Properties

Label 960.2.cn.a.611.108
Level $960$
Weight $2$
Character 960.611
Analytic conductor $7.666$
Analytic rank $0$
Dimension $1024$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 960 = 2^{6} \cdot 3 \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 960.cn (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.66563859404\)
Analytic rank: \(0\)
Dimension: \(1024\)
Relative dimension: \(128\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 611.108
Character \(\chi\) \(=\) 960.611
Dual form 960.2.cn.a.11.108

$q$-expansion

\(f(q)\) \(=\) \(q+(1.25987 - 0.642446i) q^{2} +(0.399961 - 1.68524i) q^{3} +(1.17453 - 1.61879i) q^{4} +(-0.831470 - 0.555570i) q^{5} +(-0.578777 - 2.38013i) q^{6} +(-0.496021 - 1.19750i) q^{7} +(0.439761 - 2.79403i) q^{8} +(-2.68006 - 1.34806i) q^{9} +O(q^{10})\) \(q+(1.25987 - 0.642446i) q^{2} +(0.399961 - 1.68524i) q^{3} +(1.17453 - 1.61879i) q^{4} +(-0.831470 - 0.555570i) q^{5} +(-0.578777 - 2.38013i) q^{6} +(-0.496021 - 1.19750i) q^{7} +(0.439761 - 2.79403i) q^{8} +(-2.68006 - 1.34806i) q^{9} +(-1.40446 - 0.165770i) q^{10} +(-0.701467 - 3.52651i) q^{11} +(-2.25829 - 2.62681i) q^{12} +(2.14761 + 3.21413i) q^{13} +(-1.39425 - 1.19002i) q^{14} +(-1.26882 + 1.17902i) q^{15} +(-1.24097 - 3.80263i) q^{16} +(-0.789972 + 0.789972i) q^{17} +(-4.24258 + 0.0234197i) q^{18} +(4.26717 + 6.38627i) q^{19} +(-1.87594 + 0.693444i) q^{20} +(-2.21646 + 0.356960i) q^{21} +(-3.14935 - 3.99228i) q^{22} +(1.68869 - 4.07686i) q^{23} +(-4.53272 - 1.85861i) q^{24} +(0.382683 + 0.923880i) q^{25} +(4.77060 + 2.66965i) q^{26} +(-3.34372 + 3.97738i) q^{27} +(-2.52109 - 0.603542i) q^{28} +(-7.54744 - 1.50128i) q^{29} +(-0.841093 + 2.30056i) q^{30} -2.10395 q^{31} +(-4.00644 - 3.99355i) q^{32} +(-6.22358 - 0.228328i) q^{33} +(-0.487745 + 1.50277i) q^{34} +(-0.252869 + 1.27126i) q^{35} +(-5.33003 + 2.75513i) q^{36} +(3.92809 + 2.62467i) q^{37} +(9.47889 + 5.30442i) q^{38} +(6.27553 - 2.33371i) q^{39} +(-1.91793 + 2.07883i) q^{40} +(-1.29011 - 0.534381i) q^{41} +(-2.56312 + 1.87368i) q^{42} +(-1.68478 - 8.46996i) q^{43} +(-6.53258 - 3.00646i) q^{44} +(1.47945 + 2.60983i) q^{45} +(-0.491637 - 6.22119i) q^{46} +(8.06060 + 8.06060i) q^{47} +(-6.90468 + 0.570433i) q^{48} +(3.76178 - 3.76178i) q^{49} +(1.07567 + 0.918111i) q^{50} +(1.01533 + 1.64725i) q^{51} +(7.72543 + 0.298544i) q^{52} +(-0.329760 + 0.0655933i) q^{53} +(-1.65740 + 7.15912i) q^{54} +(-1.37598 + 3.32190i) q^{55} +(-3.56398 + 0.859283i) q^{56} +(12.4691 - 4.63694i) q^{57} +(-10.4733 + 2.95741i) q^{58} +(6.16890 - 9.23241i) q^{59} +(0.418318 + 3.43875i) q^{60} +(2.71225 + 0.539500i) q^{61} +(-2.65070 + 1.35167i) q^{62} +(-0.284935 + 3.87804i) q^{63} +(-7.61322 - 2.45741i) q^{64} -3.86560i q^{65} +(-7.98757 + 3.71065i) q^{66} +(3.02134 - 15.1893i) q^{67} +(0.350957 + 2.20664i) q^{68} +(-6.19508 - 4.47643i) q^{69} +(0.498134 + 1.76407i) q^{70} +(0.620249 - 0.256916i) q^{71} +(-4.94511 + 6.89535i) q^{72} +(-0.564831 - 0.233961i) q^{73} +(6.63508 + 0.783145i) q^{74} +(1.71002 - 0.275397i) q^{75} +(15.3499 + 0.593188i) q^{76} +(-3.87506 + 2.58923i) q^{77} +(6.40705 - 6.97185i) q^{78} +(10.9463 + 10.9463i) q^{79} +(-1.08080 + 3.85122i) q^{80} +(5.36547 + 7.22577i) q^{81} +(-1.96868 + 0.155577i) q^{82} +(-12.8021 + 8.55406i) q^{83} +(-2.02545 + 4.00725i) q^{84} +(1.09572 - 0.217953i) q^{85} +(-7.56409 - 9.58864i) q^{86} +(-5.54870 + 12.1188i) q^{87} +(-10.1617 + 0.409097i) q^{88} +(2.34921 - 0.973073i) q^{89} +(3.54058 + 2.33758i) q^{90} +(2.78366 - 4.16604i) q^{91} +(-4.61618 - 7.52202i) q^{92} +(-0.841498 + 3.54566i) q^{93} +(15.3338 + 4.97678i) q^{94} -7.68070i q^{95} +(-8.33250 + 5.15455i) q^{96} +3.06732i q^{97} +(2.32260 - 7.15608i) q^{98} +(-2.87397 + 10.3969i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1024 q + O(q^{10}) \) \( 1024 q + 80 q^{24} + 80 q^{42} - 96 q^{52} - 288 q^{58} - 96 q^{64} + 256 q^{67} - 112 q^{76} - 48 q^{78} + 32 q^{79} - 112 q^{84} - 160 q^{88} - 144 q^{90} - 16 q^{94} - 272 q^{96} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/960\mathbb{Z}\right)^\times\).

\(n\) \(511\) \(577\) \(641\) \(901\)
\(\chi(n)\) \(-1\) \(1\) \(-1\) \(e\left(\frac{11}{16}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.25987 0.642446i 0.890860 0.454278i
\(3\) 0.399961 1.68524i 0.230918 0.972973i
\(4\) 1.17453 1.61879i 0.587263 0.809396i
\(5\) −0.831470 0.555570i −0.371845 0.248459i
\(6\) −0.578777 2.38013i −0.236285 0.971684i
\(7\) −0.496021 1.19750i −0.187478 0.452612i 0.801995 0.597331i \(-0.203772\pi\)
−0.989473 + 0.144719i \(0.953772\pi\)
\(8\) 0.439761 2.79403i 0.155479 0.987839i
\(9\) −2.68006 1.34806i −0.893354 0.449353i
\(10\) −1.40446 0.165770i −0.444131 0.0524211i
\(11\) −0.701467 3.52651i −0.211500 1.06328i −0.929945 0.367699i \(-0.880146\pi\)
0.718444 0.695584i \(-0.244854\pi\)
\(12\) −2.25829 2.62681i −0.651911 0.758295i
\(13\) 2.14761 + 3.21413i 0.595640 + 0.891438i 0.999729 0.0232815i \(-0.00741139\pi\)
−0.404089 + 0.914720i \(0.632411\pi\)
\(14\) −1.39425 1.19002i −0.372629 0.318047i
\(15\) −1.26882 + 1.17902i −0.327609 + 0.304421i
\(16\) −1.24097 3.80263i −0.310243 0.950657i
\(17\) −0.789972 + 0.789972i −0.191596 + 0.191596i −0.796386 0.604789i \(-0.793257\pi\)
0.604789 + 0.796386i \(0.293257\pi\)
\(18\) −4.24258 + 0.0234197i −0.999985 + 0.00552008i
\(19\) 4.26717 + 6.38627i 0.978956 + 1.46511i 0.882803 + 0.469744i \(0.155654\pi\)
0.0961531 + 0.995367i \(0.469346\pi\)
\(20\) −1.87594 + 0.693444i −0.419472 + 0.155059i
\(21\) −2.21646 + 0.356960i −0.483672 + 0.0778952i
\(22\) −3.14935 3.99228i −0.671443 0.851157i
\(23\) 1.68869 4.07686i 0.352117 0.850084i −0.644242 0.764822i \(-0.722827\pi\)
0.996359 0.0852627i \(-0.0271730\pi\)
\(24\) −4.53272 1.85861i −0.925238 0.379386i
\(25\) 0.382683 + 0.923880i 0.0765367 + 0.184776i
\(26\) 4.77060 + 2.66965i 0.935592 + 0.523561i
\(27\) −3.34372 + 3.97738i −0.643500 + 0.765446i
\(28\) −2.52109 0.603542i −0.476442 0.114059i
\(29\) −7.54744 1.50128i −1.40152 0.278781i −0.564268 0.825591i \(-0.690842\pi\)
−0.837256 + 0.546811i \(0.815842\pi\)
\(30\) −0.841093 + 2.30056i −0.153562 + 0.420022i
\(31\) −2.10395 −0.377881 −0.188940 0.981989i \(-0.560505\pi\)
−0.188940 + 0.981989i \(0.560505\pi\)
\(32\) −4.00644 3.99355i −0.708246 0.705966i
\(33\) −6.22358 0.228328i −1.08339 0.0397467i
\(34\) −0.487745 + 1.50277i −0.0836476 + 0.257723i
\(35\) −0.252869 + 1.27126i −0.0427427 + 0.214882i
\(36\) −5.33003 + 2.75513i −0.888339 + 0.459188i
\(37\) 3.92809 + 2.62467i 0.645775 + 0.431493i 0.834856 0.550469i \(-0.185551\pi\)
−0.189081 + 0.981961i \(0.560551\pi\)
\(38\) 9.47889 + 5.30442i 1.53768 + 0.860491i
\(39\) 6.27553 2.33371i 1.00489 0.373693i
\(40\) −1.91793 + 2.07883i −0.303251 + 0.328692i
\(41\) −1.29011 0.534381i −0.201481 0.0834563i 0.279661 0.960099i \(-0.409778\pi\)
−0.481142 + 0.876643i \(0.659778\pi\)
\(42\) −2.56312 + 1.87368i −0.395498 + 0.289115i
\(43\) −1.68478 8.46996i −0.256927 1.29166i −0.866600 0.499004i \(-0.833699\pi\)
0.609673 0.792653i \(-0.291301\pi\)
\(44\) −6.53258 3.00646i −0.984824 0.453240i
\(45\) 1.47945 + 2.60983i 0.220543 + 0.389051i
\(46\) −0.491637 6.22119i −0.0724879 0.917265i
\(47\) 8.06060 + 8.06060i 1.17576 + 1.17576i 0.980814 + 0.194945i \(0.0624528\pi\)
0.194945 + 0.980814i \(0.437547\pi\)
\(48\) −6.90468 + 0.570433i −0.996605 + 0.0823349i
\(49\) 3.76178 3.76178i 0.537397 0.537397i
\(50\) 1.07567 + 0.918111i 0.152123 + 0.129841i
\(51\) 1.01533 + 1.64725i 0.142175 + 0.230661i
\(52\) 7.72543 + 0.298544i 1.07132 + 0.0414006i
\(53\) −0.329760 + 0.0655933i −0.0452960 + 0.00900994i −0.217686 0.976019i \(-0.569851\pi\)
0.172390 + 0.985029i \(0.444851\pi\)
\(54\) −1.65740 + 7.15912i −0.225543 + 0.974233i
\(55\) −1.37598 + 3.32190i −0.185537 + 0.447925i
\(56\) −3.56398 + 0.859283i −0.476257 + 0.114827i
\(57\) 12.4691 4.63694i 1.65157 0.614178i
\(58\) −10.4733 + 2.95741i −1.37521 + 0.388327i
\(59\) 6.16890 9.23241i 0.803122 1.20196i −0.173040 0.984915i \(-0.555359\pi\)
0.976162 0.217042i \(-0.0696409\pi\)
\(60\) 0.418318 + 3.43875i 0.0540046 + 0.443941i
\(61\) 2.71225 + 0.539500i 0.347268 + 0.0690759i 0.365643 0.930755i \(-0.380849\pi\)
−0.0183747 + 0.999831i \(0.505849\pi\)
\(62\) −2.65070 + 1.35167i −0.336639 + 0.171663i
\(63\) −0.284935 + 3.87804i −0.0358984 + 0.488587i
\(64\) −7.61322 2.45741i −0.951652 0.307177i
\(65\) 3.86560i 0.479468i
\(66\) −7.98757 + 3.71065i −0.983201 + 0.456749i
\(67\) 3.02134 15.1893i 0.369115 1.85567i −0.133351 0.991069i \(-0.542574\pi\)
0.502466 0.864597i \(-0.332426\pi\)
\(68\) 0.350957 + 2.20664i 0.0425597 + 0.267595i
\(69\) −6.19508 4.47643i −0.745800 0.538899i
\(70\) 0.498134 + 1.76407i 0.0595384 + 0.210847i
\(71\) 0.620249 0.256916i 0.0736100 0.0304903i −0.345575 0.938391i \(-0.612316\pi\)
0.419185 + 0.907901i \(0.362316\pi\)
\(72\) −4.94511 + 6.89535i −0.582787 + 0.812625i
\(73\) −0.564831 0.233961i −0.0661084 0.0273830i 0.349384 0.936980i \(-0.386391\pi\)
−0.415493 + 0.909597i \(0.636391\pi\)
\(74\) 6.63508 + 0.783145i 0.771313 + 0.0910387i
\(75\) 1.71002 0.275397i 0.197456 0.0318002i
\(76\) 15.3499 + 0.593188i 1.76076 + 0.0680434i
\(77\) −3.87506 + 2.58923i −0.441604 + 0.295070i
\(78\) 6.40705 6.97185i 0.725455 0.789407i
\(79\) 10.9463 + 10.9463i 1.23156 + 1.23156i 0.963366 + 0.268190i \(0.0864255\pi\)
0.268190 + 0.963366i \(0.413575\pi\)
\(80\) −1.08080 + 3.85122i −0.120837 + 0.430579i
\(81\) 5.36547 + 7.22577i 0.596163 + 0.802863i
\(82\) −1.96868 + 0.155577i −0.217404 + 0.0171806i
\(83\) −12.8021 + 8.55406i −1.40521 + 0.938930i −0.405517 + 0.914087i \(0.632909\pi\)
−0.999691 + 0.0248429i \(0.992091\pi\)
\(84\) −2.02545 + 4.00725i −0.220995 + 0.437227i
\(85\) 1.09572 0.217953i 0.118848 0.0236403i
\(86\) −7.56409 9.58864i −0.815656 1.03397i
\(87\) −5.54870 + 12.1188i −0.594883 + 1.29927i
\(88\) −10.1617 + 0.409097i −1.08324 + 0.0436099i
\(89\) 2.34921 0.973073i 0.249015 0.103145i −0.254685 0.967024i \(-0.581972\pi\)
0.503700 + 0.863879i \(0.331972\pi\)
\(90\) 3.54058 + 2.33758i 0.373210 + 0.246402i
\(91\) 2.78366 4.16604i 0.291807 0.436719i
\(92\) −4.61618 7.52202i −0.481270 0.784225i
\(93\) −0.841498 + 3.54566i −0.0872593 + 0.367668i
\(94\) 15.3338 + 4.97678i 1.58156 + 0.513316i
\(95\) 7.68070i 0.788023i
\(96\) −8.33250 + 5.15455i −0.850432 + 0.526084i
\(97\) 3.06732i 0.311439i 0.987801 + 0.155720i \(0.0497696\pi\)
−0.987801 + 0.155720i \(0.950230\pi\)
\(98\) 2.32260 7.15608i 0.234618 0.722873i
\(99\) −2.87397 + 10.3969i −0.288845 + 1.04493i
\(100\) 1.94504 + 0.465637i 0.194504 + 0.0465637i
\(101\) 4.59580 6.87810i 0.457299 0.684396i −0.529138 0.848536i \(-0.677485\pi\)
0.986437 + 0.164139i \(0.0524847\pi\)
\(102\) 2.33745 + 1.42302i 0.231442 + 0.140900i
\(103\) −3.98286 + 1.64975i −0.392443 + 0.162555i −0.570174 0.821524i \(-0.693124\pi\)
0.177731 + 0.984079i \(0.443124\pi\)
\(104\) 9.92480 4.58704i 0.973207 0.449796i
\(105\) 2.04124 + 0.934599i 0.199204 + 0.0912075i
\(106\) −0.373313 + 0.294492i −0.0362594 + 0.0286036i
\(107\) 15.7662 3.13610i 1.52418 0.303178i 0.639285 0.768970i \(-0.279230\pi\)
0.884895 + 0.465791i \(0.154230\pi\)
\(108\) 2.51125 + 10.0843i 0.241645 + 0.970365i
\(109\) 0.475997 0.318051i 0.0455923 0.0304638i −0.532565 0.846389i \(-0.678772\pi\)
0.578158 + 0.815925i \(0.303772\pi\)
\(110\) 0.400595 + 5.06915i 0.0381952 + 0.483324i
\(111\) 5.99428 5.57001i 0.568952 0.528682i
\(112\) −3.93810 + 3.37225i −0.372115 + 0.318647i
\(113\) −11.7543 11.7543i −1.10575 1.10575i −0.993703 0.112048i \(-0.964259\pi\)
−0.112048 0.993703i \(-0.535741\pi\)
\(114\) 12.7304 13.8526i 1.19231 1.29742i
\(115\) −3.66908 + 2.45160i −0.342143 + 0.228613i
\(116\) −11.2949 + 10.4544i −1.04871 + 0.970670i
\(117\) −1.42290 11.5092i −0.131547 1.06402i
\(118\) 1.84067 15.5948i 0.169447 1.43562i
\(119\) 1.33783 + 0.554149i 0.122639 + 0.0507987i
\(120\) 2.73624 + 4.06362i 0.249783 + 0.370956i
\(121\) −1.78157 + 0.737950i −0.161961 + 0.0670864i
\(122\) 3.76367 1.06278i 0.340747 0.0962192i
\(123\) −1.41655 + 1.96041i −0.127726 + 0.176764i
\(124\) −2.47115 + 3.40586i −0.221916 + 0.305855i
\(125\) 0.195090 0.980785i 0.0174494 0.0877241i
\(126\) 2.13245 + 5.06887i 0.189974 + 0.451571i
\(127\) 20.2578i 1.79759i 0.438372 + 0.898794i \(0.355555\pi\)
−0.438372 + 0.898794i \(0.644445\pi\)
\(128\) −11.1704 + 1.79507i −0.987333 + 0.158663i
\(129\) −14.9478 0.548396i −1.31608 0.0482835i
\(130\) −2.48344 4.87014i −0.217812 0.427139i
\(131\) 6.19162 + 1.23159i 0.540964 + 0.107604i 0.458007 0.888949i \(-0.348564\pi\)
0.0829572 + 0.996553i \(0.473564\pi\)
\(132\) −7.67938 + 9.80650i −0.668404 + 0.853546i
\(133\) 5.53095 8.27766i 0.479594 0.717764i
\(134\) −5.95181 21.0775i −0.514158 1.82082i
\(135\) 4.98992 1.44939i 0.429464 0.124744i
\(136\) 1.85981 + 2.55460i 0.159477 + 0.219056i
\(137\) −6.61336 + 15.9661i −0.565018 + 1.36407i 0.340692 + 0.940175i \(0.389339\pi\)
−0.905710 + 0.423898i \(0.860661\pi\)
\(138\) −10.6808 1.65971i −0.909213 0.141284i
\(139\) 5.63932 1.12173i 0.478321 0.0951439i 0.0499591 0.998751i \(-0.484091\pi\)
0.428362 + 0.903607i \(0.359091\pi\)
\(140\) 1.76090 + 1.90247i 0.148823 + 0.160788i
\(141\) 16.8080 10.3601i 1.41549 0.872479i
\(142\) 0.616377 0.722156i 0.0517252 0.0606020i
\(143\) 9.82818 9.82818i 0.821874 0.821874i
\(144\) −1.80029 + 11.8642i −0.150024 + 0.988682i
\(145\) 5.44140 + 5.44140i 0.451884 + 0.451884i
\(146\) −0.861918 + 0.0681140i −0.0713329 + 0.00563716i
\(147\) −4.83493 7.84406i −0.398778 0.646967i
\(148\) 8.86245 3.27602i 0.728489 0.269287i
\(149\) 0.0775078 + 0.389658i 0.00634969 + 0.0319220i 0.983830 0.179103i \(-0.0573197\pi\)
−0.977481 + 0.211026i \(0.932320\pi\)
\(150\) 1.97746 1.44556i 0.161459 0.118029i
\(151\) 20.6128 + 8.53809i 1.67744 + 0.694820i 0.999199 0.0400158i \(-0.0127408\pi\)
0.678245 + 0.734836i \(0.262741\pi\)
\(152\) 19.7200 9.11417i 1.59950 0.739257i
\(153\) 3.18210 1.05224i 0.257258 0.0850690i
\(154\) −3.21862 + 5.75160i −0.259363 + 0.463477i
\(155\) 1.74937 + 1.16889i 0.140513 + 0.0938877i
\(156\) 3.59299 12.8998i 0.287669 1.03281i
\(157\) 0.826145 4.15331i 0.0659335 0.331470i −0.933714 0.358020i \(-0.883452\pi\)
0.999647 + 0.0265496i \(0.00845201\pi\)
\(158\) 20.8233 + 6.75848i 1.65661 + 0.537676i
\(159\) −0.0213506 + 0.581959i −0.00169321 + 0.0461524i
\(160\) 1.11254 + 5.54637i 0.0879540 + 0.438479i
\(161\) −5.71967 −0.450773
\(162\) 11.4019 + 5.65648i 0.895821 + 0.444415i
\(163\) −11.2915 2.24602i −0.884420 0.175922i −0.268075 0.963398i \(-0.586387\pi\)
−0.616345 + 0.787476i \(0.711387\pi\)
\(164\) −2.38032 + 1.46077i −0.185872 + 0.114067i
\(165\) 5.04786 + 3.64748i 0.392976 + 0.283956i
\(166\) −10.6334 + 19.0016i −0.825309 + 1.47481i
\(167\) 1.95543 + 4.72083i 0.151316 + 0.365309i 0.981302 0.192475i \(-0.0616516\pi\)
−0.829986 + 0.557784i \(0.811652\pi\)
\(168\) 0.0226439 + 6.34984i 0.00174701 + 0.489901i
\(169\) −0.743492 + 1.79495i −0.0571917 + 0.138073i
\(170\) 1.24044 0.978533i 0.0951375 0.0750501i
\(171\) −2.82721 22.8680i −0.216202 1.74876i
\(172\) −15.6899 7.22089i −1.19635 0.550588i
\(173\) −11.1598 16.7019i −0.848468 1.26982i −0.961104 0.276185i \(-0.910930\pi\)
0.112637 0.993636i \(-0.464070\pi\)
\(174\) 0.795049 + 18.8328i 0.0602725 + 1.42771i
\(175\) 0.916527 0.916527i 0.0692829 0.0692829i
\(176\) −12.5395 + 7.04373i −0.945202 + 0.530941i
\(177\) −13.0915 14.0887i −0.984017 1.05897i
\(178\) 2.33454 2.73518i 0.174981 0.205010i
\(179\) 4.79841 + 7.18133i 0.358650 + 0.536758i 0.966290 0.257455i \(-0.0828838\pi\)
−0.607640 + 0.794212i \(0.707884\pi\)
\(180\) 5.96243 + 0.670400i 0.444413 + 0.0499687i
\(181\) −0.422281 2.12295i −0.0313879 0.157798i 0.961913 0.273357i \(-0.0881340\pi\)
−0.993301 + 0.115559i \(0.963134\pi\)
\(182\) 0.830583 7.03700i 0.0615669 0.521617i
\(183\) 1.99398 4.35501i 0.147399 0.321932i
\(184\) −10.6483 6.51110i −0.785000 0.480005i
\(185\) −1.80790 4.36467i −0.132920 0.320897i
\(186\) 1.21772 + 5.00768i 0.0892876 + 0.367181i
\(187\) 3.33999 + 2.23171i 0.244244 + 0.163199i
\(188\) 22.5158 3.58104i 1.64214 0.261174i
\(189\) 6.42146 + 2.03125i 0.467093 + 0.147752i
\(190\) −4.93443 9.67666i −0.357981 0.702019i
\(191\) 12.9032 0.933640 0.466820 0.884352i \(-0.345400\pi\)
0.466820 + 0.884352i \(0.345400\pi\)
\(192\) −7.18632 + 11.8472i −0.518628 + 0.855000i
\(193\) −20.0824 −1.44556 −0.722782 0.691076i \(-0.757137\pi\)
−0.722782 + 0.691076i \(0.757137\pi\)
\(194\) 1.97059 + 3.86441i 0.141480 + 0.277449i
\(195\) −6.51446 1.54609i −0.466510 0.110718i
\(196\) −1.67122 10.5078i −0.119373 0.750560i
\(197\) 10.6526 + 7.11783i 0.758966 + 0.507125i 0.873815 0.486258i \(-0.161639\pi\)
−0.114849 + 0.993383i \(0.536639\pi\)
\(198\) 3.05862 + 14.9451i 0.217367 + 1.06210i
\(199\) 2.69503 + 6.50637i 0.191045 + 0.461224i 0.990157 0.139958i \(-0.0446967\pi\)
−0.799112 + 0.601182i \(0.794697\pi\)
\(200\) 2.74964 0.662943i 0.194429 0.0468771i
\(201\) −24.3892 11.1668i −1.72028 0.787645i
\(202\) 1.37129 11.6180i 0.0964834 0.817442i
\(203\) 1.94591 + 9.78273i 0.136576 + 0.686613i
\(204\) 3.85909 + 0.291125i 0.270190 + 0.0203828i
\(205\) 0.775801 + 1.16107i 0.0541843 + 0.0810925i
\(206\) −3.95799 + 4.63724i −0.275766 + 0.323092i
\(207\) −10.0217 + 8.64979i −0.696553 + 0.601202i
\(208\) 9.55700 12.1552i 0.662659 0.842812i
\(209\) 19.5280 19.5280i 1.35078 1.35078i
\(210\) 3.17212 0.133915i 0.218897 0.00924100i
\(211\) −7.89663 11.8181i −0.543626 0.813594i 0.453347 0.891334i \(-0.350230\pi\)
−0.996974 + 0.0777396i \(0.975230\pi\)
\(212\) −0.281130 + 0.610854i −0.0193081 + 0.0419536i
\(213\) −0.184889 1.14802i −0.0126684 0.0786613i
\(214\) 17.8486 14.0800i 1.22010 0.962490i
\(215\) −3.30481 + 7.97853i −0.225386 + 0.544131i
\(216\) 9.64247 + 11.0916i 0.656087 + 0.754685i
\(217\) 1.04360 + 2.51948i 0.0708444 + 0.171034i
\(218\) 0.395362 0.706504i 0.0267773 0.0478505i
\(219\) −0.620190 + 0.858300i −0.0419085 + 0.0579985i
\(220\) 3.76135 + 6.12909i 0.253590 + 0.413223i
\(221\) −4.23562 0.842517i −0.284919 0.0566739i
\(222\) 3.97356 10.8685i 0.266688 0.729444i
\(223\) 14.4285 0.966207 0.483103 0.875563i \(-0.339510\pi\)
0.483103 + 0.875563i \(0.339510\pi\)
\(224\) −2.79499 + 6.77860i −0.186748 + 0.452914i
\(225\) 0.219829 2.99194i 0.0146553 0.199462i
\(226\) −22.3603 7.25735i −1.48739 0.482751i
\(227\) −4.30608 + 21.6481i −0.285805 + 1.43684i 0.524791 + 0.851231i \(0.324144\pi\)
−0.810595 + 0.585607i \(0.800856\pi\)
\(228\) 7.13904 25.6311i 0.472795 1.69746i
\(229\) 12.2114 + 8.15942i 0.806955 + 0.539190i 0.889252 0.457418i \(-0.151226\pi\)
−0.0822972 + 0.996608i \(0.526226\pi\)
\(230\) −3.04753 + 5.44587i −0.200948 + 0.359090i
\(231\) 2.81360 + 7.56599i 0.185121 + 0.497806i
\(232\) −7.51369 + 20.4276i −0.493298 + 1.34114i
\(233\) 9.73576 + 4.03268i 0.637811 + 0.264190i 0.678068 0.734999i \(-0.262818\pi\)
−0.0402568 + 0.999189i \(0.512818\pi\)
\(234\) −9.18667 13.5859i −0.600552 0.888137i
\(235\) −2.22391 11.1804i −0.145072 0.729327i
\(236\) −7.69981 20.8299i −0.501215 1.35591i
\(237\) 22.8252 14.0691i 1.48266 0.913883i
\(238\) 2.04150 0.161332i 0.132331 0.0104576i
\(239\) −1.27236 1.27236i −0.0823022 0.0823022i 0.664757 0.747059i \(-0.268535\pi\)
−0.747059 + 0.664757i \(0.768535\pi\)
\(240\) 6.05795 + 3.36174i 0.391039 + 0.216999i
\(241\) 2.89073 2.89073i 0.186208 0.186208i −0.607847 0.794055i \(-0.707966\pi\)
0.794055 + 0.607847i \(0.207966\pi\)
\(242\) −1.77045 + 2.07428i −0.113809 + 0.133340i
\(243\) 14.3231 6.15208i 0.918829 0.394656i
\(244\) 4.05895 3.75691i 0.259848 0.240512i
\(245\) −5.21774 + 1.03787i −0.333349 + 0.0663072i
\(246\) −0.525209 + 3.37992i −0.0334861 + 0.215496i
\(247\) −11.3621 + 27.4304i −0.722951 + 1.74536i
\(248\) −0.925237 + 5.87851i −0.0587526 + 0.373286i
\(249\) 9.29532 + 24.9958i 0.589067 + 1.58405i
\(250\) −0.384314 1.36099i −0.0243061 0.0860768i
\(251\) −1.68335 + 2.51931i −0.106252 + 0.159018i −0.880785 0.473516i \(-0.842985\pi\)
0.774533 + 0.632533i \(0.217985\pi\)
\(252\) 5.94308 + 5.01611i 0.374379 + 0.315985i
\(253\) −15.5617 3.09541i −0.978354 0.194607i
\(254\) 13.0145 + 25.5221i 0.816604 + 1.60140i
\(255\) 0.0709436 1.93373i 0.00444266 0.121095i
\(256\) −12.9200 + 9.43792i −0.807498 + 0.589870i
\(257\) 3.59905i 0.224502i 0.993680 + 0.112251i \(0.0358061\pi\)
−0.993680 + 0.112251i \(0.964194\pi\)
\(258\) −19.1845 + 8.91222i −1.19437 + 0.554850i
\(259\) 1.19462 6.00578i 0.0742304 0.373181i
\(260\) −6.25760 4.54025i −0.388080 0.281574i
\(261\) 18.2038 + 14.1979i 1.12679 + 0.878829i
\(262\) 8.59184 2.42614i 0.530806 0.149887i
\(263\) −11.3711 + 4.71008i −0.701175 + 0.290436i −0.704647 0.709558i \(-0.748895\pi\)
0.00347235 + 0.999994i \(0.498895\pi\)
\(264\) −3.37484 + 17.2885i −0.207707 + 1.06403i
\(265\) 0.310627 + 0.128666i 0.0190817 + 0.00790389i
\(266\) 1.65032 13.9821i 0.101187 0.857296i
\(267\) −0.700270 4.34816i −0.0428558 0.266103i
\(268\) −21.0396 22.7311i −1.28520 1.38852i
\(269\) −6.99023 + 4.67072i −0.426202 + 0.284779i −0.750114 0.661308i \(-0.770002\pi\)
0.323913 + 0.946087i \(0.395002\pi\)
\(270\) 5.35547 5.03179i 0.325924 0.306225i
\(271\) −15.4182 15.4182i −0.936588 0.936588i 0.0615180 0.998106i \(-0.480406\pi\)
−0.998106 + 0.0615180i \(0.980406\pi\)
\(272\) 3.98430 + 2.02364i 0.241584 + 0.122701i
\(273\) −5.90741 6.35738i −0.357533 0.384766i
\(274\) 1.92538 + 24.3638i 0.116316 + 1.47187i
\(275\) 2.98963 1.99761i 0.180282 0.120460i
\(276\) −14.5227 + 4.77085i −0.874164 + 0.287171i
\(277\) −14.8237 + 2.94862i −0.890672 + 0.177166i −0.619156 0.785268i \(-0.712525\pi\)
−0.271516 + 0.962434i \(0.587525\pi\)
\(278\) 6.38414 5.03619i 0.382895 0.302050i
\(279\) 5.63872 + 2.83625i 0.337582 + 0.169802i
\(280\) 3.44074 + 1.26558i 0.205623 + 0.0756326i
\(281\) 9.82990 4.07168i 0.586403 0.242896i −0.0696995 0.997568i \(-0.522204\pi\)
0.656102 + 0.754672i \(0.272204\pi\)
\(282\) 14.5200 23.8506i 0.864652 1.42028i
\(283\) −5.30360 + 7.93740i −0.315266 + 0.471829i −0.954932 0.296824i \(-0.904073\pi\)
0.639666 + 0.768653i \(0.279073\pi\)
\(284\) 0.312607 1.30581i 0.0185498 0.0774855i
\(285\) −12.9438 3.07198i −0.766726 0.181968i
\(286\) 6.06812 18.6963i 0.358816 1.10553i
\(287\) 1.80997i 0.106839i
\(288\) 5.35398 + 16.1039i 0.315486 + 0.948930i
\(289\) 15.7519i 0.926582i
\(290\) 10.3512 + 3.35963i 0.607846 + 0.197285i
\(291\) 5.16917 + 1.22681i 0.303022 + 0.0719168i
\(292\) −1.04214 + 0.639550i −0.0609868 + 0.0374268i
\(293\) −4.45871 + 6.67293i −0.260481 + 0.389837i −0.938540 0.345170i \(-0.887821\pi\)
0.678059 + 0.735007i \(0.262821\pi\)
\(294\) −11.1308 6.77629i −0.649159 0.395201i
\(295\) −10.2585 + 4.24921i −0.597273 + 0.247399i
\(296\) 9.06083 9.82099i 0.526650 0.570834i
\(297\) 16.3718 + 9.00169i 0.949987 + 0.522331i
\(298\) 0.347984 + 0.441123i 0.0201582 + 0.0255535i
\(299\) 16.7302 3.32784i 0.967532 0.192454i
\(300\) 1.56265 3.09162i 0.0902196 0.178495i
\(301\) −9.30709 + 6.21880i −0.536452 + 0.358446i
\(302\) 31.4546 2.48574i 1.81001 0.143038i
\(303\) −9.75310 10.4960i −0.560301 0.602979i
\(304\) 18.9892 24.1516i 1.08910 1.38519i
\(305\) −1.95542 1.95542i −0.111967 0.111967i
\(306\) 3.33301 3.37002i 0.190536 0.192651i
\(307\) −16.4135 + 10.9672i −0.936770 + 0.625929i −0.927418 0.374027i \(-0.877977\pi\)
−0.00935169 + 0.999956i \(0.502977\pi\)
\(308\) −0.359935 + 9.31403i −0.0205092 + 0.530716i
\(309\) 1.18724 + 7.37190i 0.0675398 + 0.419373i
\(310\) 2.95493 + 0.348773i 0.167828 + 0.0198089i
\(311\) 13.1454 + 5.44500i 0.745407 + 0.308758i 0.722866 0.690988i \(-0.242824\pi\)
0.0225410 + 0.999746i \(0.492824\pi\)
\(312\) −3.76073 18.5603i −0.212909 1.05077i
\(313\) 18.7559 7.76897i 1.06015 0.439128i 0.216645 0.976251i \(-0.430489\pi\)
0.843504 + 0.537123i \(0.180489\pi\)
\(314\) −1.62744 5.76337i −0.0918420 0.325246i
\(315\) 2.39144 3.06617i 0.134742 0.172759i
\(316\) 30.5765 4.86306i 1.72006 0.273568i
\(317\) 3.27284 16.4537i 0.183821 0.924129i −0.773212 0.634148i \(-0.781351\pi\)
0.957032 0.289981i \(-0.0936491\pi\)
\(318\) 0.346978 + 0.746907i 0.0194576 + 0.0418845i
\(319\) 27.6693i 1.54918i
\(320\) 4.96490 + 6.27294i 0.277546 + 0.350668i
\(321\) 1.02080 27.8242i 0.0569755 1.55300i
\(322\) −7.20602 + 3.67458i −0.401576 + 0.204776i
\(323\) −8.41592 1.67403i −0.468274 0.0931455i
\(324\) 17.9989 0.198720i 0.999939 0.0110400i
\(325\) −2.14761 + 3.21413i −0.119128 + 0.178288i
\(326\) −15.6688 + 4.42450i −0.867812 + 0.245050i
\(327\) −0.345612 0.929377i −0.0191124 0.0513947i
\(328\) −2.06042 + 3.36961i −0.113768 + 0.186055i
\(329\) 5.65434 13.6508i 0.311734 0.752592i
\(330\) 8.70295 + 1.35236i 0.479081 + 0.0744451i
\(331\) 3.53128 0.702415i 0.194097 0.0386082i −0.0970846 0.995276i \(-0.530952\pi\)
0.291181 + 0.956668i \(0.405952\pi\)
\(332\) −1.18912 + 30.7708i −0.0652614 + 1.68877i
\(333\) −6.98933 12.3296i −0.383013 0.675657i
\(334\) 5.49646 + 4.69136i 0.300753 + 0.256700i
\(335\) −10.9509 + 10.9509i −0.598309 + 0.598309i
\(336\) 4.10796 + 7.98541i 0.224107 + 0.435640i
\(337\) −14.7361 14.7361i −0.802727 0.802727i 0.180794 0.983521i \(-0.442133\pi\)
−0.983521 + 0.180794i \(0.942133\pi\)
\(338\) 0.216456 + 2.73905i 0.0117737 + 0.148985i
\(339\) −24.5101 + 15.1075i −1.33120 + 0.820529i
\(340\) 0.934135 2.02974i 0.0506606 0.110078i
\(341\) 1.47585 + 7.41962i 0.0799219 + 0.401795i
\(342\) −18.2534 26.9943i −0.987028 1.45968i
\(343\) −14.7531 6.11095i −0.796595 0.329961i
\(344\) −24.4062 + 0.982566i −1.31590 + 0.0529764i
\(345\) 2.66404 + 7.16382i 0.143427 + 0.385687i
\(346\) −24.7900 13.8726i −1.33272 0.745793i
\(347\) −6.24124 4.17026i −0.335047 0.223872i 0.376653 0.926354i \(-0.377075\pi\)
−0.711701 + 0.702483i \(0.752075\pi\)
\(348\) 13.1007 + 23.2160i 0.702271 + 1.24451i
\(349\) −0.458337 + 2.30421i −0.0245342 + 0.123342i −0.991112 0.133033i \(-0.957528\pi\)
0.966577 + 0.256375i \(0.0825282\pi\)
\(350\) 0.565883 1.74352i 0.0302477 0.0931951i
\(351\) −19.9648 2.20529i −1.06564 0.117710i
\(352\) −11.2729 + 16.9301i −0.600848 + 0.902378i
\(353\) −9.10603 −0.484665 −0.242332 0.970193i \(-0.577912\pi\)
−0.242332 + 0.970193i \(0.577912\pi\)
\(354\) −25.5447 9.33927i −1.35769 0.496376i
\(355\) −0.658453 0.130974i −0.0349471 0.00695140i
\(356\) 1.18400 4.94577i 0.0627520 0.262125i
\(357\) 1.46895 2.03293i 0.0777453 0.107594i
\(358\) 10.6590 + 5.96480i 0.563344 + 0.315249i
\(359\) 10.0353 + 24.2274i 0.529644 + 1.27867i 0.931756 + 0.363084i \(0.118276\pi\)
−0.402112 + 0.915591i \(0.631724\pi\)
\(360\) 7.94256 2.98592i 0.418610 0.157372i
\(361\) −15.3047 + 36.9489i −0.805512 + 1.94468i
\(362\) −1.89590 2.40334i −0.0996463 0.126317i
\(363\) 0.531064 + 3.29752i 0.0278737 + 0.173075i
\(364\) −3.47447 9.39928i −0.182111 0.492656i
\(365\) 0.339658 + 0.508334i 0.0177785 + 0.0266074i
\(366\) −0.285709 6.76776i −0.0149343 0.353756i
\(367\) −13.5394 + 13.5394i −0.706751 + 0.706751i −0.965851 0.259100i \(-0.916574\pi\)
0.259100 + 0.965851i \(0.416574\pi\)
\(368\) −17.5984 1.36219i −0.917381 0.0710092i
\(369\) 2.73720 + 3.17132i 0.142493 + 0.165092i
\(370\) −5.08178 4.33742i −0.264189 0.225491i
\(371\) 0.242116 + 0.362352i 0.0125700 + 0.0188124i
\(372\) 4.75133 + 5.52669i 0.246345 + 0.286545i
\(373\) 3.03848 + 15.2755i 0.157326 + 0.790934i 0.976185 + 0.216939i \(0.0696071\pi\)
−0.818859 + 0.573995i \(0.805393\pi\)
\(374\) 5.64169 + 0.665893i 0.291725 + 0.0344325i
\(375\) −1.57483 0.721050i −0.0813238 0.0372348i
\(376\) 26.0663 18.9768i 1.34427 0.978655i
\(377\) −11.3837 27.4826i −0.586288 1.41543i
\(378\) 9.39515 1.56634i 0.483234 0.0805639i
\(379\) −10.4433 6.97800i −0.536437 0.358436i 0.257652 0.966238i \(-0.417051\pi\)
−0.794088 + 0.607802i \(0.792051\pi\)
\(380\) −12.4335 9.02119i −0.637823 0.462777i
\(381\) 34.1392 + 8.10232i 1.74900 + 0.415094i
\(382\) 16.2563 8.28958i 0.831742 0.424132i
\(383\) 5.63992 0.288186 0.144093 0.989564i \(-0.453974\pi\)
0.144093 + 0.989564i \(0.453974\pi\)
\(384\) −1.44260 + 19.5427i −0.0736175 + 0.997287i
\(385\) 4.66049 0.237521
\(386\) −25.3012 + 12.9019i −1.28780 + 0.656687i
\(387\) −6.90270 + 24.9712i −0.350884 + 1.26936i
\(388\) 4.96535 + 3.60265i 0.252078 + 0.182897i
\(389\) −21.2782 14.2176i −1.07885 0.720863i −0.116639 0.993174i \(-0.537212\pi\)
−0.962209 + 0.272311i \(0.912212\pi\)
\(390\) −9.20062 + 2.23732i −0.465892 + 0.113291i
\(391\) 1.88659 + 4.55462i 0.0954088 + 0.230337i
\(392\) −8.85624 12.1648i −0.447308 0.614416i
\(393\) 4.55193 9.94177i 0.229614 0.501496i
\(394\) 17.9937 + 2.12381i 0.906508 + 0.106996i
\(395\) −3.02008 15.1830i −0.151957 0.763938i
\(396\) 13.4549 + 16.8638i 0.676132 + 0.847438i
\(397\) 4.71661 + 7.05890i 0.236720 + 0.354276i 0.930741 0.365678i \(-0.119163\pi\)
−0.694022 + 0.719954i \(0.744163\pi\)
\(398\) 7.57536 + 6.46575i 0.379719 + 0.324099i
\(399\) −11.7377 12.6317i −0.587618 0.632377i
\(400\) 3.03827 2.60171i 0.151914 0.130086i
\(401\) −15.5807 + 15.5807i −0.778062 + 0.778062i −0.979501 0.201439i \(-0.935438\pi\)
0.201439 + 0.979501i \(0.435438\pi\)
\(402\) −37.9011 + 1.60004i −1.89034 + 0.0798029i
\(403\) −4.51847 6.76237i −0.225081 0.336857i
\(404\) −5.73632 15.5182i −0.285393 0.772057i
\(405\) −0.446804 8.98890i −0.0222019 0.446662i
\(406\) 8.73645 + 11.0748i 0.433583 + 0.549633i
\(407\) 6.50050 15.6936i 0.322218 0.777903i
\(408\) 5.04897 2.11248i 0.249961 0.104583i
\(409\) −5.40284 13.0436i −0.267153 0.644965i 0.732194 0.681096i \(-0.238496\pi\)
−0.999347 + 0.0361316i \(0.988496\pi\)
\(410\) 1.72333 + 0.964381i 0.0851091 + 0.0476274i
\(411\) 24.2616 + 17.5309i 1.19673 + 0.864736i
\(412\) −2.00737 + 8.38510i −0.0988958 + 0.413104i
\(413\) −14.1157 2.80779i −0.694589 0.138162i
\(414\) −7.06892 + 17.3359i −0.347419 + 0.852015i
\(415\) 15.3969 0.755804
\(416\) 4.23149 21.4538i 0.207466 1.05186i
\(417\) 0.365123 9.95225i 0.0178802 0.487364i
\(418\) 12.0570 37.1483i 0.589726 1.81698i
\(419\) 4.93354 24.8026i 0.241019 1.21169i −0.650784 0.759263i \(-0.725560\pi\)
0.891804 0.452423i \(-0.149440\pi\)
\(420\) 3.91041 2.20663i 0.190808 0.107672i
\(421\) 1.82362 + 1.21850i 0.0888778 + 0.0593863i 0.599215 0.800588i \(-0.295479\pi\)
−0.510337 + 0.859974i \(0.670479\pi\)
\(422\) −17.5412 9.81612i −0.853893 0.477841i
\(423\) −10.7367 32.4691i −0.522038 1.57870i
\(424\) 0.0382541 + 0.950205i 0.00185778 + 0.0461460i
\(425\) −1.03215 0.427530i −0.0500665 0.0207382i
\(426\) −0.970479 1.32758i −0.0470199 0.0643213i
\(427\) −0.699281 3.51552i −0.0338406 0.170128i
\(428\) 13.4412 29.2057i 0.649704 1.41171i
\(429\) −12.6320 20.4937i −0.609876 0.989446i
\(430\) 0.962146 + 12.1750i 0.0463988 + 0.587133i
\(431\) 20.3007 + 20.3007i 0.977850 + 0.977850i 0.999760 0.0219097i \(-0.00697462\pi\)
−0.0219097 + 0.999760i \(0.506975\pi\)
\(432\) 19.2740 + 7.77912i 0.927318 + 0.374273i
\(433\) −12.3204 + 12.3204i −0.592078 + 0.592078i −0.938192 0.346114i \(-0.887501\pi\)
0.346114 + 0.938192i \(0.387501\pi\)
\(434\) 2.93343 + 2.50375i 0.140809 + 0.120184i
\(435\) 11.3464 6.99372i 0.544019 0.335323i
\(436\) 0.0442130 1.14410i 0.00211742 0.0547924i
\(437\) 33.2419 6.61222i 1.59017 0.316305i
\(438\) −0.229945 + 1.47978i −0.0109872 + 0.0707067i
\(439\) −3.13414 + 7.56649i −0.149584 + 0.361129i −0.980855 0.194739i \(-0.937614\pi\)
0.831271 + 0.555868i \(0.187614\pi\)
\(440\) 8.67640 + 5.30537i 0.413631 + 0.252924i
\(441\) −15.1529 + 5.01070i −0.721567 + 0.238605i
\(442\) −5.87759 + 1.65970i −0.279568 + 0.0789437i
\(443\) 3.84105 5.74854i 0.182494 0.273121i −0.728932 0.684586i \(-0.759983\pi\)
0.911425 + 0.411465i \(0.134983\pi\)
\(444\) −1.97625 16.2456i −0.0937887 0.770983i
\(445\) −2.49390 0.496068i −0.118222 0.0235159i
\(446\) 18.1780 9.26956i 0.860755 0.438926i
\(447\) 0.687667 + 0.0252288i 0.0325255 + 0.00119328i
\(448\) 0.833562 + 10.3358i 0.0393821 + 0.488319i
\(449\) 19.0736i 0.900141i 0.892993 + 0.450071i \(0.148601\pi\)
−0.892993 + 0.450071i \(0.851399\pi\)
\(450\) −1.64520 3.91067i −0.0775555 0.184351i
\(451\) −0.979532 + 4.92444i −0.0461244 + 0.231883i
\(452\) −32.8335 + 5.22202i −1.54436 + 0.245623i
\(453\) 22.6330 31.3226i 1.06339 1.47166i
\(454\) 8.48267 + 30.0402i 0.398111 + 1.40986i
\(455\) −4.62905 + 1.91742i −0.217013 + 0.0898899i
\(456\) −7.47234 36.8782i −0.349924 1.72698i
\(457\) −9.17252 3.79938i −0.429072 0.177728i 0.157687 0.987489i \(-0.449596\pi\)
−0.586759 + 0.809762i \(0.699596\pi\)
\(458\) 20.6268 + 2.43460i 0.963826 + 0.113761i
\(459\) −0.500568 5.78346i −0.0233645 0.269949i
\(460\) −0.340802 + 8.81894i −0.0158900 + 0.411185i
\(461\) −27.3745 + 18.2911i −1.27496 + 0.851900i −0.994165 0.107868i \(-0.965598\pi\)
−0.280794 + 0.959768i \(0.590598\pi\)
\(462\) 8.40550 + 7.72455i 0.391059 + 0.359379i
\(463\) 4.58235 + 4.58235i 0.212960 + 0.212960i 0.805524 0.592564i \(-0.201884\pi\)
−0.592564 + 0.805524i \(0.701884\pi\)
\(464\) 3.65736 + 30.5632i 0.169789 + 1.41886i
\(465\) 2.66954 2.48060i 0.123797 0.115035i
\(466\) 14.8565 1.17405i 0.688216 0.0543870i
\(467\) 29.8830 19.9672i 1.38282 0.923971i 0.382821 0.923823i \(-0.374953\pi\)
1.00000 0.000148569i \(-4.72909e-5\pi\)
\(468\) −20.3022 11.2145i −0.938468 0.518388i
\(469\) −19.6878 + 3.91615i −0.909099 + 0.180831i
\(470\) −9.98462 12.6570i −0.460556 0.583825i
\(471\) −6.66890 3.05341i −0.307286 0.140694i
\(472\) −23.0828 21.2961i −1.06247 0.980235i
\(473\) −28.6876 + 11.8828i −1.31906 + 0.546372i
\(474\) 19.7182 32.3891i 0.905685 1.48768i
\(475\) −4.26717 + 6.38627i −0.195791 + 0.293022i
\(476\) 2.46837 1.51481i 0.113138 0.0694313i
\(477\) 0.972201 + 0.268742i 0.0445140 + 0.0123048i
\(478\) −2.42043 0.785582i −0.110708 0.0359317i
\(479\) 18.4346i 0.842298i 0.906991 + 0.421149i \(0.138373\pi\)
−0.906991 + 0.421149i \(0.861627\pi\)
\(480\) 9.79194 + 0.343437i 0.446939 + 0.0156757i
\(481\) 18.2622i 0.832683i
\(482\) 1.78479 5.49906i 0.0812951 0.250475i
\(483\) −2.28764 + 9.63901i −0.104091 + 0.438590i
\(484\) −0.897914 + 3.75073i −0.0408143 + 0.170488i
\(485\) 1.70411 2.55038i 0.0773797 0.115807i
\(486\) 14.0929 16.9526i 0.639265 0.768987i
\(487\) 19.2003 7.95304i 0.870050 0.360387i 0.0974205 0.995243i \(-0.468941\pi\)
0.772630 + 0.634857i \(0.218941\pi\)
\(488\) 2.70012 7.34086i 0.122229 0.332305i
\(489\) −8.30125 + 18.1306i −0.375396 + 0.819894i
\(490\) −5.90687 + 4.65969i −0.266845 + 0.210503i
\(491\) −5.98858 + 1.19120i −0.270261 + 0.0537582i −0.328360 0.944553i \(-0.606496\pi\)
0.0580994 + 0.998311i \(0.481496\pi\)
\(492\) 1.50972 + 4.59566i 0.0680634 + 0.207188i
\(493\) 7.14823 4.77630i 0.321940 0.215114i
\(494\) 3.30789 + 41.8582i 0.148829 + 1.88329i
\(495\) 8.16583 7.04801i 0.367027 0.316784i
\(496\) 2.61095 + 8.00055i 0.117235 + 0.359235i
\(497\) −0.615313 0.615313i −0.0276006 0.0276006i
\(498\) 27.7693 + 25.5197i 1.24437 + 1.14356i
\(499\) 14.2646 9.53131i 0.638572 0.426680i −0.193690 0.981063i \(-0.562046\pi\)
0.832262 + 0.554383i \(0.187046\pi\)
\(500\) −1.35855 1.46777i −0.0607561 0.0656406i
\(501\) 8.73783 1.40722i 0.390377 0.0628701i
\(502\) −0.502276 + 4.25546i −0.0224177 + 0.189930i
\(503\) −28.3518 11.7437i −1.26415 0.523626i −0.352966 0.935636i \(-0.614827\pi\)
−0.911179 + 0.412010i \(0.864827\pi\)
\(504\) 10.7101 + 2.50153i 0.477064 + 0.111427i
\(505\) −7.64253 + 3.16564i −0.340088 + 0.140869i
\(506\) −21.5943 + 6.09773i −0.959982 + 0.271077i
\(507\) 2.72755 + 1.97087i 0.121135 + 0.0875295i
\(508\) 32.7931 + 23.7933i 1.45496 + 1.05566i
\(509\) −6.05885 + 30.4599i −0.268554 + 1.35011i 0.577228 + 0.816583i \(0.304134\pi\)
−0.845782 + 0.533528i \(0.820866\pi\)
\(510\) −1.15294 2.48182i −0.0510528 0.109897i
\(511\) 0.792434i 0.0350552i
\(512\) −10.2141 + 20.1909i −0.451403 + 0.892320i
\(513\) −39.6688 4.38178i −1.75142 0.193460i
\(514\) 2.31219 + 4.53432i 0.101986 + 0.200000i
\(515\) 4.22818 + 0.841037i 0.186316 + 0.0370605i
\(516\) −18.4443 + 23.5532i −0.811964 + 1.03687i
\(517\) 22.7716 34.0801i 1.00149 1.49884i
\(518\) −2.35332 8.33397i −0.103399 0.366173i
\(519\) −32.6102 + 12.1269i −1.43143 + 0.532312i
\(520\) −10.8006 1.69994i −0.473638 0.0745473i
\(521\) −10.4188 + 25.1533i −0.456457 + 1.10198i 0.513365 + 0.858170i \(0.328399\pi\)
−0.969822 + 0.243814i \(0.921601\pi\)
\(522\) 32.0558 + 6.19253i 1.40304 + 0.271040i
\(523\) 36.0659 7.17394i 1.57705 0.313695i 0.672511 0.740087i \(-0.265216\pi\)
0.904538 + 0.426392i \(0.140216\pi\)
\(524\) 9.26591 8.57640i 0.404783 0.374662i
\(525\) −1.17799 1.91114i −0.0514118 0.0834091i
\(526\) −11.3002 + 13.2394i −0.492710 + 0.577266i
\(527\) 1.66206 1.66206i 0.0724006 0.0724006i
\(528\) 6.85505 + 23.9493i 0.298328 + 1.04226i
\(529\) 2.49433 + 2.49433i 0.108449 + 0.108449i
\(530\) 0.474009 0.0374591i 0.0205897 0.00162712i
\(531\) −28.9789 + 16.4274i −1.25758 + 0.712888i
\(532\) −6.90355 18.6758i −0.299307 0.809698i
\(533\) −1.05309 5.29422i −0.0456142 0.229318i
\(534\) −3.67571 5.02822i −0.159063 0.217592i
\(535\) −14.8515 6.15168i −0.642085 0.265960i
\(536\) −41.1107 15.1214i −1.77571 0.653143i
\(537\) 14.0214 5.21422i 0.605069 0.225010i
\(538\) −5.80607 + 10.3753i −0.250317 + 0.447312i
\(539\) −15.9047 10.6272i −0.685065 0.457746i
\(540\) 3.51452 9.77999i 0.151241 0.420864i
\(541\) −2.71208 + 13.6346i −0.116602 + 0.586195i 0.877666 + 0.479273i \(0.159100\pi\)
−0.994267 + 0.106922i \(0.965900\pi\)
\(542\) −29.3302 9.51951i −1.25984 0.408898i
\(543\) −3.74658 0.137453i −0.160781 0.00589866i
\(544\) 6.31977 0.0101873i 0.270958 0.000436776i
\(545\) −0.572477 −0.0245222
\(546\) −11.5268 4.21426i −0.493303 0.180353i
\(547\) −19.5254 3.88384i −0.834846 0.166061i −0.240884 0.970554i \(-0.577437\pi\)
−0.593962 + 0.804493i \(0.702437\pi\)
\(548\) 18.0782 + 29.4582i 0.772261 + 1.25839i
\(549\) −6.54172 5.10217i −0.279194 0.217755i
\(550\) 2.48318 4.43740i 0.105883 0.189211i
\(551\) −22.6186 54.6062i −0.963586 2.32630i
\(552\) −15.2317 + 15.3407i −0.648302 + 0.652942i
\(553\) 7.67861 18.5378i 0.326528 0.788307i
\(554\) −16.7816 + 13.2383i −0.712982 + 0.562442i
\(555\) −8.07860 + 1.30105i −0.342917 + 0.0552267i
\(556\) 4.80768 10.4464i 0.203891 0.443025i
\(557\) 15.8638 + 23.7419i 0.672172 + 1.00598i 0.998162 + 0.0606034i \(0.0193025\pi\)
−0.325990 + 0.945373i \(0.605697\pi\)
\(558\) 8.92618 0.0492740i 0.377875 0.00208593i
\(559\) 23.6053 23.6053i 0.998397 0.998397i
\(560\) 5.14793 0.616030i 0.217540 0.0260320i
\(561\) 5.09682 4.73608i 0.215188 0.199957i
\(562\) 9.76853 11.4449i 0.412061 0.482776i
\(563\) 11.2835 + 16.8869i 0.475542 + 0.711699i 0.989245 0.146269i \(-0.0467266\pi\)
−0.513703 + 0.857968i \(0.671727\pi\)
\(564\) 2.97054 39.3768i 0.125082 1.65806i
\(565\) 3.24300 + 16.3037i 0.136434 + 0.685901i
\(566\) −1.58248 + 13.4073i −0.0665166 + 0.563553i
\(567\) 5.99147 10.0093i 0.251618 0.420350i
\(568\) −0.445069 1.84598i −0.0186747 0.0774555i
\(569\) 14.6124 + 35.2774i 0.612582 + 1.47890i 0.860154 + 0.510035i \(0.170367\pi\)
−0.247572 + 0.968870i \(0.579633\pi\)
\(570\) −18.2811 + 4.44542i −0.765709 + 0.186198i
\(571\) −27.9452 18.6724i −1.16947 0.781416i −0.189761 0.981830i \(-0.560771\pi\)
−0.979711 + 0.200414i \(0.935771\pi\)
\(572\) −4.36631 27.4532i −0.182565 1.14788i
\(573\) 5.16076 21.7449i 0.215594 0.908407i
\(574\) 1.16281 + 2.28032i 0.0485347 + 0.0951788i
\(575\) 4.41276 0.184025
\(576\) 17.0912 + 16.8491i 0.712132 + 0.702046i
\(577\) −19.5699 −0.814705 −0.407352 0.913271i \(-0.633548\pi\)
−0.407352 + 0.913271i \(0.633548\pi\)
\(578\) 10.1197 + 19.8453i 0.420925 + 0.825455i
\(579\) −8.03218 + 33.8437i −0.333806 + 1.40650i
\(580\) 15.1996 2.41742i 0.631128 0.100378i
\(581\) 16.5936 + 11.0875i 0.688418 + 0.459986i
\(582\) 7.30062 1.77530i 0.302620 0.0735884i
\(583\) 0.462632 + 1.11689i 0.0191602 + 0.0462569i
\(584\) −0.902084 + 1.47527i −0.0373285 + 0.0610470i
\(585\) −5.21105 + 10.3600i −0.215451 + 0.428335i
\(586\) −1.33038 + 11.2715i −0.0549576 + 0.465621i
\(587\) −5.10802 25.6797i −0.210830 1.05992i −0.930694 0.365800i \(-0.880795\pi\)
0.719863 0.694116i \(-0.244205\pi\)
\(588\) −18.3767 1.38631i −0.757840 0.0571706i
\(589\) −8.97792 13.4364i −0.369929 0.553637i
\(590\) −10.1945 + 11.9440i −0.419699 + 0.491725i
\(591\) 16.2559 15.1053i 0.668677 0.621349i
\(592\) 5.10598 18.1942i 0.209855 0.747778i
\(593\) −6.07330 + 6.07330i −0.249401 + 0.249401i −0.820725 0.571324i \(-0.806430\pi\)
0.571324 + 0.820725i \(0.306430\pi\)
\(594\) 26.4094 + 0.822942i 1.08359 + 0.0337657i
\(595\) −0.804499 1.20402i −0.0329813 0.0493599i
\(596\) 0.721810 + 0.332195i 0.0295665 + 0.0136072i
\(597\) 12.0427 1.93947i 0.492875 0.0793772i
\(598\) 18.9399 14.9409i 0.774508 0.610978i
\(599\) 14.3951 34.7529i 0.588169 1.41997i −0.297082 0.954852i \(-0.596013\pi\)
0.885251 0.465114i \(-0.153987\pi\)
\(600\) −0.0174699 4.89895i −0.000713207 0.199999i
\(601\) 0.219555 + 0.530053i 0.00895584 + 0.0216213i 0.928294 0.371847i \(-0.121275\pi\)
−0.919338 + 0.393468i \(0.871275\pi\)
\(602\) −7.73045 + 13.8142i −0.315070 + 0.563023i
\(603\) −28.5734 + 36.6353i −1.16360 + 1.49190i
\(604\) 38.0317 23.3396i 1.54749 0.949674i
\(605\) 1.89130 + 0.376204i 0.0768924 + 0.0152949i
\(606\) −19.0307 6.95771i −0.773070 0.282638i
\(607\) −41.8404 −1.69825 −0.849125 0.528192i \(-0.822870\pi\)
−0.849125 + 0.528192i \(0.822870\pi\)
\(608\) 8.40770 42.6274i 0.340977 1.72877i
\(609\) 17.2645 + 0.633392i 0.699594 + 0.0256663i
\(610\) −3.71983 1.20732i −0.150611 0.0488829i
\(611\) −8.59676 + 43.2188i −0.347788 + 1.74845i
\(612\) 2.03410 6.38705i 0.0822236 0.258181i
\(613\) 23.6404 + 15.7960i 0.954827 + 0.637995i 0.932275 0.361750i \(-0.117821\pi\)
0.0225524 + 0.999746i \(0.492821\pi\)
\(614\) −13.6330 + 24.3620i −0.550185 + 0.983169i
\(615\) 2.26697 0.843028i 0.0914130 0.0339942i
\(616\) 5.53029 + 11.9657i 0.222822 + 0.482111i
\(617\) −5.26194 2.17957i −0.211838 0.0877461i 0.274241 0.961661i \(-0.411573\pi\)
−0.486079 + 0.873915i \(0.661573\pi\)
\(618\) 6.23181 + 8.52488i 0.250680 + 0.342921i
\(619\) −3.70342 18.6184i −0.148853 0.748335i −0.981035 0.193832i \(-0.937908\pi\)
0.832182 0.554503i \(-0.187092\pi\)
\(620\) 3.94688 1.45897i 0.158510 0.0585937i
\(621\) 10.5687 + 20.3485i 0.424107 + 0.816555i
\(622\) 20.0596 1.58523i 0.804315 0.0635619i
\(623\) −2.33051 2.33051i −0.0933699 0.0933699i
\(624\) −16.6620 20.9674i −0.667014 0.839370i
\(625\) −0.707107 + 0.707107i −0.0282843 + 0.0282843i
\(626\) 18.6388 21.8375i 0.744958 0.872804i
\(627\) −25.0989 40.7198i −1.00235 1.62619i
\(628\) −5.75301 6.21553i −0.229570 0.248027i
\(629\) −5.17650 + 1.02967i −0.206401 + 0.0410556i
\(630\) 1.04304 5.39934i 0.0415559 0.215115i
\(631\) −2.32149 + 5.60458i −0.0924172 + 0.223115i −0.963328 0.268326i \(-0.913530\pi\)
0.870911 + 0.491441i \(0.163530\pi\)
\(632\) 35.3981 25.7706i 1.40806 1.02510i
\(633\) −23.0747 + 8.58091i −0.917138 + 0.341061i
\(634\) −6.44725 22.8320i −0.256053 0.906776i
\(635\) 11.2546 16.8437i 0.446626 0.668423i
\(636\) 0.916994 + 0.718089i 0.0363612 + 0.0284741i
\(637\) 20.1697 + 4.01200i 0.799151 + 0.158961i
\(638\) 17.7760 + 34.8596i 0.703758 + 1.38010i
\(639\) −2.00864 0.147583i −0.0794607 0.00583829i
\(640\) 10.2851 + 4.71340i 0.406555 + 0.186313i
\(641\) 24.4237i 0.964680i −0.875984 0.482340i \(-0.839787\pi\)
0.875984 0.482340i \(-0.160213\pi\)
\(642\) −16.5895 35.7106i −0.654734 1.40938i
\(643\) 4.30232 21.6292i 0.169667 0.852974i −0.798370 0.602167i \(-0.794304\pi\)
0.968037 0.250807i \(-0.0806959\pi\)
\(644\) −6.71790 + 9.25895i −0.264723 + 0.364854i
\(645\) 12.1239 + 8.76050i 0.477379 + 0.344944i
\(646\) −11.6784 + 3.29772i −0.459481 + 0.129747i
\(647\) −30.4530 + 12.6140i −1.19723 + 0.495909i −0.890103 0.455759i \(-0.849368\pi\)
−0.307128 + 0.951668i \(0.599368\pi\)
\(648\) 22.5485 11.8137i 0.885791 0.464085i
\(649\) −36.8855 15.2785i −1.44788 0.599732i
\(650\) −0.640801 + 5.42909i −0.0251343 + 0.212947i
\(651\) 4.66333 0.751028i 0.182770 0.0294351i
\(652\) −16.8980 + 15.6406i −0.661778 + 0.612533i
\(653\) −14.4081 + 9.62719i −0.563833 + 0.376741i −0.804578 0.593847i \(-0.797608\pi\)
0.240745 + 0.970588i \(0.422608\pi\)
\(654\) −1.03250 0.948854i −0.0403739 0.0371031i
\(655\) −4.46391 4.46391i −0.174419 0.174419i
\(656\) −0.431061 + 5.56896i −0.0168301 + 0.217431i
\(657\) 1.19839 + 1.38845i 0.0467536 + 0.0541688i
\(658\) −1.64618 20.8308i −0.0641746 0.812068i
\(659\) −10.3756 + 6.93278i −0.404178 + 0.270063i −0.741000 0.671506i \(-0.765648\pi\)
0.336822 + 0.941568i \(0.390648\pi\)
\(660\) 11.8334 3.88737i 0.460613 0.151316i
\(661\) −29.5506 + 5.87797i −1.14938 + 0.228627i −0.732783 0.680463i \(-0.761779\pi\)
−0.416601 + 0.909089i \(0.636779\pi\)
\(662\) 3.99768 3.15360i 0.155374 0.122568i
\(663\) −3.11393 + 6.80106i −0.120935 + 0.264131i
\(664\) 18.2705 + 39.5311i 0.709032 + 1.53410i
\(665\) −9.19764 + 3.80979i −0.356669 + 0.147737i
\(666\) −16.7267 11.0434i −0.648147 0.427922i
\(667\) −18.8658 + 28.2347i −0.730487 + 1.09325i
\(668\) 9.93876 + 2.37931i 0.384542 + 0.0920582i
\(669\) 5.77085 24.3155i 0.223114 0.940093i
\(670\) −6.76129 + 20.8320i −0.261211 + 0.804809i
\(671\) 9.94323i 0.383854i
\(672\) 10.3057 + 7.42141i 0.397550 + 0.286287i
\(673\) 3.00549i 0.115853i 0.998321 + 0.0579267i \(0.0184490\pi\)
−0.998321 + 0.0579267i \(0.981551\pi\)
\(674\) −28.0327 9.09838i −1.07978 0.350457i
\(675\) −4.95420 1.56712i −0.190687 0.0603185i
\(676\) 2.03240 + 3.31177i 0.0781691 + 0.127376i
\(677\) −10.5539 + 15.7950i −0.405618 + 0.607051i −0.976898 0.213705i \(-0.931447\pi\)
0.571280 + 0.820755i \(0.306447\pi\)
\(678\) −21.1736 + 34.7799i −0.813168 + 1.33571i
\(679\) 3.67312 1.52145i 0.140961 0.0583881i
\(680\) −0.127110 3.15733i −0.00487446 0.121078i
\(681\) 34.7600 + 15.9152i 1.33201 + 0.609872i
\(682\) 6.62608 + 8.39957i 0.253726 + 0.321636i
\(683\) −28.5316 + 5.67530i −1.09173 + 0.217159i −0.707949 0.706264i \(-0.750379\pi\)
−0.383784 + 0.923423i \(0.625379\pi\)
\(684\) −40.3392 22.2824i −1.54241 0.851990i
\(685\) 14.3691 9.60111i 0.549014 0.366840i
\(686\) −22.5130 + 1.77911i −0.859549 + 0.0679268i
\(687\) 18.6347 17.3157i 0.710957 0.660637i
\(688\) −30.1173 + 16.9176i −1.14821 + 0.644977i
\(689\) −0.919021 0.919021i −0.0350119 0.0350119i
\(690\) 7.95871 + 7.31395i 0.302983 + 0.278437i
\(691\) 29.5729 19.7600i 1.12501 0.751705i 0.153366 0.988169i \(-0.450989\pi\)
0.971640 + 0.236464i \(0.0759885\pi\)
\(692\) −40.1444 1.55135i −1.52606 0.0589737i
\(693\) 13.8758 1.71549i 0.527099 0.0651662i
\(694\) −10.5423 1.24432i −0.400180 0.0472336i
\(695\) −5.31212 2.20035i −0.201500 0.0834642i
\(696\) 31.4202 + 20.8326i 1.19098 + 0.789658i
\(697\) 1.44130 0.597004i 0.0545930 0.0226132i
\(698\) 0.902890 + 3.19746i 0.0341749 + 0.121026i
\(699\) 10.6900 14.7942i 0.404332 0.559567i
\(700\) −0.407180 2.56015i −0.0153900 0.0967646i
\(701\) −0.650303 + 3.26929i −0.0245616 + 0.123480i −0.991121 0.132964i \(-0.957551\pi\)
0.966559 + 0.256443i \(0.0825506\pi\)
\(702\) −26.5698 + 10.0479i −1.00281 + 0.379234i
\(703\) 36.2858i 1.36854i
\(704\) −3.32568 + 28.5719i −0.125341 + 1.07684i
\(705\) −19.7311 0.723884i −0.743115 0.0272630i
\(706\) −11.4724 + 5.85013i −0.431769 + 0.220172i
\(707\) −10.5161 2.09179i −0.395500 0.0786698i
\(708\) −38.1829 + 4.64488i −1.43500 + 0.174565i
\(709\) 23.7706 35.5752i 0.892722 1.33605i −0.0486963 0.998814i \(-0.515507\pi\)
0.941419 0.337240i \(-0.109493\pi\)
\(710\) −0.913707 + 0.258010i −0.0342908 + 0.00968294i
\(711\) −14.5805 44.0931i −0.546812 1.65362i
\(712\) −1.68571 6.99167i −0.0631745 0.262024i
\(713\) −3.55293 + 8.57752i −0.133058 + 0.321231i
\(714\) 0.544638 3.50495i 0.0203826 0.131169i
\(715\) −13.6321 + 2.71159i −0.509811 + 0.101408i
\(716\) 17.2609 + 0.667038i 0.645072 + 0.0249284i
\(717\) −2.65313 + 1.63534i −0.0990828 + 0.0610728i
\(718\) 28.2080 + 24.0762i 1.05271 + 0.898515i
\(719\) 21.5809 21.5809i 0.804831 0.804831i −0.179015 0.983846i \(-0.557291\pi\)
0.983846 + 0.179015i \(0.0572911\pi\)
\(720\) 8.08827 8.86453i 0.301432 0.330361i
\(721\) 3.95116 + 3.95116i 0.147149 + 0.147149i
\(722\) 4.45574 + 56.3831i 0.165825 + 2.09836i
\(723\) −3.71539 6.02774i −0.138177 0.224174i
\(724\) −3.93260 1.80988i −0.146154 0.0672636i
\(725\) −1.50128 7.54744i −0.0557561 0.280305i
\(726\) 2.78755 + 3.81326i 0.103456 + 0.141523i
\(727\) 15.2151 + 6.30231i 0.564298 + 0.233740i 0.646550 0.762872i \(-0.276211\pi\)
−0.0822520 + 0.996612i \(0.526211\pi\)
\(728\) −10.4159 9.60969i −0.386039 0.356159i
\(729\) −4.63903 26.5985i −0.171816 0.985129i
\(730\) 0.754501 + 0.422221i 0.0279253 + 0.0156271i
\(731\) 8.02196 + 5.36010i 0.296703 + 0.198250i
\(732\) −4.70787 8.34292i −0.174008 0.308363i
\(733\) 3.16166 15.8948i 0.116779 0.587086i −0.877438 0.479691i \(-0.840749\pi\)
0.994216 0.107396i \(-0.0342511\pi\)
\(734\) −8.35951 + 25.7562i −0.308555 + 0.950678i
\(735\) −0.337827 + 9.20824i −0.0124609 + 0.339651i
\(736\) −23.0468 + 9.58984i −0.849516 + 0.353486i
\(737\) −55.6846 −2.05117
\(738\) 5.48590 + 2.23694i 0.201939 + 0.0823428i
\(739\) 31.0064 + 6.16756i 1.14059 + 0.226877i 0.729014 0.684499i \(-0.239979\pi\)
0.411575 + 0.911376i \(0.364979\pi\)
\(740\) −9.18891 2.19980i −0.337791 0.0808662i
\(741\) 41.6825 + 30.1189i 1.53124 + 1.10645i
\(742\) 0.537825 + 0.300969i 0.0197442 + 0.0110489i
\(743\) −6.07280 14.6610i −0.222790 0.537861i 0.772477 0.635042i \(-0.219017\pi\)
−0.995267 + 0.0971810i \(0.969017\pi\)
\(744\) 9.53663 + 3.91042i 0.349630 + 0.143363i
\(745\) 0.152037 0.367050i 0.00557021 0.0134477i
\(746\) 13.6417 + 17.2930i 0.499459 + 0.633141i
\(747\) 45.8417 5.66748i 1.67726 0.207362i
\(748\) 7.53557 2.78554i 0.275528 0.101849i
\(749\) −11.5759 17.3245i −0.422973 0.633023i
\(750\) −2.44731 + 0.103316i −0.0893631 + 0.00377257i
\(751\) 30.9271 30.9271i 1.12855 1.12855i 0.138133 0.990414i \(-0.455890\pi\)
0.990414 0.138133i \(-0.0441102\pi\)
\(752\) 20.6485 40.6545i 0.752973 1.48252i
\(753\) 3.57237 + 3.84448i 0.130184 + 0.140100i
\(754\) −31.9980 27.3110i −1.16530 0.994608i
\(755\) −12.3954 18.5510i −0.451114 0.675140i
\(756\) 10.8303 8.00926i 0.393896 0.291294i
\(757\) −5.17358 26.0094i −0.188037 0.945326i −0.953396 0.301722i \(-0.902438\pi\)
0.765359 0.643604i \(-0.222562\pi\)
\(758\) −17.6402 2.08208i −0.640719 0.0756247i
\(759\) −11.4406 + 24.9871i −0.415266 + 0.906974i
\(760\) −21.4601 3.37768i −0.778440 0.122521i
\(761\) 18.8972 + 45.6219i 0.685023 + 1.65379i 0.754576 + 0.656213i \(0.227843\pi\)
−0.0695527 + 0.997578i \(0.522157\pi\)
\(762\) 48.2161 11.7247i 1.74669 0.424743i
\(763\) −0.616971 0.412247i −0.0223358 0.0149243i
\(764\) 15.1551 20.8875i 0.548293 0.755684i
\(765\) −3.23042 0.892972i −0.116796 0.0322855i
\(766\) 7.10554 3.62334i 0.256734 0.130917i
\(767\) 42.9225 1.54984
\(768\) 10.7377 + 25.5480i 0.387462 + 0.921886i
\(769\) 22.4653 0.810119 0.405060 0.914290i \(-0.367251\pi\)
0.405060 + 0.914290i \(0.367251\pi\)
\(770\) 5.87160 2.99411i 0.211598 0.107900i
\(771\) 6.06525 + 1.43948i 0.218435 + 0.0518415i
\(772\) −23.5873 + 32.5092i −0.848927 + 1.17003i
\(773\) 3.57840 + 2.39101i 0.128706 + 0.0859988i 0.618257 0.785976i \(-0.287839\pi\)
−0.489551 +