −0.966188 + 1.15710i −0.0380142 + 0.0455254i
\(647\) −29.4862 12.2136i −1.15922 0.480165i −0.281606 0.959530i \(-0.590867\pi\)
−0.877616 + 0.479365i \(0.840867\pi\)
\(648\) −9.80564 + 29.5861i −0.385202 + 1.16225i
\(649\) 27.6909 11.4700i 1.08696 0.450235i
\(650\) 14.4998 + 4.53347i 0.568731 + 0.177817i
\(651\) −59.4067 11.8167i −2.32833 0.463134i
\(652\) 0.353637 20.7922i 0.0138495 0.814284i
\(653\) −35.6443 23.8167i −1.39487 0.932021i −0.999911 0.0133207i \(-0.995760\pi\)
−0.394956 0.918700i \(-0.629240\pi\)
\(654\) −8.77760 29.8472i −0.343231 1.16712i
\(655\) 2.68592 + 2.68592i 0.104948 + 0.104948i
\(656\) −0.992865 + 29.1794i −0.0387649 + 1.13926i
\(657\) 2.88640 2.88640i 0.112609 0.112609i
\(658\) −43.6396 23.8051i −1.70125 0.928021i
\(659\) 19.0570 28.5207i 0.742354 1.11101i −0.247496 0.968889i \(-0.579608\pi\)
0.989849 0.142122i \(-0.0453924\pi\)
\(660\) 19.1897 7.56894i 0.746960 0.294621i
\(661\) −2.62496 + 13.1966i −0.102099 + 0.513287i 0.895562 + 0.444936i \(0.146774\pi\)
−0.997661 + 0.0683508i \(0.978226\pi\)
\(662\) −2.57053 4.90907i −0.0999064 0.190797i
\(663\) −2.83877 6.85340i −0.110249 0.266164i
\(664\) 0.714030 5.74352i 0.0277097 0.222892i
\(665\) −0.925683 + 2.23480i −0.0358965 + 0.0866617i
\(666\) −0.486755 5.41365i −0.0188614 0.209775i
\(667\) −0.898508 1.34471i −0.0347904 0.0520675i
\(668\) 24.3785 + 16.8958i 0.943233 + 0.653720i
\(669\) −8.49882 + 1.69052i −0.328584 + 0.0653593i
\(670\) 0.857527 8.00794i 0.0331292 0.309374i
\(671\) 63.1543i 2.43805i
\(672\) −49.7248 + 2.77046i −1.91817 + 0.106873i
\(673\) 23.6665i 0.912275i −0.889909 0.456137i \(-0.849233\pi\)
0.889909 0.456137i \(-0.150767\pi\)
\(674\) −27.5667 2.95197i −1.06183 0.113705i
\(675\) 9.80133 1.94961i 0.377254 0.0750404i
\(676\) 13.7968 2.50123i 0.530646 0.0962012i
\(677\) 14.9427 + 22.3633i 0.574294 + 0.859491i 0.998948 0.0458647i \(-0.0146043\pi\)
−0.424654 + 0.905356i \(0.639604\pi\)
\(678\) 14.5019 1.30390i 0.556940 0.0500760i
\(679\) 19.8069 47.8181i 0.760120 1.83509i
\(680\) −0.797818 2.89382i −0.0305949 0.110973i
\(681\) −19.6203 47.3675i −0.751850 1.81513i
\(682\) 50.9904 26.7000i 1.95252 1.02240i
\(683\) 4.84474 24.3562i 0.185379 0.931963i −0.770329 0.637647i \(-0.779908\pi\)
0.955708 0.294316i \(-0.0950920\pi\)
\(684\) −2.85008 1.23774i −0.108976 0.0473261i
\(685\) −9.14265 + 13.6829i −0.349323 + 0.522798i
\(686\) −4.17955 + 7.66195i −0.159576 + 0.292535i
\(687\) −9.70237 + 9.70237i −0.370168 + 0.370168i
\(688\) 14.3938 20.0319i 0.548757 0.763710i
\(689\) 18.1124 + 18.1124i 0.690027 + 0.690027i
\(690\) −2.60619 + 0.766439i −0.0992158 + 0.0291779i
\(691\) 11.5361 + 7.70819i 0.438855 + 0.293233i 0.755302 0.655377i \(-0.227490\pi\)
−0.316448 + 0.948610i \(0.602490\pi\)
\(692\) 7.04594 + 7.28976i 0.267846 + 0.277115i
\(693\) 45.3167 + 9.01406i 1.72144 + 0.342416i
\(694\) −10.4404 + 33.3924i −0.396311 + 1.26756i
\(695\) −13.8511 + 5.73730i −0.525401 + 0.217628i
\(696\) 7.01008 + 6.05875i 0.265716 + 0.229656i
\(697\) −9.15978 3.79410i −0.346951 0.143712i
\(698\) 38.3260 + 32.0026i 1.45066 + 1.21132i
\(699\) 3.55804 2.37740i 0.134577 0.0899217i
\(700\) 18.7496 + 29.1209i 0.708667 + 1.10067i
\(701\) 7.20549 + 36.2244i 0.272148 + 1.36818i 0.838898 + 0.544289i \(0.183200\pi\)
−0.566750 + 0.823890i \(0.691800\pi\)
\(702\) −6.13312 + 4.94665i −0.231480 + 0.186699i
\(703\) −1.52345 −0.0574581
\(704\) 35.1268 31.7136i 1.32389 1.19525i
\(705\) 15.5347 0.585072
\(706\) −17.9992 + 14.5172i −0.677408 + 0.546361i
\(707\) 3.45474 + 17.3682i 0.129929 + 0.653197i
\(708\) 19.0130 12.2416i 0.714551 0.460066i
\(709\) −20.0441 + 13.3930i −0.752770 + 0.502985i −0.871774 0.489909i \(-0.837030\pi\)
0.119003 + 0.992894i \(0.462030\pi\)
\(710\) −2.28945 1.91171i −0.0859214 0.0717452i
\(711\) 16.0489 + 6.64766i 0.601880 + 0.249307i
\(712\) −0.621074 8.53205i −0.0232757 0.319752i
\(713\) −7.00278 + 2.90065i −0.262256 + 0.108630i
\(714\) 5.04664 16.1412i 0.188866 0.604068i
\(715\) 11.0940 + 2.20674i 0.414893 + 0.0825273i
\(716\) −4.38875 + 4.24196i −0.164015 + 0.158529i
\(717\) 16.0031 + 10.6929i 0.597647 + 0.399335i
\(718\) 2.97042 0.873555i 0.110855 0.0326008i
\(719\) 5.08606 + 5.08606i 0.189678 + 0.189678i 0.795557 0.605879i \(-0.207178\pi\)
−0.605879 + 0.795557i \(0.707178\pi\)
\(720\) 5.25861 3.26063i 0.195977 0.121516i
\(721\) −29.8317 + 29.8317i −1.11099 + 1.11099i
\(722\) 12.4504 22.8242i 0.463358 0.849428i
\(723\) 9.14439 13.6855i 0.340084 0.508971i
\(724\) 5.29143 12.1843i 0.196654 0.452827i
\(725\) 1.25711 6.31990i 0.0466878 0.234715i
\(726\) −67.0833 + 35.1267i −2.48970 + 1.30367i
\(727\) 16.1339 + 38.9506i 0.598372 + 1.44460i 0.875240 + 0.483690i \(0.160704\pi\)
−0.276867 + 0.960908i \(0.589296\pi\)
\(728\) −23.7475 13.4831i −0.880140 0.499717i
\(729\) 2.51641 6.07515i 0.0932003 0.225006i
\(730\) 2.26908 0.204019i 0.0839826 0.00755109i
\(731\) 4.65368 + 6.96472i 0.172122 + 0.257599i
\(732\) −8.49949 46.8832i −0.314150 1.73285i
\(733\) −32.2035 + 6.40567i −1.18946 + 0.236599i −0.749862 0.661595i \(-0.769880\pi\)
−0.439601 + 0.898193i \(0.644880\pi\)
\(734\) −41.5743 4.45197i −1.53454 0.164325i
\(735\) 14.9324i 0.550791i
\(736\) −4.98122 + 3.74531i −0.183610 + 0.138054i
\(737\) 43.1170i 1.58824i
\(738\) 2.17598 20.3202i 0.0800988 0.747995i
\(739\) −1.11174 + 0.221139i −0.0408961 + 0.00813474i −0.215496 0.976505i \(-0.569137\pi\)
0.174600 + 0.984639i \(0.444137\pi\)
\(740\) 1.72806 2.49336i 0.0635247 0.0916579i
\(741\) −2.38096 3.56336i −0.0874669 0.130903i
\(742\) 5.22950 + 58.1620i 0.191981 + 2.13519i
\(743\) −11.1248 + 26.8577i −0.408130 + 0.985313i 0.577500 + 0.816391i \(0.304028\pi\)
−0.985629 + 0.168922i \(0.945972\pi\)
\(744\) 34.2599 26.6834i 1.25603 0.978262i
\(745\) −0.281663 0.679995i −0.0103193 0.0249131i
\(746\) −15.9413 30.4440i −0.583653 1.11463i
\(747\) −0.790350 + 3.97336i −0.0289174 + 0.145378i
\(748\) 5.89656 + 14.9497i 0.215600 + 0.546615i
\(749\) −8.37522 + 12.5344i −0.306024 + 0.457997i
\(750\) −20.3251 11.0872i −0.742168 0.404848i
\(751\) −19.2670 + 19.2670i −0.703061 + 0.703061i −0.965066 0.262005i \(-0.915616\pi\)
0.262005 + 0.965066i \(0.415616\pi\)
\(752\) 33.3709 12.5109i 1.21691 0.456224i
\(753\) −7.08155 7.08155i −0.258066 0.258066i
\(754\) 1.43343 + 4.87421i 0.0522025 + 0.177508i
\(755\) 7.06843 + 4.72298i 0.257247 + 0.171887i
\(756\) −17.9608 0.305481i −0.653228 0.0111102i
\(757\) 3.81457 + 0.758766i 0.138643 + 0.0275778i 0.263924 0.964544i \(-0.414983\pi\)
−0.125281 + 0.992121i \(0.539983\pi\)
\(758\) 33.7005 + 10.5367i 1.22406 + 0.382709i
\(759\) 13.4365 5.56556i 0.487713 0.202017i
\(760\) −0.778225 1.54979i −0.0282292 0.0562170i
\(761\) 14.1327 + 5.85394i 0.512309 + 0.212205i 0.623835 0.781556i \(-0.285574\pi\)
−0.111526 + 0.993762i \(0.535574\pi\)
\(762\) −13.3019 + 15.9303i −0.481878 + 0.577093i
\(763\) 32.3375 21.6072i 1.17069 0.782233i
\(764\) 0.669753 3.09136i 0.0242308 0.111841i
\(765\) 0.409911 + 2.06076i 0.0148204 + 0.0745071i
\(766\) 21.7932 + 27.0203i 0.787419 + 0.976285i
\(767\) 12.3995 0.447722
\(768\) 21.8086 28.2704i 0.786949 1.02012i
\(769\) −47.4209 −1.71004 −0.855020 0.518595i \(-0.826455\pi\)
−0.855020 + 0.518595i \(0.826455\pi\)
\(770\) 16.1894 + 20.0725i 0.583426 + 0.723363i
\(771\) 2.55505 + 12.8451i 0.0920178 + 0.462604i
\(772\) 6.94222 32.0430i 0.249856 1.15325i
\(773\) 18.9615 12.6697i