Properties

Label 966.2.s.a.97.1
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 97.1
Character \(\chi\) \(=\) 966.97
Dual form 966.2.s.a.727.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.959493 - 0.281733i) q^{2} +(-0.755750 - 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(-0.480377 + 3.34109i) q^{5} +(0.540641 + 0.841254i) q^{6} +(-0.131654 + 2.64247i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +O(q^{10})\) \(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} +(-0.131654 + 2.64247i) 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} +(0.870792 - 2.49834i) 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} +(1.82995 - 1.91083i) 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} +(-1.53938 + 2.15181i) 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} +(-8.76550 - 1.70925i) 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} +(-2.29417 + 1.31788i) 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} +(-6.96533 - 0.695783i) 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} +(2.08326 - 1.63096i) 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} +(-2.63431 + 0.245750i) 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} +(0.450436 - 0.108235i) 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} +(2.57253 - 0.618150i) 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} +(6.48717 + 2.62996i) 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 \(0.317708\pi\)
−0.756724 + 0.653734i \(0.773201\pi\)
\(6\) 0.540641 + 0.841254i 0.220716 + 0.343440i
\(7\) −0.131654 + 2.64247i −0.0497604 + 0.998761i
\(8\) −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 0.747659 0.664083i \(-0.231178\pi\)
−0.0122684 + 0.999925i \(0.503905\pi\)
\(14\) 0.870792 2.49834i 0.232729 0.667710i
\(15\) 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 −0.611790 0.791021i \(-0.709550\pi\)
0.465391 + 0.885105i \(0.345914\pi\)
\(18\) 0.142315 0.989821i 0.0335439 0.233303i
\(19\) 3.02233 + 1.94234i 0.693371 + 0.445603i 0.839283 0.543695i \(-0.182975\pi\)
−0.145912 + 0.989298i \(0.546612\pi\)
\(20\) −2.21045 + 2.55099i −0.494271 + 0.570420i
\(21\) 1.82995 1.91083i 0.399328 0.416978i
\(22\) 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
\(28\) −1.53938 + 2.15181i −0.290916 + 0.406654i
\(29\) 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 −0.290163 0.956977i \(-0.593710\pi\)
0.905942 + 0.423402i \(0.139164\pi\)
\(32\) −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
\(35\) −8.76550 1.70925i −1.48164 0.288916i
\(36\) −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 −0.505764 0.862672i \(-0.668789\pi\)
−0.728320 + 0.685237i \(0.759698\pi\)
\(42\) −2.29417 + 1.31788i −0.353998 + 0.203353i
\(43\) 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 \(-0.955656\pi\)
0.990312 0.138861i \(-0.0443441\pi\)
\(48\) 0.281733 0.959493i 0.0406646 0.138491i
\(49\) −6.96533 0.695783i −0.995048 0.0993975i
\(50\) 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
\(56\) 2.08326 1.63096i 0.278388 0.217946i
\(57\) −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 0.369769 0.929124i \(-0.379437\pi\)
−0.460038 + 0.887899i \(0.652164\pi\)
\(60\) 3.34109 0.480377i 0.431333 0.0620163i
\(61\) 8.23867 + 9.50793i 1.05485 + 1.21737i 0.975380 + 0.220529i \(0.0707784\pi\)
0.0794734 + 0.996837i \(0.474676\pi\)
\(62\) −4.12661 + 1.88456i −0.524080 + 0.239339i
\(63\) −2.63431 + 0.245750i −0.331892 + 0.0309615i
\(64\) −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 −0.999380 0.0352162i \(-0.988788\pi\)
0.447191 + 0.894438i \(0.352424\pi\)
\(74\) 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
\(77\) 0.450436 0.108235i 0.0513320 0.0123345i
\(78\) 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 \(0.0412798\pi\)
−0.915002 + 0.403450i \(0.867811\pi\)
\(84\) 2.57253 0.618150i 0.280686 0.0674457i
\(85\) −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 −0.988050 0.154135i \(-0.950741\pi\)
0.293180 + 0.956057i \(0.405286\pi\)
\(90\) 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 \(0.269151\pi\)
−0.847275 + 0.531154i \(0.821759\pi\)
\(98\) 6.48717 + 2.62996i 0.655303 + 0.265666i
\(99\) 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 −0.425205 0.905097i \(-0.639798\pi\)
−0.152986 + 0.988228i \(0.548889\pi\)
\(102\) −0.652679 0.298069i −0.0646249 0.0295132i
\(103\) 16.8071 4.93501i 1.65605 0.486261i 0.685686 0.727897i \(-0.259502\pi\)
0.970367 + 0.241636i \(0.0776841\pi\)
\(104\) −0.821223 2.79683i −0.0805275 0.274251i
\(105\) 5.50521 + 7.03195i 0.537253 + 0.686248i
\(106\) 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
\(112\) −2.45837 + 0.977967i −0.232294 + 0.0924092i
\(113\) 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
\(119\) −0.945602 1.64611i −0.0866831 0.150899i
\(120\) −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
\(126\) 2.59684 + 0.506377i 0.231345 + 0.0451116i
\(127\) 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 −0.468863 0.883271i \(-0.655336\pi\)
0.360491 + 0.932763i \(0.382609\pi\)
\(132\) −0.147299 + 0.0946634i −0.0128207 + 0.00823939i
\(133\) −5.53047 + 7.73072i −0.479553 + 0.670339i
\(134\) −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 \(-0.857460\pi\)
0.901401 0.432985i \(-0.142540\pi\)
\(140\) −6.44992 6.17690i −0.545118 0.522043i
\(141\) −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
\(147\) 4.80841 + 5.08716i 0.396591 + 0.419582i
\(148\) −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
\(154\) −0.462684 0.0230519i −0.0372841 0.00185757i
\(155\) 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 0.216125 0.976366i \(-0.430658\pi\)
−0.798352 + 0.602191i \(0.794295\pi\)
\(158\) 0.584948 + 0.506860i 0.0465360 + 0.0403236i
\(159\) 4.63878 + 1.36207i 0.367879 + 0.108019i
\(160\) 3.37545 0.266853
\(161\) −6.67539 10.7907i −0.526094 0.850426i
\(162\) 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 \(0.0217351\pi\)
−0.352383 + 0.935856i \(0.614629\pi\)
\(168\) −2.64247 0.131654i −0.203871 0.0101573i
\(169\) −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 0.901156 0.433495i \(-0.142720\pi\)
−0.992466 + 0.122523i \(0.960901\pi\)
\(174\) 1.61869 + 0.739231i 0.122713 + 0.0560410i
\(175\) 5.56754 15.9736i 0.420867 1.20749i
\(176\) 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 −0.980458 0.196728i \(-0.936968\pi\)
0.334260 + 0.942481i \(0.391514\pi\)
\(182\) 5.33412 5.56989i 0.395391 0.412868i
\(183\) 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
\(189\) 2.15181 + 1.53938i 0.156521 + 0.111974i
\(190\) 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
\(196\) −5.48344 4.35107i −0.391675 0.310791i
\(197\) −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 0.283598 0.958943i \(-0.408472\pi\)
−0.989543 + 0.144239i \(0.953926\pi\)
\(200\) 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
\(203\) 2.34516 + 4.08247i 0.164598 + 0.286533i
\(204\) 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
\(210\) −3.30108 8.29810i −0.227796 0.572623i
\(211\) 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
\(217\) 7.39894 + 9.45086i 0.502273 + 0.641567i
\(218\) 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 −0.657618 0.753351i \(-0.728436\pi\)
0.138697 + 0.990335i \(0.455709\pi\)
\(224\) 2.63431 0.245750i 0.176012 0.0164198i
\(225\) 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 −0.998853 0.0478854i \(-0.984752\pi\)
0.189550 + 0.981871i \(0.439297\pi\)
\(228\) 1.01217 3.44713i 0.0670325 0.228292i
\(229\) 27.5786 1.82245 0.911223 0.411912i \(-0.135139\pi\)
0.911223 + 0.411912i \(0.135139\pi\)
\(230\) 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
\(238\) 0.443535 + 1.84584i 0.0287501 + 0.119648i
\(239\) −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 −0.668216 0.743967i \(-0.732942\pi\)
−0.159920 + 0.987130i \(0.551124\pi\)
\(242\) −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
\(245\) 5.67066 22.9376i 0.362285 1.46543i
\(246\) −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 0.556412 0.830906i \(-0.312178\pi\)
0.0188620 + 0.999822i \(0.493996\pi\)
\(252\) −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 \(0.367888\pi\)
−0.999911 + 0.0133579i \(0.995748\pi\)
\(258\) −0.0566509 + 0.394016i −0.00352693 + 0.0245304i
\(259\) −1.97383 21.1585i −0.122648 1.31473i
\(260\) −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
\(266\) 7.48445 5.85946i 0.458901 0.359267i
\(267\) 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 0.206695 0.978405i \(-0.433729\pi\)
0.874786 + 0.484510i \(0.161002\pi\)
\(270\) −1.82491 2.83961i −0.111060 0.172813i
\(271\) 6.82203 + 0.980860i 0.414409 + 0.0595830i 0.346366 0.938099i \(-0.387415\pi\)
0.0680427 + 0.997682i \(0.478325\pi\)
\(272\) −0.603616 0.387921i −0.0365996 0.0235211i
\(273\) 7.16590 2.85068i 0.433700 0.172531i
\(274\) 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
\(280\) 4.44842 + 7.74385i 0.265844 + 0.462783i
\(281\) 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 0.751649 0.659564i \(-0.229259\pi\)
−0.990690 + 0.136136i \(0.956532\pi\)
\(284\) −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
\(287\) 4.04253 20.7312i 0.238623 1.22373i
\(288\) 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 −0.371127 0.928582i \(-0.621028\pi\)
0.690496 + 0.723336i \(0.257392\pi\)
\(294\) −3.18041 6.23578i −0.185486 0.363678i
\(295\) 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
\(301\) −0.728444 + 0.760641i −0.0419868 + 0.0438426i
\(302\) −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 −0.786506 0.617582i \(-0.788112\pi\)
0.499364 + 0.866392i \(0.333567\pi\)
\(308\) 0.437447 + 0.152471i 0.0249259 + 0.00868785i
\(309\) −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 \(-0.835801\pi\)
0.465104 0.885256i \(-0.346017\pi\)
\(312\) −1.21089 + 2.65149i −0.0685534 + 0.150111i
\(313\) 1.31275 + 9.13040i 0.0742012 + 0.516081i 0.992696 + 0.120647i \(0.0384968\pi\)
−0.918494 + 0.395434i \(0.870594\pi\)
\(314\) 5.67890 + 6.55380i 0.320479 + 0.369852i
\(315\) 0.444390 8.91954i 0.0250386 0.502559i
\(316\) −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
\(322\) 3.36490 + 12.2343i 0.187518 + 0.681789i
\(323\) −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
\(329\) 5.03118 + 0.250664i 0.277378 + 0.0138195i
\(330\) 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
\(336\) 2.49834 + 0.870792i 0.136296 + 0.0475056i
\(337\) −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
\(343\) 2.75560 18.3141i 0.148788 0.988869i
\(344\) 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 −0.953317 0.301971i \(-0.902355\pi\)
0.670705 + 0.741725i \(0.265992\pi\)
\(350\) −9.84229 + 13.7580i −0.526093 + 0.735394i
\(351\) 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 −0.842722 0.538349i \(-0.819048\pi\)
0.412938 + 0.910759i \(0.364503\pi\)
\(354\) −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
\(357\) −0.363335 + 1.86328i −0.0192297 + 0.0986155i
\(358\) −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
\(364\) −6.68727 + 3.84148i −0.350508 + 0.201348i
\(365\) −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 \(-0.211528\pi\)
0.787205 + 0.616692i \(0.211528\pi\)
\(368\) −4.11684 2.46001i −0.214605 0.128237i
\(369\) 7.98325i 0.415591i
\(370\) −7.63812 + 26.0130i −0.397087 + 1.35235i
\(371\) −4.72809 11.8853i −0.245470 0.617053i
\(372\) −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
\(378\) −1.63096 2.08326i −0.0838873 0.107151i
\(379\) 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 0.813609 0.581412i \(-0.197500\pi\)
−0.691283 + 0.722584i \(0.742954\pi\)
\(384\) −0.909632 + 0.415415i −0.0464195 + 0.0211991i
\(385\) 0.145244 + 1.55694i 0.00740231 + 0.0793491i
\(386\) 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 \(-0.914837\pi\)
0.160157 0.987091i \(-0.448800\pi\)
\(398\) 6.31729 + 13.8329i 0.316657 + 0.693382i
\(399\) 9.24220 2.22080i 0.462689 0.111179i
\(400\) −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
\(406\) −1.10000 4.57781i −0.0545920 0.227193i
\(407\) 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 0.197953 0.980212i \(-0.436571\pi\)
−0.0862232 + 0.996276i \(0.527480\pi\)
\(410\) −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 \(-0.782056\pi\)
0.921415 0.388581i \(-0.127035\pi\)
\(420\) 0.829515 + 8.89199i 0.0404762 + 0.433885i
\(421\) −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
\(427\) −26.2091 + 20.5187i −1.26835 + 0.992970i
\(428\) −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 0.972901 0.231222i \(-0.0742723\pi\)
0.193831 + 0.981035i \(0.437909\pi\)
\(434\) −4.43661 11.1526i −0.212964 0.535340i
\(435\) 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 \(0.388681\pi\)
−0.796157 + 0.605090i \(0.793137\pi\)
\(440\) −0.446666 0.387038i −0.0212940 0.0184513i
\(441\) −0.302570 6.99346i −0.0144081 0.333022i
\(442\) 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
\(448\) −2.59684 0.506377i −0.122689 0.0239241i
\(449\) −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
\(455\) −21.1719 15.1461i −0.992554 0.710062i
\(456\) −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 \(-0.897130\pi\)
0.948232 0.317579i \(-0.102870\pi\)
\(462\) 0.334577 + 0.320415i 0.0155659 + 0.0149070i
\(463\) −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 \(0.0185890\pi\)
−0.609634 + 0.792683i \(0.708684\pi\)
\(468\) −2.20294 + 1.90885i −0.101831 + 0.0882368i
\(469\) 24.3444 + 8.48518i 1.12412 + 0.391809i
\(470\) −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
\(476\) 0.0944641 1.89603i 0.00432975 0.0869043i
\(477\) −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 0.989532 0.144315i \(-0.0460978\pi\)
0.279793 + 0.960060i \(0.409734\pi\)
\(480\) −2.55099 2.21045i −0.116436 0.100893i
\(481\) −22.4638 6.59597i −1.02426 0.300750i
\(482\) 13.3989 0.610302
\(483\) −2.02148 + 12.5265i −0.0919807 + 0.569976i
\(484\) 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
\(490\) −11.9032 + 20.4108i −0.537733 + 0.922068i
\(491\) −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
\(497\) 0.870449 2.49736i 0.0390450 0.112022i
\(498\) −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 −0.999841 0.0178479i \(-0.994319\pi\)
0.159958 + 0.987124i \(0.448864\pi\)
\(504\) 1.91083 + 1.82995i 0.0851153 + 0.0815124i
\(505\) 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 \(0.00226137\pi\)
0.149343 + 0.988785i \(0.452284\pi\)
\(510\) 1.30941 2.03748i 0.0579815 0.0902209i
\(511\) −18.7778 13.4334i −0.830681 0.594260i
\(512\) 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
\(518\) −4.06716 + 20.8575i −0.178701 + 0.916427i
\(519\) −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 \(0.163224\pi\)
0.361602 + 0.932333i \(0.382230\pi\)
\(522\) −0.739231 1.61869i −0.0323553 0.0708482i
\(523\) −23.7653 + 15.2730i −1.03918 + 0.667842i −0.944784 0.327693i \(-0.893729\pi\)
−0.0943978 + 0.995535i \(0.530093\pi\)
\(524\) −1.34972 0.194060i −0.0589627 0.00847756i
\(525\) −14.6681 + 8.42604i −0.640169 + 0.367743i
\(526\) −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
\(532\) −8.83208 + 3.51350i −0.382919 + 0.152329i
\(533\) −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
\(539\) 0.226706 + 1.20452i 0.00976493 + 0.0518821i
\(540\) 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
\(546\) −7.67876 + 0.716336i −0.328621 + 0.0306563i
\(547\) 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
\(560\) −2.08653 8.68343i −0.0881722 0.366942i
\(561\) −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 0.133934 0.990990i \(-0.457239\pi\)
0.648443 + 0.761264i \(0.275421\pi\)
\(564\) −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
\(567\) −0.618150 2.57253i −0.0259599 0.108036i
\(568\) 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 \(0.459486\pi\)
−0.643053 + 0.765822i \(0.722332\pi\)
\(578\) 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
\(581\) −12.9178 + 1.20508i −0.535922 + 0.0499951i
\(582\) −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 \(0.174044\pi\)
−0.437505 + 0.899216i \(0.644138\pi\)
\(588\) 1.29476 + 6.87921i 0.0533951 + 0.283694i
\(589\) 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 0.748256 0.663411i \(-0.230892\pi\)
0.531042 + 0.847346i \(0.321801\pi\)
\(594\) 0.147299 + 0.0946634i 0.00604376 + 0.00388409i
\(595\) 5.95405 2.36859i 0.244092 0.0971027i
\(596\) 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 0.740674 0.671865i \(-0.234507\pi\)
−0.559618 + 0.828751i \(0.689052\pi\)
\(602\) 0.913234 0.524604i 0.0372206 0.0213812i
\(603\) 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 −0.188758 0.982024i \(-0.560446\pi\)
0.0955565 + 0.995424i \(0.469537\pi\)
\(608\) 1.49244 3.26800i 0.0605266 0.132535i
\(609\) 0.901098 4.62108i 0.0365143 0.187256i
\(610\) 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
\(616\) −0.376771 0.269538i −0.0151806 0.0108600i
\(617\) −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 0.227482 0.973782i \(-0.426951\pi\)
−0.335097 + 0.942184i \(0.608769\pi\)
\(620\) 15.3130i 0.614983i
\(621\) 0.156238 + 4.79329i 0.00626962 + 0.192348i
\(622\) 25.3369i 1.01592i
\(623\) −19.1281 18.3184i −0.766352 0.733913i
\(624\) 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
\(630\) −2.93931 + 8.43303i −0.117105 + 0.335980i
\(631\) −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
\(637\) −17.6260 10.2791i −0.698367 0.407274i
\(638\) 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 \(-0.368520\pi\)
0.401410 + 0.915899i \(0.368520\pi\)
\(644\) 0.218198 12.6867i 0.00859821 0.499926i
\(645\) 1.34366 0.0529065
\(646\) 2.47338 + 0.726251i 0.0973140 + 0.0285740i
\(647\) 17.3496 + 15.0335i 0.682083 + 0.591028i 0.925433 0.378910i \(-0.123701\pi\)
−0.243351 + 0.969938i \(0.578247\pi\)
\(648\) 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
\(651\) 0.597256 11.9878i 0.0234083 0.469837i
\(652\) −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
\(658\) −4.75676 1.65796i −0.185438 0.0646339i
\(659\) −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 −0.477978 0.878372i \(-0.658630\pi\)
0.600435 + 0.799673i \(0.294994\pi\)
\(662\) 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
\(665\) −23.1724 22.1915i −0.898585 0.860549i
\(666\) 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
\(672\) −2.15181 1.53938i −0.0830080 0.0593830i
\(673\) 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 \(0.290987\pi\)
−0.998355 + 0.0573336i \(0.981740\pi\)
\(678\) 2.08659 0.612677i 0.0801349 0.0235297i
\(679\) −33.0608 6.44677i −1.26876 0.247404i
\(680\) −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
\(686\) −7.80366 + 16.7959i −0.297945 + 0.641271i
\(687\) −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 \(0.130296\pi\)
−0.917385 + 0.398002i \(0.869704\pi\)
\(692\) 1.20099 4.09019i 0.0456547 0.155486i
\(693\) 0.171237 + 0.430448i 0.00650475 + 0.0163514i
\(694\) 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
\(700\) 13.3197 10.4278i 0.503436 0.394133i
\(701\) 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
\(707\) −1.44268 15.4648i −0.0542574 0.581612i
\(708\) −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 \(-0.979242\pi\)
0.355253 0.934770i \(-0.384395\pi\)
\(720\) −1.40221 3.07042i −0.0522574 0.114428i
\(721\) 10.8279 + 45.0620i 0.403253 + 1.67820i
\(722\) 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 \(-0.804835\pi\)
0.622607 0.782535i \(-0.286074\pi\)
\(728\) 7.49866 1.80185i 0.277919 0.0667809i
\(729\) −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 −0.703493 0.710702i \(-0.748377\pi\)
0.803586 + 0.595189i \(0.202923\pi\)
\(734\) −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
\(742\) 1.18811 + 12.7359i 0.0436167 + 0.467549i
\(743\) 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
\(749\) −16.2364 20.7392i −0.593266 0.757795i
\(750\) 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
\(756\) 0.977967 + 2.45837i 0.0355683 + 0.0894100i
\(757\) −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 −0.849330 0.527862i \(-0.822994\pi\)
0.999886 + 0.0151171i \(0.00481209\pi\)
\(762\) 1.35274 + 1.17215i 0.0490045 + 0.0424626i
\(763\) 28.5492 16.4000i 1.03355 0.593720i
\(764\) 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 −0.899777 0.436350i \(-0.856271\pi\)
0.919000 + 0.394258i \(0.128998\pi\)
\(770\) 0.299281 1.53479i 0.0107853 0.0553102i
\(771\) 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 0.976116 0.217252i \(-0.0697092\pi\)
−0.997783 + 0.0665523i \(0.978800\pi\)
\(774\) 0.300840