Properties

Label 588.2.x.b.223.4
Level $588$
Weight $2$
Character 588.223
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 223.4
Character \(\chi\) \(=\) 588.223
Dual form 588.2.x.b.559.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.25944 - 0.643281i) q^{2} +(0.222521 - 0.974928i) q^{3} +(1.17238 + 1.62035i) q^{4} +(0.631969 + 0.144243i) q^{5} +(-0.907404 + 1.08472i) q^{6} +(-2.32235 + 1.26755i) q^{7} +(-0.434204 - 2.79490i) q^{8} +(-0.900969 - 0.433884i) q^{9} +O(q^{10})\) \(q+(-1.25944 - 0.643281i) q^{2} +(0.222521 - 0.974928i) q^{3} +(1.17238 + 1.62035i) q^{4} +(0.631969 + 0.144243i) q^{5} +(-0.907404 + 1.08472i) q^{6} +(-2.32235 + 1.26755i) q^{7} +(-0.434204 - 2.79490i) q^{8} +(-0.900969 - 0.433884i) q^{9} +(-0.703138 - 0.588198i) q^{10} +(2.50272 + 5.19695i) q^{11} +(1.84060 - 0.782424i) q^{12} +(-2.15619 - 4.47737i) q^{13} +(3.74025 - 0.102487i) q^{14} +(0.281252 - 0.584027i) q^{15} +(-1.25105 + 3.79932i) q^{16} +(6.08020 - 4.84880i) q^{17} +(0.855607 + 1.12603i) q^{18} +5.84701 q^{19} +(0.507184 + 1.19312i) q^{20} +(0.719004 + 2.54618i) q^{21} +(0.191073 - 8.15520i) q^{22} +(2.05670 + 1.64016i) q^{23} +(-2.82145 - 0.198607i) q^{24} +(-4.12627 - 1.98711i) q^{25} +(-0.164616 + 7.02601i) q^{26} +(-0.623490 + 0.781831i) q^{27} +(-4.77655 - 2.27696i) q^{28} +(4.35629 + 5.46261i) q^{29} +(-0.729914 + 0.554622i) q^{30} +4.28595 q^{31} +(4.01966 - 3.98024i) q^{32} +(5.62356 - 1.28354i) q^{33} +(-10.7768 + 2.19550i) q^{34} +(-1.65049 + 0.466073i) q^{35} +(-0.353235 - 1.96856i) q^{36} +(1.37172 + 1.72009i) q^{37} +(-7.36397 - 3.76127i) q^{38} +(-4.84491 + 1.10582i) q^{39} +(0.128741 - 1.82892i) q^{40} +(7.63070 + 1.74166i) q^{41} +(0.732367 - 3.66928i) q^{42} +(0.773614 - 0.176572i) q^{43} +(-5.48673 + 10.1481i) q^{44} +(-0.506799 - 0.404159i) q^{45} +(-1.53520 - 3.38872i) q^{46} +(-0.374839 + 0.180513i) q^{47} +(3.42568 + 2.06512i) q^{48} +(3.78661 - 5.88741i) q^{49} +(3.91852 + 5.15699i) q^{50} +(-3.37426 - 7.00672i) q^{51} +(4.72702 - 8.74294i) q^{52} +(2.35778 - 2.95656i) q^{53} +(1.28819 - 0.583591i) q^{54} +(0.832018 + 3.64531i) q^{55} +(4.55106 + 5.94036i) q^{56} +(1.30108 - 5.70042i) q^{57} +(-1.97249 - 9.68215i) q^{58} +(-1.21566 - 5.32614i) q^{59} +(1.27606 - 0.228974i) q^{60} +(-3.31715 + 2.64534i) q^{61} +(-5.39790 - 2.75707i) q^{62} +(2.64234 - 0.134398i) q^{63} +(-7.62293 + 2.42711i) q^{64} +(-0.716814 - 3.14057i) q^{65} +(-7.90821 - 2.00098i) q^{66} -12.1250i q^{67} +(14.9850 + 4.16741i) q^{68} +(2.05670 - 1.64016i) q^{69} +(2.37851 + 0.474735i) q^{70} +(-3.04045 - 2.42468i) q^{71} +(-0.821458 + 2.70651i) q^{72} +(-2.91550 + 6.05409i) q^{73} +(-0.621104 - 3.04875i) q^{74} +(-2.85546 + 3.58064i) q^{75} +(6.85492 + 9.47419i) q^{76} +(-12.3996 - 8.89680i) q^{77} +(6.81322 + 1.72392i) q^{78} -2.62443i q^{79} +(-1.33865 + 2.22060i) q^{80} +(0.623490 + 0.781831i) q^{81} +(-8.49003 - 7.10219i) q^{82} +(5.45244 + 2.62576i) q^{83} +(-3.28275 + 4.15013i) q^{84} +(4.54190 - 2.18726i) q^{85} +(-1.08791 - 0.275269i) q^{86} +(6.29502 - 3.03152i) q^{87} +(13.4383 - 9.25138i) q^{88} +(3.02680 - 6.28522i) q^{89} +(0.378296 + 0.835029i) q^{90} +(10.6827 + 7.66492i) q^{91} +(-0.246402 + 5.25546i) q^{92} +(0.953714 - 4.17850i) q^{93} +(0.588207 + 0.0137815i) q^{94} +(3.69513 + 0.843389i) q^{95} +(-2.98599 - 4.80456i) q^{96} +2.58923i q^{97} +(-8.55627 + 4.97899i) q^{98} -5.76818i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} + O(q^{10}) \) \( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{14}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.25944 0.643281i −0.890559 0.454868i
\(3\) 0.222521 0.974928i 0.128473 0.562875i
\(4\) 1.17238 + 1.62035i 0.586190 + 0.810174i
\(5\) 0.631969 + 0.144243i 0.282625 + 0.0645073i 0.361483 0.932379i \(-0.382270\pi\)
−0.0788585 + 0.996886i \(0.525128\pi\)
\(6\) −0.907404 + 1.08472i −0.370446 + 0.442835i
\(7\) −2.32235 + 1.26755i −0.877765 + 0.479091i
\(8\) −0.434204 2.79490i −0.153514 0.988146i
\(9\) −0.900969 0.433884i −0.300323 0.144628i
\(10\) −0.703138 0.588198i −0.222352 0.186005i
\(11\) 2.50272 + 5.19695i 0.754598 + 1.56694i 0.822181 + 0.569226i \(0.192757\pi\)
−0.0675831 + 0.997714i \(0.521529\pi\)
\(12\) 1.84060 0.782424i 0.531336 0.225866i
\(13\) −2.15619 4.47737i −0.598018 1.24180i −0.951872 0.306497i \(-0.900843\pi\)
0.353853 0.935301i \(-0.384871\pi\)
\(14\) 3.74025 0.102487i 0.999625 0.0273909i
\(15\) 0.281252 0.584027i 0.0726191 0.150795i
\(16\) −1.25105 + 3.79932i −0.312763 + 0.949831i
\(17\) 6.08020 4.84880i 1.47467 1.17601i 0.529989 0.848004i \(-0.322196\pi\)
0.944677 0.328002i \(-0.106375\pi\)
\(18\) 0.855607 + 1.12603i 0.201669 + 0.265407i
\(19\) 5.84701 1.34140 0.670699 0.741730i \(-0.265994\pi\)
0.670699 + 0.741730i \(0.265994\pi\)
\(20\) 0.507184 + 1.19312i 0.113410 + 0.266789i
\(21\) 0.719004 + 2.54618i 0.156899 + 0.555622i
\(22\) 0.191073 8.15520i 0.0407369 1.73869i
\(23\) 2.05670 + 1.64016i 0.428852 + 0.341998i 0.814008 0.580854i \(-0.197281\pi\)
−0.385157 + 0.922851i \(0.625853\pi\)
\(24\) −2.82145 0.198607i −0.575925 0.0405404i
\(25\) −4.12627 1.98711i −0.825253 0.397421i
\(26\) −0.164616 + 7.02601i −0.0322839 + 1.37791i
\(27\) −0.623490 + 0.781831i −0.119991 + 0.150464i
\(28\) −4.77655 2.27696i −0.902684 0.430304i
\(29\) 4.35629 + 5.46261i 0.808942 + 1.01438i 0.999465 + 0.0326988i \(0.0104102\pi\)
−0.190523 + 0.981683i \(0.561018\pi\)
\(30\) −0.729914 + 0.554622i −0.133263 + 0.101260i
\(31\) 4.28595 0.769780 0.384890 0.922962i \(-0.374239\pi\)
0.384890 + 0.922962i \(0.374239\pi\)
\(32\) 4.01966 3.98024i 0.710582 0.703614i
\(33\) 5.62356 1.28354i 0.978936 0.223436i
\(34\) −10.7768 + 2.19550i −1.84820 + 0.376525i
\(35\) −1.65049 + 0.466073i −0.278983 + 0.0787807i
\(36\) −0.353235 1.96856i −0.0588725 0.328093i
\(37\) 1.37172 + 1.72009i 0.225510 + 0.282780i 0.881695 0.471819i \(-0.156403\pi\)
−0.656185 + 0.754600i \(0.727831\pi\)
\(38\) −7.36397 3.76127i −1.19459 0.610159i
\(39\) −4.84491 + 1.10582i −0.775806 + 0.177073i
\(40\) 0.128741 1.82892i 0.0203557 0.289178i
\(41\) 7.63070 + 1.74166i 1.19171 + 0.272001i 0.771981 0.635646i \(-0.219266\pi\)
0.419734 + 0.907647i \(0.362123\pi\)
\(42\) 0.732367 3.66928i 0.113007 0.566183i
\(43\) 0.773614 0.176572i 0.117975 0.0269270i −0.163126 0.986605i \(-0.552158\pi\)
0.281101 + 0.959678i \(0.409300\pi\)
\(44\) −5.48673 + 10.1481i −0.827155 + 1.52988i
\(45\) −0.506799 0.404159i −0.0755492 0.0602485i
\(46\) −1.53520 3.38872i −0.226354 0.499640i
\(47\) −0.374839 + 0.180513i −0.0546758 + 0.0263305i −0.461022 0.887389i \(-0.652517\pi\)
0.406346 + 0.913719i \(0.366803\pi\)
\(48\) 3.42568 + 2.06512i 0.494455 + 0.298074i
\(49\) 3.78661 5.88741i 0.540944 0.841059i
\(50\) 3.91852 + 5.15699i 0.554162 + 0.729308i
\(51\) −3.37426 7.00672i −0.472491 0.981137i
\(52\) 4.72702 8.74294i 0.655520 1.21243i
\(53\) 2.35778 2.95656i 0.323866 0.406115i −0.593069 0.805152i \(-0.702084\pi\)
0.916935 + 0.399036i \(0.130655\pi\)
\(54\) 1.28819 0.583591i 0.175300 0.0794167i
\(55\) 0.832018 + 3.64531i 0.112189 + 0.491533i
\(56\) 4.55106 + 5.94036i 0.608161 + 0.793814i
\(57\) 1.30108 5.70042i 0.172333 0.755039i
\(58\) −1.97249 9.68215i −0.259001 1.27133i
\(59\) −1.21566 5.32614i −0.158265 0.693404i −0.990331 0.138727i \(-0.955699\pi\)
0.832066 0.554677i \(-0.187158\pi\)
\(60\) 1.27606 0.228974i 0.164739 0.0295605i
\(61\) −3.31715 + 2.64534i −0.424717 + 0.338701i −0.812409 0.583089i \(-0.801844\pi\)
0.387691 + 0.921789i \(0.373273\pi\)
\(62\) −5.39790 2.75707i −0.685534 0.350148i
\(63\) 2.64234 0.134398i 0.332903 0.0169326i
\(64\) −7.62293 + 2.42711i −0.952867 + 0.303389i
\(65\) −0.716814 3.14057i −0.0889099 0.389540i
\(66\) −7.90821 2.00098i −0.973434 0.246304i
\(67\) 12.1250i 1.48131i −0.671888 0.740653i \(-0.734516\pi\)
0.671888 0.740653i \(-0.265484\pi\)
\(68\) 14.9850 + 4.16741i 1.81720 + 0.505372i
\(69\) 2.05670 1.64016i 0.247598 0.197452i
\(70\) 2.37851 + 0.474735i 0.284286 + 0.0567417i
\(71\) −3.04045 2.42468i −0.360835 0.287757i 0.426244 0.904608i \(-0.359836\pi\)
−0.787079 + 0.616852i \(0.788408\pi\)
\(72\) −0.821458 + 2.70651i −0.0968097 + 0.318965i
\(73\) −2.91550 + 6.05409i −0.341233 + 0.708578i −0.999003 0.0446409i \(-0.985786\pi\)
0.657770 + 0.753219i \(0.271500\pi\)
\(74\) −0.621104 3.04875i −0.0722019 0.354410i
\(75\) −2.85546 + 3.58064i −0.329721 + 0.413457i
\(76\) 6.85492 + 9.47419i 0.786313 + 1.08676i
\(77\) −12.3996 8.89680i −1.41307 1.01388i
\(78\) 6.81322 + 1.72392i 0.771445 + 0.195196i
\(79\) 2.62443i 0.295272i −0.989042 0.147636i \(-0.952834\pi\)
0.989042 0.147636i \(-0.0471664\pi\)
\(80\) −1.33865 + 2.22060i −0.149666 + 0.248270i
\(81\) 0.623490 + 0.781831i 0.0692766 + 0.0868702i
\(82\) −8.49003 7.10219i −0.937567 0.784306i
\(83\) 5.45244 + 2.62576i 0.598483 + 0.288214i 0.708495 0.705716i \(-0.249374\pi\)
−0.110011 + 0.993930i \(0.535089\pi\)
\(84\) −3.28275 + 4.15013i −0.358178 + 0.452816i
\(85\) 4.54190 2.18726i 0.492638 0.237242i
\(86\) −1.08791 0.275269i −0.117312 0.0296830i
\(87\) 6.29502 3.03152i 0.674897 0.325013i
\(88\) 13.4383 9.25138i 1.43252 0.986201i
\(89\) 3.02680 6.28522i 0.320840 0.666232i −0.676705 0.736254i \(-0.736593\pi\)
0.997545 + 0.0700222i \(0.0223070\pi\)
\(90\) 0.378296 + 0.835029i 0.0398759 + 0.0880197i
\(91\) 10.6827 + 7.66492i 1.11985 + 0.803502i
\(92\) −0.246402 + 5.25546i −0.0256892 + 0.547920i
\(93\) 0.953714 4.17850i 0.0988956 0.433290i
\(94\) 0.588207 + 0.0137815i 0.0606690 + 0.00142145i
\(95\) 3.69513 + 0.843389i 0.379112 + 0.0865299i
\(96\) −2.98599 4.80456i −0.304757 0.490364i
\(97\) 2.58923i 0.262897i 0.991323 + 0.131448i \(0.0419627\pi\)
−0.991323 + 0.131448i \(0.958037\pi\)
\(98\) −8.55627 + 4.97899i −0.864313 + 0.502954i
\(99\) 5.76818i 0.579724i
\(100\) −1.61775 9.01563i −0.161775 0.901563i
\(101\) −13.3061 3.03703i −1.32401 0.302196i −0.498649 0.866804i \(-0.666170\pi\)
−0.825359 + 0.564608i \(0.809027\pi\)
\(102\) −0.257612 + 10.9951i −0.0255073 + 1.08868i
\(103\) −2.83292 + 12.4118i −0.279136 + 1.22298i 0.619752 + 0.784798i \(0.287233\pi\)
−0.898888 + 0.438178i \(0.855624\pi\)
\(104\) −11.5776 + 7.97041i −1.13527 + 0.781563i
\(105\) 0.0871197 + 1.71282i 0.00850201 + 0.167154i
\(106\) −4.87138 + 2.20690i −0.473151 + 0.214353i
\(107\) −8.10270 + 16.8254i −0.783317 + 1.62657i −0.00396206 + 0.999992i \(0.501261\pi\)
−0.779355 + 0.626583i \(0.784453\pi\)
\(108\) −1.99781 0.0936669i −0.192239 0.00901310i
\(109\) 11.5659 5.56987i 1.10782 0.533496i 0.211709 0.977333i \(-0.432097\pi\)
0.896108 + 0.443836i \(0.146383\pi\)
\(110\) 1.29708 5.12627i 0.123672 0.488771i
\(111\) 1.98220 0.954575i 0.188142 0.0906043i
\(112\) −1.91047 10.4091i −0.180523 0.983571i
\(113\) 11.4005 + 5.49019i 1.07247 + 0.516474i 0.884902 0.465778i \(-0.154225\pi\)
0.187567 + 0.982252i \(0.439940\pi\)
\(114\) −5.30561 + 6.34237i −0.496915 + 0.594018i
\(115\) 1.06319 + 1.33320i 0.0991428 + 0.124321i
\(116\) −3.74411 + 13.4630i −0.347632 + 1.25000i
\(117\) 4.96950i 0.459431i
\(118\) −1.89516 + 7.48996i −0.174463 + 0.689506i
\(119\) −7.97423 + 18.9676i −0.730997 + 1.73876i
\(120\) −1.75442 0.532486i −0.160156 0.0486091i
\(121\) −13.8863 + 17.4129i −1.26239 + 1.58299i
\(122\) 5.87944 1.19779i 0.532300 0.108442i
\(123\) 3.39598 7.05182i 0.306205 0.635842i
\(124\) 5.02476 + 6.94473i 0.451237 + 0.623656i
\(125\) −4.85504 3.87177i −0.434248 0.346301i
\(126\) −3.41432 1.53050i −0.304172 0.136348i
\(127\) −13.6588 + 10.8926i −1.21203 + 0.966559i −0.999943 0.0106930i \(-0.996596\pi\)
−0.212083 + 0.977252i \(0.568025\pi\)
\(128\) 11.1619 + 1.84689i 0.986586 + 0.163243i
\(129\) 0.793509i 0.0698646i
\(130\) −1.11748 + 4.41647i −0.0980097 + 0.387350i
\(131\) 1.54791 + 6.78184i 0.135242 + 0.592532i 0.996443 + 0.0842685i \(0.0268554\pi\)
−0.861201 + 0.508264i \(0.830288\pi\)
\(132\) 8.67273 + 7.60732i 0.754864 + 0.662132i
\(133\) −13.5788 + 7.41141i −1.17743 + 0.642651i
\(134\) −7.79979 + 15.2707i −0.673799 + 1.31919i
\(135\) −0.506799 + 0.404159i −0.0436183 + 0.0347845i
\(136\) −16.1920 14.8882i −1.38845 1.27665i
\(137\) 0.0851294 + 0.372976i 0.00727309 + 0.0318655i 0.978434 0.206558i \(-0.0662264\pi\)
−0.971161 + 0.238424i \(0.923369\pi\)
\(138\) −3.64538 + 0.742652i −0.310315 + 0.0632188i
\(139\) 0.265794 1.16452i 0.0225444 0.0987734i −0.962404 0.271622i \(-0.912440\pi\)
0.984948 + 0.172849i \(0.0552971\pi\)
\(140\) −2.69020 2.12795i −0.227363 0.179844i
\(141\) 0.0925775 + 0.405609i 0.00779643 + 0.0341584i
\(142\) 2.26952 + 5.00960i 0.190454 + 0.420397i
\(143\) 17.8723 22.4112i 1.49456 1.87412i
\(144\) 2.77562 2.88026i 0.231302 0.240022i
\(145\) 1.96509 + 4.08056i 0.163192 + 0.338872i
\(146\) 7.56638 5.74928i 0.626198 0.475814i
\(147\) −4.89720 5.00174i −0.403914 0.412537i
\(148\) −1.17896 + 4.23926i −0.0969097 + 0.348465i
\(149\) 7.14131 3.43907i 0.585039 0.281740i −0.117859 0.993030i \(-0.537603\pi\)
0.702898 + 0.711290i \(0.251889\pi\)
\(150\) 5.89964 2.67274i 0.481704 0.218228i
\(151\) −5.11299 4.07747i −0.416089 0.331820i 0.392966 0.919553i \(-0.371449\pi\)
−0.809055 + 0.587733i \(0.800021\pi\)
\(152\) −2.53879 16.3418i −0.205923 1.32550i
\(153\) −7.58189 + 1.73052i −0.612959 + 0.139904i
\(154\) 9.89343 + 19.1814i 0.797235 + 1.54568i
\(155\) 2.70859 + 0.618218i 0.217559 + 0.0496564i
\(156\) −7.47188 6.55399i −0.598229 0.524739i
\(157\) −19.6947 + 4.49519i −1.57181 + 0.358755i −0.917583 0.397543i \(-0.869863\pi\)
−0.654227 + 0.756299i \(0.727006\pi\)
\(158\) −1.68825 + 3.30532i −0.134310 + 0.262957i
\(159\) −2.35778 2.95656i −0.186984 0.234471i
\(160\) 3.11442 1.93558i 0.246216 0.153021i
\(161\) −6.85537 1.20205i −0.540279 0.0947349i
\(162\) −0.282311 1.38575i −0.0221804 0.108875i
\(163\) −15.3092 + 3.49423i −1.19911 + 0.273690i −0.775024 0.631932i \(-0.782262\pi\)
−0.424088 + 0.905621i \(0.639405\pi\)
\(164\) 6.12398 + 14.4063i 0.478203 + 1.12494i
\(165\) 3.73905 0.291085
\(166\) −5.17793 6.81444i −0.401885 0.528903i
\(167\) −10.5238 13.1964i −0.814352 1.02117i −0.999262 0.0384102i \(-0.987771\pi\)
0.184910 0.982756i \(-0.440801\pi\)
\(168\) 6.80413 3.11510i 0.524950 0.240335i
\(169\) −7.29230 + 9.14426i −0.560946 + 0.703405i
\(170\) −7.12728 0.166989i −0.546637 0.0128075i
\(171\) −5.26798 2.53692i −0.402852 0.194003i
\(172\) 1.19308 + 1.04651i 0.0909713 + 0.0797959i
\(173\) 12.0711 + 9.62641i 0.917751 + 0.731882i 0.963679 0.267062i \(-0.0860530\pi\)
−0.0459278 + 0.998945i \(0.514624\pi\)
\(174\) −9.87832 0.231445i −0.748873 0.0175458i
\(175\) 12.1014 0.615518i 0.914779 0.0465288i
\(176\) −22.8759 + 3.00699i −1.72434 + 0.226660i
\(177\) −5.46311 −0.410632
\(178\) −7.85524 + 5.96878i −0.588775 + 0.447379i
\(179\) 10.9788 8.75533i 0.820596 0.654404i −0.120436 0.992721i \(-0.538429\pi\)
0.941032 + 0.338317i \(0.109858\pi\)
\(180\) 0.0607168 1.29502i 0.00452557 0.0965250i
\(181\) 5.33646 11.0813i 0.396656 0.823664i −0.603008 0.797735i \(-0.706031\pi\)
0.999664 0.0259290i \(-0.00825438\pi\)
\(182\) −8.52356 16.5255i −0.631808 1.22495i
\(183\) 1.84088 + 3.82262i 0.136082 + 0.282576i
\(184\) 3.69107 6.46044i 0.272109 0.476270i
\(185\) 0.618776 + 1.28490i 0.0454933 + 0.0944678i
\(186\) −3.88909 + 4.64906i −0.285162 + 0.340886i
\(187\) 40.4160 + 19.4633i 2.95551 + 1.42330i
\(188\) −0.731947 0.395739i −0.0533827 0.0288623i
\(189\) 0.456946 2.60599i 0.0332380 0.189558i
\(190\) −4.11126 3.43920i −0.298262 0.249506i
\(191\) −7.95602 1.81591i −0.575678 0.131395i −0.0752372 0.997166i \(-0.523971\pi\)
−0.500440 + 0.865771i \(0.666829\pi\)
\(192\) 0.669996 + 7.97189i 0.0483528 + 0.575322i
\(193\) 2.30883 10.1156i 0.166193 0.728139i −0.821303 0.570493i \(-0.806752\pi\)
0.987496 0.157646i \(-0.0503906\pi\)
\(194\) 1.66560 3.26098i 0.119583 0.234125i
\(195\) −3.22133 −0.230685
\(196\) 13.9790 0.766657i 0.998499 0.0547612i
\(197\) 4.13862 0.294865 0.147432 0.989072i \(-0.452899\pi\)
0.147432 + 0.989072i \(0.452899\pi\)
\(198\) −3.71056 + 7.26468i −0.263698 + 0.516278i
\(199\) −2.31911 + 10.1607i −0.164397 + 0.720272i 0.823774 + 0.566918i \(0.191865\pi\)
−0.988171 + 0.153354i \(0.950993\pi\)
\(200\) −3.76212 + 12.3953i −0.266022 + 0.876481i
\(201\) −11.8210 2.69807i −0.833790 0.190307i
\(202\) 14.8046 + 12.3845i 1.04165 + 0.871373i
\(203\) −17.0410 7.16426i −1.19604 0.502832i
\(204\) 7.39741 13.6820i 0.517922 0.957932i
\(205\) 4.57114 + 2.20134i 0.319262 + 0.153749i
\(206\) 11.5522 13.8096i 0.804880 0.962161i
\(207\) −1.14138 2.37010i −0.0793316 0.164734i
\(208\) 19.7085 2.59063i 1.36654 0.179628i
\(209\) 14.6334 + 30.3866i 1.01222 + 2.10189i
\(210\) 0.992100 2.21323i 0.0684614 0.152728i
\(211\) 4.19488 8.71075i 0.288787 0.599673i −0.705220 0.708989i \(-0.749152\pi\)
0.994007 + 0.109316i \(0.0348660\pi\)
\(212\) 7.55487 + 0.354210i 0.518871 + 0.0243272i
\(213\) −3.04045 + 2.42468i −0.208328 + 0.166136i
\(214\) 21.0283 15.9783i 1.43747 1.09225i
\(215\) 0.514369 0.0350797
\(216\) 2.45586 + 1.40312i 0.167100 + 0.0954701i
\(217\) −9.95348 + 5.43268i −0.675686 + 0.368795i
\(218\) −18.1496 0.425238i −1.22925 0.0288007i
\(219\) 5.25354 + 4.18956i 0.355002 + 0.283104i
\(220\) −4.93122 + 5.62184i −0.332463 + 0.379025i
\(221\) −34.8199 16.7684i −2.34224 1.12796i
\(222\) −3.11052 0.0728781i −0.208764 0.00489126i
\(223\) −0.251179 + 0.314968i −0.0168202 + 0.0210918i −0.790170 0.612887i \(-0.790008\pi\)
0.773350 + 0.633979i \(0.218579\pi\)
\(224\) −4.28987 + 14.3387i −0.286629 + 0.958042i
\(225\) 2.85546 + 3.58064i 0.190364 + 0.238709i
\(226\) −10.8265 14.2483i −0.720169 0.947782i
\(227\) −4.92391 −0.326811 −0.163406 0.986559i \(-0.552248\pi\)
−0.163406 + 0.986559i \(0.552248\pi\)
\(228\) 10.7620 4.57485i 0.712732 0.302977i
\(229\) −3.89627 + 0.889299i −0.257473 + 0.0587665i −0.349309 0.937008i \(-0.613584\pi\)
0.0918360 + 0.995774i \(0.470726\pi\)
\(230\) −0.481403 2.36301i −0.0317427 0.155812i
\(231\) −11.4329 + 10.1090i −0.752230 + 0.665123i
\(232\) 13.3759 14.5473i 0.878173 0.955075i
\(233\) 9.70399 + 12.1684i 0.635730 + 0.797180i 0.990462 0.137788i \(-0.0439993\pi\)
−0.354732 + 0.934968i \(0.615428\pi\)
\(234\) 3.19679 6.25879i 0.208980 0.409150i
\(235\) −0.262924 + 0.0600107i −0.0171513 + 0.00391466i
\(236\) 7.20498 8.21404i 0.469004 0.534688i
\(237\) −2.55863 0.583991i −0.166201 0.0379343i
\(238\) 22.2446 18.7589i 1.44190 1.21596i
\(239\) −12.9161 + 2.94802i −0.835474 + 0.190692i −0.618796 0.785552i \(-0.712379\pi\)
−0.216678 + 0.976243i \(0.569522\pi\)
\(240\) 1.86705 + 1.79922i 0.120517 + 0.116139i
\(241\) 11.9763 + 9.55076i 0.771460 + 0.615219i 0.928055 0.372444i \(-0.121480\pi\)
−0.156595 + 0.987663i \(0.550052\pi\)
\(242\) 28.6903 12.9977i 1.84428 0.835522i
\(243\) 0.900969 0.433884i 0.0577972 0.0278337i
\(244\) −8.17532 2.27359i −0.523371 0.145552i
\(245\) 3.24223 3.17447i 0.207139 0.202809i
\(246\) −8.81334 + 6.69678i −0.561918 + 0.426971i
\(247\) −12.6072 26.1792i −0.802180 1.66574i
\(248\) −1.86098 11.9788i −0.118172 0.760655i
\(249\) 3.77321 4.73145i 0.239117 0.299844i
\(250\) 3.62400 + 7.99941i 0.229202 + 0.505927i
\(251\) 0.313516 + 1.37361i 0.0197890 + 0.0867012i 0.983858 0.178950i \(-0.0572701\pi\)
−0.964069 + 0.265651i \(0.914413\pi\)
\(252\) 3.31559 + 4.12394i 0.208863 + 0.259784i
\(253\) −3.37650 + 14.7934i −0.212279 + 0.930055i
\(254\) 24.2095 4.93206i 1.51904 0.309465i
\(255\) −1.12176 4.91474i −0.0702471 0.307773i
\(256\) −12.8697 9.50631i −0.804359 0.594144i
\(257\) −18.8124 + 15.0024i −1.17349 + 0.935824i −0.998808 0.0488019i \(-0.984460\pi\)
−0.174677 + 0.984626i \(0.555888\pi\)
\(258\) −0.510449 + 0.999377i −0.0317792 + 0.0622185i
\(259\) −5.36592 2.25590i −0.333422 0.140175i
\(260\) 4.24843 4.84343i 0.263477 0.300377i
\(261\) −1.55474 6.81177i −0.0962361 0.421638i
\(262\) 2.41313 9.53707i 0.149083 0.589202i
\(263\) 16.5389i 1.01983i −0.860224 0.509917i \(-0.829676\pi\)
0.860224 0.509917i \(-0.170324\pi\)
\(264\) −6.02914 15.1600i −0.371068 0.933032i
\(265\) 1.91651 1.52836i 0.117730 0.0938866i
\(266\) 21.8693 0.599245i 1.34089 0.0367421i
\(267\) −5.45411 4.34951i −0.333786 0.266186i
\(268\) 19.6467 14.2151i 1.20012 0.868327i
\(269\) 3.64374 7.56631i 0.222163 0.461326i −0.759860 0.650086i \(-0.774733\pi\)
0.982023 + 0.188760i \(0.0604470\pi\)
\(270\) 0.898271 0.183000i 0.0546671 0.0111370i
\(271\) −10.9679 + 13.7533i −0.666252 + 0.835453i −0.994008 0.109309i \(-0.965136\pi\)
0.327756 + 0.944762i \(0.393708\pi\)
\(272\) 10.8155 + 29.1668i 0.655787 + 1.76850i
\(273\) 9.84988 8.70928i 0.596142 0.527110i
\(274\) 0.132713 0.524503i 0.00801749 0.0316864i
\(275\) 26.4172i 1.59301i
\(276\) 5.06887 + 1.40967i 0.305110 + 0.0848524i
\(277\) 17.4653 + 21.9008i 1.04939 + 1.31589i 0.947030 + 0.321145i \(0.104068\pi\)
0.102359 + 0.994747i \(0.467361\pi\)
\(278\) −1.08387 + 1.29566i −0.0650060 + 0.0777088i
\(279\) −3.86151 1.85961i −0.231183 0.111332i
\(280\) 2.01927 + 4.41058i 0.120675 + 0.263582i
\(281\) −16.1304 + 7.76799i −0.962258 + 0.463399i −0.847968 0.530048i \(-0.822174\pi\)
−0.114291 + 0.993447i \(0.536460\pi\)
\(282\) 0.144324 0.570393i 0.00859439 0.0339664i
\(283\) 22.7813 10.9709i 1.35421 0.652151i 0.390869 0.920446i \(-0.372174\pi\)
0.963337 + 0.268295i \(0.0864602\pi\)
\(284\) 0.364260 7.76923i 0.0216148 0.461019i
\(285\) 1.64449 3.41481i 0.0974110 0.202276i
\(286\) −36.9258 + 16.7286i −2.18347 + 0.989184i
\(287\) −19.9288 + 5.62759i −1.17636 + 0.332186i
\(288\) −5.34855 + 1.84201i −0.315166 + 0.108542i
\(289\) 9.67515 42.3896i 0.569127 2.49351i
\(290\) 0.150027 6.40333i 0.00880991 0.376017i
\(291\) 2.52431 + 0.576158i 0.147978 + 0.0337750i
\(292\) −13.2278 + 2.37358i −0.774099 + 0.138903i
\(293\) 17.5931i 1.02780i −0.857850 0.513900i \(-0.828200\pi\)
0.857850 0.513900i \(-0.171800\pi\)
\(294\) 2.95021 + 9.44967i 0.172060 + 0.551116i
\(295\) 3.54130i 0.206182i
\(296\) 4.21186 4.58069i 0.244809 0.266247i
\(297\) −5.62356 1.28354i −0.326312 0.0744786i
\(298\) −11.2063 0.262560i −0.649166 0.0152097i
\(299\) 2.90898 12.7451i 0.168231 0.737068i
\(300\) −9.14957 0.428977i −0.528251 0.0247670i
\(301\) −1.57279 + 1.39066i −0.0906539 + 0.0801564i
\(302\) 3.81655 + 8.42442i 0.219617 + 0.484771i
\(303\) −5.92178 + 12.2967i −0.340197 + 0.706427i
\(304\) −7.31492 + 22.2147i −0.419539 + 1.27410i
\(305\) −2.47790 + 1.19329i −0.141884 + 0.0683279i
\(306\) 10.6621 + 2.69780i 0.609514 + 0.154223i
\(307\) 0.559871 0.269620i 0.0319535 0.0153880i −0.417839 0.908521i \(-0.637212\pi\)
0.449792 + 0.893133i \(0.351498\pi\)
\(308\) −0.121143 30.5221i −0.00690279 1.73916i
\(309\) 11.4703 + 5.52379i 0.652521 + 0.314237i
\(310\) −3.01362 2.52099i −0.171162 0.143183i
\(311\) 10.8830 + 13.6468i 0.617116 + 0.773839i 0.987935 0.154866i \(-0.0494946\pi\)
−0.370820 + 0.928705i \(0.620923\pi\)
\(312\) 5.19433 + 13.0609i 0.294071 + 0.739427i
\(313\) 18.9309i 1.07004i −0.844840 0.535019i \(-0.820304\pi\)
0.844840 0.535019i \(-0.179696\pi\)
\(314\) 27.6960 + 7.00781i 1.56298 + 0.395474i
\(315\) 1.68926 + 0.296202i 0.0951790 + 0.0166891i
\(316\) 4.25249 3.07683i 0.239221 0.173085i
\(317\) 9.73163 12.2031i 0.546583 0.685393i −0.429431 0.903099i \(-0.641286\pi\)
0.976014 + 0.217706i \(0.0698574\pi\)
\(318\) 1.06758 + 5.24033i 0.0598671 + 0.293863i
\(319\) −17.4864 + 36.3108i −0.979048 + 2.03301i
\(320\) −5.16755 + 0.434305i −0.288875 + 0.0242784i
\(321\) 14.6006 + 11.6436i 0.814923 + 0.649880i
\(322\) 7.86067 + 5.92384i 0.438058 + 0.330123i
\(323\) 35.5510 28.3510i 1.97811 1.57749i
\(324\) −0.535872 + 1.92687i −0.0297707 + 0.107049i
\(325\) 22.7594i 1.26246i
\(326\) 21.5288 + 5.44736i 1.19237 + 0.301701i
\(327\) −2.85655 12.5154i −0.157968 0.692102i
\(328\) 1.55448 22.0833i 0.0858319 1.21934i
\(329\) 0.641696 0.894342i 0.0353779 0.0493067i
\(330\) −4.70911 2.40526i −0.259228 0.132405i
\(331\) 2.60154 2.07466i 0.142994 0.114034i −0.549380 0.835572i \(-0.685136\pi\)
0.692374 + 0.721539i \(0.256565\pi\)
\(332\) 2.13769 + 11.9132i 0.117321 + 0.653824i
\(333\) −0.489562 2.14491i −0.0268278 0.117540i
\(334\) 4.76507 + 23.3898i 0.260733 + 1.27983i
\(335\) 1.74894 7.66263i 0.0955551 0.418654i
\(336\) −10.5733 0.453677i −0.576820 0.0247501i
\(337\) 1.15624 + 5.06584i 0.0629846 + 0.275954i 0.996607 0.0823043i \(-0.0262280\pi\)
−0.933623 + 0.358258i \(0.883371\pi\)
\(338\) 15.0665 6.82565i 0.819512 0.371266i
\(339\) 7.88939 9.89299i 0.428493 0.537313i
\(340\) 8.86896 + 4.79515i 0.480987 + 0.260054i
\(341\) 10.7265 + 22.2739i 0.580875 + 1.20620i
\(342\) 5.00275 + 6.58389i 0.270518 + 0.356016i
\(343\) −1.33121 + 18.4724i −0.0718786 + 0.997413i
\(344\) −0.829408 2.08551i −0.0447187 0.112443i
\(345\) 1.53635 0.739868i 0.0827144 0.0398331i
\(346\) −9.01039 19.8890i −0.484402 1.06924i
\(347\) −19.2162 15.3244i −1.03158 0.822658i −0.0472307 0.998884i \(-0.515040\pi\)
−0.984350 + 0.176226i \(0.943611\pi\)
\(348\) 12.2923 + 6.64602i 0.658935 + 0.356264i
\(349\) 19.7089 4.49843i 1.05499 0.240795i 0.340360 0.940295i \(-0.389451\pi\)
0.714633 + 0.699500i \(0.246594\pi\)
\(350\) −15.6369 7.00939i −0.835829 0.374667i
\(351\) 4.84491 + 1.10582i 0.258602 + 0.0590242i
\(352\) 30.7452 + 10.9285i 1.63873 + 0.582492i
\(353\) 6.99105 1.59566i 0.372096 0.0849284i −0.0323837 0.999476i \(-0.510310\pi\)
0.404479 + 0.914547i \(0.367453\pi\)
\(354\) 6.88046 + 3.51431i 0.365692 + 0.186784i
\(355\) −1.57173 1.97088i −0.0834186 0.104604i
\(356\) 13.7328 2.46419i 0.727837 0.130602i
\(357\) 16.7176 + 11.9950i 0.884790 + 0.634842i
\(358\) −19.4593 + 3.96434i −1.02846 + 0.209522i
\(359\) −30.2292 + 6.89962i −1.59544 + 0.364148i −0.925643 0.378399i \(-0.876475\pi\)
−0.669794 + 0.742547i \(0.733618\pi\)
\(360\) −0.909530 + 1.59194i −0.0479364 + 0.0839027i
\(361\) 15.1876 0.799346
\(362\) −13.8493 + 10.5234i −0.727904 + 0.553095i
\(363\) 13.8863 + 17.4129i 0.728842 + 0.913938i
\(364\) 0.104370 + 26.2959i 0.00547046 + 1.37828i
\(365\) −2.71576 + 3.40546i −0.142149 + 0.178250i
\(366\) 0.140544 5.99856i 0.00734634 0.313550i
\(367\) −11.0667 5.32946i −0.577679 0.278196i 0.122143 0.992512i \(-0.461023\pi\)
−0.699822 + 0.714317i \(0.746738\pi\)
\(368\) −8.80455 + 5.76214i −0.458969 + 0.300372i
\(369\) −6.11934 4.88001i −0.318560 0.254043i
\(370\) 0.0472411 2.01630i 0.00245595 0.104823i
\(371\) −1.72798 + 9.85479i −0.0897124 + 0.511635i
\(372\) 7.88873 3.35343i 0.409012 0.173867i
\(373\) −22.2904 −1.15415 −0.577077 0.816690i \(-0.695807\pi\)
−0.577077 + 0.816690i \(0.695807\pi\)
\(374\) −38.3812 50.5117i −1.98464 2.61190i
\(375\) −4.85504 + 3.87177i −0.250713 + 0.199937i
\(376\) 0.667272 + 0.969257i 0.0344119 + 0.0499856i
\(377\) 15.0651 31.2831i 0.775895 1.61116i
\(378\) −2.25188 + 2.98815i −0.115824 + 0.153694i
\(379\) −14.5250 30.1616i −0.746101 1.54930i −0.833122 0.553089i \(-0.813449\pi\)
0.0870213 0.996206i \(-0.472265\pi\)
\(380\) 2.96551 + 6.97617i 0.152127 + 0.357870i
\(381\) 7.58008 + 15.7402i 0.388340 + 0.806395i
\(382\) 8.85199 + 7.40499i 0.452907 + 0.378872i
\(383\) 17.5251 + 8.43963i 0.895489 + 0.431245i 0.824258 0.566215i \(-0.191593\pi\)
0.0712317 + 0.997460i \(0.477307\pi\)
\(384\) 4.28435 10.4711i 0.218635 0.534352i
\(385\) −6.55286 7.41105i −0.333965 0.377702i
\(386\) −9.41502 + 11.2548i −0.479212 + 0.572855i
\(387\) −0.773614 0.176572i −0.0393250 0.00897568i
\(388\) −4.19545 + 3.03556i −0.212992 + 0.154107i
\(389\) 0.709906 3.11030i 0.0359937 0.157699i −0.953737 0.300641i \(-0.902799\pi\)
0.989731 + 0.142943i \(0.0456565\pi\)
\(390\) 4.05708 + 2.07222i 0.205438 + 0.104931i
\(391\) 20.4580 1.03460
\(392\) −18.0989 8.02686i −0.914132 0.405418i
\(393\) 6.95625 0.350896
\(394\) −5.21235 2.66230i −0.262594 0.134125i
\(395\) 0.378555 1.65856i 0.0190472 0.0834512i
\(396\) 9.34645 6.76250i 0.469677 0.339828i
\(397\) −15.2654 3.48422i −0.766148 0.174868i −0.178450 0.983949i \(-0.557108\pi\)
−0.587698 + 0.809081i \(0.699965\pi\)
\(398\) 9.45696 11.3049i 0.474034 0.566665i
\(399\) 4.20402 + 14.8876i 0.210464 + 0.745310i
\(400\) 12.7118 13.1911i 0.635592 0.659553i
\(401\) −19.3630 9.32472i −0.966941 0.465654i −0.117347 0.993091i \(-0.537439\pi\)
−0.849594 + 0.527437i \(0.823153\pi\)
\(402\) 13.1522 + 11.0023i 0.655974 + 0.548744i
\(403\) −9.24131 19.1898i −0.460343 0.955911i
\(404\) −10.6788 25.1211i −0.531289 1.24982i
\(405\) 0.281252 + 0.584027i 0.0139755 + 0.0290205i
\(406\) 16.8535 + 19.9851i 0.836424 + 0.991843i
\(407\) −5.50616 + 11.4337i −0.272930 + 0.566746i
\(408\) −18.1180 + 12.4731i −0.896973 + 0.617508i
\(409\) −13.8562 + 11.0500i −0.685147 + 0.546386i −0.903024 0.429590i \(-0.858658\pi\)
0.217878 + 0.975976i \(0.430087\pi\)
\(410\) −4.34099 5.71299i −0.214386 0.282144i
\(411\) 0.382568 0.0188707
\(412\) −23.4328 + 9.96107i −1.15445 + 0.490747i
\(413\) 9.57435 + 10.8282i 0.471123 + 0.532823i
\(414\) −0.0871401 + 3.71923i −0.00428270 + 0.182790i
\(415\) 3.06703 + 2.44587i 0.150554 + 0.120063i
\(416\) −26.4881 9.41533i −1.29869 0.461625i
\(417\) −1.07618 0.518261i −0.0527007 0.0253793i
\(418\) 1.11721 47.6836i 0.0546443 2.33228i
\(419\) 7.31093 9.16761i 0.357162 0.447867i −0.570495 0.821301i \(-0.693248\pi\)
0.927657 + 0.373434i \(0.121820\pi\)
\(420\) −2.67322 + 2.14924i −0.130440 + 0.104872i
\(421\) −18.3560 23.0177i −0.894619 1.12182i −0.991958 0.126565i \(-0.959605\pi\)
0.0973396 0.995251i \(-0.468967\pi\)
\(422\) −10.8867 + 8.27219i −0.529954 + 0.402684i
\(423\) 0.416040 0.0202285
\(424\) −9.28706 5.30601i −0.451019 0.257683i
\(425\) −34.7236 + 7.92544i −1.68434 + 0.384440i
\(426\) 5.38902 1.09787i 0.261099 0.0531922i
\(427\) 4.35046 10.3481i 0.210534 0.500778i
\(428\) −36.7625 + 6.59660i −1.77698 + 0.318859i
\(429\) −17.8723 22.4112i −0.862884 1.08202i
\(430\) −0.647817 0.330884i −0.0312405 0.0159566i
\(431\) −24.8721 + 5.67689i −1.19805 + 0.273446i −0.774586 0.632469i \(-0.782042\pi\)
−0.423460 + 0.905915i \(0.639184\pi\)
\(432\) −2.19041 3.34695i −0.105386 0.161030i
\(433\) −29.7232 6.78412i −1.42840 0.326024i −0.562734 0.826638i \(-0.690250\pi\)
−0.865670 + 0.500614i \(0.833107\pi\)
\(434\) 16.0306 0.439256i 0.769491 0.0210850i
\(435\) 4.41553 1.00782i 0.211708 0.0483211i
\(436\) 22.5848 + 12.2109i 1.08162 + 0.584794i
\(437\) 12.0256 + 9.59006i 0.575260 + 0.458755i
\(438\) −3.92146 8.65601i −0.187375 0.413600i
\(439\) 9.61857 4.63206i 0.459069 0.221076i −0.190032 0.981778i \(-0.560859\pi\)
0.649102 + 0.760702i \(0.275145\pi\)
\(440\) 9.82701 3.90821i 0.468484 0.186317i
\(441\) −5.96607 + 3.66143i −0.284098 + 0.174354i
\(442\) 33.0668 + 43.5178i 1.57283 + 2.06993i
\(443\) 5.25825 + 10.9189i 0.249827 + 0.518771i 0.987737 0.156128i \(-0.0499013\pi\)
−0.737910 + 0.674899i \(0.764187\pi\)
\(444\) 3.87063 + 2.09272i 0.183692 + 0.0993162i
\(445\) 2.81944 3.53547i 0.133654 0.167597i
\(446\) 0.518958 0.235105i 0.0245734 0.0111326i
\(447\) −1.76376 7.72753i −0.0834229 0.365499i
\(448\) 14.6266 15.2991i 0.691043 0.722814i
\(449\) −5.00245 + 21.9172i −0.236080 + 1.03434i 0.708411 + 0.705800i \(0.249412\pi\)
−0.944492 + 0.328536i \(0.893445\pi\)
\(450\) −1.29293 6.34647i −0.0609493 0.299175i
\(451\) 10.0462 + 44.0152i 0.473057 + 2.07260i
\(452\) 4.46970 + 24.9094i 0.210237 + 1.17164i
\(453\) −5.11299 + 4.07747i −0.240229 + 0.191576i
\(454\) 6.20137 + 3.16746i 0.291045 + 0.148656i
\(455\) 5.64554 + 6.38489i 0.264667 + 0.299328i
\(456\) −16.4970 1.16126i −0.772544 0.0543808i
\(457\) −1.45952 6.39456i −0.0682733 0.299125i 0.929251 0.369449i \(-0.120454\pi\)
−0.997524 + 0.0703245i \(0.977597\pi\)
\(458\) 5.47919 + 1.38638i 0.256026 + 0.0647812i
\(459\) 7.77687i 0.362993i
\(460\) −0.913780 + 3.28575i −0.0426052 + 0.153199i
\(461\) 13.0671 10.4207i 0.608596 0.485339i −0.270029 0.962852i \(-0.587033\pi\)
0.878624 + 0.477513i \(0.158462\pi\)
\(462\) 20.9020 5.37711i 0.972449 0.250166i
\(463\) −7.33745 5.85142i −0.341000 0.271939i 0.437983 0.898983i \(-0.355693\pi\)
−0.778983 + 0.627044i \(0.784264\pi\)
\(464\) −26.2042 + 9.71694i −1.21650 + 0.451098i
\(465\) 1.20544 2.50311i 0.0559007 0.116079i
\(466\) −4.39389 21.5678i −0.203543 0.999109i
\(467\) 8.22180 10.3098i 0.380460 0.477081i −0.554323 0.832302i \(-0.687023\pi\)
0.934783 + 0.355220i \(0.115594\pi\)
\(468\) −8.05232 + 5.82614i −0.372219 + 0.269314i
\(469\) 15.3691 + 28.1585i 0.709680 + 1.30024i
\(470\) 0.369741 + 0.0935541i 0.0170549 + 0.00431533i
\(471\) 20.2012i 0.930823i
\(472\) −14.3582 + 5.71026i −0.660889 + 0.262836i
\(473\) 2.85378 + 3.57852i 0.131217 + 0.164541i
\(474\) 2.84678 + 2.38142i 0.130757 + 0.109382i
\(475\) −24.1263 11.6186i −1.10699 0.533099i
\(476\) −40.0829 + 9.31620i −1.83720 + 0.427007i
\(477\) −3.40709 + 1.64077i −0.156000 + 0.0751257i
\(478\) 18.1635 + 4.59584i 0.830778 + 0.210209i
\(479\) −7.47379 + 3.59919i −0.341486 + 0.164451i −0.596764 0.802417i \(-0.703547\pi\)
0.255278 + 0.966868i \(0.417833\pi\)
\(480\) −1.19403 3.46704i −0.0544998 0.158248i
\(481\) 4.74376 9.85053i 0.216297 0.449145i
\(482\) −8.93958 19.7327i −0.407187 0.898801i
\(483\) −2.69738 + 6.41601i −0.122735 + 0.291939i
\(484\) −44.4949 2.08614i −2.02250 0.0948245i
\(485\) −0.373478 + 1.63631i −0.0169587 + 0.0743011i
\(486\) −1.41383 0.0331253i −0.0641324 0.00150260i
\(487\) 11.1096 + 2.53569i 0.503423 + 0.114903i 0.466688 0.884422i \(-0.345447\pi\)
0.0367350 + 0.999325i \(0.488304\pi\)
\(488\) 8.83377 + 8.12248i 0.399886 + 0.367687i
\(489\) 15.7029i 0.710112i
\(490\) −6.12547 + 1.91239i −0.276721 + 0.0863928i
\(491\) 4.93843i 0.222868i 0.993772 + 0.111434i \(0.0355444\pi\)
−0.993772 + 0.111434i \(0.964456\pi\)
\(492\) 15.4078 2.76475i 0.694636 0.124644i
\(493\) 52.9742 + 12.0910i 2.38584 + 0.544552i
\(494\) −0.962514 + 41.0812i −0.0433056 + 1.84833i
\(495\) 0.832018 3.64531i 0.0373964 0.163844i
\(496\) −5.36195 + 16.2837i −0.240759 + 0.731161i
\(497\) 10.1344 + 1.77701i 0.454590 + 0.0797099i
\(498\) −7.79578 + 3.53175i −0.349337 + 0.158262i
\(499\) −11.5477 + 23.9790i −0.516945 + 1.07345i 0.465180 + 0.885216i \(0.345990\pi\)
−0.982125 + 0.188231i \(0.939725\pi\)
\(500\) 0.581656 12.4060i 0.0260124 0.554815i
\(501\) −15.2073 + 7.32343i −0.679410 + 0.327187i
\(502\) 0.488759 1.93165i 0.0218144 0.0862139i
\(503\) −10.0917 + 4.85989i −0.449965 + 0.216692i −0.645121 0.764080i \(-0.723193\pi\)
0.195156 + 0.980772i \(0.437479\pi\)
\(504\) −1.52294 7.32671i −0.0678372 0.326358i
\(505\) −7.97098 3.83862i −0.354704 0.170816i
\(506\) 13.7688 16.4594i 0.612100 0.731710i
\(507\) 7.29230 + 9.14426i 0.323863 + 0.406111i
\(508\) −33.6631 9.36185i −1.49356 0.415365i
\(509\) 12.1086i 0.536704i −0.963321 0.268352i \(-0.913521\pi\)
0.963321 0.268352i \(-0.0864790\pi\)
\(510\) −1.74877 + 6.91142i −0.0774369 + 0.306043i
\(511\) −0.903093 17.7553i −0.0399505 0.785447i
\(512\) 10.0934 + 20.2515i 0.446071 + 0.894997i
\(513\) −3.64555 + 4.57138i −0.160955 + 0.201831i
\(514\) 33.3439 6.79296i 1.47073 0.299625i
\(515\) −3.58064 + 7.43527i −0.157782 + 0.327637i
\(516\) 1.28576 0.930294i 0.0566024 0.0409539i
\(517\) −1.87623 1.49624i −0.0825166 0.0658048i
\(518\) 5.30688 + 6.29297i 0.233171 + 0.276497i
\(519\) 12.0711 9.62641i 0.529864 0.422552i
\(520\) −8.46633 + 3.36707i −0.371273 + 0.147656i
\(521\) 18.5169i 0.811242i −0.914041 0.405621i \(-0.867055\pi\)
0.914041 0.405621i \(-0.132945\pi\)
\(522\) −2.42377 + 9.57915i −0.106086 + 0.419268i
\(523\) 1.17420 + 5.14449i 0.0513440 + 0.224953i 0.994090 0.108559i \(-0.0346236\pi\)
−0.942746 + 0.333511i \(0.891766\pi\)
\(524\) −9.17420 + 10.4590i −0.400777 + 0.456906i
\(525\) 2.09273 11.9350i 0.0913341 0.520884i
\(526\) −10.6392 + 20.8298i −0.463890 + 0.908222i
\(527\) 26.0595 20.7817i 1.13517 0.905267i
\(528\) −2.15878 + 22.9715i −0.0939488 + 0.999706i
\(529\) −3.57810 15.6767i −0.155570 0.681595i
\(530\) −3.39689 + 0.692030i −0.147552 + 0.0300599i
\(531\) −1.21566 + 5.32614i −0.0527550 + 0.231135i
\(532\) −27.9286 13.3134i −1.21086 0.577209i
\(533\) −8.65517 37.9208i −0.374897 1.64253i
\(534\) 4.07117 + 8.98647i 0.176177 + 0.388883i
\(535\) −7.54759 + 9.46438i −0.326311 + 0.409181i
\(536\) −33.8882 + 5.26472i −1.46375 + 0.227401i
\(537\) −6.09279 12.6518i −0.262923 0.545966i
\(538\) −9.45634 + 7.18537i −0.407692 + 0.309783i
\(539\) 40.0734 + 4.94428i 1.72608 + 0.212965i
\(540\) −1.24904 0.347363i −0.0537501 0.0149481i
\(541\) −26.9053 + 12.9569i −1.15675 + 0.557061i −0.911054 0.412286i \(-0.864730\pi\)
−0.245695 + 0.969347i \(0.579016\pi\)
\(542\) 22.6606 10.2660i 0.973358 0.440964i
\(543\) −9.61596 7.66847i −0.412660 0.329086i
\(544\) 5.14093 43.6912i 0.220415 1.87325i
\(545\) 8.11273 1.85168i 0.347511 0.0793171i
\(546\) −18.0078 + 4.63258i −0.770665 + 0.198256i
\(547\) −2.98391 0.681058i −0.127583 0.0291199i 0.158253 0.987399i \(-0.449414\pi\)
−0.285835 + 0.958279i \(0.592271\pi\)
\(548\) −0.504547 + 0.575209i −0.0215532 + 0.0245717i
\(549\) 4.13641 0.944109i 0.176538 0.0402936i
\(550\) −16.9937 + 33.2708i −0.724612 + 1.41867i
\(551\) 25.4713 + 31.9400i 1.08511 + 1.36069i
\(552\) −5.47712 5.03611i −0.233122 0.214351i
\(553\) 3.32661 + 6.09485i 0.141462 + 0.259179i
\(554\) −7.90815 38.8179i −0.335985 1.64921i
\(555\) 1.39038 0.317344i 0.0590182 0.0134705i
\(556\) 2.19854 0.934582i 0.0932389 0.0396351i
\(557\) −9.97224 −0.422537 −0.211269 0.977428i \(-0.567760\pi\)
−0.211269 + 0.977428i \(0.567760\pi\)
\(558\) 3.66709 + 4.82610i 0.155240 + 0.204305i
\(559\) −2.45863 3.08303i −0.103989 0.130398i
\(560\) 0.294083 6.85382i 0.0124273 0.289627i
\(561\) 27.9688 35.0717i 1.18084 1.48073i
\(562\) 25.3123 + 0.593056i 1.06773 + 0.0250165i
\(563\) 3.24935 + 1.56481i 0.136944 + 0.0659487i 0.501101 0.865389i \(-0.332929\pi\)
−0.364157 + 0.931338i \(0.618643\pi\)
\(564\) −0.548691 + 0.625535i −0.0231041 + 0.0263398i
\(565\) 6.41284 + 5.11407i 0.269790 + 0.215150i
\(566\) −35.7490 0.837584i −1.50264 0.0352063i
\(567\) −2.43898 1.02538i −0.102427 0.0430618i
\(568\) −5.45656 + 9.55056i −0.228952 + 0.400733i
\(569\) 0.861680 0.0361235 0.0180617 0.999837i \(-0.494250\pi\)
0.0180617 + 0.999837i \(0.494250\pi\)
\(570\) −4.26782 + 3.24289i −0.178759 + 0.135830i
\(571\) 19.7260 15.7309i 0.825505 0.658319i −0.116769 0.993159i \(-0.537254\pi\)
0.942275 + 0.334841i \(0.108682\pi\)
\(572\) 57.2670 + 2.68496i 2.39446 + 0.112264i
\(573\) −3.54076 + 7.35247i −0.147917 + 0.307154i
\(574\) 28.7192 + 5.73219i 1.19872 + 0.239257i
\(575\) −5.22731 10.8546i −0.217994 0.452669i
\(576\) 7.92111 + 1.12072i 0.330046 + 0.0466965i
\(577\) −2.14458 4.45327i −0.0892801 0.185392i 0.851548 0.524277i \(-0.175664\pi\)
−0.940828 + 0.338885i \(0.889950\pi\)
\(578\) −39.4537 + 47.1633i −1.64106 + 1.96174i
\(579\) −9.34825 4.50188i −0.388500 0.187092i
\(580\) −4.30809 + 7.96810i −0.178884 + 0.330858i
\(581\) −15.9908 + 0.813345i −0.663409 + 0.0337432i
\(582\) −2.80859 2.34948i −0.116420 0.0973891i
\(583\) 21.2660 + 4.85382i 0.880747 + 0.201025i
\(584\) 18.1865 + 5.51982i 0.752563 + 0.228412i
\(585\) −0.716814 + 3.14057i −0.0296366 + 0.129847i
\(586\) −11.3173 + 22.1574i −0.467513 + 0.915316i
\(587\) −17.4203 −0.719013 −0.359507 0.933143i \(-0.617055\pi\)
−0.359507 + 0.933143i \(0.617055\pi\)
\(588\) 2.36318 13.7991i 0.0974560 0.569066i
\(589\) 25.0600 1.03258
\(590\) −2.27805 + 4.46006i −0.0937858 + 0.183618i
\(591\) 0.920930 4.03486i 0.0378820 0.165972i
\(592\) −8.25126 + 3.05970i −0.339125 + 0.125753i
\(593\) 0.721158 + 0.164600i 0.0296144 + 0.00675930i 0.237302 0.971436i \(-0.423737\pi\)
−0.207688 + 0.978195i \(0.566594\pi\)
\(594\) 6.25686 + 5.23407i 0.256722 + 0.214757i
\(595\) −7.77540 + 10.8367i −0.318760 + 0.444261i
\(596\) 13.9448 + 7.53950i 0.571202 + 0.308830i
\(597\) 9.38989 + 4.52193i 0.384303 + 0.185070i
\(598\) −11.8624 + 14.1804i −0.485088 + 0.579879i
\(599\) 8.79380 + 18.2605i 0.359305 + 0.746105i 0.999760 0.0218908i \(-0.00696861\pi\)
−0.640455 + 0.767995i \(0.721254\pi\)
\(600\) 11.2474 + 6.42601i 0.459172 + 0.262341i
\(601\) −1.75731 3.64910i −0.0716824 0.148850i 0.862048 0.506826i \(-0.169181\pi\)
−0.933731 + 0.357976i \(0.883467\pi\)
\(602\) 2.87542 0.739711i 0.117193 0.0301484i
\(603\) −5.26085 + 10.9243i −0.214238 + 0.444870i
\(604\) 0.612559 13.0652i 0.0249247 0.531614i
\(605\) −11.2874 + 9.00139i −0.458897 + 0.365958i
\(606\) 15.3684 11.6776i 0.624297 0.474370i
\(607\) 7.21238 0.292742 0.146371 0.989230i \(-0.453241\pi\)
0.146371 + 0.989230i \(0.453241\pi\)
\(608\) 23.5030 23.2725i 0.953172 0.943826i
\(609\) −10.7766 + 15.0195i −0.436690 + 0.608622i
\(610\) 3.88839 + 0.0911034i 0.157436 + 0.00368867i
\(611\) 1.61644 + 1.28907i 0.0653943 + 0.0521502i
\(612\) −11.6929 10.2565i −0.472657 0.414593i
\(613\) 1.50105 + 0.722869i 0.0606269 + 0.0291964i 0.463952 0.885861i \(-0.346431\pi\)
−0.403325 + 0.915057i \(0.632145\pi\)
\(614\) −0.878566 0.0205844i −0.0354560 0.000830720i
\(615\) 3.16333 3.96669i 0.127558 0.159952i
\(616\) −19.4817 + 38.5187i −0.784940 + 1.55196i
\(617\) 21.2565 + 26.6548i 0.855755 + 1.07308i 0.996546 + 0.0830432i \(0.0264639\pi\)
−0.140791 + 0.990039i \(0.544965\pi\)
\(618\) −10.8928 14.3355i −0.438171 0.576658i
\(619\) −8.35200 −0.335695 −0.167848 0.985813i \(-0.553682\pi\)
−0.167848 + 0.985813i \(0.553682\pi\)
\(620\) 2.17377 + 5.11364i 0.0873005 + 0.205369i
\(621\) −2.56466 + 0.585368i −0.102916 + 0.0234900i
\(622\) −4.92771 24.1881i −0.197583 0.969855i
\(623\) 0.937571 + 18.4331i 0.0375630 + 0.738507i
\(624\) 1.85987 19.7908i 0.0744543 0.792266i
\(625\) 11.7676 + 14.7561i 0.470703 + 0.590242i
\(626\) −12.1779 + 23.8424i −0.486727 + 0.952932i
\(627\) 32.8810 7.50488i 1.31314 0.299716i
\(628\) −30.3735 26.6422i −1.21203 1.06314i
\(629\) 16.6807 + 3.80726i 0.665103 + 0.151805i
\(630\) −1.93698 1.45972i −0.0771711 0.0581565i
\(631\) 24.0079 5.47965i 0.955739 0.218141i 0.283913 0.958850i \(-0.408367\pi\)
0.671826 + 0.740709i \(0.265510\pi\)
\(632\) −7.33503 + 1.13954i −0.291772 + 0.0453284i
\(633\) −7.55891 6.02803i −0.300440 0.239593i
\(634\) −20.1064 + 9.10888i −0.798528 + 0.361760i
\(635\) −10.2031 + 4.91357i −0.404899 + 0.194989i
\(636\) 2.02645 7.28664i 0.0803538 0.288934i
\(637\) −34.5247 4.25968i −1.36792 0.168775i
\(638\) 45.3811 34.4826i 1.79665 1.36518i
\(639\) 1.68732 + 3.50376i 0.0667495 + 0.138607i
\(640\) 6.78760 + 2.77720i 0.268303 + 0.109779i
\(641\) −16.8360 + 21.1117i −0.664983 + 0.833862i −0.993876 0.110505i \(-0.964753\pi\)
0.328893 + 0.944367i \(0.393325\pi\)
\(642\) −10.8984 24.0566i −0.430128 0.949439i
\(643\) −6.67320 29.2372i −0.263165 1.15300i −0.917796 0.397053i \(-0.870033\pi\)
0.654631 0.755949i \(-0.272824\pi\)
\(644\) −6.08936 12.5173i −0.239954 0.493252i
\(645\) 0.114458 0.501473i 0.00450677 0.0197455i
\(646\) −63.0121 + 12.8371i −2.47918 + 0.505069i
\(647\) −2.29370 10.0494i −0.0901746 0.395081i 0.909618 0.415446i \(-0.136374\pi\)
−0.999793 + 0.0203648i \(0.993517\pi\)
\(648\) 1.91442 2.08207i 0.0752055 0.0817913i
\(649\) 24.6372 19.6475i 0.967095 0.771233i
\(650\) 14.6407 28.6641i 0.574254 1.12430i
\(651\) 3.08162 + 10.9128i 0.120778 + 0.427707i
\(652\) −23.6101 20.7097i −0.924643 0.811055i
\(653\) 5.83949 + 25.5845i 0.228517 + 1.00120i 0.950850 + 0.309653i \(0.100213\pi\)
−0.722333 + 0.691546i \(0.756930\pi\)
\(654\) −4.45324 + 17.5999i −0.174136 + 0.688212i
\(655\) 4.50919i 0.176188i
\(656\) −16.1635 + 26.8126i −0.631079 + 1.04686i
\(657\) 5.25354 4.18956i 0.204960 0.163450i
\(658\) −1.38349 + 0.713580i −0.0539341 + 0.0278182i
\(659\) 38.7376 + 30.8922i 1.50900 + 1.20339i 0.917911 + 0.396787i \(0.129875\pi\)
0.591093 + 0.806604i \(0.298697\pi\)
\(660\) 4.38359 + 6.05857i 0.170631 + 0.235829i
\(661\) 16.8068 34.8997i 0.653710 1.35744i −0.265667 0.964065i \(-0.585592\pi\)
0.919377 0.393378i \(-0.128694\pi\)
\(662\) −4.61107 + 0.939389i −0.179214 + 0.0365104i
\(663\) −24.0961 + 30.2156i −0.935816 + 1.17348i
\(664\) 4.97126 16.3792i 0.192922 0.635634i
\(665\) −9.65042 + 2.72514i −0.374227 + 0.105676i
\(666\) −0.763206 + 3.01631i −0.0295736 + 0.116880i
\(667\) 18.3800i 0.711676i
\(668\) 9.04487 32.5233i 0.349957 1.25836i
\(669\) 0.251179 + 0.314968i 0.00971113 + 0.0121774i
\(670\) −7.13191 + 8.52556i −0.275530 + 0.329371i
\(671\) −22.0496 10.6185i −0.851214 0.409923i
\(672\) 13.0246 + 7.37296i 0.502434 + 0.284418i
\(673\) −14.5208 + 6.99284i −0.559735 + 0.269554i −0.692287 0.721622i \(-0.743397\pi\)
0.132553 + 0.991176i \(0.457683\pi\)
\(674\) 1.80253 7.12391i 0.0694311 0.274403i
\(675\) 4.12627 1.98711i 0.158820 0.0764837i
\(676\) −23.3662 1.09552i −0.898701 0.0421355i
\(677\) −16.2403 + 33.7234i −0.624166 + 1.29609i 0.313840 + 0.949476i \(0.398384\pi\)
−0.938006 + 0.346619i \(0.887330\pi\)
\(678\) −16.3002 + 7.38453i −0.626005 + 0.283601i
\(679\) −3.28199 6.01310i −0.125951 0.230762i
\(680\) −8.08530 11.7444i −0.310057 0.450379i
\(681\) −1.09567 + 4.80046i −0.0419863 + 0.183954i
\(682\) 0.818930 34.9528i 0.0313584 1.33841i
\(683\) −15.9739 3.64594i −0.611225 0.139508i −0.0943072 0.995543i \(-0.530064\pi\)
−0.516918 + 0.856035i \(0.672921\pi\)
\(684\) −2.06537 11.5102i −0.0789714 0.440103i
\(685\) 0.247988i 0.00947515i
\(686\) 13.5595 22.4085i 0.517704 0.855560i
\(687\) 3.99647i 0.152475i
\(688\) −0.296976 + 3.16011i −0.0113221 + 0.120478i
\(689\) −18.3214 4.18175i −0.697991 0.159312i
\(690\) −2.41089 0.0564860i −0.0917808 0.00215039i
\(691\) 3.97097 17.3979i 0.151063 0.661849i −0.841515 0.540234i \(-0.818336\pi\)
0.992577 0.121615i \(-0.0388073\pi\)
\(692\) −1.44618 + 30.8452i −0.0549754 + 1.17256i
\(693\) 7.31148 + 13.3957i 0.277740 + 0.508861i
\(694\) 14.3438 + 31.6616i 0.544482 + 1.20186i
\(695\) 0.335947 0.697602i 0.0127432 0.0264615i
\(696\) −11.2061 16.2777i −0.424767 0.617003i
\(697\) 54.8411 26.4101i 2.07726 1.00035i
\(698\) −27.7159 7.01286i −1.04906 0.265441i
\(699\) 14.0227 6.75296i 0.530386 0.255421i
\(700\) 15.1848 + 18.8868i 0.573931 + 0.713856i
\(701\) −4.56261 2.19724i −0.172328 0.0829886i 0.345731 0.938334i \(-0.387631\pi\)
−0.518059 + 0.855345i \(0.673345\pi\)
\(702\) −5.39052 4.50935i −0.203452 0.170194i
\(703\) 8.02048 + 10.0574i 0.302498 + 0.379321i
\(704\) −31.6916 33.5416i −1.19442 1.26415i
\(705\) 0.269685i 0.0101569i
\(706\) −9.83126 2.48757i −0.370004 0.0936208i
\(707\) 34.7510 9.81318i 1.30695 0.369063i
\(708\) −6.40484 8.85213i −0.240708 0.332683i
\(709\) −11.0506 + 13.8570i −0.415015 + 0.520412i −0.944768 0.327740i \(-0.893713\pi\)
0.529753 + 0.848152i \(0.322285\pi\)
\(710\) 0.711665 + 3.49327i 0.0267083 + 0.131100i
\(711\) −1.13870 + 2.36453i −0.0427045 + 0.0886769i
\(712\) −18.8808 5.73055i −0.707588 0.214761i
\(713\) 8.81492 + 7.02966i 0.330121 + 0.263263i
\(714\) −13.3387 25.8611i −0.499188 0.967827i
\(715\) 14.5274 11.5852i 0.543294 0.433262i
\(716\) 27.0580 + 7.52496i 1.01121 + 0.281221i
\(717\) 13.2483i 0.494766i
\(718\) 42.5103 + 10.7562i 1.58647 + 0.401418i
\(719\) −9.77167 42.8125i −0.364422 1.59664i −0.741829 0.670589i \(-0.766042\pi\)
0.377407 0.926047i \(-0.376816\pi\)
\(720\) 2.16956 1.41987i 0.0808549 0.0529155i
\(721\) −9.15366 32.4155i −0.340900 1.20722i
\(722\) −19.1278 9.76987i −0.711865 0.363597i
\(723\) 11.9763 9.55076i 0.445403 0.355197i
\(724\) 24.2119 4.34454i 0.899827 0.161463i
\(725\) −7.12042 31.1966i −0.264446 1.15861i
\(726\) −6.28760 30.8633i −0.233355 1.14544i
\(727\) 8.96489 39.2777i 0.332489 1.45673i −0.481805 0.876279i \(-0.660019\pi\)
0.814294 0.580452i \(-0.197124\pi\)
\(728\) 16.7842 33.1853i 0.622064 1.22993i
\(729\) −0.222521 0.974928i −0.00824152 0.0361084i
\(730\) 5.61100 2.54197i 0.207673 0.0940826i
\(731\) 3.84757 4.82470i 0.142307 0.178448i
\(732\) −4.03577 + 7.46442i −0.149166 + 0.275893i
\(733\) −5.86717 12.1833i −0.216709 0.450001i 0.764067 0.645137i \(-0.223200\pi\)
−0.980776 + 0.195136i \(0.937485\pi\)
\(734\) 10.5096 + 13.8312i 0.387915 + 0.510517i
\(735\) −2.37341 3.86733i −0.0875446 0.142649i
\(736\) 14.7955 1.59327i 0.545369 0.0587288i
\(737\) 63.0131 30.3455i 2.32112 1.11779i
\(738\) 4.56773 + 10.0825i 0.168140 + 0.371143i
\(739\) −3.59382 2.86597i −0.132201 0.105427i 0.555157 0.831745i \(-0.312658\pi\)
−0.687358 + 0.726319i \(0.741230\pi\)
\(740\) −1.35655 + 2.50902i −0.0498676 + 0.0922335i
\(741\) −28.3282 + 6.46573i −1.04066 + 0.237525i
\(742\) 8.51569 11.2999i 0.312621 0.414834i
\(743\) 21.7133 + 4.95591i 0.796582 + 0.181815i 0.601395 0.798952i \(-0.294612\pi\)
0.195186 + 0.980766i \(0.437469\pi\)
\(744\) −12.0926 0.851219i −0.443336 0.0312072i
\(745\) 5.00914 1.14330i 0.183521 0.0418874i
\(746\) 28.0734 + 14.3390i 1.02784 + 0.524988i
\(747\) −3.77321 4.73145i −0.138054 0.173115i
\(748\) 15.8456 + 88.3064i 0.579371 + 3.22880i
\(749\) −2.50986 49.3451i −0.0917083 1.80303i
\(750\) 8.60527 1.75310i 0.314220 0.0640143i
\(751\) −40.1406 + 9.16182i −1.46475 + 0.334320i −0.879253 0.476355i \(-0.841958\pi\)
−0.585497 + 0.810675i \(0.699101\pi\)
\(752\) −0.216884 1.64996i −0.00790894 0.0601680i
\(753\) 1.40893 0.0513443
\(754\) −39.0975 + 29.7081i −1.42385 + 1.08190i
\(755\) −2.64310 3.31435i −0.0961924 0.120621i
\(756\) 4.75833 2.31480i 0.173059 0.0841885i
\(757\) 26.3752 33.0735i 0.958625 1.20208i −0.0207006 0.999786i \(-0.506590\pi\)
0.979325 0.202292i \(-0.0648389\pi\)
\(758\) −1.10893 + 47.3304i −0.0402782 + 1.71912i
\(759\) 13.6712 + 6.58370i 0.496233 + 0.238973i
\(760\) 0.752750 10.6937i 0.0273051 0.387902i
\(761\) 22.9046 + 18.2658i 0.830292 + 0.662136i 0.943477 0.331438i \(-0.107534\pi\)
−0.113185 + 0.993574i \(0.536105\pi\)
\(762\) 0.578710 24.7000i 0.0209645 0.894786i
\(763\) −19.8001 + 27.5956i −0.716810 + 0.999030i
\(764\) −6.38507 15.0205i −0.231004 0.543421i
\(765\) −5.04113 −0.182262
\(766\) −16.6427 21.9028i −0.601326 0.791379i
\(767\) −21.2259 + 16.9271i −0.766422 + 0.611201i
\(768\) −12.1318 + 10.4317i −0.437767 + 0.376422i
\(769\) −4.26600 + 8.85844i −0.153836 + 0.319443i −0.963616 0.267290i \(-0.913872\pi\)
0.809780 + 0.586733i \(0.199586\pi\)
\(770\) 3.48555 + 13.5491i 0.125611 + 0.488276i
\(771\) 10.4401 + 21.6791i 0.375991 + 0.780753i
\(772\) 19.0977 8.11826i 0.687340 0.292182i
\(773\) −5.01566 10.4151i −0.180401 0.374606i