Properties

Label 177.4.e.a.7.4
Level $177$
Weight $4$
Character 177.7
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 7.4
Character \(\chi\) \(=\) 177.7
Dual form 177.4.e.a.76.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.93104 - 2.84807i) q^{2} +(-0.162417 + 2.99560i) q^{3} +(-1.42147 + 3.56762i) q^{4} +(-12.2161 + 5.65175i) q^{5} +(8.84530 - 5.32204i) q^{6} +(8.68646 - 31.2858i) q^{7} +(-13.9786 + 3.07691i) q^{8} +(-8.94724 - 0.973071i) q^{9} +O(q^{10})\) \(q+(-1.93104 - 2.84807i) q^{2} +(-0.162417 + 2.99560i) q^{3} +(-1.42147 + 3.56762i) q^{4} +(-12.2161 + 5.65175i) q^{5} +(8.84530 - 5.32204i) q^{6} +(8.68646 - 31.2858i) q^{7} +(-13.9786 + 3.07691i) q^{8} +(-8.94724 - 0.973071i) q^{9} +(39.6862 + 23.8784i) q^{10} +(25.9292 - 24.5614i) q^{11} +(-10.4563 - 4.83760i) q^{12} +(-8.20288 + 0.892117i) q^{13} +(-105.878 + 35.6744i) q^{14} +(-14.9463 - 37.5124i) q^{15} +(58.0611 + 54.9984i) q^{16} +(29.2819 + 105.464i) q^{17} +(14.5061 + 27.3614i) q^{18} +(-86.3444 + 65.6373i) q^{19} +(-2.79854 - 51.6161i) q^{20} +(92.3089 + 31.1025i) q^{21} +(-120.023 - 26.4190i) q^{22} +(-81.9564 + 154.586i) q^{23} +(-6.94685 - 42.3739i) q^{24} +(36.3665 - 42.8139i) q^{25} +(18.3809 + 21.6396i) q^{26} +(4.36811 - 26.6443i) q^{27} +(99.2684 + 75.4619i) q^{28} +(-45.9129 + 67.7164i) q^{29} +(-77.9758 + 115.006i) q^{30} +(-80.9959 - 61.5715i) q^{31} +(25.9960 - 158.569i) q^{32} +(69.3648 + 81.6626i) q^{33} +(243.824 - 287.051i) q^{34} +(70.7052 + 431.283i) q^{35} +(16.1898 - 30.5372i) q^{36} +(257.448 + 56.6685i) q^{37} +(353.674 + 119.167i) q^{38} +(-1.34014 - 24.7174i) q^{39} +(153.373 - 116.591i) q^{40} +(154.205 + 290.861i) q^{41} +(-89.6699 - 322.962i) q^{42} +(-23.7248 - 22.4733i) q^{43} +(50.7683 + 127.419i) q^{44} +(114.800 - 38.6805i) q^{45} +(598.532 - 65.0943i) q^{46} +(-362.060 - 167.507i) q^{47} +(-174.183 + 164.995i) q^{48} +(-609.444 - 366.690i) q^{49} +(-192.162 - 20.8989i) q^{50} +(-320.684 + 70.5878i) q^{51} +(8.47742 - 30.5329i) q^{52} +(517.422 - 311.322i) q^{53} +(-84.3198 + 39.0105i) q^{54} +(-177.937 + 446.589i) q^{55} +(-25.1605 + 464.058i) q^{56} +(-182.599 - 269.314i) q^{57} +281.520 q^{58} +(-452.557 + 23.8903i) q^{59} +155.076 q^{60} +(416.119 + 613.730i) q^{61} +(-18.9536 + 349.578i) q^{62} +(-108.163 + 271.469i) q^{63} +(78.8494 - 36.4796i) q^{64} +(95.1648 - 57.2588i) q^{65} +(98.6344 - 355.249i) q^{66} +(-400.175 + 88.0852i) q^{67} +(-417.879 - 45.4471i) q^{68} +(-449.767 - 270.616i) q^{69} +(1091.79 - 1034.20i) q^{70} +(-691.863 - 320.090i) q^{71} +(128.064 - 13.9278i) q^{72} +(146.073 - 49.2179i) q^{73} +(-335.745 - 842.657i) q^{74} +(122.347 + 115.893i) q^{75} +(-111.433 - 401.346i) q^{76} +(-543.191 - 1024.57i) q^{77} +(-67.8090 + 51.5471i) q^{78} +(37.0535 + 683.411i) q^{79} +(-1020.12 - 343.717i) q^{80} +(79.1063 + 17.4126i) q^{81} +(530.617 - 1000.85i) q^{82} +(-108.716 - 663.136i) q^{83} +(-242.176 + 285.112i) q^{84} +(-953.765 - 1122.86i) q^{85} +(-18.1920 + 110.967i) q^{86} +(-195.394 - 148.535i) q^{87} +(-286.879 + 423.115i) q^{88} +(-244.086 + 360.000i) q^{89} +(-331.847 - 252.263i) q^{90} +(-43.3434 + 264.383i) q^{91} +(-435.007 - 512.129i) q^{92} +(197.599 - 232.631i) q^{93} +(222.081 + 1354.63i) q^{94} +(683.823 - 1289.83i) q^{95} +(470.787 + 103.628i) q^{96} +(109.738 + 36.9749i) q^{97} +(132.501 + 2443.83i) q^{98} +(-255.895 + 194.526i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + O(q^{10}) \) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + 854q^{10} + 32q^{11} + 192q^{12} - 22q^{13} - 884q^{14} - 42q^{15} - 268q^{16} - 56q^{17} - 18q^{18} - 112q^{19} - 250q^{20} + 243q^{21} + 108q^{22} + 16q^{23} - 54q^{24} - 197q^{25} - 328q^{26} + 405q^{27} + 236q^{28} - 54q^{29} - 126q^{30} + 66q^{31} + 857q^{32} - 96q^{33} + 112q^{34} + 532q^{35} - 576q^{36} + 110q^{37} + 56q^{38} + 66q^{39} - 6044q^{40} + 304q^{41} - 306q^{42} - 324q^{43} - 568q^{44} + 126q^{45} + 5842q^{46} + 4082q^{47} + 804q^{48} + 739q^{49} + 576q^{50} + 168q^{51} - 1372q^{52} - 1498q^{53} + 54q^{54} - 4422q^{55} - 12036q^{56} + 336q^{57} + 6298q^{58} - 3305q^{59} + 750q^{60} - 1718q^{61} - 4333q^{62} + 54q^{63} - 6250q^{64} - 5884q^{65} - 324q^{66} + 382q^{67} + 734q^{68} + 3780q^{69} + 8082q^{70} + 8638q^{71} + 162q^{72} + 8894q^{73} + 12428q^{74} + 243q^{75} - 15468q^{76} - 9916q^{77} + 984q^{78} - 578q^{79} + 24570q^{80} - 1215q^{81} - 1382q^{82} - 32q^{83} + 7557q^{84} + 708q^{85} + 2296q^{86} - 5928q^{87} - 17646q^{88} - 2284q^{89} + 378q^{90} + 11124q^{91} + 762q^{92} - 198q^{93} - 1232q^{94} + 24184q^{95} - 396q^{96} - 658q^{97} - 4356q^{98} + 288q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{9}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.93104 2.84807i −0.682725 1.00694i −0.998314 0.0580474i \(-0.981513\pi\)
0.315589 0.948896i \(-0.397798\pi\)
\(3\) −0.162417 + 2.99560i −0.0312571 + 0.576504i
\(4\) −1.42147 + 3.56762i −0.177684 + 0.445953i
\(5\) −12.2161 + 5.65175i −1.09264 + 0.505508i −0.881613 0.471973i \(-0.843542\pi\)
−0.211024 + 0.977481i \(0.567680\pi\)
\(6\) 8.84530 5.32204i 0.601846 0.362119i
\(7\) 8.68646 31.2858i 0.469025 1.68927i −0.229187 0.973382i \(-0.573607\pi\)
0.698212 0.715891i \(-0.253979\pi\)
\(8\) −13.9786 + 3.07691i −0.617771 + 0.135982i
\(9\) −8.94724 0.973071i −0.331379 0.0360397i
\(10\) 39.6862 + 23.8784i 1.25499 + 0.755101i
\(11\) 25.9292 24.5614i 0.710722 0.673231i −0.244323 0.969694i \(-0.578566\pi\)
0.955044 + 0.296463i \(0.0958070\pi\)
\(12\) −10.4563 4.83760i −0.251540 0.116375i
\(13\) −8.20288 + 0.892117i −0.175005 + 0.0190330i −0.195202 0.980763i \(-0.562536\pi\)
0.0201967 + 0.999796i \(0.493571\pi\)
\(14\) −105.878 + 35.6744i −2.02122 + 0.681027i
\(15\) −14.9463 37.5124i −0.257274 0.645710i
\(16\) 58.0611 + 54.9984i 0.907205 + 0.859351i
\(17\) 29.2819 + 105.464i 0.417759 + 1.50463i 0.810917 + 0.585161i \(0.198969\pi\)
−0.393158 + 0.919471i \(0.628617\pi\)
\(18\) 14.5061 + 27.3614i 0.189951 + 0.358285i
\(19\) −86.3444 + 65.6373i −1.04257 + 0.792539i −0.978674 0.205418i \(-0.934145\pi\)
−0.0638924 + 0.997957i \(0.520351\pi\)
\(20\) −2.79854 51.6161i −0.0312887 0.577086i
\(21\) 92.3089 + 31.1025i 0.959212 + 0.323196i
\(22\) −120.023 26.4190i −1.16313 0.256025i
\(23\) −81.9564 + 154.586i −0.743004 + 1.40145i 0.166620 + 0.986021i \(0.446715\pi\)
−0.909624 + 0.415433i \(0.863630\pi\)
\(24\) −6.94685 42.3739i −0.0590842 0.360397i
\(25\) 36.3665 42.8139i 0.290932 0.342511i
\(26\) 18.3809 + 21.6396i 0.138646 + 0.163226i
\(27\) 4.36811 26.6443i 0.0311350 0.189915i
\(28\) 99.2684 + 75.4619i 0.669999 + 0.509320i
\(29\) −45.9129 + 67.7164i −0.293993 + 0.433608i −0.945786 0.324789i \(-0.894707\pi\)
0.651793 + 0.758397i \(0.274017\pi\)
\(30\) −77.9758 + 115.006i −0.474546 + 0.699903i
\(31\) −80.9959 61.5715i −0.469267 0.356728i 0.343659 0.939095i \(-0.388334\pi\)
−0.812926 + 0.582367i \(0.802127\pi\)
\(32\) 25.9960 158.569i 0.143609 0.875977i
\(33\) 69.3648 + 81.6626i 0.365905 + 0.430777i
\(34\) 243.824 287.051i 1.22987 1.44791i
\(35\) 70.7052 + 431.283i 0.341467 + 2.08286i
\(36\) 16.1898 30.5372i 0.0749528 0.141376i
\(37\) 257.448 + 56.6685i 1.14390 + 0.251790i 0.746197 0.665726i \(-0.231878\pi\)
0.397699 + 0.917516i \(0.369809\pi\)
\(38\) 353.674 + 119.167i 1.50983 + 0.508720i
\(39\) −1.34014 24.7174i −0.00550242 0.101486i
\(40\) 153.373 116.591i 0.606260 0.460867i
\(41\) 154.205 + 290.861i 0.587384 + 1.10792i 0.981965 + 0.189063i \(0.0605451\pi\)
−0.394581 + 0.918861i \(0.629110\pi\)
\(42\) −89.6699 322.962i −0.329437 1.18653i
\(43\) −23.7248 22.4733i −0.0841394 0.0797011i 0.644474 0.764626i \(-0.277076\pi\)
−0.728614 + 0.684925i \(0.759835\pi\)
\(44\) 50.7683 + 127.419i 0.173946 + 0.436571i
\(45\) 114.800 38.6805i 0.380296 0.128137i
\(46\) 598.532 65.0943i 1.91845 0.208644i
\(47\) −362.060 167.507i −1.12366 0.519860i −0.232067 0.972700i \(-0.574549\pi\)
−0.891592 + 0.452840i \(0.850411\pi\)
\(48\) −174.183 + 164.995i −0.523775 + 0.496146i
\(49\) −609.444 366.690i −1.77680 1.06907i
\(50\) −192.162 20.8989i −0.543516 0.0591109i
\(51\) −320.684 + 70.5878i −0.880484 + 0.193809i
\(52\) 8.47742 30.5329i 0.0226078 0.0814260i
\(53\) 517.422 311.322i 1.34101 0.806857i 0.349503 0.936935i \(-0.386350\pi\)
0.991504 + 0.130078i \(0.0415228\pi\)
\(54\) −84.3198 + 39.0105i −0.212490 + 0.0983084i
\(55\) −177.937 + 446.589i −0.436237 + 1.09487i
\(56\) −25.1605 + 464.058i −0.0600395 + 1.10736i
\(57\) −182.599 269.314i −0.424314 0.625816i
\(58\) 281.520 0.637335
\(59\) −452.557 + 23.8903i −0.998610 + 0.0527161i
\(60\) 155.076 0.333670
\(61\) 416.119 + 613.730i 0.873419 + 1.28820i 0.956523 + 0.291656i \(0.0942063\pi\)
−0.0831038 + 0.996541i \(0.526483\pi\)
\(62\) −18.9536 + 349.578i −0.0388243 + 0.716073i
\(63\) −108.163 + 271.469i −0.216306 + 0.542887i
\(64\) 78.8494 36.4796i 0.154003 0.0712493i
\(65\) 95.1648 57.2588i 0.181596 0.109263i
\(66\) 98.6344 355.249i 0.183955 0.662548i
\(67\) −400.175 + 88.0852i −0.729689 + 0.160617i −0.564251 0.825603i \(-0.690835\pi\)
−0.165438 + 0.986220i \(0.552904\pi\)
\(68\) −417.879 45.4471i −0.745224 0.0810480i
\(69\) −449.767 270.616i −0.784719 0.472150i
\(70\) 1091.79 1034.20i 1.86419 1.76586i
\(71\) −691.863 320.090i −1.15646 0.535038i −0.254596 0.967047i \(-0.581943\pi\)
−0.901869 + 0.432010i \(0.857805\pi\)
\(72\) 128.064 13.9278i 0.209617 0.0227972i
\(73\) 146.073 49.2179i 0.234200 0.0789111i −0.199754 0.979846i \(-0.564014\pi\)
0.433954 + 0.900935i \(0.357118\pi\)
\(74\) −335.745 842.657i −0.527427 1.32374i
\(75\) 122.347 + 115.893i 0.188365 + 0.178429i
\(76\) −111.433 401.346i −0.168188 0.605757i
\(77\) −543.191 1024.57i −0.803926 1.51637i
\(78\) −67.8090 + 51.5471i −0.0984341 + 0.0748277i
\(79\) 37.0535 + 683.411i 0.0527701 + 0.973288i 0.898306 + 0.439370i \(0.144798\pi\)
−0.845536 + 0.533918i \(0.820719\pi\)
\(80\) −1020.12 343.717i −1.42565 0.480359i
\(81\) 79.1063 + 17.4126i 0.108513 + 0.0238856i
\(82\) 530.617 1000.85i 0.714595 1.34787i
\(83\) −108.716 663.136i −0.143772 0.876972i −0.955943 0.293552i \(-0.905163\pi\)
0.812171 0.583420i \(-0.198286\pi\)
\(84\) −242.176 + 285.112i −0.314567 + 0.370337i
\(85\) −953.765 1122.86i −1.21706 1.43284i
\(86\) −18.1920 + 110.967i −0.0228104 + 0.139138i
\(87\) −195.394 148.535i −0.240787 0.183041i
\(88\) −286.879 + 423.115i −0.347516 + 0.512548i
\(89\) −244.086 + 360.000i −0.290709 + 0.428763i −0.944798 0.327654i \(-0.893742\pi\)
0.654089 + 0.756418i \(0.273052\pi\)
\(90\) −331.847 252.263i −0.388663 0.295454i
\(91\) −43.3434 + 264.383i −0.0499299 + 0.304559i
\(92\) −435.007 512.129i −0.492963 0.580361i
\(93\) 197.599 232.631i 0.220323 0.259384i
\(94\) 222.081 + 1354.63i 0.243680 + 1.48638i
\(95\) 683.823 1289.83i 0.738513 1.39298i
\(96\) 470.787 + 103.628i 0.500515 + 0.110172i
\(97\) 109.738 + 36.9749i 0.114868 + 0.0387034i 0.376148 0.926559i \(-0.377248\pi\)
−0.261281 + 0.965263i \(0.584145\pi\)
\(98\) 132.501 + 2443.83i 0.136577 + 2.51902i
\(99\) −255.895 + 194.526i −0.259782 + 0.197481i
\(100\) 101.050 + 190.601i 0.101050 + 0.190601i
\(101\) 354.913 + 1278.28i 0.349655 + 1.25934i 0.904171 + 0.427170i \(0.140489\pi\)
−0.554516 + 0.832173i \(0.687097\pi\)
\(102\) 820.290 + 777.020i 0.796283 + 0.754279i
\(103\) 18.2399 + 45.7788i 0.0174489 + 0.0437934i 0.937443 0.348139i \(-0.113186\pi\)
−0.919994 + 0.391932i \(0.871807\pi\)
\(104\) 111.919 37.7100i 0.105525 0.0355555i
\(105\) −1303.43 + 141.757i −1.21145 + 0.131753i
\(106\) −1885.83 872.477i −1.72800 0.799457i
\(107\) −523.483 + 495.869i −0.472963 + 0.448014i −0.886675 0.462394i \(-0.846991\pi\)
0.413712 + 0.910408i \(0.364232\pi\)
\(108\) 88.8478 + 53.4579i 0.0791609 + 0.0476295i
\(109\) −679.495 73.8995i −0.597099 0.0649385i −0.195421 0.980719i \(-0.562607\pi\)
−0.401678 + 0.915781i \(0.631573\pi\)
\(110\) 1615.52 355.602i 1.40031 0.308230i
\(111\) −211.570 + 762.006i −0.180913 + 0.651590i
\(112\) 2225.01 1338.75i 1.87718 1.12946i
\(113\) −352.542 + 163.103i −0.293490 + 0.135783i −0.561109 0.827742i \(-0.689625\pi\)
0.267619 + 0.963525i \(0.413763\pi\)
\(114\) −414.418 + 1040.11i −0.340472 + 0.854520i
\(115\) 127.502 2351.63i 0.103388 1.90688i
\(116\) −176.323 260.057i −0.141131 0.208152i
\(117\) 74.2612 0.0586791
\(118\) 941.946 + 1242.78i 0.734857 + 0.969553i
\(119\) 3553.88 2.73768
\(120\) 324.350 + 478.380i 0.246741 + 0.363916i
\(121\) −3.00011 + 55.3337i −0.00225403 + 0.0415731i
\(122\) 944.401 2370.27i 0.700837 1.75897i
\(123\) −896.350 + 414.696i −0.657082 + 0.303999i
\(124\) 334.797 201.441i 0.242465 0.145886i
\(125\) 247.838 892.633i 0.177339 0.638717i
\(126\) 982.028 216.161i 0.694334 0.152834i
\(127\) 2193.41 + 238.548i 1.53255 + 0.166675i 0.835156 0.550013i \(-0.185377\pi\)
0.697394 + 0.716688i \(0.254343\pi\)
\(128\) −1357.63 816.862i −0.937493 0.564071i
\(129\) 71.1743 67.4199i 0.0485779 0.0460155i
\(130\) −346.843 160.467i −0.234001 0.108261i
\(131\) −1196.59 + 130.137i −0.798065 + 0.0867948i −0.498060 0.867143i \(-0.665954\pi\)
−0.300005 + 0.953938i \(0.596988\pi\)
\(132\) −389.942 + 131.387i −0.257122 + 0.0866344i
\(133\) 1303.49 + 3271.51i 0.849825 + 2.13290i
\(134\) 1023.63 + 969.630i 0.659909 + 0.625099i
\(135\) 97.2259 + 350.176i 0.0619842 + 0.223247i
\(136\) −733.822 1384.13i −0.462682 0.872710i
\(137\) −1373.64 + 1044.21i −0.856628 + 0.651192i −0.938435 0.345457i \(-0.887724\pi\)
0.0818067 + 0.996648i \(0.473931\pi\)
\(138\) 97.7849 + 1803.54i 0.0603189 + 1.11252i
\(139\) 1327.88 + 447.415i 0.810284 + 0.273016i 0.693792 0.720175i \(-0.255939\pi\)
0.116492 + 0.993192i \(0.462835\pi\)
\(140\) −1639.16 360.806i −0.989531 0.217812i
\(141\) 560.589 1057.38i 0.334823 0.631544i
\(142\) 424.376 + 2588.58i 0.250794 + 1.52978i
\(143\) −190.782 + 224.606i −0.111566 + 0.131346i
\(144\) −465.970 548.582i −0.269658 0.317466i
\(145\) 178.158 1086.72i 0.102036 0.622392i
\(146\) −422.249 320.985i −0.239353 0.181951i
\(147\) 1197.44 1766.09i 0.671859 0.990918i
\(148\) −568.126 + 837.924i −0.315539 + 0.465385i
\(149\) −793.071 602.877i −0.436046 0.331474i 0.364014 0.931394i \(-0.381406\pi\)
−0.800060 + 0.599920i \(0.795199\pi\)
\(150\) 93.8149 572.246i 0.0510664 0.311491i
\(151\) −1689.70 1989.27i −0.910637 1.07208i −0.997121 0.0758313i \(-0.975839\pi\)
0.0864839 0.996253i \(-0.472437\pi\)
\(152\) 1005.01 1183.19i 0.536296 0.631377i
\(153\) −159.368 972.104i −0.0842103 0.513660i
\(154\) −1869.11 + 3525.52i −0.978034 + 1.84477i
\(155\) 1337.44 + 294.392i 0.693068 + 0.152556i
\(156\) 90.0875 + 30.3540i 0.0462357 + 0.0155786i
\(157\) 73.8766 + 1362.57i 0.0375541 + 0.692645i 0.955329 + 0.295544i \(0.0955009\pi\)
−0.917775 + 0.397101i \(0.870016\pi\)
\(158\) 1874.85 1425.22i 0.944018 0.717624i
\(159\) 848.560 + 1600.55i 0.423240 + 0.798315i
\(160\) 578.622 + 2084.01i 0.285901 + 1.02972i
\(161\) 4124.44 + 3906.88i 2.01895 + 1.91245i
\(162\) −103.165 258.924i −0.0500333 0.125574i
\(163\) −75.4613 + 25.4259i −0.0362613 + 0.0122178i −0.337374 0.941371i \(-0.609539\pi\)
0.301112 + 0.953589i \(0.402642\pi\)
\(164\) −1256.88 + 136.694i −0.598451 + 0.0650855i
\(165\) −1308.90 605.562i −0.617563 0.285715i
\(166\) −1678.72 + 1590.17i −0.784904 + 0.743501i
\(167\) −16.9946 10.2253i −0.00787475 0.00473808i 0.511611 0.859217i \(-0.329049\pi\)
−0.519486 + 0.854479i \(0.673876\pi\)
\(168\) −1386.04 150.741i −0.636522 0.0692259i
\(169\) −2079.14 + 457.654i −0.946356 + 0.208309i
\(170\) −1356.22 + 4884.67i −0.611867 + 2.20375i
\(171\) 836.414 503.254i 0.374048 0.225057i
\(172\) 113.900 52.6959i 0.0504932 0.0233606i
\(173\) −123.936 + 311.055i −0.0544663 + 0.136700i −0.953692 0.300785i \(-0.902751\pi\)
0.899226 + 0.437485i \(0.144131\pi\)
\(174\) −45.7236 + 843.322i −0.0199212 + 0.367426i
\(175\) −1023.57 1509.66i −0.442141 0.652110i
\(176\) 2856.32 1.22331
\(177\) 1.93719 1359.56i 0.000822644 0.577350i
\(178\) 1496.64 0.630214
\(179\) −2429.12 3582.68i −1.01431 1.49599i −0.861516 0.507730i \(-0.830485\pi\)
−0.152789 0.988259i \(-0.548826\pi\)
\(180\) −25.1869 + 464.545i −0.0104296 + 0.192362i
\(181\) −776.844 + 1949.73i −0.319018 + 0.800676i 0.678779 + 0.734343i \(0.262509\pi\)
−0.997798 + 0.0663334i \(0.978870\pi\)
\(182\) 836.677 387.088i 0.340762 0.157653i
\(183\) −1906.07 + 1146.85i −0.769951 + 0.463264i
\(184\) 669.984 2413.06i 0.268434 0.966812i
\(185\) −3465.27 + 762.764i −1.37715 + 0.303133i
\(186\) −1044.12 113.555i −0.411605 0.0447647i
\(187\) 3349.60 + 2015.39i 1.30988 + 0.788126i
\(188\) 1112.26 1053.59i 0.431489 0.408728i
\(189\) −795.645 368.105i −0.306215 0.141670i
\(190\) −4994.00 + 543.130i −1.90686 + 0.207383i
\(191\) 61.5340 20.7332i 0.0233112 0.00785447i −0.307622 0.951509i \(-0.599533\pi\)
0.330933 + 0.943654i \(0.392637\pi\)
\(192\) 96.4719 + 242.126i 0.0362618 + 0.0910102i
\(193\) −243.623 230.772i −0.0908618 0.0860689i 0.640921 0.767607i \(-0.278553\pi\)
−0.731783 + 0.681538i \(0.761311\pi\)
\(194\) −106.600 383.940i −0.0394508 0.142089i
\(195\) 156.068 + 294.375i 0.0573142 + 0.108106i
\(196\) 2174.52 1653.03i 0.792464 0.602415i
\(197\) −266.297 4911.57i −0.0963091 1.77632i −0.504491 0.863417i \(-0.668320\pi\)
0.408182 0.912901i \(-0.366163\pi\)
\(198\) 1048.16 + 353.168i 0.376211 + 0.126760i
\(199\) −4566.85 1005.24i −1.62681 0.358088i −0.694429 0.719561i \(-0.744343\pi\)
−0.932383 + 0.361473i \(0.882274\pi\)
\(200\) −376.616 + 710.373i −0.133154 + 0.251155i
\(201\) −198.873 1213.07i −0.0697882 0.425689i
\(202\) 2955.28 3479.22i 1.02937 1.21187i
\(203\) 1719.74 + 2024.64i 0.594592 + 0.700008i
\(204\) 204.012 1244.42i 0.0700180 0.427091i
\(205\) −3527.65 2681.65i −1.20186 0.913632i
\(206\) 95.1590 140.349i 0.0321847 0.0474688i
\(207\) 883.707 1303.37i 0.296724 0.437635i
\(208\) −525.333 399.348i −0.175122 0.133124i
\(209\) −626.694 + 3822.66i −0.207413 + 1.26516i
\(210\) 2920.71 + 3438.53i 0.959754 + 1.12991i
\(211\) 409.680 482.313i 0.133666 0.157364i −0.691257 0.722609i \(-0.742943\pi\)
0.824923 + 0.565245i \(0.191219\pi\)
\(212\) 375.181 + 2288.50i 0.121545 + 0.741392i
\(213\) 1071.23 2020.56i 0.344599 0.649982i
\(214\) 2423.13 + 533.372i 0.774028 + 0.170376i
\(215\) 416.837 + 140.449i 0.132223 + 0.0445513i
\(216\) 20.9223 + 385.889i 0.00659066 + 0.121558i
\(217\) −2629.88 + 1999.18i −0.822709 + 0.625407i
\(218\) 1101.66 + 2077.95i 0.342265 + 0.645580i
\(219\) 123.712 + 445.571i 0.0381721 + 0.137484i
\(220\) −1340.33 1269.63i −0.410750 0.389083i
\(221\) −334.282 838.984i −0.101748 0.255367i
\(222\) 2578.79 868.897i 0.779628 0.262687i
\(223\) 2707.09 294.413i 0.812914 0.0884098i 0.307788 0.951455i \(-0.400411\pi\)
0.505127 + 0.863045i \(0.331446\pi\)
\(224\) −4735.14 2190.71i −1.41241 0.653450i
\(225\) −367.041 + 347.679i −0.108753 + 0.103016i
\(226\) 1145.30 + 689.105i 0.337099 + 0.202825i
\(227\) −3292.83 358.117i −0.962787 0.104709i −0.386796 0.922165i \(-0.626418\pi\)
−0.575991 + 0.817456i \(0.695384\pi\)
\(228\) 1220.37 268.624i 0.354478 0.0780266i
\(229\) 946.457 3408.83i 0.273116 0.983676i −0.692009 0.721888i \(-0.743274\pi\)
0.965126 0.261787i \(-0.0843119\pi\)
\(230\) −6943.81 + 4177.95i −1.99070 + 1.19776i
\(231\) 3157.41 1460.78i 0.899319 0.416069i
\(232\) 433.438 1087.85i 0.122658 0.307848i
\(233\) 133.043 2453.84i 0.0374075 0.689941i −0.918347 0.395776i \(-0.870476\pi\)
0.955755 0.294165i \(-0.0950416\pi\)
\(234\) −143.401 211.501i −0.0400616 0.0590865i
\(235\) 5369.66 1.49054
\(236\) 558.066 1648.51i 0.153928 0.454700i
\(237\) −2053.24 −0.562753
\(238\) −6862.67 10121.7i −1.86908 2.75668i
\(239\) −190.253 + 3509.00i −0.0514913 + 0.949701i 0.852654 + 0.522476i \(0.174992\pi\)
−0.904145 + 0.427225i \(0.859491\pi\)
\(240\) 1195.32 3000.03i 0.321491 0.806880i
\(241\) −5464.95 + 2528.36i −1.46070 + 0.675792i −0.979615 0.200883i \(-0.935619\pi\)
−0.481084 + 0.876674i \(0.659757\pi\)
\(242\) 163.387 98.3069i 0.0434006 0.0261133i
\(243\) −65.0094 + 234.143i −0.0171620 + 0.0618118i
\(244\) −2781.06 + 612.157i −0.729668 + 0.160612i
\(245\) 9517.44 + 1035.08i 2.48182 + 0.269915i
\(246\) 2911.96 + 1752.07i 0.754716 + 0.454097i
\(247\) 649.716 615.444i 0.167370 0.158542i
\(248\) 1321.66 + 611.463i 0.338408 + 0.156564i
\(249\) 2004.15 217.964i 0.510071 0.0554736i
\(250\) −3020.86 + 1017.85i −0.764225 + 0.257497i
\(251\) −331.269 831.422i −0.0833048 0.209079i 0.881424 0.472327i \(-0.156586\pi\)
−0.964728 + 0.263247i \(0.915206\pi\)
\(252\) −814.748 771.771i −0.203668 0.192925i
\(253\) 1671.79 + 6021.26i 0.415434 + 1.49626i
\(254\) −3556.16 6707.63i −0.878477 1.65698i
\(255\) 3518.54 2674.73i 0.864077 0.656855i
\(256\) 257.538 + 4750.01i 0.0628755 + 1.15967i
\(257\) 3165.16 + 1066.47i 0.768237 + 0.258849i 0.676014 0.736889i \(-0.263706\pi\)
0.0922236 + 0.995738i \(0.470603\pi\)
\(258\) −329.457 72.5189i −0.0795003 0.0174993i
\(259\) 4009.23 7562.20i 0.961858 1.81426i
\(260\) 69.0037 + 420.904i 0.0164593 + 0.100398i
\(261\) 476.686 561.199i 0.113050 0.133093i
\(262\) 2681.30 + 3156.67i 0.632256 + 0.744349i
\(263\) −490.535 + 2992.13i −0.115010 + 0.701531i 0.864878 + 0.501982i \(0.167396\pi\)
−0.979888 + 0.199548i \(0.936052\pi\)
\(264\) −1220.89 928.096i −0.284623 0.216365i
\(265\) −4561.34 + 6727.47i −1.05736 + 1.55949i
\(266\) 6800.39 10029.8i 1.56751 2.31191i
\(267\) −1038.77 789.654i −0.238097 0.180996i
\(268\) 254.583 1552.89i 0.0580265 0.353946i
\(269\) 4769.54 + 5615.14i 1.08106 + 1.27272i 0.959978 + 0.280074i \(0.0903591\pi\)
0.121077 + 0.992643i \(0.461365\pi\)
\(270\) 809.577 953.108i 0.182479 0.214831i
\(271\) 607.640 + 3706.44i 0.136205 + 0.830813i 0.963236 + 0.268657i \(0.0865797\pi\)
−0.827031 + 0.562156i \(0.809972\pi\)
\(272\) −4100.21 + 7733.81i −0.914013 + 1.72401i
\(273\) −784.945 172.780i −0.174019 0.0383044i
\(274\) 5626.54 + 1895.80i 1.24055 + 0.417991i
\(275\) −108.618 2003.34i −0.0238179 0.439295i
\(276\) 1604.79 1219.93i 0.349989 0.266054i
\(277\) −2004.95 3781.74i −0.434895 0.820299i 0.565094 0.825027i \(-0.308840\pi\)
−0.999989 + 0.00472775i \(0.998495\pi\)
\(278\) −1289.92 4645.87i −0.278289 1.00230i
\(279\) 664.776 + 629.710i 0.142649 + 0.135124i
\(280\) −2315.38 5811.15i −0.494179 1.24030i
\(281\) 1031.22 347.459i 0.218924 0.0737640i −0.207702 0.978192i \(-0.566599\pi\)
0.426626 + 0.904428i \(0.359702\pi\)
\(282\) −4094.01 + 445.251i −0.864521 + 0.0940223i
\(283\) −4276.78 1978.65i −0.898332 0.415613i −0.0843052 0.996440i \(-0.526867\pi\)
−0.814027 + 0.580827i \(0.802729\pi\)
\(284\) 2125.42 2013.31i 0.444087 0.420661i
\(285\) 3752.74 + 2257.95i 0.779976 + 0.469296i
\(286\) 1008.10 + 109.638i 0.208427 + 0.0226678i
\(287\) 10439.3 2297.87i 2.14709 0.472609i
\(288\) −386.892 + 1393.46i −0.0791591 + 0.285105i
\(289\) −6055.46 + 3643.45i −1.23254 + 0.741594i
\(290\) −3439.07 + 1591.08i −0.696376 + 0.322178i
\(291\) −128.585 + 322.725i −0.0259031 + 0.0650119i
\(292\) −32.0483 + 591.097i −0.00642290 + 0.118463i
\(293\) −1625.93 2398.06i −0.324190 0.478145i 0.630315 0.776340i \(-0.282926\pi\)
−0.954505 + 0.298195i \(0.903615\pi\)
\(294\) −7342.25 −1.45649
\(295\) 5393.45 2849.59i 1.06447 0.562405i
\(296\) −3773.11 −0.740904
\(297\) −541.161 798.152i −0.105728 0.155938i
\(298\) −185.584 + 3422.90i −0.0360758 + 0.665379i
\(299\) 534.369 1341.17i 0.103356 0.259403i
\(300\) −587.376 + 271.749i −0.113041 + 0.0522981i
\(301\) −909.179 + 547.035i −0.174100 + 0.104753i
\(302\) −2402.70 + 8653.75i −0.457814 + 1.64890i
\(303\) −3886.86 + 855.563i −0.736945 + 0.162214i
\(304\) −8623.21 937.830i −1.62689 0.176935i
\(305\) −8551.98 5145.56i −1.60552 0.966012i
\(306\) −2460.87 + 2331.06i −0.459734 + 0.435483i
\(307\) −765.789 354.292i −0.142365 0.0658648i 0.347413 0.937712i \(-0.387060\pi\)
−0.489778 + 0.871847i \(0.662922\pi\)
\(308\) 4427.40 481.508i 0.819073 0.0890795i
\(309\) −140.097 + 47.2043i −0.0257924 + 0.00869048i
\(310\) −1744.19 4377.59i −0.319559 0.802034i
\(311\) 3818.57 + 3617.14i 0.696241 + 0.659515i 0.951603 0.307331i \(-0.0994359\pi\)
−0.255362 + 0.966846i \(0.582195\pi\)
\(312\) 94.7866 + 341.391i 0.0171995 + 0.0619469i
\(313\) 4602.97 + 8682.12i 0.831231 + 1.56787i 0.823097 + 0.567901i \(0.192244\pi\)
0.00813376 + 0.999967i \(0.497411\pi\)
\(314\) 3738.04 2841.58i 0.671815 0.510700i
\(315\) −212.948 3927.59i −0.0380897 0.702523i
\(316\) −2490.82 839.256i −0.443417 0.149405i
\(317\) 3634.06 + 799.917i 0.643877 + 0.141728i 0.524893 0.851168i \(-0.324105\pi\)
0.118984 + 0.992896i \(0.462036\pi\)
\(318\) 2919.88 5507.48i 0.514902 0.971208i
\(319\) 472.728 + 2883.52i 0.0829709 + 0.506100i
\(320\) −757.055 + 891.274i −0.132252 + 0.155699i
\(321\) −1400.40 1648.68i −0.243498 0.286668i
\(322\) 3162.60 19291.0i 0.547344 3.33865i
\(323\) −9450.70 7184.23i −1.62802 1.23759i
\(324\) −174.569 + 257.470i −0.0299329 + 0.0441478i
\(325\) −260.115 + 383.640i −0.0443956 + 0.0654786i
\(326\) 218.133 + 165.820i 0.0370591 + 0.0281716i
\(327\) 331.735 2023.49i 0.0561008 0.342200i
\(328\) −3050.52 3591.35i −0.513526 0.604570i
\(329\) −8385.61 + 9872.30i −1.40521 + 1.65434i
\(330\) 802.855 + 4897.20i 0.133926 + 0.816915i
\(331\) −3525.52 + 6649.83i −0.585438 + 1.10425i 0.397027 + 0.917807i \(0.370042\pi\)
−0.982465 + 0.186446i \(0.940303\pi\)
\(332\) 2520.36 + 554.772i 0.416634 + 0.0917081i
\(333\) −2248.30 757.542i −0.369989 0.124664i
\(334\) 3.69484 + 68.1472i 0.000605307 + 0.0111642i
\(335\) 4390.73 3337.74i 0.716093 0.544360i
\(336\) 3648.97 + 6882.69i 0.592463 + 1.11750i
\(337\) 2199.86 + 7923.19i 0.355591 + 1.28072i 0.897772 + 0.440461i \(0.145185\pi\)
−0.542181 + 0.840262i \(0.682401\pi\)
\(338\) 5318.33 + 5037.79i 0.855855 + 0.810709i
\(339\) −431.334 1082.57i −0.0691057 0.173442i
\(340\) 5361.69 1806.56i 0.855230 0.288161i
\(341\) −3612.44 + 392.876i −0.573679 + 0.0623913i
\(342\) −3048.45 1410.36i −0.481991 0.222993i
\(343\) −8680.71 + 8222.81i −1.36651 + 1.29443i
\(344\) 400.787 + 241.145i 0.0628168 + 0.0377956i
\(345\) 7023.84 + 763.888i 1.09609 + 0.119207i
\(346\) 1125.23 247.682i 0.174835 0.0384840i
\(347\) 1703.86 6136.76i 0.263597 0.949391i −0.706708 0.707506i \(-0.749820\pi\)
0.970305 0.241885i \(-0.0777658\pi\)
\(348\) 807.664 485.955i 0.124412 0.0748561i
\(349\) 1621.11 750.006i 0.248642 0.115034i −0.291610 0.956537i \(-0.594191\pi\)
0.540252 + 0.841503i \(0.318329\pi\)
\(350\) −2323.04 + 5830.40i −0.354777 + 0.890423i
\(351\) −12.0613 + 222.457i −0.00183414 + 0.0338287i
\(352\) −3220.62 4750.06i −0.487669 0.719258i
\(353\) 13097.4 1.97480 0.987399 0.158253i \(-0.0505861\pi\)
0.987399 + 0.158253i \(0.0505861\pi\)
\(354\) −3875.86 + 2619.85i −0.581920 + 0.393342i
\(355\) 10260.9 1.53406
\(356\) −937.383 1382.54i −0.139554 0.205827i
\(357\) −577.209 + 10646.0i −0.0855718 + 1.57828i
\(358\) −5512.99 + 13836.6i −0.813885 + 2.04270i
\(359\) −4827.99 + 2233.67i −0.709782 + 0.328380i −0.741347 0.671122i \(-0.765813\pi\)
0.0315653 + 0.999502i \(0.489951\pi\)
\(360\) −1485.72 + 893.925i −0.217511 + 0.130872i
\(361\) 1312.12 4725.84i 0.191300 0.688999i
\(362\) 7053.08 1552.50i 1.02404 0.225408i
\(363\) −165.270 17.9742i −0.0238966 0.00259891i
\(364\) −881.607 530.445i −0.126947 0.0763816i
\(365\) −1506.27 + 1426.82i −0.216005 + 0.204611i
\(366\) 6946.99 + 3214.02i 0.992145 + 0.459015i
\(367\) −5770.73 + 627.605i −0.820789 + 0.0892662i −0.508871 0.860843i \(-0.669937\pi\)
−0.311918 + 0.950109i \(0.600971\pi\)
\(368\) −13260.5 + 4467.98i −1.87840 + 0.632906i
\(369\) −1096.68 2752.46i −0.154718 0.388312i
\(370\) 8863.97 + 8396.40i 1.24545 + 1.17975i
\(371\) −5245.41 18892.2i −0.734037 2.64376i
\(372\) 549.059 + 1035.64i 0.0765253 + 0.144342i
\(373\) 9793.73 7445.00i 1.35952 1.03348i 0.364773 0.931097i \(-0.381147\pi\)
0.994745 0.102382i \(-0.0326464\pi\)
\(374\) −728.243 13431.7i −0.100686 1.85704i
\(375\) 2633.72 + 887.404i 0.362679 + 0.122201i
\(376\) 5576.49 + 1227.48i 0.764855 + 0.168357i
\(377\) 316.207 596.429i 0.0431975 0.0814792i
\(378\) 488.033 + 2976.87i 0.0664067 + 0.405063i
\(379\) −2942.73 + 3464.45i −0.398834 + 0.469543i −0.924519 0.381136i \(-0.875533\pi\)
0.525685 + 0.850679i \(0.323809\pi\)
\(380\) 3629.58 + 4273.07i 0.489983 + 0.576853i
\(381\) −1070.84 + 6531.84i −0.143992 + 0.878311i
\(382\) −177.874 135.216i −0.0238242 0.0181107i
\(383\) −2035.37 + 3001.94i −0.271547 + 0.400501i −0.938873 0.344264i \(-0.888128\pi\)
0.667326 + 0.744766i \(0.267439\pi\)
\(384\) 2667.49 3934.26i 0.354492 0.522837i
\(385\) 12426.2 + 9446.18i 1.64493 + 1.25045i
\(386\) −186.808 + 1139.48i −0.0246329 + 0.150254i
\(387\) 190.403 + 224.160i 0.0250097 + 0.0294437i
\(388\) −287.901 + 338.944i −0.0376700 + 0.0443486i
\(389\) −1700.57 10373.0i −0.221651 1.35201i −0.829743 0.558146i \(-0.811513\pi\)
0.608091 0.793867i \(-0.291935\pi\)
\(390\) 537.028 1012.94i 0.0697268 0.131519i
\(391\) −18703.1 4116.86i −2.41907 0.532477i
\(392\) 9647.42 + 3250.59i 1.24303 + 0.418826i
\(393\) −195.492 3605.64i −0.0250923 0.462800i
\(394\) −13474.2 + 10242.8i −1.72290 + 1.30971i
\(395\) −4315.12 8139.17i −0.549663 1.03677i
\(396\) −330.249 1189.45i −0.0419082 0.150940i
\(397\) 4307.43 + 4080.22i 0.544544 + 0.515819i 0.909777 0.415097i \(-0.136252\pi\)
−0.365234 + 0.930916i \(0.619011\pi\)
\(398\) 5955.77 + 14947.8i 0.750090 + 1.88258i
\(399\) −10011.8 + 3373.38i −1.25619 + 0.423259i
\(400\) 4466.18 485.726i 0.558272 0.0607158i
\(401\) 2024.88 + 936.810i 0.252164 + 0.116664i 0.541900 0.840443i \(-0.317705\pi\)
−0.289736 + 0.957107i \(0.593567\pi\)
\(402\) −3070.88 + 2908.89i −0.380999 + 0.360901i
\(403\) 719.328 + 432.805i 0.0889139 + 0.0534977i
\(404\) −5064.92 550.843i −0.623736 0.0678354i
\(405\) −1064.78 + 234.375i −0.130640 + 0.0287561i
\(406\) 2445.41 8807.58i 0.298926 1.07663i
\(407\) 8067.26 4853.91i 0.982505 0.591153i
\(408\) 4265.50 1973.43i 0.517583 0.239459i
\(409\) 2692.64 6758.02i 0.325532 0.817023i −0.671570 0.740941i \(-0.734380\pi\)
0.997102 0.0760817i \(-0.0242410\pi\)
\(410\) −825.494 + 15225.3i −0.0994348 + 1.83397i
\(411\) −2904.95 4284.48i −0.348639 0.514203i
\(412\) −189.249 −0.0226302
\(413\) −3183.69 + 14366.1i −0.379320 + 1.71165i
\(414\) −5418.55 −0.643255
\(415\) 5075.96 + 7486.47i 0.600407 + 0.885534i
\(416\) −71.7804 + 1323.91i −0.00845992 + 0.156034i
\(417\) −1555.95 + 3905.13i −0.182722 + 0.458598i
\(418\) 12097.4 5596.84i 1.41555 0.654905i
\(419\) −7983.82 + 4803.70i −0.930871 + 0.560086i −0.898300 0.439383i \(-0.855197\pi\)
−0.0325711 + 0.999469i \(0.510370\pi\)
\(420\) 1347.06 4851.67i 0.156499 0.563660i
\(421\) 2706.34 595.710i 0.313299 0.0689623i −0.0555376 0.998457i \(-0.517687\pi\)
0.368837 + 0.929494i \(0.379756\pi\)
\(422\) −2164.77 235.432i −0.249714 0.0271580i
\(423\) 3076.45 + 1851.04i 0.353622 + 0.212767i
\(424\) −6274.90 + 5943.90i −0.718717 + 0.680805i
\(425\) 5580.20 + 2581.68i 0.636893 + 0.294658i
\(426\) −7823.26 + 850.831i −0.889762 + 0.0967674i
\(427\) 22815.6 7687.48i 2.58577 0.871248i
\(428\) −1024.96 2572.45i −0.115755 0.290524i
\(429\) −641.844 607.987i −0.0722343 0.0684240i
\(430\) −404.920 1458.39i −0.0454116 0.163558i
\(431\) −1971.92 3719.44i −0.220381 0.415682i 0.748527 0.663104i \(-0.230761\pi\)
−0.968908 + 0.247422i \(0.920417\pi\)
\(432\) 1719.01 1306.76i 0.191449 0.145536i
\(433\) −69.4612 1281.14i −0.00770922 0.142188i −0.999854 0.0170926i \(-0.994559\pi\)
0.992145 0.125096i \(-0.0399238\pi\)
\(434\) 10772.2 + 3629.58i 1.19143 + 0.401440i
\(435\) 3226.43 + 710.191i 0.355622 + 0.0782783i
\(436\) 1229.53 2319.14i 0.135054 0.254740i
\(437\) −3070.14 18727.0i −0.336075 2.04997i
\(438\) 1030.12 1212.75i 0.112377 0.132301i
\(439\) −4898.81 5767.33i −0.532591 0.627015i 0.428401 0.903589i \(-0.359077\pi\)
−0.960993 + 0.276573i \(0.910801\pi\)
\(440\) 1113.19 6790.16i 0.120612 0.735701i
\(441\) 5096.03 + 3873.90i 0.550267 + 0.418302i
\(442\) −1743.97 + 2572.17i −0.187675 + 0.276800i
\(443\) 5183.54 7645.15i 0.555931 0.819937i −0.441058 0.897478i \(-0.645397\pi\)
0.996989 + 0.0775419i \(0.0247072\pi\)
\(444\) −2417.81 1837.97i −0.258433 0.196456i
\(445\) 947.139 5777.29i 0.100896 0.615438i
\(446\) −6065.99 7141.44i −0.644020 0.758199i
\(447\) 1934.79 2277.81i 0.204725 0.241021i
\(448\) −456.372 2783.75i −0.0481284 0.293571i
\(449\) −2500.28 + 4716.02i −0.262796 + 0.495686i −0.979435 0.201758i \(-0.935335\pi\)
0.716639 + 0.697444i \(0.245679\pi\)
\(450\) 1698.98 + 373.974i 0.177980 + 0.0391763i
\(451\) 11142.4 + 3754.30i 1.16336 + 0.391980i
\(452\) −80.7629 1489.58i −0.00840436 0.155009i
\(453\) 6233.50 4738.59i 0.646524 0.491475i
\(454\) 5338.63 + 10069.7i 0.551882 + 1.04096i
\(455\) −964.740 3474.68i −0.0994016 0.358012i
\(456\) 3381.13 + 3202.78i 0.347228 + 0.328912i
\(457\) −2512.87 6306.83i −0.257215 0.645560i 0.742490 0.669857i \(-0.233645\pi\)
−0.999705 + 0.0242969i \(0.992265\pi\)
\(458\) −11536.2 + 3887.00i −1.17697 + 0.396567i
\(459\) 2937.92 319.518i 0.298759 0.0324920i
\(460\) 8208.49 + 3797.65i 0.832006 + 0.384927i
\(461\) −1996.84 + 1891.51i −0.201740 + 0.191099i −0.781899 0.623405i \(-0.785749\pi\)
0.580159 + 0.814503i \(0.302990\pi\)
\(462\) −10257.5 6171.71i −1.03294 0.621502i
\(463\) 14959.6 + 1626.95i 1.50158 + 0.163307i 0.821659 0.569979i \(-0.193049\pi\)
0.679921 + 0.733285i \(0.262014\pi\)
\(464\) −6390.05 + 1406.56i −0.639333 + 0.140728i
\(465\) −1099.10 + 3958.61i −0.109612 + 0.394788i
\(466\) −7245.60 + 4359.54i −0.720271 + 0.433372i
\(467\) −5513.28 + 2550.71i −0.546304 + 0.252747i −0.673573 0.739121i \(-0.735241\pi\)
0.127268 + 0.991868i \(0.459379\pi\)
\(468\) −105.560 + 264.936i −0.0104263 + 0.0261681i
\(469\) −720.289 + 13284.9i −0.0709165 + 1.30798i
\(470\) −10369.0 15293.1i −1.01763 1.50089i
\(471\) −4093.72 −0.400486
\(472\) 6252.59 1726.43i 0.609743 0.168359i
\(473\) −1167.14 −0.113457
\(474\) 3964.89 + 5847.77i 0.384206 + 0.566661i
\(475\) −329.851 + 6083.74i −0.0318623 + 0.587666i
\(476\) −5051.73 + 12678.9i −0.486441 + 1.22087i
\(477\) −4932.44 + 2281.99i −0.473461 + 0.219046i
\(478\) 10361.3 6234.16i 0.991449 0.596535i
\(479\) −71.6386 + 258.019i −0.00683351 + 0.0246121i −0.966888 0.255200i \(-0.917859\pi\)
0.960055 + 0.279813i \(0.0902723\pi\)
\(480\) −6336.84 + 1394.84i −0.602574 + 0.132637i
\(481\) −2162.37 235.172i −0.204980 0.0222929i
\(482\) 17753.9 + 10682.2i 1.67774 + 1.00946i
\(483\) −12373.3 + 11720.6i −1.16564 + 1.10416i
\(484\) −193.145 89.3586i −0.0181391 0.00839205i
\(485\) −1549.53 + 168.522i −0.145074 + 0.0157777i
\(486\) 792.389 266.987i 0.0739578 0.0249193i
\(487\) 4483.13 + 11251.8i 0.417146 + 1.04696i 0.976015 + 0.217701i \(0.0698559\pi\)
−0.558870 + 0.829255i \(0.688765\pi\)
\(488\) −7705.14 7298.69i −0.714744 0.677041i
\(489\) −63.9096 230.181i −0.00591021 0.0212866i
\(490\) −15430.5 29105.1i −1.42261 2.68333i
\(491\) −1474.61 + 1120.97i −0.135536 + 0.103032i −0.670746 0.741688i \(-0.734026\pi\)
0.535210 + 0.844719i \(0.320233\pi\)
\(492\) −205.342 3787.32i −0.0188162 0.347044i
\(493\) −8486.05 2859.28i −0.775238 0.261208i
\(494\) −3007.45 661.990i −0.273910 0.0602922i
\(495\) 2026.61 3822.59i 0.184019 0.347096i
\(496\) −1316.38 8029.56i −0.119168 0.726891i
\(497\) −16024.1 + 18865.0i −1.44624 + 1.70264i
\(498\) −4490.86 5287.05i −0.404097 0.475740i
\(499\) −1314.64 + 8018.95i −0.117939 + 0.719394i 0.859967 + 0.510349i \(0.170484\pi\)
−0.977906 + 0.209045i \(0.932965\pi\)
\(500\) 2832.29 + 2153.05i 0.253327 + 0.192574i
\(501\) 33.3912 49.2483i 0.00297766 0.00439172i
\(502\) −1728.25 + 2548.98i −0.153657 + 0.226627i
\(503\) 12142.0 + 9230.12i 1.07631 + 0.818192i 0.984112 0.177548i \(-0.0568166\pi\)
0.0922013 + 0.995740i \(0.470610\pi\)
\(504\) 676.678 4127.55i 0.0598048 0.364793i
\(505\) −11560.2 13609.7i −1.01865 1.19925i
\(506\) 13920.6 16388.6i 1.22302 1.43985i
\(507\) −1033.26 6302.62i −0.0905103 0.552089i
\(508\) −3968.92 + 7486.18i −0.346639 + 0.653830i
\(509\) 16669.7 + 3669.29i 1.45162 + 0.319525i 0.869643 0.493682i \(-0.164349\pi\)
0.581975 + 0.813207i \(0.302280\pi\)
\(510\) −14412.2 4856.05i −1.25134 0.421626i
\(511\) −270.959 4997.55i −0.0234570 0.432639i
\(512\) 2940.16 2235.05i 0.253785 0.192922i
\(513\) 1371.70 + 2587.30i 0.118055 + 0.222675i
\(514\) −3074.67 11074.0i −0.263848 0.950294i
\(515\) −481.550 456.149i −0.0412032 0.0390297i
\(516\) 139.357 + 349.759i 0.0118892 + 0.0298397i
\(517\) −13502.1 + 4549.40i −1.14859 + 0.387006i
\(518\) −29279.6 + 3184.35i −2.48354 + 0.270101i
\(519\) −911.668 421.783i −0.0771056 0.0356728i
\(520\) −1154.09 + 1093.21i −0.0973270 + 0.0921930i
\(521\) 3653.36 + 2198.15i 0.307210 + 0.184842i 0.660807 0.750556i \(-0.270214\pi\)
−0.353597 + 0.935398i \(0.615042\pi\)
\(522\) −2518.83 273.939i −0.211200 0.0229693i
\(523\) 17489.4 3849.71i 1.46225 0.321866i 0.588603 0.808422i \(-0.299678\pi\)
0.873650 + 0.486556i \(0.161747\pi\)
\(524\) 1236.64 4453.97i 0.103097 0.371321i
\(525\) 4688.57 2821.02i 0.389764 0.234513i
\(526\) 9469.02 4380.84i 0.784922 0.363144i
\(527\) 4121.85 10345.1i 0.340703 0.855101i
\(528\) −463.914 + 8556.38i −0.0382372 + 0.705244i
\(529\) −10352.1 15268.2i −0.850831 1.25488i
\(530\) 27968.4 2.29221
\(531\) 4072.39 + 226.619i 0.332818 + 0.0185205i
\(532\) −13524.4 −1.10217
\(533\) −1524.41 2248.33i −0.123882 0.182713i
\(534\) −243.080 + 4483.34i −0.0196987 + 0.363321i
\(535\) 3592.37 9016.16i 0.290302 0.728603i
\(536\) 5322.84 2462.61i 0.428940 0.198449i
\(537\) 11126.8 6694.77i 0.894147 0.537990i
\(538\) 6782.12 24427.0i 0.543491 1.95748i
\(539\) −24808.8 + 5460.83i −1.98254 + 0.436391i
\(540\) −1387.50 150.900i −0.110571 0.0120254i
\(541\) −10298.8 6196.59i −0.818448 0.492444i 0.0437336 0.999043i \(-0.486075\pi\)
−0.862182 + 0.506599i \(0.830902\pi\)
\(542\) 9382.81 8887.87i 0.743591 0.704367i
\(543\) −5714.44 2643.78i −0.451621 0.208942i
\(544\) 17484.5 1901.55i 1.37802 0.149868i
\(545\) 8718.41 2937.57i 0.685240 0.230884i
\(546\) 1023.67 + 2569.22i 0.0802364 + 0.201378i
\(547\) −14268.3 13515.7i −1.11530 1.05647i −0.997990 0.0633720i \(-0.979815\pi\)
−0.117309 0.993095i \(-0.537427\pi\)
\(548\) −1772.77 6384.95i −0.138192 0.497722i
\(549\) −3125.91 5896.10i −0.243007 0.458360i
\(550\) −5495.90 + 4177.88i −0.426084 + 0.323900i
\(551\) −480.404 8860.53i −0.0371432 0.685066i
\(552\) 7119.76 + 2398.93i 0.548980 + 0.184973i
\(553\) 21702.9 + 4777.17i 1.66890 + 0.367353i
\(554\) −6899.01 + 13012.9i −0.529081 + 0.997953i
\(555\) −1722.12 10504.5i −0.131711 0.803404i
\(556\) −3483.76 + 4101.39i −0.265727 + 0.312838i
\(557\) −3750.70 4415.67i −0.285318 0.335903i 0.600768 0.799424i \(-0.294862\pi\)
−0.886086 + 0.463521i \(0.846586\pi\)
\(558\) 509.747 3109.32i 0.0386726 0.235892i
\(559\) 214.660 + 163.181i 0.0162418 + 0.0123467i
\(560\) −19614.6 + 28929.4i −1.48013 + 2.18302i
\(561\) −6581.32 + 9706.72i −0.495301 + 0.730514i
\(562\) −2980.91 2266.03i −0.223741 0.170083i
\(563\) 277.305 1691.48i 0.0207584 0.126621i −0.974414 0.224759i \(-0.927840\pi\)
0.995173 + 0.0981383i \(0.0312887\pi\)
\(564\) 2975.48 + 3503.01i 0.222146 + 0.261531i
\(565\) 3384.86 3984.96i 0.252039 0.296723i
\(566\) 2623.29 + 16001.4i 0.194815 + 1.18832i
\(567\) 1231.92 2323.65i 0.0912448 0.172106i
\(568\) 10656.1 + 2345.59i 0.787185 + 0.173273i
\(569\) −1423.32 479.572i −0.104866 0.0353334i 0.266379 0.963868i \(-0.414173\pi\)
−0.371245 + 0.928535i \(0.621069\pi\)
\(570\) −815.891 15048.2i −0.0599543 1.10579i
\(571\) −6241.07 + 4744.34i −0.457409 + 0.347713i −0.808368 0.588678i \(-0.799649\pi\)
0.350959 + 0.936391i \(0.385856\pi\)
\(572\) −530.119 999.910i −0.0387507 0.0730915i
\(573\) 52.1143 + 187.699i 0.00379949 + 0.0136845i
\(574\) −26703.2 25294.6i −1.94176 1.83933i
\(575\) 3637.97 + 9130.63i 0.263850 + 0.662215i
\(576\) −740.982 + 249.666i −0.0536011 + 0.0180603i
\(577\) −18831.1 + 2048.01i −1.35867 + 0.147764i −0.758271 0.651940i \(-0.773955\pi\)
−0.600395 + 0.799704i \(0.704990\pi\)
\(578\) 22070.1 + 10210.7i 1.58823 + 0.734792i
\(579\) 730.868 692.315i 0.0524591 0.0496919i
\(580\) 3623.75 + 2180.34i 0.259427 + 0.156092i
\(581\) −21691.1 2359.05i −1.54888 0.168451i
\(582\) 1167.44 256.974i 0.0831479 0.0183022i
\(583\) 5769.80 20780.9i 0.409881 1.47626i
\(584\) −1890.46 + 1137.45i −0.133951 + 0.0805959i
\(585\) −907.179 + 419.706i −0.0641149 + 0.0296627i
\(586\) −3690.12 + 9261.50i −0.260132 + 0.652882i
\(587\) 865.331 15960.1i 0.0608450 1.12222i −0.795546 0.605893i \(-0.792816\pi\)
0.856391 0.516328i \(-0.172701\pi\)
\(588\) 4598.63 + 6782.47i 0.322524 + 0.475688i
\(589\) 11034.9 0.771963
\(590\) −18530.7 9858.23i −1.29305 0.687893i
\(591\) 14756.3 1.02706
\(592\) 11831.0 + 17449.5i 0.821372 + 1.21143i
\(593\) −490.296 + 9042.97i −0.0339528 + 0.626223i 0.931196 + 0.364520i \(0.118767\pi\)
−0.965148 + 0.261703i \(0.915716\pi\)
\(594\) −1228.19 + 3082.52i −0.0848370 + 0.212925i
\(595\) −43414.4 + 20085.6i −2.99129 + 1.38392i
\(596\) 3278.17 1972.41i 0.225300 0.135559i
\(597\) 3753.03 13517.2i 0.257289 0.926670i
\(598\) −4851.62 + 1067.92i −0.331768 + 0.0730277i
\(599\) −21277.1 2314.02i −1.45135 0.157844i −0.651776 0.758412i \(-0.725976\pi\)
−0.799574 + 0.600568i \(0.794941\pi\)
\(600\) −2066.83 1243.57i −0.140630 0.0846141i
\(601\) 16075.9 15227.9i 1.09110 1.03354i 0.0918099 0.995777i \(-0.470735\pi\)
0.999287 0.0377650i \(-0.0120238\pi\)
\(602\) 3313.65 + 1533.06i 0.224343 + 0.103792i
\(603\) 3666.18 398.721i 0.247593 0.0269273i
\(604\) 9498.85 3200.53i 0.639905 0.215609i
\(605\) −276.083 692.916i −0.0185527 0.0465637i
\(606\) 9942.37 + 9417.91i 0.666470 + 0.631314i
\(607\) 5107.99 + 18397.3i 0.341560 + 1.23019i 0.912459 + 0.409168i \(0.134181\pi\)
−0.570899 + 0.821020i \(0.693405\pi\)
\(608\) 8163.42 + 15397.8i 0.544524 + 1.02708i
\(609\) −6344.31 + 4822.82i −0.422142 + 0.320904i
\(610\) 1859.30 + 34292.9i 0.123412 + 2.27619i
\(611\) 3119.37 + 1051.04i 0.206541 + 0.0695916i
\(612\) 3694.64 + 813.252i 0.244031 + 0.0537153i
\(613\) −32.3353 + 60.9908i −0.00213052 + 0.00401859i −0.884575 0.466398i \(-0.845551\pi\)
0.882444 + 0.470417i \(0.155896\pi\)
\(614\) 469.721 + 2865.17i 0.0308736 + 0.188321i
\(615\) 8606.10 10131.9i 0.564279 0.664321i
\(616\) 10745.5 + 12650.6i 0.702840 + 0.827447i
\(617\) −2412.16 + 14713.5i −0.157391 + 0.960040i 0.783515 + 0.621372i \(0.213425\pi\)
−0.940906 + 0.338668i \(0.890024\pi\)
\(618\) 404.974 + 307.853i 0.0263599 + 0.0200383i
\(619\) 7102.06 10474.8i 0.461157 0.680155i −0.524019 0.851707i \(-0.675568\pi\)
0.985175 + 0.171552i \(0.0548781\pi\)
\(620\) −2951.41 + 4353.00i −0.191180 + 0.281969i
\(621\) 3760.85 + 2858.92i 0.243024 + 0.184742i
\(622\) 2928.06 17860.3i 0.188753 1.15134i
\(623\) 9142.64 + 10763.5i 0.587949 + 0.692187i
\(624\) 1281.61 1508.83i 0.0822203 0.0967972i
\(625\) 3153.33 + 19234.5i 0.201813 + 1.23101i
\(626\) 15838.8 29875.1i 1.01125 1.90742i
\(627\) −11349.4 2498.19i −0.722888 0.159120i
\(628\) −4966.16 1673.30i −0.315560 0.106324i
\(629\) 1562.08 + 28810.8i 0.0990207 + 1.82633i
\(630\) −10774.8 + 8190.81i −0.681396 + 0.517984i
\(631\) 10741.2 + 20260.1i 0.677658 + 1.27820i 0.948866 + 0.315678i \(0.102232\pi\)
−0.271208 + 0.962521i \(0.587423\pi\)
\(632\) −2620.75 9439.09i −0.164949 0.594093i
\(633\) 1378.28 + 1305.57i 0.0865428 + 0.0819777i
\(634\) −4739.29 11894.7i −0.296879 0.745109i
\(635\) −28143.1 + 9482.50i −1.75878 + 0.592601i
\(636\) −6916.38 + 752.201i −0.431214 + 0.0468974i
\(637\) 5326.32 + 2464.22i 0.331298 + 0.153275i
\(638\) 7299.59 6914.53i 0.452968 0.429074i
\(639\) 5878.79 + 3537.15i 0.363946 + 0.218979i
\(640\) 21201.6 + 2305.82i 1.30948 + 0.142415i
\(641\) −10543.3 + 2320.76i −0.649665 + 0.143002i −0.527564 0.849516i \(-0.676894\pi\)
−0.122101 + 0.992518i \(0.538963\pi\)
\(642\) −1991.33 + 7172.11i −0.122416 + 0.440904i
\(643\) 11469.2 6900.77i 0.703422 0.423235i −0.118410 0.992965i \(-0.537780\pi\)
0.821832 + 0.569730i \(0.192952\pi\)
\(644\) −19801.0 + 9160.94i −1.21160 + 0.560546i
\(645\) −488.429 + 1225.87i −0.0298169 + 0.0748347i
\(646\) −2211.53 + 40789.2i −0.134693 + 2.48426i
\(647\) −4299.01 6340.57i −0.261223 0.385276i 0.674348 0.738414i \(-0.264425\pi\)
−0.935571 + 0.353138i \(0.885115\pi\)
\(648\) −1159.37 −0.0702844
\(649\) −11147.7 + 11734.9i −0.674243 + 0.709762i
\(650\) 1594.92 0.0962432
\(651\) −5561.61 8202.77i −0.334834 0.493843i
\(652\) 16.5561 305.360i 0.000994460 0.0183417i
\(653\) 5986.60 15025.2i 0.358765 0.900432i −0.633208 0.773982i \(-0.718262\pi\)
0.991973 0.126451i \(-0.0403585\pi\)
\(654\) −6403.63 + 2962.64i −0.382877 + 0.177138i
\(655\) 13882.1 8352.58i 0.828120 0.498263i
\(656\) −7043.60 + 25368.8i −0.419217 + 1.50988i
\(657\) −1354.85 + 298.224i −0.0804529 + 0.0177090i
\(658\) 44309.9 + 4818.99i 2.62520 + 0.285507i
\(659\) 7438.99 + 4475.89i 0.439730 + 0.264576i 0.718157 0.695881i \(-0.244986\pi\)
−0.278428 + 0.960457i \(0.589813\pi\)
\(660\) 4020.99 3808.88i 0.237146 0.224637i
\(661\) 2726.38 + 1261.36i 0.160429 + 0.0742225i 0.498461 0.866912i \(-0.333899\pi\)
−0.338031 + 0.941135i \(0.609761\pi\)
\(662\) 25747.1 2800.16i 1.51161 0.164398i
\(663\) 2567.55 865.110i 0.150401 0.0506758i
\(664\) 3560.10 + 8935.18i 0.208070 + 0.522217i
\(665\) −34413.2 32597.9i −2.00675 1.90089i
\(666\) 2184.03 + 7866.16i 0.127071 + 0.457669i
\(667\) −6705.17 12647.3i −0.389243 0.734190i
\(668\) 60.6375 46.0954i 0.00351218 0.00266989i
\(669\) 442.269 + 8157.17i 0.0255592 + 0.471411i
\(670\) −17984.8 6059.77i −1.03703 0.349417i
\(671\) 25863.7 + 5693.03i 1.48801 + 0.327536i
\(672\) 7331.55 13828.8i 0.420864 0.793834i
\(673\) −1860.45 11348.2i −0.106560 0.649988i −0.985056 0.172237i \(-0.944900\pi\)
0.878495 0.477751i \(-0.158548\pi\)
\(674\) 18317.8 21565.3i 1.04684 1.23244i
\(675\) −981.895 1155.98i −0.0559898 0.0659163i
\(676\) 1322.71 8068.15i 0.0752563 0.459043i
\(677\) 12640.2 + 9608.83i 0.717581 + 0.545491i 0.899018 0.437912i \(-0.144282\pi\)
−0.181437 + 0.983403i \(0.558075\pi\)
\(678\) −2250.30 + 3318.94i −0.127466 + 0.187999i
\(679\) 2110.02 3112.05i 0.119256 0.175890i
\(680\) 16787.2 + 12761.3i 0.946705 + 0.719666i
\(681\) 1607.58 9805.83i 0.0904593 0.551777i
\(682\) 8094.69 + 9529.80i 0.454489 + 0.535066i
\(683\) 2957.98 3482.40i 0.165716 0.195096i −0.673036 0.739610i \(-0.735010\pi\)
0.838752 + 0.544514i \(0.183286\pi\)
\(684\) 606.481 + 3699.37i 0.0339026 + 0.206797i
\(685\) 10878.8 20519.7i 0.606801 1.14455i
\(686\) 40181.9 + 8844.70i 2.23637 + 0.492263i
\(687\) 10057.8 + 3388.86i 0.558556 + 0.188199i
\(688\) −141.491 2609.65i −0.00784056 0.144611i
\(689\) −3966.61 + 3015.34i −0.219326 + 0.166728i
\(690\) −11387.7 21479.4i −0.628292 1.18508i
\(691\) 8159.05 + 29386.3i 0.449182 + 1.61781i 0.748139 + 0.663542i \(0.230948\pi\)
−0.298957 + 0.954267i \(0.596639\pi\)
\(692\) −933.557 884.313i −0.0512840 0.0485788i
\(693\) 3863.08 + 9695.60i 0.211755 + 0.531465i
\(694\) −20768.1 + 6997.60i −1.13595 + 0.382745i
\(695\) −18750.2 + 2039.20i −1.02336 + 0.111297i
\(696\) 3188.36 + 1475.09i 0.173641 + 0.0803351i
\(697\) −26160.0 + 24780.0i −1.42163 + 1.34664i
\(698\) −5266.49 3168.74i −0.285587 0.171832i
\(699\) 7329.11 + 797.089i 0.396584 + 0.0431311i
\(700\) 6840.86 1505.79i 0.369372 0.0813049i
\(701\) 6686.88 24084.0i 0.360285 1.29763i −0.532225 0.846603i \(-0.678644\pi\)
0.892510 0.451027i \(-0.148942\pi\)
\(702\) 656.863 395.221i 0.0353158 0.0212488i
\(703\) −25948.7 + 12005.2i −1.39214 + 0.644073i
\(704\) 1148.51 2882.54i 0.0614859 0.154318i
\(705\) −872.122 + 16085.3i −0.0465901 + 0.859304i
\(706\) −25291.5 37302.2i −1.34824 1.98851i
\(707\) 43074.9 2.29137
\(708\) 4847.65 + 1939.49i 0.257325 + 0.102953i
\(709\) −15091.4 −0.799392 −0.399696 0.916648i \(-0.630884\pi\)
−0.399696 + 0.916648i \(0.630884\pi\)
\(710\) −19814.2 29223.7i −1.04734 1.54471i
\(711\) 333.481 6150.70i 0.0175900 0.324429i
\(712\) 2304.28 5783.31i 0.121287 0.304408i
\(713\) 16156.2 7474.67i 0.848605 0.392607i
\(714\) 31435.1 18913.9i 1.64766 0.991364i
\(715\) 1061.19 3822.05i 0.0555051 0.199911i
\(716\) 16234.6 3573.50i 0.847366 0.186519i
\(717\) −10480.7 1139.84i −0.545896 0.0593698i
\(718\) 15684.7 + 9437.15i 0.815246 + 0.490517i
\(719\) 2586.82 2450.36i 0.134175 0.127097i −0.617669 0.786438i \(-0.711923\pi\)
0.751845 + 0.659340i \(0.229164\pi\)
\(720\) 8792.76 + 4067.96i 0.455121 + 0.210561i
\(721\) 1590.67 172.995i 0.0821629 0.00893576i
\(722\) −15993.3 + 5388.76i −0.824388 + 0.277769i
\(723\) −6686.35 16781.5i −0.343939 0.863222i
\(724\) −5851.65 5542.97i −0.300379 0.284535i
\(725\) 1229.52 + 4428.32i 0.0629836 + 0.226846i
\(726\) 267.951 + 505.410i 0.0136978 + 0.0258368i
\(727\) −3195.04 + 2428.81i −0.162995 + 0.123906i −0.683492 0.729958i \(-0.739540\pi\)
0.520497 + 0.853863i \(0.325747\pi\)
\(728\) −207.605 3829.05i −0.0105692 0.194937i
\(729\) −690.839 232.771i −0.0350983 0.0118260i
\(730\) 6972.34 + 1534.73i 0.353504 + 0.0778121i
\(731\) 1675.42 3160.17i 0.0847708 0.159895i
\(732\) −1382.09 8430.36i −0.0697861 0.425676i
\(733\) −18756.0 + 22081.3i −0.945114 + 1.11267i 0.0483849 + 0.998829i \(0.484593\pi\)
−0.993499 + 0.113845i \(0.963683\pi\)
\(734\) 12930.9 + 15223.5i 0.650259 + 0.765544i
\(735\) −4646.49 + 28342.3i −0.233181 + 1.42234i
\(736\) 22382.0 + 17014.4i 1.12094 + 0.852116i
\(737\) −8212.71 + 12112.8i −0.410474 + 0.605404i
\(738\) −5721.45 + 8438.51i −0.285379 + 0.420902i
\(739\) −4430.46 3367.95i −0.220537 0.167648i 0.489072 0.872243i \(-0.337336\pi\)
−0.709609 + 0.704595i \(0.751129\pi\)
\(740\) 2204.53 13447.0i 0.109514 0.668004i
\(741\) 1738.10 + 2046.25i 0.0861683 + 0.101445i
\(742\) −43677.3 + 51420.9i −2.16097 + 2.54410i
\(743\) −1398.14 8528.28i −0.0690347 0.421093i −0.998621 0.0524897i \(-0.983284\pi\)
0.929587 0.368603i \(-0.120164\pi\)
\(744\) −2046.36 + 3859.84i −0.100838 + 0.190200i
\(745\) 13095.5 + 2882.54i 0.644003 + 0.141756i
\(746\) −40115.9 13516.6i −1.96883 0.663376i
\(747\) 327.427 + 6039.03i 0.0160374 + 0.295792i
\(748\) −11951.5 + 9085.29i −0.584211 + 0.444106i
\(749\) 10966.5 + 20684.9i 0.534987 + 1.00909i
\(750\) −2558.43 9214.62i −0.124561 0.448627i
\(751\) −3635.34 3443.58i −0.176639 0.167321i 0.594272 0.804264i \(-0.297440\pi\)
−0.770911 + 0.636943i \(0.780199\pi\)
\(752\) −11809.0 29638.4i −0.572647 1.43724i
\(753\) 2544.41 857.312i 0.123139 0.0414903i
\(754\) −2309.28 + 251.149i −0.111537 + 0.0121304i
\(755\) 31884.4 + 14751.3i 1.53694 + 0.711065i
\(756\) 2444.25 2315.31i 0.117588 0.111385i
\(757\) −7160.31 4308.22i −0.343786 0.206849i 0.333180 0.942863i \(-0.391878\pi\)
−0.676966 + 0.736014i \(0.736706\pi\)
\(758\) 15549.5 + 1691.11i 0.745097 + 0.0810342i
\(759\) −18308.8 + 4030.07i −0.875583 + 0.192730i
\(760\) −5590.17 + 20134.0i −0.266811 + 0.960968i
\(761\) −34958.1 + 21033.6i −1.66522 + 1.00193i −0.710824 + 0.703370i \(0.751678\pi\)
−0.954392 + 0.298557i \(0.903495\pi\)
\(762\) 20671.0 9563.40i 0.982716 0.454653i
\(763\) −8214.41 + 20616.6i −0.389753 + 0.978206i
\(764\) −13.5005 + 249.002i −0.000639307 + 0.0117913i
\(765\) 7440.94 + 10974.6i 0.351670 + 0.518675i
\(766\) 12480.1 0.588674
\(767\) 3690.96 599.703i 0.173759 0.0282321i
\(768\) −14271.0 −0.670519
\(769\) −11563.5 17054.9i −0.542251 0.799760i 0.453557 0.891227i \(-0.350155\pi\)
−0.995808 + 0.0914668i \(0.970844\pi\)
\(770\) 2907.82 53631.7i 0.136092 2.51007i
\(771\) −3708.78 + 9308.33i