Properties

Label 177.4.e.b.4.9
Level $177$
Weight $4$
Character 177.4
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(420\)
Relative dimension: \(15\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 4.9
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.b.133.9

$q$-expansion

\(f(q)\) \(=\) \(q+(1.24705 + 0.135624i) q^{2} +(1.94216 - 2.28649i) q^{3} +(-6.27623 - 1.38150i) q^{4} +(16.4405 + 12.4978i) q^{5} +(2.73207 - 2.58795i) q^{6} +(-11.4144 + 28.6480i) q^{7} +(-17.1493 - 5.77826i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(1.24705 + 0.135624i) q^{2} +(1.94216 - 2.28649i) q^{3} +(-6.27623 - 1.38150i) q^{4} +(16.4405 + 12.4978i) q^{5} +(2.73207 - 2.58795i) q^{6} +(-11.4144 + 28.6480i) q^{7} +(-17.1493 - 5.77826i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(18.8071 + 17.8150i) q^{10} +(-49.2402 + 22.7810i) q^{11} +(-15.3482 + 11.6674i) q^{12} +(0.101299 - 0.617895i) q^{13} +(-18.1197 + 34.1774i) q^{14} +(60.5061 - 13.3184i) q^{15} +(26.0579 + 12.0557i) q^{16} +(-27.7891 - 69.7455i) q^{17} +(-0.611206 - 11.2730i) q^{18} +(45.0158 + 66.3933i) q^{19} +(-85.9189 - 101.152i) q^{20} +(43.3347 + 81.7380i) q^{21} +(-64.4945 + 21.7307i) q^{22} +(-8.73367 + 161.083i) q^{23} +(-46.5185 + 27.9893i) q^{24} +(80.6557 + 290.496i) q^{25} +(0.210126 - 0.756806i) q^{26} +(-23.1351 - 13.9200i) q^{27} +(111.217 - 164.033i) q^{28} +(213.866 - 23.2594i) q^{29} +(77.2602 - 8.40255i) q^{30} +(120.151 - 177.210i) q^{31} +(154.910 + 93.2061i) q^{32} +(-43.5440 + 156.831i) q^{33} +(-25.1951 - 90.7447i) q^{34} +(-545.695 + 328.334i) q^{35} +(-3.13130 + 57.7535i) q^{36} +(-166.688 + 56.1636i) q^{37} +(47.1322 + 88.9008i) q^{38} +(-1.21607 - 1.43167i) q^{39} +(-209.728 - 309.325i) q^{40} +(-12.6394 - 233.120i) q^{41} +(42.9547 + 107.808i) q^{42} +(-31.6715 - 14.6528i) q^{43} +(340.515 - 74.9530i) q^{44} +(87.0601 - 164.213i) q^{45} +(-32.7381 + 199.694i) q^{46} +(97.4073 - 74.0471i) q^{47} +(78.1736 - 36.1670i) q^{48} +(-441.404 - 418.121i) q^{49} +(61.1831 + 373.200i) q^{50} +(-213.443 - 71.9173i) q^{51} +(-1.48940 + 3.73811i) q^{52} +(177.141 - 167.797i) q^{53} +(-26.9627 - 20.4965i) q^{54} +(-1094.25 - 240.862i) q^{55} +(361.285 - 425.338i) q^{56} +(239.235 + 26.0184i) q^{57} +269.856 q^{58} +(401.395 + 210.384i) q^{59} -398.150 q^{60} +(439.961 + 47.8487i) q^{61} +(173.868 - 204.694i) q^{62} +(271.056 + 59.6639i) q^{63} +(-2.31769 - 1.76186i) q^{64} +(9.38771 - 8.89251i) q^{65} +(-75.5715 + 189.670i) q^{66} +(-21.5298 - 7.25424i) q^{67} +(78.0575 + 476.130i) q^{68} +(351.352 + 332.818i) q^{69} +(-725.037 + 335.438i) q^{70} +(-416.198 + 316.386i) q^{71} +(-26.3493 + 160.724i) q^{72} +(-217.541 + 410.327i) q^{73} +(-215.484 + 47.4317i) q^{74} +(820.860 + 379.770i) q^{75} +(-190.807 - 478.889i) q^{76} +(-90.5809 - 1670.67i) q^{77} +(-1.32233 - 1.95029i) q^{78} +(334.530 + 393.840i) q^{79} +(277.736 + 523.866i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(15.8548 - 292.425i) q^{82} +(-457.260 + 275.124i) q^{83} +(-159.058 - 572.874i) q^{84} +(414.794 - 1493.95i) q^{85} +(-37.5085 - 22.5681i) q^{86} +(362.180 - 534.176i) q^{87} +(976.068 - 106.154i) q^{88} +(-590.213 + 64.1896i) q^{89} +(130.839 - 192.973i) q^{90} +(16.5452 + 9.95493i) q^{91} +(277.351 - 998.929i) q^{92} +(-171.835 - 618.895i) q^{93} +(131.514 - 79.1293i) q^{94} +(-89.6847 + 1654.14i) q^{95} +(513.974 - 173.178i) q^{96} +(-744.698 - 1404.65i) q^{97} +(-493.744 - 581.281i) q^{98} +(274.023 + 404.154i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} + O(q^{10}) \) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} - 754q^{10} + 64q^{11} - 168q^{12} + 90q^{13} + 1024q^{14} - 42q^{15} - 172q^{16} + 96q^{17} + 18q^{18} + 16q^{19} - 178q^{20} - 243q^{21} - 604q^{22} + 48q^{23} + 198q^{24} - 173q^{25} + 156q^{26} - 405q^{27} + 84q^{28} - 50q^{29} + 174q^{30} + 222q^{31} - 45q^{32} + 192q^{33} - 64q^{34} - 132q^{35} - 504q^{36} + 30q^{37} - 108q^{38} + 270q^{39} + 6984q^{40} + 400q^{41} + 114q^{42} + 1220q^{43} + 1180q^{44} - 126q^{45} + 4938q^{46} + 370q^{47} - 516q^{48} + 771q^{49} + 1048q^{50} + 288q^{51} - 1964q^{52} - 822q^{53} + 54q^{54} - 2342q^{55} - 13824q^{56} + 48q^{57} - 13150q^{58} - 3423q^{59} - 534q^{60} - 2182q^{61} + 845q^{62} + 54q^{63} - 8018q^{64} + 4140q^{65} - 1812q^{66} + 506q^{67} + 4826q^{68} - 3684q^{69} + 6882q^{70} + 5874q^{71} + 594q^{72} + 206q^{73} + 11124q^{74} - 867q^{75} + 16940q^{76} + 9940q^{77} + 468q^{78} - 1762q^{79} - 28954q^{80} - 1215q^{81} + 3770q^{82} - 1216q^{83} - 8013q^{84} - 420q^{85} - 2256q^{86} + 5940q^{87} + 13458q^{88} - 1580q^{89} + 522q^{90} - 12204q^{91} + 4562q^{92} + 666q^{93} + 176q^{94} - 28456q^{95} + 2040q^{96} + 2574q^{97} + 50690q^{98} + 576q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.24705 + 0.135624i 0.440897 + 0.0479505i 0.325876 0.945413i \(-0.394341\pi\)
0.115021 + 0.993363i \(0.463306\pi\)
\(3\) 1.94216 2.28649i 0.373769 0.440034i
\(4\) −6.27623 1.38150i −0.784529 0.172688i
\(5\) 16.4405 + 12.4978i 1.47048 + 1.11783i 0.967294 + 0.253658i \(0.0816339\pi\)
0.503191 + 0.864175i \(0.332159\pi\)
\(6\) 2.73207 2.58795i 0.185894 0.176088i
\(7\) −11.4144 + 28.6480i −0.616321 + 1.54685i 0.206439 + 0.978459i \(0.433812\pi\)
−0.822760 + 0.568389i \(0.807567\pi\)
\(8\) −17.1493 5.77826i −0.757898 0.255366i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) 18.8071 + 17.8150i 0.594732 + 0.563360i
\(11\) −49.2402 + 22.7810i −1.34968 + 0.624429i −0.955605 0.294650i \(-0.904797\pi\)
−0.394075 + 0.919078i \(0.628935\pi\)
\(12\) −15.3482 + 11.6674i −0.369221 + 0.280675i
\(13\) 0.101299 0.617895i 0.00216117 0.0131826i −0.985724 0.168370i \(-0.946150\pi\)
0.987885 + 0.155187i \(0.0495980\pi\)
\(14\) −18.1197 + 34.1774i −0.345906 + 0.652449i
\(15\) 60.5061 13.3184i 1.04151 0.229253i
\(16\) 26.0579 + 12.0557i 0.407154 + 0.188370i
\(17\) −27.7891 69.7455i −0.396462 0.995045i −0.982750 0.184942i \(-0.940790\pi\)
0.586288 0.810103i \(-0.300589\pi\)
\(18\) −0.611206 11.2730i −0.00800349 0.147616i
\(19\) 45.0158 + 66.3933i 0.543544 + 0.801667i 0.995928 0.0901563i \(-0.0287367\pi\)
−0.452384 + 0.891823i \(0.649426\pi\)
\(20\) −85.9189 101.152i −0.960602 1.13091i
\(21\) 43.3347 + 81.7380i 0.450305 + 0.849366i
\(22\) −64.4945 + 21.7307i −0.625012 + 0.210591i
\(23\) −8.73367 + 161.083i −0.0791781 + 1.46035i 0.641521 + 0.767106i \(0.278304\pi\)
−0.720699 + 0.693248i \(0.756179\pi\)
\(24\) −46.5185 + 27.9893i −0.395648 + 0.238054i
\(25\) 80.6557 + 290.496i 0.645246 + 2.32397i
\(26\) 0.210126 0.756806i 0.00158497 0.00570853i
\(27\) −23.1351 13.9200i −0.164902 0.0992184i
\(28\) 111.217 164.033i 0.750644 1.10712i
\(29\) 213.866 23.2594i 1.36945 0.148936i 0.606339 0.795206i \(-0.292638\pi\)
0.763109 + 0.646270i \(0.223672\pi\)
\(30\) 77.2602 8.40255i 0.470190 0.0511363i
\(31\) 120.151 177.210i 0.696124 1.02671i −0.301198 0.953562i \(-0.597386\pi\)
0.997321 0.0731439i \(-0.0233032\pi\)
\(32\) 154.910 + 93.2061i 0.855764 + 0.514896i
\(33\) −43.5440 + 156.831i −0.229698 + 0.827298i
\(34\) −25.1951 90.7447i −0.127086 0.457723i
\(35\) −545.695 + 328.334i −2.63541 + 1.58567i
\(36\) −3.13130 + 57.7535i −0.0144968 + 0.267377i
\(37\) −166.688 + 56.1636i −0.740629 + 0.249547i −0.664228 0.747530i \(-0.731240\pi\)
−0.0764011 + 0.997077i \(0.524343\pi\)
\(38\) 47.1322 + 88.9008i 0.201207 + 0.379516i
\(39\) −1.21607 1.43167i −0.00499300 0.00587822i
\(40\) −209.728 309.325i −0.829021 1.22272i
\(41\) −12.6394 233.120i −0.0481449 0.887980i −0.918467 0.395497i \(-0.870572\pi\)
0.870322 0.492483i \(-0.163910\pi\)
\(42\) 42.9547 + 107.808i 0.157811 + 0.396076i
\(43\) −31.6715 14.6528i −0.112322 0.0519657i 0.362923 0.931819i \(-0.381779\pi\)
−0.475245 + 0.879853i \(0.657641\pi\)
\(44\) 340.515 74.9530i 1.16670 0.256809i
\(45\) 87.0601 164.213i 0.288403 0.543986i
\(46\) −32.7381 + 199.694i −0.104934 + 0.640070i
\(47\) 97.4073 74.0471i 0.302304 0.229806i −0.443014 0.896515i \(-0.646091\pi\)
0.745318 + 0.666709i \(0.232298\pi\)
\(48\) 78.1736 36.1670i 0.235071 0.108755i
\(49\) −441.404 418.121i −1.28689 1.21901i
\(50\) 61.1831 + 373.200i 0.173052 + 1.05557i
\(51\) −213.443 71.9173i −0.586039 0.197460i
\(52\) −1.48940 + 3.73811i −0.00397197 + 0.00996890i
\(53\) 177.141 167.797i 0.459097 0.434880i −0.422870 0.906190i \(-0.638977\pi\)
0.881967 + 0.471310i \(0.156219\pi\)
\(54\) −26.9627 20.4965i −0.0679474 0.0516523i
\(55\) −1094.25 240.862i −2.68269 0.590505i
\(56\) 361.285 425.338i 0.862120 1.01497i
\(57\) 239.235 + 26.0184i 0.555921 + 0.0604600i
\(58\) 269.856 0.610928
\(59\) 401.395 + 210.384i 0.885714 + 0.464231i
\(60\) −398.150 −0.856682
\(61\) 439.961 + 47.8487i 0.923463 + 0.100433i 0.557482 0.830189i \(-0.311768\pi\)
0.365982 + 0.930622i \(0.380733\pi\)
\(62\) 173.868 204.694i 0.356150 0.419292i
\(63\) 271.056 + 59.6639i 0.542060 + 0.119316i
\(64\) −2.31769 1.76186i −0.00452673 0.00344113i
\(65\) 9.38771 8.89251i 0.0179139 0.0169689i
\(66\) −75.5715 + 189.670i −0.140943 + 0.353739i
\(67\) −21.5298 7.25424i −0.0392580 0.0132276i 0.299604 0.954064i \(-0.403145\pi\)
−0.338862 + 0.940836i \(0.610042\pi\)
\(68\) 78.0575 + 476.130i 0.139204 + 0.849106i
\(69\) 351.352 + 332.818i 0.613012 + 0.580675i
\(70\) −725.037 + 335.438i −1.23798 + 0.572750i
\(71\) −416.198 + 316.386i −0.695685 + 0.528846i −0.892192 0.451656i \(-0.850833\pi\)
0.196507 + 0.980502i \(0.437040\pi\)
\(72\) −26.3493 + 160.724i −0.0431291 + 0.263076i
\(73\) −217.541 + 410.327i −0.348785 + 0.657878i −0.994388 0.105795i \(-0.966261\pi\)
0.645603 + 0.763673i \(0.276606\pi\)
\(74\) −215.484 + 47.4317i −0.338507 + 0.0745111i
\(75\) 820.860 + 379.770i 1.26380 + 0.584695i
\(76\) −190.807 478.889i −0.287988 0.722795i
\(77\) −90.5809 1670.67i −0.134060 2.47260i
\(78\) −1.32233 1.95029i −0.00191954 0.00283111i
\(79\) 334.530 + 393.840i 0.476425 + 0.560891i 0.946902 0.321521i \(-0.104194\pi\)
−0.470477 + 0.882412i \(0.655918\pi\)
\(80\) 277.736 + 523.866i 0.388148 + 0.732125i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) 15.8548 292.425i 0.0213521 0.393817i
\(83\) −457.260 + 275.124i −0.604708 + 0.363841i −0.784745 0.619819i \(-0.787206\pi\)
0.180037 + 0.983660i \(0.442378\pi\)
\(84\) −159.058 572.874i −0.206602 0.744115i
\(85\) 414.794 1493.95i 0.529303 1.90638i
\(86\) −37.5085 22.5681i −0.0470308 0.0282975i
\(87\) 362.180 534.176i 0.446319 0.658272i
\(88\) 976.068 106.154i 1.18238 0.128591i
\(89\) −590.213 + 64.1896i −0.702949 + 0.0764503i −0.452611 0.891708i \(-0.649507\pi\)
−0.250338 + 0.968158i \(0.580542\pi\)
\(90\) 130.839 192.973i 0.153241 0.226013i
\(91\) 16.5452 + 9.95493i 0.0190595 + 0.0114677i
\(92\) 277.351 998.929i 0.314303 1.13202i
\(93\) −171.835 618.895i −0.191597 0.690069i
\(94\) 131.514 79.1293i 0.144305 0.0868252i
\(95\) −89.6847 + 1654.14i −0.0968575 + 1.78643i
\(96\) 513.974 173.178i 0.546430 0.184114i
\(97\) −744.698 1404.65i −0.779511 1.47031i −0.879794 0.475356i \(-0.842319\pi\)
0.100282 0.994959i \(-0.468025\pi\)
\(98\) −493.744 581.281i −0.508936 0.599166i
\(99\) 274.023 + 404.154i 0.278186 + 0.410293i
\(100\) −104.893 1934.64i −0.104893 1.93464i
\(101\) 2.51717 + 6.31763i 0.00247988 + 0.00622403i 0.930211 0.367024i \(-0.119623\pi\)
−0.927732 + 0.373248i \(0.878244\pi\)
\(102\) −256.419 118.632i −0.248915 0.115160i
\(103\) 695.933 153.186i 0.665750 0.146543i 0.130777 0.991412i \(-0.458253\pi\)
0.534973 + 0.844869i \(0.320322\pi\)
\(104\) −5.30756 + 10.0111i −0.00500432 + 0.00943915i
\(105\) −309.096 + 1885.40i −0.287283 + 1.75235i
\(106\) 243.660 185.226i 0.223267 0.169724i
\(107\) 1402.33 648.786i 1.26699 0.586173i 0.332818 0.942991i \(-0.392000\pi\)
0.934174 + 0.356818i \(0.116138\pi\)
\(108\) 125.971 + 119.326i 0.112237 + 0.106316i
\(109\) −39.5722 241.380i −0.0347736 0.212110i 0.963724 0.266900i \(-0.0859993\pi\)
−0.998498 + 0.0547901i \(0.982551\pi\)
\(110\) −1331.91 448.772i −1.15448 0.388989i
\(111\) −195.317 + 490.207i −0.167015 + 0.419175i
\(112\) −642.806 + 608.898i −0.542317 + 0.513710i
\(113\) 537.811 + 408.833i 0.447726 + 0.340352i 0.804617 0.593793i \(-0.202370\pi\)
−0.356892 + 0.934146i \(0.616163\pi\)
\(114\) 294.809 + 64.8923i 0.242205 + 0.0533133i
\(115\) −2156.76 + 2539.14i −1.74886 + 2.05892i
\(116\) −1374.41 149.476i −1.10009 0.119642i
\(117\) −5.63529 −0.00445285
\(118\) 472.025 + 316.797i 0.368249 + 0.247149i
\(119\) 2315.27 1.78353
\(120\) −1114.59 121.219i −0.847899 0.0922146i
\(121\) 1043.96 1229.04i 0.784340 0.923396i
\(122\) 542.163 + 119.339i 0.402337 + 0.0885610i
\(123\) −557.573 423.856i −0.408737 0.310714i
\(124\) −998.915 + 946.222i −0.723429 + 0.685268i
\(125\) −1349.03 + 3385.82i −0.965290 + 2.42270i
\(126\) 329.927 + 111.165i 0.233272 + 0.0785984i
\(127\) −344.395 2100.72i −0.240631 1.46778i −0.780035 0.625735i \(-0.784799\pi\)
0.539405 0.842047i \(-0.318649\pi\)
\(128\) −1052.66 997.136i −0.726900 0.688556i
\(129\) −95.0144 + 43.9583i −0.0648492 + 0.0300024i
\(130\) 12.9130 9.81617i 0.00871185 0.00662258i
\(131\) −172.914 + 1054.73i −0.115325 + 0.703452i 0.864354 + 0.502883i \(0.167727\pi\)
−0.979680 + 0.200569i \(0.935721\pi\)
\(132\) 489.955 924.154i 0.323069 0.609373i
\(133\) −2415.87 + 531.773i −1.57505 + 0.346696i
\(134\) −25.8648 11.9664i −0.0166745 0.00771444i
\(135\) −206.386 517.989i −0.131577 0.330232i
\(136\) 73.5558 + 1356.66i 0.0463776 + 0.855385i
\(137\) 1179.25 + 1739.27i 0.735404 + 1.08464i 0.992969 + 0.118378i \(0.0377695\pi\)
−0.257565 + 0.966261i \(0.582920\pi\)
\(138\) 393.014 + 462.692i 0.242432 + 0.285413i
\(139\) 864.355 + 1630.35i 0.527436 + 0.994851i 0.993897 + 0.110309i \(0.0351840\pi\)
−0.466461 + 0.884542i \(0.654471\pi\)
\(140\) 3878.51 1306.82i 2.34138 0.788904i
\(141\) 19.8728 366.532i 0.0118694 0.218919i
\(142\) −561.928 + 338.101i −0.332084 + 0.199809i
\(143\) 9.08827 + 32.7330i 0.00531468 + 0.0191417i
\(144\) 69.1303 248.985i 0.0400060 0.144088i
\(145\) 3806.76 + 2290.45i 2.18024 + 1.31181i
\(146\) −326.935 + 482.192i −0.185324 + 0.273332i
\(147\) −1813.30 + 197.209i −1.01741 + 0.110650i
\(148\) 1123.76 122.216i 0.624139 0.0678792i
\(149\) −965.079 + 1423.39i −0.530620 + 0.782606i −0.994660 0.103208i \(-0.967089\pi\)
0.464040 + 0.885814i \(0.346399\pi\)
\(150\) 972.145 + 584.920i 0.529169 + 0.318390i
\(151\) 56.4900 203.458i 0.0304443 0.109650i −0.946767 0.321920i \(-0.895672\pi\)
0.977211 + 0.212270i \(0.0680855\pi\)
\(152\) −388.350 1398.71i −0.207233 0.746384i
\(153\) −578.978 + 348.359i −0.305932 + 0.184073i
\(154\) 113.625 2095.68i 0.0594554 1.09659i
\(155\) 4190.08 1411.80i 2.17133 0.731605i
\(156\) 5.65449 + 10.6655i 0.00290206 + 0.00547387i
\(157\) −1554.23 1829.78i −0.790070 0.930142i 0.208786 0.977961i \(-0.433049\pi\)
−0.998856 + 0.0478192i \(0.984773\pi\)
\(158\) 363.761 + 536.507i 0.183160 + 0.270140i
\(159\) −39.6292 730.917i −0.0197660 0.364563i
\(160\) 1381.93 + 3468.38i 0.682820 + 1.71375i
\(161\) −4515.02 2088.87i −2.21015 1.02252i
\(162\) −99.2309 + 21.8424i −0.0481254 + 0.0105932i
\(163\) −587.743 + 1108.60i −0.282427 + 0.532713i −0.983619 0.180259i \(-0.942307\pi\)
0.701193 + 0.712972i \(0.252651\pi\)
\(164\) −242.728 + 1480.57i −0.115572 + 0.704960i
\(165\) −2675.93 + 2034.19i −1.26255 + 0.959765i
\(166\) −607.538 + 281.077i −0.284061 + 0.131420i
\(167\) 1666.73 + 1578.81i 0.772310 + 0.731571i 0.968505 0.248994i \(-0.0801000\pi\)
−0.196195 + 0.980565i \(0.562859\pi\)
\(168\) −270.856 1652.15i −0.124387 0.758725i
\(169\) 2081.62 + 701.380i 0.947484 + 0.319245i
\(170\) 719.884 1806.77i 0.324780 0.815136i
\(171\) 524.124 496.476i 0.234390 0.222026i
\(172\) 178.535 + 135.718i 0.0791461 + 0.0601653i
\(173\) 2437.54 + 536.544i 1.07123 + 0.235796i 0.715372 0.698744i \(-0.246257\pi\)
0.355859 + 0.934540i \(0.384188\pi\)
\(174\) 524.103 617.021i 0.228346 0.268829i
\(175\) −9242.77 1005.21i −3.99250 0.434211i
\(176\) −1557.73 −0.667151
\(177\) 1260.61 509.185i 0.535330 0.216230i
\(178\) −744.729 −0.313594
\(179\) 2586.30 + 281.277i 1.07994 + 0.117450i 0.630749 0.775987i \(-0.282748\pi\)
0.449189 + 0.893437i \(0.351713\pi\)
\(180\) −773.270 + 910.364i −0.320201 + 0.376969i
\(181\) −1896.54 417.460i −0.778833 0.171434i −0.192275 0.981341i \(-0.561587\pi\)
−0.586558 + 0.809907i \(0.699518\pi\)
\(182\) 19.2825 + 14.6582i 0.00785338 + 0.00596999i
\(183\) 963.880 913.036i 0.389356 0.368817i
\(184\) 1080.56 2711.99i 0.432933 1.08658i
\(185\) −3442.35 1159.86i −1.36804 0.460945i
\(186\) −130.349 795.095i −0.0513853 0.313437i
\(187\) 2957.21 + 2801.22i 1.15643 + 1.09543i
\(188\) −713.647 + 330.168i −0.276851 + 0.128085i
\(189\) 662.854 503.888i 0.255108 0.193928i
\(190\) −336.182 + 2050.62i −0.128364 + 0.782988i
\(191\) −1376.97 + 2597.23i −0.521643 + 0.983923i 0.473050 + 0.881035i \(0.343153\pi\)
−0.994693 + 0.102887i \(0.967192\pi\)
\(192\) −8.52978 + 1.87755i −0.00320617 + 0.000705731i
\(193\) −1075.46 497.559i −0.401103 0.185570i 0.208958 0.977925i \(-0.432993\pi\)
−0.610061 + 0.792355i \(0.708855\pi\)
\(194\) −738.168 1852.66i −0.273182 0.685636i
\(195\) −2.10018 38.7355i −0.000771267 0.0142252i
\(196\) 2192.72 + 3234.02i 0.799097 + 1.17858i
\(197\) 607.249 + 714.909i 0.219618 + 0.258554i 0.860927 0.508728i \(-0.169884\pi\)
−0.641309 + 0.767283i \(0.721608\pi\)
\(198\) 286.907 + 541.163i 0.102978 + 0.194236i
\(199\) 2329.30 784.832i 0.829747 0.279574i 0.127797 0.991800i \(-0.459209\pi\)
0.701950 + 0.712226i \(0.252313\pi\)
\(200\) 295.373 5447.84i 0.104430 1.92610i
\(201\) −58.4011 + 35.1388i −0.0204940 + 0.0123308i
\(202\) 2.28221 + 8.21976i 0.000794928 + 0.00286307i
\(203\) −1774.83 + 6392.34i −0.613637 + 2.21012i
\(204\) 1240.26 + 746.242i 0.425666 + 0.256115i
\(205\) 2705.68 3990.57i 0.921817 1.35958i
\(206\) 888.636 96.6450i 0.300554 0.0326873i
\(207\) 1443.37 156.975i 0.484642 0.0527080i
\(208\) 10.0888 14.8798i 0.00336312 0.00496024i
\(209\) −3729.09 2243.72i −1.23419 0.742590i
\(210\) −641.163 + 2309.26i −0.210688 + 0.758830i
\(211\) −170.250 613.184i −0.0555473 0.200063i 0.930570 0.366114i \(-0.119312\pi\)
−0.986117 + 0.166051i \(0.946898\pi\)
\(212\) −1343.59 + 808.410i −0.435274 + 0.261895i
\(213\) −84.9117 + 1566.10i −0.0273148 + 0.503792i
\(214\) 1836.76 618.876i 0.586721 0.197689i
\(215\) −337.568 636.721i −0.107079 0.201972i
\(216\) 316.318 + 372.398i 0.0996421 + 0.117308i
\(217\) 3705.26 + 5464.85i 1.15912 + 1.70958i
\(218\) −16.6114 306.378i −0.00516084 0.0951861i
\(219\) 515.706 + 1294.33i 0.159124 + 0.399372i
\(220\) 6534.99 + 3023.41i 2.00268 + 0.926537i
\(221\) −45.9104 + 10.1056i −0.0139741 + 0.00307592i
\(222\) −310.053 + 584.822i −0.0937360 + 0.176805i
\(223\) 851.893 5196.32i 0.255816 1.56041i −0.476333 0.879265i \(-0.658034\pi\)
0.732149 0.681144i \(-0.238517\pi\)
\(224\) −4438.38 + 3373.97i −1.32389 + 1.00640i
\(225\) 2462.58 1139.31i 0.729654 0.337574i
\(226\) 615.228 + 582.774i 0.181081 + 0.171529i
\(227\) 378.840 + 2310.82i 0.110769 + 0.675658i 0.982583 + 0.185823i \(0.0594950\pi\)
−0.871815 + 0.489836i \(0.837057\pi\)
\(228\) −1465.55 493.802i −0.425695 0.143433i
\(229\) −762.899 + 1914.73i −0.220148 + 0.552529i −0.997021 0.0771277i \(-0.975425\pi\)
0.776874 + 0.629657i \(0.216804\pi\)
\(230\) −3033.95 + 2873.91i −0.869795 + 0.823914i
\(231\) −3995.88 3037.59i −1.13814 0.865189i
\(232\) −3802.05 836.895i −1.07593 0.236831i
\(233\) 2170.17 2554.93i 0.610184 0.718364i −0.367128 0.930171i \(-0.619659\pi\)
0.977312 + 0.211807i \(0.0679347\pi\)
\(234\) −7.02747 0.764284i −0.00196325 0.000213516i
\(235\) 2526.85 0.701419
\(236\) −2228.60 1874.95i −0.614702 0.517155i
\(237\) 1550.22 0.424884
\(238\) 2887.25 + 314.007i 0.786354 + 0.0855212i
\(239\) 3685.39 4338.77i 0.997438 1.17428i 0.0127557 0.999919i \(-0.495940\pi\)
0.984683 0.174356i \(-0.0557845\pi\)
\(240\) 1737.22 + 382.391i 0.467238 + 0.102847i
\(241\) 805.465 + 612.299i 0.215289 + 0.163658i 0.707261 0.706953i \(-0.249931\pi\)
−0.491972 + 0.870611i \(0.663724\pi\)
\(242\) 1468.55 1391.08i 0.390091 0.369514i
\(243\) −89.9436 + 225.741i −0.0237444 + 0.0595939i
\(244\) −2695.20 908.117i −0.707140 0.238263i
\(245\) −2031.35 12390.7i −0.529707 3.23107i
\(246\) −637.834 604.188i −0.165312 0.156592i
\(247\) 45.5842 21.0895i 0.0117427 0.00543276i
\(248\) −3084.48 + 2344.76i −0.789776 + 0.600372i
\(249\) −259.004 + 1579.85i −0.0659184 + 0.402085i
\(250\) −2141.51 + 4039.31i −0.541763 + 1.02187i
\(251\) 1126.44 247.947i 0.283267 0.0623518i −0.0710642 0.997472i \(-0.522640\pi\)
0.354331 + 0.935120i \(0.384708\pi\)
\(252\) −1618.78 748.929i −0.404658 0.187215i
\(253\) −3239.58 8130.72i −0.805022 2.02045i
\(254\) −144.568 2666.40i −0.0357126 0.658680i
\(255\) −2610.31 3849.92i −0.641035 0.945455i
\(256\) −1162.41 1368.49i −0.283790 0.334104i
\(257\) −1332.39 2513.15i −0.323393 0.609984i 0.667504 0.744606i \(-0.267363\pi\)
−0.990897 + 0.134622i \(0.957018\pi\)
\(258\) −124.449 + 41.9318i −0.0300305 + 0.0101184i
\(259\) 293.666 5416.35i 0.0704537 1.29944i
\(260\) −71.2045 + 42.8423i −0.0169843 + 0.0102191i
\(261\) −517.974 1865.57i −0.122842 0.442437i
\(262\) −358.680 + 1291.85i −0.0845775 + 0.304620i
\(263\) −120.763 72.6605i −0.0283139 0.0170359i 0.501327 0.865258i \(-0.332846\pi\)
−0.529640 + 0.848222i \(0.677673\pi\)
\(264\) 1652.96 2437.93i 0.385351 0.568350i
\(265\) 5009.37 544.801i 1.16122 0.126290i
\(266\) −3084.82 + 335.494i −0.711062 + 0.0773326i
\(267\) −999.519 + 1474.18i −0.229100 + 0.337897i
\(268\) 125.104 + 75.2729i 0.0285148 + 0.0171568i
\(269\) −422.825 + 1522.88i −0.0958367 + 0.345173i −0.995886 0.0906156i \(-0.971117\pi\)
0.900049 + 0.435788i \(0.143530\pi\)
\(270\) −187.120 673.947i −0.0421770 0.151908i
\(271\) −1535.57 + 923.922i −0.344204 + 0.207101i −0.677150 0.735845i \(-0.736785\pi\)
0.332946 + 0.942946i \(0.391957\pi\)
\(272\) 116.702 2152.43i 0.0260150 0.479818i
\(273\) 54.8953 18.4964i 0.0121700 0.00410055i
\(274\) 1234.69 + 2328.88i 0.272229 + 0.513478i
\(275\) −10589.3 12466.7i −2.32203 2.73370i
\(276\) −1745.38 2574.24i −0.380650 0.561417i
\(277\) 184.671 + 3406.07i 0.0400572 + 0.738811i 0.947718 + 0.319108i \(0.103383\pi\)
−0.907661 + 0.419703i \(0.862134\pi\)
\(278\) 856.776 + 2150.35i 0.184842 + 0.463918i
\(279\) −1748.83 809.093i −0.375267 0.173617i
\(280\) 11255.5 2477.52i 2.40230 0.528786i
\(281\) −58.1452 + 109.674i −0.0123440 + 0.0232832i −0.889607 0.456726i \(-0.849022\pi\)
0.877263 + 0.480009i \(0.159367\pi\)
\(282\) 74.4929 454.387i 0.0157305 0.0959515i
\(283\) −6383.52 + 4852.63i −1.34085 + 1.01929i −0.344084 + 0.938939i \(0.611811\pi\)
−0.996767 + 0.0803496i \(0.974396\pi\)
\(284\) 3049.25 1410.73i 0.637111 0.294759i
\(285\) 3607.98 + 3417.66i 0.749889 + 0.710332i
\(286\) 6.89410 + 42.0521i 0.00142537 + 0.00869439i
\(287\) 6822.69 + 2298.83i 1.40324 + 0.472808i
\(288\) 602.250 1511.53i 0.123222 0.309264i
\(289\) −525.377 + 497.663i −0.106936 + 0.101295i
\(290\) 4436.57 + 3372.59i 0.898360 + 0.682915i
\(291\) −4658.03 1025.31i −0.938346 0.206546i
\(292\) 1932.21 2274.77i 0.387240 0.455894i
\(293\) 6207.65 + 675.123i 1.23773 + 0.134611i 0.703480 0.710715i \(-0.251629\pi\)
0.534250 + 0.845326i \(0.320594\pi\)
\(294\) −2288.02 −0.453878
\(295\) 3969.81 + 8475.35i 0.783496 + 1.67273i
\(296\) 3183.10 0.625047
\(297\) 1456.29 + 158.381i 0.284520 + 0.0309434i
\(298\) −1396.54 + 1644.14i −0.271475 + 0.319606i
\(299\) 98.6477 + 21.7140i 0.0190801 + 0.00419984i
\(300\) −4627.26 3517.55i −0.890516 0.676953i
\(301\) 781.285 740.072i 0.149610 0.141718i
\(302\) 98.0395 246.061i 0.0186806 0.0468848i
\(303\) 19.3339 + 6.51435i 0.00366569 + 0.00123512i
\(304\) 372.601 + 2272.76i 0.0702964 + 0.428789i
\(305\) 6635.19 + 6285.19i 1.24567 + 1.17996i
\(306\) −769.258 + 355.897i −0.143711 + 0.0664878i
\(307\) −615.958 + 468.239i −0.114510 + 0.0870483i −0.660862 0.750507i \(-0.729809\pi\)
0.546352 + 0.837556i \(0.316016\pi\)
\(308\) −1739.53 + 10610.6i −0.321814 + 1.96298i
\(309\) 1001.35 1888.75i 0.184353 0.347726i
\(310\) 5416.70 1192.31i 0.992413 0.218447i
\(311\) −3402.94 1574.37i −0.620461 0.287056i 0.0843665 0.996435i \(-0.473113\pi\)
−0.704827 + 0.709379i \(0.748975\pi\)
\(312\) 12.5822 + 31.5789i 0.00228309 + 0.00573013i
\(313\) −459.010 8465.93i −0.0828906 1.52883i −0.683894 0.729581i \(-0.739715\pi\)
0.601004 0.799246i \(-0.294768\pi\)
\(314\) −1690.03 2492.61i −0.303739 0.447982i
\(315\) 3710.63 + 4368.49i 0.663715 + 0.781386i
\(316\) −1555.50 2933.98i −0.276910 0.522309i
\(317\) 6819.79 2297.86i 1.20832 0.407131i 0.358163 0.933659i \(-0.383403\pi\)
0.850158 + 0.526528i \(0.176507\pi\)
\(318\) 49.7108 916.863i 0.00876618 0.161683i
\(319\) −10001.0 + 6017.37i −1.75532 + 1.05614i
\(320\) −16.0847 57.9318i −0.00280988 0.0101203i
\(321\) 1240.10 4466.45i 0.215626 0.776613i
\(322\) −5347.14 3217.27i −0.925418 0.556805i
\(323\) 3379.68 4984.66i 0.582200 0.858681i
\(324\) 517.494 56.2808i 0.0887335 0.00965035i
\(325\) 187.666 20.4099i 0.0320303 0.00348351i
\(326\) −883.296 + 1302.76i −0.150065 + 0.221329i
\(327\) −628.766 378.316i −0.106333 0.0639784i
\(328\) −1130.27 + 4070.87i −0.190271 + 0.685293i
\(329\) 1009.46 + 3635.73i 0.169158 + 0.609253i
\(330\) −3612.89 + 2173.80i −0.602676 + 0.362618i
\(331\) −209.752 + 3868.65i −0.0348309 + 0.642418i 0.928044 + 0.372470i \(0.121489\pi\)
−0.962875 + 0.269947i \(0.912994\pi\)
\(332\) 3249.95 1095.04i 0.537242 0.181018i
\(333\) 741.517 + 1398.65i 0.122027 + 0.230167i
\(334\) 1864.37 + 2194.90i 0.305430 + 0.359580i
\(335\) −263.300 388.338i −0.0429421 0.0633349i
\(336\) 143.806 + 2652.34i 0.0233490 + 0.430647i
\(337\) 4049.22 + 10162.8i 0.654525 + 1.64273i 0.761260 + 0.648446i \(0.224581\pi\)
−0.106735 + 0.994287i \(0.534040\pi\)
\(338\) 2500.76 + 1156.97i 0.402435 + 0.186186i
\(339\) 1979.31 435.678i 0.317113 0.0698018i
\(340\) −4667.25 + 8803.36i −0.744462 + 1.40420i
\(341\) −1879.27 + 11463.0i −0.298440 + 1.82040i
\(342\) 720.941 548.045i 0.113988 0.0866517i
\(343\) 7416.81 3431.38i 1.16755 0.540166i
\(344\) 458.475 + 434.290i 0.0718585 + 0.0680679i
\(345\) 1616.93 + 9862.82i 0.252326 + 1.53912i
\(346\) 2966.96 + 999.685i 0.460996 + 0.155328i
\(347\) −1811.74 + 4547.12i −0.280286 + 0.703465i 0.719672 + 0.694314i \(0.244292\pi\)
−0.999958 + 0.00915065i \(0.997087\pi\)
\(348\) −3011.09 + 2852.26i −0.463826 + 0.439360i
\(349\) −5759.63 4378.35i −0.883398 0.671541i 0.0617830 0.998090i \(-0.480321\pi\)
−0.945181 + 0.326548i \(0.894114\pi\)
\(350\) −11389.8 2507.09i −1.73946 0.382885i
\(351\) −10.9446 + 12.8850i −0.00166433 + 0.00195941i
\(352\) −9751.11 1060.50i −1.47652 0.160582i
\(353\) −4947.16 −0.745923 −0.372961 0.927847i \(-0.621658\pi\)
−0.372961 + 0.927847i \(0.621658\pi\)
\(354\) 1641.10 464.007i 0.246394 0.0696658i
\(355\) −10796.6 −1.61416
\(356\) 3792.99 + 412.513i 0.564686 + 0.0614133i
\(357\) 4496.62 5293.83i 0.666628 0.784815i
\(358\) 3187.08 + 701.530i 0.470510 + 0.103567i
\(359\) −6671.00 5071.17i −0.980730 0.745532i −0.0136247 0.999907i \(-0.504337\pi\)
−0.967106 + 0.254375i \(0.918130\pi\)
\(360\) −2441.88 + 2313.07i −0.357496 + 0.338638i
\(361\) 157.126 394.356i 0.0229080 0.0574947i
\(362\) −2308.46 777.810i −0.335165 0.112930i
\(363\) −782.655 4773.98i −0.113165 0.690273i
\(364\) −90.0889 85.3367i −0.0129724 0.0122881i
\(365\) −8704.66 + 4027.20i −1.24828 + 0.577516i
\(366\) 1325.83 1007.87i 0.189351 0.143941i
\(367\) 1955.28 11926.7i 0.278106 1.69637i −0.365335 0.930876i \(-0.619045\pi\)
0.643441 0.765496i \(-0.277506\pi\)
\(368\) −2169.54 + 4092.19i −0.307324 + 0.579674i
\(369\) −2052.03 + 451.687i −0.289498 + 0.0637233i
\(370\) −4135.46 1913.27i −0.581061 0.268827i
\(371\) 2785.08 + 6990.03i 0.389742 + 0.978179i
\(372\) 223.473 + 4121.72i 0.0311466 + 0.574466i
\(373\) 682.292 + 1006.31i 0.0947124 + 0.139690i 0.872093 0.489340i \(-0.162762\pi\)
−0.777381 + 0.629031i \(0.783452\pi\)
\(374\) 3307.86 + 3894.32i 0.457341 + 0.538424i
\(375\) 5121.59 + 9660.35i 0.705274 + 1.33029i
\(376\) −2098.33 + 707.009i −0.287800 + 0.0969713i
\(377\) 7.29255 134.503i 0.000996248 0.0183747i
\(378\) 894.949 538.473i 0.121776 0.0732700i
\(379\) −2248.84 8099.59i −0.304789 1.09775i −0.944331 0.328996i \(-0.893290\pi\)
0.639542 0.768756i \(-0.279124\pi\)
\(380\) 2848.08 10257.9i 0.384483 1.38478i
\(381\) −5472.13 3292.47i −0.735815 0.442725i
\(382\) −2069.39 + 3052.12i −0.277171 + 0.408796i
\(383\) −3701.08 + 402.517i −0.493776 + 0.0537014i −0.351620 0.936143i \(-0.614369\pi\)
−0.142156 + 0.989844i \(0.545404\pi\)
\(384\) −4324.38 + 470.304i −0.574681 + 0.0625003i
\(385\) 19390.4 28598.7i 2.56682 3.78578i
\(386\) −1273.66 766.337i −0.167947 0.101051i
\(387\) −84.0229 + 302.623i −0.0110365 + 0.0397499i
\(388\) 2733.37 + 9844.71i 0.357644 + 1.28812i
\(389\) 3274.89 1970.44i 0.426848 0.256826i −0.285882 0.958265i \(-0.592286\pi\)
0.712729 + 0.701439i \(0.247459\pi\)
\(390\) 2.63447 48.5899i 0.000342055 0.00630883i
\(391\) 11477.5 3867.22i 1.48451 0.500189i
\(392\) 5153.76 + 9721.02i 0.664041 + 1.25251i
\(393\) 2075.80 + 2443.82i 0.266438 + 0.313676i
\(394\) 660.309 + 973.882i 0.0844311 + 0.124527i
\(395\) 577.741 + 10655.8i 0.0735932 + 1.35735i
\(396\) −1161.49 2915.13i −0.147392 0.369926i
\(397\) −7432.94 3438.85i −0.939669 0.434737i −0.110589 0.993866i \(-0.535274\pi\)
−0.829081 + 0.559129i \(0.811136\pi\)
\(398\) 3011.19 662.812i 0.379239 0.0834768i
\(399\) −3476.11 + 6556.63i −0.436148 + 0.822662i
\(400\) −1400.40 + 8542.05i −0.175050 + 1.06776i
\(401\) 6652.79 5057.32i 0.828490 0.629802i −0.102546 0.994728i \(-0.532699\pi\)
0.931036 + 0.364927i \(0.118906\pi\)
\(402\) −77.5945 + 35.8991i −0.00962702 + 0.00445394i
\(403\) −97.3261 92.1922i −0.0120302 0.0113956i
\(404\) −7.07054 43.1284i −0.000870724 0.00531118i
\(405\) −1585.21 534.119i −0.194493 0.0655323i
\(406\) −3080.25 + 7730.84i −0.376527 + 0.945012i
\(407\) 6928.27 6562.81i 0.843788 0.799279i
\(408\) 3244.83 + 2466.66i 0.393733 + 0.299308i
\(409\) 10802.5 + 2377.82i 1.30599 + 0.287471i 0.812848 0.582477i \(-0.197916\pi\)
0.493145 + 0.869947i \(0.335847\pi\)
\(410\) 3915.32 4609.47i 0.471619 0.555233i
\(411\) 6267.10 + 681.589i 0.752149 + 0.0818012i
\(412\) −4579.46 −0.547607
\(413\) −10608.8 + 9097.76i −1.26398 + 1.08395i
\(414\) 1821.23 0.216205
\(415\) −10956.0 1191.54i −1.29593 0.140941i
\(416\) 73.2838 86.2764i 0.00863710 0.0101684i
\(417\) 5406.48 + 1190.06i 0.634908 + 0.139754i
\(418\) −4346.05 3303.78i −0.508545 0.386586i
\(419\) 1052.08 996.582i 0.122667 0.116196i −0.623908 0.781498i \(-0.714456\pi\)
0.746574 + 0.665302i \(0.231697\pi\)
\(420\) 4544.65 11406.2i 0.527991 1.32516i
\(421\) −4966.02 1673.25i −0.574890 0.193703i 0.0168133 0.999859i \(-0.494648\pi\)
−0.591704 + 0.806156i \(0.701544\pi\)
\(422\) −129.147 787.759i −0.0148975 0.0908709i
\(423\) −799.473 757.301i −0.0918953 0.0870479i
\(424\) −4007.41 + 1854.02i −0.459002 + 0.212357i
\(425\) 18019.4 13698.0i 2.05663 1.56341i
\(426\) −318.291 + 1941.49i −0.0362001 + 0.220811i
\(427\) −6392.67 + 12057.9i −0.724504 + 1.36656i
\(428\) −9697.64 + 2134.61i −1.09522 + 0.241076i
\(429\) 92.4944 + 42.7925i 0.0104095 + 0.00481594i
\(430\) −334.608 839.804i −0.0375262 0.0941836i
\(431\) 766.289 + 14133.4i 0.0856400 + 1.57954i 0.653832 + 0.756640i \(0.273160\pi\)
−0.568192 + 0.822896i \(0.692357\pi\)
\(432\) −435.038 641.634i −0.0484509 0.0714597i
\(433\) −6003.02 7067.30i −0.666251 0.784371i 0.320389 0.947286i \(-0.396186\pi\)
−0.986640 + 0.162915i \(0.947910\pi\)
\(434\) 3879.47 + 7317.45i 0.429079 + 0.809329i
\(435\) 12630.4 4255.69i 1.39214 0.469068i
\(436\) −85.1025 + 1569.62i −0.00934787 + 0.172411i
\(437\) −11088.0 + 6671.42i −1.21375 + 0.730292i
\(438\) 467.567 + 1684.03i 0.0510074 + 0.183712i
\(439\) 2106.61 7587.32i 0.229027 0.824881i −0.756303 0.654222i \(-0.772996\pi\)
0.985330 0.170660i \(-0.0545899\pi\)
\(440\) 17373.8 + 10453.4i 1.88241 + 1.13261i
\(441\) −3070.81 + 4529.11i −0.331585 + 0.489052i
\(442\) −58.6230 + 6.37563i −0.00630862 + 0.000686104i
\(443\) −12816.4 + 1393.87i −1.37455 + 0.149491i −0.765395 0.643560i \(-0.777456\pi\)
−0.609154 + 0.793052i \(0.708491\pi\)
\(444\) 1903.08 2806.83i 0.203414 0.300014i
\(445\) −10505.6 6321.03i −1.11914 0.673361i
\(446\) 1767.10 6364.51i 0.187611 0.675714i
\(447\) 1380.21 + 4971.08i 0.146044 + 0.526005i
\(448\) 76.9288 46.2865i 0.00811283 0.00488133i
\(449\) 109.003 2010.44i 0.0114570 0.211311i −0.987199 0.159491i \(-0.949015\pi\)
0.998656 0.0518206i \(-0.0165024\pi\)
\(450\) 3225.47 1086.79i 0.337889 0.113848i
\(451\) 5933.05 + 11190.9i 0.619460 + 1.16843i
\(452\) −2810.62 3308.92i −0.292479 0.344333i
\(453\) −355.492 524.312i −0.0368708 0.0543804i
\(454\) 159.027 + 2933.08i 0.0164394 + 0.303207i
\(455\) 147.598 + 370.442i 0.0152077 + 0.0381684i
\(456\) −3952.37 1828.56i −0.405892 0.187786i
\(457\) 3330.55 733.109i 0.340911 0.0750403i −0.0412151 0.999150i \(-0.513123\pi\)
0.382127 + 0.924110i \(0.375192\pi\)
\(458\) −1211.06 + 2284.29i −0.123557 + 0.233052i
\(459\) −327.948 + 2000.39i −0.0333492 + 0.203421i
\(460\) 17044.2 12956.6i 1.72758 1.31328i
\(461\) 463.874 214.611i 0.0468650 0.0216821i −0.396317 0.918114i \(-0.629712\pi\)
0.443182 + 0.896432i \(0.353850\pi\)
\(462\) −4571.08 4329.95i −0.460315 0.436034i
\(463\) −651.578 3974.45i −0.0654025 0.398938i −0.999158 0.0410264i \(-0.986937\pi\)
0.933756 0.357911i \(-0.116511\pi\)
\(464\) 5853.31 + 1972.21i 0.585631 + 0.197322i
\(465\) 4909.74 12322.5i 0.489642 1.22891i
\(466\) 3052.82 2891.78i 0.303474 0.287466i
\(467\) −8658.21 6581.80i −0.857932 0.652183i 0.0808383 0.996727i \(-0.474240\pi\)
−0.938770 + 0.344545i \(0.888033\pi\)
\(468\) 35.3684 + 7.78518i 0.00349339 + 0.000768953i
\(469\) 453.570 533.984i 0.0446566 0.0525738i
\(470\) 3151.10 + 342.703i 0.309254 + 0.0336334i
\(471\) −7202.33 −0.704598
\(472\) −5667.98 5927.29i −0.552732 0.578021i
\(473\) 1893.31 0.184048
\(474\) 1933.20 + 210.248i 0.187330 + 0.0203734i
\(475\) −15656.2 + 18431.9i −1.51233 + 1.78045i
\(476\) −14531.2 3198.55i −1.39923 0.307994i
\(477\) −1748.20 1328.95i −0.167808 0.127564i
\(478\) 5184.29 4910.82i 0.496075 0.469907i
\(479\) −899.777 + 2258.27i −0.0858285 + 0.215413i −0.965626 0.259935i \(-0.916299\pi\)
0.879798 + 0.475349i \(0.157678\pi\)
\(480\) 10614.3 + 3576.39i 1.00932 + 0.340081i
\(481\) 17.8180 + 108.685i 0.00168904 + 0.0103027i
\(482\) 921.410 + 872.806i 0.0870727 + 0.0824797i
\(483\) −13545.1 + 6266.62i −1.27603 + 0.590354i
\(484\) −8250.04 + 6271.51i −0.774797 + 0.588985i
\(485\) 5311.75 32400.2i 0.497307 3.03344i
\(486\) −142.780 + 269.311i −0.0133264 + 0.0251362i
\(487\) −4664.89 + 1026.82i −0.434058 + 0.0955434i −0.426624 0.904429i \(-0.640297\pi\)
−0.00743377 + 0.999972i \(0.502366\pi\)
\(488\) −7268.53 3362.78i −0.674244 0.311939i
\(489\) 1393.31 + 3496.94i 0.128850 + 0.323389i
\(490\) −852.707 15727.3i −0.0786151 1.44997i
\(491\) 2870.13 + 4233.13i 0.263803 + 0.389080i 0.936403 0.350926i \(-0.114133\pi\)
−0.672600 + 0.740006i \(0.734823\pi\)
\(492\) 2913.90 + 3430.51i 0.267009 + 0.314348i
\(493\) −7565.39 14269.8i −0.691132 1.30361i
\(494\) 59.7058 20.1172i 0.00543784 0.00183222i
\(495\) −545.935 + 10069.2i −0.0495716 + 0.914295i
\(496\) 5267.27 3169.21i 0.476830 0.286899i
\(497\) −4313.17 15534.6i −0.389280 1.40206i
\(498\) −537.256 + 1935.02i −0.0483434 + 0.174117i
\(499\) 12610.8 + 7587.68i 1.13134 + 0.680704i 0.952911 0.303249i \(-0.0980713\pi\)
0.178428 + 0.983953i \(0.442899\pi\)
\(500\) 13144.4 19386.5i 1.17567 1.73398i
\(501\) 6847.00 744.656i 0.610582 0.0664047i
\(502\) 1438.35 156.430i 0.127882 0.0139080i
\(503\) −10729.2 + 15824.4i −0.951078 + 1.40274i −0.0360485 + 0.999350i \(0.511477\pi\)
−0.915030 + 0.403386i \(0.867833\pi\)
\(504\) −4303.65 2589.42i −0.380357 0.228853i
\(505\) −37.5726 + 135.324i −0.00331081 + 0.0119244i
\(506\) −2937.18 10578.8i −0.258050 0.929413i
\(507\) 5646.54 3397.41i 0.494618 0.297602i
\(508\) −740.643 + 13660.4i −0.0646865 + 1.19307i
\(509\) 10418.0 3510.22i 0.907207 0.305674i 0.173256 0.984877i \(-0.444571\pi\)
0.733950 + 0.679203i \(0.237675\pi\)
\(510\) −2733.03 5155.05i −0.237295 0.447587i
\(511\) −9271.94 10915.8i −0.802674 0.944981i
\(512\) 5245.61 + 7736.70i 0.452784 + 0.667806i
\(513\) −117.255 2162.64i −0.0100915 0.186126i
\(514\) −1320.70 3314.72i −0.113334 0.284447i
\(515\) 13356.0 + 6179.14i 1.14279 + 0.528709i
\(516\) 657.061 144.630i 0.0560572 0.0123391i
\(517\) −3109.49 + 5865.12i −0.264517 + 0.498932i
\(518\) 1100.80 6714.61i 0.0933717 0.569542i
\(519\) 5960.89 4531.35i 0.504151 0.383245i
\(520\) −212.376 + 98.2555i −0.0179102 + 0.00828613i
\(521\) 8054.47 + 7629.60i 0.677299 + 0.641572i 0.946948 0.321387i \(-0.104149\pi\)
−0.269649 + 0.962959i \(0.586908\pi\)
\(522\) −392.920 2396.71i −0.0329457 0.200960i
\(523\) −20632.8 6952.01i −1.72507 0.581243i −0.730275 0.683153i \(-0.760608\pi\)
−0.994794 + 0.101909i \(0.967505\pi\)
\(524\) 2542.37 6380.86i 0.211954 0.531964i
\(525\) −20249.3 + 19181.2i −1.68334 + 1.59454i
\(526\) −140.742 106.989i −0.0116666 0.00886874i
\(527\) −15698.5 3455.50i −1.29760 0.285624i
\(528\) −3025.37 + 3561.74i −0.249360 + 0.293570i
\(529\) −13775.8 1498.21i −1.13223 0.123137i
\(530\) 6320.80 0.518034
\(531\) 1284.06 3871.29i 0.104941 0.316383i
\(532\) 15897.2 1.29555
\(533\) −145.324 15.8049i −0.0118099 0.00128440i
\(534\) −1446.38 + 1702.81i −0.117212 + 0.137992i
\(535\) 31163.4 + 6859.58i 2.51834 + 0.554328i
\(536\) 327.304 + 248.810i 0.0263757 + 0.0200503i
\(537\) 5666.13 5367.25i 0.455329 0.431311i
\(538\) −733.821 + 1841.75i −0.0588054 + 0.147590i
\(539\) 31260.0 + 10532.7i 2.49808 + 0.841701i
\(540\) 579.721 + 3536.14i 0.0461985 + 0.281799i
\(541\) 5326.97 + 5045.98i 0.423335 + 0.401005i 0.869489 0.493952i \(-0.164448\pi\)
−0.446154 + 0.894956i \(0.647207\pi\)
\(542\) −2040.23 + 943.913i −0.161689 + 0.0748054i
\(543\) −4637.90 + 3525.64i −0.366540 + 0.278637i
\(544\) 2195.90 13394.4i 0.173067 1.05566i
\(545\) 2366.12 4462.97i 0.185969 0.350775i
\(546\) 70.9655 15.6207i 0.00556235 0.00122437i
\(547\) 5691.53 + 2633.18i 0.444886 + 0.205826i 0.629525 0.776980i \(-0.283250\pi\)
−0.184639 + 0.982806i \(0.559112\pi\)
\(548\) −4998.46 12545.2i −0.389642 0.977926i
\(549\) −215.635 3977.16i −0.0167634 0.309182i
\(550\) −11514.5 16982.7i −0.892693 1.31662i
\(551\) 11171.6 + 13152.3i 0.863752 + 1.01689i
\(552\) −4102.32 7737.80i −0.316316 0.596635i
\(553\) −15101.2 + 5088.19i −1.16124 + 0.391269i
\(554\) −231.652 + 4272.57i −0.0177652 + 0.327661i
\(555\) −9337.60 + 5618.25i −0.714160 + 0.429696i
\(556\) −3172.57 11426.5i −0.241991 0.871571i
\(557\) −6294.78 + 22671.7i −0.478848 + 1.72465i 0.190483 + 0.981690i \(0.438995\pi\)
−0.669331 + 0.742964i \(0.733419\pi\)
\(558\) −2071.13 1246.16i −0.157129 0.0945415i
\(559\) −12.2622 + 18.0853i −0.000927789 + 0.00136839i
\(560\) −18177.9 + 1976.97i −1.37171 + 0.149183i
\(561\) 12148.3 1321.21i 0.914265 0.0994323i
\(562\) −87.3842 + 128.882i −0.00655886 + 0.00967360i
\(563\) 6870.92 + 4134.09i 0.514342 + 0.309469i 0.748957 0.662619i \(-0.230555\pi\)
−0.234614 + 0.972089i \(0.575383\pi\)
\(564\) −631.091 + 2272.98i −0.0471165 + 0.169698i
\(565\) 3732.39 + 13442.9i 0.277917 + 1.00097i
\(566\) −8618.68 + 5185.69i −0.640053 + 0.385107i
\(567\) 135.234 2494.24i 0.0100164 0.184741i
\(568\) 8965.66 3020.88i 0.662308 0.223157i
\(569\) 865.586 + 1632.67i 0.0637737 + 0.120290i 0.913349 0.407177i \(-0.133487\pi\)
−0.849576 + 0.527467i \(0.823142\pi\)
\(570\) 4035.80 + 4751.31i 0.296563 + 0.349141i
\(571\) −9618.04 14185.6i −0.704908 1.03966i −0.996539 0.0831308i \(-0.973508\pi\)
0.291630 0.956531i \(-0.405802\pi\)
\(572\) −11.8194 217.995i −0.000863973 0.0159350i
\(573\) 3264.25 + 8192.65i 0.237986 + 0.597300i
\(574\) 8196.44 + 3792.07i 0.596015 + 0.275746i
\(575\) −47498.3 + 10455.2i −3.44490 + 0.758280i
\(576\) −12.2732 + 23.1497i −0.000887819 + 0.00167460i
\(577\) 4145.21 25284.7i 0.299077 1.82429i −0.227051 0.973883i \(-0.572908\pi\)
0.526128 0.850406i \(-0.323643\pi\)
\(578\) −722.665 + 549.355i −0.0520050 + 0.0395332i
\(579\) −3226.37 + 1492.68i −0.231577 + 0.107139i
\(580\) −20727.9 19634.5i −1.48393 1.40565i
\(581\) −2662.41 16240.0i −0.190112 1.15963i
\(582\) −5669.73 1910.35i −0.403810 0.136060i
\(583\) −4899.88 + 12297.8i −0.348083 + 0.873622i
\(584\) 6101.65 5779.79i 0.432343 0.409537i
\(585\) −92.6472 70.4286i −0.00654785 0.00497754i
\(586\) 7649.67 + 1683.82i 0.539257 + 0.118700i
\(587\) −8502.60 + 10010.0i −0.597853 + 0.703847i −0.974975 0.222317i \(-0.928638\pi\)
0.377121 + 0.926164i \(0.376914\pi\)
\(588\) 11653.2 + 1267.36i 0.817293 + 0.0888860i
\(589\) 17174.3 1.20145
\(590\) 3801.07 + 11107.6i 0.265234 + 0.775070i
\(591\) 2814.00 0.195859
\(592\) −5020.61 546.024i −0.348557 0.0379079i
\(593\) −7120.54 + 8382.94i −0.493095 + 0.580516i −0.951275 0.308343i \(-0.900226\pi\)
0.458180 + 0.888859i \(0.348501\pi\)
\(594\) 1794.58 + 395.017i 0.123960 + 0.0272858i
\(595\) 38064.2 + 28935.7i 2.62266 + 1.99369i
\(596\) 8023.48 7600.24i 0.551434 0.522346i
\(597\) 2729.36 6850.18i 0.187111 0.469613i
\(598\) 120.073 + 40.4574i 0.00821098 + 0.00276660i
\(599\) −233.032 1421.43i −0.0158955 0.0969585i 0.977687 0.210066i \(-0.0673679\pi\)
−0.993583 + 0.113107i \(0.963920\pi\)
\(600\) −11882.7 11255.9i −0.808519 0.765869i
\(601\) −1961.28 + 907.387i −0.133116 + 0.0615858i −0.485316 0.874339i \(-0.661296\pi\)
0.352201 + 0.935925i \(0.385433\pi\)
\(602\) 1074.67 816.943i 0.0727579 0.0553091i
\(603\) −33.0799 + 201.778i −0.00223402 + 0.0136269i
\(604\) −635.623 + 1198.91i −0.0428197 + 0.0807666i
\(605\) 32523.4 7158.95i 2.18556 0.481079i
\(606\) 23.2268 + 10.7459i 0.00155697 + 0.000720331i
\(607\) −391.822 983.398i −0.0262002 0.0657577i 0.915295 0.402785i \(-0.131958\pi\)
−0.941495 + 0.337027i \(0.890578\pi\)
\(608\) 785.122 + 14480.7i 0.0523699 + 0.965906i
\(609\) 11169.0 + 16473.1i 0.743171 + 1.09610i
\(610\) 7421.97 + 8737.81i 0.492634 + 0.579973i
\(611\) −35.8861 67.6884i −0.00237610 0.00448180i
\(612\) 4115.06 1386.53i 0.271800 0.0915800i
\(613\) 1596.75 29450.3i 0.105207 1.94043i −0.183505 0.983019i \(-0.558744\pi\)
0.288713 0.957416i \(-0.406773\pi\)
\(614\) −831.633 + 500.377i −0.0546612 + 0.0328886i
\(615\) −3869.54 13936.8i −0.253715 0.913800i
\(616\) −8100.16 + 29174.1i −0.529813 + 1.90821i
\(617\) 4570.74 + 2750.12i 0.298235 + 0.179442i 0.656804 0.754061i \(-0.271908\pi\)
−0.358569 + 0.933503i \(0.616735\pi\)
\(618\) 1504.90 2219.55i 0.0979543 0.144472i
\(619\) 13024.5 1416.49i 0.845714 0.0919770i 0.325006 0.945712i \(-0.394634\pi\)
0.520708 + 0.853735i \(0.325668\pi\)
\(620\) −28248.3 + 3072.19i −1.82981 + 0.199004i
\(621\) 2444.32 3605.11i 0.157951 0.232960i
\(622\) −4030.11 2424.83i −0.259795 0.156313i
\(623\) 4898.04 17641.1i 0.314985 1.13447i
\(624\) −14.4285 51.9668i −0.000925645 0.00333387i
\(625\) −32202.8 + 19375.8i −2.06098 + 1.24005i
\(626\) 575.782 10619.7i 0.0367618 0.678031i
\(627\) −12372.7 + 4168.85i −0.788068 + 0.265531i
\(628\) 7226.86 + 13631.3i 0.459209 + 0.866159i
\(629\) 8549.26 + 10065.0i 0.541942 + 0.638023i
\(630\) 4034.85 + 5950.97i 0.255163 + 0.376337i
\(631\) −106.265 1959.95i −0.00670422 0.123652i −0.999970 0.00779098i \(-0.997520\pi\)
0.993265 0.115861i \(-0.0369627\pi\)
\(632\) −3461.24 8687.07i −0.217850 0.546761i
\(633\) −1732.69 801.627i −0.108797 0.0503346i
\(634\) 8816.24 1940.60i 0.552268 0.121563i
\(635\) 20592.2 38841.0i 1.28689 2.42734i
\(636\) −761.043 + 4642.16i −0.0474486 + 0.289424i
\(637\) −303.068 + 230.387i −0.0188509 + 0.0143301i
\(638\) −13287.8 + 6147.57i −0.824557 + 0.381481i
\(639\) 3415.96 + 3235.77i 0.211476 + 0.200321i
\(640\) −4844.37 29549.4i −0.299204 1.82506i
\(641\) −1475.24 497.066i −0.0909024 0.0306286i 0.273483 0.961877i \(-0.411824\pi\)
−0.364385 + 0.931248i \(0.618721\pi\)
\(642\) 2152.23 5401.68i 0.132308 0.332067i
\(643\) −18128.8 + 17172.5i −1.11187 + 1.05322i −0.113652 + 0.993521i \(0.536255\pi\)
−0.998217 + 0.0596973i \(0.980986\pi\)
\(644\) 25451.6 + 19347.8i 1.55735 + 1.18386i
\(645\) −2111.47 464.769i −0.128898 0.0283725i
\(646\) 4890.66 5757.73i 0.297865 0.350673i
\(647\) 6847.34 + 744.693i 0.416069 + 0.0452502i 0.313760 0.949502i \(-0.398411\pi\)
0.102309 + 0.994753i \(0.467377\pi\)
\(648\) 1465.82 0.0888626
\(649\) −24557.5 1215.19i −1.48531 0.0734982i
\(650\) 236.797 0.0142891
\(651\) 19691.5 + 2141.58i 1.18552 + 0.128933i
\(652\) 5220.35 6145.87i 0.313565 0.369157i
\(653\) −6222.50 1369.68i −0.372902 0.0820820i 0.0245652 0.999698i \(-0.492180\pi\)
−0.397468 + 0.917616i \(0.630111\pi\)
\(654\) −732.792 557.054i −0.0438141 0.0333066i
\(655\) −16024.6 + 15179.3i −0.955927 + 0.905502i
\(656\) 2481.05 6226.98i 0.147666 0.370614i
\(657\) 3961.04 + 1334.63i 0.235213 + 0.0792525i
\(658\) 765.744 + 4670.83i 0.0453675 + 0.276729i
\(659\) −9583.08 9077.57i −0.566470 0.536589i 0.349970 0.936761i \(-0.386192\pi\)
−0.916440 + 0.400172i \(0.868950\pi\)
\(660\) 19605.0 9070.23i 1.15625 0.534936i
\(661\) −5744.19 + 4366.62i −0.338008 + 0.256947i −0.760384 0.649474i \(-0.774989\pi\)
0.422376 + 0.906421i \(0.361196\pi\)
\(662\) −786.254 + 4795.94i −0.0461611 + 0.281570i
\(663\) −66.0589 + 124.600i −0.00386955 + 0.00729875i
\(664\) 9431.41 2076.01i 0.551220 0.121333i
\(665\) −46364.1 21450.3i −2.70364 1.25084i
\(666\) 735.015 + 1844.75i 0.0427646 + 0.107331i
\(667\) 1878.85 + 34653.4i 0.109070 + 2.01167i
\(668\) −8279.67 12211.6i −0.479566 0.707307i
\(669\) −10226.8 12039.9i −0.591018 0.695800i
\(670\) −275.679 519.986i −0.0158961 0.0299833i
\(671\) −22753.8 + 7666.66i −1.30909 + 0.441085i
\(672\) −905.506 + 16701.1i −0.0519801 + 0.958717i
\(673\) 8989.24 5408.64i 0.514873 0.309789i −0.234299 0.972165i \(-0.575279\pi\)
0.749172 + 0.662376i \(0.230452\pi\)
\(674\) 3671.24 + 13222.6i 0.209809 + 0.755662i
\(675\) 2177.70 7843.38i 0.124178 0.447247i
\(676\) −12095.8 7277.80i −0.688199 0.414076i
\(677\) 11791.3 17390.9i 0.669391 0.987278i −0.329676 0.944094i \(-0.606939\pi\)
0.999067 0.0431841i \(-0.0137502\pi\)
\(678\) 2527.38 274.869i 0.143161 0.0155697i
\(679\) 48740.7 5300.87i 2.75478 0.299601i
\(680\) −15745.9 + 23223.4i −0.887981 + 1.30967i
\(681\) 6019.42 + 3621.77i 0.338715 + 0.203798i
\(682\) −3898.20 + 14040.1i −0.218871 + 0.788301i
\(683\) −7044.42 25371.7i −0.394652 1.42141i −0.847963 0.530056i \(-0.822171\pi\)
0.453311 0.891353i \(-0.350243\pi\)
\(684\) −3975.41 + 2391.92i −0.222227 + 0.133710i
\(685\) −2349.42 + 43332.5i −0.131046 + 2.41700i
\(686\) 9714.48 3273.19i 0.540671 0.182173i
\(687\) 2896.34 + 5463.07i 0.160847 + 0.303390i
\(688\) −648.642 763.640i −0.0359437 0.0423161i
\(689\) −85.7366 126.452i −0.00474064 0.00699193i
\(690\) 678.743 + 12518.7i 0.0374483 + 0.690693i
\(691\) −8713.93 21870.3i −0.479730 1.20403i −0.947378 0.320117i \(-0.896278\pi\)
0.467648 0.883915i \(-0.345102\pi\)
\(692\) −14557.3 6734.95i −0.799693 0.369977i
\(693\) −14706.0 + 3237.04i −0.806113 + 0.177439i
\(694\) −2876.02 + 5424.75i −0.157309 + 0.296716i
\(695\) −6165.23 + 37606.3i −0.336490 + 2.05250i
\(696\) −9297.74 + 7067.95i −0.506365 + 0.384928i
\(697\) −15907.8 + 7359.73i −0.864492 + 0.399957i
\(698\) −6588.71 6241.16i −0.357287 0.338440i
\(699\) −1626.98 9924.15i −0.0880373 0.537004i
\(700\) 56621.1 + 19077.9i 3.05725 + 1.03011i
\(701\) 1743.95 4376.99i 0.0939632 0.235830i −0.874481 0.485059i \(-0.838798\pi\)
0.968444 + 0.249229i \(0.0801773\pi\)
\(702\) −15.3960 + 14.5839i −0.000827755 + 0.000784092i
\(703\) −11232.5 8538.69i −0.602618 0.458098i
\(704\) 154.260 + 33.9552i 0.00825838 + 0.00181781i
\(705\) 4907.54 5777.60i 0.262168 0.308648i
\(706\) −6169.34 670.956i −0.328875 0.0357673i
\(707\) −209.720 −0.0111560
\(708\) −8615.33 + 1454.22i −0.457322 + 0.0771936i
\(709\) 24098.6 1.27650 0.638252 0.769827i \(-0.279658\pi\)
0.638252 + 0.769827i \(0.279658\pi\)
\(710\) −13463.9 1464.29i −0.711678 0.0773996i
\(711\) 3010.77 3544.56i 0.158808 0.186964i
\(712\) 10492.6 + 2309.60i 0.552287 + 0.121567i
\(713\) 27496.2 + 20902.1i 1.44424 + 1.09788i
\(714\) 6325.46 5991.80i 0.331547 0.314058i
\(715\) −259.673 + 651.730i −0.0135821 + 0.0340886i
\(716\) −15843.6 5338.34i −0.826961 0.278635i
\(717\) −2762.94 16853.2i −0.143910 0.877814i
\(718\) −7631.28 7228.73i −0.396653 0.375730i
\(719\) −11448.8 + 5296.76i −0.593834 + 0.274737i −0.693700 0.720264i \(-0.744021\pi\)
0.0998660 + 0.995001i \(0.468159\pi\)
\(720\) 4248.29 3229.47i 0.219895 0.167160i
\(721\) −3555.18 + 21685.6i −0.183636 + 1.12013i
\(722\) 249.428 470.470i 0.0128570 0.0242508i
\(723\) 2964.35 652.504i 0.152483 0.0335641i
\(724\) 11326.4 + 5240.16i 0.581413 + 0.268990i
\(725\) 24006.3 + 60251.2i 1.22975 + 3.08645i
\(726\) −328.538 6059.52i −0.0167950 0.309766i
\(727\) −10494.4 15478.0i −0.535370 0.789612i 0.459774 0.888036i \(-0.347930\pi\)
−0.995145 + 0.0984238i \(0.968620\pi\)
\(728\) −226.216 266.322i −0.0115167 0.0135585i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) −11401.3 + 3841.55i −0.578056 + 0.194770i
\(731\) −141.842 + 2616.13i −0.00717678 + 0.132368i
\(732\) −7310.90 + 4398.82i −0.369151 + 0.222111i
\(733\) 4468.08 + 16092.6i 0.225146 + 0.810904i 0.986665 + 0.162761i \(0.0520401\pi\)
−0.761519 + 0.648143i \(0.775546\pi\)
\(734\) 4055.88 14608.0i 0.203958 0.734591i
\(735\) −32276.3 19420.0i −1.61977 0.974583i
\(736\) −16366.9 + 24139.3i −0.819688 + 1.20895i
\(737\) 1225.39 133.269i 0.0612455 0.00666084i
\(738\) −2620.24 + 284.969i −0.130694 + 0.0142139i
\(739\) 15810.4 23318.6i 0.787003 1.16074i −0.196616 0.980481i \(-0.562995\pi\)
0.983619 0.180261i \(-0.0576944\pi\)
\(740\) 20002.6 + 12035.2i 0.993664 + 0.597868i
\(741\) 40.3109 145.187i 0.00199846 0.00719780i
\(742\) 2525.11 + 9094.62i 0.124932 + 0.449965i
\(743\) 14508.7 8729.60i 0.716384 0.431034i −0.110154 0.993914i \(-0.535135\pi\)
0.826538 + 0.562881i \(0.190307\pi\)
\(744\) −629.286 + 11606.5i −0.0310091 + 0.571929i
\(745\) −33655.5 + 11339.9i −1.65509 + 0.557665i
\(746\) 714.370 + 1347.44i 0.0350602 + 0.0661306i
\(747\) 3109.29 + 3660.53i 0.152293 + 0.179293i
\(748\) −14690.3 21666.5i −0.718087 1.05910i
\(749\) 2579.68 + 47579.5i 0.125847 + 2.32112i
\(750\) 5076.68 + 12741.5i 0.247166 + 0.620339i
\(751\) 25886.1 + 11976.2i 1.25778 + 0.581913i 0.931632 0.363404i \(-0.118385\pi\)
0.326153 + 0.945317i \(0.394248\pi\)
\(752\) 3430.91 755.201i 0.166373 0.0366215i
\(753\) 1620.79 3057.13i 0.0784394 0.147952i
\(754\) 27.3361 166.743i 0.00132032 0.00805359i
\(755\) 3471.50 2638.96i 0.167339 0.127208i
\(756\) −4856.35 + 2246.79i −0.233629 + 0.108088i
\(757\) 23090.7 + 21872.7i 1.10865 + 1.05017i 0.998416 + 0.0562598i \(0.0179175\pi\)
0.110230 + 0.993906i \(0.464841\pi\)
\(758\) −1705.91 10405.6i −0.0817431 0.498611i
\(759\) −24882.6 8383.91i −1.18996 0.400944i
\(760\) 11096.1 27849.0i 0.529601 1.32920i
\(761\) −21520.3 + 20385.1i −1.02511 + 0.971037i −0.999590 0.0286376i \(-0.990883\pi\)
−0.0255211 + 0.999674i \(0.508125\pi\)
\(762\) −6377.45 4848.02i −0.303190 0.230479i
\(763\) 7366.74 + 1621.54i 0.349533 + 0.0769381i
\(764\) 12230.2 14398.6i 0.579156 0.681835i
\(765\) −13872.4 1508.72i −0.655632 0.0713042i
\(766\) −4670.01 −0.220280
\(767\) 170.656 226.708i 0.00803394 0.0106727i
\(768\) −5386.61 −0.253089
\(769\) −13669.1 1486.61i −0.640991 0.0697119i −0.218149 0.975916i \(-0.570002\pi\)
−0.422842 + 0.906204i \(0.638967\pi\)
\(770\) 28059.4 33034.1i 1.31323 1.54606i
\(771\) −8333.99 1834.45i −0.389288