Properties

Label 384.2.w.a.179.17
Level $384$
Weight $2$
Character 384.179
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 179.17
Character \(\chi\) \(=\) 384.179
Dual form 384.2.w.a.251.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.879716 - 1.10729i) q^{2} +(1.68380 - 0.405958i) q^{3} +(-0.452199 + 1.94821i) q^{4} +(-0.324308 - 3.29275i) q^{5} +(-1.93078 - 1.50734i) q^{6} +(-3.28633 - 2.19586i) q^{7} +(2.55505 - 1.21315i) q^{8} +(2.67040 - 1.36711i) q^{9} +O(q^{10})\) \(q+(-0.879716 - 1.10729i) q^{2} +(1.68380 - 0.405958i) q^{3} +(-0.452199 + 1.94821i) q^{4} +(-0.324308 - 3.29275i) q^{5} +(-1.93078 - 1.50734i) q^{6} +(-3.28633 - 2.19586i) q^{7} +(2.55505 - 1.21315i) q^{8} +(2.67040 - 1.36711i) q^{9} +(-3.36075 + 3.25579i) q^{10} +(-0.281020 - 0.525751i) q^{11} +(0.0294756 + 3.46398i) q^{12} +(-0.187953 + 1.90832i) q^{13} +(0.459581 + 5.57067i) q^{14} +(-1.88279 - 5.41270i) q^{15} +(-3.59103 - 1.76196i) q^{16} +(-2.42180 + 5.84675i) q^{17} +(-3.86298 - 1.75425i) q^{18} +(-1.15540 + 0.948208i) q^{19} +(6.56162 + 0.857161i) q^{20} +(-6.42497 - 2.36328i) q^{21} +(-0.334943 + 0.773683i) q^{22} +(1.22716 - 6.16936i) q^{23} +(3.80971 - 3.07995i) q^{24} +(-5.83312 + 1.16028i) q^{25} +(2.27842 - 1.47066i) q^{26} +(3.94144 - 3.38601i) q^{27} +(5.76407 - 5.40950i) q^{28} +(3.15612 - 5.90468i) q^{29} +(-4.33712 + 6.84644i) q^{30} +(-1.04469 - 1.04469i) q^{31} +(1.20808 + 5.52635i) q^{32} +(-0.686615 - 0.771180i) q^{33} +(8.60457 - 2.46183i) q^{34} +(-6.16463 + 11.5332i) q^{35} +(1.45586 + 5.82069i) q^{36} +(0.353476 + 0.290090i) q^{37} +(2.06637 + 0.445208i) q^{38} +(0.458222 + 3.28954i) q^{39} +(-4.82323 - 8.01970i) q^{40} +(2.35149 - 11.8217i) q^{41} +(3.03530 + 9.19335i) q^{42} +(0.626022 - 2.06372i) q^{43} +(1.15135 - 0.309741i) q^{44} +(-5.36758 - 8.34959i) q^{45} +(-7.91085 + 4.06846i) q^{46} +(0.749553 - 1.80958i) q^{47} +(-6.76188 - 1.50898i) q^{48} +(3.29941 + 7.96549i) q^{49} +(6.41626 + 5.43826i) q^{50} +(-1.70431 + 10.8279i) q^{51} +(-3.63282 - 1.22911i) q^{52} +(5.62217 + 10.5183i) q^{53} +(-7.21666 - 1.38560i) q^{54} +(-1.64003 + 1.09583i) q^{55} +(-11.0606 - 1.62369i) q^{56} +(-1.56053 + 2.06564i) q^{57} +(-9.31470 + 1.69969i) q^{58} +(-0.520180 - 5.28148i) q^{59} +(11.3965 - 1.22045i) q^{60} +(3.82602 + 12.6127i) q^{61} +(-0.237748 + 2.07581i) q^{62} +(-11.7778 - 1.37104i) q^{63} +(5.05652 - 6.19932i) q^{64} +6.34459 q^{65} +(-0.249896 + 1.43870i) q^{66} +(4.28074 - 1.29855i) q^{67} +(-10.2956 - 7.36208i) q^{68} +(-0.438200 - 10.8862i) q^{69} +(18.1938 - 3.31990i) q^{70} +(-5.35095 - 3.57539i) q^{71} +(5.16447 - 6.73262i) q^{72} +(5.77379 + 8.64109i) q^{73} +(0.0102566 - 0.646598i) q^{74} +(-9.35080 + 4.32168i) q^{75} +(-1.32484 - 2.67973i) q^{76} +(-0.230950 + 2.34487i) q^{77} +(3.23938 - 3.40125i) q^{78} +(11.1761 - 4.62928i) q^{79} +(-4.63709 + 12.3958i) q^{80} +(5.26203 - 7.30144i) q^{81} +(-15.1588 + 7.79597i) q^{82} +(-2.60265 + 2.13594i) q^{83} +(7.50953 - 11.4485i) q^{84} +(20.0373 + 6.07825i) q^{85} +(-2.83587 + 1.12230i) q^{86} +(2.91723 - 11.2236i) q^{87} +(-1.35584 - 1.00240i) q^{88} +(12.0484 - 2.39657i) q^{89} +(-4.52350 + 13.2888i) q^{90} +(4.80808 - 5.85866i) q^{91} +(11.4643 + 5.18055i) q^{92} +(-2.18315 - 1.33495i) q^{93} +(-2.66313 + 0.761942i) q^{94} +(3.49692 + 3.49692i) q^{95} +(4.27764 + 8.81486i) q^{96} +(5.23719 - 5.23719i) q^{97} +(5.91759 - 10.6608i) q^{98} +(-1.46919 - 1.01978i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{31}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.879716 1.10729i −0.622053 0.782975i
\(3\) 1.68380 0.405958i 0.972145 0.234380i
\(4\) −0.452199 + 1.94821i −0.226100 + 0.974104i
\(5\) −0.324308 3.29275i −0.145035 1.47256i −0.742056 0.670338i \(-0.766149\pi\)
0.597021 0.802226i \(-0.296351\pi\)
\(6\) −1.93078 1.50734i −0.788240 0.615368i
\(7\) −3.28633 2.19586i −1.24212 0.829956i −0.251665 0.967814i \(-0.580978\pi\)
−0.990452 + 0.137858i \(0.955978\pi\)
\(8\) 2.55505 1.21315i 0.903345 0.428914i
\(9\) 2.67040 1.36711i 0.890132 0.455703i
\(10\) −3.36075 + 3.25579i −1.06276 + 1.02957i
\(11\) −0.281020 0.525751i −0.0847307 0.158520i 0.835987 0.548749i \(-0.184896\pi\)
−0.920718 + 0.390229i \(0.872396\pi\)
\(12\) 0.0294756 + 3.46398i 0.00850888 + 0.999964i
\(13\) −0.187953 + 1.90832i −0.0521289 + 0.529273i 0.933290 + 0.359125i \(0.116925\pi\)
−0.985418 + 0.170149i \(0.945575\pi\)
\(14\) 0.459581 + 5.57067i 0.122828 + 1.48882i
\(15\) −1.88279 5.41270i −0.486134 1.39755i
\(16\) −3.59103 1.76196i −0.897758 0.440489i
\(17\) −2.42180 + 5.84675i −0.587374 + 1.41805i 0.298631 + 0.954369i \(0.403470\pi\)
−0.886004 + 0.463677i \(0.846530\pi\)
\(18\) −3.86298 1.75425i −0.910513 0.413480i
\(19\) −1.15540 + 0.948208i −0.265066 + 0.217534i −0.757533 0.652797i \(-0.773595\pi\)
0.492467 + 0.870331i \(0.336095\pi\)
\(20\) 6.56162 + 0.857161i 1.46722 + 0.191667i
\(21\) −6.42497 2.36328i −1.40204 0.515711i
\(22\) −0.334943 + 0.773683i −0.0714101 + 0.164950i
\(23\) 1.22716 6.16936i 0.255881 1.28640i −0.612487 0.790480i \(-0.709831\pi\)
0.868368 0.495920i \(-0.165169\pi\)
\(24\) 3.80971 3.07995i 0.777654 0.628693i
\(25\) −5.83312 + 1.16028i −1.16662 + 0.232056i
\(26\) 2.27842 1.47066i 0.446835 0.288421i
\(27\) 3.94144 3.38601i 0.758530 0.651638i
\(28\) 5.76407 5.40950i 1.08931 1.02230i
\(29\) 3.15612 5.90468i 0.586076 1.09647i −0.397775 0.917483i \(-0.630218\pi\)
0.983851 0.178988i \(-0.0572824\pi\)
\(30\) −4.33712 + 6.84644i −0.791847 + 1.24998i
\(31\) −1.04469 1.04469i −0.187632 0.187632i 0.607040 0.794671i \(-0.292357\pi\)
−0.794671 + 0.607040i \(0.792357\pi\)
\(32\) 1.20808 + 5.52635i 0.213561 + 0.976930i
\(33\) −0.686615 0.771180i −0.119524 0.134245i
\(34\) 8.60457 2.46183i 1.47567 0.422201i
\(35\) −6.16463 + 11.5332i −1.04201 + 1.94947i
\(36\) 1.45586 + 5.82069i 0.242643 + 0.970116i
\(37\) 0.353476 + 0.290090i 0.0581111 + 0.0476905i 0.663001 0.748619i \(-0.269283\pi\)
−0.604889 + 0.796309i \(0.706783\pi\)
\(38\) 2.06637 + 0.445208i 0.335209 + 0.0722223i
\(39\) 0.458222 + 3.28954i 0.0733742 + 0.526748i
\(40\) −4.82323 8.01970i −0.762620 1.26803i
\(41\) 2.35149 11.8217i 0.367240 1.84624i −0.147721 0.989029i \(-0.547194\pi\)
0.514962 0.857213i \(-0.327806\pi\)
\(42\) 3.03530 + 9.19335i 0.468357 + 1.41856i
\(43\) 0.626022 2.06372i 0.0954675 0.314714i −0.896180 0.443690i \(-0.853669\pi\)
0.991648 + 0.128976i \(0.0411690\pi\)
\(44\) 1.15135 0.309741i 0.173572 0.0466952i
\(45\) −5.36758 8.34959i −0.800151 1.24468i
\(46\) −7.91085 + 4.06846i −1.16639 + 0.599861i
\(47\) 0.749553 1.80958i 0.109333 0.263954i −0.859738 0.510736i \(-0.829373\pi\)
0.969071 + 0.246782i \(0.0793730\pi\)
\(48\) −6.76188 1.50898i −0.975993 0.217803i
\(49\) 3.29941 + 7.96549i 0.471345 + 1.13793i
\(50\) 6.41626 + 5.43826i 0.907396 + 0.769086i
\(51\) −1.70431 + 10.8279i −0.238651 + 1.51621i
\(52\) −3.63282 1.22911i −0.503781 0.170447i
\(53\) 5.62217 + 10.5183i 0.772265 + 1.44481i 0.892017 + 0.452003i \(0.149290\pi\)
−0.119752 + 0.992804i \(0.538210\pi\)
\(54\) −7.21666 1.38560i −0.982062 0.188556i
\(55\) −1.64003 + 1.09583i −0.221142 + 0.147762i
\(56\) −11.0606 1.62369i −1.47804 0.216975i
\(57\) −1.56053 + 2.06564i −0.206697 + 0.273601i
\(58\) −9.31470 + 1.69969i −1.22308 + 0.223180i
\(59\) −0.520180 5.28148i −0.0677217 0.687590i −0.967776 0.251812i \(-0.918973\pi\)
0.900054 0.435777i \(-0.143527\pi\)
\(60\) 11.3965 1.22045i 1.47128 0.157559i
\(61\) 3.82602 + 12.6127i 0.489871 + 1.61489i 0.758519 + 0.651651i \(0.225923\pi\)
−0.268648 + 0.963239i \(0.586577\pi\)
\(62\) −0.237748 + 2.07581i −0.0301940 + 0.263628i
\(63\) −11.7778 1.37104i −1.48386 0.172735i
\(64\) 5.05652 6.19932i 0.632065 0.774915i
\(65\) 6.34459 0.786949
\(66\) −0.249896 + 1.43870i −0.0307601 + 0.177092i
\(67\) 4.28074 1.29855i 0.522975 0.158643i −0.0177493 0.999842i \(-0.505650\pi\)
0.540725 + 0.841200i \(0.318150\pi\)
\(68\) −10.2956 7.36208i −1.24852 0.892783i
\(69\) −0.438200 10.8862i −0.0527531 1.31054i
\(70\) 18.1938 3.31990i 2.17457 0.396804i
\(71\) −5.35095 3.57539i −0.635041 0.424321i 0.195944 0.980615i \(-0.437223\pi\)
−0.830985 + 0.556294i \(0.812223\pi\)
\(72\) 5.16447 6.73262i 0.608639 0.793447i
\(73\) 5.77379 + 8.64109i 0.675771 + 1.01136i 0.997907 + 0.0646693i \(0.0205993\pi\)
−0.322136 + 0.946693i \(0.604401\pi\)
\(74\) 0.0102566 0.646598i 0.00119231 0.0751655i
\(75\) −9.35080 + 4.32168i −1.07974 + 0.499025i
\(76\) −1.32484 2.67973i −0.151969 0.307386i
\(77\) −0.230950 + 2.34487i −0.0263192 + 0.267223i
\(78\) 3.23938 3.40125i 0.366788 0.385116i
\(79\) 11.1761 4.62928i 1.25741 0.520835i 0.348294 0.937385i \(-0.386761\pi\)
0.909112 + 0.416551i \(0.136761\pi\)
\(80\) −4.63709 + 12.3958i −0.518442 + 1.38589i
\(81\) 5.26203 7.30144i 0.584670 0.811271i
\(82\) −15.1588 + 7.79597i −1.67400 + 0.860921i
\(83\) −2.60265 + 2.13594i −0.285678 + 0.234450i −0.766308 0.642474i \(-0.777908\pi\)
0.480630 + 0.876924i \(0.340408\pi\)
\(84\) 7.50953 11.4485i 0.819357 1.24913i
\(85\) 20.0373 + 6.07825i 2.17335 + 0.659279i
\(86\) −2.83587 + 1.12230i −0.305799 + 0.121020i
\(87\) 2.91723 11.2236i 0.312760 1.20329i
\(88\) −1.35584 1.00240i −0.144532 0.106856i
\(89\) 12.0484 2.39657i 1.27712 0.254036i 0.490486 0.871449i \(-0.336819\pi\)
0.786639 + 0.617413i \(0.211819\pi\)
\(90\) −4.52350 + 13.2888i −0.476819 + 1.40076i
\(91\) 4.80808 5.85866i 0.504024 0.614155i
\(92\) 11.4643 + 5.18055i 1.19523 + 0.540109i
\(93\) −2.18315 1.33495i −0.226382 0.138428i
\(94\) −2.66313 + 0.761942i −0.274681 + 0.0785883i
\(95\) 3.49692 + 3.49692i 0.358776 + 0.358776i
\(96\) 4.27764 + 8.81486i 0.436585 + 0.899663i
\(97\) 5.23719 5.23719i 0.531756 0.531756i −0.389339 0.921095i \(-0.627296\pi\)
0.921095 + 0.389339i \(0.127296\pi\)
\(98\) 5.91759 10.6608i 0.597767 1.07690i
\(99\) −1.46919 1.01978i −0.147659 0.102492i
\(100\) 0.377265 11.8888i 0.0377265 1.18888i
\(101\) −7.30431 5.99449i −0.726806 0.596474i 0.196516 0.980501i \(-0.437037\pi\)
−0.923322 + 0.384026i \(0.874537\pi\)
\(102\) 13.4890 7.63834i 1.33561 0.756309i
\(103\) 1.49458 + 7.51375i 0.147265 + 0.740352i 0.981878 + 0.189515i \(0.0606915\pi\)
−0.834613 + 0.550837i \(0.814309\pi\)
\(104\) 1.83486 + 5.10387i 0.179923 + 0.500475i
\(105\) −5.69804 + 21.9223i −0.556071 + 2.13939i
\(106\) 6.70099 15.4786i 0.650857 1.50341i
\(107\) 1.71247 5.64524i 0.165550 0.545746i −0.834435 0.551106i \(-0.814206\pi\)
0.999986 + 0.00535963i \(0.00170603\pi\)
\(108\) 4.81434 + 9.20989i 0.463260 + 0.886222i
\(109\) −4.14592 5.05182i −0.397108 0.483877i 0.535620 0.844459i \(-0.320078\pi\)
−0.932727 + 0.360582i \(0.882578\pi\)
\(110\) 2.65617 + 0.851974i 0.253256 + 0.0812325i
\(111\) 0.712949 + 0.344959i 0.0676701 + 0.0327420i
\(112\) 7.93232 + 13.6758i 0.749534 + 1.29224i
\(113\) 5.45203 + 13.1624i 0.512884 + 1.23821i 0.942198 + 0.335056i \(0.108755\pi\)
−0.429314 + 0.903155i \(0.641245\pi\)
\(114\) 3.66009 0.0892144i 0.342799 0.00835569i
\(115\) −20.7121 2.03997i −1.93142 0.190228i
\(116\) 10.0763 + 8.81886i 0.935565 + 0.818811i
\(117\) 2.10697 + 5.35293i 0.194790 + 0.494878i
\(118\) −5.39053 + 5.22219i −0.496239 + 0.480742i
\(119\) 20.7975 13.8964i 1.90650 1.27388i
\(120\) −11.3770 11.5456i −1.03858 1.05396i
\(121\) 5.91383 8.85067i 0.537621 0.804607i
\(122\) 10.6001 15.3321i 0.959692 1.38810i
\(123\) −0.839678 20.8601i −0.0757112 1.88089i
\(124\) 2.50768 1.56286i 0.225196 0.140349i
\(125\) 0.909934 + 2.99965i 0.0813870 + 0.268297i
\(126\) 8.84297 + 14.2476i 0.787794 + 1.26928i
\(127\) 15.4496i 1.37093i 0.728104 + 0.685467i \(0.240402\pi\)
−0.728104 + 0.685467i \(0.759598\pi\)
\(128\) −11.3128 0.145410i −0.999917 0.0128525i
\(129\) 0.216316 3.72904i 0.0190456 0.328324i
\(130\) −5.58143 7.02532i −0.489524 0.616161i
\(131\) −17.9308 + 5.43925i −1.56662 + 0.475230i −0.950058 0.312075i \(-0.898976\pi\)
−0.616565 + 0.787304i \(0.711476\pi\)
\(132\) 1.81291 0.988943i 0.157793 0.0860764i
\(133\) 5.87915 0.579045i 0.509787 0.0502096i
\(134\) −5.20371 3.59768i −0.449532 0.310792i
\(135\) −12.4275 11.8801i −1.06959 1.02247i
\(136\) 0.905183 + 17.8767i 0.0776188 + 1.53292i
\(137\) 6.76378 + 10.1227i 0.577869 + 0.864842i 0.999113 0.0421053i \(-0.0134065\pi\)
−0.421244 + 0.906947i \(0.638407\pi\)
\(138\) −11.6687 + 10.0620i −0.993306 + 0.856531i
\(139\) −7.55153 + 4.03638i −0.640513 + 0.342361i −0.759474 0.650538i \(-0.774544\pi\)
0.118961 + 0.992899i \(0.462044\pi\)
\(140\) −19.6815 17.2253i −1.66339 1.45580i
\(141\) 0.527487 3.35127i 0.0444224 0.282228i
\(142\) 0.748309 + 9.07040i 0.0627967 + 0.761171i
\(143\) 1.05612 0.437460i 0.0883173 0.0365822i
\(144\) −11.9983 + 0.204206i −0.999855 + 0.0170172i
\(145\) −20.4662 8.47737i −1.69962 0.704008i
\(146\) 4.48893 13.9950i 0.371506 1.15823i
\(147\) 8.78922 + 12.0729i 0.724923 + 0.995756i
\(148\) −0.724997 + 0.557466i −0.0595944 + 0.0458234i
\(149\) 2.83990 + 0.861474i 0.232654 + 0.0705747i 0.404459 0.914556i \(-0.367460\pi\)
−0.171805 + 0.985131i \(0.554960\pi\)
\(150\) 13.0114 + 6.55223i 1.06238 + 0.534988i
\(151\) −13.2070 2.62704i −1.07477 0.213785i −0.374186 0.927354i \(-0.622078\pi\)
−0.700585 + 0.713569i \(0.747078\pi\)
\(152\) −1.80177 + 3.82439i −0.146143 + 0.310199i
\(153\) 1.52597 + 18.9240i 0.123367 + 1.52992i
\(154\) 2.79963 1.80709i 0.225601 0.145620i
\(155\) −3.10110 + 3.77870i −0.249086 + 0.303513i
\(156\) −6.61592 0.594817i −0.529698 0.0476235i
\(157\) −7.52800 4.02380i −0.600799 0.321134i 0.142808 0.989750i \(-0.454387\pi\)
−0.743608 + 0.668616i \(0.766887\pi\)
\(158\) −14.9577 8.30274i −1.18997 0.660531i
\(159\) 13.7367 + 15.4285i 1.08939 + 1.22356i
\(160\) 17.8051 5.77016i 1.40762 0.456171i
\(161\) −17.5799 + 17.5799i −1.38549 + 1.38549i
\(162\) −12.7139 + 0.596579i −0.998901 + 0.0468717i
\(163\) −3.09813 1.65599i −0.242664 0.129707i 0.345582 0.938389i \(-0.387681\pi\)
−0.588246 + 0.808682i \(0.700181\pi\)
\(164\) 21.9678 + 9.92696i 1.71540 + 0.775165i
\(165\) −2.31663 + 2.51095i −0.180349 + 0.195478i
\(166\) 4.65471 + 1.00288i 0.361275 + 0.0778385i
\(167\) 0.802727 + 4.03558i 0.0621169 + 0.312283i 0.999335 0.0364608i \(-0.0116084\pi\)
−0.937218 + 0.348744i \(0.886608\pi\)
\(168\) −19.2831 + 1.75618i −1.48772 + 0.135492i
\(169\) 9.14384 + 1.81882i 0.703373 + 0.139909i
\(170\) −10.8967 27.5343i −0.835742 2.11179i
\(171\) −1.78906 + 4.11164i −0.136813 + 0.314425i
\(172\) 3.73747 + 2.15283i 0.284979 + 0.164152i
\(173\) 1.94768 + 2.37326i 0.148080 + 0.180435i 0.841768 0.539840i \(-0.181515\pi\)
−0.693688 + 0.720276i \(0.744015\pi\)
\(174\) −14.9941 + 6.64333i −1.13670 + 0.503629i
\(175\) 21.7174 + 8.99563i 1.64168 + 0.680006i
\(176\) 0.0828004 + 2.38313i 0.00624132 + 0.179635i
\(177\) −3.01994 8.68180i −0.226993 0.652564i
\(178\) −13.2529 11.2328i −0.993343 0.841933i
\(179\) 2.29275 + 0.225817i 0.171368 + 0.0168783i 0.183337 0.983050i \(-0.441310\pi\)
−0.0119689 + 0.999928i \(0.503810\pi\)
\(180\) 18.6940 6.68148i 1.39337 0.498008i
\(181\) 13.0573 6.97925i 0.970538 0.518764i 0.0916501 0.995791i \(-0.470786\pi\)
0.878888 + 0.477028i \(0.158286\pi\)
\(182\) −10.7170 0.169998i −0.794398 0.0126011i
\(183\) 11.5625 + 19.6841i 0.854724 + 1.45509i
\(184\) −4.34892 17.2517i −0.320607 1.27181i
\(185\) 0.840560 1.25799i 0.0617992 0.0924890i
\(186\) 0.442370 + 3.59177i 0.0324361 + 0.263361i
\(187\) 3.75451 0.369787i 0.274557 0.0270415i
\(188\) 3.18649 + 2.27858i 0.232399 + 0.166182i
\(189\) −20.3881 + 2.47273i −1.48301 + 0.179864i
\(190\) 0.795821 6.94841i 0.0577349 0.504091i
\(191\) 15.9188i 1.15185i −0.817504 0.575923i \(-0.804643\pi\)
0.817504 0.575923i \(-0.195357\pi\)
\(192\) 5.99753 12.4912i 0.432834 0.901474i
\(193\) 1.79727i 0.129370i −0.997906 0.0646851i \(-0.979396\pi\)
0.997906 0.0646851i \(-0.0206043\pi\)
\(194\) −10.4063 1.19187i −0.747132 0.0855711i
\(195\) 10.6830 2.57564i 0.765029 0.184445i
\(196\) −17.0104 + 2.82596i −1.21503 + 0.201854i
\(197\) −9.82672 + 0.967847i −0.700125 + 0.0689563i −0.441815 0.897106i \(-0.645665\pi\)
−0.258309 + 0.966062i \(0.583165\pi\)
\(198\) 0.163277 + 2.52394i 0.0116036 + 0.179369i
\(199\) 2.15652 3.22746i 0.152871 0.228788i −0.747127 0.664681i \(-0.768567\pi\)
0.899999 + 0.435893i \(0.143567\pi\)
\(200\) −13.4963 + 10.0410i −0.954331 + 0.710008i
\(201\) 6.68077 3.92430i 0.471225 0.276799i
\(202\) −0.211945 + 13.3615i −0.0149124 + 0.940109i
\(203\) −23.3379 + 12.4744i −1.63800 + 0.875528i
\(204\) −20.3244 8.21674i −1.42299 0.575287i
\(205\) −39.6886 3.90899i −2.77197 0.273015i
\(206\) 7.00512 8.26490i 0.488070 0.575843i
\(207\) −5.15717 18.1523i −0.358448 1.26167i
\(208\) 4.03733 6.52168i 0.279938 0.452197i
\(209\) 0.823211 + 0.340985i 0.0569427 + 0.0235864i
\(210\) 29.2870 12.9760i 2.02100 0.895427i
\(211\) −1.08800 1.32573i −0.0749011 0.0912673i 0.734212 0.678921i \(-0.237552\pi\)
−0.809113 + 0.587653i \(0.800052\pi\)
\(212\) −23.0343 + 6.19678i −1.58200 + 0.425597i
\(213\) −10.4614 3.84800i −0.716804 0.263661i
\(214\) −7.75743 + 3.07001i −0.530287 + 0.209861i
\(215\) −6.99834 1.39206i −0.477283 0.0949375i
\(216\) 5.96280 13.4330i 0.405717 0.913999i
\(217\) 1.13921 + 5.72719i 0.0773345 + 0.388787i
\(218\) −1.94662 + 9.03493i −0.131842 + 0.611922i
\(219\) 13.2299 + 12.2060i 0.893991 + 0.824804i
\(220\) −1.39329 3.69066i −0.0939357 0.248824i
\(221\) −10.7023 5.72050i −0.719915 0.384802i
\(222\) −0.245222 1.09291i −0.0164582 0.0733513i
\(223\) 9.67171 9.67171i 0.647666 0.647666i −0.304763 0.952428i \(-0.598577\pi\)
0.952428 + 0.304763i \(0.0985771\pi\)
\(224\) 8.16491 20.8142i 0.545541 1.39071i
\(225\) −13.9905 + 11.0729i −0.932700 + 0.738194i
\(226\) 9.77837 17.6161i 0.650447 1.17181i
\(227\) 16.6493 + 8.89925i 1.10505 + 0.590664i 0.919942 0.392054i \(-0.128235\pi\)
0.185112 + 0.982717i \(0.440735\pi\)
\(228\) −3.31863 3.97431i −0.219781 0.263205i
\(229\) −12.7948 + 15.5905i −0.845503 + 1.03025i 0.153610 + 0.988132i \(0.450910\pi\)
−0.999113 + 0.0421167i \(0.986590\pi\)
\(230\) 15.9620 + 24.7290i 1.05250 + 1.63058i
\(231\) 0.563046 + 4.04206i 0.0370457 + 0.265948i
\(232\) 0.900745 18.9156i 0.0591368 1.24187i
\(233\) −4.88894 0.972470i −0.320285 0.0637086i 0.0323297 0.999477i \(-0.489707\pi\)
−0.352615 + 0.935769i \(0.614707\pi\)
\(234\) 4.07373 7.04209i 0.266308 0.460356i
\(235\) −6.20159 1.88123i −0.404547 0.122718i
\(236\) 10.5246 + 1.37486i 0.685096 + 0.0894958i
\(237\) 16.9390 12.3318i 1.10031 0.801038i
\(238\) −33.6833 10.8040i −2.18337 0.700320i
\(239\) −6.86113 2.84197i −0.443810 0.183832i 0.149576 0.988750i \(-0.452209\pi\)
−0.593386 + 0.804918i \(0.702209\pi\)
\(240\) −2.77578 + 22.7546i −0.179176 + 1.46880i
\(241\) 15.4006 6.37915i 0.992042 0.410917i 0.173169 0.984892i \(-0.444599\pi\)
0.818873 + 0.573975i \(0.194599\pi\)
\(242\) −15.0028 + 1.23773i −0.964416 + 0.0795644i
\(243\) 5.89616 14.4304i 0.378239 0.925708i
\(244\) −26.3023 + 1.75043i −1.68383 + 0.112060i
\(245\) 25.1584 13.4474i 1.60731 0.859124i
\(246\) −22.3595 + 19.2807i −1.42559 + 1.22929i
\(247\) −1.59233 2.38309i −0.101317 0.151632i
\(248\) −3.93660 1.40186i −0.249974 0.0890183i
\(249\) −3.51525 + 4.65307i −0.222770 + 0.294877i
\(250\) 2.52101 3.64641i 0.159443 0.230619i
\(251\) −8.18956 + 0.806601i −0.516920 + 0.0509122i −0.353114 0.935580i \(-0.614877\pi\)
−0.163806 + 0.986493i \(0.552377\pi\)
\(252\) 7.99697 22.3256i 0.503762 1.40638i
\(253\) −3.58840 + 1.08853i −0.225601 + 0.0684353i
\(254\) 17.1073 13.5913i 1.07341 0.852793i
\(255\) 36.2064 + 2.10028i 2.26734 + 0.131525i
\(256\) 9.79102 + 12.6545i 0.611939 + 0.790905i
\(257\) 1.57386i 0.0981745i −0.998794 0.0490872i \(-0.984369\pi\)
0.998794 0.0490872i \(-0.0156312\pi\)
\(258\) −4.31944 + 3.04097i −0.268917 + 0.189323i
\(259\) −0.524643 1.72952i −0.0325997 0.107467i
\(260\) −2.86902 + 12.3606i −0.177929 + 0.766570i
\(261\) 0.355748 20.0826i 0.0220203 1.24308i
\(262\) 21.7969 + 15.0697i 1.34662 + 0.931008i
\(263\) −8.16712 + 12.2230i −0.503606 + 0.753700i −0.992968 0.118381i \(-0.962230\pi\)
0.489362 + 0.872081i \(0.337230\pi\)
\(264\) −2.68989 1.13743i −0.165551 0.0700040i
\(265\) 32.8110 21.9236i 2.01556 1.34676i
\(266\) −5.81315 6.00055i −0.356427 0.367917i
\(267\) 19.3142 8.92649i 1.18201 0.546292i
\(268\) 0.594095 + 8.92697i 0.0362901 + 0.545302i
\(269\) −15.1040 1.48761i −0.920906 0.0907013i −0.373558 0.927607i \(-0.621862\pi\)
−0.547348 + 0.836905i \(0.684362\pi\)
\(270\) −2.22202 + 24.2120i −0.135228 + 1.47350i
\(271\) 10.0242 + 24.2005i 0.608926 + 1.47008i 0.864170 + 0.503200i \(0.167844\pi\)
−0.255244 + 0.966877i \(0.582156\pi\)
\(272\) 18.9985 16.7288i 1.15195 1.01433i
\(273\) 5.71750 11.8167i 0.346039 0.715181i
\(274\) 5.25861 16.3946i 0.317684 0.990435i
\(275\) 2.24924 + 2.74071i 0.135634 + 0.165271i
\(276\) 21.4067 + 4.06901i 1.28853 + 0.244926i
\(277\) −7.76707 + 25.6046i −0.466678 + 1.53843i 0.335908 + 0.941895i \(0.390957\pi\)
−0.802586 + 0.596536i \(0.796543\pi\)
\(278\) 11.1127 + 4.81090i 0.666493 + 0.288538i
\(279\) −4.21794 1.36153i −0.252521 0.0815127i
\(280\) −1.75937 + 36.9465i −0.105142 + 2.20798i
\(281\) 2.69961 + 13.5719i 0.161046 + 0.809631i 0.973867 + 0.227118i \(0.0729303\pi\)
−0.812822 + 0.582513i \(0.802070\pi\)
\(282\) −4.17488 + 2.36408i −0.248610 + 0.140779i
\(283\) 21.8762 + 17.9533i 1.30040 + 1.06721i 0.993303 + 0.115537i \(0.0368589\pi\)
0.307101 + 0.951677i \(0.400641\pi\)
\(284\) 9.38530 8.80798i 0.556915 0.522657i
\(285\) 7.30773 + 4.46853i 0.432873 + 0.264693i
\(286\) −1.41348 0.784596i −0.0835810 0.0463941i
\(287\) −33.6866 + 33.6866i −1.98846 + 1.98846i
\(288\) 10.7812 + 13.1060i 0.635287 + 0.772276i
\(289\) −16.2986 16.2986i −0.958739 0.958739i
\(290\) 8.61749 + 30.1198i 0.506037 + 1.76869i
\(291\) 6.69232 10.9445i 0.392311 0.641577i
\(292\) −19.4455 + 7.34105i −1.13796 + 0.429603i
\(293\) 5.09003 6.20222i 0.297363 0.362338i −0.602799 0.797893i \(-0.705948\pi\)
0.900162 + 0.435555i \(0.143448\pi\)
\(294\) 5.63623 20.3530i 0.328712 1.18701i
\(295\) −17.2219 + 3.42565i −1.00270 + 0.199449i
\(296\) 1.25507 + 0.312373i 0.0729495 + 0.0181563i
\(297\) −2.88782 1.12068i −0.167568 0.0650284i
\(298\) −1.54440 3.90246i −0.0894647 0.226063i
\(299\) 11.5425 + 3.50137i 0.667518 + 0.202490i
\(300\) −4.19111 20.1716i −0.241974 1.16461i
\(301\) −6.58895 + 5.40742i −0.379781 + 0.311678i
\(302\) 8.70951 + 16.9351i 0.501176 + 0.974505i
\(303\) −14.7325 7.12831i −0.846362 0.409511i
\(304\) 5.81976 1.36929i 0.333786 0.0785342i
\(305\) 40.2897 16.6885i 2.30698 0.955582i
\(306\) 19.6120 18.3375i 1.12114 1.04828i
\(307\) −2.62801 + 26.6826i −0.149988 + 1.52286i 0.565801 + 0.824542i \(0.308567\pi\)
−0.715789 + 0.698316i \(0.753933\pi\)
\(308\) −4.46387 1.51029i −0.254352 0.0860567i
\(309\) 5.56684 + 12.0450i 0.316687 + 0.685213i
\(310\) 6.91222 + 0.109645i 0.392588 + 0.00622740i
\(311\) −2.00925 3.00705i −0.113934 0.170514i 0.770120 0.637899i \(-0.220196\pi\)
−0.884054 + 0.467385i \(0.845196\pi\)
\(312\) 5.16150 + 7.84904i 0.292212 + 0.444364i
\(313\) −6.86076 4.58421i −0.387793 0.259115i 0.346356 0.938103i \(-0.387419\pi\)
−0.734149 + 0.678988i \(0.762419\pi\)
\(314\) 2.16697 + 11.8755i 0.122289 + 0.670173i
\(315\) −0.694860 + 39.2260i −0.0391509 + 2.21013i
\(316\) 3.96499 + 23.8667i 0.223048 + 1.34261i
\(317\) −16.2017 + 4.91473i −0.909978 + 0.276039i −0.710363 0.703836i \(-0.751469\pi\)
−0.199615 + 0.979874i \(0.563969\pi\)
\(318\) 4.99951 28.7832i 0.280358 1.61408i
\(319\) −3.99132 −0.223471
\(320\) −22.0527 14.6394i −1.23278 0.818366i
\(321\) 0.591726 10.2007i 0.0330269 0.569346i
\(322\) 34.9314 + 4.00079i 1.94665 + 0.222956i
\(323\) −2.74580 9.05169i −0.152780 0.503649i
\(324\) 11.8452 + 13.5532i 0.658069 + 0.752958i
\(325\) −1.11783 11.3495i −0.0620062 0.629559i
\(326\) 0.891813 + 4.88734i 0.0493930 + 0.270685i
\(327\) −9.03175 6.82321i −0.499457 0.377325i
\(328\) −8.33340 33.0577i −0.460135 1.82531i
\(329\) −6.43686 + 4.30097i −0.354876 + 0.237120i
\(330\) 4.81834 + 0.356263i 0.265241 + 0.0196116i
\(331\) −8.72229 16.3183i −0.479420 0.896932i −0.999094 0.0425673i \(-0.986446\pi\)
0.519673 0.854365i \(-0.326054\pi\)
\(332\) −2.98434 6.03638i −0.163787 0.331289i
\(333\) 1.34050 + 0.291416i 0.0734592 + 0.0159695i
\(334\) 3.76240 4.43902i 0.205870 0.242892i
\(335\) −5.66407 13.6743i −0.309461 0.747106i
\(336\) 18.9083 + 19.8071i 1.03153 + 1.08057i
\(337\) 8.70559 21.0172i 0.474224 1.14488i −0.488055 0.872813i \(-0.662293\pi\)
0.962279 0.272065i \(-0.0877065\pi\)
\(338\) −6.03001 11.7250i −0.327989 0.637754i
\(339\) 14.5235 + 19.9496i 0.788809 + 1.08351i
\(340\) −20.9026 + 36.2883i −1.13360 + 1.96801i
\(341\) −0.255668 + 0.842825i −0.0138452 + 0.0456415i
\(342\) 6.12666 1.63606i 0.331292 0.0884681i
\(343\) 1.25053 6.28684i 0.0675223 0.339457i
\(344\) −0.904091 6.03236i −0.0487453 0.325243i
\(345\) −35.7034 + 4.97335i −1.92220 + 0.267756i
\(346\) 0.914486 4.24445i 0.0491631 0.228183i
\(347\) −1.79621 1.47411i −0.0964258 0.0791346i 0.584945 0.811073i \(-0.301116\pi\)
−0.681371 + 0.731938i \(0.738616\pi\)
\(348\) 20.5467 + 10.7587i 1.10142 + 0.576725i
\(349\) −8.61947 + 16.1259i −0.461390 + 0.863199i 0.538400 + 0.842689i \(0.319029\pi\)
−0.999790 + 0.0205099i \(0.993471\pi\)
\(350\) −9.14432 31.9611i −0.488784 1.70839i
\(351\) 5.72079 + 8.15794i 0.305353 + 0.435439i
\(352\) 2.56599 2.18817i 0.136768 0.116630i
\(353\) −20.7553 20.7553i −1.10469 1.10469i −0.993836 0.110857i \(-0.964641\pi\)
−0.110857 0.993836i \(-0.535359\pi\)
\(354\) −6.95662 + 10.9815i −0.369740 + 0.583659i
\(355\) −10.0375 + 18.7789i −0.532736 + 0.996680i
\(356\) −0.779246 + 24.5565i −0.0413000 + 1.30149i
\(357\) 29.3776 31.8418i 1.55482 1.68525i
\(358\) −1.76693 2.73741i −0.0933850 0.144676i
\(359\) 24.0249 4.77884i 1.26798 0.252218i 0.485140 0.874436i \(-0.338769\pi\)
0.782843 + 0.622219i \(0.213769\pi\)
\(360\) −23.8437 14.8219i −1.25668 0.781182i
\(361\) −3.27088 + 16.4438i −0.172151 + 0.865464i
\(362\) −19.2148 8.31846i −1.00991 0.437209i
\(363\) 6.36473 17.3036i 0.334062 0.908202i
\(364\) 9.23969 + 12.0164i 0.484291 + 0.629832i
\(365\) 26.5805 21.8140i 1.39129 1.14180i
\(366\) 11.6244 30.1195i 0.607616 1.57437i
\(367\) 11.5833 27.9646i 0.604645 1.45974i −0.264106 0.964494i \(-0.585077\pi\)
0.868751 0.495249i \(-0.164923\pi\)
\(368\) −15.2769 + 19.9922i −0.796365 + 1.04216i
\(369\) −9.88217 34.7834i −0.514445 1.81075i
\(370\) −2.13241 + 0.175924i −0.110859 + 0.00914587i
\(371\) 4.62046 46.9123i 0.239882 2.43557i
\(372\) 3.58799 3.64957i 0.186028 0.189221i
\(373\) −13.2010 24.6973i −0.683522 1.27878i −0.949187 0.314714i \(-0.898091\pi\)
0.265665 0.964065i \(-0.414409\pi\)
\(374\) −3.71237 3.83204i −0.191962 0.198150i
\(375\) 2.74988 + 4.68143i 0.142003 + 0.241748i
\(376\) −0.280156 5.53288i −0.0144479 0.285337i
\(377\) 10.6748 + 7.13269i 0.549781 + 0.367352i
\(378\) 20.6738 + 20.4003i 1.06334 + 1.04928i
\(379\) −0.252166 2.56028i −0.0129529 0.131513i 0.986533 0.163559i \(-0.0522975\pi\)
−0.999486 + 0.0320465i \(0.989798\pi\)
\(380\) −8.39403 + 5.23142i −0.430605 + 0.268366i
\(381\) 6.27190 + 26.0142i 0.321319 + 1.33275i
\(382\) −17.6268 + 14.0041i −0.901867 + 0.716510i
\(383\) −13.6906 −0.699559 −0.349779 0.936832i \(-0.613743\pi\)
−0.349779 + 0.936832i \(0.613743\pi\)
\(384\) −19.1075 + 4.34767i −0.975077 + 0.221866i
\(385\) 7.79599 0.397320
\(386\) −1.99010 + 1.58109i −0.101294 + 0.0804751i
\(387\) −1.14960 6.36679i −0.0584374 0.323642i
\(388\) 7.83488 + 12.5714i 0.397756 + 0.638215i
\(389\) 1.42902 + 14.5090i 0.0724539 + 0.735637i 0.960944 + 0.276742i \(0.0892547\pi\)
−0.888490 + 0.458895i \(0.848245\pi\)
\(390\) −12.2500 9.56344i −0.620304 0.484264i
\(391\) 33.0988 + 22.1159i 1.67388 + 1.11845i
\(392\) 18.0935 + 16.3495i 0.913860 + 0.825774i
\(393\) −27.9839 + 16.4378i −1.41160 + 0.829177i
\(394\) 9.71642 + 10.0296i 0.489506 + 0.505286i
\(395\) −18.8676 35.2987i −0.949330 1.77607i
\(396\) 2.65111 2.40115i 0.133223 0.120662i
\(397\) −1.58664 + 16.1094i −0.0796312 + 0.808509i 0.869564 + 0.493821i \(0.164400\pi\)
−0.949195 + 0.314689i \(0.898100\pi\)
\(398\) −5.47086 + 0.451347i −0.274230 + 0.0226240i
\(399\) 9.66427 3.36169i 0.483818 0.168295i
\(400\) 22.9913 + 6.11110i 1.14956 + 0.305555i
\(401\) 0.00672810 0.0162431i 0.000335985 0.000811140i −0.923711 0.383089i \(-0.874860\pi\)
0.924047 + 0.382278i \(0.124860\pi\)
\(402\) −10.2225 3.94531i −0.509854 0.196774i
\(403\) 2.18996 1.79725i 0.109089 0.0895274i
\(404\) 14.9815 11.5196i 0.745358 0.573122i
\(405\) −25.7484 14.9587i −1.27945 0.743301i
\(406\) 34.3435 + 14.8680i 1.70444 + 0.737886i
\(407\) 0.0531815 0.267361i 0.00263611 0.0132526i
\(408\) 8.78136 + 29.7335i 0.434742 + 1.47203i
\(409\) −3.70841 + 0.737648i −0.183369 + 0.0364743i −0.285920 0.958253i \(-0.592299\pi\)
0.102552 + 0.994728i \(0.467299\pi\)
\(410\) 30.5863 + 47.3857i 1.51055 + 2.34021i
\(411\) 15.4983 + 14.2989i 0.764474 + 0.705311i
\(412\) −15.3142 0.485963i −0.754476 0.0239417i
\(413\) −9.88789 + 18.4989i −0.486551 + 0.910273i
\(414\) −15.5631 + 21.6794i −0.764884 + 1.06548i
\(415\) 7.87718 + 7.87718i 0.386676 + 0.386676i
\(416\) −10.7731 + 1.26672i −0.528195 + 0.0621060i
\(417\) −11.0767 + 9.86208i −0.542429 + 0.482948i
\(418\) −0.346621 1.21151i −0.0169538 0.0592567i
\(419\) −16.0453 + 30.0187i −0.783866 + 1.46651i 0.0980904 + 0.995178i \(0.468727\pi\)
−0.881956 + 0.471332i \(0.843773\pi\)
\(420\) −40.1325 21.0142i −1.95827 1.02539i
\(421\) 0.217124 + 0.178189i 0.0105820 + 0.00868441i 0.639669 0.768650i \(-0.279071\pi\)
−0.629087 + 0.777335i \(0.716571\pi\)
\(422\) −0.510844 + 2.37101i −0.0248675 + 0.115419i
\(423\) −0.472289 5.85702i −0.0229635 0.284778i
\(424\) 27.1253 + 20.0543i 1.31732 + 0.973923i
\(425\) 7.34280 36.9148i 0.356178 1.79063i
\(426\) 4.94221 + 14.9690i 0.239451 + 0.725251i
\(427\) 15.1221 49.8509i 0.731810 2.41245i
\(428\) 10.2237 + 5.88901i 0.494183 + 0.284656i
\(429\) 1.60071 1.16534i 0.0772831 0.0562630i
\(430\) 4.61514 + 8.97383i 0.222562 + 0.432757i
\(431\) 10.2218 24.6777i 0.492368 1.18868i −0.461144 0.887325i \(-0.652561\pi\)
0.953512 0.301356i \(-0.0974392\pi\)
\(432\) −20.1198 + 5.21463i −0.968016 + 0.250889i
\(433\) −0.0200990 0.0485232i −0.000965894 0.00233188i 0.923396 0.383849i \(-0.125402\pi\)
−0.924362 + 0.381517i \(0.875402\pi\)
\(434\) 5.33950 6.29974i 0.256304 0.302397i
\(435\) −37.9025 5.96583i −1.81729 0.286040i
\(436\) 11.7168 5.79269i 0.561132 0.277420i
\(437\) 4.43198 + 8.29165i 0.212010 + 0.396644i
\(438\) 1.87710 25.3871i 0.0896913 1.21304i
\(439\) 10.8799 7.26975i 0.519271 0.346966i −0.268154 0.963376i \(-0.586414\pi\)
0.787425 + 0.616410i \(0.211414\pi\)
\(440\) −2.86094 + 4.78951i −0.136390 + 0.228331i
\(441\) 19.7004 + 16.7604i 0.938116 + 0.798112i
\(442\) 3.08071 + 16.8830i 0.146535 + 0.803043i
\(443\) −0.861845 8.75046i −0.0409475 0.415747i −0.993706 0.112018i \(-0.964268\pi\)
0.952759 0.303728i \(-0.0982316\pi\)
\(444\) −0.994446 + 1.23298i −0.0471943 + 0.0585147i
\(445\) −11.7987 38.8951i −0.559312 1.84380i
\(446\) −19.2178 2.20107i −0.909989 0.104224i
\(447\) 5.13156 + 0.297674i 0.242714 + 0.0140795i
\(448\) −30.2302 + 9.26964i −1.42824 + 0.437949i
\(449\) 5.31942 0.251039 0.125519 0.992091i \(-0.459940\pi\)
0.125519 + 0.992091i \(0.459940\pi\)
\(450\) 24.5686 + 5.75059i 1.15818 + 0.271085i
\(451\) −6.87610 + 2.08584i −0.323783 + 0.0982184i
\(452\) −28.1084 + 4.66968i −1.32211 + 0.219643i
\(453\) −23.3045 + 0.938073i −1.09494 + 0.0440745i
\(454\) −4.79259 26.2645i −0.224928 1.23265i
\(455\) −20.8504 13.9318i −0.977483 0.653133i
\(456\) −1.48128 + 7.17096i −0.0693674 + 0.335811i
\(457\) −13.7933 20.6431i −0.645222 0.965643i −0.999534 0.0305162i \(-0.990285\pi\)
0.354312 0.935127i \(-0.384715\pi\)
\(458\) 28.5190 + 0.452381i 1.33261 + 0.0211384i
\(459\) 10.2518 + 31.2449i 0.478512 + 1.45839i
\(460\) 13.3403 39.4291i 0.621995 1.83839i
\(461\) −1.07803 + 10.9454i −0.0502089 + 0.509780i 0.936885 + 0.349638i \(0.113695\pi\)
−0.987094 + 0.160142i \(0.948805\pi\)
\(462\) 3.98043 4.17933i 0.185186 0.194440i
\(463\) −19.8008 + 8.20175i −0.920220 + 0.381167i −0.791960 0.610573i \(-0.790939\pi\)
−0.128260 + 0.991741i \(0.540939\pi\)
\(464\) −21.7375 + 15.6429i −1.00914 + 0.726205i
\(465\) −3.68765 + 7.62151i −0.171011 + 0.353439i
\(466\) 3.22407 + 6.26899i 0.149352 + 0.290405i
\(467\) 19.8906 16.3238i 0.920429 0.755377i −0.0494975 0.998774i \(-0.515762\pi\)
0.969927 + 0.243398i \(0.0782620\pi\)
\(468\) −11.3814 + 1.68423i −0.526105 + 0.0778536i
\(469\) −16.9194 5.13243i −0.781264 0.236994i
\(470\) 3.37256 + 8.52193i 0.155565 + 0.393087i
\(471\) −14.3092 3.71924i −0.659332 0.171373i
\(472\) −7.73632 12.8634i −0.356093 0.592084i
\(473\) −1.26093 + 0.250814i −0.0579775 + 0.0115324i
\(474\) −28.5565 7.90798i −1.31164 0.363226i
\(475\) 5.63937 6.87159i 0.258752 0.315290i
\(476\) 17.6686 + 46.8018i 0.809837 + 2.14516i
\(477\) 29.3932 + 20.4020i 1.34582 + 0.934145i
\(478\) 2.88895 + 10.0974i 0.132137 + 0.461845i
\(479\) 28.1032 + 28.1032i 1.28407 + 1.28407i 0.938331 + 0.345738i \(0.112371\pi\)
0.345738 + 0.938331i \(0.387629\pi\)
\(480\) 27.6379 16.9440i 1.26149 0.773382i
\(481\) −0.620022 + 0.620022i −0.0282706 + 0.0282706i
\(482\) −20.6118 11.4412i −0.938841 0.521132i
\(483\) −22.4644 + 36.7378i −1.02217 + 1.67163i
\(484\) 14.5687 + 15.5236i 0.662215 + 0.705620i
\(485\) −18.9432 15.5463i −0.860167 0.705921i
\(486\) −21.1656 + 6.16585i −0.960091 + 0.279688i
\(487\) −2.51031 12.6202i −0.113753 0.571876i −0.995055 0.0993226i \(-0.968332\pi\)
0.881302 0.472553i \(-0.156668\pi\)
\(488\) 25.0768 + 27.5845i 1.13517 + 1.24869i
\(489\) −5.88891 1.53065i −0.266306 0.0692182i
\(490\) −37.0225 16.0278i −1.67250 0.724061i
\(491\) −1.75007 + 5.76922i −0.0789797 + 0.260361i −0.987534 0.157406i \(-0.949687\pi\)
0.908554 + 0.417767i \(0.137187\pi\)
\(492\) 41.0195 + 7.79704i 1.84930 + 0.351518i
\(493\) 26.8797 + 32.7530i 1.21060 + 1.47512i
\(494\) −1.23798 + 3.85961i −0.0556994 + 0.173652i
\(495\) −2.88141 + 5.16841i −0.129510 + 0.232303i
\(496\) 1.91081 + 5.59221i 0.0857981 + 0.251098i
\(497\) 9.73396 + 23.4999i 0.436628 + 1.05411i
\(498\) 8.24475 0.200965i 0.369456 0.00900545i
\(499\) 35.7171 + 3.51783i 1.59892 + 0.157480i 0.857832 0.513930i \(-0.171811\pi\)
0.741086 + 0.671410i \(0.234311\pi\)
\(500\) −6.25542 + 0.416302i −0.279751 + 0.0186176i
\(501\) 2.98991 + 6.46926i 0.133579 + 0.289025i
\(502\) 8.09763 + 8.35867i 0.361415 + 0.373066i
\(503\) −10.9992 + 7.34945i −0.490431 + 0.327696i −0.776075 0.630640i \(-0.782792\pi\)
0.285644 + 0.958336i \(0.407792\pi\)
\(504\) −31.7561 + 10.7852i −1.41453 + 0.480411i
\(505\) −17.3695 + 25.9953i −0.772934 + 1.15678i
\(506\) 4.36210 + 3.01582i 0.193919 + 0.134070i
\(507\) 16.1348 0.649473i 0.716572 0.0288441i
\(508\) −30.0991 6.98631i −1.33543 0.309967i
\(509\) 2.66082 + 8.77154i 0.117939 + 0.388792i 0.995957 0.0898361i \(-0.0286343\pi\)
−0.878018 + 0.478628i \(0.841134\pi\)
\(510\) −29.5258 41.9388i −1.30742 1.85708i
\(511\) 41.0759i 1.81709i
\(512\) 5.39892 21.9739i 0.238601 0.971118i
\(513\) −1.34327 + 7.64949i −0.0593070 + 0.337733i
\(514\) −1.74272 + 1.38455i −0.0768682 + 0.0610698i
\(515\) 24.2562 7.35804i 1.06886 0.324234i
\(516\) 7.16713 + 2.10770i 0.315515 + 0.0927862i
\(517\) −1.16203 + 0.114450i −0.0511059 + 0.00503349i
\(518\) −1.45355 + 2.10242i −0.0638651 + 0.0923749i
\(519\) 4.24296 + 3.20542i 0.186245 + 0.140703i
\(520\) 16.2107 7.69695i 0.710887 0.337534i
\(521\) −1.86065 2.78467i −0.0815168 0.121998i 0.788471 0.615072i \(-0.210873\pi\)
−0.869987 + 0.493074i \(0.835873\pi\)
\(522\) −22.5503 + 17.2730i −0.986999 + 0.756021i
\(523\) −30.9639 + 16.5506i −1.35396 + 0.723705i −0.979100 0.203377i \(-0.934808\pi\)
−0.374857 + 0.927083i \(0.622308\pi\)
\(524\) −2.48850 37.3926i −0.108711 1.63350i
\(525\) 40.2197 + 6.33054i 1.75533 + 0.276288i
\(526\) 20.7191 1.70933i 0.903398 0.0745304i
\(527\) 8.63807 3.57801i 0.376280 0.155860i
\(528\) 1.10687 + 3.97912i 0.0481704 + 0.173169i
\(529\) −15.3058 6.33988i −0.665471 0.275647i
\(530\) −53.1402 17.0449i −2.30826 0.740382i
\(531\) −8.60943 13.3925i −0.373618 0.581185i
\(532\) −1.53044 + 11.7156i −0.0663532 + 0.507938i
\(533\) 22.1177 + 6.70932i 0.958023 + 0.290613i
\(534\) −26.8753 13.5337i −1.16301 0.585661i
\(535\) −19.1438 3.80793i −0.827657 0.164631i
\(536\) 9.36215 8.51104i 0.404383 0.367621i
\(537\) 3.95222 0.550531i 0.170551 0.0237572i
\(538\) 11.6400 + 18.0332i 0.501836 + 0.777467i
\(539\) 3.26066 3.97313i 0.140447 0.171135i
\(540\) 28.7646 18.8393i 1.23783 0.810713i
\(541\) 17.3254 + 9.26062i 0.744877 + 0.398145i 0.799738 0.600349i \(-0.204972\pi\)
−0.0548609 + 0.998494i \(0.517472\pi\)
\(542\) 17.9786 32.3893i 0.772249 1.39124i
\(543\) 19.1526 17.0524i 0.821916 0.731788i
\(544\) −35.2369 6.32036i −1.51077 0.270983i
\(545\) −15.2898 + 15.2898i −0.654945 + 0.654945i
\(546\) −18.1144 + 4.06441i −0.775223 + 0.173941i
\(547\) −14.1983 7.58915i −0.607076 0.324489i 0.139059 0.990284i \(-0.455592\pi\)
−0.746134 + 0.665795i \(0.768092\pi\)
\(548\) −22.7797 + 8.59977i −0.973102 + 0.367364i
\(549\) 27.4599 + 28.4503i 1.17196 + 1.21423i
\(550\) 1.05607 4.90161i 0.0450312 0.209005i
\(551\) 1.95230 + 9.81489i 0.0831709 + 0.418128i
\(552\) −14.3262 27.2831i −0.609764 1.16124i
\(553\) −46.8935 9.32771i −1.99412 0.396654i
\(554\) 35.1846 13.9243i 1.49485 0.591589i
\(555\) 0.904649 2.45944i 0.0384002 0.104397i
\(556\) −4.44891 16.5372i −0.188676 0.701334i
\(557\) −2.51777 3.06791i −0.106681 0.129991i 0.716933 0.697143i \(-0.245546\pi\)
−0.823614 + 0.567151i \(0.808046\pi\)
\(558\) 2.20297 + 5.86826i 0.0932592 + 0.248423i
\(559\) 3.82058 + 1.58254i 0.161593 + 0.0669341i
\(560\) 42.4584 30.5543i 1.79420 1.29116i
\(561\) 6.17175 2.14682i 0.260571 0.0906390i
\(562\) 12.6532 14.9287i 0.533742 0.629728i
\(563\) 32.8836 + 3.23875i 1.38588 + 0.136497i 0.763292 0.646054i \(-0.223582\pi\)
0.622586 + 0.782551i \(0.286082\pi\)
\(564\) 6.29044 + 2.54309i 0.264875 + 0.107084i
\(565\) 41.5723 22.2208i 1.74896 0.934838i
\(566\) 0.634770 40.0172i 0.0266814 1.68205i
\(567\) −33.3257 + 12.4403i −1.39955 + 0.522443i
\(568\) −18.0094 2.64377i −0.755659 0.110930i
\(569\) −11.2767 + 16.8767i −0.472743 + 0.707510i −0.988834 0.149024i \(-0.952387\pi\)
0.516090 + 0.856534i \(0.327387\pi\)
\(570\) −1.48076 12.0228i −0.0620221 0.503581i
\(571\) −8.31363 + 0.818821i −0.347915 + 0.0342666i −0.270465 0.962730i \(-0.587178\pi\)
−0.0774492 + 0.996996i \(0.524678\pi\)
\(572\) 0.374685 + 2.25536i 0.0156664 + 0.0943014i
\(573\) −6.46238 26.8042i −0.269970 1.11976i
\(574\) 66.9356 + 7.66632i 2.79384 + 0.319986i
\(575\) 37.4104i 1.56012i
\(576\) 5.02777 23.4675i 0.209490 0.977811i
\(577\) 9.05047i 0.376776i −0.982095 0.188388i \(-0.939674\pi\)
0.982095 0.188388i \(-0.0603262\pi\)
\(578\) −3.70919 + 32.3854i −0.154282 + 1.34706i
\(579\) −0.729615 3.02625i −0.0303218 0.125767i
\(580\) 25.7705 36.0389i 1.07006 1.49644i
\(581\) 13.2434 1.30436i 0.549429 0.0541140i
\(582\) −18.0061 + 2.21767i −0.746377 + 0.0919252i
\(583\) 3.95009 5.91173i 0.163596 0.244839i
\(584\) 25.2353 + 15.0739i 1.04424 + 0.623762i
\(585\) 16.9426 8.67373i 0.700489 0.358615i
\(586\) −11.3455 0.179967i −0.468677 0.00743435i
\(587\) 16.1140 8.61312i 0.665097 0.355502i −0.104052 0.994572i \(-0.533181\pi\)
0.769148 + 0.639070i \(0.220681\pi\)
\(588\) −27.4950 + 11.6639i −1.13388 + 0.481010i
\(589\) 2.19761 + 0.216446i 0.0905510 + 0.00891850i
\(590\) 18.9436 + 16.0561i 0.779895 + 0.661019i
\(591\) −16.1534 + 5.61890i −0.664461 + 0.231131i
\(592\) −0.758217 1.66453i −0.0311625 0.0684118i
\(593\) 22.0148 + 9.11883i 0.904040 + 0.374465i 0.785772 0.618516i \(-0.212266\pi\)
0.118268 + 0.992982i \(0.462266\pi\)
\(594\) 1.29954 + 4.18355i 0.0533209 + 0.171653i
\(595\) −52.5023 63.9743i −2.15239 2.62269i
\(596\) −2.96253 + 5.14316i −0.121350 + 0.210672i
\(597\) 2.32094 6.30986i 0.0949898 0.258245i
\(598\) −6.27705 15.8611i −0.256688 0.648610i
\(599\) 8.42861 + 1.67656i 0.344384 + 0.0685022i 0.364252 0.931300i \(-0.381325\pi\)
−0.0198682 + 0.999803i \(0.506325\pi\)
\(600\) −18.6489 + 22.3861i −0.761337 + 0.913907i
\(601\) 1.39211 + 6.99863i 0.0567855 + 0.285480i 0.998736 0.0502732i \(-0.0160092\pi\)
−0.941950 + 0.335753i \(0.891009\pi\)
\(602\) 11.7840 + 2.53892i 0.480280 + 0.103479i
\(603\) 9.65601 9.31987i 0.393223 0.379534i
\(604\) 11.0902 24.5421i 0.451254 0.998602i
\(605\) −31.0610 16.6024i −1.26281 0.674985i
\(606\) 5.06732 + 22.5841i 0.205846 + 0.917418i
\(607\) −2.36253 + 2.36253i −0.0958923 + 0.0958923i −0.753426 0.657533i \(-0.771600\pi\)
0.657533 + 0.753426i \(0.271600\pi\)
\(608\) −6.63595 5.23960i −0.269123 0.212494i
\(609\) −34.2324 + 30.4786i −1.38717 + 1.23505i
\(610\) −53.9226 29.9313i −2.18326 1.21188i
\(611\) 3.31238 + 1.77050i 0.134005 + 0.0716269i
\(612\) −37.5580 5.58453i −1.51819 0.225741i
\(613\) 1.44970 1.76646i 0.0585528 0.0713468i −0.742910 0.669391i \(-0.766555\pi\)
0.801463 + 0.598044i \(0.204055\pi\)
\(614\) 31.8574 20.5632i 1.28566 0.829862i
\(615\) −68.4147 + 9.52994i −2.75875 + 0.384284i
\(616\) 2.25460 + 6.27144i 0.0908405 + 0.252683i
\(617\) −21.6635 4.30914i −0.872139 0.173479i −0.261323 0.965251i \(-0.584159\pi\)
−0.610817 + 0.791772i \(0.709159\pi\)
\(618\) 8.44006 16.7603i 0.339509 0.674197i
\(619\) 10.2301 + 3.10327i 0.411182 + 0.124731i 0.489097 0.872229i \(-0.337326\pi\)
−0.0779150 + 0.996960i \(0.524826\pi\)
\(620\) −5.95939 7.75032i −0.239335 0.311260i
\(621\) −16.0527 28.4713i −0.644174 1.14251i
\(622\) −1.56212 + 4.87018i −0.0626354 + 0.195276i
\(623\) −44.8575 18.5806i −1.79718 0.744415i
\(624\) 4.15054 12.6202i 0.166155 0.505213i
\(625\) −17.8914 + 7.41085i −0.715655 + 0.296434i
\(626\) 0.959449 + 11.6297i 0.0383473 + 0.464815i
\(627\) 1.52455 + 0.239963i 0.0608847 + 0.00958321i
\(628\) 11.2434 12.8465i 0.448659 0.512633i
\(629\) −2.55213 + 1.36414i −0.101760 + 0.0543920i
\(630\) 44.0460 33.7383i 1.75483 1.34417i
\(631\) 2.27400 + 3.40328i 0.0905265 + 0.135482i 0.873969 0.485982i \(-0.161538\pi\)
−0.783442 + 0.621465i \(0.786538\pi\)
\(632\) 22.9394 25.3863i 0.912478 1.00981i
\(633\) −2.37017 1.79059i −0.0942060 0.0711697i
\(634\) 19.6949 + 13.6165i 0.782186 + 0.540779i
\(635\) 50.8718 5.01044i 2.01879 0.198833i
\(636\) −36.2696 + 19.7851i −1.43818 + 0.784531i
\(637\) −15.8209 + 4.79920i −0.626845 + 0.190151i
\(638\) 3.51123 + 4.41957i 0.139011 + 0.174972i
\(639\) −19.1771 2.23238i −0.758635 0.0883117i
\(640\) 3.19002 + 37.2973i 0.126097 + 1.47431i
\(641\) 27.2228i 1.07523i −0.843189 0.537617i \(-0.819324\pi\)
0.843189 0.537617i \(-0.180676\pi\)
\(642\) −11.8157 + 8.31848i −0.466328 + 0.328304i
\(643\) 7.16421 + 23.6172i 0.282529 + 0.931373i 0.977249 + 0.212093i \(0.0680281\pi\)
−0.694720 + 0.719280i \(0.744472\pi\)
\(644\) −26.2997 42.1989i −1.03635 1.66287i
\(645\) −12.3490 + 0.497081i −0.486240 + 0.0195726i
\(646\) −7.60735 + 11.0033i −0.299307 + 0.432920i
\(647\) −25.5496 + 38.2376i −1.00446 + 1.50328i −0.146727 + 0.989177i \(0.546874\pi\)
−0.857731 + 0.514099i \(0.828126\pi\)
\(648\) 4.58697 25.0392i 0.180193 0.983631i
\(649\) −2.63056 + 1.75768i −0.103259 + 0.0689952i
\(650\) −11.5839 + 11.2221i −0.454358 + 0.440169i
\(651\) 4.24320 + 9.18099i 0.166304 + 0.359831i
\(652\) 4.62718 5.28697i 0.181214 0.207054i
\(653\) 30.9219 + 3.04554i 1.21007 + 0.119181i 0.682856 0.730553i \(-0.260738\pi\)
0.527211 + 0.849734i \(0.323238\pi\)
\(654\) 0.390079 + 16.0033i 0.0152533 + 0.625778i
\(655\) 23.7252 + 57.2777i 0.927021 + 2.23803i
\(656\) −29.2736 + 38.3090i −1.14294 + 1.49571i
\(657\) 27.2316 + 15.1817i 1.06241 + 0.592296i
\(658\) 10.4251 + 3.34386i 0.406411 + 0.130357i
\(659\) −6.31593 7.69598i −0.246034 0.299793i 0.635321 0.772248i \(-0.280868\pi\)
−0.881355 + 0.472455i \(0.843368\pi\)
\(660\) −3.84428 5.64873i −0.149639 0.219876i
\(661\) 0.659604 2.17442i 0.0256556 0.0845753i −0.943178 0.332289i \(-0.892179\pi\)
0.968833 + 0.247713i \(0.0796792\pi\)
\(662\) −10.3960 + 24.0136i −0.404051 + 0.933314i
\(663\) −20.3429 5.28752i −0.790051 0.205350i
\(664\) −4.05867 + 8.61484i −0.157507 + 0.334321i
\(665\) −3.81331 19.1708i −0.147874 0.743411i
\(666\) −0.856581 1.74070i −0.0331918 0.0674506i
\(667\) −32.5550 26.7172i −1.26053 1.03449i
\(668\) −8.22515 0.261007i −0.318241 0.0100987i
\(669\) 12.3590 20.2116i 0.477825 0.781425i
\(670\) −10.1587 + 18.3013i −0.392464 + 0.707040i
\(671\) 5.55595 5.55595i 0.214485 0.214485i
\(672\) 5.29842 38.3617i 0.204391 1.47983i
\(673\) 10.9849 + 10.9849i 0.423435 + 0.423435i 0.886385 0.462949i \(-0.153209\pi\)
−0.462949 + 0.886385i \(0.653209\pi\)
\(674\) −30.9306 + 8.84948i −1.19140 + 0.340869i
\(675\) −19.0621 + 24.3242i −0.733702 + 0.936238i
\(676\) −7.67829 + 16.9916i −0.295319 + 0.653525i
\(677\) 14.8217 18.0603i 0.569644 0.694113i −0.405900 0.913918i \(-0.633042\pi\)
0.975544 + 0.219804i \(0.0705418\pi\)
\(678\) 9.31344 33.6317i 0.357681 1.29162i
\(679\) −28.7113 + 5.71103i −1.10184 + 0.219169i
\(680\) 58.5701 8.77811i 2.24606 0.336625i
\(681\) 31.6469 + 8.22567i 1.21271 + 0.315208i
\(682\) 1.15817 0.458347i 0.0443486 0.0175510i
\(683\) −40.4530 12.2713i −1.54789 0.469547i −0.603221 0.797574i \(-0.706116\pi\)
−0.944668 + 0.328027i \(0.893616\pi\)
\(684\) −7.20132 5.34474i −0.275350 0.204361i
\(685\) 31.1380 25.5543i 1.18972 0.976381i
\(686\) −8.06149 + 4.14593i −0.307789 + 0.158292i
\(687\) −15.2148 + 31.4455i −0.580482 + 1.19972i
\(688\) −5.88425 + 6.30786i −0.224335 + 0.240485i
\(689\) −21.1291 + 8.75196i −0.804955 + 0.333423i
\(690\) 36.9158 + 35.1590i 1.40536 + 1.33848i
\(691\) −1.15627 + 11.7398i −0.0439865 + 0.446602i 0.947816 + 0.318819i \(0.103286\pi\)
−0.991802 + 0.127783i \(0.959214\pi\)
\(692\) −5.50434 + 2.72130i −0.209244 + 0.103448i
\(693\) 2.58897 + 6.57747i 0.0983467 + 0.249858i
\(694\) −0.0521198 + 3.28574i −0.00197844 + 0.124725i
\(695\) 15.7398 + 23.5563i 0.597045 + 0.893541i
\(696\) −6.16225 32.2158i −0.233579 1.22114i
\(697\) 63.4238 + 42.3784i 2.40235 + 1.60520i
\(698\) 25.4388 4.64192i 0.962872 0.175699i
\(699\) −8.62680 + 0.347254i −0.326295 + 0.0131343i
\(700\) −27.3459 + 38.2422i −1.03358 + 1.44542i
\(701\) 18.8505 5.71824i 0.711974 0.215975i 0.0865357 0.996249i \(-0.472420\pi\)
0.625438 + 0.780274i \(0.284920\pi\)
\(702\) 4.00057 13.5113i 0.150992 0.509950i
\(703\) −0.683470 −0.0257776
\(704\) −4.68028 0.916339i −0.176395 0.0345358i
\(705\) −11.2060 0.650041i −0.422041 0.0244820i
\(706\) −4.72344 + 41.2410i −0.177769 + 1.55212i
\(707\) 10.8413 + 35.7391i 0.407731 + 1.34411i
\(708\) 18.2796 1.95757i 0.686988 0.0735698i
\(709\) 1.46977 + 14.9229i 0.0551985 + 0.560440i 0.982518 + 0.186169i \(0.0596071\pi\)
−0.927319 + 0.374271i \(0.877893\pi\)
\(710\) 29.6239 5.40560i 1.11177 0.202869i
\(711\) 23.5158 27.6409i 0.881912 1.03662i
\(712\) 27.8767 20.7399i 1.04472 0.777259i
\(713\) −7.72706 + 5.16306i −0.289381 + 0.193358i
\(714\) −61.1021 4.51783i −2.28669 0.169076i
\(715\) −1.78295 3.33567i −0.0666787 0.124747i
\(716\) −1.47672 + 4.36465i −0.0551876 + 0.163115i
\(717\) −12.7065 2.00000i −0.474534 0.0746913i
\(718\) −26.4266 22.3986i −0.986233 0.835907i
\(719\) 19.2802 + 46.5466i 0.719031 + 1.73589i 0.676092 + 0.736817i \(0.263672\pi\)
0.0429389 + 0.999078i \(0.486328\pi\)
\(720\) 4.56353 + 39.4411i 0.170073 + 1.46988i
\(721\) 11.5874 27.9746i 0.431539 1.04183i
\(722\) 21.0856 10.8441i 0.784724 0.403574i
\(723\) 23.3420 16.9933i 0.868098 0.631986i
\(724\) 7.69255 + 28.5943i 0.285891 + 1.06270i
\(725\) −11.5589 + 38.1046i −0.429287 + 1.41517i
\(726\) −24.7593 + 8.17460i −0.918904 + 0.303388i
\(727\) 3.45867 17.3879i 0.128275 0.644882i −0.862130 0.506687i \(-0.830870\pi\)
0.990405 0.138195i \(-0.0441300\pi\)
\(728\) 5.17741 20.8021i 0.191888 0.770977i
\(729\) 4.06985 26.6915i 0.150735 0.988574i
\(730\) −47.5378 10.2422i −1.75945 0.379082i
\(731\) 10.5500 + 8.65812i 0.390204 + 0.320232i
\(732\) −43.5773 + 13.6250i −1.61066 + 0.503595i
\(733\) −1.32394 + 2.47691i −0.0489008 + 0.0914869i −0.905185 0.425019i \(-0.860267\pi\)
0.856284 + 0.516506i \(0.172767\pi\)
\(734\) −41.1551 + 11.7748i −1.51906 + 0.434615i
\(735\) 36.9027 32.8561i 1.36118 1.21191i
\(736\) 35.5765 0.671384i 1.31137 0.0247475i
\(737\) −1.88569 1.88569i −0.0694601 0.0694601i
\(738\) −29.8220 + 41.5420i −1.09776 + 1.52918i
\(739\) 20.2602 37.9042i 0.745285 1.39433i −0.167493 0.985873i \(-0.553567\pi\)
0.912778 0.408456i \(-0.133933\pi\)
\(740\) 2.07072 + 2.20645i 0.0761212 + 0.0811106i
\(741\) −3.64860 3.36623i −0.134035 0.123662i
\(742\) −56.0104 + 36.1533i −2.05621 + 1.32723i
\(743\) −12.8386 + 2.55377i −0.471004 + 0.0936886i −0.424885 0.905247i \(-0.639685\pi\)
−0.0461194 + 0.998936i \(0.514685\pi\)
\(744\) −7.19756 0.762368i −0.263875 0.0279498i
\(745\) 1.91562 9.63047i 0.0701829 0.352833i
\(746\) −15.7341 + 36.3440i −0.576065 + 1.33065i
\(747\) −4.03005 + 9.26191i −0.147452 + 0.338876i
\(748\) −0.977365 + 7.48179i −0.0357360 + 0.273561i
\(749\) −18.0239 + 14.7918i −0.658579 + 0.540481i
\(750\) 2.76460 7.16326i 0.100949 0.261565i
\(751\) −2.17195 + 5.24355i −0.0792556 + 0.191340i −0.958541 0.284956i \(-0.908021\pi\)
0.879285 + 0.476296i \(0.158021\pi\)
\(752\) −5.88007 + 5.17758i −0.214424 + 0.188807i
\(753\) −13.4622 + 4.68278i −0.490589 + 0.170650i
\(754\) −1.49283 18.0949i −0.0543657 0.658978i
\(755\) −4.36705 + 44.3394i −0.158933 + 1.61367i
\(756\) 4.40208 40.8384i 0.160102 1.48528i
\(757\) 1.03019 + 1.92735i 0.0374428 + 0.0700506i 0.899947 0.436000i \(-0.143605\pi\)
−0.862504 + 0.506050i \(0.831105\pi\)
\(758\) −2.61315 + 2.53154i −0.0949140 + 0.0919498i
\(759\) −5.60027 + 3.28961i −0.203277 + 0.119405i
\(760\) 13.1771 + 4.69249i 0.477983 + 0.170215i
\(761\) −24.9470 16.6691i −0.904329 0.604253i 0.0140733 0.999901i \(-0.495520\pi\)
−0.918402 + 0.395648i \(0.870520\pi\)
\(762\) 23.2878 29.8299i 0.843629 1.08062i
\(763\) 2.53180 + 25.7058i 0.0916575 + 0.930614i
\(764\) 31.0132 + 7.19848i 1.12202 + 0.260432i
\(765\) 61.8172 11.1618i 2.23501 0.403557i
\(766\) 12.0439 + 15.1596i 0.435163 + 0.547737i
\(767\) 10.1765 0.367453
\(768\) 21.6234 + 17.3329i 0.780265 + 0.625449i
\(769\) 20.0483 0.722959 0.361479 0.932380i \(-0.382272\pi\)
0.361479 + 0.932380i \(0.382272\pi\)
\(770\) −6.85825 8.63245i −0.247154 0.311092i
\(771\) −0.638920 2.65007i −0.0230101 0.0954398i
\(772\) 3.50145 + 0.812723i 0.126020 + 0.0292505i
\(773\) 1.36987 + 13.9086i 0.0492709 + 0.500256i 0.987874 +