Properties

Label 731.2.k.a.35.7
Level 731
Weight 2
Character 731.35
Analytic conductor 5.837
Analytic rank 0
Dimension 180
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.k (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(180\)
Relative dimension: \(30\) over \(\Q(\zeta_{7})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 35.7
Character \(\chi\) = 731.35
Dual form 731.2.k.a.188.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.396271 + 1.73618i) q^{2} +(-0.0213391 - 0.0934929i) q^{3} +(-1.05534 - 0.508225i) q^{4} +(-1.30201 + 1.63267i) q^{5} +0.170776 q^{6} -1.70084 q^{7} +(-0.920084 + 1.15375i) q^{8} +(2.69462 - 1.29766i) q^{9} +O(q^{10})\) \(q+(-0.396271 + 1.73618i) q^{2} +(-0.0213391 - 0.0934929i) q^{3} +(-1.05534 - 0.508225i) q^{4} +(-1.30201 + 1.63267i) q^{5} +0.170776 q^{6} -1.70084 q^{7} +(-0.920084 + 1.15375i) q^{8} +(2.69462 - 1.29766i) q^{9} +(-2.31865 - 2.90749i) q^{10} +(-1.66630 + 0.802449i) q^{11} +(-0.0249954 + 0.109512i) q^{12} +(-1.34014 + 1.68048i) q^{13} +(0.673994 - 2.95296i) q^{14} +(0.180427 + 0.0868888i) q^{15} +(-3.09915 - 3.88621i) q^{16} +(0.623490 + 0.781831i) q^{17} +(1.18517 + 5.19256i) q^{18} +(-5.46595 - 2.63226i) q^{19} +(2.20382 - 1.06131i) q^{20} +(0.0362945 + 0.159017i) q^{21} +(-0.732885 - 3.21098i) q^{22} +(-1.05819 + 0.509599i) q^{23} +(0.127501 + 0.0614013i) q^{24} +(0.142229 + 0.623147i) q^{25} +(-2.38655 - 2.99264i) q^{26} +(-0.358196 - 0.449163i) q^{27} +(1.79497 + 0.864410i) q^{28} +(2.35300 - 10.3092i) q^{29} +(-0.222352 + 0.278821i) q^{30} +(-1.69205 + 7.41336i) q^{31} +(5.31612 - 2.56011i) q^{32} +(0.110581 + 0.138664i) q^{33} +(-1.60447 + 0.772671i) q^{34} +(2.21451 - 2.77691i) q^{35} -3.50324 q^{36} -6.51903 q^{37} +(6.73607 - 8.44676i) q^{38} +(0.185710 + 0.0894334i) q^{39} +(-0.685731 - 3.00438i) q^{40} +(2.34635 - 10.2800i) q^{41} -0.290463 q^{42} +(-0.943496 + 6.48921i) q^{43} +2.16634 q^{44} +(-1.38977 + 6.08898i) q^{45} +(-0.465423 - 2.03915i) q^{46} +(1.05986 + 0.510404i) q^{47} +(-0.297200 + 0.372676i) q^{48} -4.10714 q^{49} -1.13825 q^{50} +(0.0597910 - 0.0749755i) q^{51} +(2.26836 - 1.09239i) q^{52} +(-3.38532 - 4.24506i) q^{53} +(0.921770 - 0.443901i) q^{54} +(0.859408 - 3.76531i) q^{55} +(1.56492 - 1.96235i) q^{56} +(-0.129459 + 0.567197i) q^{57} +(16.9661 + 8.17043i) q^{58} +(5.16638 + 6.47844i) q^{59} +(-0.146252 - 0.183395i) q^{60} +(-0.727539 - 3.18756i) q^{61} +(-12.2004 - 5.87540i) q^{62} +(-4.58313 + 2.20712i) q^{63} +(0.126031 + 0.552176i) q^{64} +(-0.998793 - 4.37600i) q^{65} +(-0.284565 + 0.137039i) q^{66} +(-4.62193 - 2.22581i) q^{67} +(-0.260647 - 1.14197i) q^{68} +(0.0702248 + 0.0880592i) q^{69} +(3.94366 + 4.94519i) q^{70} +(-1.28705 - 0.619812i) q^{71} +(-0.982103 + 4.30288i) q^{72} +(-1.16712 + 1.46352i) q^{73} +(2.58330 - 11.3182i) q^{74} +(0.0552248 - 0.0265948i) q^{75} +(4.43065 + 5.55586i) q^{76} +(2.83412 - 1.36484i) q^{77} +(-0.228864 + 0.286986i) q^{78} -12.6103 q^{79} +10.3800 q^{80} +(5.55986 - 6.97184i) q^{81} +(16.9181 + 8.14734i) q^{82} +(3.78855 + 16.5987i) q^{83} +(0.0425132 - 0.186262i) q^{84} -2.08826 q^{85} +(-10.8925 - 4.20956i) q^{86} -1.01404 q^{87} +(0.607314 - 2.66082i) q^{88} +(3.19548 + 14.0003i) q^{89} +(-10.0208 - 4.82578i) q^{90} +(2.27936 - 2.85823i) q^{91} +1.37574 q^{92} +0.729203 q^{93} +(-1.30614 + 1.63785i) q^{94} +(11.4143 - 5.49684i) q^{95} +(-0.352793 - 0.442389i) q^{96} +(10.0400 - 4.83503i) q^{97} +(1.62754 - 7.13071i) q^{98} +(-3.44875 + 4.32459i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} + O(q^{10}) \) \( 180q - 4q^{2} - 6q^{3} - 34q^{4} - 6q^{5} - 14q^{6} + 66q^{7} + 2q^{8} - 26q^{9} - 8q^{10} - 12q^{11} - 24q^{12} - 5q^{13} - 8q^{14} - q^{15} - 58q^{16} - 30q^{17} + 36q^{18} - 24q^{19} - 36q^{20} - 28q^{21} + 5q^{22} + 27q^{23} - 46q^{24} - 38q^{25} + 6q^{26} - 36q^{27} - 54q^{28} + 28q^{29} - 21q^{30} + 36q^{31} + 11q^{32} + 5q^{33} - 4q^{34} + 6q^{35} + 192q^{36} + 164q^{37} + 32q^{38} - 34q^{39} + 2q^{40} + 42q^{41} - 2q^{42} - 22q^{43} + 14q^{44} + 58q^{45} - 53q^{46} + 21q^{47} - 20q^{48} + 166q^{49} + 18q^{50} - 6q^{51} + 54q^{52} + 8q^{53} - 154q^{54} - 5q^{55} - 35q^{56} + 8q^{57} + 9q^{58} - 13q^{59} - 88q^{60} - 34q^{61} - 36q^{62} - 31q^{63} - 18q^{64} + 9q^{65} + 222q^{66} - 48q^{67} - 27q^{68} + 2q^{69} - 64q^{70} - 42q^{71} + 77q^{72} - 44q^{73} - 35q^{74} - 21q^{75} + 44q^{76} - 32q^{77} + 124q^{78} - 96q^{79} + 490q^{80} - 12q^{81} - 130q^{82} - 8q^{83} + 170q^{84} + 22q^{85} - 12q^{86} - 90q^{87} - 122q^{88} - 81q^{89} + 49q^{90} - 27q^{91} - 116q^{92} + 18q^{93} - 124q^{94} + 117q^{95} + 52q^{96} - 79q^{97} - 54q^{98} - 39q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{7}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.396271 + 1.73618i −0.280206 + 1.22766i 0.617324 + 0.786709i \(0.288217\pi\)
−0.897530 + 0.440953i \(0.854640\pi\)
\(3\) −0.0213391 0.0934929i −0.0123202 0.0539782i 0.968394 0.249425i \(-0.0802415\pi\)
−0.980714 + 0.195447i \(0.937384\pi\)
\(4\) −1.05534 0.508225i −0.527670 0.254112i
\(5\) −1.30201 + 1.63267i −0.582276 + 0.730151i −0.982499 0.186267i \(-0.940361\pi\)
0.400223 + 0.916418i \(0.368933\pi\)
\(6\) 0.170776 0.0697191
\(7\) −1.70084 −0.642858 −0.321429 0.946934i \(-0.604163\pi\)
−0.321429 + 0.946934i \(0.604163\pi\)
\(8\) −0.920084 + 1.15375i −0.325299 + 0.407912i
\(9\) 2.69462 1.29766i 0.898207 0.432554i
\(10\) −2.31865 2.90749i −0.733221 0.919431i
\(11\) −1.66630 + 0.802449i −0.502409 + 0.241947i −0.667882 0.744267i \(-0.732799\pi\)
0.165473 + 0.986214i \(0.447085\pi\)
\(12\) −0.0249954 + 0.109512i −0.00721554 + 0.0316134i
\(13\) −1.34014 + 1.68048i −0.371688 + 0.466081i −0.932136 0.362108i \(-0.882057\pi\)
0.560449 + 0.828189i \(0.310629\pi\)
\(14\) 0.673994 2.95296i 0.180133 0.789212i
\(15\) 0.180427 + 0.0868888i 0.0465859 + 0.0224346i
\(16\) −3.09915 3.88621i −0.774786 0.971551i
\(17\) 0.623490 + 0.781831i 0.151218 + 0.189622i
\(18\) 1.18517 + 5.19256i 0.279347 + 1.22390i
\(19\) −5.46595 2.63226i −1.25397 0.603882i −0.315400 0.948959i \(-0.602139\pi\)
−0.938574 + 0.345077i \(0.887853\pi\)
\(20\) 2.20382 1.06131i 0.492790 0.237315i
\(21\) 0.0362945 + 0.159017i 0.00792011 + 0.0347003i
\(22\) −0.732885 3.21098i −0.156252 0.684583i
\(23\) −1.05819 + 0.509599i −0.220649 + 0.106259i −0.540943 0.841059i \(-0.681932\pi\)
0.320294 + 0.947318i \(0.396218\pi\)
\(24\) 0.127501 + 0.0614013i 0.0260261 + 0.0125335i
\(25\) 0.142229 + 0.623147i 0.0284458 + 0.124629i
\(26\) −2.38655 2.99264i −0.468041 0.586905i
\(27\) −0.358196 0.449163i −0.0689348 0.0864415i
\(28\) 1.79497 + 0.864410i 0.339217 + 0.163358i
\(29\) 2.35300 10.3092i 0.436940 1.91436i 0.0332953 0.999446i \(-0.489400\pi\)
0.403645 0.914916i \(-0.367743\pi\)
\(30\) −0.222352 + 0.278821i −0.0405958 + 0.0509055i
\(31\) −1.69205 + 7.41336i −0.303901 + 1.33148i 0.560282 + 0.828302i \(0.310693\pi\)
−0.864184 + 0.503177i \(0.832164\pi\)
\(32\) 5.31612 2.56011i 0.939766 0.452567i
\(33\) 0.110581 + 0.138664i 0.0192496 + 0.0241383i
\(34\) −1.60447 + 0.772671i −0.275164 + 0.132512i
\(35\) 2.21451 2.77691i 0.374321 0.469383i
\(36\) −3.50324 −0.583874
\(37\) −6.51903 −1.07172 −0.535861 0.844306i \(-0.680013\pi\)
−0.535861 + 0.844306i \(0.680013\pi\)
\(38\) 6.73607 8.44676i 1.09273 1.37025i
\(39\) 0.185710 + 0.0894334i 0.0297375 + 0.0143208i
\(40\) −0.685731 3.00438i −0.108424 0.475035i
\(41\) 2.34635 10.2800i 0.366438 1.60547i −0.370046 0.929013i \(-0.620658\pi\)
0.736484 0.676455i \(-0.236485\pi\)
\(42\) −0.290463 −0.0448195
\(43\) −0.943496 + 6.48921i −0.143882 + 0.989595i
\(44\) 2.16634 0.326588
\(45\) −1.38977 + 6.08898i −0.207175 + 0.907692i
\(46\) −0.465423 2.03915i −0.0686228 0.300656i
\(47\) 1.05986 + 0.510404i 0.154597 + 0.0744501i 0.509582 0.860422i \(-0.329800\pi\)
−0.354985 + 0.934872i \(0.615514\pi\)
\(48\) −0.297200 + 0.372676i −0.0428971 + 0.0537912i
\(49\) −4.10714 −0.586734
\(50\) −1.13825 −0.160973
\(51\) 0.0597910 0.0749755i 0.00837241 0.0104987i
\(52\) 2.26836 1.09239i 0.314565 0.151487i
\(53\) −3.38532 4.24506i −0.465010 0.583104i 0.492932 0.870068i \(-0.335925\pi\)
−0.957941 + 0.286964i \(0.907354\pi\)
\(54\) 0.921770 0.443901i 0.125437 0.0604073i
\(55\) 0.859408 3.76531i 0.115883 0.507714i
\(56\) 1.56492 1.96235i 0.209121 0.262229i
\(57\) −0.129459 + 0.567197i −0.0171473 + 0.0751271i
\(58\) 16.9661 + 8.17043i 2.22776 + 1.07283i
\(59\) 5.16638 + 6.47844i 0.672606 + 0.843421i 0.994650 0.103304i \(-0.0329414\pi\)
−0.322044 + 0.946725i \(0.604370\pi\)
\(60\) −0.146252 0.183395i −0.0188811 0.0236761i
\(61\) −0.727539 3.18756i −0.0931518 0.408125i 0.906757 0.421654i \(-0.138550\pi\)
−0.999908 + 0.0135295i \(0.995693\pi\)
\(62\) −12.2004 5.87540i −1.54945 0.746176i
\(63\) −4.58313 + 2.20712i −0.577420 + 0.278071i
\(64\) 0.126031 + 0.552176i 0.0157538 + 0.0690220i
\(65\) −0.998793 4.37600i −0.123885 0.542776i
\(66\) −0.284565 + 0.137039i −0.0350275 + 0.0168684i
\(67\) −4.62193 2.22581i −0.564659 0.271925i 0.129701 0.991553i \(-0.458598\pi\)
−0.694360 + 0.719628i \(0.744312\pi\)
\(68\) −0.260647 1.14197i −0.0316081 0.138484i
\(69\) 0.0702248 + 0.0880592i 0.00845408 + 0.0106011i
\(70\) 3.94366 + 4.94519i 0.471357 + 0.591063i
\(71\) −1.28705 0.619812i −0.152745 0.0735581i 0.355950 0.934505i \(-0.384157\pi\)
−0.508695 + 0.860947i \(0.669872\pi\)
\(72\) −0.982103 + 4.30288i −0.115742 + 0.507099i
\(73\) −1.16712 + 1.46352i −0.136601 + 0.171292i −0.845427 0.534092i \(-0.820654\pi\)
0.708826 + 0.705383i \(0.249225\pi\)
\(74\) 2.58330 11.3182i 0.300303 1.31571i
\(75\) 0.0552248 0.0265948i 0.00637681 0.00307091i
\(76\) 4.43065 + 5.55586i 0.508230 + 0.637301i
\(77\) 2.83412 1.36484i 0.322978 0.155538i
\(78\) −0.228864 + 0.286986i −0.0259137 + 0.0324948i
\(79\) −12.6103 −1.41877 −0.709385 0.704821i \(-0.751027\pi\)
−0.709385 + 0.704821i \(0.751027\pi\)
\(80\) 10.3800 1.16052
\(81\) 5.55986 6.97184i 0.617762 0.774649i
\(82\) 16.9181 + 8.14734i 1.86829 + 0.899723i
\(83\) 3.78855 + 16.5987i 0.415847 + 1.82194i 0.555218 + 0.831705i \(0.312635\pi\)
−0.139371 + 0.990240i \(0.544508\pi\)
\(84\) 0.0425132 0.186262i 0.00463857 0.0203229i
\(85\) −2.08826 −0.226504
\(86\) −10.8925 4.20956i −1.17457 0.453929i
\(87\) −1.01404 −0.108717
\(88\) 0.607314 2.66082i 0.0647399 0.283644i
\(89\) 3.19548 + 14.0003i 0.338720 + 1.48403i 0.801735 + 0.597680i \(0.203911\pi\)
−0.463014 + 0.886351i \(0.653232\pi\)
\(90\) −10.0208 4.82578i −1.05629 0.508681i
\(91\) 2.27936 2.85823i 0.238942 0.299624i
\(92\) 1.37574 0.143431
\(93\) 0.729203 0.0756149
\(94\) −1.30614 + 1.63785i −0.134719 + 0.168932i
\(95\) 11.4143 5.49684i 1.17108 0.563964i
\(96\) −0.352793 0.442389i −0.0360068 0.0451511i
\(97\) 10.0400 4.83503i 1.01941 0.490923i 0.151930 0.988391i \(-0.451451\pi\)
0.867482 + 0.497469i \(0.165737\pi\)
\(98\) 1.62754 7.13071i 0.164406 0.720311i
\(99\) −3.44875 + 4.32459i −0.346612 + 0.434638i
\(100\) 0.166599 0.729916i 0.0166599 0.0729916i
\(101\) 0.426227 + 0.205260i 0.0424111 + 0.0204241i 0.454969 0.890507i \(-0.349650\pi\)
−0.412558 + 0.910931i \(0.635365\pi\)
\(102\) 0.106477 + 0.133518i 0.0105428 + 0.0132203i
\(103\) 2.48603 + 3.11739i 0.244956 + 0.307165i 0.889076 0.457759i \(-0.151348\pi\)
−0.644120 + 0.764924i \(0.722776\pi\)
\(104\) −0.705813 3.09237i −0.0692106 0.303232i
\(105\) −0.306877 0.147784i −0.0299481 0.0144223i
\(106\) 8.71167 4.19532i 0.846152 0.407486i
\(107\) 3.51098 + 15.3826i 0.339419 + 1.48709i 0.800283 + 0.599623i \(0.204683\pi\)
−0.460864 + 0.887471i \(0.652460\pi\)
\(108\) 0.149742 + 0.656064i 0.0144090 + 0.0631298i
\(109\) −6.79192 + 3.27082i −0.650548 + 0.313287i −0.729895 0.683560i \(-0.760431\pi\)
0.0793466 + 0.996847i \(0.474717\pi\)
\(110\) 6.19669 + 2.98417i 0.590831 + 0.284529i
\(111\) 0.139111 + 0.609483i 0.0132038 + 0.0578496i
\(112\) 5.27116 + 6.60982i 0.498078 + 0.624569i
\(113\) −3.00848 3.77251i −0.283014 0.354888i 0.619922 0.784663i \(-0.287164\pi\)
−0.902936 + 0.429775i \(0.858593\pi\)
\(114\) −0.933454 0.449528i −0.0874260 0.0421021i
\(115\) 0.545771 2.39118i 0.0508934 0.222979i
\(116\) −7.72258 + 9.68381i −0.717023 + 0.899119i
\(117\) −1.43047 + 6.26730i −0.132247 + 0.579412i
\(118\) −13.2950 + 6.40253i −1.22390 + 0.589401i
\(119\) −1.06046 1.32977i −0.0972120 0.121900i
\(120\) −0.266256 + 0.128222i −0.0243057 + 0.0117050i
\(121\) −4.72575 + 5.92590i −0.429614 + 0.538718i
\(122\) 5.82246 0.527141
\(123\) −1.01118 −0.0911748
\(124\) 5.55334 6.96367i 0.498705 0.625356i
\(125\) −10.6099 5.10944i −0.948975 0.457002i
\(126\) −2.01578 8.83173i −0.179580 0.786793i
\(127\) 3.68336 16.1379i 0.326846 1.43200i −0.498261 0.867027i \(-0.666028\pi\)
0.825106 0.564977i \(-0.191115\pi\)
\(128\) 10.7923 0.953911
\(129\) 0.626828 0.0502639i 0.0551892 0.00442549i
\(130\) 7.99330 0.701059
\(131\) 0.999420 4.37875i 0.0873197 0.382573i −0.912318 0.409482i \(-0.865709\pi\)
0.999638 + 0.0269093i \(0.00856655\pi\)
\(132\) −0.0462278 0.202537i −0.00402362 0.0176286i
\(133\) 9.29671 + 4.47706i 0.806127 + 0.388210i
\(134\) 5.69593 7.14247i 0.492053 0.617015i
\(135\) 1.19971 0.103254
\(136\) −1.47570 −0.126540
\(137\) −8.99246 + 11.2762i −0.768278 + 0.963390i −0.999956 0.00940244i \(-0.997007\pi\)
0.231678 + 0.972793i \(0.425578\pi\)
\(138\) −0.180714 + 0.0870274i −0.0153834 + 0.00740827i
\(139\) 7.82332 + 9.81013i 0.663565 + 0.832084i 0.993726 0.111840i \(-0.0356746\pi\)
−0.330161 + 0.943925i \(0.607103\pi\)
\(140\) −3.74836 + 1.80511i −0.316794 + 0.152560i
\(141\) 0.0251025 0.109981i 0.00211402 0.00926211i
\(142\) 1.58612 1.98894i 0.133105 0.166908i
\(143\) 0.884576 3.87558i 0.0739719 0.324092i
\(144\) −13.3940 6.45021i −1.11617 0.537518i
\(145\) 13.7678 + 17.2643i 1.14335 + 1.43372i
\(146\) −2.07843 2.60627i −0.172012 0.215697i
\(147\) 0.0876428 + 0.383988i 0.00722865 + 0.0316708i
\(148\) 6.87979 + 3.31313i 0.565516 + 0.272338i
\(149\) −19.5710 + 9.42488i −1.60332 + 0.772117i −0.999684 0.0251458i \(-0.991995\pi\)
−0.603633 + 0.797262i \(0.706281\pi\)
\(150\) 0.0242894 + 0.106419i 0.00198322 + 0.00868905i
\(151\) 5.13193 + 22.4845i 0.417631 + 1.82976i 0.545681 + 0.837993i \(0.316271\pi\)
−0.128050 + 0.991768i \(0.540872\pi\)
\(152\) 8.06610 3.88443i 0.654247 0.315069i
\(153\) 2.69462 + 1.29766i 0.217847 + 0.104910i
\(154\) 1.24652 + 5.46137i 0.100448 + 0.440090i
\(155\) −9.90048 12.4148i −0.795226 0.997182i
\(156\) −0.150535 0.188765i −0.0120525 0.0151133i
\(157\) −2.99871 1.44410i −0.239323 0.115252i 0.310378 0.950613i \(-0.399544\pi\)
−0.549702 + 0.835361i \(0.685259\pi\)
\(158\) 4.99710 21.8937i 0.397548 1.74177i
\(159\) −0.324643 + 0.407089i −0.0257459 + 0.0322843i
\(160\) −2.74183 + 12.0127i −0.216760 + 0.949690i
\(161\) 1.79982 0.866748i 0.141846 0.0683093i
\(162\) 9.90113 + 12.4156i 0.777907 + 0.975464i
\(163\) −20.6207 + 9.93041i −1.61514 + 0.777809i −0.999944 0.0105664i \(-0.996637\pi\)
−0.615194 + 0.788376i \(0.710922\pi\)
\(164\) −7.70075 + 9.65644i −0.601328 + 0.754041i
\(165\) −0.370369 −0.0288332
\(166\) −30.3196 −2.35326
\(167\) 2.34774 2.94398i 0.181674 0.227812i −0.682652 0.730743i \(-0.739174\pi\)
0.864326 + 0.502931i \(0.167745\pi\)
\(168\) −0.216859 0.104434i −0.0167311 0.00805726i
\(169\) 1.86473 + 8.16991i 0.143441 + 0.628455i
\(170\) 0.827517 3.62559i 0.0634676 0.278070i
\(171\) −18.1444 −1.38754
\(172\) 4.29369 6.36881i 0.327390 0.485617i
\(173\) −3.88331 −0.295242 −0.147621 0.989044i \(-0.547162\pi\)
−0.147621 + 0.989044i \(0.547162\pi\)
\(174\) 0.401836 1.76056i 0.0304631 0.133468i
\(175\) −0.241909 1.05987i −0.0182866 0.0801190i
\(176\) 8.28259 + 3.98869i 0.624324 + 0.300659i
\(177\) 0.495442 0.621264i 0.0372397 0.0466971i
\(178\) −25.5733 −1.91680
\(179\) 8.62734 0.644838 0.322419 0.946597i \(-0.395504\pi\)
0.322419 + 0.946597i \(0.395504\pi\)
\(180\) 4.56125 5.71963i 0.339976 0.426316i
\(181\) −10.9766 + 5.28605i −0.815884 + 0.392909i −0.794802 0.606869i \(-0.792425\pi\)
−0.0210821 + 0.999778i \(0.506711\pi\)
\(182\) 4.05915 + 5.09001i 0.300884 + 0.377297i
\(183\) −0.282489 + 0.136039i −0.0208822 + 0.0100563i
\(184\) 0.385678 1.68976i 0.0284325 0.124571i
\(185\) 8.48784 10.6434i 0.624038 0.782519i
\(186\) −0.288962 + 1.26603i −0.0211877 + 0.0928295i
\(187\) −1.66630 0.802449i −0.121852 0.0586809i
\(188\) −0.859117 1.07730i −0.0626576 0.0785701i
\(189\) 0.609235 + 0.763956i 0.0443153 + 0.0555696i
\(190\) 5.02033 + 21.9955i 0.364213 + 1.59572i
\(191\) −13.4945 6.49860i −0.976426 0.470222i −0.123552 0.992338i \(-0.539429\pi\)
−0.852875 + 0.522116i \(0.825143\pi\)
\(192\) 0.0489352 0.0235659i 0.00353159 0.00170072i
\(193\) −2.63447 11.5424i −0.189633 0.830838i −0.976810 0.214110i \(-0.931315\pi\)
0.787176 0.616728i \(-0.211542\pi\)
\(194\) 4.41589 + 19.3473i 0.317042 + 1.38905i
\(195\) −0.387812 + 0.186760i −0.0277718 + 0.0133742i
\(196\) 4.33442 + 2.08735i 0.309602 + 0.149096i
\(197\) 1.35526 + 5.93780i 0.0965586 + 0.423051i 0.999984 0.00569485i \(-0.00181274\pi\)
−0.903425 + 0.428746i \(0.858956\pi\)
\(198\) −6.14161 7.70134i −0.436465 0.547310i
\(199\) 9.66463 + 12.1191i 0.685107 + 0.859097i 0.995813 0.0914087i \(-0.0291370\pi\)
−0.310706 + 0.950506i \(0.600566\pi\)
\(200\) −0.849818 0.409251i −0.0600912 0.0289384i
\(201\) −0.109469 + 0.479615i −0.00772134 + 0.0338294i
\(202\) −0.525269 + 0.658666i −0.0369578 + 0.0463436i
\(203\) −4.00208 + 17.5342i −0.280891 + 1.23066i
\(204\) −0.101204 + 0.0487374i −0.00708571 + 0.00341230i
\(205\) 13.7289 + 17.2155i 0.958866 + 1.20238i
\(206\) −6.39748 + 3.08086i −0.445733 + 0.214654i
\(207\) −2.19014 + 2.74635i −0.152225 + 0.190885i
\(208\) 10.6840 0.740800
\(209\) 11.2202 0.776116
\(210\) 0.378186 0.474230i 0.0260973 0.0327250i
\(211\) −6.63490 3.19520i −0.456766 0.219967i 0.191330 0.981526i \(-0.438720\pi\)
−0.648095 + 0.761559i \(0.724434\pi\)
\(212\) 1.41522 + 6.20048i 0.0971977 + 0.425851i
\(213\) −0.0304834 + 0.133556i −0.00208869 + 0.00915114i
\(214\) −28.0982 −1.92076
\(215\) −9.36628 9.98942i −0.638775 0.681273i
\(216\) 0.847793 0.0576850
\(217\) 2.87791 12.6090i 0.195365 0.855952i
\(218\) −2.98727 13.0881i −0.202324 0.886438i
\(219\) 0.161734 + 0.0778869i 0.0109290 + 0.00526311i
\(220\) −2.82059 + 3.53691i −0.190164 + 0.238458i
\(221\) −2.14942 −0.144585
\(222\) −1.11330 −0.0747195
\(223\) −10.4216 + 13.0683i −0.697883 + 0.875117i −0.996863 0.0791419i \(-0.974782\pi\)
0.298981 + 0.954259i \(0.403353\pi\)
\(224\) −9.04188 + 4.35434i −0.604136 + 0.290936i
\(225\) 1.19189 + 1.49458i 0.0794591 + 0.0996386i
\(226\) 7.74191 3.72831i 0.514984 0.248003i
\(227\) 0.159343 0.698128i 0.0105760 0.0463364i −0.969365 0.245626i \(-0.921006\pi\)
0.979941 + 0.199290i \(0.0638635\pi\)
\(228\) 0.424887 0.532792i 0.0281388 0.0352850i
\(229\) 0.662384 2.90209i 0.0437716 0.191776i −0.948315 0.317330i \(-0.897214\pi\)
0.992087 + 0.125554i \(0.0400709\pi\)
\(230\) 3.93524 + 1.89511i 0.259482 + 0.124960i
\(231\) −0.188080 0.235845i −0.0123748 0.0155175i
\(232\) 9.72922 + 12.2001i 0.638755 + 0.800973i
\(233\) 3.44693 + 15.1020i 0.225816 + 0.989364i 0.953012 + 0.302934i \(0.0979662\pi\)
−0.727196 + 0.686430i \(0.759177\pi\)
\(234\) −10.3143 4.96710i −0.674266 0.324709i
\(235\) −2.21327 + 1.06586i −0.144378 + 0.0695288i
\(236\) −2.15979 9.46264i −0.140590 0.615965i
\(237\) 0.269093 + 1.17897i 0.0174795 + 0.0765826i
\(238\) 2.72895 1.31419i 0.176891 0.0851864i
\(239\) 0.0151227 + 0.00728271i 0.000978207 + 0.000471079i 0.434373 0.900733i \(-0.356970\pi\)
−0.433395 + 0.901204i \(0.642684\pi\)
\(240\) −0.221500 0.970456i −0.0142978 0.0626426i
\(241\) −17.7943 22.3134i −1.14623 1.43733i −0.880982 0.473151i \(-0.843117\pi\)
−0.265251 0.964179i \(-0.585455\pi\)
\(242\) −8.41573 10.5530i −0.540984 0.678372i
\(243\) −2.32328 1.11883i −0.149039 0.0717733i
\(244\) −0.852195 + 3.73371i −0.0545562 + 0.239026i
\(245\) 5.34753 6.70558i 0.341641 0.428404i
\(246\) 0.400700 1.75558i 0.0255477 0.111932i
\(247\) 11.7486 5.65782i 0.747545 0.359999i
\(248\) −6.99633 8.77312i −0.444267 0.557094i
\(249\) 1.47102 0.708405i 0.0932219 0.0448933i
\(250\) 13.0753 16.3959i 0.826952 1.03697i
\(251\) 22.3435 1.41031 0.705154 0.709054i \(-0.250878\pi\)
0.705154 + 0.709054i \(0.250878\pi\)
\(252\) 5.95847 0.375348
\(253\) 1.35434 1.69829i 0.0851468 0.106771i
\(254\) 26.5586 + 12.7899i 1.66643 + 0.802512i
\(255\) 0.0445617 + 0.195237i 0.00279056 + 0.0122262i
\(256\) −4.52873 + 19.8416i −0.283045 + 1.24010i
\(257\) 17.6394 1.10031 0.550157 0.835061i \(-0.314568\pi\)
0.550157 + 0.835061i \(0.314568\pi\)
\(258\) −0.161127 + 1.10820i −0.0100313 + 0.0689937i
\(259\) 11.0878 0.688965
\(260\) −1.16993 + 5.12578i −0.0725557 + 0.317887i
\(261\) −7.03735 30.8326i −0.435601 1.90849i
\(262\) 7.20623 + 3.47034i 0.445203 + 0.214398i
\(263\) −3.94084 + 4.94166i −0.243003 + 0.304716i −0.888344 0.459179i \(-0.848144\pi\)
0.645341 + 0.763894i \(0.276715\pi\)
\(264\) −0.261727 −0.0161082
\(265\) 11.3385 0.696517
\(266\) −11.4570 + 14.3666i −0.702473 + 0.880873i
\(267\) 1.24074 0.597510i 0.0759322 0.0365670i
\(268\) 3.74650 + 4.69796i 0.228854 + 0.286974i
\(269\) −12.5738 + 6.05524i −0.766640 + 0.369195i −0.775976 0.630762i \(-0.782742\pi\)
0.00933613 + 0.999956i \(0.497028\pi\)
\(270\) −0.475410 + 2.08291i −0.0289325 + 0.126762i
\(271\) 9.00525 11.2922i 0.547030 0.685954i −0.429071 0.903271i \(-0.641159\pi\)
0.976101 + 0.217317i \(0.0697305\pi\)
\(272\) 1.10607 4.84602i 0.0670655 0.293833i
\(273\) −0.315864 0.152112i −0.0191170 0.00920625i
\(274\) −16.0140 20.0809i −0.967442 1.21313i
\(275\) −0.737040 0.924219i −0.0444452 0.0557325i
\(276\) −0.0293572 0.128622i −0.00176710 0.00774216i
\(277\) −8.85394 4.26383i −0.531982 0.256189i 0.148553 0.988904i \(-0.452538\pi\)
−0.680535 + 0.732715i \(0.738253\pi\)
\(278\) −20.1323 + 9.69519i −1.20745 + 0.581479i
\(279\) 5.06059 + 22.1719i 0.302970 + 1.32740i
\(280\) 1.16632 + 5.10998i 0.0697009 + 0.305380i
\(281\) 12.5380 6.03798i 0.747955 0.360196i −0.0207629 0.999784i \(-0.506610\pi\)
0.768717 + 0.639589i \(0.220895\pi\)
\(282\) 0.181000 + 0.0871649i 0.0107784 + 0.00519059i
\(283\) −4.69039 20.5500i −0.278815 1.22157i −0.899294 0.437345i \(-0.855919\pi\)
0.620479 0.784223i \(-0.286938\pi\)
\(284\) 1.04327 + 1.30822i 0.0619069 + 0.0776288i
\(285\) −0.757488 0.949860i −0.0448697 0.0562648i
\(286\) 6.37816 + 3.07156i 0.377148 + 0.181625i
\(287\) −3.99076 + 17.4847i −0.235567 + 1.03209i
\(288\) 11.0028 13.7970i 0.648344 0.812998i
\(289\) −0.222521 + 0.974928i −0.0130895 + 0.0573487i
\(290\) −35.4296 + 17.0620i −2.08050 + 1.00191i
\(291\) −0.666287 0.835497i −0.0390584 0.0489777i
\(292\) 1.97550 0.951352i 0.115608 0.0556736i
\(293\) 11.0337 13.8358i 0.644594 0.808295i −0.346975 0.937874i \(-0.612791\pi\)
0.991569 + 0.129579i \(0.0413626\pi\)
\(294\) −0.701401 −0.0409066
\(295\) −17.3038 −1.00747
\(296\) 5.99806 7.52133i 0.348630 0.437168i
\(297\) 0.957293 + 0.461008i 0.0555478 + 0.0267504i
\(298\) −8.60785 37.7135i −0.498640 2.18468i
\(299\) 0.561754 2.46121i 0.0324871 0.142335i
\(300\) −0.0717970 −0.00414520
\(301\) 1.60474 11.0371i 0.0924956 0.636169i
\(302\) −41.0706 −2.36335
\(303\) 0.0100950 0.0442292i 0.000579945 0.00254090i
\(304\) 6.71026 + 29.3996i 0.384860 + 1.68618i
\(305\) 6.15148 + 2.96240i 0.352233 + 0.169626i
\(306\) −3.32077 + 4.16411i −0.189836 + 0.238046i
\(307\) 30.4642 1.73868 0.869341 0.494213i \(-0.164544\pi\)
0.869341 + 0.494213i \(0.164544\pi\)
\(308\) −3.68460 −0.209950
\(309\) 0.238404 0.298949i 0.0135623 0.0170066i
\(310\) 25.4776 12.2694i 1.44703 0.696852i
\(311\) 5.64293 + 7.07601i 0.319981 + 0.401244i 0.915644 0.401991i \(-0.131682\pi\)
−0.595662 + 0.803235i \(0.703110\pi\)
\(312\) −0.274053 + 0.131977i −0.0155152 + 0.00747172i
\(313\) −6.46935 + 28.3441i −0.365669 + 1.60210i 0.372864 + 0.927886i \(0.378376\pi\)
−0.738534 + 0.674216i \(0.764482\pi\)
\(314\) 3.69552 4.63404i 0.208550 0.261514i
\(315\) 2.36378 10.3564i 0.133184 0.583517i
\(316\) 13.3082 + 6.40887i 0.748642 + 0.360527i
\(317\) 7.20198 + 9.03100i 0.404503 + 0.507231i 0.941805 0.336159i \(-0.109128\pi\)
−0.537302 + 0.843390i \(0.680556\pi\)
\(318\) −0.578132 0.724955i −0.0324201 0.0406535i
\(319\) 4.35176 + 19.0663i 0.243652 + 1.06751i
\(320\) −1.06561 0.513172i −0.0595696 0.0286872i
\(321\) 1.36324 0.656504i 0.0760889 0.0366425i
\(322\) 0.791610 + 3.46827i 0.0441147 + 0.193279i
\(323\) −1.34998 5.91464i −0.0751148 0.329099i
\(324\) −9.41080 + 4.53200i −0.522822 + 0.251778i
\(325\) −1.23779 0.596090i −0.0686604 0.0330651i
\(326\) −9.06955 39.7363i −0.502316 2.20079i
\(327\) 0.450732 + 0.565200i 0.0249255 + 0.0312556i
\(328\) 9.70172 + 12.1656i 0.535688 + 0.671732i
\(329\) −1.80266 0.868116i −0.0993840 0.0478608i
\(330\) 0.146766 0.643026i 0.00807923 0.0353974i
\(331\) 6.04034 7.57434i 0.332007 0.416324i −0.587607 0.809146i \(-0.699930\pi\)
0.919614 + 0.392823i \(0.128501\pi\)
\(332\) 4.43767 19.4427i 0.243549 1.06706i
\(333\) −17.5663 + 8.45950i −0.962629 + 0.463577i
\(334\) 4.18092 + 5.24271i 0.228770 + 0.286868i
\(335\) 9.65179 4.64806i 0.527334 0.253951i
\(336\) 0.505490 0.633864i 0.0275767 0.0345801i
\(337\) 27.5671 1.50168 0.750838 0.660487i \(-0.229650\pi\)
0.750838 + 0.660487i \(0.229650\pi\)
\(338\) −14.9233 −0.811723
\(339\) −0.288505 + 0.361773i −0.0156694 + 0.0196488i
\(340\) 2.20382 + 1.06131i 0.119519 + 0.0575574i
\(341\) −3.12937 13.7107i −0.169465 0.742475i
\(342\) 7.19011 31.5019i 0.388797 1.70343i
\(343\) 18.8915 1.02004
\(344\) −6.61882 7.05918i −0.356863 0.380605i
\(345\) −0.235205 −0.0126630
\(346\) 1.53884 6.74210i 0.0827286 0.362458i
\(347\) −3.89724 17.0749i −0.209215 0.916630i −0.965091 0.261915i \(-0.915646\pi\)
0.755876 0.654715i \(-0.227211\pi\)
\(348\) 1.07016 + 0.515362i 0.0573666 + 0.0276263i
\(349\) 20.7448 26.0131i 1.11044 1.39245i 0.199509 0.979896i \(-0.436065\pi\)
0.910933 0.412554i \(-0.135363\pi\)
\(350\) 1.93599 0.103483
\(351\) 1.23484 0.0659110
\(352\) −6.80390 + 8.53182i −0.362649 + 0.454748i
\(353\) 22.5148 10.8426i 1.19834 0.577092i 0.275141 0.961404i \(-0.411276\pi\)
0.923203 + 0.384312i \(0.125561\pi\)
\(354\) 0.882295 + 1.10636i 0.0468935 + 0.0588025i
\(355\) 2.68770 1.29433i 0.142648 0.0686958i
\(356\) 3.74299 16.3991i 0.198378 0.869151i
\(357\) −0.101695 + 0.127521i −0.00538227 + 0.00674915i
\(358\) −3.41877 + 14.9786i −0.180687 + 0.791643i
\(359\) 16.9761 + 8.17527i 0.895965 + 0.431474i 0.824430 0.565964i \(-0.191496\pi\)
0.0715352 + 0.997438i \(0.477210\pi\)
\(360\) −5.74646 7.20583i −0.302865 0.379780i
\(361\) 11.1015 + 13.9208i 0.584288 + 0.732674i
\(362\) −4.82781 21.1520i −0.253744 1.11173i
\(363\) 0.654873 + 0.315370i 0.0343719 + 0.0165527i
\(364\) −3.85813 + 1.85798i −0.202221 + 0.0973844i
\(365\) −0.869842 3.81103i −0.0455296 0.199478i
\(366\) −0.124246 0.544359i −0.00649446 0.0284541i
\(367\) 13.0313 6.27554i 0.680228 0.327581i −0.0616668 0.998097i \(-0.519642\pi\)
0.741895 + 0.670516i \(0.233927\pi\)
\(368\) 5.25990 + 2.53304i 0.274191 + 0.132044i
\(369\) −7.01746 30.7455i −0.365314 1.60055i
\(370\) 15.1154 + 18.9541i 0.785810 + 0.985374i
\(371\) 5.75790 + 7.22017i 0.298935 + 0.374853i
\(372\) −0.769557 0.370599i −0.0398997 0.0192147i
\(373\) −3.02909 + 13.2713i −0.156840 + 0.687163i 0.833959 + 0.551826i \(0.186069\pi\)
−0.990800 + 0.135337i \(0.956788\pi\)
\(374\) 2.05350 2.57501i 0.106184 0.133150i
\(375\) −0.251291 + 1.10098i −0.0129766 + 0.0568542i
\(376\) −1.56404 + 0.753203i −0.0806594 + 0.0388435i
\(377\) 14.1710 + 17.7699i 0.729843 + 0.915194i
\(378\) −1.56778 + 0.755005i −0.0806381 + 0.0388333i
\(379\) −0.851098 + 1.06724i −0.0437179 + 0.0548206i −0.803210 0.595696i \(-0.796876\pi\)
0.759492 + 0.650517i \(0.225448\pi\)
\(380\) −14.8396 −0.761256
\(381\) −1.58738 −0.0813238
\(382\) 16.6302 20.8536i 0.850874 1.06696i
\(383\) −2.65390 1.27805i −0.135608 0.0653054i 0.364849 0.931067i \(-0.381121\pi\)
−0.500457 + 0.865761i \(0.666835\pi\)
\(384\) −0.230298 1.00900i −0.0117523 0.0514904i
\(385\) −1.46172 + 6.40420i −0.0744960 + 0.326388i
\(386\) 21.0836 1.07312
\(387\) 5.87843 + 18.7103i 0.298817 + 0.951098i
\(388\) −13.0529 −0.662662
\(389\) 7.54073 33.0381i 0.382330 1.67510i −0.307830 0.951441i \(-0.599603\pi\)
0.690160 0.723657i \(-0.257540\pi\)
\(390\) −0.170570 0.747317i −0.00863716 0.0378419i
\(391\) −1.05819 0.509599i −0.0535151 0.0257715i
\(392\) 3.77891 4.73861i 0.190864 0.239336i
\(393\) −0.430708 −0.0217264
\(394\) −10.8461 −0.546420
\(395\) 16.4187 20.5884i 0.826116 1.03592i
\(396\) 5.83746 2.81117i 0.293344 0.141267i
\(397\) −18.6738 23.4162i −0.937210 1.17522i −0.984330 0.176334i \(-0.943576\pi\)
0.0471208 0.998889i \(-0.484995\pi\)
\(398\) −24.8706 + 11.9771i −1.24665 + 0.600356i
\(399\) 0.220190 0.964713i 0.0110233 0.0482961i
\(400\) 1.98089 2.48395i 0.0990444 0.124198i
\(401\) 7.96226 34.8849i 0.397616 1.74207i −0.239120 0.970990i \(-0.576859\pi\)
0.636737 0.771081i \(-0.280284\pi\)
\(402\) −0.789316 0.380115i −0.0393675 0.0189584i
\(403\) −10.1904 12.7784i −0.507621 0.636537i
\(404\) −0.345496 0.433238i −0.0171891 0.0215544i
\(405\) 4.14371 + 18.1548i 0.205903 + 0.902119i
\(406\) −28.8566 13.8966i −1.43213 0.689678i
\(407\) 10.8627 5.23119i 0.538443 0.259300i
\(408\) 0.0314902 + 0.137968i 0.00155900 + 0.00683041i
\(409\) −6.08737 26.6705i −0.301001 1.31877i −0.868619 0.495480i \(-0.834992\pi\)
0.567618 0.823292i \(-0.307865\pi\)
\(410\) −35.3294 + 17.0138i −1.74480 + 0.840250i
\(411\) 1.24614 + 0.600107i 0.0614673 + 0.0296011i
\(412\) −1.03928 4.55337i −0.0512015 0.224328i
\(413\) −8.78720 11.0188i −0.432390 0.542200i
\(414\) −3.90026 4.89077i −0.191687 0.240368i
\(415\) −32.0329 15.4262i −1.57243 0.757244i
\(416\) −2.82212 + 12.3645i −0.138366 + 0.606221i
\(417\) 0.750234 0.940764i 0.0367391 0.0460694i
\(418\) −4.44623 + 19.4802i −0.217472 + 0.952808i
\(419\) −29.9063 + 14.4021i −1.46102 + 0.703589i −0.984469 0.175560i \(-0.943826\pi\)
−0.476548 + 0.879148i \(0.658112\pi\)
\(420\) 0.248752 + 0.311925i 0.0121379 + 0.0152204i
\(421\) −9.07414 + 4.36988i −0.442246 + 0.212975i −0.641737 0.766925i \(-0.721786\pi\)
0.199490 + 0.979900i \(0.436071\pi\)
\(422\) 8.17665 10.2532i 0.398033 0.499118i
\(423\) 3.51826 0.171064
\(424\) 8.01251 0.389122
\(425\) −0.398517 + 0.499725i −0.0193309 + 0.0242402i
\(426\) −0.219798 0.105849i −0.0106492 0.00512841i
\(427\) 1.23743 + 5.42153i 0.0598834 + 0.262366i
\(428\) 4.11255 18.0183i 0.198788 0.870945i
\(429\) −0.381215 −0.0184052
\(430\) 21.0550 12.3030i 1.01536 0.593303i
\(431\) −38.1564 −1.83793 −0.918965 0.394338i \(-0.870974\pi\)
−0.918965 + 0.394338i \(0.870974\pi\)
\(432\) −0.635440 + 2.78405i −0.0305726 + 0.133947i
\(433\) 6.77306 + 29.6747i 0.325492 + 1.42607i 0.827624 + 0.561283i \(0.189692\pi\)
−0.502131 + 0.864791i \(0.667451\pi\)
\(434\) 20.7509 + 9.99312i 0.996077 + 0.479685i
\(435\) 1.32029 1.65560i 0.0633032 0.0793797i
\(436\) 8.83010 0.422885
\(437\) 7.12543 0.340855
\(438\) −0.199316 + 0.249934i −0.00952368 + 0.0119423i
\(439\) 5.58128 2.68780i 0.266380 0.128282i −0.295927 0.955211i \(-0.595628\pi\)
0.562307 + 0.826929i \(0.309914\pi\)
\(440\) 3.55350 + 4.45595i 0.169406 + 0.212429i
\(441\) −11.0672 + 5.32967i −0.527008 + 0.253794i
\(442\) 0.851751 3.73176i 0.0405136 0.177502i
\(443\) −7.97335 + 9.99826i −0.378825 + 0.475032i −0.934293 0.356506i \(-0.883968\pi\)
0.555468 + 0.831538i \(0.312539\pi\)
\(444\) 0.162946 0.713911i 0.00773306 0.0338807i
\(445\) −27.0184 13.0114i −1.28080 0.616798i
\(446\) −18.5591 23.2723i −0.878797 1.10198i
\(447\) 1.29879 + 1.62863i 0.0614306 + 0.0770315i
\(448\) −0.214358 0.939165i −0.0101275 0.0443714i
\(449\) 7.51425 + 3.61867i 0.354620 + 0.170776i 0.602708 0.797962i \(-0.294088\pi\)
−0.248089 + 0.968737i \(0.579803\pi\)
\(450\) −3.06716 + 1.47707i −0.144587 + 0.0696297i
\(451\) 4.33946 + 19.0124i 0.204337 + 0.895260i
\(452\) 1.25768 + 5.51026i 0.0591564 + 0.259181i
\(453\) 1.99263 0.959599i 0.0936218 0.0450859i
\(454\) 1.14893 + 0.553296i 0.0539220 + 0.0259675i
\(455\) 1.69879 + 7.44288i 0.0796405 + 0.348928i
\(456\) −0.535290 0.671233i −0.0250673 0.0314334i
\(457\) 14.1470 + 17.7398i 0.661770 + 0.829833i 0.993535 0.113529i \(-0.0362155\pi\)
−0.331765 + 0.943362i \(0.607644\pi\)
\(458\) 4.77606 + 2.30003i 0.223171 + 0.107473i
\(459\) 0.127839 0.560098i 0.00596700 0.0261431i
\(460\) −1.79123 + 2.24613i −0.0835166 + 0.104726i
\(461\) −3.51747 + 15.4110i −0.163825 + 0.717763i 0.824558 + 0.565777i \(0.191424\pi\)
−0.988383 + 0.151986i \(0.951433\pi\)
\(462\) 0.484000 0.233082i 0.0225177 0.0108440i
\(463\) −9.07301 11.3772i −0.421658 0.528743i 0.524948 0.851134i \(-0.324085\pi\)
−0.946606 + 0.322391i \(0.895513\pi\)
\(464\) −47.3558 + 22.8053i −2.19844 + 1.05871i
\(465\) −0.949429 + 1.19055i −0.0440287 + 0.0552103i
\(466\) −27.5856 −1.27788
\(467\) 2.83398 0.131141 0.0655704 0.997848i \(-0.479113\pi\)
0.0655704 + 0.997848i \(0.479113\pi\)
\(468\) 4.69483 5.88713i 0.217019 0.272133i
\(469\) 7.86118 + 3.78574i 0.362995 + 0.174809i
\(470\) −0.973458 4.26500i −0.0449023 0.196730i
\(471\) −0.0710235 + 0.311174i −0.00327259 + 0.0143382i
\(472\) −12.2280 −0.562839
\(473\) −3.63511 11.5701i −0.167142 0.531993i
\(474\) −2.15354 −0.0989154
\(475\) 0.862868 3.78047i 0.0395911 0.173460i
\(476\) 0.443320 + 1.94231i 0.0203195 + 0.0890257i
\(477\) −14.6308 7.04582i −0.669898 0.322606i
\(478\) −0.0186368 + 0.0233698i −0.000852426 + 0.00106891i
\(479\) −17.6305 −0.805559 −0.402779 0.915297i \(-0.631956\pi\)
−0.402779 + 0.915297i \(0.631956\pi\)
\(480\) 1.18161 0.0539330
\(481\) 8.73641 10.9551i 0.398346 0.499510i
\(482\) 45.7913 22.0519i 2.08574 1.00444i
\(483\) −0.119441 0.149775i −0.00543477 0.00681499i
\(484\) 7.99896 3.85210i 0.363589 0.175095i
\(485\) −5.17823 + 22.6873i −0.235131 + 1.03018i
\(486\) 2.86314 3.59027i 0.129875 0.162858i
\(487\) −8.67324 + 38.0000i −0.393022 + 1.72194i 0.260887 + 0.965369i \(0.415985\pi\)
−0.653909 + 0.756573i \(0.726872\pi\)
\(488\) 4.34704 + 2.09342i 0.196781 + 0.0947648i
\(489\) 1.36845 + 1.71598i 0.0618835 + 0.0775994i
\(490\) 9.52301 + 11.9415i 0.430206 + 0.539461i
\(491\) 1.98935 + 8.71590i 0.0897780 + 0.393343i 0.999774 0.0212746i \(-0.00677242\pi\)
−0.909996 + 0.414618i \(0.863915\pi\)
\(492\) 1.06714 + 0.513906i 0.0481102 + 0.0231687i
\(493\) 9.52709 4.58800i 0.429078 0.206633i
\(494\) 5.16735 + 22.6397i 0.232490 + 1.01861i
\(495\) −2.57032 11.2613i −0.115527 0.506158i
\(496\) 34.0537 16.3994i 1.52906 0.736356i
\(497\) 2.18907 + 1.05420i 0.0981933 + 0.0472874i
\(498\) 0.646994 + 2.83467i 0.0289925 + 0.127024i
\(499\) −20.5046 25.7119i −0.917911 1.15102i −0.988150 0.153494i \(-0.950947\pi\)
0.0702385 0.997530i \(-0.477624\pi\)
\(500\) 8.60026 + 10.7844i 0.384615 + 0.482293i
\(501\) −0.325340 0.156675i −0.0145351 0.00699974i
\(502\) −8.85408 + 38.7922i −0.395177 + 1.73138i
\(503\) 8.89237 11.1507i 0.396491 0.497184i −0.543012 0.839725i \(-0.682716\pi\)
0.939503 + 0.342541i \(0.111288\pi\)
\(504\) 1.67040 7.31851i 0.0744056 0.325992i
\(505\) −0.890072 + 0.428636i −0.0396077 + 0.0190741i
\(506\) 2.41185 + 3.02436i 0.107220 + 0.134449i
\(507\) 0.724037 0.348678i 0.0321556 0.0154853i
\(508\) −12.0889 + 15.1590i −0.536357 + 0.672570i
\(509\) −4.28244 −0.189816 −0.0949078 0.995486i \(-0.530256\pi\)
−0.0949078 + 0.995486i \(0.530256\pi\)
\(510\) −0.356625 −0.0157916
\(511\) 1.98508 2.48921i 0.0878149 0.110116i
\(512\) −13.2070 6.36015i −0.583672 0.281081i
\(513\) 0.775564 + 3.39797i 0.0342420 + 0.150024i
\(514\) −6.98997 + 30.6251i −0.308314 + 1.35081i
\(515\) −8.32649 −0.366909
\(516\) −0.687062 0.265524i −0.0302462 0.0116891i
\(517\) −2.17563 −0.0956840
\(518\) −4.39379 + 19.2505i −0.193052 + 0.845816i
\(519\) 0.0828664 + 0.363062i 0.00363743 + 0.0159366i
\(520\) 5.96778 + 2.87393i 0.261704 + 0.126030i
\(521\) 16.6824 20.9191i 0.730870 0.916482i −0.268028 0.963411i \(-0.586372\pi\)
0.998898 + 0.0469290i \(0.0149434\pi\)
\(522\) 56.3196 2.46504
\(523\) −35.9068 −1.57009 −0.785046 0.619437i \(-0.787361\pi\)
−0.785046 + 0.619437i \(0.787361\pi\)
\(524\) −3.28012 + 4.11313i −0.143293 + 0.179683i
\(525\) −0.0939286 + 0.0452336i −0.00409938 + 0.00197416i
\(526\) −7.01795 8.80023i −0.305997 0.383708i
\(527\) −6.85097 + 3.29926i −0.298433 + 0.143718i
\(528\) 0.196170 0.859479i 0.00853722 0.0374040i
\(529\) −13.4802 + 16.9036i −0.586095 + 0.734940i
\(530\) −4.49311 + 19.6856i −0.195168 + 0.855088i
\(531\) 22.3283 + 10.7527i 0.968964 + 0.466628i
\(532\) −7.53584 9.44964i −0.326720 0.409694i
\(533\) 14.1309 + 17.7196i 0.612079 + 0.767522i
\(534\) 0.545712 + 2.39092i 0.0236153 + 0.103465i
\(535\) −29.6860 14.2960i −1.28344 0.618071i
\(536\) 6.82059 3.28462i 0.294605 0.141874i
\(537\) −0.184100 0.806596i −0.00794451 0.0348072i
\(538\) −5.53032 24.2299i −0.238429 1.04463i
\(539\) 6.84373 3.29577i 0.294780 0.141959i
\(540\) −1.26610 0.609722i −0.0544843 0.0262382i
\(541\) 5.66700 + 24.8287i 0.243643 + 1.06747i 0.937671 + 0.347523i \(0.112977\pi\)
−0.694028 + 0.719948i \(0.744166\pi\)
\(542\) 16.0368 + 20.1095i 0.688839 + 0.863776i
\(543\) 0.728440 + 0.913434i 0.0312603 + 0.0391992i
\(544\) 5.31612 + 2.56011i 0.227927 + 0.109764i
\(545\) 3.50298 15.3476i 0.150051 0.657418i
\(546\) 0.389261 0.488118i 0.0166588 0.0208895i
\(547\) −0.724301 + 3.17337i −0.0309689 + 0.135684i −0.988049 0.154140i \(-0.950739\pi\)
0.957080 + 0.289823i \(0.0935965\pi\)
\(548\) 15.2209 7.33002i 0.650207 0.313123i
\(549\) −6.09681 7.64516i −0.260205 0.326287i
\(550\) 1.89667 0.913390i 0.0808745 0.0389471i
\(551\) −39.9977 + 50.1556i −1.70396 + 2.13670i
\(552\) −0.166211 −0.00707441
\(553\) 21.4481 0.912068
\(554\) 10.9113 13.6824i 0.463578 0.581308i
\(555\) −1.17621 0.566431i −0.0499272 0.0240437i
\(556\) −3.27051 14.3290i −0.138700 0.607686i
\(557\) −5.45612 + 23.9048i −0.231183 + 1.01288i 0.717476 + 0.696583i \(0.245297\pi\)
−0.948660 + 0.316298i \(0.897560\pi\)
\(558\) −40.4997 −1.71449
\(559\) −9.64057 10.2820i −0.407753 0.434881i
\(560\) −17.6547 −0.746049
\(561\) −0.0394658 + 0.172911i −0.00166625 + 0.00730031i
\(562\) 5.51456 + 24.1609i 0.232618 + 1.01916i
\(563\) −8.95704 4.31348i −0.377494 0.181792i 0.235509 0.971872i \(-0.424324\pi\)
−0.613003 + 0.790081i \(0.710039\pi\)
\(564\) −0.0823870 + 0.103310i −0.00346912 + 0.00435014i
\(565\) 10.0763 0.423914
\(566\) 37.5370 1.57780
\(567\) −9.45644 + 11.8580i −0.397133 + 0.497989i
\(568\) 1.89930 0.914656i 0.0796930 0.0383781i
\(569\) 5.20643 + 6.52866i 0.218265 + 0.273696i 0.878894 0.477017i \(-0.158282\pi\)
−0.660629 + 0.750712i \(0.729710\pi\)
\(570\) 1.94929 0.938731i 0.0816469 0.0393191i
\(571\) 5.89616 25.8328i 0.246747 1.08107i −0.687988 0.725722i \(-0.741506\pi\)
0.934735 0.355346i \(-0.115637\pi\)
\(572\) −2.90319 + 3.64049i −0.121389 + 0.152217i
\(573\) −0.319612 + 1.40031i −0.0133520 + 0.0584989i
\(574\) −28.7751 13.8573i −1.20105 0.578394i
\(575\) −0.468061 0.586930i −0.0195195 0.0244767i
\(576\) 1.05614 + 1.32436i 0.0440059 + 0.0551817i
\(577\) 4.58169 + 20.0737i 0.190738 + 0.835679i 0.976218 + 0.216791i \(0.0695591\pi\)
−0.785480 + 0.618887i \(0.787584\pi\)
\(578\) −1.60447 0.772671i −0.0667371 0.0321389i
\(579\) −1.02291 + 0.492609i −0.0425108 + 0.0204721i
\(580\) −5.75557 25.2168i −0.238987 1.04707i
\(581\) −6.44372 28.2318i −0.267331 1.17125i
\(582\) 1.71460 0.825708i 0.0710725 0.0342267i
\(583\) 9.04741 + 4.35700i 0.374705 + 0.180449i
\(584\) −0.614687 2.69312i −0.0254359 0.111442i
\(585\) −8.36993 10.4956i −0.346054 0.433938i
\(586\) 19.6490 + 24.6391i 0.811695 + 1.01783i
\(587\) −30.3133 14.5981i −1.25116 0.602529i −0.313340 0.949641i \(-0.601448\pi\)
−0.937824 + 0.347112i \(0.887162\pi\)
\(588\) 0.102659 0.449780i 0.00423360 0.0185486i
\(589\) 28.7626 36.0671i 1.18514 1.48612i
\(590\) 6.85699 30.0425i 0.282298 1.23683i
\(591\) 0.526222 0.253415i 0.0216459 0.0104241i
\(592\) 20.2034 + 25.3343i 0.830356 + 1.04123i
\(593\) −7.69649 + 3.70643i −0.316057 + 0.152205i −0.585186 0.810899i \(-0.698978\pi\)
0.269129 + 0.963104i \(0.413264\pi\)
\(594\) −1.17974 + 1.47935i −0.0484053 + 0.0606983i
\(595\) 3.55180 0.145610
\(596\) 25.4440 1.04223
\(597\) 0.926811 1.16218i 0.0379319 0.0475650i
\(598\) 4.05048 + 1.95061i 0.165637 + 0.0797663i
\(599\) 5.07694 + 22.2435i 0.207438 + 0.908846i 0.966264 + 0.257553i \(0.0829161\pi\)
−0.758826 + 0.651293i \(0.774227\pi\)
\(600\) −0.0201277 + 0.0881850i −0.000821708 + 0.00360014i
\(601\) 17.0521 0.695571 0.347786 0.937574i \(-0.386934\pi\)
0.347786 + 0.937574i \(0.386934\pi\)
\(602\) 18.5265 + 7.15980i 0.755083 + 0.291812i
\(603\) −15.3427 −0.624803
\(604\) 6.01123 26.3369i 0.244594 1.07163i
\(605\) −3.52206 15.4312i −0.143192 0.627366i
\(606\) 0.0727894 + 0.0350535i 0.00295687 + 0.00142395i
\(607\) 9.23963 11.5861i 0.375025 0.470266i −0.558123 0.829758i \(-0.688478\pi\)
0.933148 + 0.359492i \(0.117050\pi\)
\(608\) −35.7965 −1.45174
\(609\) 1.72473 0.0698895
\(610\) −7.58090 + 9.50614i −0.306941 + 0.384892i
\(611\) −2.27809 + 1.09707i −0.0921616 + 0.0443827i
\(612\) −2.18424 2.73895i −0.0882926 0.110715i
\(613\) −31.1241 + 14.9886i −1.25709 + 0.605383i −0.939404 0.342812i \(-0.888620\pi\)
−0.317687 + 0.948196i \(0.602906\pi\)
\(614\) −12.0721 + 52.8912i −0.487189 + 2.13451i
\(615\) 1.31656 1.65092i 0.0530889 0.0665714i
\(616\) −1.03294 + 4.52563i −0.0416185 + 0.182343i
\(617\) 28.7440 + 13.8424i 1.15719 + 0.557273i 0.911185 0.411996i \(-0.135168\pi\)
0.246003 + 0.969269i \(0.420883\pi\)
\(618\) 0.424556 + 0.532376i 0.0170781 + 0.0214153i
\(619\) −3.87958 4.86484i −0.155934 0.195535i 0.697728 0.716363i \(-0.254195\pi\)
−0.853661 + 0.520828i \(0.825623\pi\)
\(620\) 4.13886 + 18.1335i 0.166220 + 0.728260i
\(621\) 0.607934 + 0.292766i 0.0243955 + 0.0117483i
\(622\) −14.5213 + 6.99311i −0.582252 + 0.280398i
\(623\) −5.43501 23.8123i −0.217749 0.954021i
\(624\) −0.227987 0.998876i −0.00912678 0.0399870i
\(625\) 19.2768 9.28320i 0.771071 0.371328i
\(626\) −46.6467 22.4639i −1.86438 0.897837i
\(627\) −0.239429 1.04901i −0.00956187 0.0418933i
\(628\) 2.43073 + 3.04804i 0.0969967 + 0.121630i
\(629\) −4.06455 5.09678i −0.162064 0.203222i
\(630\) 17.0438 + 8.20788i 0.679043 + 0.327010i
\(631\) 6.49915 28.4746i 0.258727 1.13356i −0.663887 0.747833i \(-0.731094\pi\)
0.922614 0.385724i \(-0.126048\pi\)
\(632\) 11.6025 14.5491i 0.461525 0.578733i
\(633\) −0.157145 + 0.688499i −0.00624597 + 0.0273654i
\(634\) −18.5333 + 8.92518i −0.736053 + 0.354464i
\(635\) 21.5520 + 27.0254i 0.855265 + 1.07247i
\(636\) 0.549502 0.264626i 0.0217892 0.0104931i
\(637\) 5.50413 6.90196i 0.218082 0.273466i
\(638\) −34.8270 −1.37881
\(639\) −4.27242 −0.169014
\(640\) −14.0516 + 17.6202i −0.555440 + 0.696499i
\(641\) 11.2599 + 5.42249i 0.444740 + 0.214175i 0.642831 0.766008i \(-0.277760\pi\)
−0.198091 + 0.980184i \(0.563474\pi\)
\(642\) 0.599592 + 2.62699i 0.0236640 + 0.103679i
\(643\) −1.21129 + 5.30701i −0.0477686 + 0.209288i −0.993180 0.116591i \(-0.962803\pi\)
0.945411 + 0.325879i \(0.105660\pi\)
\(644\) −2.33992 −0.0922059
\(645\) −0.734072 + 1.08885i −0.0289040 + 0.0428733i
\(646\) 10.8038 0.425070
\(647\) −1.07898 + 4.72731i −0.0424190 + 0.185850i −0.991699 0.128583i \(-0.958957\pi\)
0.949280 + 0.314433i \(0.101814\pi\)
\(648\) 2.92822 + 12.8294i 0.115031 + 0.503985i
\(649\) −13.8074 6.64928i −0.541986 0.261007i
\(650\) 1.52542 1.91281i 0.0598318 0.0750267i
\(651\) −1.24026 −0.0486096
\(652\) 26.8087 1.04991
\(653\) 4.38730 5.50150i 0.171688 0.215290i −0.688541 0.725197i \(-0.741749\pi\)
0.860230 + 0.509907i \(0.170320\pi\)
\(654\) −1.15990 + 0.558578i −0.0453556 + 0.0218421i
\(655\) 5.84778 + 7.33288i 0.228492 + 0.286520i
\(656\) −47.2219 + 22.7409i −1.84371 + 0.887882i
\(657\) −1.24579 + 5.45815i −0.0486028 + 0.212943i
\(658\) 2.22155 2.78573i 0.0866049 0.108599i
\(659\) 6.34052 27.7796i 0.246992 1.08214i −0.687508 0.726177i \(-0.741295\pi\)
0.934500 0.355964i \(-0.115847\pi\)
\(660\) 0.390865 + 0.188231i 0.0152144 + 0.00732687i
\(661\) −3.59329 4.50584i −0.139763 0.175257i 0.707024 0.707190i \(-0.250037\pi\)
−0.846787 + 0.531933i \(0.821466\pi\)
\(662\) 10.7568 + 13.4886i 0.418074 + 0.524249i
\(663\) 0.0458667 + 0.200955i 0.00178131 + 0.00780445i
\(664\) −22.6365 10.9012i −0.878468 0.423048i
\(665\) −19.4139 + 9.34927i −0.752841 + 0.362549i
\(666\) −7.72615 33.8505i −0.299382 1.31168i
\(667\) 2.76361 + 12.1082i 0.107007 + 0.468830i
\(668\) −3.97387 + 1.91372i −0.153754 + 0.0740439i
\(669\) 1.44418 + 0.695481i 0.0558352 + 0.0268888i
\(670\) 4.24512 + 18.5991i 0.164003 + 0.718546i
\(671\) 3.77015 + 4.72762i 0.145545 + 0.182508i
\(672\) 0.600046 + 0.752434i 0.0231473 + 0.0290258i
\(673\) 4.78010 + 2.30198i 0.184259 + 0.0887346i 0.523739 0.851879i \(-0.324537\pi\)
−0.339480 + 0.940613i \(0.610251\pi\)
\(674\) −10.9240 + 47.8613i −0.420778 + 1.84355i
\(675\) 0.228949 0.287093i 0.00881225 0.0110502i
\(676\) 2.18423 9.56973i 0.0840088 0.368067i
\(677\) −8.73637 + 4.20721i −0.335766 + 0.161696i −0.594168 0.804341i \(-0.702518\pi\)
0.258402 + 0.966038i \(0.416804\pi\)
\(678\) −0.513776 0.644255i −0.0197315 0.0247425i
\(679\) −17.0765 + 8.22362i −0.655337 + 0.315594i
\(680\) 1.92138 2.40933i 0.0736814 0.0923935i
\(681\) −0.0686703 −0.00263145
\(682\) 25.0442 0.958993
\(683\) −5.93499 + 7.44224i −0.227096 + 0.284770i −0.882305 0.470678i \(-0.844009\pi\)
0.655209 + 0.755448i \(0.272581\pi\)
\(684\) 19.1485 + 9.22145i 0.732163 + 0.352591i
\(685\) −6.70200 29.3634i −0.256070 1.12192i
\(686\) −7.48615 + 32.7989i −0.285822 + 1.25227i
\(687\) −0.285460 −0.0108910
\(688\) 28.1424 16.4444i 1.07292 0.626936i
\(689\) 11.6705 0.444612
\(690\) 0.0932048 0.408357i 0.00354824 0.0155459i
\(691\) −3.59882 15.7674i −0.136905 0.599822i −0.996105 0.0881806i \(-0.971895\pi\)
0.859199 0.511641i \(-0.170962\pi\)
\(692\) 4.09821 + 1.97359i 0.155790 + 0.0750247i
\(693\) 5.86577 7.35545i 0.222822 0.279410i
\(694\) 31.1894 1.18394
\(695\) −26.2027 −0.993925
\(696\) 0.933006 1.16995i 0.0353655 0.0443469i
\(697\) 9.50016 4.57504i 0.359844 0.173292i
\(698\) 36.9428 + 46.3248i 1.39831 + 1.75342i
\(699\) 1.33837 0.644527i 0.0506220 0.0243783i
\(700\) −0.283358 + 1.24147i −0.0107099 + 0.0469232i
\(701\) 18.0984 22.6946i 0.683566 0.857165i −0.312111 0.950046i \(-0.601036\pi\)
0.995677 + 0.0928807i \(0.0296075\pi\)
\(702\) −0.489332 + 2.14390i −0.0184687 + 0.0809165i
\(703\) 35.6327 + 17.1598i 1.34391 + 0.647194i
\(704\) −0.653098 0.818959i −0.0246146 0.0308657i
\(705\) 0.146879 + 0.184181i 0.00553179 + 0.00693665i
\(706\) 9.90265 + 43.3863i 0.372691 + 1.63287i
\(707\) −0.724944 0.349115i −0.0272643 0.0131298i
\(708\) −0.838601 + 0.403849i −0.0315166 + 0.0151776i
\(709\) 6.14043 + 26.9030i 0.230609 + 1.01036i 0.949137 + 0.314864i \(0.101959\pi\)
−0.718528 + 0.695498i \(0.755184\pi\)
\(710\) 1.18212 + 5.17922i 0.0443643 + 0.194373i
\(711\) −33.9800 + 16.3639i −1.27435 + 0.613694i
\(712\) −19.0930 9.19469i −0.715539 0.344586i
\(713\) −1.98732 8.70704i −0.0744259 0.326081i
\(714\) −0.181101 0.227093i −0.00677754 0.00849876i
\(715\) 5.17581 + 6.49026i 0.193564 + 0.242722i
\(716\) −9.10478 4.38463i −0.340262 0.163861i
\(717\) 0.000358176 0.00156927i 1.33763e−5 5.86056e-5i
\(718\) −20.9208 + 26.2339i −0.780759 + 0.979041i
\(719\) 1.95599 8.56975i 0.0729461 0.319598i −0.925270 0.379310i \(-0.876161\pi\)
0.998216 + 0.0597127i \(0.0190184\pi\)
\(720\) 27.9701 13.4697i 1.04239 0.501987i
\(721\) −4.22835 5.30218i −0.157472 0.197464i
\(722\) −28.5682 + 13.7577i −1.06320 + 0.512009i
\(723\) −1.70643 + 2.13979i −0.0634627 + 0.0795797i
\(724\) 14.2705 0.530361
\(725\) 6.75878 0.251015
\(726\) −0.807046 + 1.01200i −0.0299523 + 0.0375590i
\(727\) −38.5410 18.5603i −1.42940 0.688365i −0.450518 0.892767i \(-0.648761\pi\)
−0.978887 + 0.204402i \(0.934475\pi\)
\(728\) 1.20048 + 5.25963i 0.0444926 + 0.194935i
\(729\) 5.89784 25.8401i 0.218439 0.957042i
\(730\) 6.96131 0.257650
\(731\) −5.66173 + 3.30830i −0.209407 + 0.122362i
\(732\) 0.367260 0.0135743
\(733\) 1.10957 4.86133i 0.0409828 0.179557i −0.950294 0.311354i \(-0.899217\pi\)
0.991277 + 0.131797i \(0.0420746\pi\)
\(734\) 5.73152 + 25.1114i 0.211554 + 0.926880i
\(735\) −0.741036 0.356864i −0.0273335 0.0131631i
\(736\) −4.32085 + 5.41818i −0.159269 + 0.199717i
\(737\) 9.48763 0.349481
\(738\) 56.1604 2.06729
\(739\) −6.79667 + 8.52275i −0.250019 + 0.313514i −0.890965 0.454072i \(-0.849971\pi\)
0.640946 + 0.767586i \(0.278542\pi\)
\(740\) −14.3668 + 6.91868i −0.528134 + 0.254336i
\(741\) −0.779671 0.977677i −0.0286419 0.0359158i
\(742\) −14.8172 + 7.13558i −0.543956 + 0.261955i
\(743\) 1.93635 8.48370i 0.0710377 0.311237i −0.926909 0.375286i \(-0.877544\pi\)
0.997947 + 0.0640496i \(0.0204016\pi\)
\(744\) −0.670929 + 0.841318i −0.0245974 + 0.0308442i
\(745\) 10.0939 44.2242i 0.369811 1.62025i
\(746\) −21.8410 10.5181i −0.799656 0.385094i
\(747\) 31.7482 + 39.8110i 1.16161 + 1.45661i
\(748\) 1.35069 + 1.69371i 0.0493861 + 0.0619282i
\(749\) −5.97163 26.1634i −0.218198 0.955990i
\(750\) −1.81191 0.872571i −0.0661617 0.0318618i
\(751\) 14.7566 7.10638i 0.538474 0.259316i −0.144821 0.989458i \(-0.546261\pi\)
0.683295 + 0.730142i \(0.260546\pi\)
\(752\) −1.30114 5.70067i −0.0474477 0.207882i
\(753\) −0.476791 2.08896i −0.0173752 0.0761259i
\(754\) −36.4671 + 17.5617i −1.32806 + 0.639558i
\(755\) −43.3915 20.8962i −1.57918 0.760492i
\(756\) −0.254688 1.11586i −0.00926292 0.0405835i
\(757\) −2.95827 3.70956i −0.107520 0.134826i 0.725160 0.688581i \(-0.241766\pi\)
−0.832680 + 0.553755i \(0.813195\pi\)