Properties

Label 150.2.l.a.23.10
Level 150
Weight 2
Character 150.23
Analytic conductor 1.198
Analytic rank 0
Dimension 80
CM No

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Newspace parameters

Level: \( N \) = \( 150 = 2 \cdot 3 \cdot 5^{2} \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 150.l (of order \(20\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(1.19775603032\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(10\) over \(\Q(\zeta_{20})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 23.10
Character \(\chi\) = 150.23
Dual form 150.2.l.a.137.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.987688 + 0.156434i) q^{2} +(1.63125 + 0.582259i) q^{3} +(0.951057 + 0.309017i) q^{4} +(-2.22772 + 0.193062i) q^{5} +(1.52008 + 0.830274i) q^{6} +(-0.104631 + 0.104631i) q^{7} +(0.891007 + 0.453990i) q^{8} +(2.32195 + 1.89962i) q^{9} +O(q^{10})\) \(q+(0.987688 + 0.156434i) q^{2} +(1.63125 + 0.582259i) q^{3} +(0.951057 + 0.309017i) q^{4} +(-2.22772 + 0.193062i) q^{5} +(1.52008 + 0.830274i) q^{6} +(-0.104631 + 0.104631i) q^{7} +(0.891007 + 0.453990i) q^{8} +(2.32195 + 1.89962i) q^{9} +(-2.23049 - 0.157807i) q^{10} +(-1.81255 - 2.49477i) q^{11} +(1.37148 + 1.05784i) q^{12} +(-0.711182 - 4.49023i) q^{13} +(-0.119711 + 0.0869753i) q^{14} +(-3.74638 - 0.982176i) q^{15} +(0.809017 + 0.587785i) q^{16} +(-1.68388 + 3.30481i) q^{17} +(1.99620 + 2.23946i) q^{18} +(-3.32698 + 1.08100i) q^{19} +(-2.17835 - 0.504790i) q^{20} +(-0.231603 + 0.109757i) q^{21} +(-1.39997 - 2.74760i) q^{22} +(0.773401 - 4.88306i) q^{23} +(1.18911 + 1.25937i) q^{24} +(4.92545 - 0.860175i) q^{25} -4.54620i q^{26} +(2.68161 + 4.45073i) q^{27} +(-0.131843 + 0.0671775i) q^{28} +(0.509399 - 1.56777i) q^{29} +(-3.54661 - 1.55615i) q^{30} +(2.45755 + 7.56355i) q^{31} +(0.707107 + 0.707107i) q^{32} +(-1.50413 - 5.12496i) q^{33} +(-2.18014 + 3.00070i) q^{34} +(0.212889 - 0.253290i) q^{35} +(1.62129 + 2.52417i) q^{36} +(-8.30199 + 1.31491i) q^{37} +(-3.45513 + 0.547238i) q^{38} +(1.45436 - 7.73877i) q^{39} +(-2.07256 - 0.839343i) q^{40} +(1.27149 - 1.75005i) q^{41} +(-0.245921 + 0.0721755i) q^{42} +(2.77052 + 2.77052i) q^{43} +(-0.952916 - 2.93277i) q^{44} +(-5.53939 - 3.78353i) q^{45} +(1.52776 - 4.70196i) q^{46} +(-4.77725 + 2.43413i) q^{47} +(0.977465 + 1.42988i) q^{48} +6.97810i q^{49} +(4.99937 - 0.0790741i) q^{50} +(-4.67109 + 4.41051i) q^{51} +(0.711182 - 4.49023i) q^{52} +(-5.24200 - 10.2880i) q^{53} +(1.95235 + 4.81543i) q^{54} +(4.51950 + 5.20770i) q^{55} +(-0.140729 + 0.0457256i) q^{56} +(-6.05656 - 0.173781i) q^{57} +(0.748381 - 1.46878i) q^{58} +(10.4207 + 7.57107i) q^{59} +(-3.25951 - 2.09180i) q^{60} +(11.8153 - 8.58430i) q^{61} +(1.24409 + 7.85487i) q^{62} +(-0.441709 + 0.0441891i) q^{63} +(0.587785 + 0.809017i) q^{64} +(2.45120 + 9.86565i) q^{65} +(-0.683889 - 5.29716i) q^{66} +(3.23605 + 1.64885i) q^{67} +(-2.62271 + 2.62271i) q^{68} +(4.10482 - 7.51517i) q^{69} +(0.249891 - 0.216868i) q^{70} +(4.79465 + 1.55788i) q^{71} +(1.20646 + 2.74672i) q^{72} +(-10.6274 - 1.68322i) q^{73} -8.40547 q^{74} +(8.53549 + 1.46473i) q^{75} -3.49819 q^{76} +(0.450681 + 0.0713809i) q^{77} +(2.64706 - 7.41598i) q^{78} +(8.57556 + 2.78637i) q^{79} +(-1.91574 - 1.15323i) q^{80} +(1.78290 + 8.82164i) q^{81} +(1.52960 - 1.52960i) q^{82} +(9.01058 + 4.59112i) q^{83} +(-0.254184 + 0.0328164i) q^{84} +(3.11318 - 7.68727i) q^{85} +(2.30301 + 3.16982i) q^{86} +(1.74381 - 2.26082i) q^{87} +(-0.482397 - 3.04574i) q^{88} +(-6.13326 + 4.45607i) q^{89} +(-4.87932 - 4.60351i) q^{90} +(0.544231 + 0.395407i) q^{91} +(2.24450 - 4.40507i) q^{92} +(-0.395073 + 13.7690i) q^{93} +(-5.09921 + 1.65683i) q^{94} +(7.20287 - 3.05048i) q^{95} +(0.741748 + 1.56519i) q^{96} +(-4.20877 - 8.26018i) q^{97} +(-1.09162 + 6.89219i) q^{98} +(0.530447 - 9.23588i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 4q^{3} + 4q^{7} + O(q^{10}) \) \( 80q + 4q^{3} + 4q^{7} - 4q^{10} - 4q^{12} - 8q^{15} + 20q^{16} - 8q^{18} - 40q^{19} - 36q^{22} - 104q^{25} + 4q^{27} - 16q^{28} + 12q^{30} + 4q^{33} - 40q^{34} - 24q^{37} - 40q^{39} - 8q^{40} - 4q^{42} - 24q^{43} - 72q^{45} - 4q^{48} - 12q^{55} - 64q^{57} + 20q^{58} + 24q^{60} + 64q^{63} + 96q^{67} + 140q^{69} + 76q^{70} + 8q^{72} + 100q^{73} + 132q^{75} + 100q^{78} + 80q^{79} - 40q^{81} + 96q^{82} + 60q^{84} + 32q^{85} + 80q^{87} + 4q^{88} + 52q^{90} + 12q^{93} - 32q^{97} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(-1\) \(e\left(\frac{11}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.987688 + 0.156434i 0.698401 + 0.110616i
\(3\) 1.63125 + 0.582259i 0.941802 + 0.336167i
\(4\) 0.951057 + 0.309017i 0.475528 + 0.154508i
\(5\) −2.22772 + 0.193062i −0.996266 + 0.0863399i
\(6\) 1.52008 + 0.830274i 0.620570 + 0.338958i
\(7\) −0.104631 + 0.104631i −0.0395470 + 0.0395470i −0.726604 0.687057i \(-0.758902\pi\)
0.687057 + 0.726604i \(0.258902\pi\)
\(8\) 0.891007 + 0.453990i 0.315018 + 0.160510i
\(9\) 2.32195 + 1.89962i 0.773983 + 0.633206i
\(10\) −2.23049 0.157807i −0.705344 0.0499029i
\(11\) −1.81255 2.49477i −0.546506 0.752200i 0.443027 0.896508i \(-0.353904\pi\)
−0.989533 + 0.144308i \(0.953904\pi\)
\(12\) 1.37148 + 1.05784i 0.395913 + 0.305374i
\(13\) −0.711182 4.49023i −0.197246 1.24536i −0.865301 0.501252i \(-0.832873\pi\)
0.668055 0.744112i \(-0.267127\pi\)
\(14\) −0.119711 + 0.0869753i −0.0319942 + 0.0232451i
\(15\) −3.74638 0.982176i −0.967310 0.253597i
\(16\) 0.809017 + 0.587785i 0.202254 + 0.146946i
\(17\) −1.68388 + 3.30481i −0.408402 + 0.801533i −0.999989 0.00470771i \(-0.998501\pi\)
0.591587 + 0.806241i \(0.298501\pi\)
\(18\) 1.99620 + 2.23946i 0.470508 + 0.527847i
\(19\) −3.32698 + 1.08100i −0.763262 + 0.247999i −0.664678 0.747130i \(-0.731431\pi\)
−0.0985837 + 0.995129i \(0.531431\pi\)
\(20\) −2.17835 0.504790i −0.487093 0.112874i
\(21\) −0.231603 + 0.109757i −0.0505398 + 0.0239510i
\(22\) −1.39997 2.74760i −0.298475 0.585790i
\(23\) 0.773401 4.88306i 0.161265 1.01819i −0.765743 0.643147i \(-0.777628\pi\)
0.927008 0.375042i \(-0.122372\pi\)
\(24\) 1.18911 + 1.25937i 0.242727 + 0.257067i
\(25\) 4.92545 0.860175i 0.985091 0.172035i
\(26\) 4.54620i 0.891583i
\(27\) 2.68161 + 4.45073i 0.516076 + 0.856543i
\(28\) −0.131843 + 0.0671775i −0.0249161 + 0.0126954i
\(29\) 0.509399 1.56777i 0.0945931 0.291128i −0.892554 0.450940i \(-0.851089\pi\)
0.987147 + 0.159812i \(0.0510889\pi\)
\(30\) −3.54661 1.55615i −0.647519 0.284112i
\(31\) 2.45755 + 7.56355i 0.441388 + 1.35845i 0.886396 + 0.462927i \(0.153201\pi\)
−0.445008 + 0.895527i \(0.646799\pi\)
\(32\) 0.707107 + 0.707107i 0.125000 + 0.125000i
\(33\) −1.50413 5.12496i −0.261835 0.892141i
\(34\) −2.18014 + 3.00070i −0.373890 + 0.514616i
\(35\) 0.212889 0.253290i 0.0359848 0.0428138i
\(36\) 1.62129 + 2.52417i 0.270215 + 0.420694i
\(37\) −8.30199 + 1.31491i −1.36484 + 0.216169i −0.795510 0.605941i \(-0.792797\pi\)
−0.569329 + 0.822110i \(0.692797\pi\)
\(38\) −3.45513 + 0.547238i −0.560495 + 0.0887737i
\(39\) 1.45436 7.73877i 0.232884 1.23919i
\(40\) −2.07256 0.839343i −0.327700 0.132712i
\(41\) 1.27149 1.75005i 0.198573 0.273312i −0.698105 0.715995i \(-0.745973\pi\)
0.896678 + 0.442683i \(0.145973\pi\)
\(42\) −0.245921 + 0.0721755i −0.0379464 + 0.0111369i
\(43\) 2.77052 + 2.77052i 0.422501 + 0.422501i 0.886064 0.463563i \(-0.153429\pi\)
−0.463563 + 0.886064i \(0.653429\pi\)
\(44\) −0.952916 2.93277i −0.143657 0.442132i
\(45\) −5.53939 3.78353i −0.825764 0.564016i
\(46\) 1.52776 4.70196i 0.225256 0.693266i
\(47\) −4.77725 + 2.43413i −0.696833 + 0.355054i −0.766258 0.642533i \(-0.777884\pi\)
0.0694250 + 0.997587i \(0.477884\pi\)
\(48\) 0.977465 + 1.42988i 0.141085 + 0.206386i
\(49\) 6.97810i 0.996872i
\(50\) 4.99937 0.0790741i 0.707018 0.0111828i
\(51\) −4.67109 + 4.41051i −0.654083 + 0.617595i
\(52\) 0.711182 4.49023i 0.0986232 0.622682i
\(53\) −5.24200 10.2880i −0.720045 1.41317i −0.902823 0.430013i \(-0.858509\pi\)
0.182778 0.983154i \(-0.441491\pi\)
\(54\) 1.95235 + 4.81543i 0.265681 + 0.655297i
\(55\) 4.51950 + 5.20770i 0.609410 + 0.702206i
\(56\) −0.140729 + 0.0457256i −0.0188057 + 0.00611035i
\(57\) −6.05656 0.173781i −0.802211 0.0230178i
\(58\) 0.748381 1.46878i 0.0982673 0.192860i
\(59\) 10.4207 + 7.57107i 1.35666 + 0.985670i 0.998650 + 0.0519515i \(0.0165441\pi\)
0.358009 + 0.933718i \(0.383456\pi\)
\(60\) −3.25951 2.09180i −0.420800 0.270050i
\(61\) 11.8153 8.58430i 1.51279 1.09911i 0.547871 0.836563i \(-0.315439\pi\)
0.964920 0.262544i \(-0.0845614\pi\)
\(62\) 1.24409 + 7.85487i 0.158000 + 0.997570i
\(63\) −0.441709 + 0.0441891i −0.0556501 + 0.00556730i
\(64\) 0.587785 + 0.809017i 0.0734732 + 0.101127i
\(65\) 2.45120 + 9.86565i 0.304034 + 1.22368i
\(66\) −0.683889 5.29716i −0.0841809 0.652036i
\(67\) 3.23605 + 1.64885i 0.395346 + 0.201439i 0.640350 0.768083i \(-0.278789\pi\)
−0.245004 + 0.969522i \(0.578789\pi\)
\(68\) −2.62271 + 2.62271i −0.318050 + 0.318050i
\(69\) 4.10482 7.51517i 0.494162 0.904720i
\(70\) 0.249891 0.216868i 0.0298677 0.0259207i
\(71\) 4.79465 + 1.55788i 0.569020 + 0.184886i 0.579376 0.815061i \(-0.303296\pi\)
−0.0103558 + 0.999946i \(0.503296\pi\)
\(72\) 1.20646 + 2.74672i 0.142183 + 0.323704i
\(73\) −10.6274 1.68322i −1.24385 0.197006i −0.500396 0.865797i \(-0.666812\pi\)
−0.743451 + 0.668791i \(0.766812\pi\)
\(74\) −8.40547 −0.977116
\(75\) 8.53549 + 1.46473i 0.985593 + 0.169132i
\(76\) −3.49819 −0.401270
\(77\) 0.450681 + 0.0713809i 0.0513599 + 0.00813461i
\(78\) 2.64706 7.41598i 0.299721 0.839694i
\(79\) 8.57556 + 2.78637i 0.964826 + 0.313491i 0.748725 0.662880i \(-0.230666\pi\)
0.216100 + 0.976371i \(0.430666\pi\)
\(80\) −1.91574 1.15323i −0.214186 0.128935i
\(81\) 1.78290 + 8.82164i 0.198100 + 0.980182i
\(82\) 1.52960 1.52960i 0.168916 0.168916i
\(83\) 9.01058 + 4.59112i 0.989039 + 0.503941i 0.872168 0.489206i \(-0.162714\pi\)
0.116871 + 0.993147i \(0.462714\pi\)
\(84\) −0.254184 + 0.0328164i −0.0277338 + 0.00358056i
\(85\) 3.11318 7.68727i 0.337672 0.833801i
\(86\) 2.30301 + 3.16982i 0.248340 + 0.341810i
\(87\) 1.74381 2.26082i 0.186956 0.242386i
\(88\) −0.482397 3.04574i −0.0514237 0.324676i
\(89\) −6.13326 + 4.45607i −0.650124 + 0.472343i −0.863314 0.504668i \(-0.831615\pi\)
0.213189 + 0.977011i \(0.431615\pi\)
\(90\) −4.87932 4.60351i −0.514325 0.485252i
\(91\) 0.544231 + 0.395407i 0.0570509 + 0.0414499i
\(92\) 2.24450 4.40507i 0.234005 0.459261i
\(93\) −0.395073 + 13.7690i −0.0409672 + 1.42778i
\(94\) −5.09921 + 1.65683i −0.525944 + 0.170889i
\(95\) 7.20287 3.05048i 0.738999 0.312973i
\(96\) 0.741748 + 1.56519i 0.0757044 + 0.159746i
\(97\) −4.20877 8.26018i −0.427336 0.838694i −0.999824 0.0187810i \(-0.994021\pi\)
0.572487 0.819913i \(-0.305979\pi\)
\(98\) −1.09162 + 6.89219i −0.110270 + 0.696217i
\(99\) 0.530447 9.23588i 0.0533120 0.928241i
\(100\) 4.95019 + 0.703974i 0.495019 + 0.0703974i
\(101\) 4.19074i 0.416994i 0.978023 + 0.208497i \(0.0668571\pi\)
−0.978023 + 0.208497i \(0.933143\pi\)
\(102\) −5.30353 + 3.62549i −0.525128 + 0.358977i
\(103\) −15.5940 + 7.94553i −1.53652 + 0.782896i −0.998207 0.0598493i \(-0.980938\pi\)
−0.538312 + 0.842745i \(0.680938\pi\)
\(104\) 1.40485 4.32369i 0.137757 0.423973i
\(105\) 0.494755 0.289222i 0.0482832 0.0282252i
\(106\) −3.56807 10.9814i −0.346561 1.06661i
\(107\) −0.457779 0.457779i −0.0442552 0.0442552i 0.684633 0.728888i \(-0.259963\pi\)
−0.728888 + 0.684633i \(0.759963\pi\)
\(108\) 1.17501 + 5.06156i 0.113065 + 0.487048i
\(109\) −0.0442666 + 0.0609277i −0.00423997 + 0.00583582i −0.811132 0.584864i \(-0.801148\pi\)
0.806892 + 0.590699i \(0.201148\pi\)
\(110\) 3.64920 + 5.85059i 0.347937 + 0.557832i
\(111\) −14.3082 2.68897i −1.35808 0.255225i
\(112\) −0.146149 + 0.0231478i −0.0138098 + 0.00218726i
\(113\) 16.9061 2.67766i 1.59039 0.251893i 0.702408 0.711774i \(-0.252108\pi\)
0.887980 + 0.459881i \(0.152108\pi\)
\(114\) −5.95481 1.11910i −0.557719 0.104813i
\(115\) −0.780186 + 11.0274i −0.0727527 + 1.02831i
\(116\) 0.968935 1.33363i 0.0899634 0.123824i
\(117\) 6.87839 11.7770i 0.635907 1.08879i
\(118\) 9.10802 + 9.10802i 0.838461 + 0.838461i
\(119\) −0.169600 0.521974i −0.0155472 0.0478493i
\(120\) −2.89215 2.57594i −0.264016 0.235150i
\(121\) 0.460680 1.41783i 0.0418800 0.128893i
\(122\) 13.0127 6.63030i 1.17811 0.600279i
\(123\) 3.09309 2.11443i 0.278895 0.190652i
\(124\) 7.95279i 0.714181i
\(125\) −10.8065 + 2.86715i −0.966559 + 0.256445i
\(126\) −0.443183 0.0254535i −0.0394819 0.00226758i
\(127\) 1.39490 8.80705i 0.123777 0.781499i −0.845218 0.534421i \(-0.820530\pi\)
0.968996 0.247078i \(-0.0794704\pi\)
\(128\) 0.453990 + 0.891007i 0.0401275 + 0.0787546i
\(129\) 2.90625 + 6.13257i 0.255881 + 0.539943i
\(130\) 0.877698 + 10.1276i 0.0769792 + 0.888253i
\(131\) −1.60573 + 0.521733i −0.140293 + 0.0455840i −0.378322 0.925674i \(-0.623499\pi\)
0.238029 + 0.971258i \(0.423499\pi\)
\(132\) 0.153190 5.33893i 0.0133335 0.464694i
\(133\) 0.235000 0.461214i 0.0203771 0.0399923i
\(134\) 2.93827 + 2.13478i 0.253828 + 0.184417i
\(135\) −6.83313 9.39725i −0.588102 0.808786i
\(136\) −3.00070 + 2.18014i −0.257308 + 0.186945i
\(137\) −2.28802 14.4460i −0.195479 1.23420i −0.868916 0.494959i \(-0.835183\pi\)
0.673438 0.739244i \(-0.264817\pi\)
\(138\) 5.22991 6.78051i 0.445200 0.577196i
\(139\) −10.4809 14.4257i −0.888977 1.22357i −0.973853 0.227180i \(-0.927050\pi\)
0.0848764 0.996391i \(-0.472950\pi\)
\(140\) 0.280740 0.175107i 0.0237269 0.0147992i
\(141\) −9.21017 + 1.18908i −0.775637 + 0.100138i
\(142\) 4.49191 + 2.28874i 0.376953 + 0.192067i
\(143\) −9.91301 + 9.91301i −0.828967 + 0.828967i
\(144\) 0.761928 + 2.90163i 0.0634940 + 0.241803i
\(145\) −0.832121 + 3.59090i −0.0691039 + 0.298208i
\(146\) −10.2333 3.32499i −0.846912 0.275178i
\(147\) −4.06306 + 11.3830i −0.335116 + 0.938856i
\(148\) −8.30199 1.31491i −0.682419 0.108085i
\(149\) −15.4486 −1.26560 −0.632800 0.774316i \(-0.718094\pi\)
−0.632800 + 0.774316i \(0.718094\pi\)
\(150\) 8.20127 + 2.78194i 0.669631 + 0.227145i
\(151\) −7.09145 −0.577094 −0.288547 0.957466i \(-0.593172\pi\)
−0.288547 + 0.957466i \(0.593172\pi\)
\(152\) −3.45513 0.547238i −0.280248 0.0443869i
\(153\) −10.1878 + 4.47486i −0.823632 + 0.361771i
\(154\) 0.433966 + 0.141004i 0.0349700 + 0.0113624i
\(155\) −6.93495 16.3750i −0.557029 1.31527i
\(156\) 3.77459 6.91059i 0.302209 0.553290i
\(157\) 5.10830 5.10830i 0.407687 0.407687i −0.473244 0.880931i \(-0.656917\pi\)
0.880931 + 0.473244i \(0.156917\pi\)
\(158\) 8.03409 + 4.09358i 0.639158 + 0.325667i
\(159\) −2.56073 19.8345i −0.203079 1.57298i
\(160\) −1.71175 1.43872i −0.135326 0.113741i
\(161\) 0.430000 + 0.591844i 0.0338887 + 0.0466439i
\(162\) 0.380938 + 8.99193i 0.0299293 + 0.706473i
\(163\) −0.335098 2.11572i −0.0262469 0.165716i 0.971083 0.238741i \(-0.0767347\pi\)
−0.997330 + 0.0730249i \(0.976735\pi\)
\(164\) 1.75005 1.27149i 0.136656 0.0992863i
\(165\) 4.34021 + 11.1266i 0.337885 + 0.866203i
\(166\) 8.18143 + 5.94416i 0.635002 + 0.461356i
\(167\) −1.90498 + 3.73873i −0.147412 + 0.289312i −0.952891 0.303312i \(-0.901908\pi\)
0.805480 + 0.592623i \(0.201908\pi\)
\(168\) −0.256188 0.00735081i −0.0197654 0.000567128i
\(169\) −7.29261 + 2.36951i −0.560970 + 0.182270i
\(170\) 4.27741 7.10562i 0.328062 0.544976i
\(171\) −9.77857 3.80996i −0.747786 0.291355i
\(172\) 1.77878 + 3.49106i 0.135631 + 0.266191i
\(173\) 0.0170042 0.107360i 0.00129280 0.00816244i −0.987034 0.160514i \(-0.948685\pi\)
0.988326 + 0.152352i \(0.0486847\pi\)
\(174\) 2.07601 1.96020i 0.157382 0.148602i
\(175\) −0.425356 + 0.605359i −0.0321539 + 0.0457608i
\(176\) 3.08370i 0.232443i
\(177\) 12.5904 + 18.4178i 0.946354 + 1.38437i
\(178\) −6.75483 + 3.44176i −0.506296 + 0.257971i
\(179\) 0.495650 1.52545i 0.0370466 0.114018i −0.930823 0.365470i \(-0.880908\pi\)
0.967870 + 0.251452i \(0.0809082\pi\)
\(180\) −4.09910 5.31012i −0.305529 0.395793i
\(181\) −3.90297 12.0121i −0.290105 0.892852i −0.984822 0.173568i \(-0.944470\pi\)
0.694717 0.719284i \(-0.255530\pi\)
\(182\) 0.475675 + 0.475675i 0.0352594 + 0.0352594i
\(183\) 24.2719 7.12358i 1.79423 0.526591i
\(184\) 2.90597 3.99972i 0.214231 0.294864i
\(185\) 18.2406 4.53204i 1.34108 0.333202i
\(186\) −2.54415 + 13.5376i −0.186546 + 0.992628i
\(187\) 11.2968 1.78924i 0.826107 0.130843i
\(188\) −5.29562 + 0.838744i −0.386223 + 0.0611717i
\(189\) −0.746267 0.185106i −0.0542829 0.0134645i
\(190\) 7.59139 1.88615i 0.550738 0.136835i
\(191\) −12.2687 + 16.8865i −0.887734 + 1.22186i 0.0864840 + 0.996253i \(0.472437\pi\)
−0.974218 + 0.225608i \(0.927563\pi\)
\(192\) 0.487767 + 1.66195i 0.0352016 + 0.119941i
\(193\) −4.75446 4.75446i −0.342233 0.342233i 0.514973 0.857206i \(-0.327802\pi\)
−0.857206 + 0.514973i \(0.827802\pi\)
\(194\) −2.86478 8.81688i −0.205679 0.633015i
\(195\) −1.74584 + 17.5206i −0.125022 + 1.25467i
\(196\) −2.15635 + 6.63657i −0.154025 + 0.474041i
\(197\) −3.85665 + 1.96506i −0.274775 + 0.140005i −0.585948 0.810348i \(-0.699278\pi\)
0.311174 + 0.950353i \(0.399278\pi\)
\(198\) 1.96873 9.03919i 0.139911 0.642387i
\(199\) 0.610848i 0.0433019i 0.999766 + 0.0216509i \(0.00689224\pi\)
−0.999766 + 0.0216509i \(0.993108\pi\)
\(200\) 4.77912 + 1.46969i 0.337935 + 0.103923i
\(201\) 4.31874 + 4.57390i 0.304621 + 0.322618i
\(202\) −0.655576 + 4.13914i −0.0461261 + 0.291229i
\(203\) 0.110739 + 0.217337i 0.00777235 + 0.0152541i
\(204\) −5.80539 + 2.75120i −0.406458 + 0.192622i
\(205\) −2.49464 + 4.14409i −0.174233 + 0.289436i
\(206\) −16.6449 + 5.40827i −1.15971 + 0.376812i
\(207\) 11.0718 9.86905i 0.769540 0.685947i
\(208\) 2.06393 4.05069i 0.143108 0.280865i
\(209\) 8.72718 + 6.34067i 0.603671 + 0.438593i
\(210\) 0.533908 0.208265i 0.0368432 0.0143716i
\(211\) 3.67523 2.67021i 0.253013 0.183825i −0.454048 0.890977i \(-0.650020\pi\)
0.707061 + 0.707152i \(0.250020\pi\)
\(212\) −1.80627 11.4044i −0.124055 0.783254i
\(213\) 6.91418 + 5.33301i 0.473752 + 0.365412i
\(214\) −0.380531 0.523756i −0.0260125 0.0358032i
\(215\) −6.70682 5.63706i −0.457401 0.384444i
\(216\) 0.368742 + 5.18305i 0.0250897 + 0.352662i
\(217\) −1.04852 0.534249i −0.0711783 0.0362672i
\(218\) −0.0532528 + 0.0532528i −0.00360673 + 0.00360673i
\(219\) −16.3559 8.93367i −1.10523 0.603681i
\(220\) 2.68903 + 6.34942i 0.181295 + 0.428078i
\(221\) 16.0369 + 5.21070i 1.07876 + 0.350509i
\(222\) −13.7114 4.89416i −0.920250 0.328475i
\(223\) 19.2711 + 3.05224i 1.29049 + 0.204393i 0.763681 0.645593i \(-0.223390\pi\)
0.526805 + 0.849986i \(0.323390\pi\)
\(224\) −0.147971 −0.00988675
\(225\) 13.0707 + 7.35920i 0.871377 + 0.490614i
\(226\) 17.1168 1.13859
\(227\) −11.9356 1.89042i −0.792194 0.125471i −0.252793 0.967520i \(-0.581349\pi\)
−0.539401 + 0.842049i \(0.681349\pi\)
\(228\) −5.70643 2.03685i −0.377917 0.134894i
\(229\) 5.88719 + 1.91287i 0.389037 + 0.126406i 0.497003 0.867749i \(-0.334434\pi\)
−0.107966 + 0.994155i \(0.534434\pi\)
\(230\) −2.49565 + 10.7696i −0.164558 + 0.710125i
\(231\) 0.693611 + 0.378853i 0.0456363 + 0.0249267i
\(232\) 1.16563 1.16563i 0.0765274 0.0765274i
\(233\) −6.74965 3.43912i −0.442184 0.225304i 0.218700 0.975792i \(-0.429818\pi\)
−0.660884 + 0.750488i \(0.729818\pi\)
\(234\) 8.63604 10.5560i 0.564556 0.690070i
\(235\) 10.1724 6.34486i 0.663575 0.413893i
\(236\) 7.57107 + 10.4207i 0.492835 + 0.678329i
\(237\) 12.3665 + 9.53845i 0.803290 + 0.619589i
\(238\) −0.0858568 0.542079i −0.00556527 0.0351377i
\(239\) 13.6576 9.92281i 0.883435 0.641853i −0.0507228 0.998713i \(-0.516152\pi\)
0.934158 + 0.356859i \(0.116152\pi\)
\(240\) −2.45357 2.99666i −0.158377 0.193434i
\(241\) −7.96740 5.78866i −0.513225 0.372880i 0.300820 0.953681i \(-0.402740\pi\)
−0.814046 + 0.580801i \(0.802740\pi\)
\(242\) 0.676805 1.32830i 0.0435066 0.0853866i
\(243\) −2.22813 + 15.4284i −0.142934 + 0.989732i
\(244\) 13.8897 4.51303i 0.889196 0.288917i
\(245\) −1.34721 15.5452i −0.0860699 0.993149i
\(246\) 3.38578 1.60454i 0.215869 0.102301i
\(247\) 7.22003 + 14.1701i 0.459399 + 0.901622i
\(248\) −1.24409 + 7.85487i −0.0789998 + 0.498785i
\(249\) 12.0253 + 12.7357i 0.762071 + 0.807095i
\(250\) −11.1219 + 1.14134i −0.703413 + 0.0721849i
\(251\) 0.308302i 0.0194599i −0.999953 0.00972993i \(-0.996903\pi\)
0.999953 0.00972993i \(-0.00309718\pi\)
\(252\) −0.433745 0.0944693i −0.0273234 0.00595101i
\(253\) −13.5839 + 6.92136i −0.854014 + 0.435142i
\(254\) 2.75545 8.48041i 0.172892 0.532108i
\(255\) 9.55436 10.7272i 0.598317 0.671762i
\(256\) 0.309017 + 0.951057i 0.0193136 + 0.0594410i
\(257\) 5.10907 + 5.10907i 0.318695 + 0.318695i 0.848266 0.529571i \(-0.177647\pi\)
−0.529571 + 0.848266i \(0.677647\pi\)
\(258\) 1.91112 + 6.51171i 0.118981 + 0.405401i
\(259\) 0.731069 1.00623i 0.0454264 0.0625241i
\(260\) −0.717421 + 10.1403i −0.0444926 + 0.628872i
\(261\) 4.16097 2.67262i 0.257557 0.165431i
\(262\) −1.66758 + 0.264118i −0.103023 + 0.0163173i
\(263\) −5.16055 + 0.817350i −0.318213 + 0.0504000i −0.313498 0.949589i \(-0.601501\pi\)
−0.00471508 + 0.999989i \(0.501501\pi\)
\(264\) 0.986496 5.24923i 0.0607147 0.323068i
\(265\) 13.6639 + 21.9068i 0.839369 + 1.34572i
\(266\) 0.304257 0.418773i 0.0186552 0.0256766i
\(267\) −12.5995 + 3.69782i −0.771075 + 0.226303i
\(268\) 2.56814 + 2.56814i 0.156874 + 0.156874i
\(269\) −0.702217 2.16120i −0.0428149 0.131771i 0.927364 0.374160i \(-0.122069\pi\)
−0.970179 + 0.242389i \(0.922069\pi\)
\(270\) −5.27895 10.3505i −0.321267 0.629911i
\(271\) −5.82840 + 17.9380i −0.354050 + 1.08965i 0.602508 + 0.798113i \(0.294168\pi\)
−0.956558 + 0.291541i \(0.905832\pi\)
\(272\) −3.30481 + 1.68388i −0.200383 + 0.102100i
\(273\) 0.657547 + 0.961891i 0.0397966 + 0.0582163i
\(274\) 14.6260i 0.883592i
\(275\) −11.0736 10.7287i −0.667762 0.646968i
\(276\) 6.22623 5.87890i 0.374775 0.353868i
\(277\) 2.59202 16.3654i 0.155739 0.983299i −0.778757 0.627326i \(-0.784149\pi\)
0.934496 0.355973i \(-0.115851\pi\)
\(278\) −8.09517 15.8877i −0.485516 0.952878i
\(279\) −8.66156 + 22.2306i −0.518554 + 1.33091i
\(280\) 0.304677 0.129033i 0.0182079 0.00771121i
\(281\) 23.8171 7.73865i 1.42081 0.461649i 0.504951 0.863148i \(-0.331511\pi\)
0.915859 + 0.401499i \(0.131511\pi\)
\(282\) −9.28279 0.266351i −0.552782 0.0158610i
\(283\) 12.1655 23.8762i 0.723165 1.41929i −0.177209 0.984173i \(-0.556707\pi\)
0.900374 0.435117i \(-0.143293\pi\)
\(284\) 4.07857 + 2.96325i 0.242019 + 0.175837i
\(285\) 13.5259 0.782156i 0.801202 0.0463309i
\(286\) −11.3417 + 8.24023i −0.670649 + 0.487255i
\(287\) 0.0500729 + 0.316148i 0.00295571 + 0.0186616i
\(288\) 0.298633 + 2.98510i 0.0175971 + 0.175899i
\(289\) 1.90607 + 2.62348i 0.112122 + 0.154322i
\(290\) −1.38362 + 3.41651i −0.0812488 + 0.200625i
\(291\) −2.05599 15.9250i −0.120525 0.933541i
\(292\) −9.58715 4.88489i −0.561045 0.285867i
\(293\) −1.78525 + 1.78525i −0.104296 + 0.104296i −0.757329 0.653033i \(-0.773496\pi\)
0.653033 + 0.757329i \(0.273496\pi\)
\(294\) −5.79374 + 10.6073i −0.337898 + 0.618629i
\(295\) −24.6760 14.8544i −1.43669 0.864855i
\(296\) −7.99408 2.59743i −0.464646 0.150973i
\(297\) 6.24297 14.7572i 0.362254 0.856298i
\(298\) −15.2584 2.41669i −0.883896 0.139995i
\(299\) −22.4761 −1.29983
\(300\) 7.66511 + 4.03065i 0.442545 + 0.232710i
\(301\) −0.579767 −0.0334172
\(302\) −7.00414 1.10935i −0.403043 0.0638357i
\(303\) −2.44009 + 6.83614i −0.140180 + 0.392726i
\(304\) −3.32698 1.08100i −0.190815 0.0619997i
\(305\) −24.6638 + 21.4045i −1.41224 + 1.22562i
\(306\) −10.7624 + 2.82605i −0.615243 + 0.161554i
\(307\) −18.1356 + 18.1356i −1.03505 + 1.03505i −0.0356889 + 0.999363i \(0.511363\pi\)
−0.999363 + 0.0356889i \(0.988637\pi\)
\(308\) 0.406565 + 0.207155i 0.0231662 + 0.0118038i
\(309\) −30.0640 + 3.88141i −1.71028 + 0.220805i
\(310\) −4.28796 17.2583i −0.243540 0.980203i
\(311\) −6.19053 8.52054i −0.351033 0.483155i 0.596590 0.802546i \(-0.296522\pi\)
−0.947623 + 0.319391i \(0.896522\pi\)
\(312\) 4.80917 6.23503i 0.272266 0.352989i
\(313\) 2.76954 + 17.4862i 0.156543 + 0.988377i 0.933436 + 0.358744i \(0.116795\pi\)
−0.776893 + 0.629633i \(0.783205\pi\)
\(314\) 5.84453 4.24630i 0.329826 0.239632i
\(315\) 0.975472 0.183718i 0.0549616 0.0103513i
\(316\) 7.29480 + 5.29999i 0.410365 + 0.298147i
\(317\) −2.31211 + 4.53776i −0.129861 + 0.254866i −0.946777 0.321890i \(-0.895682\pi\)
0.816916 + 0.576756i \(0.195682\pi\)
\(318\) 0.573599 19.9909i 0.0321659 1.12103i
\(319\) −4.83453 + 1.57084i −0.270682 + 0.0879499i
\(320\) −1.46561 1.68878i −0.0819301 0.0944058i
\(321\) −0.480206 1.01330i −0.0268025 0.0565568i
\(322\) 0.332121 + 0.651824i 0.0185084 + 0.0363248i
\(323\) 2.02974 12.8153i 0.112938 0.713063i
\(324\) −1.03040 + 8.94082i −0.0572445 + 0.496712i
\(325\) −7.36527 21.5047i −0.408552 1.19286i
\(326\) 2.14210i 0.118640i
\(327\) −0.107686 + 0.0736137i −0.00595502 + 0.00407085i
\(328\) 1.92741 0.982063i 0.106423 0.0542254i
\(329\) 0.245164 0.754537i 0.0135163 0.0415990i
\(330\) 2.54619 + 11.6685i 0.140163 + 0.642333i
\(331\) −4.54014 13.9731i −0.249548 0.768031i −0.994855 0.101309i \(-0.967697\pi\)
0.745307 0.666722i \(-0.232303\pi\)
\(332\) 7.15083 + 7.15083i 0.392453 + 0.392453i
\(333\) −21.7746 12.7175i −1.19324 0.696913i
\(334\) −2.46639 + 3.39470i −0.134955 + 0.185750i
\(335\) −7.52733 3.04841i −0.411262 0.166553i
\(336\) −0.251884 0.0473370i −0.0137414 0.00258244i
\(337\) −24.4578 + 3.87373i −1.33230 + 0.211015i −0.781648 0.623720i \(-0.785621\pi\)
−0.550651 + 0.834735i \(0.685621\pi\)
\(338\) −7.57350 + 1.19952i −0.411944 + 0.0652455i
\(339\) 29.1371 + 5.47578i 1.58251 + 0.297404i
\(340\) 5.33631 6.34900i 0.289402 0.344323i
\(341\) 14.4149 19.8403i 0.780608 1.07441i
\(342\) −9.06217 5.29276i −0.490026 0.286200i
\(343\) −1.46255 1.46255i −0.0789703 0.0789703i
\(344\) 1.21076 + 3.72634i 0.0652799 + 0.200911i
\(345\) −7.69348 + 17.5342i −0.414203 + 0.944008i
\(346\) 0.0335897 0.103378i 0.00180579 0.00555765i
\(347\) 28.4710 14.5067i 1.52840 0.778760i 0.530769 0.847516i \(-0.321903\pi\)
0.997633 + 0.0687565i \(0.0219032\pi\)
\(348\) 2.35709 1.61130i 0.126353 0.0863750i
\(349\) 27.0969i 1.45047i 0.688504 + 0.725233i \(0.258268\pi\)
−0.688504 + 0.725233i \(0.741732\pi\)
\(350\) −0.514818 + 0.531366i −0.0275182 + 0.0284027i
\(351\) 18.0777 15.2063i 0.964914 0.811652i
\(352\) 0.482397 3.04574i 0.0257118 0.162338i
\(353\) 2.81680 + 5.52827i 0.149923 + 0.294240i 0.953738 0.300639i \(-0.0971999\pi\)
−0.803815 + 0.594879i \(0.797200\pi\)
\(354\) 9.55422 + 20.1607i 0.507801 + 1.07153i
\(355\) −10.9819 2.54484i −0.582858 0.135066i
\(356\) −7.21008 + 2.34270i −0.382133 + 0.124163i
\(357\) 0.0272647 0.950221i 0.00144300 0.0502910i
\(358\) 0.728181 1.42914i 0.0384855 0.0755321i
\(359\) 27.6886 + 20.1169i 1.46135 + 1.06173i 0.983009 + 0.183555i \(0.0587606\pi\)
0.478338 + 0.878176i \(0.341239\pi\)
\(360\) −3.21795 5.88599i −0.169601 0.310219i
\(361\) −5.47109 + 3.97498i −0.287952 + 0.209209i
\(362\) −1.97581 12.4748i −0.103846 0.655659i
\(363\) 1.57702 2.04459i 0.0827723 0.107313i
\(364\) 0.395407 + 0.544231i 0.0207250 + 0.0285255i
\(365\) 23.9999 + 1.69799i 1.25621 + 0.0888767i
\(366\) 25.0875 3.23891i 1.31134 0.169301i
\(367\) 10.8271 + 5.51668i 0.565170 + 0.287968i 0.713138 0.701024i \(-0.247273\pi\)
−0.147968 + 0.988992i \(0.547273\pi\)
\(368\) 3.49589 3.49589i 0.182236 0.182236i
\(369\) 6.27675 1.64819i 0.326755 0.0858013i
\(370\) 18.7250 1.62278i 0.973467 0.0843641i
\(371\) 1.62493 + 0.527971i 0.0843621 + 0.0274109i
\(372\) −4.63058 + 12.9730i −0.240084 + 0.672618i
\(373\) 25.3102 + 4.00874i 1.31051 + 0.207565i 0.772307 0.635249i \(-0.219103\pi\)
0.538205 + 0.842814i \(0.319103\pi\)
\(374\) 11.4377 0.591427
\(375\) −19.2974 1.61513i −0.996516 0.0834047i
\(376\) −5.36163 −0.276505
\(377\) −7.40192 1.17235i −0.381218 0.0603790i
\(378\) −0.708122 0.299568i −0.0364219 0.0154081i
\(379\) −6.14399 1.99630i −0.315596 0.102543i 0.146936 0.989146i \(-0.453059\pi\)
−0.462532 + 0.886603i \(0.653059\pi\)
\(380\) 7.79299 0.675368i 0.399772 0.0346457i
\(381\) 7.40341 13.5543i 0.379288 0.694408i
\(382\) −14.7593 + 14.7593i −0.755152 + 0.755152i
\(383\) −0.244359 0.124507i −0.0124861 0.00636200i 0.447736 0.894166i \(-0.352230\pi\)
−0.460222 + 0.887804i \(0.652230\pi\)
\(384\) 0.221775 + 1.71779i 0.0113174 + 0.0876608i
\(385\) −1.01777 0.0720071i −0.0518705 0.00366982i
\(386\) −3.95216 5.43968i −0.201160 0.276873i
\(387\) 1.17008 + 11.6959i 0.0594783 + 0.594538i
\(388\) −1.45024 9.15648i −0.0736250 0.464850i
\(389\) −22.1354 + 16.0823i −1.12231 + 0.815407i −0.984558 0.175059i \(-0.943988\pi\)
−0.137754 + 0.990467i \(0.543988\pi\)
\(390\) −4.46517 + 17.0318i −0.226103 + 0.862437i
\(391\) 14.8353 + 10.7784i 0.750251 + 0.545089i
\(392\) −3.16799 + 6.21754i −0.160008 + 0.314033i
\(393\) −2.92313 0.0838734i −0.147452 0.00423085i
\(394\) −4.11657 + 1.33755i −0.207390 + 0.0673850i
\(395\) −19.6419 4.55163i −0.988289 0.229017i
\(396\) 3.35853 8.61993i 0.168772 0.433168i
\(397\) 0.538470 + 1.05681i 0.0270250 + 0.0530396i 0.904124 0.427270i \(-0.140524\pi\)
−0.877099 + 0.480309i \(0.840524\pi\)
\(398\) −0.0955577 + 0.603327i −0.00478987 + 0.0302421i
\(399\) 0.651890 0.615524i 0.0326353 0.0308147i
\(400\) 4.49037 + 2.19921i 0.224519 + 0.109961i
\(401\) 4.37934i 0.218694i 0.994004 + 0.109347i \(0.0348759\pi\)
−0.994004 + 0.109347i \(0.965124\pi\)
\(402\) 3.55006 + 5.19319i 0.177061 + 0.259013i
\(403\) 32.2143 16.4140i 1.60471 0.817639i
\(404\) −1.29501 + 3.98563i −0.0644291 + 0.198292i
\(405\) −5.67491 19.3079i −0.281989 0.959418i
\(406\) 0.0753765 + 0.231985i 0.00374087 + 0.0115132i
\(407\) 18.3282 + 18.3282i 0.908494 + 0.908494i
\(408\) −6.16430 + 1.80916i −0.305178 + 0.0895669i
\(409\) 19.0597 26.2334i 0.942440 1.29716i −0.0123647 0.999924i \(-0.503936\pi\)
0.954805 0.297234i \(-0.0960641\pi\)
\(410\) −3.11221 + 3.70282i −0.153701 + 0.182869i
\(411\) 4.67897 24.8972i 0.230797 1.22809i
\(412\) −17.2861 + 2.73784i −0.851623 + 0.134884i
\(413\) −1.88250 + 0.298159i −0.0926320 + 0.0146715i
\(414\) 12.4793 8.01555i 0.613324 0.393943i
\(415\) −20.9594 8.48812i −1.02886 0.416665i
\(416\) 2.67219 3.67795i 0.131015 0.180326i
\(417\) −8.69744 29.6345i −0.425915 1.45121i
\(418\) 7.62783 + 7.62783i 0.373089 + 0.373089i
\(419\) 9.10066 + 28.0089i 0.444596 + 1.36833i 0.882926 + 0.469512i \(0.155570\pi\)
−0.438330 + 0.898814i \(0.644430\pi\)
\(420\) 0.559915 0.122179i 0.0273211 0.00596172i
\(421\) 1.83346 5.64281i 0.0893574 0.275014i −0.896385 0.443277i \(-0.853816\pi\)
0.985742 + 0.168263i \(0.0538158\pi\)
\(422\) 4.04770 2.06240i 0.197039 0.100396i
\(423\) −15.7164 3.42302i −0.764159 0.166433i
\(424\) 11.5465i 0.560748i
\(425\) −5.45118 + 17.7261i −0.264421 + 0.859842i
\(426\) 5.99479 + 6.34897i 0.290448 + 0.307608i
\(427\) −0.338062 + 2.13444i −0.0163600 + 0.103293i
\(428\) −0.293912 0.576835i −0.0142068 0.0278824i
\(429\) −21.9425 + 10.3987i −1.05940 + 0.502052i
\(430\) −5.74242 6.61683i −0.276924 0.319092i
\(431\) 16.7496 5.44228i 0.806801 0.262146i 0.123559 0.992337i \(-0.460569\pi\)
0.683242 + 0.730192i \(0.260569\pi\)
\(432\) −0.446605 + 5.17692i −0.0214873 + 0.249075i
\(433\) −4.11844 + 8.08290i −0.197920 + 0.388439i −0.968541 0.248854i \(-0.919946\pi\)
0.770621 + 0.637293i \(0.219946\pi\)
\(434\) −0.952038 0.691696i −0.0456993 0.0332025i
\(435\) −3.44823 + 5.37314i −0.165330 + 0.257622i
\(436\) −0.0609277 + 0.0442666i −0.00291791 + 0.00211998i
\(437\) 2.70551 + 17.0819i 0.129422 + 0.817138i
\(438\) −14.7570 11.3823i −0.705118 0.543868i
\(439\) 16.9822 + 23.3740i 0.810517 + 1.11558i 0.991243 + 0.132048i \(0.0421553\pi\)
−0.180726 + 0.983533i \(0.557845\pi\)
\(440\) 1.66266 + 6.69191i 0.0792642 + 0.319024i
\(441\) −13.2557 + 16.2028i −0.631226 + 0.771562i
\(442\) 15.0243 + 7.65526i 0.714633 + 0.364124i
\(443\) −12.4501 + 12.4501i −0.591523 + 0.591523i −0.938043 0.346520i \(-0.887363\pi\)
0.346520 + 0.938043i \(0.387363\pi\)
\(444\) −12.7770 6.97884i −0.606369 0.331201i
\(445\) 12.8029 11.1110i 0.606915 0.526711i
\(446\) 18.5563 + 6.02932i 0.878668 + 0.285497i
\(447\) −25.2005 8.99509i −1.19194 0.425453i
\(448\) −0.146149 0.0231478i −0.00690491 0.00109363i
\(449\) 12.8503 0.606444 0.303222 0.952920i \(-0.401938\pi\)
0.303222 + 0.952920i \(0.401938\pi\)
\(450\) 11.7585 + 9.31330i 0.554301 + 0.439033i
\(451\) −6.67060 −0.314106
\(452\) 16.9061 + 2.67766i 0.795194 + 0.125946i
\(453\) −11.5679 4.12906i −0.543508 0.194000i
\(454\) −11.4929 3.73428i −0.539390 0.175259i
\(455\) −1.28873 0.775785i −0.0604166 0.0363694i
\(456\) −5.31754 2.90446i −0.249017 0.136014i
\(457\) 10.9813 10.9813i 0.513683 0.513683i −0.401970 0.915653i \(-0.631674\pi\)
0.915653 + 0.401970i \(0.131674\pi\)
\(458\) 5.51547 + 2.81027i 0.257721 + 0.131316i
\(459\) −19.2243 + 1.36769i −0.897314 + 0.0638384i
\(460\) −4.14965 + 10.2466i −0.193479 + 0.477750i
\(461\) −6.59561 9.07808i −0.307188 0.422808i 0.627314 0.778767i \(-0.284154\pi\)
−0.934502 + 0.355958i \(0.884154\pi\)
\(462\) 0.625806 + 0.482694i 0.0291151 + 0.0224569i
\(463\) 0.201904 + 1.27477i 0.00938330 + 0.0592438i 0.991936 0.126742i \(-0.0404521\pi\)
−0.982552 + 0.185986i \(0.940452\pi\)
\(464\) 1.33363 0.968935i 0.0619120 0.0449817i
\(465\) −1.77815 30.7496i −0.0824598 1.42598i
\(466\) −6.12855 4.45265i −0.283900 0.206265i
\(467\) −16.6117 + 32.6024i −0.768700 + 1.50866i 0.0898651 + 0.995954i \(0.471356\pi\)
−0.858565 + 0.512705i \(0.828644\pi\)
\(468\) 10.1810 9.07510i 0.470619 0.419497i
\(469\) −0.511114 + 0.166071i −0.0236010 + 0.00766845i
\(470\) 11.0397 4.67542i 0.509225 0.215661i
\(471\) 11.3073 5.35856i 0.521011 0.246909i
\(472\) 5.84771 + 11.4768i 0.269162 + 0.528261i
\(473\) 1.89008 11.9335i 0.0869062 0.548704i
\(474\) 10.7221 + 11.3556i 0.492482 + 0.521578i
\(475\) −15.4570 + 8.18621i −0.709218 + 0.375609i
\(476\) 0.548836i 0.0251559i
\(477\) 7.37164 33.8461i 0.337524 1.54970i
\(478\) 15.0417 7.66413i 0.687991 0.350549i
\(479\) 8.59259 26.4453i 0.392605 1.20832i −0.538205 0.842814i \(-0.680897\pi\)
0.930811 0.365502i \(-0.119103\pi\)
\(480\) −1.95458 3.34359i −0.0892141 0.152613i
\(481\) 11.8084 + 36.3427i 0.538419 + 1.65708i
\(482\) −6.96376 6.96376i −0.317191 0.317191i
\(483\) 0.356831 + 1.21582i 0.0162364 + 0.0553216i
\(484\) 0.876264 1.20607i 0.0398302 0.0548216i
\(485\) 10.9707 + 17.5888i 0.498153 + 0.798666i
\(486\) −4.61423 + 14.8899i −0.209306 + 0.675419i
\(487\) 9.45297 1.49720i 0.428355 0.0678448i 0.0614653 0.998109i \(-0.480423\pi\)
0.366890 + 0.930264i \(0.380423\pi\)
\(488\) 14.4247 2.28464i 0.652974 0.103421i
\(489\) 0.685271 3.64638i 0.0309890 0.164895i
\(490\) 1.10119 15.5646i 0.0497468 0.703137i
\(491\) −6.14271 + 8.45471i −0.277216 + 0.381556i −0.924809 0.380431i \(-0.875776\pi\)
0.647593 + 0.761986i \(0.275776\pi\)
\(492\) 3.59510 1.05513i 0.162080 0.0475688i
\(493\) 4.32341 + 4.32341i 0.194716 + 0.194716i
\(494\) 4.91445 + 15.1251i 0.221111 + 0.680511i
\(495\) 0.601410 + 20.6773i 0.0270314 + 0.929378i
\(496\) −2.45755 + 7.56355i −0.110347 + 0.339613i
\(497\) −0.664674 + 0.338668i −0.0298147 + 0.0151913i
\(498\) 9.88492 + 14.4601i 0.442954 + 0.647973i
\(499\) 15.0118i 0.672022i −0.941858 0.336011i \(-0.890922\pi\)
0.941858 0.336011i \(-0.109078\pi\)
\(500\) −11.1635 0.612561i −0.499249 0.0273946i
\(501\) −5.28441 + 4.98961i −0.236090 + 0.222920i
\(502\) 0.0482291 0.304507i 0.00215257 0.0135908i
\(503\) 5.04097 + 9.89345i 0.224766 + 0.441127i 0.975658 0.219297i \(-0.0703764\pi\)
−0.750893 + 0.660424i \(0.770376\pi\)
\(504\) −0.413627 0.161159i −0.0184244 0.00717859i
\(505\) −0.809072 9.33578i −0.0360032 0.415437i
\(506\) −14.4994 + 4.71115i −0.644578 + 0.209436i
\(507\) −13.2757 0.380921i −0.589596 0.0169173i
\(508\) 4.04816 7.94495i 0.179608 0.352500i
\(509\) −31.3045 22.7440i −1.38755 1.00811i −0.996130 0.0878971i \(-0.971985\pi\)
−0.391416 0.920214i \(-0.628015\pi\)
\(510\) 11.1148 9.10047i 0.492173 0.402976i
\(511\) 1.28808 0.935846i 0.0569814 0.0413994i
\(512\) 0.156434 + 0.987688i 0.00691349 + 0.0436501i
\(513\) −13.7329 11.9087i −0.606322 0.525780i
\(514\) 4.24694 + 5.84540i 0.187324 + 0.257830i
\(515\) 33.2050 20.7110i 1.46319 0.912635i
\(516\) 0.868940 + 6.73050i 0.0382529 + 0.296294i
\(517\) 14.7316 + 7.50612i 0.647895 + 0.330119i
\(518\) 0.879477 0.879477i 0.0386420 0.0386420i
\(519\) 0.0902495 0.165230i 0.00396151 0.00725281i
\(520\) −2.29487 + 9.90319i −0.100637 + 0.434283i
\(521\) −20.0378 6.51069i −0.877874 0.285239i −0.164800 0.986327i \(-0.552698\pi\)
−0.713074 + 0.701089i \(0.752698\pi\)
\(522\) 4.52783 1.98880i 0.198178 0.0870472i
\(523\) 11.4878 + 1.81949i 0.502326 + 0.0795606i 0.402455 0.915440i \(-0.368157\pi\)
0.0998710 + 0.995000i \(0.468157\pi\)
\(524\) −1.68836 −0.0737565
\(525\) −1.04634 + 0.739824i −0.0456659 + 0.0322886i
\(526\) −5.22487 −0.227815
\(527\) −29.1343 4.61442i −1.26911 0.201007i
\(528\) 1.79551 5.03028i 0.0781396 0.218915i
\(529\) −1.37184 0.445739i −0.0596454 0.0193800i
\(530\) 10.0687 + 23.7746i 0.437358 + 1.03270i
\(531\) 9.81416 + 37.3750i 0.425898 + 1.62194i
\(532\) 0.366021 0.366021i 0.0158690 0.0158690i
\(533\) −8.76237 4.46465i −0.379541 0.193386i
\(534\) −13.0228 + 1.68131i −0.563552 + 0.0727572i
\(535\) 1.10818 + 0.931423i 0.0479109 + 0.0402689i
\(536\) 2.13478 + 2.93827i 0.0922084 + 0.126914i
\(537\) 1.69674 2.19980i 0.0732196 0.0949283i
\(538\) −0.355485 2.24445i −0.0153261 0.0967649i
\(539\) 17.4087 12.6482i 0.749847 0.544796i
\(540\) −3.59479 11.0489i −0.154695 0.475468i
\(541\) −13.9722 10.1514i −0.600713 0.436443i 0.245419 0.969417i \(-0.421074\pi\)
−0.846132 + 0.532974i \(0.821074\pi\)
\(542\) −8.56276 + 16.8054i −0.367802 + 0.721852i
\(543\) 0.627438 21.8673i 0.0269259 0.938414i
\(544\) −3.52754 + 1.14617i −0.151242 + 0.0491415i
\(545\) 0.0868506 0.144276i 0.00372027 0.00618010i
\(546\) 0.498979 + 1.05291i 0.0213543 + 0.0450604i
\(547\) 2.54530 + 4.99544i 0.108829 + 0.213590i 0.938998 0.343923i \(-0.111756\pi\)
−0.830169 + 0.557512i \(0.811756\pi\)
\(548\) 2.28802 14.4460i 0.0977393 0.617101i
\(549\) 43.7414 + 2.51221i 1.86684 + 0.107219i
\(550\) −9.25891 12.3289i −0.394801 0.525708i
\(551\) 5.76660i 0.245666i
\(552\) 7.06923 4.83252i 0.300887 0.205686i
\(553\) −1.18882 + 0.605732i −0.0505536 + 0.0257583i
\(554\) 5.12021 15.7584i 0.217537 0.669510i
\(555\) 32.3938 + 3.22789i 1.37504 + 0.137016i
\(556\) −5.51012 16.9584i −0.233681 0.719197i
\(557\) −0.714899 0.714899i −0.0302913 0.0302913i 0.691799 0.722090i \(-0.256818\pi\)
−0.722090 + 0.691799i \(0.756818\pi\)
\(558\) −12.0326 + 20.6019i −0.509379 + 0.872149i
\(559\) 10.4699 14.4106i 0.442830 0.609504i
\(560\) 0.321111 0.0797827i 0.0135694 0.00337143i
\(561\) 19.4698 + 3.65898i 0.822015 + 0.154482i
\(562\) 24.7345 3.91756i 1.04336 0.165252i
\(563\) −1.65657 + 0.262374i −0.0698159 + 0.0110578i −0.191245 0.981542i \(-0.561252\pi\)
0.121429 + 0.992600i \(0.461252\pi\)
\(564\) −9.12684 1.71522i −0.384309 0.0722238i
\(565\) −37.1450 + 9.22898i −1.56270 + 0.388266i
\(566\) 15.7508 21.6791i 0.662055 0.911241i
\(567\) −1.10957 0.736474i −0.0465975 0.0309290i
\(568\) 3.56480 + 3.56480i 0.149576 + 0.149576i
\(569\) −3.81378 11.7376i −0.159882 0.492066i 0.838741 0.544531i \(-0.183292\pi\)
−0.998623 + 0.0524648i \(0.983292\pi\)
\(570\) 13.4817 + 1.34338i 0.564686 + 0.0562681i
\(571\) −1.99738 + 6.14731i −0.0835879 + 0.257257i −0.984112 0.177549i \(-0.943183\pi\)
0.900524 + 0.434806i \(0.143183\pi\)
\(572\) −12.4911 + 6.36454i −0.522280 + 0.266115i
\(573\) −29.8456 + 20.4024i −1.24682 + 0.852325i
\(574\) 0.320088i 0.0133602i
\(575\) −0.390937 24.7166i −0.0163032 1.03075i
\(576\) −0.172016 + 2.99506i −0.00716735 + 0.124794i
\(577\) −5.12648 + 32.3673i −0.213418 + 1.34747i 0.615516 + 0.788124i \(0.288947\pi\)
−0.828935 + 0.559346i \(0.811053\pi\)
\(578\) 1.47220 + 2.88935i 0.0612354 + 0.120181i
\(579\) −4.98738 10.5240i −0.207268 0.437364i
\(580\) −1.90104 + 3.15800i −0.0789365 + 0.131129i
\(581\) −1.42317 + 0.462415i −0.0590429 + 0.0191842i
\(582\) 0.460539 16.0506i 0.0190900 0.665318i
\(583\) −16.1648 + 31.7252i −0.669477 + 1.31392i
\(584\) −8.70495 6.32451i −0.360213 0.261710i
\(585\) −13.0494 + 27.5639i −0.539527 + 1.13963i
\(586\) −2.04255 + 1.48400i −0.0843770 + 0.0613035i
\(587\) −4.09589 25.8604i −0.169056 1.06737i −0.915615 0.402056i \(-0.868296\pi\)
0.746559 0.665319i \(-0.231704\pi\)
\(588\) −7.38175 + 9.57035i −0.304418 + 0.394675i
\(589\) −16.3524 22.5072i −0.673790 0.927392i
\(590\) −22.0485 18.5317i −0.907722 0.762937i
\(591\) −7.43533 + 0.959936i −0.305849 + 0.0394865i
\(592\) −7.48933 3.81600i −0.307810 0.156837i
\(593\) 28.6751 28.6751i 1.17754 1.17754i 0.197176 0.980368i \(-0.436823\pi\)
0.980368 0.197176i \(-0.0631772\pi\)
\(594\) 8.47463 13.5989i 0.347718 0.557968i
\(595\) 0.478593 + 1.13007i 0.0196204 + 0.0463282i
\(596\) −14.6925 4.77388i −0.601828 0.195546i
\(597\) −0.355672 + 0.996445i −0.0145567 + 0.0407818i
\(598\) −22.1994 3.51603i −0.907799 0.143781i
\(599\) −23.8130 −0.972971 −0.486486 0.873689i \(-0.661721\pi\)
−0.486486 + 0.873689i \(0.661721\pi\)
\(600\) 6.94020 + 5.18011i 0.283333 + 0.211477i
\(601\) −24.9278 −1.01683 −0.508413 0.861113i \(-0.669768\pi\)
−0.508413 + 0.861113i \(0.669768\pi\)
\(602\) −0.572630 0.0906956i −0.0233386 0.00369648i
\(603\) 4.38175 + 9.97580i 0.178439 + 0.406246i
\(604\) −6.74437 2.19138i −0.274424 0.0891659i
\(605\) −0.752536 + 3.24746i −0.0305949 + 0.132028i
\(606\) −3.47946 + 6.37026i −0.141343 + 0.258774i
\(607\) −12.2020 + 12.2020i −0.495265 + 0.495265i −0.909960 0.414695i \(-0.863888\pi\)
0.414695 + 0.909960i \(0.363888\pi\)
\(608\) −3.11691 1.58815i −0.126408 0.0644079i
\(609\) 0.0540962 + 0.419010i 0.00219209 + 0.0169791i
\(610\) −27.7085 + 17.2827i −1.12189 + 0.699755i
\(611\) 14.3273 + 19.7198i 0.579620 + 0.797778i
\(612\) −11.0719 + 1.10765i −0.447557 + 0.0447741i
\(613\) −0.289494 1.82779i −0.0116926 0.0738239i 0.981152 0.193237i \(-0.0618987\pi\)
−0.992845 + 0.119413i \(0.961899\pi\)
\(614\) −20.7493 + 15.0753i −0.837375 + 0.608388i
\(615\) −6.48232 + 5.30752i −0.261392 + 0.214020i
\(616\) 0.369154 + 0.268206i 0.0148736 + 0.0108063i
\(617\) −2.00017 + 3.92556i −0.0805239 + 0.158037i −0.927758 0.373183i \(-0.878266\pi\)
0.847234 + 0.531220i \(0.178266\pi\)
\(618\) −30.3011 0.869429i −1.21889 0.0349736i
\(619\) −4.50152 + 1.46263i −0.180931 + 0.0587882i −0.398082 0.917350i \(-0.630324\pi\)
0.217150 + 0.976138i \(0.430324\pi\)
\(620\) −1.53538 17.7166i −0.0616624 0.711514i
\(621\) 23.8071 9.65226i 0.955347 0.387332i
\(622\) −4.78141 9.38405i −0.191717 0.376266i
\(623\) 0.175486 1.10798i 0.00703072 0.0443902i
\(624\) 5.72534 5.40595i 0.229197 0.216411i
\(625\) 23.5202 8.47351i 0.940808 0.338940i
\(626\) 17.7041i 0.707599i
\(627\) 10.5443 + 15.4247i 0.421099 + 0.616002i
\(628\) 6.43684 3.27973i 0.256858 0.130876i
\(629\) 9.63406 29.6506i 0.384135 1.18225i
\(630\) 0.992202 0.0288587i 0.0395303 0.00114976i
\(631\) 9.68700 + 29.8135i 0.385633 + 1.18686i 0.936020 + 0.351947i \(0.114480\pi\)
−0.550387 + 0.834910i \(0.685520\pi\)
\(632\) 6.37589 + 6.37589i 0.253619 + 0.253619i
\(633\) 7.54998 2.21585i 0.300085 0.0880720i
\(634\) −2.99350 + 4.12020i −0.118887 + 0.163634i
\(635\) −1.40714 + 19.8889i −0.0558405 + 0.789268i
\(636\) 3.69380 19.6551i 0.146469 0.779374i
\(637\) 31.3333 4.96270i 1.24147 0.196629i
\(638\) −5.02075 + 0.795208i −0.198773 + 0.0314826i
\(639\) 8.17356 + 12.7253i 0.323341 + 0.503405i
\(640\) −1.18338 1.89726i −0.0467773 0.0749959i
\(641\) −17.3534 + 23.8849i −0.685419 + 0.943398i −0.999983 0.00583804i \(-0.998142\pi\)
0.314564 + 0.949236i \(0.398142\pi\)
\(642\) −0.315779 1.07594i −0.0124628 0.0424641i
\(643\) −23.8141 23.8141i −0.939135 0.939135i 0.0591164 0.998251i \(-0.481172\pi\)
−0.998251 + 0.0591164i \(0.981172\pi\)
\(644\) 0.226064 + 0.695754i 0.00890818 + 0.0274166i
\(645\) −7.65827 13.1006i −0.301544 0.515834i
\(646\) 4.00951 12.3400i 0.157752 0.485511i
\(647\) 32.2362 16.4252i 1.26734 0.645740i 0.314509 0.949254i \(-0.398160\pi\)
0.952827 + 0.303514i \(0.0981601\pi\)
\(648\) −2.41637 + 8.66955i −0.0949239 + 0.340572i
\(649\) 39.7202i 1.55915i
\(650\) −3.91053 22.3921i −0.153383 0.878290i
\(651\) −1.39933 1.48200i −0.0548441 0.0580843i
\(652\) 0.335098 2.11572i 0.0131234 0.0828581i
\(653\) 7.26139 + 14.2513i 0.284160 + 0.557696i 0.988329 0.152337i \(-0.0486799\pi\)
−0.704168 + 0.710033i \(0.748680\pi\)
\(654\) −0.117875 + 0.0558617i −0.00460930 + 0.00218436i
\(655\) 3.47639 1.47228i 0.135834 0.0575267i
\(656\) 2.05731 0.668459i 0.0803243 0.0260990i
\(657\) −21.4789 24.0964i −0.837971 0.940091i
\(658\) 0.360181 0.706895i 0.0140413 0.0275576i
\(659\) 9.25834 + 6.72658i 0.360654 + 0.262030i 0.753325 0.657649i \(-0.228449\pi\)
−0.392671 + 0.919679i \(0.628449\pi\)
\(660\) 0.689480 + 11.9232i 0.0268380 + 0.464110i
\(661\) 5.86553 4.26156i 0.228143 0.165755i −0.467842 0.883812i \(-0.654968\pi\)
0.695984 + 0.718057i \(0.254968\pi\)
\(662\) −2.29836 14.5113i −0.0893285 0.563998i
\(663\) 23.1262 + 17.8376i 0.898146 + 0.692753i
\(664\) 5.94416 + 8.18143i 0.230678 + 0.317501i
\(665\) −0.434471 + 1.07282i −0.0168481 + 0.0416023i
\(666\) −19.5171 15.9672i −0.756271 0.618716i
\(667\) −7.26155 3.69994i −0.281168 0.143262i
\(668\) −2.96707 + 2.96707i −0.114800 + 0.114800i
\(669\) 29.6587 + 16.1997i 1.14667 + 0.626317i
\(670\) −6.95778 4.18841i −0.268803 0.161813i
\(671\) −42.8316 13.9168i −1.65350 0.537254i
\(672\) −0.241378 0.0861576i −0.00931136 0.00332360i
\(673\) 21.3991 + 3.38928i 0.824874 + 0.130647i 0.554580 0.832131i \(-0.312879\pi\)
0.270294 + 0.962778i \(0.412879\pi\)
\(674\) −24.7626 −0.953821
\(675\) 17.0365 + 19.6152i 0.655737 + 0.754989i
\(676\) −7.66790 −0.294919
\(677\) −1.71330 0.271360i −0.0658476 0.0104292i 0.123424 0.992354i \(-0.460613\pi\)
−0.189271 + 0.981925i \(0.560613\pi\)
\(678\) 27.9218 + 9.96641i 1.07233 + 0.382758i
\(679\) 1.30465 + 0.423905i 0.0500677 + 0.0162680i
\(680\) 6.26381 5.43605i 0.240206 0.208463i
\(681\) −18.3692 10.0334i −0.703911 0.384479i
\(682\) 17.3411 17.3411i 0.664025 0.664025i
\(683\) −11.0971 5.65426i −0.424619 0.216354i 0.228604 0.973519i \(-0.426584\pi\)
−0.653224 + 0.757165i \(0.726584\pi\)
\(684\) −8.12263 6.64524i −0.310576 0.254087i
\(685\) 7.88602 + 31.7398i 0.301310 + 1.21272i
\(686\) −1.21575 1.67334i −0.0464176 0.0638883i
\(687\) 8.48970 + 6.54823i 0.323902 + 0.249831i
\(688\) 0.612927 + 3.86987i 0.0233676 + 0.147537i
\(689\) −42.4675 + 30.8544i −1.61788 + 1.17546i
\(690\) −10.3417 + 16.1148i −0.393702 + 0.613479i
\(691\) −30.9813 22.5093i −1.17859 0.856293i −0.186574 0.982441i \(-0.559738\pi\)
−0.992011 + 0.126148i \(0.959738\pi\)
\(692\) 0.0493481 0.0968510i 0.00187593 0.00368172i
\(693\) 0.910863 + 1.02187i 0.0346008 + 0.0388175i
\(694\) 30.3898 9.87425i 1.15358 0.374821i
\(695\) 26.1335 + 30.1129i 0.991300 + 1.14225i
\(696\) 2.58013 1.22274i 0.0977997 0.0463477i
\(697\) 3.64254 + 7.14889i 0.137971 + 0.270784i
\(698\) −4.23889 + 26.7633i −0.160445 + 1.01301i
\(699\) −9.00790 9.54010i −0.340710 0.360840i
\(700\) −0.591604 + 0.444288i −0.0223605 + 0.0167925i
\(701\) 22.4631i 0.848418i −0.905564 0.424209i \(-0.860552\pi\)
0.905564 0.424209i \(-0.139448\pi\)
\(702\) 20.2339 12.1911i 0.763679 0.460124i
\(703\) 26.1991 13.3491i 0.988119 0.503472i
\(704\) 0.952916 2.93277i 0.0359144 0.110533i
\(705\) 20.2881 4.42706i 0.764094 0.166733i
\(706\) 1.91730 + 5.90085i 0.0721587 + 0.222082i
\(707\) −0.438483 0.438483i −0.0164909 0.0164909i
\(708\) 6.28277 + 21.4071i 0.236121 + 0.804527i
\(709\) −23.3849 + 32.1865i −0.878238 + 1.20879i 0.0986680 + 0.995120i \(0.468542\pi\)
−0.976906 + 0.213670i \(0.931458\pi\)
\(710\) −10.4486 4.23146i −0.392128 0.158804i
\(711\) 14.6190 + 22.7601i 0.548254 + 0.853570i
\(712\) −7.48779 + 1.18595i −0.280617 + 0.0444453i
\(713\) 38.8339 6.15069i 1.45434 0.230345i
\(714\) 0.175576 0.934257i 0.00657078 0.0349637i
\(715\) 20.1696 23.9972i 0.754299 0.897445i
\(716\) 0.942782 1.29763i 0.0352334 0.0484946i
\(717\) 28.0566 8.23433i 1.04779 0.307517i
\(718\) 24.2007 + 24.2007i 0.903162 + 0.903162i
\(719\) 3.27225 + 10.0709i 0.122034 + 0.375583i 0.993349 0.115142i \(-0.0367322\pi\)
−0.871315 + 0.490724i \(0.836732\pi\)
\(720\) −2.25756 6.31692i −0.0841342 0.235418i
\(721\) 0.800268 2.46297i 0.0298036 0.0917259i
\(722\) −6.02555 + 3.07017i −0.224248 + 0.114260i
\(723\) −9.62632 14.0818i −0.358007 0.523709i
\(724\) 12.6303i 0.469400i
\(725\) 1.16047 8.16015i 0.0430987 0.303060i
\(726\) 1.87745 1.77272i 0.0696788 0.0657918i
\(727\) 2.03732 12.8632i 0.0755602 0.477068i −0.920672 0.390338i \(-0.872358\pi\)
0.996232 0.0867303i \(-0.0276418\pi\)
\(728\) 0.305402 + 0.599386i 0.0113190 + 0.0222147i
\(729\) −12.6180 + 23.8702i −0.467332 + 0.884082i
\(730\) 23.4388 + 5.43149i 0.867508 + 0.201028i
\(731\) −13.8213 + 4.49080i −0.511198 + 0.166098i
\(732\) 25.2853 + 0.725511i 0.934571 + 0.0268157i
\(733\) −19.6340 + 38.5339i −0.725199 + 1.42328i 0.173553 + 0.984824i \(0.444475\pi\)
−0.898752 + 0.438458i \(0.855525\pi\)
\(734\) 9.83080 + 7.14249i 0.362861 + 0.263634i
\(735\) 6.85373 26.1426i 0.252804 0.964284i
\(736\) 3.99972 2.90597i 0.147432 0.107115i
\(737\) −1.75202 11.0618i −0.0645364 0.407467i
\(738\) 6.45731 0.645996i 0.237697 0.0237794i
\(739\) −7.30628 10.0562i −0.268766 0.369924i 0.653207 0.757180i \(-0.273423\pi\)
−0.921973 + 0.387255i \(0.873423\pi\)
\(740\) 18.7483 + 1.32644i 0.689203 + 0.0487609i
\(741\) 3.52700 + 27.3189i 0.129568 + 1.00358i
\(742\) 1.52233 + 0.775666i 0.0558865 + 0.0284756i
\(743\) 5.87728 5.87728i 0.215616 0.215616i −0.591032 0.806648i \(-0.701279\pi\)
0.806648 + 0.591032i \(0.201279\pi\)
\(744\) −6.60299 + 12.0889i −0.242077 + 0.443200i
\(745\) 34.4151 2.98254i 1.26087 0.109272i
\(746\) 24.3715 + 7.91878i 0.892304 + 0.289927i
\(747\) 12.2007 + 27.7770i 0.446401 + 1.01631i
\(748\) 11.2968 + 1.78924i 0.413054 + 0.0654213i
\(749\) 0.0957962 0.00350032
\(750\) −18.8072 4.61403i −0.686742 0.168480i
\(751\) −30.0007 −1.09474 −0.547371 0.836890i \(-0.684371\pi\)
−0.547371 + 0.836890i \(0.684371\pi\)
\(752\) −5.29562 0.838744i −0.193111 0.0305858i
\(753\) 0.179512 0.502918i 0.00654177 0.0183273i
\(754\) −7.12739 2.31583i −0.259564 0.0843376i
\(755\) 15.7977 1.36909i 0.574939 0.0498262i
\(756\) −0.652541 0.406655i −0.0237327 0.0147899i
\(757\) 0.751496 0.751496i 0.0273136 0.0273136i −0.693318 0.720632i \(-0.743852\pi\)
0.720632 + 0.693318i \(0.243852\pi\)
\(758\) −5.75606 2.93286i −0.209069 0.106526i
\(759\) −26.1888 + 3.38110