Properties

Label 384.2.w.a.251.17
Level $384$
Weight $2$
Character 384.251
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 251.17
Character \(\chi\) \(=\) 384.251
Dual form 384.2.w.a.179.17

$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

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

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 0.597021 + 0.802226i \(0.296351\pi\)
−0.742056 + 0.670338i \(0.766149\pi\)
\(6\) −1.93078 + 1.50734i −0.788240 + 0.615368i
\(7\) −3.28633 + 2.19586i −1.24212 + 0.829956i −0.990452 0.137858i \(-0.955978\pi\)
−0.251665 + 0.967814i \(0.580978\pi\)
\(8\) 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 −0.920718 0.390229i \(-0.872396\pi\)
0.835987 + 0.548749i \(0.184896\pi\)
\(12\) 0.0294756 3.46398i 0.00850888 0.999964i
\(13\) −0.187953 1.90832i −0.0521289 0.529273i −0.985418 0.170149i \(-0.945575\pi\)
0.933290 0.359125i \(-0.116925\pi\)
\(14\) 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 −0.886004 0.463677i \(-0.846530\pi\)
0.298631 0.954369i \(-0.403470\pi\)
\(18\) −3.86298 + 1.75425i −0.910513 + 0.413480i
\(19\) −1.15540 0.948208i −0.265066 0.217534i 0.492467 0.870331i \(-0.336095\pi\)
−0.757533 + 0.652797i \(0.773595\pi\)
\(20\) 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 0.868368 + 0.495920i \(0.165169\pi\)
−0.612487 + 0.790480i \(0.709831\pi\)
\(24\) 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 0.983851 + 0.178988i \(0.0572824\pi\)
−0.397775 + 0.917483i \(0.630218\pi\)
\(30\) −4.33712 6.84644i −0.791847 1.24998i
\(31\) −1.04469 + 1.04469i −0.187632 + 0.187632i −0.794671 0.607040i \(-0.792357\pi\)
0.607040 + 0.794671i \(0.292357\pi\)
\(32\) 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 −0.604889 0.796309i \(-0.706783\pi\)
0.663001 + 0.748619i \(0.269283\pi\)
\(38\) 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 0.514962 + 0.857213i \(0.327806\pi\)
−0.147721 + 0.989029i \(0.547194\pi\)
\(42\) 3.03530 9.19335i 0.468357 1.41856i
\(43\) 0.626022 + 2.06372i 0.0954675 + 0.314714i 0.991648 0.128976i \(-0.0411690\pi\)
−0.896180 + 0.443690i \(0.853669\pi\)
\(44\) 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 0.969071 0.246782i \(-0.0793730\pi\)
−0.859738 + 0.510736i \(0.829373\pi\)
\(48\) −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 −0.119752 0.992804i \(-0.538210\pi\)
0.892017 0.452003i \(-0.149290\pi\)
\(54\) −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 0.900054 + 0.435777i \(0.143527\pi\)
−0.967776 + 0.251812i \(0.918973\pi\)
\(60\) 11.3965 + 1.22045i 1.47128 + 0.157559i
\(61\) 3.82602 12.6127i 0.489871 1.61489i −0.268648 0.963239i \(-0.586577\pi\)
0.758519 0.651651i \(-0.225923\pi\)
\(62\) −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 0.540725 0.841200i \(-0.318150\pi\)
−0.0177493 + 0.999842i \(0.505650\pi\)
\(68\) −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 −0.830985 0.556294i \(-0.812223\pi\)
0.195944 + 0.980615i \(0.437223\pi\)
\(72\) 5.16447 + 6.73262i 0.608639 + 0.793447i
\(73\) 5.77379 8.64109i 0.675771 1.01136i −0.322136 0.946693i \(-0.604401\pi\)
0.997907 0.0646693i \(-0.0205993\pi\)
\(74\) 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 0.909112 0.416551i \(-0.136761\pi\)
0.348294 + 0.937385i \(0.386761\pi\)
\(80\) −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 0.480630 0.876924i \(-0.340408\pi\)
−0.766308 + 0.642474i \(0.777908\pi\)
\(84\) 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 0.786639 0.617413i \(-0.211819\pi\)
0.490486 + 0.871449i \(0.336819\pi\)
\(90\) −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 0.921095 0.389339i \(-0.127296\pi\)
−0.389339 + 0.921095i \(0.627296\pi\)
\(98\) 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 −0.923322 0.384026i \(-0.874537\pi\)
0.196516 + 0.980501i \(0.437037\pi\)
\(102\) 13.4890 + 7.63834i 1.33561 + 0.756309i
\(103\) 1.49458 7.51375i 0.147265 0.740352i −0.834613 0.550837i \(-0.814309\pi\)
0.981878 0.189515i \(-0.0606915\pi\)
\(104\) 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 0.999986 0.00535963i \(-0.00170603\pi\)
−0.834435 + 0.551106i \(0.814206\pi\)
\(108\) 4.81434 9.20989i 0.463260 0.886222i
\(109\) −4.14592 + 5.05182i −0.397108 + 0.483877i −0.932727 0.360582i \(-0.882578\pi\)
0.535620 + 0.844459i \(0.320078\pi\)
\(110\) 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 −0.429314 0.903155i \(-0.641245\pi\)
0.942198 0.335056i \(-0.108755\pi\)
\(114\) 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 \(-0.759598\pi\)
0.728104 0.685467i \(-0.240402\pi\)
\(128\) −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 −0.616565 0.787304i \(-0.711476\pi\)
−0.950058 + 0.312075i \(0.898976\pi\)
\(132\) 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 −0.421244 0.906947i \(-0.638407\pi\)
0.999113 + 0.0421053i \(0.0134065\pi\)
\(138\) −11.6687 10.0620i −0.993306 0.856531i
\(139\) −7.55153 4.03638i −0.640513 0.342361i 0.118961 0.992899i \(-0.462044\pi\)
−0.759474 + 0.650538i \(0.774544\pi\)
\(140\) −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 −0.171805 0.985131i \(-0.554960\pi\)
0.404459 + 0.914556i \(0.367460\pi\)
\(150\) 13.0114 6.55223i 1.06238 0.534988i
\(151\) −13.2070 + 2.62704i −1.07477 + 0.213785i −0.700585 0.713569i \(-0.747078\pi\)
−0.374186 + 0.927354i \(0.622078\pi\)
\(152\) −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 −0.743608 0.668616i \(-0.766887\pi\)
0.142808 + 0.989750i \(0.454387\pi\)
\(158\) −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 −0.588246 0.808682i \(-0.700181\pi\)
0.345582 + 0.938389i \(0.387681\pi\)
\(164\) 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 −0.937218 0.348744i \(-0.886608\pi\)
0.999335 + 0.0364608i \(0.0116084\pi\)
\(168\) −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 −0.693688 0.720276i \(-0.744015\pi\)
0.841768 + 0.539840i \(0.181515\pi\)
\(174\) −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 −0.0119689 0.999928i \(-0.503810\pi\)
0.183337 + 0.983050i \(0.441310\pi\)
\(180\) 18.6940 + 6.68148i 1.39337 + 0.498008i
\(181\) 13.0573 + 6.97925i 0.970538 + 0.518764i 0.878888 0.477028i \(-0.158286\pi\)
0.0916501 + 0.995791i \(0.470786\pi\)
\(182\) −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 \(0.195357\pi\)
−0.817504 + 0.575923i \(0.804643\pi\)
\(192\) 5.99753 + 12.4912i 0.432834 + 0.901474i
\(193\) 1.79727i 0.129370i 0.997906 + 0.0646851i \(0.0206043\pi\)
−0.997906 + 0.0646851i \(0.979396\pi\)
\(194\) −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 −0.258309 0.966062i \(-0.583165\pi\)
−0.441815 + 0.897106i \(0.645665\pi\)
\(198\) 0.163277 2.52394i 0.0116036 0.179369i
\(199\) 2.15652 + 3.22746i 0.152871 + 0.228788i 0.899999 0.435893i \(-0.143567\pi\)
−0.747127 + 0.664681i \(0.768567\pi\)
\(200\) −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 −0.809113 0.587653i \(-0.800052\pi\)
0.734212 + 0.678921i \(0.237552\pi\)
\(212\) −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 0.952428 0.304763i \(-0.0985771\pi\)
−0.304763 + 0.952428i \(0.598577\pi\)
\(224\) 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 0.185112 0.982717i \(-0.440735\pi\)
0.919942 + 0.392054i \(0.128235\pi\)
\(228\) −3.31863 + 3.97431i −0.219781 + 0.263205i
\(229\) −12.7948 15.5905i −0.845503 1.03025i −0.999113 0.0421167i \(-0.986590\pi\)
0.153610 0.988132i \(-0.450910\pi\)
\(230\) 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 −0.352615 0.935769i \(-0.614707\pi\)
0.0323297 + 0.999477i \(0.489707\pi\)
\(234\) 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 −0.593386 0.804918i \(-0.702209\pi\)
0.149576 + 0.988750i \(0.452209\pi\)
\(240\) −2.77578 22.7546i −0.179176 1.46880i
\(241\) 15.4006 + 6.37915i 0.992042 + 0.410917i 0.818873 0.573975i \(-0.194599\pi\)
0.173169 + 0.984892i \(0.444599\pi\)
\(242\) −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 −0.163806 0.986493i \(-0.552377\pi\)
−0.353114 + 0.935580i \(0.614877\pi\)
\(252\) 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 \(0.0156312\pi\)
−0.998794 + 0.0490872i \(0.984369\pi\)
\(258\) −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 0.489362 0.872081i \(-0.337230\pi\)
−0.992968 + 0.118381i \(0.962230\pi\)
\(264\) −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 −0.547348 0.836905i \(-0.684362\pi\)
−0.373558 + 0.927607i \(0.621862\pi\)
\(270\) −2.22202 24.2120i −0.135228 1.47350i
\(271\) 10.0242 24.2005i 0.608926 1.47008i −0.255244 0.966877i \(-0.582156\pi\)
0.864170 0.503200i \(-0.167844\pi\)
\(272\) 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 −0.802586 0.596536i \(-0.796543\pi\)
0.335908 0.941895i \(-0.390957\pi\)
\(278\) 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 −0.812822 0.582513i \(-0.802070\pi\)
0.973867 0.227118i \(-0.0729303\pi\)
\(282\) −4.17488 2.36408i −0.248610 0.140779i
\(283\) 21.8762 17.9533i 1.30040 1.06721i 0.307101 0.951677i \(-0.400641\pi\)
0.993303 0.115537i \(-0.0368589\pi\)
\(284\) 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 0.900162 0.435555i \(-0.143448\pi\)
−0.602799 + 0.797893i \(0.705948\pi\)
\(294\) 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 −0.715789 0.698316i \(-0.753933\pi\)
0.565801 0.824542i \(-0.308567\pi\)
\(308\) −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 −0.884054 0.467385i \(-0.845196\pi\)
0.770120 + 0.637899i \(0.220196\pi\)
\(312\) 5.16150 7.84904i 0.292212 0.444364i
\(313\) −6.86076 + 4.58421i −0.387793 + 0.259115i −0.734149 0.678988i \(-0.762419\pi\)
0.346356 + 0.938103i \(0.387419\pi\)
\(314\) 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 −0.199615 0.979874i \(-0.563969\pi\)
−0.710363 + 0.703836i \(0.751469\pi\)
\(318\) 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 0.519673 + 0.854365i \(0.326054\pi\)
−0.999094 + 0.0425673i \(0.986446\pi\)
\(332\) −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 0.962279 + 0.272065i \(0.0877065\pi\)
−0.488055 + 0.872813i \(0.662293\pi\)
\(338\) −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 −0.681371 0.731938i \(-0.738616\pi\)
0.584945 + 0.811073i \(0.301116\pi\)
\(348\) 20.5467 10.7587i 1.10142 0.576725i
\(349\) −8.61947 16.1259i −0.461390 0.863199i −0.999790 0.0205099i \(-0.993471\pi\)
0.538400 0.842689i \(-0.319029\pi\)
\(350\) −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 −0.110857 + 0.993836i \(0.535359\pi\)
−0.993836 + 0.110857i \(0.964641\pi\)
\(354\) −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 0.782843 0.622219i \(-0.213769\pi\)
0.485140 + 0.874436i \(0.338769\pi\)
\(360\) −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 0.868751 + 0.495249i \(0.164923\pi\)
−0.264106 + 0.964494i \(0.585077\pi\)
\(368\) −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 0.265665 + 0.964065i \(0.414409\pi\)
−0.949187 + 0.314714i \(0.898091\pi\)
\(374\) −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 −0.999486 0.0320465i \(-0.989798\pi\)
0.986533 + 0.163559i \(0.0522975\pi\)
\(380\) −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 −0.888490 0.458895i \(-0.848245\pi\)
0.960944 0.276742i \(-0.0892547\pi\)
\(390\) −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 −0.949195 0.314689i \(-0.898100\pi\)
0.869564 0.493821i \(-0.164400\pi\)
\(398\) −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 0.924047 0.382278i \(-0.124860\pi\)
−0.923711 + 0.383089i \(0.874860\pi\)
\(402\) −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 0.102552 0.994728i \(-0.467299\pi\)
−0.285920 + 0.958253i \(0.592299\pi\)
\(410\) 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 −0.881956 0.471332i \(-0.843773\pi\)
0.0980904 0.995178i \(-0.468727\pi\)
\(420\) −40.1325 + 21.0142i −1.95827 + 1.02539i
\(421\) 0.217124 0.178189i 0.0105820 0.00868441i −0.629087 0.777335i \(-0.716571\pi\)
0.639669 + 0.768650i \(0.279071\pi\)
\(422\) −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 0.953512 + 0.301356i \(0.0974392\pi\)
−0.461144 + 0.887325i \(0.652561\pi\)
\(432\) −20.1198 5.21463i −0.968016 0.250889i
\(433\) −0.0200990 + 0.0485232i −0.000965894 + 0.00233188i −0.924362 0.381517i \(-0.875402\pi\)
0.923396 + 0.383849i \(0.125402\pi\)
\(434\) 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 0.787425 0.616410i \(-0.211414\pi\)
−0.268154 + 0.963376i \(0.586414\pi\)
\(440\) −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 0.952759 + 0.303728i \(0.0982316\pi\)
−0.993706 + 0.112018i \(0.964268\pi\)
\(444\) −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 0.354312 + 0.935127i \(0.384715\pi\)
−0.999534 + 0.0305162i \(0.990285\pi\)
\(458\) 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 −0.987094 0.160142i \(-0.948805\pi\)
0.936885 0.349638i \(-0.113695\pi\)
\(462\) 3.98043 + 4.17933i 0.185186 + 0.194440i
\(463\) −19.8008 8.20175i −0.920220 0.381167i −0.128260 0.991741i \(-0.540939\pi\)
−0.791960 + 0.610573i \(0.790939\pi\)
\(464\) −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 0.969927 0.243398i \(-0.0782620\pi\)
−0.0494975 + 0.998774i \(0.515762\pi\)
\(468\) −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 0.345738 0.938331i \(-0.387629\pi\)
0.938331 0.345738i \(-0.112371\pi\)
\(480\) 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 0.881302 + 0.472553i \(0.156668\pi\)
−0.995055 + 0.0993226i \(0.968332\pi\)
\(488\) 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 0.908554 0.417767i \(-0.137187\pi\)
−0.987534 + 0.157406i \(0.949687\pi\)
\(492\) 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 0.741086 0.671410i \(-0.234311\pi\)
0.857832 + 0.513930i \(0.171811\pi\)
\(500\) −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 0.285644 0.958336i \(-0.407792\pi\)
−0.776075 + 0.630640i \(0.782792\pi\)
\(504\) −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 −0.878018 0.478628i \(-0.841134\pi\)
0.995957 + 0.0898361i \(0.0286343\pi\)
\(510\) −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 −0.869987 0.493074i \(-0.835873\pi\)
0.788471 + 0.615072i \(0.210873\pi\)
\(522\) −22.5503 17.2730i −0.986999 0.756021i
\(523\) −30.9639 16.5506i −1.35396 0.723705i −0.374857 0.927083i \(-0.622308\pi\)
−0.979100 + 0.203377i \(0.934808\pi\)
\(524\) −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 −0.0548609 0.998494i \(-0.517472\pi\)
0.799738 + 0.600349i \(0.204972\pi\)
\(542\) 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 −0.746134 0.665795i \(-0.768092\pi\)
0.139059 + 0.990284i \(0.455592\pi\)
\(548\) −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 −0.823614 0.567151i \(-0.808046\pi\)
0.716933 + 0.697143i \(0.245546\pi\)
\(558\) 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 0.622586 0.782551i \(-0.286082\pi\)
0.763292 + 0.646054i \(0.223582\pi\)
\(564\) 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 0.516090 0.856534i \(-0.327387\pi\)
−0.988834 + 0.149024i \(0.952387\pi\)
\(570\) −1.48076 + 12.0228i −0.0620221 + 0.503581i
\(571\) −8.31363 0.818821i −0.347915 0.0342666i −0.0774492 0.996996i \(-0.524678\pi\)
−0.270465 + 0.962730i \(0.587178\pi\)
\(572\) 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 \(0.0603262\pi\)
−0.982095 + 0.188388i \(0.939674\pi\)
\(578\) −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 0.769148 0.639070i \(-0.220681\pi\)
−0.104052 + 0.994572i \(0.533181\pi\)
\(588\) −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 0.118268 0.992982i \(-0.462266\pi\)
0.785772 + 0.618516i \(0.212266\pi\)
\(594\) 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 −0.0198682 0.999803i \(-0.506325\pi\)
0.364252 + 0.931300i \(0.381325\pi\)
\(600\) −18.6489 22.3861i −0.761337 0.913907i
\(601\) 1.39211 6.99863i 0.0567855 0.285480i −0.941950 0.335753i \(-0.891009\pi\)
0.998736 + 0.0502732i \(0.0160092\pi\)
\(602\) 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 0.657533 0.753426i \(-0.271600\pi\)
−0.753426 + 0.657533i \(0.771600\pi\)
\(608\) −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 0.801463 0.598044i \(-0.204055\pi\)
−0.742910 + 0.669391i \(0.766555\pi\)
\(614\) 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 −0.610817 0.791772i \(-0.709159\pi\)
−0.261323 + 0.965251i \(0.584159\pi\)
\(618\) 8.44006 + 16.7603i 0.339509 + 0.674197i
\(619\) 10.2301 3.10327i 0.411182 0.124731i −0.0779150 0.996960i \(-0.524826\pi\)
0.489097 + 0.872229i \(0.337326\pi\)
\(620\) −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 −0.783442 0.621465i \(-0.786538\pi\)
0.873969 + 0.485982i \(0.161538\pi\)
\(632\) 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 \(0.180676\pi\)
−0.843189 + 0.537617i \(0.819324\pi\)
\(642\) −11.8157 8.31848i −0.466328 0.328304i
\(643\) 7.16421 23.6172i 0.282529 0.931373i −0.694720 0.719280i \(-0.744472\pi\)
0.977249 0.212093i \(-0.0680281\pi\)
\(644\) −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 −0.857731 0.514099i \(-0.828126\pi\)
−0.146727 0.989177i \(-0.546874\pi\)
\(648\) 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 0.527211 0.849734i \(-0.323238\pi\)
0.682856 + 0.730553i \(0.260738\pi\)
\(654\) 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 −0.881355 0.472455i \(-0.843368\pi\)
0.635321 + 0.772248i \(0.280868\pi\)
\(660\) −3.84428 + 5.64873i −0.149639 + 0.219876i
\(661\) 0.659604 + 2.17442i 0.0256556 + 0.0845753i 0.968833 0.247713i \(-0.0796792\pi\)
−0.943178 + 0.332289i \(0.892179\pi\)
\(662\) −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 −0.462949 0.886385i \(-0.653209\pi\)
0.886385 + 0.462949i \(0.153209\pi\)
\(674\) −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 0.975544 0.219804i \(-0.0705418\pi\)
−0.405900 + 0.913918i \(0.633042\pi\)
\(678\) 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 −0.944668 0.328027i \(-0.893616\pi\)
−0.603221 + 0.797574i \(0.706116\pi\)
\(684\) −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 −0.991802 0.127783i \(-0.959214\pi\)
0.947816 0.318819i \(-0.103286\pi\)
\(692\) −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 0.625438 0.780274i \(-0.284920\pi\)
0.0865357 + 0.996249i \(0.472420\pi\)
\(702\) 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 −0.927319 0.374271i \(-0.877893\pi\)
0.982518 0.186169i \(-0.0596071\pi\)
\(710\) 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 0.0429389 0.999078i \(-0.486328\pi\)
0.676092 0.736817i \(-0.263672\pi\)
\(720\) 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 0.990405 + 0.138195i \(0.0441300\pi\)
−0.862130 + 0.506687i \(0.830870\pi\)
\(728\) 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 0.856284 0.516506i \(-0.172767\pi\)
−0.905185 + 0.425019i \(0.860267\pi\)
\(734\) −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 0.912778 + 0.408456i \(0.133933\pi\)
−0.167493 + 0.985873i \(0.553567\pi\)
\(740\) 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 −0.0461194 0.998936i \(-0.514685\pi\)
−0.424885 + 0.905247i \(0.639685\pi\)
\(744\) −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 0.879285 0.476296i \(-0.158021\pi\)
−0.958541 + 0.284956i \(0.908021\pi\)
\(752\) −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 −0.862504 0.506050i \(-0.831105\pi\)
0.899947 + 0.436000i \(0.143605\pi\)
\(758\) −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 −0.918402 0.395648i \(-0.870520\pi\)
0.0140733 + 0.999901i \(0.495520\pi\)
\(762\) 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