Properties

Label 144.2.u.a.83.22
Level $144$
Weight $2$
Character 144.83
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.u (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(88\)
Relative dimension: \(22\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 83.22
Character \(\chi\) \(=\) 144.83
Dual form 144.2.u.a.59.22

$q$-expansion

\(f(q)\) \(=\) \(q+(1.41416 + 0.0121383i) q^{2} +(-1.32549 - 1.11494i) q^{3} +(1.99971 + 0.0343310i) q^{4} +(0.323102 - 1.20583i) q^{5} +(-1.86092 - 1.59279i) q^{6} +(0.140266 - 0.242948i) q^{7} +(2.82749 + 0.0728225i) q^{8} +(0.513832 + 2.95567i) q^{9} +O(q^{10})\) \(q+(1.41416 + 0.0121383i) q^{2} +(-1.32549 - 1.11494i) q^{3} +(1.99971 + 0.0343310i) q^{4} +(0.323102 - 1.20583i) q^{5} +(-1.86092 - 1.59279i) q^{6} +(0.140266 - 0.242948i) q^{7} +(2.82749 + 0.0728225i) q^{8} +(0.513832 + 2.95567i) q^{9} +(0.471556 - 1.70132i) q^{10} +(-0.823794 - 3.07444i) q^{11} +(-2.61231 - 2.27505i) q^{12} +(-0.740984 + 2.76539i) q^{13} +(0.201308 - 0.341865i) q^{14} +(-1.77270 + 1.23808i) q^{15} +(3.99764 + 0.137304i) q^{16} +3.72031i q^{17} +(0.690765 + 4.18603i) q^{18} +(-4.10860 + 4.10860i) q^{19} +(0.687507 - 2.40022i) q^{20} +(-0.456792 + 0.165636i) q^{21} +(-1.12766 - 4.35776i) q^{22} +(-1.57595 + 0.909876i) q^{23} +(-3.66661 - 3.24900i) q^{24} +(2.98049 + 1.72078i) q^{25} +(-1.08144 + 3.90172i) q^{26} +(2.61431 - 4.49059i) q^{27} +(0.288831 - 0.481009i) q^{28} +(-1.02626 - 3.83006i) q^{29} +(-2.52191 + 1.72933i) q^{30} +(-8.81101 + 5.08704i) q^{31} +(5.65165 + 0.242694i) q^{32} +(-2.33588 + 4.99361i) q^{33} +(-0.0451582 + 5.26112i) q^{34} +(-0.247635 - 0.247635i) q^{35} +(0.926042 + 5.92811i) q^{36} +(1.76964 - 1.76964i) q^{37} +(-5.86009 + 5.76035i) q^{38} +(4.06540 - 2.83934i) q^{39} +(1.00138 - 3.38595i) q^{40} +(-2.66819 - 4.62144i) q^{41} +(-0.647988 + 0.228692i) q^{42} +(6.89490 - 1.84748i) q^{43} +(-1.54180 - 6.17626i) q^{44} +(3.73007 + 0.335387i) q^{45} +(-2.23969 + 1.26758i) q^{46} +(5.48486 - 9.50006i) q^{47} +(-5.14574 - 4.63911i) q^{48} +(3.46065 + 5.99402i) q^{49} +(4.19400 + 2.46964i) q^{50} +(4.14791 - 4.93123i) q^{51} +(-1.57669 + 5.50453i) q^{52} +(-8.58403 - 8.58403i) q^{53} +(3.75156 - 6.31869i) q^{54} -3.97344 q^{55} +(0.414293 - 0.676718i) q^{56} +(10.0267 - 0.865067i) q^{57} +(-1.40481 - 5.42878i) q^{58} +(5.38532 + 1.44299i) q^{59} +(-3.58738 + 2.41494i) q^{60} +(-6.23168 + 1.66977i) q^{61} +(-12.5219 + 7.08695i) q^{62} +(0.790146 + 0.289745i) q^{63} +(7.98939 + 0.411810i) q^{64} +(3.09519 + 1.78701i) q^{65} +(-3.36393 + 7.03342i) q^{66} +(3.75640 + 1.00652i) q^{67} +(-0.127722 + 7.43953i) q^{68} +(3.10336 + 0.551057i) q^{69} +(-0.347189 - 0.353201i) q^{70} +10.6808i q^{71} +(1.23762 + 8.39454i) q^{72} -9.30419i q^{73} +(2.52404 - 2.48108i) q^{74} +(-2.03203 - 5.60393i) q^{75} +(-8.35704 + 8.07493i) q^{76} +(-0.862479 - 0.231101i) q^{77} +(5.78360 - 3.96594i) q^{78} +(-8.70990 - 5.02866i) q^{79} +(1.45721 - 4.77613i) q^{80} +(-8.47195 + 3.03744i) q^{81} +(-3.71715 - 6.56784i) q^{82} +(2.19703 - 0.588691i) q^{83} +(-0.919136 + 0.315542i) q^{84} +(4.48608 + 1.20204i) q^{85} +(9.77292 - 2.52895i) q^{86} +(-2.90998 + 6.22091i) q^{87} +(-2.10538 - 8.75294i) q^{88} +1.87637 q^{89} +(5.27085 + 0.519568i) q^{90} +(0.567911 + 0.567911i) q^{91} +(-3.18267 + 1.76538i) q^{92} +(17.3506 + 3.08091i) q^{93} +(7.87179 - 13.3680i) q^{94} +(3.62679 + 6.28179i) q^{95} +(-7.22060 - 6.62291i) q^{96} +(9.19070 - 15.9188i) q^{97} +(4.82116 + 8.51852i) q^{98} +(8.66374 - 4.01461i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} + O(q^{10}) \) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} - 8q^{10} - 6q^{11} - 16q^{12} - 2q^{13} - 6q^{14} - 2q^{16} - 10q^{18} - 8q^{19} - 48q^{20} + 2q^{21} - 2q^{22} - 12q^{23} - 16q^{27} + 8q^{28} - 6q^{29} - 34q^{30} - 6q^{32} - 8q^{33} + 2q^{34} - 26q^{36} - 8q^{37} - 6q^{38} - 32q^{39} - 2q^{40} + 48q^{42} - 2q^{43} + 6q^{45} - 40q^{46} + 42q^{48} - 24q^{49} + 72q^{50} - 12q^{51} - 2q^{52} - 38q^{54} - 16q^{55} + 36q^{56} + 16q^{58} - 42q^{59} + 70q^{60} - 2q^{61} - 44q^{64} - 12q^{65} + 104q^{66} - 2q^{67} + 96q^{68} - 10q^{69} - 16q^{70} - 10q^{72} + 78q^{74} - 56q^{75} - 14q^{76} - 6q^{77} + 12q^{78} - 8q^{81} - 36q^{82} + 54q^{83} + 158q^{84} + 8q^{85} + 54q^{86} + 48q^{87} + 22q^{88} + 64q^{90} + 20q^{91} + 108q^{92} - 34q^{93} + 6q^{94} - 58q^{96} - 4q^{97} + 46q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.41416 + 0.0121383i 0.999963 + 0.00858306i
\(3\) −1.32549 1.11494i −0.765270 0.643709i
\(4\) 1.99971 + 0.0343310i 0.999853 + 0.0171655i
\(5\) 0.323102 1.20583i 0.144496 0.539266i −0.855282 0.518164i \(-0.826616\pi\)
0.999777 0.0211020i \(-0.00671747\pi\)
\(6\) −1.86092 1.59279i −0.759717 0.650254i
\(7\) 0.140266 0.242948i 0.0530156 0.0918256i −0.838300 0.545210i \(-0.816450\pi\)
0.891315 + 0.453384i \(0.149783\pi\)
\(8\) 2.82749 + 0.0728225i 0.999669 + 0.0257466i
\(9\) 0.513832 + 2.95567i 0.171277 + 0.985223i
\(10\) 0.471556 1.70132i 0.149119 0.538005i
\(11\) −0.823794 3.07444i −0.248383 0.926979i −0.971653 0.236413i \(-0.924028\pi\)
0.723269 0.690566i \(-0.242639\pi\)
\(12\) −2.61231 2.27505i −0.754108 0.656750i
\(13\) −0.740984 + 2.76539i −0.205512 + 0.766982i 0.783781 + 0.621038i \(0.213289\pi\)
−0.989293 + 0.145944i \(0.953378\pi\)
\(14\) 0.201308 0.341865i 0.0538017 0.0913672i
\(15\) −1.77270 + 1.23808i −0.457708 + 0.319671i
\(16\) 3.99764 + 0.137304i 0.999411 + 0.0343259i
\(17\) 3.72031i 0.902309i 0.892446 + 0.451154i \(0.148988\pi\)
−0.892446 + 0.451154i \(0.851012\pi\)
\(18\) 0.690765 + 4.18603i 0.162815 + 0.986657i
\(19\) −4.10860 + 4.10860i −0.942577 + 0.942577i −0.998439 0.0558614i \(-0.982209\pi\)
0.0558614 + 0.998439i \(0.482209\pi\)
\(20\) 0.687507 2.40022i 0.153731 0.536706i
\(21\) −0.456792 + 0.165636i −0.0996802 + 0.0361448i
\(22\) −1.12766 4.35776i −0.240418 0.929077i
\(23\) −1.57595 + 0.909876i −0.328609 + 0.189722i −0.655223 0.755435i \(-0.727425\pi\)
0.326615 + 0.945158i \(0.394092\pi\)
\(24\) −3.66661 3.24900i −0.748443 0.663199i
\(25\) 2.98049 + 1.72078i 0.596097 + 0.344157i
\(26\) −1.08144 + 3.90172i −0.212088 + 0.765189i
\(27\) 2.61431 4.49059i 0.503123 0.864215i
\(28\) 0.288831 0.481009i 0.0545840 0.0909021i
\(29\) −1.02626 3.83006i −0.190572 0.711224i −0.993369 0.114972i \(-0.963322\pi\)
0.802797 0.596253i \(-0.203344\pi\)
\(30\) −2.52191 + 1.72933i −0.460435 + 0.315730i
\(31\) −8.81101 + 5.08704i −1.58250 + 0.913659i −0.588012 + 0.808852i \(0.700089\pi\)
−0.994493 + 0.104807i \(0.966578\pi\)
\(32\) 5.65165 + 0.242694i 0.999079 + 0.0429026i
\(33\) −2.33588 + 4.99361i −0.406625 + 0.869276i
\(34\) −0.0451582 + 5.26112i −0.00774456 + 0.902275i
\(35\) −0.247635 0.247635i −0.0418579 0.0418579i
\(36\) 0.926042 + 5.92811i 0.154340 + 0.988018i
\(37\) 1.76964 1.76964i 0.290928 0.290928i −0.546519 0.837447i \(-0.684047\pi\)
0.837447 + 0.546519i \(0.184047\pi\)
\(38\) −5.86009 + 5.76035i −0.950633 + 0.934452i
\(39\) 4.06540 2.83934i 0.650985 0.454658i
\(40\) 1.00138 3.38595i 0.158332 0.535366i
\(41\) −2.66819 4.62144i −0.416701 0.721747i 0.578904 0.815395i \(-0.303480\pi\)
−0.995605 + 0.0936482i \(0.970147\pi\)
\(42\) −0.647988 + 0.228692i −0.0999868 + 0.0352880i
\(43\) 6.89490 1.84748i 1.05146 0.281738i 0.308606 0.951190i \(-0.400138\pi\)
0.742856 + 0.669452i \(0.233471\pi\)
\(44\) −1.54180 6.17626i −0.232435 0.931106i
\(45\) 3.73007 + 0.335387i 0.556046 + 0.0499965i
\(46\) −2.23969 + 1.26758i −0.330225 + 0.186895i
\(47\) 5.48486 9.50006i 0.800049 1.38573i −0.119534 0.992830i \(-0.538140\pi\)
0.919583 0.392896i \(-0.128527\pi\)
\(48\) −5.14574 4.63911i −0.742723 0.669598i
\(49\) 3.46065 + 5.99402i 0.494379 + 0.856289i
\(50\) 4.19400 + 2.46964i 0.593121 + 0.349260i
\(51\) 4.14791 4.93123i 0.580824 0.690510i
\(52\) −1.57669 + 5.50453i −0.218647 + 0.763341i
\(53\) −8.58403 8.58403i −1.17911 1.17911i −0.979972 0.199135i \(-0.936187\pi\)
−0.199135 0.979972i \(-0.563813\pi\)
\(54\) 3.75156 6.31869i 0.510522 0.859864i
\(55\) −3.97344 −0.535778
\(56\) 0.414293 0.676718i 0.0553622 0.0904302i
\(57\) 10.0267 0.865067i 1.32807 0.114581i
\(58\) −1.40481 5.42878i −0.184460 0.712834i
\(59\) 5.38532 + 1.44299i 0.701109 + 0.187862i 0.591727 0.806138i \(-0.298446\pi\)
0.109382 + 0.994000i \(0.465113\pi\)
\(60\) −3.58738 + 2.41494i −0.463128 + 0.311767i
\(61\) −6.23168 + 1.66977i −0.797885 + 0.213793i −0.634655 0.772796i \(-0.718858\pi\)
−0.163230 + 0.986588i \(0.552191\pi\)
\(62\) −12.5219 + 7.08695i −1.59029 + 0.900043i
\(63\) 0.790146 + 0.289745i 0.0995491 + 0.0365045i
\(64\) 7.98939 + 0.411810i 0.998674 + 0.0514762i
\(65\) 3.09519 + 1.78701i 0.383911 + 0.221651i
\(66\) −3.36393 + 7.03342i −0.414071 + 0.865754i
\(67\) 3.75640 + 1.00652i 0.458918 + 0.122967i 0.480869 0.876792i \(-0.340321\pi\)
−0.0219514 + 0.999759i \(0.506988\pi\)
\(68\) −0.127722 + 7.43953i −0.0154886 + 0.902176i
\(69\) 3.10336 + 0.551057i 0.373600 + 0.0663395i
\(70\) −0.347189 0.353201i −0.0414971 0.0422156i
\(71\) 10.6808i 1.26758i 0.773506 + 0.633789i \(0.218501\pi\)
−0.773506 + 0.633789i \(0.781499\pi\)
\(72\) 1.23762 + 8.39454i 0.145854 + 0.989306i
\(73\) 9.30419i 1.08897i −0.838770 0.544487i \(-0.816725\pi\)
0.838770 0.544487i \(-0.183275\pi\)
\(74\) 2.52404 2.48108i 0.293414 0.288420i
\(75\) −2.03203 5.60393i −0.234639 0.647086i
\(76\) −8.35704 + 8.07493i −0.958618 + 0.926258i
\(77\) −0.862479 0.231101i −0.0982886 0.0263364i
\(78\) 5.78360 3.96594i 0.654864 0.449054i
\(79\) −8.70990 5.02866i −0.979940 0.565769i −0.0776882 0.996978i \(-0.524754\pi\)
−0.902252 + 0.431209i \(0.858087\pi\)
\(80\) 1.45721 4.77613i 0.162921 0.533988i
\(81\) −8.47195 + 3.03744i −0.941328 + 0.337493i
\(82\) −3.71715 6.56784i −0.410491 0.725297i
\(83\) 2.19703 0.588691i 0.241155 0.0646173i −0.136217 0.990679i \(-0.543494\pi\)
0.377372 + 0.926062i \(0.376828\pi\)
\(84\) −0.919136 + 0.315542i −0.100286 + 0.0344285i
\(85\) 4.48608 + 1.20204i 0.486584 + 0.130380i
\(86\) 9.77292 2.52895i 1.05384 0.272703i
\(87\) −2.90998 + 6.22091i −0.311982 + 0.666952i
\(88\) −2.10538 8.75294i −0.224434 0.933067i
\(89\) 1.87637 0.198895 0.0994475 0.995043i \(-0.468292\pi\)
0.0994475 + 0.995043i \(0.468292\pi\)
\(90\) 5.27085 + 0.519568i 0.555596 + 0.0547672i
\(91\) 0.567911 + 0.567911i 0.0595332 + 0.0595332i
\(92\) −3.18267 + 1.76538i −0.331817 + 0.184054i
\(93\) 17.3506 + 3.08091i 1.79917 + 0.319476i
\(94\) 7.87179 13.3680i 0.811913 1.37881i
\(95\) 3.62679 + 6.28179i 0.372101 + 0.644498i
\(96\) −7.22060 6.62291i −0.736949 0.675948i
\(97\) 9.19070 15.9188i 0.933175 1.61631i 0.155317 0.987865i \(-0.450360\pi\)
0.777857 0.628441i \(-0.216307\pi\)
\(98\) 4.82116 + 8.51852i 0.487011 + 0.860501i
\(99\) 8.66374 4.01461i 0.870739 0.403484i
\(100\) 5.90102 + 3.54338i 0.590102 + 0.354338i
\(101\) −15.6211 + 4.18566i −1.55436 + 0.416488i −0.930871 0.365347i \(-0.880950\pi\)
−0.623485 + 0.781836i \(0.714284\pi\)
\(102\) 5.92568 6.92320i 0.586729 0.685499i
\(103\) 0.0611378 + 0.105894i 0.00602409 + 0.0104340i 0.869022 0.494774i \(-0.164749\pi\)
−0.862998 + 0.505208i \(0.831416\pi\)
\(104\) −2.29651 + 7.76516i −0.225191 + 0.761436i
\(105\) 0.0521396 + 0.604333i 0.00508830 + 0.0589769i
\(106\) −12.0350 12.2434i −1.16894 1.18918i
\(107\) −5.97359 + 5.97359i −0.577489 + 0.577489i −0.934211 0.356722i \(-0.883894\pi\)
0.356722 + 0.934211i \(0.383894\pi\)
\(108\) 5.38201 8.89011i 0.517884 0.855451i
\(109\) −3.40913 3.40913i −0.326536 0.326536i 0.524732 0.851268i \(-0.324166\pi\)
−0.851268 + 0.524732i \(0.824166\pi\)
\(110\) −5.61908 0.0482307i −0.535759 0.00459862i
\(111\) −4.31868 + 0.372599i −0.409911 + 0.0353655i
\(112\) 0.594091 0.951960i 0.0561363 0.0899517i
\(113\) 1.91330 1.10464i 0.179988 0.103916i −0.407299 0.913295i \(-0.633529\pi\)
0.587287 + 0.809379i \(0.300196\pi\)
\(114\) 14.1899 1.10164i 1.32901 0.103178i
\(115\) 0.587966 + 2.19432i 0.0548281 + 0.204621i
\(116\) −1.92073 7.69422i −0.178335 0.714391i
\(117\) −8.55432 0.769157i −0.790847 0.0711086i
\(118\) 7.59820 + 2.10599i 0.699471 + 0.193872i
\(119\) 0.903842 + 0.521833i 0.0828551 + 0.0478364i
\(120\) −5.10244 + 3.37156i −0.465787 + 0.307780i
\(121\) 0.752719 0.434583i 0.0684290 0.0395075i
\(122\) −8.83287 + 2.28569i −0.799690 + 0.206936i
\(123\) −1.61596 + 9.10052i −0.145706 + 0.820566i
\(124\) −17.7941 + 9.87009i −1.59795 + 0.886360i
\(125\) 7.45164 7.45164i 0.666495 0.666495i
\(126\) 1.11388 + 0.419338i 0.0992321 + 0.0373576i
\(127\) 3.63934i 0.322939i −0.986878 0.161470i \(-0.948377\pi\)
0.986878 0.161470i \(-0.0516234\pi\)
\(128\) 11.2933 + 0.679343i 0.998196 + 0.0600460i
\(129\) −11.1989 5.23856i −0.986010 0.461229i
\(130\) 4.35541 + 2.56469i 0.381995 + 0.224938i
\(131\) −4.01630 + 14.9890i −0.350906 + 1.30960i 0.534653 + 0.845072i \(0.320442\pi\)
−0.885559 + 0.464527i \(0.846224\pi\)
\(132\) −4.84251 + 9.90556i −0.421486 + 0.862168i
\(133\) 0.421878 + 1.57447i 0.0365815 + 0.136524i
\(134\) 5.29994 + 1.46899i 0.457845 + 0.126901i
\(135\) −4.57022 4.60334i −0.393342 0.396192i
\(136\) −0.270922 + 10.5191i −0.0232314 + 0.902009i
\(137\) −10.4065 + 18.0245i −0.889085 + 1.53994i −0.0481263 + 0.998841i \(0.515325\pi\)
−0.840959 + 0.541099i \(0.818008\pi\)
\(138\) 4.38196 + 0.816953i 0.373017 + 0.0695437i
\(139\) −0.214907 + 0.802043i −0.0182282 + 0.0680284i −0.974441 0.224644i \(-0.927878\pi\)
0.956213 + 0.292673i \(0.0945446\pi\)
\(140\) −0.486695 0.503698i −0.0411332 0.0425702i
\(141\) −17.8621 + 6.47693i −1.50426 + 0.545456i
\(142\) −0.129646 + 15.1044i −0.0108797 + 1.26753i
\(143\) 9.11246 0.762022
\(144\) 1.64829 + 11.8863i 0.137358 + 0.990521i
\(145\) −4.95000 −0.411076
\(146\) 0.112937 13.1576i 0.00934672 1.08893i
\(147\) 2.09591 11.8034i 0.172868 0.973529i
\(148\) 3.59952 3.47801i 0.295879 0.285891i
\(149\) 1.37640 5.13681i 0.112759 0.420824i −0.886350 0.463015i \(-0.846767\pi\)
0.999110 + 0.0421919i \(0.0134341\pi\)
\(150\) −2.80560 7.94953i −0.229076 0.649076i
\(151\) −1.53487 + 2.65847i −0.124906 + 0.216343i −0.921696 0.387913i \(-0.873196\pi\)
0.796790 + 0.604256i \(0.206529\pi\)
\(152\) −11.9162 + 11.3178i −0.966533 + 0.917996i
\(153\) −10.9960 + 1.91162i −0.888975 + 0.154545i
\(154\) −1.21688 0.337283i −0.0980590 0.0271790i
\(155\) 3.28727 + 12.2683i 0.264040 + 0.985410i
\(156\) 8.22708 5.53827i 0.658694 0.443417i
\(157\) 1.51093 5.63885i 0.120585 0.450029i −0.879059 0.476713i \(-0.841828\pi\)
0.999644 + 0.0266838i \(0.00849471\pi\)
\(158\) −12.2562 7.21706i −0.975048 0.574159i
\(159\) 1.80737 + 20.9487i 0.143334 + 1.66134i
\(160\) 2.11871 6.73653i 0.167499 0.532570i
\(161\) 0.510499i 0.0402329i
\(162\) −12.0176 + 4.19259i −0.944190 + 0.329401i
\(163\) −12.5565 + 12.5565i −0.983500 + 0.983500i −0.999866 0.0163656i \(-0.994790\pi\)
0.0163656 + 0.999866i \(0.494790\pi\)
\(164\) −5.17693 9.33311i −0.404250 0.728794i
\(165\) 5.26674 + 4.43013i 0.410015 + 0.344885i
\(166\) 3.11410 0.805837i 0.241701 0.0625450i
\(167\) 12.0834 6.97635i 0.935041 0.539846i 0.0466388 0.998912i \(-0.485149\pi\)
0.888402 + 0.459066i \(0.151816\pi\)
\(168\) −1.30364 + 0.435071i −0.100578 + 0.0335664i
\(169\) 4.16000 + 2.40178i 0.320000 + 0.184752i
\(170\) 6.32945 + 1.75433i 0.485447 + 0.134551i
\(171\) −14.2548 10.0325i −1.09009 0.767206i
\(172\) 13.8512 3.45771i 1.05614 0.263648i
\(173\) −0.640380 2.38993i −0.0486872 0.181703i 0.937300 0.348523i \(-0.113317\pi\)
−0.985987 + 0.166820i \(0.946650\pi\)
\(174\) −4.19069 + 8.76205i −0.317695 + 0.664249i
\(175\) 0.836121 0.482735i 0.0632048 0.0364913i
\(176\) −2.87110 12.4036i −0.216418 0.934959i
\(177\) −5.52933 7.91696i −0.415610 0.595075i
\(178\) 2.65349 + 0.0227759i 0.198888 + 0.00170713i
\(179\) −9.53870 9.53870i −0.712956 0.712956i 0.254197 0.967153i \(-0.418189\pi\)
−0.967153 + 0.254197i \(0.918189\pi\)
\(180\) 7.44752 + 0.798732i 0.555105 + 0.0595339i
\(181\) −6.83874 + 6.83874i −0.508320 + 0.508320i −0.914010 0.405691i \(-0.867031\pi\)
0.405691 + 0.914010i \(0.367031\pi\)
\(182\) 0.796224 + 0.810011i 0.0590201 + 0.0600420i
\(183\) 10.1217 + 4.73466i 0.748218 + 0.349996i
\(184\) −4.52224 + 2.45790i −0.333384 + 0.181199i
\(185\) −1.56212 2.70567i −0.114849 0.198925i
\(186\) 24.4992 + 4.56752i 1.79637 + 0.334907i
\(187\) 11.4379 3.06477i 0.836421 0.224118i
\(188\) 11.2943 18.8090i 0.823718 1.37179i
\(189\) −0.724281 1.26502i −0.0526837 0.0920164i
\(190\) 5.05262 + 8.92748i 0.366555 + 0.647668i
\(191\) 7.08629 12.2738i 0.512746 0.888102i −0.487145 0.873321i \(-0.661962\pi\)
0.999891 0.0147810i \(-0.00470512\pi\)
\(192\) −10.1307 9.45352i −0.731120 0.682249i
\(193\) −6.47017 11.2067i −0.465733 0.806673i 0.533501 0.845799i \(-0.320876\pi\)
−0.999234 + 0.0391263i \(0.987543\pi\)
\(194\) 13.1904 22.4001i 0.947013 1.60824i
\(195\) −2.11023 5.81960i −0.151117 0.416750i
\(196\) 6.71450 + 12.1051i 0.479607 + 0.864649i
\(197\) 8.02294 + 8.02294i 0.571611 + 0.571611i 0.932578 0.360968i \(-0.117553\pi\)
−0.360968 + 0.932578i \(0.617553\pi\)
\(198\) 12.3007 5.57215i 0.874170 0.395995i
\(199\) 10.9199 0.774093 0.387046 0.922060i \(-0.373495\pi\)
0.387046 + 0.922060i \(0.373495\pi\)
\(200\) 8.30198 + 5.08255i 0.587039 + 0.359390i
\(201\) −3.85685 5.52229i −0.272041 0.389512i
\(202\) −22.1415 + 5.72958i −1.55787 + 0.403132i
\(203\) −1.07445 0.287899i −0.0754119 0.0202066i
\(204\) 8.46390 9.71860i 0.592592 0.680438i
\(205\) −6.43478 + 1.72420i −0.449425 + 0.120423i
\(206\) 0.0851733 + 0.150493i 0.00593431 + 0.0104853i
\(207\) −3.49907 4.19047i −0.243202 0.291258i
\(208\) −3.34189 + 10.9533i −0.231718 + 0.759475i
\(209\) 16.0163 + 9.24701i 1.10787 + 0.639629i
\(210\) 0.0663982 + 0.855258i 0.00458191 + 0.0590184i
\(211\) 16.3108 + 4.37047i 1.12288 + 0.300875i 0.772049 0.635563i \(-0.219232\pi\)
0.350833 + 0.936438i \(0.385899\pi\)
\(212\) −16.8708 17.4602i −1.15869 1.19917i
\(213\) 11.9084 14.1573i 0.815951 0.970039i
\(214\) −8.52014 + 8.37512i −0.582425 + 0.572511i
\(215\) 8.91103i 0.607727i
\(216\) 7.71894 12.5067i 0.525207 0.850974i
\(217\) 2.85415i 0.193753i
\(218\) −4.77969 4.86245i −0.323721 0.329327i
\(219\) −10.3736 + 12.3326i −0.700982 + 0.833359i
\(220\) −7.94571 0.136412i −0.535699 0.00919689i
\(221\) −10.2881 2.75669i −0.692054 0.185435i
\(222\) −6.11183 + 0.474494i −0.410199 + 0.0318460i
\(223\) 12.3586 + 7.13522i 0.827591 + 0.477810i 0.853027 0.521867i \(-0.174764\pi\)
−0.0254364 + 0.999676i \(0.508098\pi\)
\(224\) 0.851696 1.33901i 0.0569063 0.0894666i
\(225\) −3.55460 + 9.69352i −0.236973 + 0.646235i
\(226\) 2.71912 1.53892i 0.180873 0.102367i
\(227\) −8.50557 + 2.27906i −0.564535 + 0.151267i −0.529789 0.848130i \(-0.677729\pi\)
−0.0347459 + 0.999396i \(0.511062\pi\)
\(228\) 20.0802 1.38565i 1.32984 0.0917671i
\(229\) 24.0786 + 6.45185i 1.59116 + 0.426350i 0.942358 0.334606i \(-0.108603\pi\)
0.648803 + 0.760957i \(0.275270\pi\)
\(230\) 0.804844 + 3.11026i 0.0530698 + 0.205084i
\(231\) 0.885543 + 1.26793i 0.0582644 + 0.0834237i
\(232\) −2.62283 10.9042i −0.172197 0.715895i
\(233\) 6.51295 0.426678 0.213339 0.976978i \(-0.431566\pi\)
0.213339 + 0.976978i \(0.431566\pi\)
\(234\) −12.0879 1.19155i −0.790208 0.0778939i
\(235\) −9.68332 9.68332i −0.631670 0.631670i
\(236\) 10.7195 + 3.07044i 0.697781 + 0.199869i
\(237\) 5.93822 + 16.3764i 0.385729 + 1.06376i
\(238\) 1.27184 + 0.748928i 0.0824414 + 0.0485458i
\(239\) 2.36907 + 4.10336i 0.153243 + 0.265424i 0.932418 0.361382i \(-0.117695\pi\)
−0.779175 + 0.626806i \(0.784362\pi\)
\(240\) −7.25660 + 4.70600i −0.468412 + 0.303771i
\(241\) 7.43805 12.8831i 0.479127 0.829872i −0.520586 0.853809i \(-0.674287\pi\)
0.999713 + 0.0239367i \(0.00762000\pi\)
\(242\) 1.06974 0.605434i 0.0687656 0.0389187i
\(243\) 14.6160 + 5.41961i 0.937618 + 0.347668i
\(244\) −12.5188 + 3.12512i −0.801437 + 0.200065i
\(245\) 8.34594 2.23629i 0.533203 0.142871i
\(246\) −2.39569 + 12.8500i −0.152744 + 0.819285i
\(247\) −8.31748 14.4063i −0.529228 0.916650i
\(248\) −25.2835 + 13.7419i −1.60550 + 0.872612i
\(249\) −3.56848 1.66924i −0.226143 0.105784i
\(250\) 10.6283 10.4474i 0.672191 0.660750i
\(251\) −6.89508 + 6.89508i −0.435213 + 0.435213i −0.890397 0.455184i \(-0.849573\pi\)
0.455184 + 0.890397i \(0.349573\pi\)
\(252\) 1.57011 + 0.606532i 0.0989078 + 0.0382079i
\(253\) 4.09562 + 4.09562i 0.257489 + 0.257489i
\(254\) 0.0441753 5.14661i 0.00277180 0.322927i
\(255\) −4.60604 6.59499i −0.288442 0.412994i
\(256\) 15.9623 + 1.09778i 0.997643 + 0.0686113i
\(257\) 2.17437 1.25537i 0.135633 0.0783080i −0.430648 0.902520i \(-0.641715\pi\)
0.566281 + 0.824212i \(0.308382\pi\)
\(258\) −15.7735 7.54410i −0.982015 0.469675i
\(259\) −0.181710 0.678152i −0.0112909 0.0421383i
\(260\) 6.12812 + 3.67975i 0.380050 + 0.228209i
\(261\) 10.7931 5.00130i 0.668074 0.309572i
\(262\) −5.86164 + 21.1482i −0.362133 + 1.30654i
\(263\) −3.14718 1.81703i −0.194064 0.112043i 0.399820 0.916594i \(-0.369073\pi\)
−0.593884 + 0.804551i \(0.702406\pi\)
\(264\) −6.96832 + 13.9493i −0.428871 + 0.858519i
\(265\) −13.1244 + 7.57740i −0.806228 + 0.465476i
\(266\) 0.577493 + 2.23168i 0.0354084 + 0.136833i
\(267\) −2.48711 2.09204i −0.152209 0.128031i
\(268\) 7.47714 + 2.14171i 0.456739 + 0.130826i
\(269\) 12.3633 12.3633i 0.753802 0.753802i −0.221384 0.975187i \(-0.571058\pi\)
0.975187 + 0.221384i \(0.0710575\pi\)
\(270\) −6.40715 6.56534i −0.389927 0.399554i
\(271\) 27.2658i 1.65628i −0.560523 0.828139i \(-0.689400\pi\)
0.560523 0.828139i \(-0.310600\pi\)
\(272\) −0.510812 + 14.8725i −0.0309726 + 0.901777i
\(273\) −0.119574 1.38594i −0.00723694 0.0838811i
\(274\) −14.9352 + 25.3633i −0.902270 + 1.53225i
\(275\) 2.83514 10.5809i 0.170966 0.638053i
\(276\) 6.18688 + 1.20849i 0.372406 + 0.0727427i
\(277\) 4.47587 + 16.7042i 0.268929 + 1.00366i 0.959801 + 0.280680i \(0.0905601\pi\)
−0.690872 + 0.722977i \(0.742773\pi\)
\(278\) −0.313648 + 1.13161i −0.0188114 + 0.0678694i
\(279\) −19.5630 23.4285i −1.17121 1.40263i
\(280\) −0.682151 0.718217i −0.0407663 0.0429217i
\(281\) 7.04702 12.2058i 0.420390 0.728137i −0.575588 0.817740i \(-0.695227\pi\)
0.995978 + 0.0896034i \(0.0285600\pi\)
\(282\) −25.3385 + 8.94261i −1.50888 + 0.532525i
\(283\) −0.168478 + 0.628767i −0.0100149 + 0.0373763i −0.970753 0.240082i \(-0.922826\pi\)
0.960738 + 0.277459i \(0.0894922\pi\)
\(284\) −0.366682 + 21.3584i −0.0217586 + 1.26739i
\(285\) 2.19653 12.3701i 0.130111 0.732740i
\(286\) 12.8865 + 0.110609i 0.761994 + 0.00654048i
\(287\) −1.49702 −0.0883665
\(288\) 2.18668 + 16.8291i 0.128851 + 0.991664i
\(289\) 3.15927 0.185839
\(290\) −7.00011 0.0600845i −0.411060 0.00352828i
\(291\) −29.9306 + 10.8531i −1.75456 + 0.636218i
\(292\) 0.319422 18.6056i 0.0186927 1.08881i
\(293\) −2.16816 + 8.09169i −0.126665 + 0.472722i −0.999894 0.0145900i \(-0.995356\pi\)
0.873228 + 0.487312i \(0.162022\pi\)
\(294\) 3.10723 16.6665i 0.181217 0.972009i
\(295\) 3.48002 6.02757i 0.202615 0.350939i
\(296\) 5.13252 4.87478i 0.298322 0.283341i
\(297\) −15.9597 4.33821i −0.926077 0.251728i
\(298\) 2.00881 7.24757i 0.116367 0.419840i
\(299\) −1.34841 5.03233i −0.0779804 0.291027i
\(300\) −3.87107 11.2760i −0.223496 0.651018i
\(301\) 0.518278 1.93424i 0.0298730 0.111488i
\(302\) −2.20282 + 3.74087i −0.126758 + 0.215263i
\(303\) 25.3723 + 11.8685i 1.45760 + 0.681827i
\(304\) −16.9888 + 15.8606i −0.974376 + 0.909667i
\(305\) 8.05388i 0.461164i
\(306\) −15.5733 + 2.56986i −0.890269 + 0.146909i
\(307\) 10.1250 10.1250i 0.577865 0.577865i −0.356449 0.934315i \(-0.616013\pi\)
0.934315 + 0.356449i \(0.116013\pi\)
\(308\) −1.71677 0.491743i −0.0978221 0.0280197i
\(309\) 0.0370275 0.208526i 0.00210642 0.0118626i
\(310\) 4.49981 + 17.3892i 0.255572 + 0.987640i
\(311\) −13.7848 + 7.95868i −0.781667 + 0.451295i −0.837021 0.547171i \(-0.815705\pi\)
0.0553539 + 0.998467i \(0.482371\pi\)
\(312\) 11.7016 7.73215i 0.662475 0.437747i
\(313\) 9.90266 + 5.71730i 0.559732 + 0.323161i 0.753038 0.657977i \(-0.228588\pi\)
−0.193306 + 0.981138i \(0.561921\pi\)
\(314\) 2.20514 7.95591i 0.124443 0.448978i
\(315\) 0.604683 0.859168i 0.0340700 0.0484086i
\(316\) −17.2446 10.3549i −0.970084 0.582507i
\(317\) 7.06533 + 26.3682i 0.396828 + 1.48098i 0.818644 + 0.574302i \(0.194726\pi\)
−0.421815 + 0.906682i \(0.638607\pi\)
\(318\) 2.30163 + 29.6467i 0.129069 + 1.66251i
\(319\) −10.9299 + 6.31036i −0.611955 + 0.353313i
\(320\) 3.07797 9.50083i 0.172064 0.531112i
\(321\) 14.5781 1.25774i 0.813670 0.0702004i
\(322\) −0.00619657 + 0.721927i −0.000345321 + 0.0402314i
\(323\) −15.2853 15.2853i −0.850495 0.850495i
\(324\) −17.0457 + 5.78313i −0.946983 + 0.321285i
\(325\) −6.96714 + 6.96714i −0.386467 + 0.386467i
\(326\) −17.9093 + 17.6045i −0.991906 + 0.975023i
\(327\) 0.717795 + 8.31973i 0.0396941 + 0.460082i
\(328\) −7.20773 13.2614i −0.397980 0.732237i
\(329\) −1.53868 2.66507i −0.0848301 0.146930i
\(330\) 7.39425 + 6.32885i 0.407040 + 0.348392i
\(331\) −11.1026 + 2.97493i −0.610254 + 0.163517i −0.550693 0.834708i \(-0.685637\pi\)
−0.0595605 + 0.998225i \(0.518970\pi\)
\(332\) 4.41362 1.10178i 0.242229 0.0604682i
\(333\) 6.13978 + 4.32118i 0.336458 + 0.236799i
\(334\) 17.1726 9.71902i 0.939640 0.531801i
\(335\) 2.42740 4.20439i 0.132623 0.229710i
\(336\) −1.84883 + 0.599436i −0.100862 + 0.0327019i
\(337\) 4.37194 + 7.57242i 0.238155 + 0.412496i 0.960185 0.279366i \(-0.0901242\pi\)
−0.722030 + 0.691862i \(0.756791\pi\)
\(338\) 5.85376 + 3.44699i 0.318402 + 0.187492i
\(339\) −3.76766 0.669016i −0.204631 0.0363360i
\(340\) 8.92957 + 2.55774i 0.484274 + 0.138713i
\(341\) 22.8983 + 22.8983i 1.24001 + 1.24001i
\(342\) −20.0368 14.3606i −1.08347 0.776534i
\(343\) 3.90537 0.210870
\(344\) 19.6298 4.72163i 1.05837 0.254573i
\(345\) 1.66719 3.56409i 0.0897583 0.191884i
\(346\) −0.876591 3.38752i −0.0471258 0.182114i
\(347\) 3.10690 + 0.832493i 0.166787 + 0.0446905i 0.341246 0.939974i \(-0.389151\pi\)
−0.174459 + 0.984664i \(0.555818\pi\)
\(348\) −6.03267 + 12.3401i −0.323385 + 0.661498i
\(349\) −32.0100 + 8.57705i −1.71346 + 0.459119i −0.976268 0.216568i \(-0.930514\pi\)
−0.737188 + 0.675687i \(0.763847\pi\)
\(350\) 1.18827 0.672516i 0.0635157 0.0359475i
\(351\) 10.4811 + 10.5570i 0.559439 + 0.563493i
\(352\) −3.90965 17.5756i −0.208385 0.936782i
\(353\) −7.18886 4.15049i −0.382624 0.220908i 0.296335 0.955084i \(-0.404235\pi\)
−0.678959 + 0.734176i \(0.737569\pi\)
\(354\) −7.72326 11.2630i −0.410487 0.598620i
\(355\) 12.8793 + 3.45099i 0.683561 + 0.183160i
\(356\) 3.75219 + 0.0644177i 0.198866 + 0.00341413i
\(357\) −0.616220 1.69941i −0.0326138 0.0899423i
\(358\) −13.3735 13.6050i −0.706810 0.719049i
\(359\) 17.1616i 0.905754i −0.891573 0.452877i \(-0.850398\pi\)
0.891573 0.452877i \(-0.149602\pi\)
\(360\) 10.5223 + 1.21994i 0.554574 + 0.0642962i
\(361\) 14.7612i 0.776903i
\(362\) −9.75410 + 9.58808i −0.512664 + 0.503938i
\(363\) −1.48225 0.263201i −0.0777981 0.0138145i
\(364\) 1.11616 + 1.15515i 0.0585025 + 0.0605464i
\(365\) −11.2193 3.00621i −0.587246 0.157352i
\(366\) 14.2562 + 6.81844i 0.745186 + 0.356406i
\(367\) 1.27977 + 0.738875i 0.0668034 + 0.0385690i 0.533030 0.846097i \(-0.321053\pi\)
−0.466226 + 0.884666i \(0.654387\pi\)
\(368\) −6.42502 + 3.42097i −0.334927 + 0.178331i
\(369\) 12.2884 10.2609i 0.639710 0.534162i
\(370\) −2.17625 3.84522i −0.113138 0.199903i
\(371\) −3.28952 + 0.881424i −0.170783 + 0.0457612i
\(372\) 34.5903 + 6.75658i 1.79343 + 0.350313i
\(373\) −31.6496 8.48049i −1.63876 0.439103i −0.682322 0.731052i \(-0.739030\pi\)
−0.956434 + 0.291948i \(0.905696\pi\)
\(374\) 16.2122 4.19525i 0.838314 0.216931i
\(375\) −18.1852 + 1.56895i −0.939078 + 0.0810200i
\(376\) 16.2002 26.4619i 0.835462 1.36467i
\(377\) 11.3521 0.584661
\(378\) −1.00890 1.79773i −0.0518920 0.0924652i
\(379\) 19.2548 + 19.2548i 0.989053 + 0.989053i 0.999941 0.0108880i \(-0.00346583\pi\)
−0.0108880 + 0.999941i \(0.503466\pi\)
\(380\) 7.03685 + 12.6862i 0.360983 + 0.650790i
\(381\) −4.05763 + 4.82390i −0.207879 + 0.247136i
\(382\) 10.1701 17.2711i 0.520350 0.883669i
\(383\) 3.99635 + 6.92189i 0.204204 + 0.353692i 0.949879 0.312618i \(-0.101206\pi\)
−0.745675 + 0.666310i \(0.767873\pi\)
\(384\) −14.2117 13.4918i −0.725237 0.688499i
\(385\) −0.557338 + 0.965338i −0.0284046 + 0.0491982i
\(386\) −9.01383 15.9266i −0.458792 0.810641i
\(387\) 9.00336 + 19.4297i 0.457667 + 0.987669i
\(388\) 18.9252 31.5173i 0.960782 1.60005i
\(389\) −8.25574 + 2.21212i −0.418583 + 0.112159i −0.461962 0.886900i \(-0.652854\pi\)
0.0433793 + 0.999059i \(0.486188\pi\)
\(390\) −2.91357 8.25547i −0.147534 0.418032i
\(391\) −3.38502 5.86303i −0.171188 0.296506i
\(392\) 9.34845 + 17.2001i 0.472168 + 0.868734i
\(393\) 22.0354 15.3899i 1.11154 0.776316i
\(394\) 11.2483 + 11.4431i 0.566684 + 0.576496i
\(395\) −8.87792 + 8.87792i −0.446697 + 0.446697i
\(396\) 17.4628 7.73060i 0.877536 0.388477i
\(397\) 21.9949 + 21.9949i 1.10389 + 1.10389i 0.993936 + 0.109957i \(0.0350713\pi\)
0.109957 + 0.993936i \(0.464929\pi\)
\(398\) 15.4425 + 0.132549i 0.774064 + 0.00664408i
\(399\) 1.19624 2.55731i 0.0598870 0.128026i
\(400\) 11.6786 + 7.28831i 0.583932 + 0.364416i
\(401\) −15.4215 + 8.90359i −0.770111 + 0.444624i −0.832914 0.553402i \(-0.813329\pi\)
0.0628030 + 0.998026i \(0.479996\pi\)
\(402\) −5.38718 7.85622i −0.268688 0.391833i
\(403\) −7.53883 28.1353i −0.375536 1.40152i
\(404\) −31.3813 + 7.83379i −1.56128 + 0.389746i
\(405\) 0.925337 + 11.1972i 0.0459803 + 0.556392i
\(406\) −1.51596 0.420178i −0.0752357 0.0208531i
\(407\) −6.89849 3.98284i −0.341945 0.197422i
\(408\) 12.0873 13.6409i 0.598410 0.675327i
\(409\) −21.0100 + 12.1301i −1.03888 + 0.599797i −0.919515 0.393054i \(-0.871419\pi\)
−0.119363 + 0.992851i \(0.538085\pi\)
\(410\) −9.12075 + 2.36018i −0.450442 + 0.116561i
\(411\) 33.8899 12.2887i 1.67166 0.606159i
\(412\) 0.118622 + 0.213855i 0.00584409 + 0.0105359i
\(413\) 1.10595 1.10595i 0.0544202 0.0544202i
\(414\) −4.89738 5.96847i −0.240693 0.293334i
\(415\) 2.83946i 0.139383i
\(416\) −4.85893 + 15.4492i −0.238228 + 0.757458i
\(417\) 1.17908 0.823490i 0.0577399 0.0403265i
\(418\) 22.5374 + 13.2712i 1.10234 + 0.649114i
\(419\) 2.95796 11.0392i 0.144506 0.539302i −0.855271 0.518180i \(-0.826610\pi\)
0.999777 0.0211217i \(-0.00672376\pi\)
\(420\) 0.0835164 + 1.21028i 0.00407518 + 0.0590555i
\(421\) −4.47753 16.7104i −0.218221 0.814413i −0.985008 0.172511i \(-0.944812\pi\)
0.766786 0.641903i \(-0.221855\pi\)
\(422\) 23.0131 + 6.37853i 1.12026 + 0.310502i
\(423\) 30.8973 + 11.3300i 1.50228 + 0.550883i
\(424\) −23.6461 24.8964i −1.14836 1.20907i
\(425\) −6.40186 + 11.0883i −0.310536 + 0.537864i
\(426\) 17.0123 19.8761i 0.824247 0.963000i
\(427\) −0.468425 + 1.74819i −0.0226687 + 0.0846006i
\(428\) −12.1505 + 11.7403i −0.587317 + 0.567491i
\(429\) −12.0784 10.1598i −0.583153 0.490520i
\(430\) 0.108164 12.6016i 0.00521616 0.607705i
\(431\) −33.7821 −1.62723 −0.813613 0.581407i \(-0.802502\pi\)
−0.813613 + 0.581407i \(0.802502\pi\)
\(432\) 11.0676 17.5928i 0.532492 0.846435i
\(433\) −32.7436 −1.57356 −0.786779 0.617235i \(-0.788253\pi\)
−0.786779 + 0.617235i \(0.788253\pi\)
\(434\) −0.0346445 + 4.03624i −0.00166299 + 0.193745i
\(435\) 6.56117 + 5.51894i 0.314584 + 0.264613i
\(436\) −6.70023 6.93430i −0.320883 0.332093i
\(437\) 2.73664 10.2133i 0.130911 0.488567i
\(438\) −14.8196 + 17.3143i −0.708109 + 0.827312i
\(439\) −14.7258 + 25.5058i −0.702824 + 1.21733i 0.264647 + 0.964345i \(0.414745\pi\)
−0.967471 + 0.252982i \(0.918589\pi\)
\(440\) −11.2349 0.289356i −0.535601 0.0137945i
\(441\) −15.9382 + 13.3085i −0.758960 + 0.633736i
\(442\) −14.5156 4.02329i −0.690437 0.191368i
\(443\) −2.35908 8.80422i −0.112083 0.418301i 0.886969 0.461830i \(-0.152807\pi\)
−0.999052 + 0.0435282i \(0.986140\pi\)
\(444\) −8.64888 + 0.596824i −0.410458 + 0.0283240i
\(445\) 0.606260 2.26259i 0.0287395 0.107257i
\(446\) 17.3904 + 10.2404i 0.823459 + 0.484895i
\(447\) −7.55162 + 5.27417i −0.357179 + 0.249460i
\(448\) 1.22069 1.88324i 0.0576721 0.0889749i
\(449\) 2.79179i 0.131753i −0.997828 0.0658765i \(-0.979016\pi\)
0.997828 0.0658765i \(-0.0209843\pi\)
\(450\) −5.14444 + 13.6651i −0.242511 + 0.644177i
\(451\) −12.0103 + 12.0103i −0.565543 + 0.565543i
\(452\) 3.86396 2.14328i 0.181745 0.100811i
\(453\) 4.99847 1.81248i 0.234848 0.0851579i
\(454\) −12.0559 + 3.11972i −0.565812 + 0.146416i
\(455\) 0.868300 0.501313i 0.0407065 0.0235019i
\(456\) 28.4134 1.71580i 1.33058 0.0803496i
\(457\) −1.90950 1.10245i −0.0893226 0.0515704i 0.454673 0.890658i \(-0.349756\pi\)
−0.543996 + 0.839088i \(0.683089\pi\)
\(458\) 33.9728 + 9.41623i 1.58744 + 0.439992i
\(459\) 16.7064 + 9.72604i 0.779788 + 0.453972i
\(460\) 1.10043 + 4.40818i 0.0513076 + 0.205532i
\(461\) −5.14058 19.1849i −0.239421 0.893531i −0.976106 0.217295i \(-0.930277\pi\)
0.736685 0.676236i \(-0.236390\pi\)
\(462\) 1.23691 + 1.80381i 0.0575463 + 0.0839207i
\(463\) 1.39347 0.804523i 0.0647602 0.0373893i −0.467270 0.884115i \(-0.654762\pi\)
0.532031 + 0.846725i \(0.321429\pi\)
\(464\) −3.57675 15.4521i −0.166046 0.717347i
\(465\) 9.32109 19.9265i 0.432255 0.924070i
\(466\) 9.21036 + 0.0790560i 0.426662 + 0.00366220i
\(467\) 9.94383 + 9.94383i 0.460145 + 0.460145i 0.898703 0.438558i \(-0.144511\pi\)
−0.438558 + 0.898703i \(0.644511\pi\)
\(468\) −17.0797 1.83177i −0.789510 0.0846734i
\(469\) 0.771428 0.771428i 0.0356213 0.0356213i
\(470\) −13.5762 13.8113i −0.626225 0.637069i
\(471\) −8.28968 + 5.78964i −0.381968 + 0.266772i
\(472\) 15.1219 + 4.47222i 0.696040 + 0.205850i
\(473\) −11.3600 19.6760i −0.522331 0.904704i
\(474\) 8.19882 + 23.2310i 0.376584 + 1.06703i
\(475\) −19.3156 + 5.17561i −0.886262 + 0.237473i
\(476\) 1.78950 + 1.07454i 0.0820217 + 0.0492516i
\(477\) 20.9608 29.7823i 0.959729 1.36364i
\(478\) 3.30045 + 5.83157i 0.150959 + 0.266730i
\(479\) −14.3867 + 24.9185i −0.657346 + 1.13856i 0.323955 + 0.946073i \(0.394987\pi\)
−0.981300 + 0.192483i \(0.938346\pi\)
\(480\) −10.3191 + 6.56696i −0.471002 + 0.299739i
\(481\) 3.58248 + 6.20504i 0.163347 + 0.282925i
\(482\) 10.6750 18.1285i 0.486232 0.825729i
\(483\) 0.569174 0.676659i 0.0258983 0.0307891i
\(484\) 1.52014 0.843196i 0.0690971 0.0383271i
\(485\) −16.2259 16.2259i −0.736778 0.736778i
\(486\) 20.6036 + 7.84162i 0.934599 + 0.355703i
\(487\) 43.0194 1.94939 0.974697 0.223530i \(-0.0717581\pi\)
0.974697 + 0.223530i \(0.0717581\pi\)
\(488\) −17.7416 + 4.26746i −0.803125 + 0.193179i
\(489\) 30.6432 2.64377i 1.38573 0.119556i
\(490\) 11.8297 3.06117i 0.534409 0.138289i
\(491\) 5.26076 + 1.40962i 0.237415 + 0.0636152i 0.375565 0.926796i \(-0.377449\pi\)
−0.138150 + 0.990411i \(0.544115\pi\)
\(492\) −3.54388 + 18.1429i −0.159770 + 0.817944i
\(493\) 14.2490 3.81801i 0.641744 0.171955i
\(494\) −11.5874 20.4738i −0.521341 0.921159i
\(495\) −2.04168 11.7442i −0.0917667 0.527861i
\(496\) −35.9217 + 19.1264i −1.61293 + 0.858800i
\(497\) 2.59488 + 1.49815i 0.116396 + 0.0672013i
\(498\) −5.02615 2.40389i −0.225227 0.107721i
\(499\) 17.2217 + 4.61454i 0.770950 + 0.206575i 0.622791 0.782388i \(-0.285999\pi\)
0.148159 + 0.988964i \(0.452665\pi\)
\(500\) 15.1569 14.6453i 0.677838 0.654956i
\(501\) −23.7946 4.22516i −1.06306 0.188766i
\(502\) −9.83444 + 9.66706i −0.438933 + 0.431462i
\(503\) 0.254767i 0.0113595i 0.999984 + 0.00567974i \(0.00180793\pi\)
−0.999984 + 0.00567974i \(0.998192\pi\)
\(504\) 2.21303 + 0.876792i 0.0985762 + 0.0390554i
\(505\) 20.1888i 0.898391i
\(506\) 5.74216 + 5.84158i 0.255270 + 0.259690i
\(507\) −2.83620 7.82166i −0.125960 0.347372i
\(508\) 0.124942 7.27760i 0.00554340 0.322891i
\(509\) 10.6256 + 2.84712i 0.470971 + 0.126196i 0.486495 0.873683i \(-0.338275\pi\)
−0.0155245 + 0.999879i \(0.504942\pi\)
\(510\) −6.43364 9.38229i −0.284886 0.415455i
\(511\) −2.26043 1.30506i −0.0999956 0.0577325i
\(512\) 22.5599 + 1.74619i 0.997018 + 0.0771716i
\(513\) 7.70890 + 29.1912i 0.340356 + 1.28882i
\(514\) 3.09015 1.74891i 0.136301 0.0771410i
\(515\) 0.147444 0.0395075i 0.00649716 0.00174091i
\(516\) −22.2147 10.8600i −0.977948 0.478087i
\(517\) −33.7258 9.03680i −1.48326 0.397438i
\(518\) −0.248736 0.961222i −0.0109288 0.0422337i
\(519\) −1.81581 + 3.88180i −0.0797050 + 0.170392i
\(520\) 8.62148 + 5.27815i 0.378077 + 0.231462i
\(521\) 8.17552 0.358176 0.179088 0.983833i \(-0.442685\pi\)
0.179088 + 0.983833i \(0.442685\pi\)
\(522\) 15.3238 6.94163i 0.670706 0.303827i
\(523\) −11.4305 11.4305i −0.499820 0.499820i 0.411562 0.911382i \(-0.364983\pi\)
−0.911382 + 0.411562i \(0.864983\pi\)
\(524\) −8.54601 + 29.8358i −0.373334 + 1.30338i
\(525\) −1.64649 0.292364i −0.0718586 0.0127598i
\(526\) −4.42857 2.60777i −0.193095 0.113704i
\(527\) −18.9254 32.7797i −0.824403 1.42791i
\(528\) −10.0237 + 19.6420i −0.436224 + 0.854806i
\(529\) −9.84425 + 17.0507i −0.428011 + 0.741337i
\(530\) −18.6521 + 10.5564i −0.810193 + 0.458539i
\(531\) −1.49786 + 16.6587i −0.0650014 + 0.722925i
\(532\) 0.789579 + 3.16296i 0.0342326 + 0.137132i
\(533\) 14.7572 3.95417i 0.639204 0.171274i
\(534\) −3.49178 2.98867i −0.151104 0.129332i
\(535\) 5.27308 + 9.13325i 0.227975 + 0.394865i
\(536\) 10.5479 + 3.11949i 0.455599 + 0.134741i
\(537\) 2.00838 + 23.2785i 0.0866679 + 1.00454i
\(538\) 17.6337 17.3336i 0.760245 0.747305i
\(539\) 15.5774 15.5774i 0.670967 0.670967i
\(540\) −8.98106 9.36222i −0.386483 0.402886i
\(541\) 9.93863 + 9.93863i 0.427295 + 0.427295i 0.887706 0.460411i \(-0.152298\pi\)
−0.460411 + 0.887706i \(0.652298\pi\)
\(542\) 0.330959 38.5582i 0.0142159 1.65622i
\(543\) 16.6894 1.43990i 0.716212 0.0617920i
\(544\) −0.902898 + 21.0259i −0.0387114 + 0.901478i
\(545\) −5.21235 + 3.00935i −0.223273 + 0.128906i
\(546\) −0.152274 1.96140i −0.00651672 0.0839401i
\(547\) −0.754938 2.81747i −0.0322788 0.120466i 0.947907 0.318548i \(-0.103195\pi\)
−0.980185 + 0.198082i \(0.936529\pi\)
\(548\) −21.4287 + 35.6865i −0.915388 + 1.52445i
\(549\) −8.13733 17.5608i −0.347293 0.749476i
\(550\) 4.13779 14.9287i 0.176436 0.636562i
\(551\) 19.9527 + 11.5197i 0.850012 + 0.490755i
\(552\) 8.73458 + 1.78410i 0.371768 + 0.0759364i
\(553\) −2.44341 + 1.41070i −0.103904 + 0.0599891i
\(554\) 6.12685 + 23.6767i 0.260305 + 1.00593i
\(555\) −0.946083 + 5.32800i −0.0401590 + 0.226161i
\(556\) −0.457285 + 1.59647i −0.0193932 + 0.0677055i
\(557\) −11.5964 + 11.5964i −0.491356 + 0.491356i −0.908733 0.417377i \(-0.862949\pi\)
0.417377 + 0.908733i \(0.362949\pi\)
\(558\) −27.3808 33.3692i −1.15912 1.41263i
\(559\) 20.4360i 0.864352i
\(560\) −0.955953 1.02396i −0.0403964 0.0432700i
\(561\) −18.5778 8.69021i −0.784356 0.366901i
\(562\) 10.1138 17.1754i 0.426624 0.724502i
\(563\) −1.99011 + 7.42718i −0.0838730 + 0.313018i −0.995098 0.0988898i \(-0.968471\pi\)
0.911225 + 0.411908i \(0.135138\pi\)
\(564\) −35.9412 + 12.3387i −1.51340 + 0.519554i
\(565\) −0.713826 2.66403i −0.0300309 0.112077i
\(566\) −0.245887 + 0.887133i −0.0103354 + 0.0372890i
\(567\) −0.450388 + 2.48429i −0.0189145 + 0.104330i
\(568\) −0.777802 + 30.1998i −0.0326359 + 1.26716i
\(569\) 11.7897 20.4204i 0.494250 0.856066i −0.505728 0.862693i \(-0.668776\pi\)
0.999978 + 0.00662697i \(0.00210945\pi\)
\(570\) 3.25640 17.4666i 0.136396 0.731596i
\(571\) 1.99940 7.46185i 0.0836722 0.312269i −0.911387 0.411550i \(-0.864988\pi\)
0.995059 + 0.0992811i \(0.0316543\pi\)
\(572\) 18.2222 + 0.312839i 0.761910 + 0.0130805i
\(573\) −23.0773 + 8.36802i −0.964069 + 0.349579i
\(574\) −2.11703 0.0181713i −0.0883633 0.000758455i
\(575\) −6.26280 −0.261177
\(576\) 2.88804 + 23.8256i 0.120335 + 0.992733i
\(577\) 16.4238 0.683733 0.341866 0.939749i \(-0.388941\pi\)
0.341866 + 0.939749i \(0.388941\pi\)
\(578\) 4.46771 + 0.0383481i 0.185832 + 0.00159507i
\(579\) −3.91859 + 22.0681i −0.162851 + 0.917119i
\(580\) −9.89855 0.169938i −0.411015 0.00705631i
\(581\) 0.165147 0.616336i 0.00685144 0.0255699i
\(582\) −42.4584 + 14.9847i −1.75996 + 0.621135i
\(583\) −19.3196 + 33.4626i −0.800137 + 1.38588i
\(584\) 0.677554 26.3075i 0.0280374 1.08861i
\(585\) −3.69140 + 10.0666i −0.152621 + 0.416202i
\(586\) −3.16435 + 11.4166i −0.130718 + 0.471617i
\(587\) −11.7964 44.0249i −0.486891 1.81710i −0.571388 0.820680i \(-0.693595\pi\)
0.0844969 0.996424i \(-0.473072\pi\)
\(588\) 4.59642 23.5314i 0.189553 0.970418i
\(589\) 15.3003 57.1015i 0.630438 2.35283i
\(590\) 4.99447 8.48171i 0.205619 0.349187i
\(591\) −1.68923 19.5794i −0.0694858 0.805388i
\(592\) 7.31738 6.83142i 0.300742 0.280770i
\(593\) 9.66931i 0.397071i −0.980094 0.198535i \(-0.936382\pi\)
0.980094 0.198535i \(-0.0636185\pi\)
\(594\) −22.5170 6.32865i −0.923882 0.259668i
\(595\) 0.921278 0.921278i 0.0377687 0.0377687i
\(596\) 2.92875 10.2248i 0.119966 0.418826i
\(597\) −14.4742 12.1750i −0.592390 0.498290i
\(598\) −1.84578 7.13289i −0.0754797 0.291686i
\(599\) −8.99479 + 5.19314i −0.367517 + 0.212186i −0.672373 0.740212i \(-0.734725\pi\)
0.304856 + 0.952398i \(0.401392\pi\)
\(600\) −5.33745 15.9930i −0.217901 0.652913i
\(601\) 16.6353 + 9.60440i 0.678569 + 0.391772i 0.799316 0.600912i \(-0.205196\pi\)
−0.120747 + 0.992683i \(0.538529\pi\)
\(602\) 0.756407 2.72903i 0.0308288 0.111227i
\(603\) −1.04479 + 11.6199i −0.0425473 + 0.473197i
\(604\) −3.16055 + 5.26345i −0.128601 + 0.214167i
\(605\) −0.280829 1.04807i −0.0114173 0.0426101i
\(606\) 35.7365 + 17.0919i 1.45169 + 0.694312i
\(607\) 12.1261 7.00100i 0.492183 0.284162i −0.233297 0.972406i \(-0.574951\pi\)
0.725480 + 0.688244i \(0.241618\pi\)
\(608\) −24.2175 + 22.2232i −0.982148 + 0.901270i
\(609\) 1.10319 + 1.57955i 0.0447033 + 0.0640068i
\(610\) −0.0977602 + 11.3895i −0.00395819 + 0.461147i
\(611\) 22.2072 + 22.2072i 0.898406 + 0.898406i
\(612\) −22.0544 + 3.44517i −0.891497 + 0.139263i
\(613\) 17.8303 17.8303i 0.720159 0.720159i −0.248478 0.968637i \(-0.579930\pi\)
0.968637 + 0.248478i \(0.0799304\pi\)
\(614\) 14.4413 14.1955i 0.582804 0.572884i
\(615\) 10.4516 + 4.88898i 0.421449 + 0.197143i
\(616\) −2.42182 0.716243i −0.0975780 0.0288582i
\(617\) 24.3668 + 42.2045i 0.980970 + 1.69909i 0.658630 + 0.752467i \(0.271136\pi\)
0.322340 + 0.946624i \(0.395531\pi\)
\(618\) 0.0548940 0.294439i 0.00220816 0.0118441i
\(619\) 11.1877 2.99775i 0.449673 0.120490i −0.0268731 0.999639i \(-0.508555\pi\)
0.476547 + 0.879149i \(0.341888\pi\)
\(620\) 6.15239 + 24.6457i 0.247086 + 0.989797i
\(621\) −0.0341372 + 9.45565i −0.00136988 + 0.379442i
\(622\) −19.5906 + 11.0875i −0.785511 + 0.444570i
\(623\) 0.263191 0.455861i 0.0105445 0.0182637i
\(624\) 16.6419 10.7925i 0.666208 0.432045i
\(625\) 2.02612 + 3.50934i 0.0810447 + 0.140374i
\(626\) 13.9346 + 8.20539i 0.556937 + 0.327953i
\(627\) −10.9196 30.1139i −0.436085 1.20264i
\(628\) 3.21499 11.2242i 0.128292 0.447893i
\(629\) 6.58363 + 6.58363i 0.262506 + 0.262506i
\(630\) 0.865548 1.20766i 0.0344843 0.0481144i
\(631\) 1.63509 0.0650918 0.0325459 0.999470i \(-0.489638\pi\)
0.0325459 + 0.999470i \(0.489638\pi\)
\(632\) −24.2610 14.8528i −0.965049 0.590811i
\(633\) −16.7470 23.9785i −0.665632 0.953060i
\(634\) 9.67145 + 37.3746i 0.384102 + 1.48434i
\(635\) −4.38844 1.17588i −0.174150 0.0466633i
\(636\) 2.89502 + 41.9532i 0.114795 + 1.66355i
\(637\) −19.1401 + 5.12858i −0.758359 + 0.203202i
\(638\) −15.5332 + 8.79120i −0.614965 + 0.348047i
\(639\) −31.5689 + 5.48814i −1.24885 + 0.217107i
\(640\) 4.46806 13.3983i 0.176616 0.529616i
\(641\) −33.5608 19.3763i −1.32557 0.765319i −0.340960 0.940078i \(-0.610752\pi\)
−0.984611 + 0.174759i \(0.944085\pi\)
\(642\) 20.6311 1.60170i 0.814243 0.0632140i
\(643\) −19.5010 5.22528i −0.769044 0.206065i −0.147095 0.989122i \(-0.546992\pi\)
−0.621949 + 0.783058i \(0.713659\pi\)
\(644\) −0.0175259 + 1.02085i −0.000690617 + 0.0402270i
\(645\) −9.93523 + 11.8115i −0.391199 + 0.465076i
\(646\) −21.4303 21.8014i −0.843164 0.857764i
\(647\) 28.2882i 1.11212i 0.831141 + 0.556062i \(0.187688\pi\)
−0.831141 + 0.556062i \(0.812312\pi\)
\(648\) −24.1756 + 7.97137i −0.949705 + 0.313145i
\(649\) 17.7456i 0.696575i
\(650\) −9.93722 + 9.76809i −0.389770 + 0.383136i
\(651\) 3.18220 3.78315i 0.124720 0.148273i
\(652\) −25.5404 + 24.6782i −1.00024 + 0.966473i
\(653\) 0.854532 + 0.228971i 0.0334404 + 0.00896033i 0.275500 0.961301i \(-0.411156\pi\)
−0.242060 + 0.970261i \(0.577823\pi\)
\(654\) 0.914091 + 11.7742i 0.0357438 + 0.460406i
\(655\) 16.7766 + 9.68599i 0.655517 + 0.378463i
\(656\) −10.0319 18.8412i −0.391681 0.735625i
\(657\) 27.5001 4.78079i 1.07288 0.186517i
\(658\) −2.14359 3.78752i −0.0835659 0.147653i
\(659\) 48.6567 13.0375i 1.89539 0.507869i 0.897653 0.440704i \(-0.145271\pi\)
0.997742 0.0671656i \(-0.0213956\pi\)
\(660\) 10.3798 + 9.03977i 0.404035 + 0.351873i
\(661\) 26.7677 + 7.17239i 1.04114 + 0.278974i 0.738587 0.674158i \(-0.235493\pi\)
0.302557 + 0.953131i \(0.402160\pi\)
\(662\) −15.7370 + 4.07227i −0.611635 + 0.158273i
\(663\) 10.5632 + 15.1246i 0.410242 + 0.587390i
\(664\) 6.25494 1.50453i 0.242739 0.0583869i
\(665\) 2.03486 0.0789086
\(666\) 8.63019 + 6.18537i 0.334413 + 0.239678i
\(667\) 5.10222 + 5.10222i 0.197559 + 0.197559i
\(668\) 24.4027 13.5358i 0.944170 0.523716i
\(669\) −8.42580 23.2367i −0.325760 0.898381i
\(670\) 3.48378 5.91622i 0.134590 0.228564i
\(671\) 10.2672 + 17.7834i 0.396363 + 0.686520i
\(672\) −2.62183 + 0.825258i −0.101139 + 0.0318350i
\(673\) −16.5237 + 28.6198i −0.636941 + 1.10321i 0.349160 + 0.937063i \(0.386467\pi\)
−0.986100 + 0.166150i \(0.946866\pi\)
\(674\) 6.09071 + 10.7617i 0.234605 + 0.414525i
\(675\) 15.5192 8.88549i 0.597336 0.342003i
\(676\) 8.23631 + 4.94566i 0.316781 + 0.190218i
\(677\) 10.0436 2.69118i 0.386007 0.103430i −0.0605961 0.998162i \(-0.519300\pi\)
0.446603 + 0.894732i \(0.352633\pi\)
\(678\) −5.31996 0.991830i −0.204312 0.0380910i
\(679\) −2.57829 4.46572i −0.0989455 0.171379i
\(680\) 12.5968 + 3.72545i 0.483066 + 0.142864i
\(681\) 13.8150 + 6.46231i 0.529393 + 0.247636i
\(682\) 32.1039 + 32.6598i 1.22932 + 1.25061i
\(683\) 9.18142 9.18142i 0.351317 0.351317i −0.509282 0.860600i \(-0.670089\pi\)
0.860600 + 0.509282i \(0.170089\pi\)
\(684\) −28.1609 20.5515i −1.07676 0.785805i
\(685\) 18.3723 + 18.3723i 0.701968 + 0.701968i
\(686\) 5.52282 + 0.0474044i 0.210862 + 0.00180991i
\(687\) −24.7225 35.3980i −0.943223 1.35052i
\(688\) 27.8170 6.43888i 1.06051 0.245480i
\(689\) 30.0988 17.3776i 1.14667 0.662033i
\(690\) 2.40093 5.01996i 0.0914019 0.191107i
\(691\) −6.53111 24.3744i −0.248455 0.927247i −0.971615 0.236567i \(-0.923978\pi\)
0.723160 0.690680i \(-0.242689\pi\)
\(692\) −1.19852 4.80114i −0.0455610 0.182512i
\(693\) 0.239887 2.66795i 0.00911256 0.101347i
\(694\) 4.38356 + 1.21499i 0.166398 + 0.0461204i
\(695\) 0.897694 + 0.518284i 0.0340515 + 0.0196596i
\(696\) −8.68095 + 17.3776i −0.329051 + 0.658698i
\(697\) 17.1932 9.92649i 0.651239 0.375993i
\(698\) −45.3714 + 11.7408i −1.71733 + 0.444396i
\(699\) −8.63283 7.26153i −0.326524 0.274656i
\(700\) 1.68857 0.936623i 0.0638219 0.0354010i
\(701\) −32.8695 + 32.8695i −1.24146 + 1.24146i −0.282069 + 0.959394i \(0.591021\pi\)
−0.959394 + 0.282069i \(0.908979\pi\)
\(702\) 14.6938 + 15.0566i 0.554582 + 0.568274i
\(703\) 14.5415i 0.548443i
\(704\) −5.31553 24.9022i −0.200337 0.938536i
\(705\) 2.03883 + 23.6314i 0.0767867 + 0.890011i
\(706\) −10.1158 5.95672i −0.380714 0.224184i
\(707\) −1.17421 + 4.38221i −0.0441607 + 0.164810i
\(708\) −10.7852 16.0214i −0.405334 0.602121i
\(709\) −11.0318 41.1714i −0.414310 1.54622i −0.786215 0.617953i \(-0.787962\pi\)
0.371905 0.928271i \(-0.378705\pi\)
\(710\) 18.1715 + 5.03659i 0.681964 + 0.189020i
\(711\) 10.3876 28.3275i 0.389567 1.06236i
\(712\) 5.30542 + 0.136642i 0.198829 + 0.00512088i
\(713\) 9.25715 16.0339i 0.346683 0.600473i
\(714\) −0.850806 2.41072i −0.0318406 0.0902189i
\(715\) 2.94426 10.9881i 0.110109 0.410932i
\(716\) −18.7471 19.4021i −0.700613 0.725089i
\(717\) 1.43481 8.08031i 0.0535838 0.301765i
\(718\) 0.208312 24.2693i 0.00777414 0.905721i
\(719\) 8.84226 0.329761 0.164880 0.986314i \(-0.447276\pi\)
0.164880 + 0.986314i \(0.447276\pi\)
\(720\) 14.8654 + 1.85291i 0.554002 + 0.0690538i
\(721\) 0.0343022 0.00127748
\(722\) 0.179175 20.8747i 0.00666820 0.776875i
\(723\) −24.2229 + 8.78340i −0.900858 + 0.326658i
\(724\) −13.9103 + 13.4407i −0.516970 + 0.499519i
\(725\) 3.53195 13.1814i 0.131173 0.489545i
\(726\) −2.09295 0.390200i −0.0776766 0.0144817i
\(727\) 11.4146 19.7707i 0.423344 0.733254i −0.572920 0.819611i \(-0.694189\pi\)
0.996264 + 0.0863576i \(0.0275228\pi\)
\(728\) 1.56441 + 1.64712i 0.0579807 + 0.0610463i
\(729\) −13.3308 23.4796i −0.493734 0.869613i
\(730\) −15.8294 4.38744i −0.585873 0.162387i
\(731\) 6.87321 + 25.6512i 0.254215 + 0.948743i
\(732\) 20.0779 + 9.81542i 0.742100 + 0.362788i
\(733\) 7.73423 28.8645i 0.285670 1.06614i −0.662678 0.748905i \(-0.730580\pi\)
0.948348 0.317232i \(-0.102753\pi\)
\(734\) 1.80083 + 1.06042i 0.0664699 + 0.0391409i
\(735\) −13.5558 6.34103i −0.500012 0.233892i
\(736\) −9.12754 + 4.75982i −0.336446 + 0.175449i
\(737\) 12.3780i 0.455950i
\(738\) 17.5024 14.3614i 0.644272 0.528652i
\(739\) 6.92568 6.92568i 0.254765 0.254765i −0.568156 0.822921i \(-0.692343\pi\)
0.822921 + 0.568156i \(0.192343\pi\)
\(740\) −3.03089 5.46418i −0.111418 0.200867i
\(741\) −5.03740 + 28.3688i −0.185053 + 1.04215i
\(742\) −4.66261 + 1.20655i −0.171170 + 0.0442937i
\(743\) 27.7583 16.0262i 1.01835 0.587946i 0.104726 0.994501i \(-0.466603\pi\)
0.913626 + 0.406555i \(0.133270\pi\)
\(744\) 48.8343 + 9.97477i 1.79035 + 0.365693i
\(745\) −5.74942 3.31943i −0.210642 0.121614i
\(746\) −44.6548 12.3770i −1.63493 0.453153i
\(747\) 2.86888 + 6.19119i 0.104967 + 0.226524i
\(748\) 22.9776 5.73597i 0.840145 0.209728i
\(749\) 0.613380 + 2.28916i 0.0224124 + 0.0836442i
\(750\) −25.7358 + 1.99801i −0.939739 + 0.0729569i
\(751\) 7.35037 4.24374i 0.268219 0.154856i −0.359859 0.933007i \(-0.617175\pi\)
0.628078 + 0.778151i \(0.283842\pi\)
\(752\) 23.2309 37.2247i 0.847144 1.35745i
\(753\) 16.8269 1.45176i 0.613207 0.0529051i
\(754\) 16.0536 + 0.137794i 0.584639 + 0.00501818i
\(755\) 2.70975 + 2.70975i 0.0986179 + 0.0986179i
\(756\) −1.40492 2.55453i −0.0510964 0.0929072i
\(757\) −15.2511 + 15.2511i −0.554309 + 0.554309i −0.927682 0.373372i \(-0.878201\pi\)
0.373372 + 0.927682i \(0.378201\pi\)
\(758\) 26.9957 + 27.4631i 0.980527 + 0.997505i
\(759\) −0.862335 9.99505i −0.0313008 0.362797i
\(760\) 9.79726 + 18.0258i 0.355384 + 0.653864i
\(761\) −1.63439 2.83084i −0.0592465 0.102618i 0.834881 0.550431i \(-0.185536\pi\)
−0.894127 + 0.447813i \(0.852203\pi\)
\(762\) −5.79670 + 6.77252i −0.209992 + 0.245342i
\(763\) −1.30643 + 0.350056i −0.0472959 + 0.0126729i
\(764\) 14.5919 24.3007i 0.527915 0.879170i
\(765\) −1.24774 + 13.8770i −0.0451123 + 0.501725i
\(766\) 5.56747 + 9.83718i 0.201161 + 0.355432i
\(767\) −7.98088 + 13.8233i −0.288173 + 0.499130i
\(768\) −19.9339 19.2520i −0.719301 0.694698i
\(769\) 19.1814 + 33.2232i 0.691701 + 1.19806i 0.971280 + 0.237938i \(0.0764716\pi\)
−0.279580 + 0.960123i \(0.590195\pi\)
\(770\) −0.799884 + 1.35838i −0.0288258 + 0.0489526i
\(771\) −4.28176 0.760304i −0.154204 0.0273817i
\(772\) −12.5537 22.6321i −0.451817 0.814549i
\(773\) −20.0548 20.0548i −0.721320