Properties

Label 966.2.s.a.97.16
Level $966$
Weight $2$
Character 966.97
Analytic conductor $7.714$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.s (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 97.16
Character \(\chi\) \(=\) 966.97
Dual form 966.2.s.a.727.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.959493 - 0.281733i) q^{2} +(0.755750 + 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.480377 - 3.34109i) q^{5} +(-0.540641 - 0.841254i) q^{6} +(-2.08326 - 1.63096i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +O(q^{10})\) \(q+(-0.959493 - 0.281733i) q^{2} +(0.755750 + 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.480377 - 3.34109i) q^{5} +(-0.540641 - 0.841254i) q^{6} +(-2.08326 - 1.63096i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +(-1.40221 + 3.07042i) q^{10} +(-0.0493299 - 0.168002i) q^{11} +(0.281733 + 0.959493i) q^{12} +(-2.65149 - 1.21089i) q^{13} +(1.53938 + 2.15181i) q^{14} +(2.55099 - 2.21045i) q^{15} +(0.415415 + 0.909632i) q^{16} +(0.603616 - 0.387921i) q^{17} +(0.142315 - 0.989821i) q^{18} +(-3.02233 - 1.94234i) q^{19} +(2.21045 - 2.55099i) q^{20} +(-0.506377 - 2.59684i) q^{21} +0.175095i q^{22} +(-3.94790 + 2.72288i) q^{23} -1.00000i q^{24} +(-6.13467 - 1.80130i) q^{25} +(2.20294 + 1.90885i) q^{26} +(-0.540641 + 0.841254i) q^{27} +(-0.870792 - 2.49834i) q^{28} +(1.49701 - 0.962071i) q^{29} +(-3.07042 + 1.40221i) q^{30} +(-3.42851 + 2.97082i) q^{31} +(-0.142315 - 0.989821i) q^{32} +(0.0727370 - 0.159272i) q^{33} +(-0.688455 + 0.202149i) q^{34} +(-6.44992 + 6.17690i) q^{35} +(-0.415415 + 0.909632i) q^{36} +(-7.95013 + 1.14306i) q^{37} +(2.35269 + 2.71515i) q^{38} +(-1.21089 - 2.65149i) q^{39} +(-2.83961 + 1.82491i) q^{40} +(7.90199 + 1.13614i) q^{41} +(-0.245750 + 2.63431i) q^{42} +(0.300840 + 0.260679i) q^{43} +(0.0493299 - 0.168002i) q^{44} +3.37545 q^{45} +(4.55511 - 1.50033i) q^{46} +1.90397i q^{47} +(-0.281733 + 0.959493i) q^{48} +(1.67997 + 6.79542i) q^{49} +(5.37869 + 3.45667i) q^{50} +(0.710217 + 0.102114i) q^{51} +(-1.57591 - 2.45217i) q^{52} +(-4.39772 + 2.00837i) q^{53} +(0.755750 - 0.654861i) q^{54} +(-0.585008 + 0.0841115i) q^{55} +(0.131654 + 2.64247i) q^{56} +(-1.01217 - 3.44713i) q^{57} +(-1.70742 + 0.501343i) q^{58} +(0.693372 + 0.316652i) q^{59} +(3.34109 - 0.480377i) q^{60} +(-8.23867 - 9.50793i) q^{61} +(4.12661 - 1.88456i) q^{62} +(1.31788 - 2.29417i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(-5.31942 + 8.27718i) q^{65} +(-0.114663 + 0.132328i) q^{66} +(2.74526 - 9.34950i) q^{67} +0.717520 q^{68} +(-4.76673 - 0.527508i) q^{69} +(7.92889 - 4.10954i) q^{70} +(-0.959115 - 0.281622i) q^{71} +(0.654861 - 0.755750i) q^{72} +(4.71790 - 7.34120i) q^{73} +(7.95013 + 1.14306i) q^{74} +(-3.45667 - 5.37869i) q^{75} +(-1.49244 - 3.26800i) q^{76} +(-0.171237 + 0.430448i) q^{77} +(0.414834 + 2.88523i) q^{78} +(-0.704052 - 0.321530i) q^{79} +(3.23872 - 0.950974i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(-7.26182 - 3.31636i) q^{82} +(-0.697867 - 4.85377i) q^{83} +(0.977967 - 2.45837i) q^{84} +(-1.00612 - 2.20308i) q^{85} +(-0.215212 - 0.334876i) q^{86} +(1.76139 + 0.253249i) q^{87} +(-0.0946634 + 0.147299i) q^{88} +(6.55539 - 7.56532i) q^{89} +(-3.23872 - 0.950974i) q^{90} +(3.54883 + 6.84707i) q^{91} +(-4.79329 + 0.156238i) q^{92} -4.53657 q^{93} +(0.536409 - 1.82684i) q^{94} +(-7.94138 + 9.16485i) q^{95} +(0.540641 - 0.841254i) q^{96} +(1.81184 - 12.6016i) q^{97} +(0.302570 - 6.99346i) q^{98} +(0.159272 - 0.0727370i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160q - 16q^{2} - 16q^{4} - 16q^{8} + 16q^{9} + O(q^{10}) \) \( 160q - 16q^{2} - 16q^{4} - 16q^{8} + 16q^{9} - 22q^{14} - 16q^{16} + 16q^{18} - 36q^{23} + 96q^{25} + 22q^{28} - 20q^{29} - 16q^{32} - 50q^{35} + 16q^{36} + 22q^{37} + 4q^{39} - 110q^{43} + 8q^{46} - 36q^{50} + 22q^{51} - 88q^{53} + 22q^{57} + 24q^{58} - 16q^{64} - 72q^{70} + 48q^{71} + 16q^{72} - 22q^{74} + 24q^{77} + 4q^{78} + 88q^{79} - 16q^{81} + 22q^{84} + 76q^{85} + 44q^{86} - 44q^{88} + 8q^{92} - 14q^{95} + 22q^{98} - 22q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.959493 0.281733i −0.678464 0.199215i
\(3\) 0.755750 + 0.654861i 0.436332 + 0.378084i
\(4\) 0.841254 + 0.540641i 0.420627 + 0.270320i
\(5\) 0.480377 3.34109i 0.214831 1.49418i −0.541893 0.840447i \(-0.682292\pi\)
0.756724 0.653734i \(-0.226799\pi\)
\(6\) −0.540641 0.841254i −0.220716 0.343440i
\(7\) −2.08326 1.63096i −0.787399 0.616443i
\(8\) −0.654861 0.755750i −0.231528 0.267198i
\(9\) 0.142315 + 0.989821i 0.0474383 + 0.329940i
\(10\) −1.40221 + 3.07042i −0.443418 + 0.970951i
\(11\) −0.0493299 0.168002i −0.0148735 0.0506546i 0.951722 0.306962i \(-0.0993123\pi\)
−0.966595 + 0.256307i \(0.917494\pi\)
\(12\) 0.281733 + 0.959493i 0.0813292 + 0.276982i
\(13\) −2.65149 1.21089i −0.735390 0.335841i 0.0122684 0.999925i \(-0.496095\pi\)
−0.747659 + 0.664083i \(0.768822\pi\)
\(14\) 1.53938 + 2.15181i 0.411417 + 0.575096i
\(15\) 2.55099 2.21045i 0.658664 0.570736i
\(16\) 0.415415 + 0.909632i 0.103854 + 0.227408i
\(17\) 0.603616 0.387921i 0.146398 0.0940845i −0.465391 0.885105i \(-0.654086\pi\)
0.611790 + 0.791021i \(0.290450\pi\)
\(18\) 0.142315 0.989821i 0.0335439 0.233303i
\(19\) −3.02233 1.94234i −0.693371 0.445603i 0.145912 0.989298i \(-0.453388\pi\)
−0.839283 + 0.543695i \(0.817025\pi\)
\(20\) 2.21045 2.55099i 0.494271 0.570420i
\(21\) −0.506377 2.59684i −0.110500 0.566677i
\(22\) 0.175095i 0.0373303i
\(23\) −3.94790 + 2.72288i −0.823194 + 0.567760i
\(24\) 1.00000i 0.204124i
\(25\) −6.13467 1.80130i −1.22693 0.360260i
\(26\) 2.20294 + 1.90885i 0.432031 + 0.374357i
\(27\) −0.540641 + 0.841254i −0.104046 + 0.161899i
\(28\) −0.870792 2.49834i −0.164564 0.472143i
\(29\) 1.49701 0.962071i 0.277988 0.178652i −0.394216 0.919018i \(-0.628984\pi\)
0.672204 + 0.740366i \(0.265348\pi\)
\(30\) −3.07042 + 1.40221i −0.560579 + 0.256008i
\(31\) −3.42851 + 2.97082i −0.615778 + 0.533575i −0.905942 0.423402i \(-0.860836\pi\)
0.290163 + 0.956977i \(0.406290\pi\)
\(32\) −0.142315 0.989821i −0.0251579 0.174977i
\(33\) 0.0727370 0.159272i 0.0126619 0.0277257i
\(34\) −0.688455 + 0.202149i −0.118069 + 0.0346682i
\(35\) −6.44992 + 6.17690i −1.09024 + 1.04409i
\(36\) −0.415415 + 0.909632i −0.0692358 + 0.151605i
\(37\) −7.95013 + 1.14306i −1.30699 + 0.187917i −0.760386 0.649471i \(-0.774990\pi\)
−0.546608 + 0.837389i \(0.684081\pi\)
\(38\) 2.35269 + 2.71515i 0.381657 + 0.440455i
\(39\) −1.21089 2.65149i −0.193898 0.424578i
\(40\) −2.83961 + 1.82491i −0.448982 + 0.288543i
\(41\) 7.90199 + 1.13614i 1.23408 + 0.177434i 0.728320 0.685237i \(-0.240302\pi\)
0.505764 + 0.862672i \(0.331211\pi\)
\(42\) −0.245750 + 2.63431i −0.0379200 + 0.406483i
\(43\) 0.300840 + 0.260679i 0.0458776 + 0.0397532i 0.677498 0.735525i \(-0.263064\pi\)
−0.631620 + 0.775278i \(0.717610\pi\)
\(44\) 0.0493299 0.168002i 0.00743677 0.0253273i
\(45\) 3.37545 0.503182
\(46\) 4.55511 1.50033i 0.671614 0.221212i
\(47\) 1.90397i 0.277722i 0.990312 + 0.138861i \(0.0443441\pi\)
−0.990312 + 0.138861i \(0.955656\pi\)
\(48\) −0.281733 + 0.959493i −0.0406646 + 0.138491i
\(49\) 1.67997 + 6.79542i 0.239996 + 0.970774i
\(50\) 5.37869 + 3.45667i 0.760661 + 0.488847i
\(51\) 0.710217 + 0.102114i 0.0994502 + 0.0142988i
\(52\) −1.57591 2.45217i −0.218540 0.340055i
\(53\) −4.39772 + 2.00837i −0.604074 + 0.275871i −0.693883 0.720088i \(-0.744101\pi\)
0.0898094 + 0.995959i \(0.471374\pi\)
\(54\) 0.755750 0.654861i 0.102844 0.0891153i
\(55\) −0.585008 + 0.0841115i −0.0788825 + 0.0113416i
\(56\) 0.131654 + 2.64247i 0.0175930 + 0.353115i
\(57\) −1.01217 3.44713i −0.134065 0.456583i
\(58\) −1.70742 + 0.501343i −0.224195 + 0.0658296i
\(59\) 0.693372 + 0.316652i 0.0902693 + 0.0412246i 0.460038 0.887899i \(-0.347836\pi\)
−0.369769 + 0.929124i \(0.620563\pi\)
\(60\) 3.34109 0.480377i 0.431333 0.0620163i
\(61\) −8.23867 9.50793i −1.05485 1.21737i −0.975380 0.220529i \(-0.929222\pi\)
−0.0794734 0.996837i \(-0.525324\pi\)
\(62\) 4.12661 1.88456i 0.524080 0.239339i
\(63\) 1.31788 2.29417i 0.166037 0.289038i
\(64\) −0.142315 + 0.989821i −0.0177894 + 0.123728i
\(65\) −5.31942 + 8.27718i −0.659793 + 1.02666i
\(66\) −0.114663 + 0.132328i −0.0141140 + 0.0162884i
\(67\) 2.74526 9.34950i 0.335387 1.14222i −0.603318 0.797501i \(-0.706155\pi\)
0.938705 0.344722i \(-0.112027\pi\)
\(68\) 0.717520 0.0870121
\(69\) −4.76673 0.527508i −0.573847 0.0635045i
\(70\) 7.92889 4.10954i 0.947684 0.491184i
\(71\) −0.959115 0.281622i −0.113826 0.0334223i 0.224323 0.974515i \(-0.427983\pi\)
−0.338150 + 0.941092i \(0.609801\pi\)
\(72\) 0.654861 0.755750i 0.0771761 0.0890659i
\(73\) 4.71790 7.34120i 0.552189 0.859222i −0.447191 0.894438i \(-0.647576\pi\)
0.999380 + 0.0352162i \(0.0112120\pi\)
\(74\) 7.95013 + 1.14306i 0.924184 + 0.132878i
\(75\) −3.45667 5.37869i −0.399142 0.621077i
\(76\) −1.49244 3.26800i −0.171195 0.374865i
\(77\) −0.171237 + 0.430448i −0.0195143 + 0.0490541i
\(78\) 0.414834 + 2.88523i 0.0469707 + 0.326688i
\(79\) −0.704052 0.321530i −0.0792121 0.0361749i 0.375415 0.926857i \(-0.377500\pi\)
−0.454627 + 0.890682i \(0.650227\pi\)
\(80\) 3.23872 0.950974i 0.362100 0.106322i
\(81\) −0.959493 + 0.281733i −0.106610 + 0.0313036i
\(82\) −7.26182 3.31636i −0.801934 0.366231i
\(83\) −0.697867 4.85377i −0.0766009 0.532771i −0.991603 0.129321i \(-0.958720\pi\)
0.915002 0.403450i \(-0.132189\pi\)
\(84\) 0.977967 2.45837i 0.106705 0.268230i
\(85\) −1.00612 2.20308i −0.109129 0.238958i
\(86\) −0.215212 0.334876i −0.0232069 0.0361106i
\(87\) 1.76139 + 0.253249i 0.188841 + 0.0271512i
\(88\) −0.0946634 + 0.147299i −0.0100912 + 0.0157021i
\(89\) 6.55539 7.56532i 0.694870 0.801922i −0.293180 0.956057i \(-0.594714\pi\)
0.988050 + 0.154135i \(0.0492590\pi\)
\(90\) −3.23872 0.950974i −0.341391 0.100241i
\(91\) 3.54883 + 6.84707i 0.372019 + 0.717768i
\(92\) −4.79329 + 0.156238i −0.499735 + 0.0162890i
\(93\) −4.53657 −0.470420
\(94\) 0.536409 1.82684i 0.0553264 0.188424i
\(95\) −7.94138 + 9.16485i −0.814769 + 0.940293i
\(96\) 0.540641 0.841254i 0.0551789 0.0858601i
\(97\) 1.81184 12.6016i 0.183964 1.27950i −0.663311 0.748344i \(-0.730849\pi\)
0.847275 0.531154i \(-0.178241\pi\)
\(98\) 0.302570 6.99346i 0.0305642 0.706446i
\(99\) 0.159272 0.0727370i 0.0160074 0.00731035i
\(100\) −4.18696 4.83200i −0.418696 0.483200i
\(101\) 5.81076 0.835461i 0.578192 0.0831314i 0.152986 0.988228i \(-0.451111\pi\)
0.425205 + 0.905097i \(0.360202\pi\)
\(102\) −0.652679 0.298069i −0.0646249 0.0295132i
\(103\) −16.8071 + 4.93501i −1.65605 + 0.486261i −0.970367 0.241636i \(-0.922316\pi\)
−0.685686 + 0.727897i \(0.740498\pi\)
\(104\) 0.821223 + 2.79683i 0.0805275 + 0.274251i
\(105\) −8.91954 + 0.444390i −0.870458 + 0.0433680i
\(106\) 4.78541 0.688038i 0.464800 0.0668281i
\(107\) −7.52361 + 6.51925i −0.727335 + 0.630240i −0.937725 0.347378i \(-0.887072\pi\)
0.210390 + 0.977618i \(0.432527\pi\)
\(108\) −0.909632 + 0.415415i −0.0875294 + 0.0399733i
\(109\) −6.72788 10.4688i −0.644414 1.00273i −0.997738 0.0672266i \(-0.978585\pi\)
0.353324 0.935501i \(-0.385051\pi\)
\(110\) 0.585008 + 0.0841115i 0.0557783 + 0.00801971i
\(111\) −6.75685 4.34237i −0.641332 0.412159i
\(112\) 0.618150 2.57253i 0.0584097 0.243081i
\(113\) 0.612677 2.08659i 0.0576358 0.196290i −0.925642 0.378400i \(-0.876475\pi\)
0.983278 + 0.182110i \(0.0582927\pi\)
\(114\) 3.59266i 0.336483i
\(115\) 7.20092 + 14.4983i 0.671489 + 1.35197i
\(116\) 1.77950 0.165223
\(117\) 0.821223 2.79683i 0.0759221 0.258567i
\(118\) −0.576074 0.499171i −0.0530319 0.0459524i
\(119\) −1.89017 0.176330i −0.173272 0.0161642i
\(120\) −3.34109 0.480377i −0.304999 0.0438522i
\(121\) 9.22800 5.93047i 0.838909 0.539134i
\(122\) 5.22625 + 11.4439i 0.473163 + 1.03608i
\(123\) 5.22792 + 6.03334i 0.471385 + 0.544008i
\(124\) −4.49039 + 0.645621i −0.403249 + 0.0579785i
\(125\) −1.95421 + 4.27911i −0.174789 + 0.382736i
\(126\) −1.91083 + 1.82995i −0.170231 + 0.163025i
\(127\) 1.71742 0.504281i 0.152397 0.0447477i −0.204644 0.978836i \(-0.565604\pi\)
0.357041 + 0.934089i \(0.383786\pi\)
\(128\) 0.415415 0.909632i 0.0367178 0.0804009i
\(129\) 0.0566509 + 0.394016i 0.00498784 + 0.0346912i
\(130\) 7.43590 6.44324i 0.652171 0.565110i
\(131\) 1.24037 0.566459i 0.108372 0.0494917i −0.360491 0.932763i \(-0.617391\pi\)
0.468863 + 0.883271i \(0.344664\pi\)
\(132\) 0.147299 0.0946634i 0.0128207 0.00823939i
\(133\) 3.12846 + 8.97569i 0.271271 + 0.778291i
\(134\) −5.26812 + 8.19735i −0.455096 + 0.708143i
\(135\) 2.55099 + 2.21045i 0.219555 + 0.190245i
\(136\) −0.688455 0.202149i −0.0590346 0.0173341i
\(137\) 1.34711i 0.115092i 0.998343 + 0.0575458i \(0.0183275\pi\)
−0.998343 + 0.0575458i \(0.981672\pi\)
\(138\) 4.42503 + 1.84908i 0.376684 + 0.157404i
\(139\) 10.2096i 0.865971i 0.901401 + 0.432985i \(0.142540\pi\)
−0.901401 + 0.432985i \(0.857460\pi\)
\(140\) −8.76550 + 1.70925i −0.740820 + 0.144458i
\(141\) −1.24683 + 1.43892i −0.105002 + 0.121179i
\(142\) 0.840922 + 0.540428i 0.0705686 + 0.0453517i
\(143\) −0.0726352 + 0.505189i −0.00607406 + 0.0422460i
\(144\) −0.841254 + 0.540641i −0.0701045 + 0.0450534i
\(145\) −2.49524 5.46381i −0.207218 0.453745i
\(146\) −6.59505 + 5.71464i −0.545810 + 0.472947i
\(147\) −3.18041 + 6.23578i −0.262316 + 0.514319i
\(148\) −7.30606 3.33657i −0.600555 0.274264i
\(149\) −2.67331 9.10445i −0.219006 0.745866i −0.993555 0.113352i \(-0.963841\pi\)
0.774549 0.632514i \(-0.217977\pi\)
\(150\) 1.80130 + 6.13467i 0.147076 + 0.500894i
\(151\) 1.27434 2.79041i 0.103704 0.227080i −0.850666 0.525706i \(-0.823801\pi\)
0.954370 + 0.298626i \(0.0965283\pi\)
\(152\) 0.511288 + 3.55609i 0.0414710 + 0.288437i
\(153\) 0.469876 + 0.542265i 0.0379872 + 0.0438396i
\(154\) 0.285572 0.364769i 0.0230120 0.0293939i
\(155\) 8.27881 + 12.8821i 0.664970 + 1.03471i
\(156\) 0.414834 2.88523i 0.0332133 0.231003i
\(157\) 7.29529 + 4.68840i 0.582227 + 0.374175i 0.798352 0.602191i \(-0.205705\pi\)
−0.216125 + 0.976366i \(0.569342\pi\)
\(158\) 0.584948 + 0.506860i 0.0465360 + 0.0403236i
\(159\) −4.63878 1.36207i −0.367879 0.108019i
\(160\) −3.37545 −0.266853
\(161\) 12.6654 + 0.766368i 0.998174 + 0.0603982i
\(162\) 1.00000 0.0785674
\(163\) −11.7623 3.45373i −0.921295 0.270517i −0.213507 0.976942i \(-0.568489\pi\)
−0.707788 + 0.706425i \(0.750307\pi\)
\(164\) 6.03334 + 5.22792i 0.471125 + 0.408232i
\(165\) −0.497201 0.319532i −0.0387070 0.0248755i
\(166\) −0.697867 + 4.85377i −0.0541650 + 0.376726i
\(167\) −8.33894 12.9756i −0.645287 1.00409i −0.997670 0.0682298i \(-0.978265\pi\)
0.352383 0.935856i \(-0.385371\pi\)
\(168\) −1.63096 + 2.08326i −0.125831 + 0.160727i
\(169\) −2.94907 3.40341i −0.226851 0.261800i
\(170\) 0.344680 + 2.39730i 0.0264357 + 0.183865i
\(171\) 1.49244 3.26800i 0.114130 0.249910i
\(172\) 0.112149 + 0.381943i 0.00855125 + 0.0291229i
\(173\) 1.20099 + 4.09019i 0.0913095 + 0.310971i 0.992466 0.122523i \(-0.0390985\pi\)
−0.901156 + 0.433495i \(0.857280\pi\)
\(174\) −1.61869 0.739231i −0.122713 0.0560410i
\(175\) 9.84229 + 13.7580i 0.744007 + 1.04000i
\(176\) 0.132328 0.114663i 0.00997459 0.00864303i
\(177\) 0.316652 + 0.693372i 0.0238011 + 0.0521170i
\(178\) −8.42125 + 5.41201i −0.631199 + 0.405647i
\(179\) 1.04406 7.26163i 0.0780371 0.542760i −0.912874 0.408241i \(-0.866142\pi\)
0.990911 0.134518i \(-0.0429487\pi\)
\(180\) 2.83961 + 1.82491i 0.211652 + 0.136020i
\(181\) 8.69371 10.0331i 0.646198 0.745752i −0.334260 0.942481i \(-0.608486\pi\)
0.980458 + 0.196728i \(0.0630317\pi\)
\(182\) −1.47604 7.56953i −0.109411 0.561091i
\(183\) 12.5808i 0.929999i
\(184\) 4.64314 + 1.20052i 0.342297 + 0.0885032i
\(185\) 27.1112i 1.99326i
\(186\) 4.35281 + 1.27810i 0.319163 + 0.0937148i
\(187\) −0.0949479 0.0822728i −0.00694328 0.00601638i
\(188\) −1.02936 + 1.60172i −0.0750739 + 0.116817i
\(189\) 2.49834 0.870792i 0.181728 0.0633408i
\(190\) 10.2017 6.55626i 0.740112 0.475641i
\(191\) 22.1512 10.1161i 1.60280 0.731975i 0.604874 0.796321i \(-0.293223\pi\)
0.997928 + 0.0643461i \(0.0204962\pi\)
\(192\) −0.755750 + 0.654861i −0.0545415 + 0.0472605i
\(193\) 3.16756 + 22.0309i 0.228006 + 1.58582i 0.706492 + 0.707721i \(0.250276\pi\)
−0.478487 + 0.878095i \(0.658814\pi\)
\(194\) −5.28872 + 11.5807i −0.379708 + 0.831445i
\(195\) −9.44055 + 2.77200i −0.676052 + 0.198507i
\(196\) −2.26060 + 6.62493i −0.161471 + 0.473209i
\(197\) −0.448906 + 0.982966i −0.0319832 + 0.0700334i −0.924949 0.380090i \(-0.875893\pi\)
0.892966 + 0.450124i \(0.148620\pi\)
\(198\) −0.173313 + 0.0249186i −0.0123168 + 0.00177089i
\(199\) 9.95858 + 11.4928i 0.705945 + 0.814704i 0.989543 0.144239i \(-0.0460735\pi\)
−0.283598 + 0.958943i \(0.591528\pi\)
\(200\) 2.65602 + 5.81588i 0.187809 + 0.411245i
\(201\) 8.19735 5.26812i 0.578197 0.371584i
\(202\) −5.81076 0.835461i −0.408843 0.0587828i
\(203\) −4.68776 0.437312i −0.329016 0.0306933i
\(204\) 0.542265 + 0.469876i 0.0379662 + 0.0328979i
\(205\) 7.59186 25.8555i 0.530239 1.80583i
\(206\) 17.5166 1.22044
\(207\) −3.25701 3.52021i −0.226378 0.244671i
\(208\) 2.91490i 0.202112i
\(209\) −0.177225 + 0.603574i −0.0122589 + 0.0417501i
\(210\) 8.68343 + 2.08653i 0.599214 + 0.143985i
\(211\) 13.9720 + 8.97924i 0.961870 + 0.618157i 0.924515 0.381145i \(-0.124470\pi\)
0.0373553 + 0.999302i \(0.488107\pi\)
\(212\) −4.78541 0.688038i −0.328663 0.0472546i
\(213\) −0.540428 0.840922i −0.0370295 0.0576191i
\(214\) 9.05554 4.13553i 0.619024 0.282699i
\(215\) 1.01547 0.879908i 0.0692544 0.0600093i
\(216\) 0.989821 0.142315i 0.0673488 0.00968330i
\(217\) 11.9878 0.597256i 0.813782 0.0405444i
\(218\) 3.50596 + 11.9402i 0.237453 + 0.808692i
\(219\) 8.37301 2.45854i 0.565796 0.166133i
\(220\) −0.537614 0.245520i −0.0362459 0.0165530i
\(221\) −2.07021 + 0.297651i −0.139257 + 0.0200222i
\(222\) 5.25977 + 6.07010i 0.353012 + 0.407398i
\(223\) 7.74915 3.53892i 0.518922 0.236984i −0.138697 0.990335i \(-0.544291\pi\)
0.657618 + 0.753351i \(0.271564\pi\)
\(224\) −1.31788 + 2.29417i −0.0880542 + 0.153286i
\(225\) 0.909913 6.32858i 0.0606608 0.421905i
\(226\) −1.17572 + 1.82945i −0.0782076 + 0.121693i
\(227\) 12.1934 14.0719i 0.809303 0.933986i −0.189550 0.981871i \(-0.560703\pi\)
0.998853 + 0.0478854i \(0.0152482\pi\)
\(228\) 1.01217 3.44713i 0.0670325 0.228292i
\(229\) −27.5786 −1.82245 −0.911223 0.411912i \(-0.864861\pi\)
−0.911223 + 0.411912i \(0.864861\pi\)
\(230\) −2.82459 15.9398i −0.186248 1.05104i
\(231\) −0.411296 + 0.213174i −0.0270613 + 0.0140258i
\(232\) −1.70742 0.501343i −0.112098 0.0329148i
\(233\) 12.1521 14.0243i 0.796112 0.918762i −0.202050 0.979375i \(-0.564760\pi\)
0.998161 + 0.0606133i \(0.0193056\pi\)
\(234\) −1.57591 + 2.45217i −0.103021 + 0.160303i
\(235\) 6.36132 + 0.914620i 0.414967 + 0.0596632i
\(236\) 0.412106 + 0.641250i 0.0268258 + 0.0417418i
\(237\) −0.321530 0.704052i −0.0208856 0.0457331i
\(238\) 1.76393 + 0.701711i 0.114339 + 0.0454851i
\(239\) −0.145711 1.01344i −0.00942527 0.0655542i 0.984566 0.175014i \(-0.0559970\pi\)
−0.993991 + 0.109460i \(0.965088\pi\)
\(240\) 3.07042 + 1.40221i 0.198195 + 0.0905124i
\(241\) 12.8561 3.77490i 0.828136 0.243163i 0.159920 0.987130i \(-0.448876\pi\)
0.668216 + 0.743967i \(0.267058\pi\)
\(242\) −10.5250 + 3.09042i −0.676573 + 0.198660i
\(243\) −0.909632 0.415415i −0.0583529 0.0266489i
\(244\) −1.79043 12.4527i −0.114621 0.797205i
\(245\) 23.5111 2.34858i 1.50207 0.150045i
\(246\) −3.31636 7.26182i −0.211444 0.462997i
\(247\) 5.66172 + 8.80981i 0.360247 + 0.560555i
\(248\) 4.49039 + 0.645621i 0.285140 + 0.0409970i
\(249\) 2.65113 4.12524i 0.168009 0.261427i
\(250\) 3.08061 3.55522i 0.194835 0.224852i
\(251\) −9.11406 2.67613i −0.575274 0.168916i −0.0188620 0.999822i \(-0.506004\pi\)
−0.556412 + 0.830906i \(0.687822\pi\)
\(252\) 2.34899 1.21748i 0.147972 0.0766940i
\(253\) 0.652200 + 0.528937i 0.0410035 + 0.0332540i
\(254\) −1.78993 −0.112310
\(255\) 0.682343 2.32385i 0.0427300 0.145525i
\(256\) −0.654861 + 0.755750i −0.0409288 + 0.0472343i
\(257\) 9.56557 14.8843i 0.596684 0.928458i −0.403227 0.915100i \(-0.632112\pi\)
0.999911 0.0133579i \(-0.00425209\pi\)
\(258\) 0.0566509 0.394016i 0.00352693 0.0245304i
\(259\) 18.4265 + 10.5850i 1.14497 + 0.657721i
\(260\) −8.94996 + 4.08731i −0.555053 + 0.253484i
\(261\) 1.16533 + 1.34486i 0.0721318 + 0.0832446i
\(262\) −1.34972 + 0.194060i −0.0833859 + 0.0119891i
\(263\) 23.9549 + 10.9398i 1.47712 + 0.674580i 0.981060 0.193707i \(-0.0620510\pi\)
0.496064 + 0.868286i \(0.334778\pi\)
\(264\) −0.168002 + 0.0493299i −0.0103398 + 0.00303605i
\(265\) 4.59759 + 15.6580i 0.282428 + 0.961861i
\(266\) −0.472986 9.49350i −0.0290006 0.582084i
\(267\) 9.90846 1.42462i 0.606388 0.0871854i
\(268\) 7.36418 6.38110i 0.449839 0.389788i
\(269\) −17.7376 + 8.10049i −1.08148 + 0.493896i −0.874786 0.484510i \(-0.838998\pi\)
−0.206695 + 0.978405i \(0.566271\pi\)
\(270\) −1.82491 2.83961i −0.111060 0.172813i
\(271\) −6.82203 0.980860i −0.414409 0.0595830i −0.0680427 0.997682i \(-0.521675\pi\)
−0.346366 + 0.938099i \(0.612585\pi\)
\(272\) 0.603616 + 0.387921i 0.0365996 + 0.0235211i
\(273\) −1.80185 + 7.49866i −0.109053 + 0.453840i
\(274\) 0.379526 1.29255i 0.0229280 0.0780855i
\(275\) 1.11950i 0.0675082i
\(276\) −3.72484 3.02086i −0.224209 0.181834i
\(277\) −26.5515 −1.59532 −0.797661 0.603106i \(-0.793930\pi\)
−0.797661 + 0.603106i \(0.793930\pi\)
\(278\) 2.87639 9.79608i 0.172514 0.587530i
\(279\) −3.42851 2.97082i −0.205259 0.177858i
\(280\) 8.89199 + 0.829515i 0.531398 + 0.0495730i
\(281\) 30.9627 + 4.45176i 1.84708 + 0.265570i 0.974741 0.223337i \(-0.0716950\pi\)
0.872336 + 0.488906i \(0.162604\pi\)
\(282\) 1.60172 1.02936i 0.0953809 0.0612976i
\(283\) 4.02130 + 8.80542i 0.239041 + 0.523428i 0.990690 0.136136i \(-0.0434684\pi\)
−0.751649 + 0.659564i \(0.770741\pi\)
\(284\) −0.654603 0.755452i −0.0388435 0.0448278i
\(285\) −12.0034 + 1.72583i −0.711020 + 0.102229i
\(286\) 0.212021 0.464262i 0.0125371 0.0274524i
\(287\) −14.6089 15.2547i −0.862339 0.900454i
\(288\) 0.959493 0.281733i 0.0565387 0.0166013i
\(289\) −6.84819 + 14.9954i −0.402834 + 0.882084i
\(290\) 0.854830 + 5.94548i 0.0501974 + 0.349130i
\(291\) 9.62158 8.33715i 0.564027 0.488732i
\(292\) 7.93790 3.62512i 0.464531 0.212144i
\(293\) −5.46673 + 3.51325i −0.319370 + 0.205246i −0.690496 0.723336i \(-0.742608\pi\)
0.371127 + 0.928582i \(0.378972\pi\)
\(294\) 4.80841 5.08716i 0.280432 0.296689i
\(295\) 1.39104 2.16451i 0.0809897 0.126022i
\(296\) 6.07010 + 5.25977i 0.352817 + 0.305718i
\(297\) 0.168002 + 0.0493299i 0.00974848 + 0.00286241i
\(298\) 9.48881i 0.549672i
\(299\) 13.7649 2.43920i 0.796046 0.141063i
\(300\) 6.39366i 0.369138i
\(301\) −0.201572 1.03372i −0.0116184 0.0595825i
\(302\) −2.00887 + 2.31836i −0.115597 + 0.133406i
\(303\) 4.93859 + 3.17384i 0.283714 + 0.182332i
\(304\) 0.511288 3.55609i 0.0293244 0.203956i
\(305\) −35.7245 + 22.9588i −2.04558 + 1.31462i
\(306\) −0.298069 0.652679i −0.0170394 0.0373112i
\(307\) 5.03113 4.35950i 0.287142 0.248810i −0.499364 0.866392i \(-0.666433\pi\)
0.786506 + 0.617582i \(0.211888\pi\)
\(308\) −0.376771 + 0.269538i −0.0214685 + 0.0153584i
\(309\) −15.9337 7.27668i −0.906437 0.413956i
\(310\) −4.31416 14.6927i −0.245028 0.834488i
\(311\) 7.13823 + 24.3106i 0.404772 + 1.37853i 0.869876 + 0.493270i \(0.164199\pi\)
−0.465104 + 0.885256i \(0.653983\pi\)
\(312\) −1.21089 + 2.65149i −0.0685534 + 0.150111i
\(313\) −1.31275 9.13040i −0.0742012 0.516081i −0.992696 0.120647i \(-0.961503\pi\)
0.918494 0.395434i \(-0.129406\pi\)
\(314\) −5.67890 6.55380i −0.320479 0.369852i
\(315\) −7.03195 5.50521i −0.396205 0.310183i
\(316\) −0.418454 0.651128i −0.0235399 0.0366288i
\(317\) 3.08917 21.4856i 0.173505 1.20675i −0.697902 0.716193i \(-0.745883\pi\)
0.871407 0.490561i \(-0.163208\pi\)
\(318\) 4.06714 + 2.61379i 0.228074 + 0.146574i
\(319\) −0.235478 0.204042i −0.0131842 0.0114242i
\(320\) 3.23872 + 0.950974i 0.181050 + 0.0531611i
\(321\) −9.95517 −0.555643
\(322\) −11.9365 4.30358i −0.665193 0.239829i
\(323\) −2.57780 −0.143433
\(324\) −0.959493 0.281733i −0.0533052 0.0156518i
\(325\) 14.0848 + 12.2046i 0.781285 + 0.676987i
\(326\) 10.3128 + 6.62765i 0.571175 + 0.367072i
\(327\) 1.77100 12.3176i 0.0979368 0.681165i
\(328\) −4.31607 6.71594i −0.238315 0.370826i
\(329\) 3.10528 3.96646i 0.171200 0.218678i
\(330\) 0.387038 + 0.446666i 0.0213058 + 0.0245882i
\(331\) 4.97114 + 34.5750i 0.273238 + 1.90042i 0.413841 + 0.910349i \(0.364187\pi\)
−0.140602 + 0.990066i \(0.544904\pi\)
\(332\) 2.03706 4.46055i 0.111798 0.244804i
\(333\) −2.26284 7.70654i −0.124003 0.422316i
\(334\) 4.34549 + 14.7994i 0.237775 + 0.809787i
\(335\) −29.9188 13.6635i −1.63464 0.746514i
\(336\) 2.15181 1.53938i 0.117391 0.0839802i
\(337\) −18.5963 + 16.1138i −1.01301 + 0.877774i −0.992528 0.122016i \(-0.961064\pi\)
−0.0204772 + 0.999790i \(0.506519\pi\)
\(338\) 1.87076 + 4.09639i 0.101756 + 0.222814i
\(339\) 1.82945 1.17572i 0.0993623 0.0638563i
\(340\) 0.344680 2.39730i 0.0186929 0.130012i
\(341\) 0.668233 + 0.429447i 0.0361868 + 0.0232559i
\(342\) −2.35269 + 2.71515i −0.127219 + 0.146818i
\(343\) 7.58320 16.8966i 0.409454 0.912331i
\(344\) 0.398068i 0.0214624i
\(345\) −4.05228 + 15.6727i −0.218167 + 0.843789i
\(346\) 4.26287i 0.229173i
\(347\) −12.2942 3.60992i −0.659989 0.193790i −0.0654488 0.997856i \(-0.520848\pi\)
−0.594541 + 0.804066i \(0.702666\pi\)
\(348\) 1.34486 + 1.16533i 0.0720919 + 0.0624680i
\(349\) 5.27964 8.21528i 0.282613 0.439754i −0.670705 0.741725i \(-0.734008\pi\)
0.953317 + 0.301971i \(0.0976445\pi\)
\(350\) −5.56754 15.9736i −0.297598 0.853823i
\(351\) 2.45217 1.57591i 0.130887 0.0841161i
\(352\) −0.159272 + 0.0727370i −0.00848922 + 0.00387690i
\(353\) 8.07492 6.99695i 0.429784 0.372410i −0.412938 0.910759i \(-0.635497\pi\)
0.842722 + 0.538349i \(0.180952\pi\)
\(354\) −0.108480 0.754497i −0.00576566 0.0401011i
\(355\) −1.40166 + 3.06921i −0.0743924 + 0.162897i
\(356\) 9.60486 2.82024i 0.509057 0.149473i
\(357\) −1.31303 1.37106i −0.0694927 0.0725642i
\(358\) −3.04761 + 6.67334i −0.161071 + 0.352697i
\(359\) 12.6924 1.82489i 0.669879 0.0963141i 0.201020 0.979587i \(-0.435574\pi\)
0.468859 + 0.883273i \(0.344665\pi\)
\(360\) −2.21045 2.55099i −0.116501 0.134449i
\(361\) −2.53105 5.54222i −0.133213 0.291696i
\(362\) −11.1682 + 7.17736i −0.586987 + 0.377234i
\(363\) 10.8577 + 1.56110i 0.569881 + 0.0819365i
\(364\) −0.716336 + 7.67876i −0.0375462 + 0.402477i
\(365\) −22.2613 19.2895i −1.16521 1.00966i
\(366\) −3.54442 + 12.0712i −0.185270 + 0.630971i
\(367\) −30.1613 −1.57441 −0.787205 0.616692i \(-0.788472\pi\)
−0.787205 + 0.616692i \(0.788472\pi\)
\(368\) −4.11684 2.46001i −0.214605 0.128237i
\(369\) 7.98325i 0.415591i
\(370\) 7.63812 26.0130i 0.397087 1.35235i
\(371\) 12.4372 + 2.98852i 0.645706 + 0.155156i
\(372\) −3.81640 2.45265i −0.197871 0.127164i
\(373\) 17.7185 + 2.54753i 0.917429 + 0.131906i 0.584824 0.811160i \(-0.301163\pi\)
0.332605 + 0.943066i \(0.392073\pi\)
\(374\) 0.0679229 + 0.105690i 0.00351221 + 0.00546510i
\(375\) −4.27911 + 1.95421i −0.220972 + 0.100915i
\(376\) 1.43892 1.24683i 0.0742067 0.0643004i
\(377\) −5.13427 + 0.738197i −0.264428 + 0.0380191i
\(378\) −2.64247 + 0.131654i −0.135914 + 0.00677153i
\(379\) 6.29122 + 21.4259i 0.323158 + 1.10058i 0.947588 + 0.319495i \(0.103513\pi\)
−0.624430 + 0.781081i \(0.714669\pi\)
\(380\) −11.6356 + 3.41652i −0.596894 + 0.175264i
\(381\) 1.62818 + 0.743563i 0.0834140 + 0.0380939i
\(382\) −24.1039 + 3.46562i −1.23326 + 0.177317i
\(383\) −2.39398 2.76280i −0.122326 0.141172i 0.691283 0.722584i \(-0.257046\pi\)
−0.813609 + 0.581412i \(0.802500\pi\)
\(384\) 0.909632 0.415415i 0.0464195 0.0211991i
\(385\) 1.35591 + 0.778896i 0.0691035 + 0.0396962i
\(386\) 3.16756 22.0309i 0.161224 1.12134i
\(387\) −0.215212 + 0.334876i −0.0109398 + 0.0170227i
\(388\) 8.33715 9.62158i 0.423255 0.488462i
\(389\) 1.79388 6.10939i 0.0909532 0.309758i −0.901434 0.432917i \(-0.857484\pi\)
0.992387 + 0.123159i \(0.0393025\pi\)
\(390\) 9.83910 0.498222
\(391\) −1.32675 + 3.17505i −0.0670968 + 0.160569i
\(392\) 4.03549 5.71969i 0.203823 0.288888i
\(393\) 1.30836 + 0.384170i 0.0659981 + 0.0193788i
\(394\) 0.707655 0.816678i 0.0356512 0.0411436i
\(395\) −1.41247 + 2.19785i −0.0710692 + 0.110586i
\(396\) 0.173313 + 0.0249186i 0.00870929 + 0.00125221i
\(397\) 16.0249 + 24.9352i 0.804264 + 1.25146i 0.964422 + 0.264368i \(0.0851635\pi\)
−0.160157 + 0.987091i \(0.551200\pi\)
\(398\) −6.31729 13.8329i −0.316657 0.693382i
\(399\) −3.51350 + 8.83208i −0.175895 + 0.442157i
\(400\) −0.909913 6.32858i −0.0454956 0.316429i
\(401\) 27.1436 + 12.3961i 1.35549 + 0.619029i 0.954817 0.297194i \(-0.0960508\pi\)
0.400668 + 0.916223i \(0.368778\pi\)
\(402\) −9.34950 + 2.74526i −0.466311 + 0.136921i
\(403\) 12.6880 3.72553i 0.632034 0.185582i
\(404\) 5.34000 + 2.43870i 0.265675 + 0.121330i
\(405\) 0.480377 + 3.34109i 0.0238701 + 0.166020i
\(406\) 4.37467 + 1.74029i 0.217111 + 0.0863693i
\(407\) 0.584216 + 1.27925i 0.0289585 + 0.0634103i
\(408\) −0.387921 0.603616i −0.0192049 0.0298835i
\(409\) −2.25959 0.324880i −0.111730 0.0160643i 0.0862232 0.996276i \(-0.472520\pi\)
−0.197953 + 0.980212i \(0.563429\pi\)
\(410\) −14.5687 + 22.6693i −0.719496 + 1.11956i
\(411\) −0.882171 + 1.01808i −0.0435143 + 0.0502182i
\(412\) −16.8071 4.93501i −0.828026 0.243130i
\(413\) −0.928031 1.79053i −0.0456654 0.0881062i
\(414\) 2.13332 + 4.29522i 0.104847 + 0.211099i
\(415\) −16.5521 −0.812513
\(416\) −0.821223 + 2.79683i −0.0402637 + 0.137126i
\(417\) −6.68589 + 7.71593i −0.327410 + 0.377851i
\(418\) 0.340093 0.529195i 0.0166345 0.0258838i
\(419\) −3.00492 + 20.8996i −0.146800 + 1.02101i 0.774615 + 0.632433i \(0.217944\pi\)
−0.921415 + 0.388581i \(0.872965\pi\)
\(420\) −7.74385 4.44842i −0.377861 0.217061i
\(421\) −23.0132 + 10.5098i −1.12159 + 0.512214i −0.887872 0.460090i \(-0.847817\pi\)
−0.233720 + 0.972304i \(0.575090\pi\)
\(422\) −10.8763 12.5519i −0.529448 0.611016i
\(423\) −1.88459 + 0.270962i −0.0916317 + 0.0131746i
\(424\) 4.39772 + 2.00837i 0.213572 + 0.0975352i
\(425\) −4.40175 + 1.29247i −0.213516 + 0.0626940i
\(426\) 0.281622 + 0.959115i 0.0136446 + 0.0464693i
\(427\) 1.65631 + 33.2444i 0.0801544 + 1.60881i
\(428\) −9.85384 + 1.41677i −0.476303 + 0.0684821i
\(429\) −0.385723 + 0.334231i −0.0186229 + 0.0161368i
\(430\) −1.22223 + 0.558175i −0.0589413 + 0.0269176i
\(431\) 14.6033 + 22.7232i 0.703416 + 1.09454i 0.990617 + 0.136666i \(0.0436388\pi\)
−0.287201 + 0.957870i \(0.592725\pi\)
\(432\) −0.989821 0.142315i −0.0476228 0.00684713i
\(433\) −24.2781 15.6026i −1.16673 0.749813i −0.193831 0.981035i \(-0.562091\pi\)
−0.972901 + 0.231222i \(0.925728\pi\)
\(434\) −11.6704 2.80428i −0.560199 0.134610i
\(435\) 1.69226 5.76330i 0.0811376 0.276329i
\(436\) 12.4443i 0.595972i
\(437\) 17.2206 0.561310i 0.823774 0.0268511i
\(438\) −8.72650 −0.416968
\(439\) 9.50238 32.3621i 0.453524 1.54456i −0.342633 0.939469i \(-0.611319\pi\)
0.796157 0.605090i \(-0.206863\pi\)
\(440\) 0.446666 + 0.387038i 0.0212940 + 0.0184513i
\(441\) −6.48717 + 2.62996i −0.308913 + 0.125236i
\(442\) 2.07021 + 0.297651i 0.0984699 + 0.0141578i
\(443\) −4.62981 + 2.97540i −0.219969 + 0.141366i −0.645985 0.763350i \(-0.723553\pi\)
0.426016 + 0.904716i \(0.359917\pi\)
\(444\) −3.33657 7.30606i −0.158346 0.346730i
\(445\) −22.1274 25.5364i −1.04894 1.21054i
\(446\) −8.43229 + 1.21238i −0.399280 + 0.0574079i
\(447\) 3.94180 8.63133i 0.186441 0.408248i
\(448\) 1.91083 1.82995i 0.0902784 0.0864570i
\(449\) −5.27806 + 1.54978i −0.249087 + 0.0731386i −0.403893 0.914806i \(-0.632343\pi\)
0.154806 + 0.987945i \(0.450525\pi\)
\(450\) −2.65602 + 5.81588i −0.125206 + 0.274163i
\(451\) −0.198931 1.38360i −0.00936731 0.0651511i
\(452\) 1.64351 1.42411i 0.0773042 0.0669845i
\(453\) 2.79041 1.27434i 0.131105 0.0598736i
\(454\) −15.6640 + 10.0666i −0.735147 + 0.472450i
\(455\) 24.5815 8.56781i 1.15240 0.401665i
\(456\) −1.94234 + 3.02233i −0.0909582 + 0.141534i
\(457\) −17.4633 15.1320i −0.816899 0.707847i 0.142532 0.989790i \(-0.454476\pi\)
−0.959431 + 0.281943i \(0.909021\pi\)
\(458\) 26.4615 + 7.76980i 1.23646 + 0.363059i
\(459\) 0.717520i 0.0334910i
\(460\) −1.78058 + 16.0899i −0.0830198 + 0.750194i
\(461\) 13.6374i 0.635157i 0.948232 + 0.317579i \(0.102870\pi\)
−0.948232 + 0.317579i \(0.897130\pi\)
\(462\) 0.454693 0.0886640i 0.0211543 0.00412502i
\(463\) −25.9005 + 29.8907i −1.20370 + 1.38914i −0.303973 + 0.952681i \(0.598313\pi\)
−0.899724 + 0.436460i \(0.856232\pi\)
\(464\) 1.49701 + 0.962071i 0.0694970 + 0.0446630i
\(465\) −2.17926 + 15.1571i −0.101061 + 0.702893i
\(466\) −15.6110 + 10.0326i −0.723164 + 0.464750i
\(467\) −8.39903 18.3913i −0.388661 0.851048i −0.998295 0.0583657i \(-0.981411\pi\)
0.609634 0.792683i \(-0.291316\pi\)
\(468\) 2.20294 1.90885i 0.101831 0.0882368i
\(469\) −20.9677 + 15.0001i −0.968199 + 0.692639i
\(470\) −5.84597 2.66976i −0.269654 0.123147i
\(471\) 2.44316 + 8.32065i 0.112575 + 0.383395i
\(472\) −0.214752 0.731379i −0.00988477 0.0336644i
\(473\) 0.0289543 0.0634010i 0.00133132 0.00291518i
\(474\) 0.110151 + 0.766119i 0.00505941 + 0.0351890i
\(475\) 15.0423 + 17.3597i 0.690188 + 0.796519i
\(476\) −1.49478 1.17024i −0.0685133 0.0536380i
\(477\) −2.61379 4.06714i −0.119677 0.186221i
\(478\) −0.145711 + 1.01344i −0.00666467 + 0.0463538i
\(479\) −27.7805 17.8535i −1.26932 0.815746i −0.279793 0.960060i \(-0.590266\pi\)
−0.989532 + 0.144315i \(0.953902\pi\)
\(480\) −2.55099 2.21045i −0.116436 0.100893i
\(481\) 22.4638 + 6.59597i 1.02426 + 0.300750i
\(482\) −13.3989 −0.610302
\(483\) 9.07002 + 8.87326i 0.412700 + 0.403747i
\(484\) 10.9693 0.498606
\(485\) −41.2327 12.1070i −1.87228 0.549751i
\(486\) 0.755750 + 0.654861i 0.0342815 + 0.0297051i
\(487\) 28.0931 + 18.0544i 1.27302 + 0.818122i 0.990010 0.140995i \(-0.0450301\pi\)
0.283012 + 0.959116i \(0.408666\pi\)
\(488\) −1.79043 + 12.4527i −0.0810492 + 0.563709i
\(489\) −6.62765 10.3128i −0.299713 0.466362i
\(490\) −23.2204 4.37041i −1.04899 0.197435i
\(491\) −16.5456 19.0946i −0.746691 0.861727i 0.247553 0.968874i \(-0.420374\pi\)
−0.994243 + 0.107148i \(0.965828\pi\)
\(492\) 1.13614 + 7.90199i 0.0512209 + 0.356249i
\(493\) 0.530413 1.16144i 0.0238886 0.0523088i
\(494\) −2.95037 10.0480i −0.132743 0.452083i
\(495\) −0.166511 0.567083i −0.00748410 0.0254885i
\(496\) −4.12661 1.88456i −0.185290 0.0846192i
\(497\) 1.53878 + 2.15097i 0.0690236 + 0.0964840i
\(498\) −3.70596 + 3.21123i −0.166068 + 0.143899i
\(499\) −8.25849 18.0836i −0.369701 0.809532i −0.999464 0.0327447i \(-0.989575\pi\)
0.629763 0.776787i \(-0.283152\pi\)
\(500\) −3.95745 + 2.54330i −0.176982 + 0.113740i
\(501\) 2.19509 15.2672i 0.0980694 0.682087i
\(502\) 7.99092 + 5.13545i 0.356652 + 0.229207i
\(503\) 18.8366 21.7386i 0.839882 0.969276i −0.159958 0.987124i \(-0.551136\pi\)
0.999841 + 0.0178479i \(0.00568147\pi\)
\(504\) −2.59684 + 0.506377i −0.115672 + 0.0225558i
\(505\) 19.8156i 0.881783i
\(506\) −0.476763 0.691257i −0.0211947 0.0307301i
\(507\) 4.50335i 0.200001i
\(508\) 1.71742 + 0.504281i 0.0761983 + 0.0223738i
\(509\) −25.9298 22.4683i −1.14932 0.995890i −0.999975 0.00710424i \(-0.997739\pi\)
−0.149343 0.988785i \(-0.547716\pi\)
\(510\) −1.30941 + 2.03748i −0.0579815 + 0.0902209i
\(511\) −21.8018 + 7.59896i −0.964455 + 0.336158i
\(512\) 0.841254 0.540641i 0.0371785 0.0238932i
\(513\) 3.26800 1.49244i 0.144286 0.0658930i
\(514\) −13.3715 + 11.5865i −0.589791 + 0.511057i
\(515\) 8.41459 + 58.5247i 0.370791 + 2.57891i
\(516\) −0.165363 + 0.362095i −0.00727971 + 0.0159403i
\(517\) 0.319870 0.0939224i 0.0140679 0.00413070i
\(518\) −14.6979 15.3476i −0.645791 0.674335i
\(519\) −1.77086 + 3.87764i −0.0777321 + 0.170210i
\(520\) 9.73895 1.40025i 0.427081 0.0614050i
\(521\) −28.1434 32.4792i −1.23298 1.42294i −0.871382 0.490606i \(-0.836776\pi\)
−0.361602 0.932333i \(-0.617770\pi\)
\(522\) −0.739231 1.61869i −0.0323553 0.0708482i
\(523\) 23.7653 15.2730i 1.03918 0.667842i 0.0943978 0.995535i \(-0.469907\pi\)
0.944784 + 0.327693i \(0.106271\pi\)
\(524\) 1.34972 + 0.194060i 0.0589627 + 0.00847756i
\(525\) −1.57124 + 16.8429i −0.0685745 + 0.735084i
\(526\) −19.9025 17.2456i −0.867789 0.751943i
\(527\) −0.917061 + 3.12322i −0.0399478 + 0.136050i
\(528\) 0.175095 0.00762003
\(529\) 8.17183 21.4993i 0.355297 0.934754i
\(530\) 16.3190i 0.708852i
\(531\) −0.214752 + 0.731379i −0.00931945 + 0.0317391i
\(532\) −2.22080 + 9.24220i −0.0962839 + 0.400700i
\(533\) −19.5763 12.5809i −0.847944 0.544940i
\(534\) −9.90846 1.42462i −0.428781 0.0616494i
\(535\) 18.1672 + 28.2688i 0.785438 + 1.22217i
\(536\) −8.86365 + 4.04789i −0.382851 + 0.174842i
\(537\) 5.54441 4.80426i 0.239259 0.207319i
\(538\) 19.3013 2.77511i 0.832137 0.119643i
\(539\) 1.05877 0.617456i 0.0456046 0.0265957i
\(540\) 0.950974 + 3.23872i 0.0409234 + 0.139372i
\(541\) 27.1267 7.96511i 1.16627 0.342447i 0.359402 0.933183i \(-0.382981\pi\)
0.806865 + 0.590736i \(0.201163\pi\)
\(542\) 6.26935 + 2.86312i 0.269292 + 0.122981i
\(543\) 13.1405 1.88932i 0.563914 0.0810786i
\(544\) −0.469876 0.542265i −0.0201457 0.0232494i
\(545\) −38.2091 + 17.4495i −1.63670 + 0.747455i
\(546\) 3.84148 6.68727i 0.164400 0.286189i
\(547\) 0.0158180 0.110017i 0.000676330 0.00470398i −0.989480 0.144666i \(-0.953789\pi\)
0.990157 + 0.139962i \(0.0446982\pi\)
\(548\) −0.728304 + 1.13326i −0.0311116 + 0.0484106i
\(549\) 8.23867 9.50793i 0.351618 0.405789i
\(550\) 0.315399 1.07415i 0.0134486 0.0458019i
\(551\) −6.39314 −0.272357
\(552\) 2.72288 + 3.94790i 0.115894 + 0.168034i
\(553\) 0.942326 + 1.81811i 0.0400718 + 0.0773139i
\(554\) 25.4759 + 7.48041i 1.08237 + 0.317812i
\(555\) −17.7541 + 20.4893i −0.753619 + 0.869722i
\(556\) −5.51975 + 8.58890i −0.234090 + 0.364250i
\(557\) 10.0730 + 1.44828i 0.426807 + 0.0613656i 0.352372 0.935860i \(-0.385375\pi\)
0.0744357 + 0.997226i \(0.476284\pi\)
\(558\) 2.45265 + 3.81640i 0.103829 + 0.161561i
\(559\) −0.482018 1.05547i −0.0203872 0.0446417i
\(560\) −8.29810 3.30108i −0.350659 0.139496i
\(561\) −0.0178796 0.124355i −0.000754877 0.00525028i
\(562\) −28.4543 12.9946i −1.20027 0.548145i
\(563\) −18.5639 + 5.45087i −0.782377 + 0.229727i −0.648443 0.761264i \(-0.724579\pi\)
−0.133934 + 0.990990i \(0.542761\pi\)
\(564\) −1.82684 + 0.536409i −0.0769239 + 0.0225869i
\(565\) −6.67716 3.04936i −0.280910 0.128287i
\(566\) −1.37764 9.58167i −0.0579064 0.402748i
\(567\) 2.45837 + 0.977967i 0.103242 + 0.0410707i
\(568\) 0.415252 + 0.909274i 0.0174236 + 0.0381523i
\(569\) 10.2664 + 15.9748i 0.430390 + 0.669700i 0.986935 0.161118i \(-0.0515098\pi\)
−0.556545 + 0.830817i \(0.687873\pi\)
\(570\) 12.0034 + 1.72583i 0.502767 + 0.0722870i
\(571\) 22.9563 35.7207i 0.960690 1.49486i 0.0942708 0.995547i \(-0.469948\pi\)
0.866420 0.499317i \(-0.166416\pi\)
\(572\) −0.334231 + 0.385723i −0.0139749 + 0.0161279i
\(573\) 23.3654 + 6.86069i 0.976102 + 0.286609i
\(574\) 9.71945 + 18.7526i 0.405682 + 0.782717i
\(575\) 29.1238 9.59262i 1.21455 0.400040i
\(576\) −1.00000 −0.0416667
\(577\) 12.3976 42.2222i 0.516117 1.75773i −0.126936 0.991911i \(-0.540514\pi\)
0.643053 0.765822i \(-0.277668\pi\)
\(578\) 10.7955 12.4587i 0.449033 0.518212i
\(579\) −12.0333 + 18.7241i −0.500085 + 0.778148i
\(580\) 0.854830 5.94548i 0.0354949 0.246872i
\(581\) −6.46244 + 11.2499i −0.268107 + 0.466723i
\(582\) −11.5807 + 5.28872i −0.480035 + 0.219225i
\(583\) 0.554350 + 0.639754i 0.0229588 + 0.0264959i
\(584\) −8.63768 + 1.24191i −0.357430 + 0.0513906i
\(585\) −8.94996 4.08731i −0.370035 0.168989i
\(586\) 6.23508 1.83079i 0.257569 0.0756291i
\(587\) −10.0959 34.3833i −0.416701 1.41915i −0.854205 0.519936i \(-0.825956\pi\)
0.437505 0.899216i \(-0.355862\pi\)
\(588\) −6.04685 + 3.52641i −0.249368 + 0.145427i
\(589\) 16.1324 2.31949i 0.664725 0.0955731i
\(590\) −1.94451 + 1.68493i −0.0800542 + 0.0693674i
\(591\) −0.982966 + 0.448906i −0.0404338 + 0.0184655i
\(592\) −4.34237 6.75685i −0.178470 0.277705i
\(593\) −31.1529 4.47911i −1.27930 0.183935i −0.531042 0.847346i \(-0.678199\pi\)
−0.748256 + 0.663411i \(0.769108\pi\)
\(594\) −0.147299 0.0946634i −0.00604376 0.00388409i
\(595\) −1.49713 + 6.23053i −0.0613763 + 0.255427i
\(596\) 2.67331 9.10445i 0.109503 0.372933i
\(597\) 15.2072i 0.622388i
\(598\) −13.8946 1.53763i −0.568191 0.0628785i
\(599\) 28.8731 1.17972 0.589861 0.807505i \(-0.299182\pi\)
0.589861 + 0.807505i \(0.299182\pi\)
\(600\) −1.80130 + 6.13467i −0.0735378 + 0.250447i
\(601\) −4.43864 3.84610i −0.181056 0.156886i 0.559618 0.828751i \(-0.310948\pi\)
−0.740674 + 0.671865i \(0.765493\pi\)
\(602\) −0.0978250 + 1.04864i −0.00398705 + 0.0427392i
\(603\) 9.64503 + 1.38675i 0.392776 + 0.0564726i
\(604\) 2.58065 1.65848i 0.105005 0.0674827i
\(605\) −15.3813 33.6805i −0.625341 1.36931i
\(606\) −3.84437 4.43663i −0.156167 0.180226i
\(607\) 2.29623 0.330148i 0.0932011 0.0134003i −0.0955565 0.995424i \(-0.530463\pi\)
0.188758 + 0.982024i \(0.439554\pi\)
\(608\) −1.49244 + 3.26800i −0.0605266 + 0.132535i
\(609\) −3.25640 3.40033i −0.131956 0.137788i
\(610\) 40.7457 11.9640i 1.64974 0.484409i
\(611\) 2.30550 5.04834i 0.0932705 0.204234i
\(612\) 0.102114 + 0.710217i 0.00412770 + 0.0287088i
\(613\) 28.1549 24.3963i 1.13716 0.985358i 0.137178 0.990546i \(-0.456197\pi\)
0.999987 + 0.00518796i \(0.00165139\pi\)
\(614\) −6.05555 + 2.76548i −0.244382 + 0.111606i
\(615\) 22.6693 14.5687i 0.914115 0.587466i
\(616\) 0.437447 0.152471i 0.0176252 0.00614324i
\(617\) −25.0502 + 38.9789i −1.00848 + 1.56923i −0.200784 + 0.979636i \(0.564349\pi\)
−0.807699 + 0.589595i \(0.799287\pi\)
\(618\) 13.2382 + 11.4710i 0.532518 + 0.461430i
\(619\) 2.67744 + 0.786166i 0.107615 + 0.0315987i 0.335097 0.942184i \(-0.391231\pi\)
−0.227482 + 0.973782i \(0.573049\pi\)
\(620\) 15.3130i 0.614983i
\(621\) −0.156238 4.79329i −0.00626962 0.192348i
\(622\) 25.3369i 1.01592i
\(623\) −25.9953 + 5.06901i −1.04148 + 0.203086i
\(624\) 1.90885 2.20294i 0.0764153 0.0881880i
\(625\) −13.5353 8.69860i −0.541411 0.347944i
\(626\) −1.31275 + 9.13040i −0.0524682 + 0.364924i
\(627\) −0.529195 + 0.340093i −0.0211340 + 0.0135820i
\(628\) 3.60245 + 7.88826i 0.143753 + 0.314776i
\(629\) −4.35541 + 3.77399i −0.173662 + 0.150479i
\(630\) 5.19611 + 7.26334i 0.207018 + 0.289378i
\(631\) −2.08583 0.952569i −0.0830358 0.0379212i 0.373464 0.927645i \(-0.378170\pi\)
−0.456500 + 0.889723i \(0.650897\pi\)
\(632\) 0.218060 + 0.742645i 0.00867397 + 0.0295408i
\(633\) 4.67916 + 15.9358i 0.185980 + 0.633389i
\(634\) −9.01724 + 19.7450i −0.358120 + 0.784174i
\(635\) −0.859839 5.98031i −0.0341217 0.237321i
\(636\) −3.16600 3.65376i −0.125540 0.144881i
\(637\) 3.77411 20.0522i 0.149536 0.794498i
\(638\) 0.168454 + 0.262119i 0.00666914 + 0.0103774i
\(639\) 0.142259 0.989432i 0.00562767 0.0391413i
\(640\) −2.83961 1.82491i −0.112245 0.0721357i
\(641\) −36.3976 31.5387i −1.43762 1.24570i −0.921043 0.389462i \(-0.872661\pi\)
−0.516576 0.856242i \(-0.672794\pi\)
\(642\) 9.55191 + 2.80470i 0.376984 + 0.110692i
\(643\) −20.3574 −0.802819 −0.401410 0.915899i \(-0.631480\pi\)
−0.401410 + 0.915899i \(0.631480\pi\)
\(644\) 10.2405 + 7.49215i 0.403532 + 0.295232i
\(645\) 1.34366 0.0529065
\(646\) 2.47338 + 0.726251i 0.0973140 + 0.0285740i
\(647\) −17.3496 15.0335i −0.682083 0.591028i 0.243351 0.969938i \(-0.421753\pi\)
−0.925433 + 0.378910i \(0.876299\pi\)
\(648\) 0.841254 + 0.540641i 0.0330476 + 0.0212384i
\(649\) 0.0189943 0.132109i 0.000745593 0.00518571i
\(650\) −10.0759 15.6783i −0.395208 0.614955i
\(651\) 9.45086 + 7.39894i 0.370409 + 0.289987i
\(652\) −8.02786 9.26464i −0.314395 0.362831i
\(653\) −0.892250 6.20573i −0.0349164 0.242849i 0.964887 0.262665i \(-0.0846012\pi\)
−0.999804 + 0.0198154i \(0.993692\pi\)
\(654\) −5.16954 + 11.3197i −0.202145 + 0.442635i
\(655\) −1.29675 4.41631i −0.0506680 0.172560i
\(656\) 2.24914 + 7.65987i 0.0878142 + 0.299068i
\(657\) 7.93790 + 3.62512i 0.309687 + 0.141429i
\(658\) −4.09698 + 2.93093i −0.159717 + 0.114260i
\(659\) −25.2874 + 21.9117i −0.985058 + 0.853558i −0.989221 0.146433i \(-0.953221\pi\)
0.00416210 + 0.999991i \(0.498675\pi\)
\(660\) −0.245520 0.537614i −0.00955686 0.0209266i
\(661\) −3.14836 + 2.02333i −0.122457 + 0.0786984i −0.600435 0.799673i \(-0.705006\pi\)
0.477978 + 0.878372i \(0.341370\pi\)
\(662\) 4.97114 34.5750i 0.193209 1.34380i
\(663\) −1.75948 1.13075i −0.0683326 0.0439147i
\(664\) −3.21123 + 3.70596i −0.124620 + 0.143819i
\(665\) 31.4914 6.14075i 1.22119 0.238128i
\(666\) 8.03189i 0.311229i
\(667\) −3.29045 + 7.87434i −0.127407 + 0.304896i
\(668\) 15.4242i 0.596779i
\(669\) 8.17392 + 2.40008i 0.316022 + 0.0927924i
\(670\) 24.8574 + 21.5391i 0.960326 + 0.832127i
\(671\) −1.19094 + 1.85314i −0.0459758 + 0.0715397i
\(672\) −2.49834 + 0.870792i −0.0963757 + 0.0335915i
\(673\) 18.4048 11.8280i 0.709453 0.455938i −0.135501 0.990777i \(-0.543264\pi\)
0.844954 + 0.534840i \(0.179628\pi\)
\(674\) 22.3828 10.2219i 0.862153 0.393732i
\(675\) 4.83200 4.18696i 0.185984 0.161156i
\(676\) −0.640894 4.45751i −0.0246498 0.171443i
\(677\) 10.0929 22.1004i 0.387901 0.849386i −0.610454 0.792052i \(-0.709013\pi\)
0.998355 0.0573336i \(-0.0182599\pi\)
\(678\) −2.08659 + 0.612677i −0.0801349 + 0.0235297i
\(679\) −24.3272 + 23.2974i −0.933591 + 0.894073i
\(680\) −1.00612 + 2.20308i −0.0385828 + 0.0844845i
\(681\) 18.4303 2.64988i 0.706250 0.101543i
\(682\) −0.520175 0.600314i −0.0199185 0.0229872i
\(683\) 9.74007 + 21.3278i 0.372694 + 0.816085i 0.999324 + 0.0367684i \(0.0117064\pi\)
−0.626630 + 0.779317i \(0.715566\pi\)
\(684\) 3.02233 1.94234i 0.115562 0.0742671i
\(685\) 4.50083 + 0.647121i 0.171968 + 0.0247252i
\(686\) −12.0363 + 14.0757i −0.459550 + 0.537414i
\(687\) −20.8425 18.0602i −0.795192 0.689038i
\(688\) −0.112149 + 0.381943i −0.00427563 + 0.0145614i
\(689\) 14.0924 0.536879
\(690\) 8.30364 13.8962i 0.316114 0.529018i
\(691\) 20.9245i 0.796004i −0.917385 0.398002i \(-0.869704\pi\)
0.917385 0.398002i \(-0.130296\pi\)
\(692\) −1.20099 + 4.09019i −0.0456547 + 0.155486i
\(693\) −0.450436 0.108235i −0.0171107 0.00411150i
\(694\) 10.7792 + 6.92738i 0.409173 + 0.262960i
\(695\) 34.1114 + 4.90447i 1.29392 + 0.186037i
\(696\) −0.962071 1.49701i −0.0364672 0.0567441i
\(697\) 5.21050 2.37956i 0.197362 0.0901321i
\(698\) −7.38029 + 6.39506i −0.279348 + 0.242056i
\(699\) 18.3679 2.64091i 0.694738 0.0998883i
\(700\) 0.841748 + 16.8951i 0.0318151 + 0.638574i
\(701\) 8.65868 + 29.4887i 0.327034 + 1.11377i 0.944864 + 0.327463i \(0.106194\pi\)
−0.617830 + 0.786312i \(0.711988\pi\)
\(702\) −2.79683 + 0.821223i −0.105559 + 0.0309950i
\(703\) 26.2482 + 11.9871i 0.989968 + 0.452103i
\(704\) 0.173313 0.0249186i 0.00653197 0.000939155i
\(705\) 4.20862 + 4.85700i 0.158506 + 0.182925i
\(706\) −9.71909 + 4.43856i −0.365783 + 0.167047i
\(707\) −13.4679 7.73660i −0.506514 0.290965i
\(708\) −0.108480 + 0.754497i −0.00407694 + 0.0283557i
\(709\) −1.83564 + 2.85631i −0.0689389 + 0.107271i −0.874011 0.485905i \(-0.838490\pi\)
0.805073 + 0.593176i \(0.202126\pi\)
\(710\) 2.20958 2.54999i 0.0829240 0.0956994i
\(711\) 0.218060 0.742645i 0.00817789 0.0278513i
\(712\) −10.0104 −0.375154
\(713\) 5.44622 21.0639i 0.203962 0.788850i
\(714\) 0.873566 + 1.68545i 0.0326924 + 0.0630762i
\(715\) 1.65299 + 0.485362i 0.0618184 + 0.0181515i
\(716\) 4.80426 5.54441i 0.179544 0.207204i
\(717\) 0.553543 0.861330i 0.0206724 0.0321670i
\(718\) −12.6924 1.82489i −0.473676 0.0681043i
\(719\) 17.2314 + 26.8125i 0.642621 + 0.999938i 0.997874 + 0.0651681i \(0.0207584\pi\)
−0.355253 + 0.934770i \(0.615605\pi\)
\(720\) 1.40221 + 3.07042i 0.0522574 + 0.114428i
\(721\) 43.0624 + 17.1307i 1.60373 + 0.637981i
\(722\) 0.867099 + 6.03080i 0.0322701 + 0.224443i
\(723\) 12.1881 + 5.56610i 0.453279 + 0.207005i
\(724\) 12.7379 3.74019i 0.473400 0.139003i
\(725\) −10.9167 + 3.20542i −0.405434 + 0.119046i
\(726\) −9.97806 4.55683i −0.370321 0.169120i
\(727\) 5.26440 + 36.6147i 0.195246 + 1.35796i 0.817852 + 0.575428i \(0.195165\pi\)
−0.622607 + 0.782535i \(0.713926\pi\)
\(728\) 2.85068 7.16590i 0.105653 0.265586i
\(729\) −0.415415 0.909632i −0.0153857 0.0336901i
\(730\) 15.9250 + 24.7798i 0.589412 + 0.917143i
\(731\) 0.282714 + 0.0406482i 0.0104566 + 0.00150343i
\(732\) 6.80169 10.5836i 0.251398 0.391183i
\(733\) −2.70990 + 3.12739i −0.100092 + 0.115513i −0.803586 0.595189i \(-0.797077\pi\)
0.703493 + 0.710702i \(0.251623\pi\)
\(734\) 28.9396 + 8.49743i 1.06818 + 0.313646i
\(735\) 19.3065 + 13.6216i 0.712132 + 0.502440i
\(736\) 3.25701 + 3.52021i 0.120055 + 0.129757i
\(737\) −1.70616 −0.0628472
\(738\) 2.24914 7.65987i 0.0827921 0.281964i
\(739\) 11.8171 13.6377i 0.434700 0.501670i −0.495559 0.868574i \(-0.665037\pi\)
0.930259 + 0.366904i \(0.119582\pi\)
\(740\) −14.6574 + 22.8074i −0.538818 + 0.838417i
\(741\) −1.49035 + 10.3656i −0.0547496 + 0.380792i
\(742\) −11.0914 6.37142i −0.407179 0.233902i
\(743\) 11.7707 5.37550i 0.431825 0.197208i −0.187630 0.982240i \(-0.560081\pi\)
0.619455 + 0.785032i \(0.287353\pi\)
\(744\) 2.97082 + 3.42851i 0.108916 + 0.125695i
\(745\) −31.7030 + 4.55820i −1.16151 + 0.167000i
\(746\) −16.2830 7.43622i −0.596165 0.272259i
\(747\) 4.70505 1.38153i 0.172149 0.0505474i
\(748\) −0.0353952 0.120545i −0.00129418 0.00440756i
\(749\) 26.3063 1.31063i 0.961210 0.0478895i
\(750\) 4.65634 0.669481i 0.170026 0.0244460i
\(751\) −10.5825 + 9.16980i −0.386161 + 0.334611i −0.826209 0.563364i \(-0.809507\pi\)
0.440048 + 0.897974i \(0.354962\pi\)
\(752\) −1.73191 + 0.790936i −0.0631562 + 0.0288425i
\(753\) −5.13545 7.99092i −0.187146 0.291205i
\(754\) 5.13427 + 0.738197i 0.186979 + 0.0268835i
\(755\) −8.71085 5.59813i −0.317020 0.203737i
\(756\) 2.57253 + 0.618150i 0.0935619 + 0.0224819i
\(757\) −14.0604 + 47.8854i −0.511035 + 1.74042i 0.148659 + 0.988889i \(0.452504\pi\)
−0.659693 + 0.751535i \(0.729314\pi\)
\(758\) 22.3305i 0.811079i
\(759\) 0.146520 + 0.826844i 0.00531834 + 0.0300125i
\(760\) 12.1268 0.439886
\(761\) −4.15326 + 14.1447i −0.150555 + 0.512745i −0.999886 0.0151171i \(-0.995188\pi\)
0.849330 + 0.527862i \(0.177006\pi\)
\(762\) −1.35274 1.17215i −0.0490045 0.0424626i
\(763\) −3.05817 + 32.7821i −0.110713 + 1.18679i
\(764\) 24.1039 + 3.46562i 0.872049 + 0.125382i
\(765\) 2.03748 1.30941i 0.0736651 0.0473417i
\(766\) 1.51863 + 3.32534i 0.0548705 + 0.120150i
\(767\) −1.45503 1.67920i −0.0525383 0.0606324i
\(768\) −0.989821 + 0.142315i −0.0357171 + 0.00513534i
\(769\) −0.533059 + 1.16724i −0.0192226 + 0.0420916i −0.919000 0.394258i \(-0.871002\pi\)
0.899777 + 0.436350i \(0.143729\pi\)
\(770\) −1.08154 1.12935i −0.0389761 0.0406989i
\(771\) 16.9763 4.98470i 0.611387 0.179520i
\(772\) −9.24606 + 20.2460i −0.332773 + 0.728671i
\(773\) 0.602413 + 4.18987i 0.0216673 + 0.150699i 0.997783 0.0665523i \(-0.0211999\pi\)
−0.976116 +