Properties

Label 177.4.f.a.2.4
Level $177$
Weight $4$
Character 177.2
Analytic conductor $10.443$
Analytic rank $0$
Dimension $1624$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(1624\)
Relative dimension: \(58\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 2.4
Character \(\chi\) \(=\) 177.2
Dual form 177.4.f.a.89.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.281900 + 5.19934i) q^{2} +(-5.12170 + 0.876440i) q^{3} +(-19.0005 - 2.06643i) q^{4} +(2.67889 - 7.95067i) q^{5} +(-3.11310 - 26.8765i) q^{6} +(1.88189 + 2.77557i) q^{7} +(9.36119 - 57.1007i) q^{8} +(25.4637 - 8.97773i) q^{9} +O(q^{10})\) \(q+(-0.281900 + 5.19934i) q^{2} +(-5.12170 + 0.876440i) q^{3} +(-19.0005 - 2.06643i) q^{4} +(2.67889 - 7.95067i) q^{5} +(-3.11310 - 26.8765i) q^{6} +(1.88189 + 2.77557i) q^{7} +(9.36119 - 57.1007i) q^{8} +(25.4637 - 8.97773i) q^{9} +(40.5830 + 16.1698i) q^{10} +(-16.4146 + 3.61312i) q^{11} +(99.1263 - 6.06917i) q^{12} +(17.9772 - 15.2700i) q^{13} +(-14.9617 + 9.00213i) q^{14} +(-6.75221 + 43.0689i) q^{15} +(144.921 + 31.8995i) q^{16} +(-10.8155 - 7.33310i) q^{17} +(39.5000 + 134.925i) q^{18} +(13.4617 - 25.3916i) q^{19} +(-67.3300 + 145.531i) q^{20} +(-12.0711 - 12.5663i) q^{21} +(-14.1586 - 86.3633i) q^{22} +(15.5017 - 14.6840i) q^{23} +(2.10012 + 300.657i) q^{24} +(43.4750 + 33.0488i) q^{25} +(74.3261 + 97.7743i) q^{26} +(-122.549 + 68.2987i) q^{27} +(-30.0213 - 56.6262i) q^{28} +(-137.368 + 7.44789i) q^{29} +(-222.026 - 47.2481i) q^{30} +(291.813 - 154.709i) q^{31} +(-82.8698 + 298.470i) q^{32} +(80.9038 - 32.8917i) q^{33} +(41.1762 - 54.1663i) q^{34} +(27.1090 - 7.52679i) q^{35} +(-502.376 + 117.963i) q^{36} +(124.838 - 20.4662i) q^{37} +(128.224 + 77.1501i) q^{38} +(-78.6908 + 93.9644i) q^{39} +(-428.911 - 227.394i) q^{40} +(292.349 - 308.629i) q^{41} +(68.7393 - 59.2192i) q^{42} +(-68.4907 + 311.156i) q^{43} +(319.352 - 34.7316i) q^{44} +(-3.16445 - 226.504i) q^{45} +(71.9770 + 84.7379i) q^{46} +(-415.052 + 139.847i) q^{47} +(-770.201 - 36.3654i) q^{48} +(122.795 - 308.192i) q^{49} +(-184.088 + 216.725i) q^{50} +(61.8209 + 28.0788i) q^{51} +(-373.132 + 252.990i) q^{52} +(341.047 - 135.886i) q^{53} +(-320.561 - 656.428i) q^{54} +(-15.2461 + 140.186i) q^{55} +(176.104 - 81.4743i) q^{56} +(-46.6929 + 141.846i) q^{57} -716.324i q^{58} +(178.691 + 416.472i) q^{59} +(217.295 - 804.379i) q^{60} +(685.953 + 37.1913i) q^{61} +(722.124 + 1560.85i) q^{62} +(72.8381 + 53.7813i) q^{63} +(-403.505 - 135.957i) q^{64} +(-73.2476 - 183.838i) q^{65} +(148.208 + 429.918i) q^{66} +(862.884 + 141.463i) q^{67} +(190.347 + 161.682i) q^{68} +(-66.5254 + 88.7933i) q^{69} +(31.4923 + 143.071i) q^{70} +(-135.678 - 402.678i) q^{71} +(-274.264 - 1538.04i) q^{72} +(-308.947 - 513.473i) q^{73} +(71.2188 + 654.846i) q^{74} +(-251.631 - 131.163i) q^{75} +(-308.251 + 454.636i) q^{76} +(-40.9188 - 38.7603i) q^{77} +(-466.370 - 435.629i) q^{78} +(-231.427 - 107.070i) q^{79} +(641.850 - 1066.76i) q^{80} +(567.801 - 457.213i) q^{81} +(1522.25 + 1607.02i) q^{82} +(-185.083 - 666.609i) q^{83} +(203.390 + 263.711i) q^{84} +(-87.2766 + 66.3460i) q^{85} +(-1598.50 - 443.821i) q^{86} +(697.032 - 158.541i) q^{87} +(52.6518 + 971.106i) q^{88} +(-55.8604 - 1030.29i) q^{89} +(1178.56 + 47.3984i) q^{90} +(76.2141 + 21.1607i) q^{91} +(-324.884 + 246.970i) q^{92} +(-1358.99 + 1048.13i) q^{93} +(-610.110 - 2197.42i) q^{94} +(-165.817 - 175.051i) q^{95} +(162.844 - 1601.31i) q^{96} +(162.774 - 270.533i) q^{97} +(1567.78 + 725.333i) q^{98} +(-385.538 + 239.369i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} + O(q^{10}) \) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} - 58q^{10} - 57q^{12} - 58q^{13} - 11q^{15} - 926q^{16} - 29q^{18} + 126q^{19} + 159q^{21} + 2q^{22} - 29q^{24} + 656q^{25} - 99q^{27} - 54q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 859q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} + 1703q^{45} + 602q^{46} + 9507q^{48} - 1192q^{49} + 1511q^{51} - 58q^{52} - 7743q^{54} - 58q^{55} - 7441q^{57} - 18722q^{60} - 58q^{61} - 3251q^{63} - 4634q^{64} - 1751q^{66} - 58q^{67} + 6003q^{69} - 58q^{70} + 21547q^{72} - 58q^{73} + 3869q^{75} + 5622q^{76} - 3253q^{78} + 1446q^{79} + 247q^{81} - 58q^{82} + 3303q^{84} + 790q^{85} - 2199q^{87} - 5818q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 946q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.281900 + 5.19934i −0.0996667 + 1.83824i 0.340402 + 0.940280i \(0.389437\pi\)
−0.440069 + 0.897964i \(0.645046\pi\)
\(3\) −5.12170 + 0.876440i −0.985672 + 0.168671i
\(4\) −19.0005 2.06643i −2.37507 0.258304i
\(5\) 2.67889 7.95067i 0.239607 0.711129i −0.758615 0.651539i \(-0.774124\pi\)
0.998223 0.0595908i \(-0.0189796\pi\)
\(6\) −3.11310 26.8765i −0.211820 1.82872i
\(7\) 1.88189 + 2.77557i 0.101612 + 0.149867i 0.875096 0.483949i \(-0.160798\pi\)
−0.773484 + 0.633816i \(0.781488\pi\)
\(8\) 9.36119 57.1007i 0.413710 2.52352i
\(9\) 25.4637 8.97773i 0.943100 0.332509i
\(10\) 40.5830 + 16.1698i 1.28335 + 0.511333i
\(11\) −16.4146 + 3.61312i −0.449925 + 0.0990359i −0.434152 0.900840i \(-0.642952\pi\)
−0.0157729 + 0.999876i \(0.505021\pi\)
\(12\) 99.1263 6.06917i 2.38461 0.146002i
\(13\) 17.9772 15.2700i 0.383537 0.325780i −0.434790 0.900532i \(-0.643177\pi\)
0.818328 + 0.574752i \(0.194902\pi\)
\(14\) −14.9617 + 9.00213i −0.285619 + 0.171851i
\(15\) −6.75221 + 43.0689i −0.116228 + 0.741355i
\(16\) 144.921 + 31.8995i 2.26439 + 0.498430i
\(17\) −10.8155 7.33310i −0.154303 0.104620i 0.481592 0.876395i \(-0.340059\pi\)
−0.635895 + 0.771775i \(0.719369\pi\)
\(18\) 39.5000 + 134.925i 0.517236 + 1.76679i
\(19\) 13.4617 25.3916i 0.162544 0.306591i −0.788840 0.614599i \(-0.789318\pi\)
0.951384 + 0.308009i \(0.0996626\pi\)
\(20\) −67.3300 + 145.531i −0.752772 + 1.62709i
\(21\) −12.0711 12.5663i −0.125435 0.130581i
\(22\) −14.1586 86.3633i −0.137210 0.836942i
\(23\) 15.5017 14.6840i 0.140536 0.133123i −0.614203 0.789148i \(-0.710522\pi\)
0.754739 + 0.656026i \(0.227764\pi\)
\(24\) 2.10012 + 300.657i 0.0178618 + 2.55714i
\(25\) 43.4750 + 33.0488i 0.347800 + 0.264390i
\(26\) 74.3261 + 97.7743i 0.560636 + 0.737505i
\(27\) −122.549 + 68.2987i −0.873503 + 0.486818i
\(28\) −30.0213 56.6262i −0.202625 0.382191i
\(29\) −137.368 + 7.44789i −0.879609 + 0.0476910i −0.488409 0.872615i \(-0.662423\pi\)
−0.391200 + 0.920306i \(0.627940\pi\)
\(30\) −222.026 47.2481i −1.35121 0.287543i
\(31\) 291.813 154.709i 1.69068 0.896343i 0.709146 0.705061i \(-0.249081\pi\)
0.981535 0.191281i \(-0.0612642\pi\)
\(32\) −82.8698 + 298.470i −0.457795 + 1.64883i
\(33\) 80.9038 32.8917i 0.426774 0.173506i
\(34\) 41.1762 54.1663i 0.207696 0.273219i
\(35\) 27.1090 7.52679i 0.130922 0.0363503i
\(36\) −502.376 + 117.963i −2.32582 + 0.546124i
\(37\) 124.838 20.4662i 0.554683 0.0909357i 0.122080 0.992520i \(-0.461043\pi\)
0.432603 + 0.901585i \(0.357595\pi\)
\(38\) 128.224 + 77.1501i 0.547388 + 0.329352i
\(39\) −78.6908 + 93.9644i −0.323093 + 0.385804i
\(40\) −428.911 227.394i −1.69542 0.898855i
\(41\) 292.349 308.629i 1.11359 1.17560i 0.130698 0.991422i \(-0.458278\pi\)
0.982892 0.184181i \(-0.0589631\pi\)
\(42\) 68.7393 59.2192i 0.252541 0.217565i
\(43\) −68.4907 + 311.156i −0.242901 + 1.10351i 0.684375 + 0.729130i \(0.260075\pi\)
−0.927276 + 0.374379i \(0.877856\pi\)
\(44\) 319.352 34.7316i 1.09418 0.119000i
\(45\) −3.16445 226.504i −0.0104828 0.750338i
\(46\) 71.9770 + 84.7379i 0.230705 + 0.271607i
\(47\) −415.052 + 139.847i −1.28812 + 0.434018i −0.878283 0.478142i \(-0.841311\pi\)
−0.409836 + 0.912159i \(0.634414\pi\)
\(48\) −770.201 36.3654i −2.31602 0.109352i
\(49\) 122.795 308.192i 0.358003 0.898520i
\(50\) −184.088 + 216.725i −0.520678 + 0.612990i
\(51\) 61.8209 + 28.0788i 0.169738 + 0.0770945i
\(52\) −373.132 + 252.990i −0.995078 + 0.674680i
\(53\) 341.047 135.886i 0.883895 0.352176i 0.116379 0.993205i \(-0.462871\pi\)
0.767517 + 0.641029i \(0.221492\pi\)
\(54\) −320.561 656.428i −0.807831 1.65423i
\(55\) −15.2461 + 140.186i −0.0373779 + 0.343685i
\(56\) 176.104 81.4743i 0.420230 0.194419i
\(57\) −46.6929 + 141.846i −0.108502 + 0.329614i
\(58\) 716.324i 1.62169i
\(59\) 178.691 + 416.472i 0.394298 + 0.918983i
\(60\) 217.295 804.379i 0.467544 1.73075i
\(61\) 685.953 + 37.1913i 1.43979 + 0.0780632i 0.757413 0.652936i \(-0.226463\pi\)
0.682378 + 0.730999i \(0.260946\pi\)
\(62\) 722.124 + 1560.85i 1.47919 + 3.19722i
\(63\) 72.8381 + 53.7813i 0.145663 + 0.107553i
\(64\) −403.505 135.957i −0.788097 0.265541i
\(65\) −73.2476 183.838i −0.139773 0.350804i
\(66\) 148.208 + 429.918i 0.276412 + 0.801807i
\(67\) 862.884 + 141.463i 1.57340 + 0.257946i 0.884371 0.466784i \(-0.154588\pi\)
0.689032 + 0.724731i \(0.258036\pi\)
\(68\) 190.347 + 161.682i 0.339456 + 0.288336i
\(69\) −66.5254 + 88.7933i −0.116068 + 0.154920i
\(70\) 31.4923 + 143.071i 0.0537721 + 0.244289i
\(71\) −135.678 402.678i −0.226789 0.673086i −0.999276 0.0380548i \(-0.987884\pi\)
0.772487 0.635031i \(-0.219013\pi\)
\(72\) −274.264 1538.04i −0.448922 2.51749i
\(73\) −308.947 513.473i −0.495335 0.823254i 0.503843 0.863796i \(-0.331919\pi\)
−0.999178 + 0.0405418i \(0.987092\pi\)
\(74\) 71.2188 + 654.846i 0.111879 + 1.02871i
\(75\) −251.631 131.163i −0.387412 0.201939i
\(76\) −308.251 + 454.636i −0.465247 + 0.686188i
\(77\) −40.9188 38.7603i −0.0605601 0.0573656i
\(78\) −466.370 435.629i −0.677000 0.632375i
\(79\) −231.427 107.070i −0.329590 0.152485i 0.248114 0.968731i \(-0.420189\pi\)
−0.577704 + 0.816246i \(0.696051\pi\)
\(80\) 641.850 1066.76i 0.897013 1.49085i
\(81\) 567.801 457.213i 0.778876 0.627178i
\(82\) 1522.25 + 1607.02i 2.05006 + 2.16422i
\(83\) −185.083 666.609i −0.244765 0.881565i −0.979202 0.202888i \(-0.934967\pi\)
0.734437 0.678677i \(-0.237446\pi\)
\(84\) 203.390 + 263.711i 0.264186 + 0.342538i
\(85\) −87.2766 + 66.3460i −0.111370 + 0.0846615i
\(86\) −1598.50 443.821i −2.00431 0.556494i
\(87\) 697.032 158.541i 0.858962 0.195372i
\(88\) 52.6518 + 971.106i 0.0637807 + 1.17637i
\(89\) −55.8604 1030.29i −0.0665303 1.22708i −0.821071 0.570826i \(-0.806623\pi\)
0.754541 0.656253i \(-0.227860\pi\)
\(90\) 1178.56 + 47.3984i 1.38035 + 0.0555137i
\(91\) 76.2141 + 21.1607i 0.0877957 + 0.0243764i
\(92\) −324.884 + 246.970i −0.368168 + 0.279874i
\(93\) −1358.99 + 1048.13i −1.51527 + 1.16867i
\(94\) −610.110 2197.42i −0.669448 2.41113i
\(95\) −165.817 175.051i −0.179079 0.189051i
\(96\) 162.844 1601.31i 0.173127 1.70242i
\(97\) 162.774 270.533i 0.170384 0.283180i −0.759886 0.650056i \(-0.774745\pi\)
0.930270 + 0.366876i \(0.119573\pi\)
\(98\) 1567.78 + 725.333i 1.61602 + 0.747649i
\(99\) −385.538 + 239.369i −0.391394 + 0.243005i
\(100\) −757.755 717.784i −0.757755 0.717784i
\(101\) 113.712 167.712i 0.112027 0.165228i −0.767542 0.640999i \(-0.778520\pi\)
0.879569 + 0.475771i \(0.157831\pi\)
\(102\) −163.419 + 313.512i −0.158636 + 0.304337i
\(103\) −135.853 1249.15i −0.129961 1.19497i −0.859537 0.511074i \(-0.829248\pi\)
0.729575 0.683900i \(-0.239718\pi\)
\(104\) −703.639 1169.46i −0.663438 1.10264i
\(105\) −132.248 + 62.3094i −0.122915 + 0.0579122i
\(106\) 610.374 + 1811.53i 0.559291 + 1.65992i
\(107\) −12.9355 58.7666i −0.0116871 0.0530952i 0.970416 0.241439i \(-0.0776192\pi\)
−0.982103 + 0.188343i \(0.939688\pi\)
\(108\) 2469.64 1044.47i 2.20038 0.930597i
\(109\) −227.024 192.836i −0.199495 0.169453i 0.542070 0.840333i \(-0.317641\pi\)
−0.741566 + 0.670880i \(0.765916\pi\)
\(110\) −724.576 118.788i −0.628051 0.102964i
\(111\) −621.447 + 214.235i −0.531398 + 0.183192i
\(112\) 184.185 + 462.270i 0.155392 + 0.390004i
\(113\) −1784.62 601.307i −1.48569 0.500586i −0.544584 0.838706i \(-0.683312\pi\)
−0.941103 + 0.338120i \(0.890209\pi\)
\(114\) −724.345 282.759i −0.595097 0.232305i
\(115\) −75.2201 162.586i −0.0609940 0.131836i
\(116\) 2625.46 + 142.349i 2.10145 + 0.113937i
\(117\) 320.677 550.226i 0.253390 0.434772i
\(118\) −2215.75 + 811.671i −1.72861 + 0.633223i
\(119\) 43.8193i 0.0337555i
\(120\) 2396.05 + 788.732i 1.82274 + 0.600008i
\(121\) −951.600 + 440.257i −0.714951 + 0.330772i
\(122\) −386.740 + 3556.02i −0.286998 + 2.63891i
\(123\) −1226.83 + 1836.93i −0.899345 + 1.34659i
\(124\) −5864.30 + 2336.55i −4.24701 + 1.69216i
\(125\) 1247.25 845.655i 0.892458 0.605102i
\(126\) −300.160 + 363.549i −0.212226 + 0.257044i
\(127\) −558.973 + 658.074i −0.390558 + 0.459800i −0.921940 0.387332i \(-0.873397\pi\)
0.531382 + 0.847132i \(0.321673\pi\)
\(128\) −96.6007 + 242.449i −0.0667061 + 0.167420i
\(129\) 78.0792 1653.68i 0.0532906 1.12867i
\(130\) 976.483 329.015i 0.658794 0.221974i
\(131\) 102.282 + 120.416i 0.0682172 + 0.0803115i 0.795212 0.606331i \(-0.207359\pi\)
−0.726995 + 0.686643i \(0.759084\pi\)
\(132\) −1605.18 + 457.778i −1.05843 + 0.301852i
\(133\) 95.8096 10.4199i 0.0624643 0.00679340i
\(134\) −978.759 + 4446.55i −0.630984 + 2.86659i
\(135\) 214.724 + 1157.31i 0.136893 + 0.737819i
\(136\) −519.971 + 548.927i −0.327847 + 0.346104i
\(137\) 914.613 + 484.897i 0.570370 + 0.302391i 0.728520 0.685024i \(-0.240208\pi\)
−0.158151 + 0.987415i \(0.550553\pi\)
\(138\) −442.913 370.919i −0.273212 0.228802i
\(139\) −254.110 152.893i −0.155060 0.0932965i 0.435909 0.899991i \(-0.356427\pi\)
−0.590969 + 0.806694i \(0.701255\pi\)
\(140\) −530.640 + 86.9941i −0.320338 + 0.0525167i
\(141\) 2003.21 1080.02i 1.19646 0.645067i
\(142\) 2131.91 591.921i 1.25990 0.349809i
\(143\) −239.916 + 315.604i −0.140299 + 0.184560i
\(144\) 3976.61 488.782i 2.30128 0.282860i
\(145\) −308.779 + 1112.12i −0.176846 + 0.636943i
\(146\) 2756.81 1461.57i 1.56271 0.828496i
\(147\) −358.808 + 1686.09i −0.201320 + 0.946031i
\(148\) −2414.29 + 130.899i −1.34090 + 0.0727015i
\(149\) −899.799 1697.20i −0.494728 0.933155i −0.997630 0.0688119i \(-0.978079\pi\)
0.502902 0.864343i \(-0.332266\pi\)
\(150\) 752.896 1271.34i 0.409825 0.692030i
\(151\) −623.770 820.556i −0.336170 0.442224i 0.596685 0.802475i \(-0.296484\pi\)
−0.932855 + 0.360251i \(0.882691\pi\)
\(152\) −1323.86 1006.37i −0.706441 0.537022i
\(153\) −341.238 89.6291i −0.180310 0.0473600i
\(154\) 213.063 201.824i 0.111488 0.105607i
\(155\) −448.308 2734.56i −0.232316 1.41706i
\(156\) 1689.34 1622.77i 0.867022 0.832854i
\(157\) −389.701 + 842.326i −0.198099 + 0.428184i −0.981012 0.193947i \(-0.937871\pi\)
0.782913 + 0.622131i \(0.213733\pi\)
\(158\) 621.931 1173.09i 0.313153 0.590669i
\(159\) −1627.65 + 994.874i −0.811829 + 0.496218i
\(160\) 2151.04 + 1458.44i 1.06284 + 0.720623i
\(161\) 69.9289 + 15.3925i 0.0342308 + 0.00753478i
\(162\) 2217.14 + 3081.08i 1.07528 + 1.49427i
\(163\) 2705.98 1628.13i 1.30030 0.782363i 0.314332 0.949313i \(-0.398220\pi\)
0.985965 + 0.166951i \(0.0533921\pi\)
\(164\) −6192.55 + 5260.00i −2.94852 + 2.50449i
\(165\) −44.7783 731.353i −0.0211272 0.345065i
\(166\) 3518.10 774.393i 1.64493 0.362075i
\(167\) 3927.45 + 1564.84i 1.81985 + 0.725096i 0.984501 + 0.175381i \(0.0561159\pi\)
0.835353 + 0.549714i \(0.185263\pi\)
\(168\) −830.545 + 571.632i −0.381416 + 0.262514i
\(169\) −265.427 + 1619.03i −0.120813 + 0.736929i
\(170\) −320.352 472.484i −0.144529 0.213164i
\(171\) 114.827 767.419i 0.0513513 0.343193i
\(172\) 1944.35 5770.61i 0.861947 2.55817i
\(173\) −122.125 13.2819i −0.0536706 0.00583703i 0.0812443 0.996694i \(-0.474111\pi\)
−0.134915 + 0.990857i \(0.543076\pi\)
\(174\) 627.815 + 3668.80i 0.273532 + 1.59845i
\(175\) −9.91449 + 182.862i −0.00428266 + 0.0789890i
\(176\) −2494.07 −1.06817
\(177\) −1280.21 1976.43i −0.543654 0.839309i
\(178\) 5372.55 2.26230
\(179\) −58.3463 + 1076.13i −0.0243632 + 0.449352i 0.960747 + 0.277427i \(0.0894816\pi\)
−0.985110 + 0.171926i \(0.945001\pi\)
\(180\) −407.929 + 4310.24i −0.168918 + 1.78481i
\(181\) −1051.12 114.316i −0.431651 0.0469449i −0.110285 0.993900i \(-0.535176\pi\)
−0.321366 + 0.946955i \(0.604142\pi\)
\(182\) −131.507 + 390.298i −0.0535600 + 0.158960i
\(183\) −3545.84 + 410.714i −1.43233 + 0.165906i
\(184\) −693.351 1022.62i −0.277796 0.409719i
\(185\) 171.708 1047.37i 0.0682392 0.416241i
\(186\) −5066.49 7361.29i −1.99728 2.90192i
\(187\) 204.027 + 81.2918i 0.0797858 + 0.0317896i
\(188\) 8175.20 1799.50i 3.17148 0.698095i
\(189\) −420.192 211.614i −0.161717 0.0814425i
\(190\) 956.894 812.793i 0.365370 0.310348i
\(191\) −4127.20 + 2483.26i −1.56353 + 0.940744i −0.570705 + 0.821155i \(0.693330\pi\)
−0.992824 + 0.119589i \(0.961842\pi\)
\(192\) 2185.79 + 342.682i 0.821594 + 0.128807i
\(193\) 1611.90 + 354.806i 0.601177 + 0.132329i 0.505124 0.863047i \(-0.331447\pi\)
0.0960537 + 0.995376i \(0.469378\pi\)
\(194\) 1360.71 + 922.582i 0.503572 + 0.341431i
\(195\) 536.275 + 877.365i 0.196941 + 0.322202i
\(196\) −2970.03 + 5602.08i −1.08237 + 2.04157i
\(197\) −286.469 + 619.193i −0.103605 + 0.223937i −0.952444 0.304713i \(-0.901440\pi\)
0.848840 + 0.528650i \(0.177302\pi\)
\(198\) −1135.88 2072.02i −0.407693 0.743697i
\(199\) −291.810 1779.96i −0.103949 0.634062i −0.986489 0.163825i \(-0.947617\pi\)
0.882540 0.470237i \(-0.155831\pi\)
\(200\) 2294.09 2173.07i 0.811082 0.768298i
\(201\) −4543.42 + 31.7361i −1.59437 + 0.0111368i
\(202\) 839.938 + 638.505i 0.292564 + 0.222401i
\(203\) −279.184 367.260i −0.0965264 0.126978i
\(204\) −1116.61 661.262i −0.383226 0.226949i
\(205\) −1670.63 3151.15i −0.569181 1.07359i
\(206\) 6533.05 354.212i 2.20961 0.119801i
\(207\) 262.902 513.078i 0.0882750 0.172277i
\(208\) 3092.38 1639.48i 1.03086 0.546526i
\(209\) −129.226 + 465.430i −0.0427691 + 0.154040i
\(210\) −286.687 705.166i −0.0942062 0.231719i
\(211\) 1706.50 2244.86i 0.556778 0.732429i −0.428471 0.903555i \(-0.640948\pi\)
0.985249 + 0.171127i \(0.0547408\pi\)
\(212\) −6760.89 + 1877.15i −2.19028 + 0.608128i
\(213\) 1047.83 + 1943.48i 0.337070 + 0.625189i
\(214\) 309.194 50.6898i 0.0987666 0.0161920i
\(215\) 2290.42 + 1378.10i 0.726537 + 0.437143i
\(216\) 2752.70 + 7637.00i 0.867118 + 2.40570i
\(217\) 978.566 + 518.803i 0.306126 + 0.162298i
\(218\) 1066.62 1126.02i 0.331378 0.349832i
\(219\) 2032.36 + 2359.09i 0.627097 + 0.727910i
\(220\) 579.369 2632.10i 0.177550 0.806619i
\(221\) −306.409 + 33.3240i −0.0932639 + 0.0101431i
\(222\) −938.694 3291.51i −0.283788 0.995097i
\(223\) 4287.97 + 5048.18i 1.28764 + 1.51593i 0.723715 + 0.690099i \(0.242433\pi\)
0.563924 + 0.825826i \(0.309291\pi\)
\(224\) −984.377 + 331.675i −0.293623 + 0.0989330i
\(225\) 1403.74 + 451.239i 0.415922 + 0.133700i
\(226\) 3629.48 9109.32i 1.06827 2.68116i
\(227\) −3764.47 + 4431.88i −1.10069 + 1.29583i −0.148977 + 0.988841i \(0.547598\pi\)
−0.951712 + 0.306992i \(0.900678\pi\)
\(228\) 1180.31 2598.67i 0.342841 0.754830i
\(229\) 953.485 646.479i 0.275144 0.186553i −0.415809 0.909452i \(-0.636501\pi\)
0.690953 + 0.722900i \(0.257191\pi\)
\(230\) 866.542 345.262i 0.248426 0.0989821i
\(231\) 243.545 + 162.656i 0.0693683 + 0.0463289i
\(232\) −860.650 + 7913.55i −0.243554 + 2.23944i
\(233\) 3495.31 1617.10i 0.982770 0.454678i 0.138364 0.990381i \(-0.455816\pi\)
0.844406 + 0.535704i \(0.179954\pi\)
\(234\) 2770.41 + 1822.42i 0.773963 + 0.509124i
\(235\) 3674.58i 1.02001i
\(236\) −2534.61 8282.44i −0.699107 2.28450i
\(237\) 1279.14 + 345.547i 0.350587 + 0.0947076i
\(238\) 227.831 + 12.3527i 0.0620509 + 0.00336430i
\(239\) 766.035 + 1655.76i 0.207325 + 0.448126i 0.983145 0.182829i \(-0.0585255\pi\)
−0.775820 + 0.630955i \(0.782663\pi\)
\(240\) −2352.41 + 6026.19i −0.632698 + 1.62079i
\(241\) −5442.22 1833.70i −1.45462 0.490120i −0.522619 0.852566i \(-0.675045\pi\)
−0.932005 + 0.362446i \(0.881942\pi\)
\(242\) −2020.79 5071.80i −0.536782 1.34722i
\(243\) −2507.39 + 2839.35i −0.661930 + 0.749566i
\(244\) −12956.6 2124.13i −3.39944 0.557310i
\(245\) −2121.38 1801.92i −0.553184 0.469879i
\(246\) −9204.98 6896.53i −2.38573 1.78743i
\(247\) −145.724 662.031i −0.0375392 0.170543i
\(248\) −6102.30 18111.0i −1.56249 4.63729i
\(249\) 1532.18 + 3251.96i 0.389953 + 0.827649i
\(250\) 4045.25 + 6723.26i 1.02338 + 1.70086i
\(251\) 148.836 + 1368.52i 0.0374280 + 0.344145i 0.997847 + 0.0655851i \(0.0208914\pi\)
−0.960419 + 0.278559i \(0.910143\pi\)
\(252\) −1272.83 1172.39i −0.318177 0.293070i
\(253\) −201.398 + 297.040i −0.0500466 + 0.0738133i
\(254\) −3263.98 3091.80i −0.806300 0.763768i
\(255\) 388.857 416.297i 0.0954947 0.102233i
\(256\) −4324.87 2000.90i −1.05588 0.488500i
\(257\) 2387.39 3967.88i 0.579461 0.963072i −0.419020 0.907977i \(-0.637626\pi\)
0.998481 0.0550947i \(-0.0175461\pi\)
\(258\) 8576.03 + 872.132i 2.06946 + 0.210452i
\(259\) 291.737 + 307.983i 0.0699909 + 0.0738885i
\(260\) 1011.86 + 3644.38i 0.241356 + 0.869288i
\(261\) −3431.04 + 1422.91i −0.813702 + 0.337455i
\(262\) −654.917 + 497.855i −0.154431 + 0.117395i
\(263\) −5086.23 1412.19i −1.19251 0.331099i −0.386102 0.922456i \(-0.626179\pi\)
−0.806410 + 0.591357i \(0.798592\pi\)
\(264\) −1120.78 4927.57i −0.261286 1.14875i
\(265\) −166.753 3075.58i −0.0386549 0.712948i
\(266\) 27.1680 + 501.084i 0.00626232 + 0.115502i
\(267\) 1189.08 + 5227.86i 0.272550 + 1.19828i
\(268\) −16102.9 4470.96i −3.67031 1.01906i
\(269\) −1625.57 + 1235.72i −0.368448 + 0.280087i −0.772972 0.634440i \(-0.781231\pi\)
0.404523 + 0.914528i \(0.367437\pi\)
\(270\) −6077.79 + 790.179i −1.36994 + 0.178106i
\(271\) −1230.27 4431.04i −0.275770 0.993235i −0.963597 0.267360i \(-0.913849\pi\)
0.687826 0.725875i \(-0.258565\pi\)
\(272\) −1333.47 1407.73i −0.297256 0.313809i
\(273\) −408.892 41.5820i −0.0906494 0.00921852i
\(274\) −2778.97 + 4618.69i −0.612715 + 1.01834i
\(275\) −833.031 385.401i −0.182668 0.0845112i
\(276\) 1447.50 1549.65i 0.315687 0.337964i
\(277\) 3045.19 + 2884.56i 0.660534 + 0.625691i 0.942687 0.333679i \(-0.108290\pi\)
−0.282153 + 0.959369i \(0.591049\pi\)
\(278\) 866.576 1278.10i 0.186956 0.275740i
\(279\) 6041.70 6559.29i 1.29644 1.40751i
\(280\) −176.012 1618.40i −0.0375669 0.345422i
\(281\) −1436.43 2387.37i −0.304948 0.506827i 0.666053 0.745905i \(-0.267983\pi\)
−0.971000 + 0.239077i \(0.923155\pi\)
\(282\) 5050.71 + 10719.8i 1.06654 + 2.26367i
\(283\) 2367.11 + 7025.34i 0.497209 + 1.47566i 0.843290 + 0.537459i \(0.180616\pi\)
−0.346081 + 0.938205i \(0.612488\pi\)
\(284\) 1745.85 + 7931.47i 0.364779 + 1.65721i
\(285\) 1002.69 + 751.231i 0.208401 + 0.156137i
\(286\) −1573.30 1336.37i −0.325284 0.276299i
\(287\) 1406.79 + 230.631i 0.289338 + 0.0474346i
\(288\) 569.412 + 8344.14i 0.116503 + 1.70723i
\(289\) −1755.29 4405.44i −0.357274 0.896690i
\(290\) −5695.25 1918.95i −1.15323 0.388569i
\(291\) −596.576 + 1528.25i −0.120178 + 0.307862i
\(292\) 4809.10 + 10394.7i 0.963805 + 2.08323i
\(293\) 1899.89 + 103.009i 0.378815 + 0.0205387i 0.242563 0.970136i \(-0.422012\pi\)
0.136251 + 0.990674i \(0.456495\pi\)
\(294\) −8665.42 2340.87i −1.71897 0.464362i
\(295\) 3789.92 305.029i 0.747992 0.0602017i
\(296\) 7319.94i 1.43737i
\(297\) 1764.82 1563.88i 0.344798 0.305540i
\(298\) 9077.98 4199.92i 1.76467 0.816425i
\(299\) 54.4531 500.688i 0.0105321 0.0968412i
\(300\) 4510.09 + 3012.15i 0.867967 + 0.579688i
\(301\) −992.529 + 395.460i −0.190061 + 0.0757273i
\(302\) 4442.19 3011.88i 0.846421 0.573888i
\(303\) −435.409 + 958.635i −0.0825530 + 0.181756i
\(304\) 2760.87 3250.35i 0.520877 0.613224i
\(305\) 2133.29 5354.15i 0.400498 1.00517i
\(306\) 562.207 1748.94i 0.105030 0.326733i
\(307\) 8374.85 2821.82i 1.55693 0.524591i 0.596382 0.802701i \(-0.296604\pi\)
0.960549 + 0.278110i \(0.0897078\pi\)
\(308\) 697.384 + 821.024i 0.129017 + 0.151890i
\(309\) 1790.60 + 6278.71i 0.329657 + 1.15593i
\(310\) 14344.3 1560.03i 2.62806 0.285819i
\(311\) −1075.72 + 4887.02i −0.196136 + 0.891054i 0.771008 + 0.636825i \(0.219753\pi\)
−0.967144 + 0.254229i \(0.918178\pi\)
\(312\) 4628.79 + 5372.92i 0.839916 + 0.974941i
\(313\) 2463.48 2600.66i 0.444869 0.469643i −0.464536 0.885554i \(-0.653779\pi\)
0.909405 + 0.415911i \(0.136537\pi\)
\(314\) −4269.68 2263.64i −0.767363 0.406830i
\(315\) 622.723 435.038i 0.111386 0.0778146i
\(316\) 4175.99 + 2512.61i 0.743411 + 0.447296i
\(317\) −2016.26 + 330.549i −0.357238 + 0.0585661i −0.337729 0.941244i \(-0.609659\pi\)
−0.0195091 + 0.999810i \(0.506210\pi\)
\(318\) −4713.85 8743.15i −0.831257 1.54180i
\(319\) 2227.93 618.581i 0.391035 0.108570i
\(320\) −2161.90 + 2843.92i −0.377668 + 0.496813i
\(321\) 117.757 + 289.648i 0.0204753 + 0.0503631i
\(322\) −99.7438 + 359.245i −0.0172624 + 0.0621737i
\(323\) −331.794 + 175.906i −0.0571565 + 0.0303024i
\(324\) −11733.3 + 7513.97i −2.01189 + 1.28840i
\(325\) 1286.21 69.7365i 0.219527 0.0119024i
\(326\) 7702.39 + 14528.3i 1.30858 + 2.46824i
\(327\) 1331.76 + 788.676i 0.225219 + 0.133376i
\(328\) −14886.2 19582.4i −2.50595 3.29652i
\(329\) −1169.24 888.831i −0.195934 0.148945i
\(330\) 3815.17 26.6493i 0.636419 0.00444544i
\(331\) 5344.41 5062.50i 0.887479 0.840664i −0.100550 0.994932i \(-0.532060\pi\)
0.988029 + 0.154268i \(0.0493018\pi\)
\(332\) 2139.18 + 13048.4i 0.353622 + 2.15700i
\(333\) 2995.10 1641.91i 0.492885 0.270198i
\(334\) −9243.28 + 19979.0i −1.51428 + 3.27307i
\(335\) 3436.29 6481.54i 0.560432 1.05709i
\(336\) −1348.49 2206.18i −0.218948 0.358206i
\(337\) 3223.03 + 2185.27i 0.520979 + 0.353232i 0.793160 0.609014i \(-0.208435\pi\)
−0.272181 + 0.962246i \(0.587745\pi\)
\(338\) −8343.08 1836.45i −1.34261 0.295532i
\(339\) 9667.29 + 1515.61i 1.54884 + 0.242822i
\(340\) 1795.40 1080.26i 0.286381 0.172310i
\(341\) −4230.99 + 3593.84i −0.671909 + 0.570725i
\(342\) 3957.70 + 813.362i 0.625754 + 0.128601i
\(343\) 2209.82 486.419i 0.347869 0.0765718i
\(344\) 17126.1 + 6823.66i 2.68424 + 1.06950i
\(345\) 527.751 + 766.789i 0.0823570 + 0.119660i
\(346\) 103.484 631.227i 0.0160791 0.0980780i
\(347\) −3911.39 5768.87i −0.605114 0.892476i 0.394538 0.918880i \(-0.370905\pi\)
−0.999651 + 0.0264038i \(0.991594\pi\)
\(348\) −13571.6 + 1571.99i −2.09056 + 0.242149i
\(349\) −44.4027 + 131.782i −0.00681038 + 0.0202125i −0.951004 0.309177i \(-0.899946\pi\)
0.944194 + 0.329390i \(0.106843\pi\)
\(350\) −947.967 103.098i −0.144774 0.0157451i
\(351\) −1160.17 + 3099.15i −0.176426 + 0.471283i
\(352\) 281.864 5198.67i 0.0426801 0.787188i
\(353\) 7803.85 1.17665 0.588324 0.808625i \(-0.299788\pi\)
0.588324 + 0.808625i \(0.299788\pi\)
\(354\) 10637.0 6099.11i 1.59704 0.915718i
\(355\) −3565.03 −0.532992
\(356\) −1067.64 + 19691.4i −0.158946 + 2.93158i
\(357\) 38.4050 + 224.430i 0.00569358 + 0.0332719i
\(358\) −5578.74 606.725i −0.823591 0.0895709i
\(359\) 2795.31 8296.18i 0.410949 1.21965i −0.519892 0.854232i \(-0.674028\pi\)
0.930842 0.365422i \(-0.119075\pi\)
\(360\) −12963.2 1939.65i −1.89783 0.283969i
\(361\) 3385.67 + 4993.49i 0.493610 + 0.728020i
\(362\) 890.676 5432.88i 0.129317 0.788801i
\(363\) 4487.95 3088.89i 0.648916 0.446624i
\(364\) −1404.38 559.557i −0.202224 0.0805735i
\(365\) −4910.09 + 1080.79i −0.704126 + 0.154990i
\(366\) −1135.87 18551.8i −0.162221 2.64951i
\(367\) −8306.74 + 7055.81i −1.18149 + 1.00357i −0.181699 + 0.983354i \(0.558160\pi\)
−0.999796 + 0.0202165i \(0.993564\pi\)
\(368\) 2714.93 1633.52i 0.384580 0.231394i
\(369\) 4673.50 10483.5i 0.659329 1.47899i
\(370\) 5397.25 + 1188.02i 0.758350 + 0.166926i
\(371\) 1018.97 + 690.881i 0.142594 + 0.0966813i
\(372\) 27987.4 17106.8i 3.90075 2.38427i
\(373\) −3316.38 + 6255.35i −0.460363 + 0.868337i 0.539293 + 0.842118i \(0.318692\pi\)
−0.999656 + 0.0262189i \(0.991653\pi\)
\(374\) −480.179 + 1037.89i −0.0663889 + 0.143497i
\(375\) −5646.87 + 5424.33i −0.777608 + 0.746964i
\(376\) 4100.00 + 25008.9i 0.562344 + 3.43015i
\(377\) −2355.77 + 2231.51i −0.321826 + 0.304850i
\(378\) 1218.70 2125.06i 0.165829 0.289157i
\(379\) −8790.47 6682.34i −1.19139 0.905670i −0.194226 0.980957i \(-0.562220\pi\)
−0.997162 + 0.0752872i \(0.976013\pi\)
\(380\) 2788.89 + 3668.72i 0.376492 + 0.495266i
\(381\) 2286.13 3860.37i 0.307407 0.519088i
\(382\) −11747.8 22158.8i −1.57348 2.96791i
\(383\) −575.138 + 31.1831i −0.0767315 + 0.00416026i −0.0924647 0.995716i \(-0.529475\pi\)
0.0157332 + 0.999876i \(0.494992\pi\)
\(384\) 282.268 1326.42i 0.0375115 0.176272i
\(385\) −417.788 + 221.497i −0.0553050 + 0.0293209i
\(386\) −2299.15 + 8280.80i −0.303171 + 1.09192i
\(387\) 1049.45 + 8538.09i 0.137847 + 1.12149i
\(388\) −3651.84 + 4803.91i −0.477820 + 0.628561i
\(389\) 2135.98 593.051i 0.278402 0.0772979i −0.125521 0.992091i \(-0.540060\pi\)
0.403923 + 0.914793i \(0.367646\pi\)
\(390\) −4712.89 + 2540.95i −0.611915 + 0.329913i
\(391\) −275.338 + 45.1393i −0.0356123 + 0.00583835i
\(392\) −16448.5 9896.73i −2.11932 1.27515i
\(393\) −629.397 527.091i −0.0807860 0.0676545i
\(394\) −3138.64 1664.00i −0.401326 0.212769i
\(395\) −1471.24 + 1553.17i −0.187408 + 0.197845i
\(396\) 7820.07 3751.45i 0.992357 0.476054i
\(397\) −1734.97 + 7882.05i −0.219334 + 0.996445i 0.730310 + 0.683116i \(0.239376\pi\)
−0.949644 + 0.313330i \(0.898555\pi\)
\(398\) 9336.90 1015.45i 1.17592 0.127889i
\(399\) −481.576 + 137.339i −0.0604234 + 0.0172320i
\(400\) 5246.19 + 6176.30i 0.655774 + 0.772037i
\(401\) 2553.20 860.274i 0.317957 0.107132i −0.155798 0.987789i \(-0.549795\pi\)
0.473755 + 0.880657i \(0.342898\pi\)
\(402\) 1115.78 23631.7i 0.138433 2.93195i
\(403\) 2883.57 7237.23i 0.356429 0.894571i
\(404\) −2507.15 + 2951.65i −0.308751 + 0.363490i
\(405\) −2114.07 5739.22i −0.259380 0.704158i
\(406\) 1988.21 1348.04i 0.243037 0.164783i
\(407\) −1975.22 + 786.998i −0.240560 + 0.0958478i
\(408\) 2182.04 3267.16i 0.264772 0.396443i
\(409\) −679.272 + 6245.80i −0.0821219 + 0.755098i 0.878595 + 0.477568i \(0.158481\pi\)
−0.960717 + 0.277530i \(0.910484\pi\)
\(410\) 16854.9 7797.88i 2.03025 0.939293i
\(411\) −5109.36 1681.90i −0.613202 0.201854i
\(412\) 24015.3i 2.87172i
\(413\) −819.672 + 1279.72i −0.0976596 + 0.152472i
\(414\) 2593.56 + 1511.55i 0.307890 + 0.179441i
\(415\) −5795.81 314.239i −0.685554 0.0371697i
\(416\) 3067.87 + 6631.09i 0.361573 + 0.781528i
\(417\) 1435.48 + 560.361i 0.168575 + 0.0658057i
\(418\) −2383.50 803.094i −0.278901 0.0939728i
\(419\) 5530.49 + 13880.5i 0.644826 + 1.61839i 0.778703 + 0.627392i \(0.215878\pi\)
−0.133878 + 0.990998i \(0.542743\pi\)
\(420\) 2641.54 910.632i 0.306890 0.105796i
\(421\) 1715.03 + 281.165i 0.198540 + 0.0325490i 0.260231 0.965546i \(-0.416201\pi\)
−0.0616913 + 0.998095i \(0.519649\pi\)
\(422\) 11190.7 + 9505.48i 1.29089 + 1.09649i
\(423\) −9313.25 + 7287.26i −1.07051 + 0.837633i
\(424\) −4566.56 20746.1i −0.523047 2.37623i
\(425\) −227.854 676.246i −0.0260060 0.0771829i
\(426\) −10400.2 + 4900.13i −1.18285 + 0.557306i
\(427\) 1187.66 + 1973.90i 0.134601 + 0.223709i
\(428\) 124.344 + 1143.33i 0.0140430 + 0.129123i
\(429\) 952.170 1826.70i 0.107159 0.205580i
\(430\) −7810.89 + 11520.2i −0.875987 + 1.29198i
\(431\) 155.195 + 147.008i 0.0173445 + 0.0164296i 0.696323 0.717729i \(-0.254818\pi\)
−0.678978 + 0.734158i \(0.737577\pi\)
\(432\) −19938.6 + 5988.66i −2.22060 + 0.666966i
\(433\) −11050.5 5112.52i −1.22645 0.567418i −0.303686 0.952772i \(-0.598217\pi\)
−0.922769 + 0.385354i \(0.874079\pi\)
\(434\) −2973.29 + 4941.64i −0.328853 + 0.546559i
\(435\) 606.767 5966.59i 0.0668788 0.657646i
\(436\) 3915.10 + 4133.12i 0.430044 + 0.453992i
\(437\) −164.169 591.284i −0.0179709 0.0647253i
\(438\) −12838.6 + 9901.91i −1.40058 + 1.08021i
\(439\) −11141.5 + 8469.54i −1.21129 + 0.920795i −0.998415 0.0562853i \(-0.982074\pi\)
−0.212871 + 0.977080i \(0.568281\pi\)
\(440\) 7861.99 + 2182.87i 0.851831 + 0.236510i
\(441\) 359.949 8950.14i 0.0388672 0.966434i
\(442\) −86.8861 1602.52i −0.00935011 0.172453i
\(443\) 863.961 + 15934.8i 0.0926592 + 1.70900i 0.562953 + 0.826489i \(0.309665\pi\)
−0.470294 + 0.882510i \(0.655852\pi\)
\(444\) 12250.5 2786.40i 1.30943 0.297831i
\(445\) −8341.10 2315.89i −0.888553 0.246705i
\(446\) −27456.0 + 20871.5i −2.91498 + 2.21591i
\(447\) 6096.00 + 7903.94i 0.645036 + 0.836339i
\(448\) −381.993 1375.81i −0.0402845 0.145092i
\(449\) −5739.06 6058.65i −0.603213 0.636805i 0.350842 0.936435i \(-0.385895\pi\)
−0.954055 + 0.299630i \(0.903137\pi\)
\(450\) −2741.86 + 7171.30i −0.287227 + 0.751241i
\(451\) −3683.66 + 6122.29i −0.384605 + 0.639218i
\(452\) 32666.1 + 15113.0i 3.39930 + 1.57269i
\(453\) 3913.93 + 3655.95i 0.405944 + 0.379186i
\(454\) −21981.6 20822.1i −2.27235 2.15249i
\(455\) 372.411 549.266i 0.0383712 0.0565934i
\(456\) 7662.43 + 3994.05i 0.786899 + 0.410172i
\(457\) −822.856 7566.04i −0.0842267 0.774452i −0.957737 0.287646i \(-0.907127\pi\)
0.873510 0.486806i \(-0.161838\pi\)
\(458\) 3092.48 + 5139.73i 0.315506 + 0.524376i
\(459\) 1826.27 + 159.980i 0.185715 + 0.0162684i
\(460\) 1093.25 + 3244.65i 0.110811 + 0.328875i
\(461\) 1508.14 + 6851.53i 0.152366 + 0.692207i 0.989419 + 0.145085i \(0.0463457\pi\)
−0.837053 + 0.547122i \(0.815723\pi\)
\(462\) −914.359 + 1220.42i −0.0920776 + 0.122898i
\(463\) −4917.27 4176.76i −0.493574 0.419246i 0.365722 0.930724i \(-0.380822\pi\)
−0.859296 + 0.511479i \(0.829098\pi\)
\(464\) −20145.1 3302.63i −2.01555 0.330432i
\(465\) 4692.77 + 13612.7i 0.468005 + 1.35758i
\(466\) 7422.54 + 18629.2i 0.737859 + 1.85189i
\(467\) −7645.45 2576.05i −0.757578 0.255258i −0.0861045 0.996286i \(-0.527442\pi\)
−0.671474 + 0.741028i \(0.734338\pi\)
\(468\) −7230.04 + 9791.93i −0.714122 + 0.967163i
\(469\) 1231.21 + 2661.21i 0.121219 + 0.262012i
\(470\) −19105.4 1035.86i −1.87503 0.101661i
\(471\) 1257.69 4655.69i 0.123039 0.455463i
\(472\) 25453.6 6304.71i 2.48219 0.614826i
\(473\) 5354.96i 0.520552i
\(474\) −2157.21 + 6553.28i −0.209037 + 0.635026i
\(475\) 1424.41 659.002i 0.137592 0.0636570i
\(476\) −90.5497 + 832.591i −0.00871920 + 0.0801717i
\(477\) 7464.38 6521.98i 0.716500 0.626040i
\(478\) −8824.79 + 3516.12i −0.844428 + 0.336451i
\(479\) 13515.3 9163.61i 1.28921 0.874105i 0.292587 0.956239i \(-0.405484\pi\)
0.996621 + 0.0821342i \(0.0261736\pi\)
\(480\) −12295.2 5584.44i −1.16916 0.531028i
\(481\) 1931.73 2274.21i 0.183117 0.215582i
\(482\) 11068.2 27779.0i 1.04594 2.62511i
\(483\) −371.646 17.5474i −0.0350113 0.00165307i
\(484\) 18990.7 6398.71i 1.78350 0.600930i
\(485\) −1714.86 2018.89i −0.160552 0.189017i
\(486\) −14055.9 13837.2i −1.31191 1.29150i
\(487\) −6329.00 + 688.320i −0.588900 + 0.0640468i −0.397718 0.917508i \(-0.630198\pi\)
−0.191182 + 0.981555i \(0.561232\pi\)
\(488\) 8544.98 38820.2i 0.792650 3.60104i
\(489\) −12432.2 + 10710.4i −1.14970 + 0.990476i
\(490\) 9966.79 10521.8i 0.918885 0.970056i
\(491\) 2302.26 + 1220.58i 0.211608 + 0.112187i 0.570842 0.821060i \(-0.306617\pi\)
−0.359234 + 0.933248i \(0.616962\pi\)
\(492\) 27106.3 32367.5i 2.48384 2.96594i
\(493\) 1540.32 + 926.783i 0.140715 + 0.0846657i
\(494\) 3483.20 571.042i 0.317240 0.0520089i
\(495\) 870.328 + 3706.53i 0.0790269 + 0.336557i
\(496\) 47225.0 13111.9i 4.27513 1.18698i
\(497\) 862.332 1134.38i 0.0778288 0.102382i
\(498\) −17340.0 + 7049.61i −1.56029 + 0.634339i
\(499\) 3186.54 11476.9i 0.285870 1.02961i −0.671562 0.740949i \(-0.734376\pi\)
0.957431 0.288661i \(-0.0932100\pi\)
\(500\) −25445.9 + 13490.6i −2.27595 + 1.20663i
\(501\) −21486.7 4572.47i −1.91608 0.407751i
\(502\) −7157.36 + 388.061i −0.636352 + 0.0345020i
\(503\) −4521.39 8528.24i −0.400793 0.755975i 0.598177 0.801364i \(-0.295892\pi\)
−0.998969 + 0.0453889i \(0.985547\pi\)
\(504\) 3752.80 3655.65i 0.331673 0.323087i
\(505\) −1028.80 1353.37i −0.0906558 0.119256i
\(506\) −1487.64 1130.87i −0.130699 0.0993546i
\(507\) −59.5467 8524.84i −0.00521610 0.746748i
\(508\) 11980.7 11348.7i 1.04637 0.991175i
\(509\) 2123.64 + 12953.7i 0.184929 + 1.12802i 0.902230 + 0.431254i \(0.141929\pi\)
−0.717301 + 0.696763i \(0.754623\pi\)
\(510\) 2054.85 + 2139.15i 0.178412 + 0.185732i
\(511\) 843.781 1823.80i 0.0730463 0.157887i
\(512\) 10644.5 20077.7i 0.918802 1.73304i
\(513\) 84.4843 + 4031.13i 0.00727110 + 0.346937i
\(514\) 19957.3 + 13531.4i 1.71261 + 1.16118i
\(515\) −10295.5 2266.21i −0.880921 0.193905i
\(516\) −4900.77 + 31259.5i −0.418109 + 2.66690i
\(517\) 6307.61 3795.16i 0.536573 0.322845i
\(518\) −1683.55 + 1430.02i −0.142801 + 0.121296i
\(519\) 637.131 39.0094i 0.0538862 0.00329927i
\(520\) −11182.9 + 2461.55i −0.943086 + 0.207589i
\(521\) 122.721 + 48.8964i 0.0103196 + 0.00411169i 0.375292 0.926907i \(-0.377542\pi\)
−0.364973 + 0.931018i \(0.618922\pi\)
\(522\) −6430.96 18240.3i −0.539225 1.52941i
\(523\) −3007.14 + 18342.7i −0.251421 + 1.53360i 0.495455 + 0.868634i \(0.335001\pi\)
−0.746876 + 0.664964i \(0.768447\pi\)
\(524\) −1694.59 2499.33i −0.141276 0.208366i
\(525\) −109.489 945.255i −0.00910185 0.0785796i
\(526\) 8776.24 26047.0i 0.727495 2.15913i
\(527\) −4290.60 466.631i −0.354652 0.0385707i
\(528\) 12773.9 2185.90i 1.05286 0.180169i
\(529\) −634.025 + 11693.9i −0.0521102 + 0.961116i
\(530\) 16038.0 1.31442
\(531\) 8289.10 + 9000.67i 0.677432 + 0.735585i
\(532\) −1841.97 −0.150112
\(533\) 542.860 10012.5i 0.0441161 0.813673i
\(534\) −27516.6 + 4708.72i −2.22989 + 0.381584i
\(535\) −501.887 54.5835i −0.0405578 0.00441093i
\(536\) 16155.2 47947.0i 1.30186 3.86380i
\(537\) −644.335 5562.78i −0.0517786 0.447024i
\(538\) −5966.70 8800.23i −0.478147 0.705213i
\(539\) −902.091 + 5502.51i −0.0720887 + 0.439722i
\(540\) −1688.37 22433.3i −0.134548 1.78773i
\(541\) −7370.61 2936.72i −0.585744 0.233382i 0.0583910 0.998294i \(-0.481403\pi\)
−0.644135 + 0.764912i \(0.722782\pi\)
\(542\) 23385.3 5147.50i 1.85329 0.407941i
\(543\) 5483.70 335.749i 0.433385 0.0265347i
\(544\) 3084.99 2620.41i 0.243139 0.206524i
\(545\) −2141.35 + 1288.41i −0.168303 + 0.101265i
\(546\) 331.465 2114.25i 0.0259806 0.165717i
\(547\) 5619.17 + 1236.87i 0.439229 + 0.0966816i 0.429079 0.903267i \(-0.358838\pi\)
0.0101498 + 0.999948i \(0.496769\pi\)
\(548\) −16376.1 11103.3i −1.27656 0.865528i
\(549\) 17800.8 5211.27i 1.38382 0.405122i
\(550\) 2238.66 4222.57i 0.173558 0.327365i
\(551\) −1660.10 + 3588.26i −0.128354 + 0.277432i
\(552\) 4447.40 + 4629.86i 0.342924 + 0.356992i
\(553\) −138.340 843.837i −0.0106380 0.0648889i
\(554\) −15856.2 + 15019.8i −1.21600 + 1.15186i
\(555\) 38.5215 + 5514.83i 0.00294621 + 0.421787i
\(556\) 4512.29 + 3430.15i 0.344179 + 0.261638i
\(557\) −4468.46 5878.16i −0.339919 0.447155i 0.594094 0.804396i \(-0.297511\pi\)
−0.934012 + 0.357240i \(0.883718\pi\)
\(558\) 32400.8 + 33261.9i 2.45813 + 2.52346i
\(559\) 3520.08 + 6639.58i 0.266339 + 0.502369i
\(560\) 4168.77 226.024i 0.314576 0.0170558i
\(561\) −1116.21 237.535i −0.0840046 0.0178765i
\(562\) 12817.7 6795.50i 0.962065 0.510055i
\(563\) 5909.49 21284.0i 0.442371 1.59328i −0.320843 0.947132i \(-0.603966\pi\)
0.763214 0.646145i \(-0.223620\pi\)
\(564\) −40293.8 + 16381.6i −3.00829 + 1.22303i
\(565\) −9561.59 + 12578.1i −0.711963 + 0.936572i
\(566\) −37194.4 + 10327.0i −2.76219 + 0.766917i
\(567\) 2337.56 + 715.551i 0.173137 + 0.0529988i
\(568\) −24263.3 + 3977.77i −1.79237 + 0.293844i
\(569\) −13529.6 8140.50i −0.996821 0.599767i −0.0790469 0.996871i \(-0.525188\pi\)
−0.917774 + 0.397104i \(0.870015\pi\)
\(570\) −4188.56 + 5001.55i −0.307789 + 0.367529i
\(571\) −16601.7 8801.67i −1.21674 0.645076i −0.268701 0.963224i \(-0.586594\pi\)
−0.948041 + 0.318148i \(0.896939\pi\)
\(572\) 5210.71 5500.88i 0.380893 0.402104i
\(573\) 18961.9 16335.7i 1.38245 1.19099i
\(574\) −1595.70 + 7249.36i −0.116034 + 0.527147i
\(575\) 1159.22 126.073i 0.0840747 0.00914367i
\(576\) −11495.3 + 160.599i −0.831549 + 0.0116174i
\(577\) 913.604 + 1075.58i 0.0659166 + 0.0776030i 0.794132 0.607745i \(-0.207926\pi\)
−0.728215 + 0.685348i \(0.759650\pi\)
\(578\) 23400.2 7884.44i 1.68394 0.567387i
\(579\) −8566.65 404.478i −0.614884 0.0290320i
\(580\) 8165.10 20492.9i 0.584547 1.46710i
\(581\) 1501.92 1768.19i 0.107246 0.126260i
\(582\) −7777.72 3532.61i −0.553947 0.251601i
\(583\) −5107.17 + 3462.75i −0.362808 + 0.245990i
\(584\) −32211.8 + 12834.4i −2.28242 + 0.909400i
\(585\) −3515.60 4023.59i −0.248465 0.284368i
\(586\) −1071.16 + 9849.12i −0.0755104 + 0.694306i
\(587\) −2065.08 + 955.409i −0.145205 + 0.0671788i −0.491146 0.871077i \(-0.663422\pi\)
0.345941 + 0.938256i \(0.387560\pi\)
\(588\) 10301.7 31295.2i 0.722512 2.19489i
\(589\) 9492.24i 0.664042i
\(590\) 517.572 + 19791.1i 0.0361155 + 1.38099i
\(591\) 924.525 3422.40i 0.0643484 0.238204i
\(592\) 18744.5 + 1016.30i 1.30134 + 0.0705569i
\(593\) −2794.44 6040.09i −0.193514 0.418275i 0.786393 0.617726i \(-0.211946\pi\)
−0.979908 + 0.199452i \(0.936084\pi\)
\(594\) 7633.62 + 9616.74i 0.527292 + 0.664276i
\(595\) −348.393 117.387i −0.0240046 0.00808808i
\(596\) 13589.5 + 34107.1i 0.933974 + 2.34410i
\(597\) 3054.60 + 8860.69i 0.209408 + 0.607444i
\(598\) 2587.90 + 424.264i 0.176968 + 0.0290124i
\(599\) 1271.68 + 1080.18i 0.0867437 + 0.0736808i 0.689709 0.724087i \(-0.257738\pi\)
−0.602965 + 0.797767i \(0.706014\pi\)
\(600\) −9845.07 + 13140.5i −0.669872 + 0.894096i
\(601\) −3702.90 16822.4i −0.251322 1.14177i −0.918050 0.396465i \(-0.870237\pi\)
0.666728 0.745301i \(-0.267694\pi\)
\(602\) −1776.34 5271.98i −0.120263 0.356926i
\(603\) 23242.2 4144.58i 1.56965 0.279901i
\(604\) 10156.4 + 16880.0i 0.684199 + 1.13715i
\(605\) 951.104 + 8745.26i 0.0639139 + 0.587678i
\(606\) −4861.53 2534.08i −0.325885 0.169868i
\(607\) −2557.91 + 3772.63i −0.171042 + 0.252267i −0.903542 0.428499i \(-0.859043\pi\)
0.732501 + 0.680766i \(0.238353\pi\)
\(608\) 6463.04 + 6122.12i 0.431104 + 0.408363i
\(609\) 1751.78 + 1636.31i 0.116561 + 0.108878i
\(610\) 27236.7 + 12601.0i 1.80784 + 0.836395i
\(611\) −5326.02 + 8851.91i −0.352648 + 0.586105i
\(612\) 6298.49 + 2408.15i 0.416015 + 0.159058i
\(613\) 14309.0 + 15105.8i 0.942795 + 0.995296i 0.999995 0.00306631i \(-0.000976040\pi\)
−0.0572005 + 0.998363i \(0.518217\pi\)
\(614\) 12310.7 + 44339.1i 0.809152 + 2.91430i
\(615\) 11318.3 + 14675.1i 0.742110 + 0.962204i
\(616\) −2596.29 + 1973.65i −0.169817 + 0.129092i
\(617\) 22350.8 + 6205.66i 1.45836 + 0.404911i 0.904060 0.427406i \(-0.140573\pi\)
0.554299 + 0.832317i \(0.312986\pi\)
\(618\) −33149.9 + 7539.99i −2.15774 + 0.490782i
\(619\) −184.435 3401.70i −0.0119759 0.220882i −0.998395 0.0566341i \(-0.981963\pi\)
0.986419 0.164248i \(-0.0525196\pi\)
\(620\) 2867.31 + 52884.5i 0.185732 + 3.42563i
\(621\) −896.821 + 2858.25i −0.0579520 + 0.184698i
\(622\) −25106.0 6970.66i −1.61843 0.449354i
\(623\) 2754.51 2093.92i 0.177138 0.134657i
\(624\) −14401.4 + 11107.2i −0.923904 + 0.712571i
\(625\) −1556.05 5604.40i −0.0995874 0.358681i
\(626\) 12827.3 + 13541.6i 0.818980 + 0.864586i
\(627\) 253.936 2497.05i 0.0161742 0.159047i
\(628\) 9145.15 15199.4i 0.581101 0.965797i
\(629\) −1500.27 694.099i −0.0951028 0.0439993i
\(630\) 2086.36 + 3360.39i 0.131941 + 0.212509i
\(631\) 7832.11 + 7418.97i 0.494123 + 0.468058i 0.893715 0.448635i \(-0.148090\pi\)
−0.399592 + 0.916693i \(0.630848\pi\)
\(632\) −8280.19 + 12212.4i −0.521152 + 0.768642i
\(633\) −6772.69 + 12993.1i −0.425261 + 0.815847i
\(634\) −1150.25 10576.4i −0.0720542 0.662527i
\(635\) 3734.70 + 6207.12i 0.233397 + 0.387909i
\(636\) 32982.0 15539.7i 2.05633 0.968852i
\(637\) −2498.58 7415.53i −0.155412 0.461246i
\(638\) 2588.16 + 11758.1i 0.160605 + 0.729638i
\(639\) −7070.00 9035.60i −0.437692 0.559378i
\(640\) 1668.85 + 1417.54i 0.103074 + 0.0875516i
\(641\) 19564.8 + 3207.49i 1.20556 + 0.197641i 0.730872 0.682514i \(-0.239113\pi\)
0.474686 + 0.880155i \(0.342562\pi\)
\(642\) −1539.17 + 530.608i −0.0946204 + 0.0326190i
\(643\) 3952.46 + 9919.94i 0.242411 + 0.608405i 0.998963 0.0455284i \(-0.0144971\pi\)
−0.756553 + 0.653933i \(0.773118\pi\)
\(644\) −1296.88 436.969i −0.0793543 0.0267376i
\(645\) −12938.7 5050.81i −0.789861 0.308334i
\(646\) −821.063 1774.70i −0.0500067 0.108088i
\(647\) −16056.8 870.573i −0.975667 0.0528991i −0.440596 0.897706i \(-0.645233\pi\)
−0.535072 + 0.844807i \(0.679715\pi\)
\(648\) −20791.9 36701.9i −1.26047 2.22498i
\(649\) −4437.89 6190.56i −0.268417 0.374424i
\(650\) 6707.12i 0.404731i
\(651\) −5466.62 1799.50i −0.329115 0.108338i
\(652\) −54779.4 + 25343.7i −3.29038 + 1.52229i
\(653\) 3151.75 28979.8i 0.188878 1.73670i −0.389580 0.920993i \(-0.627380\pi\)
0.578458 0.815712i \(-0.303655\pi\)
\(654\) −4476.02 + 6701.94i −0.267624 + 0.400714i
\(655\) 1231.39 490.631i 0.0734572 0.0292680i
\(656\) 52212.6 35401.0i 3.10756 2.10698i
\(657\) −12476.8 10301.3i −0.740890 0.611708i
\(658\) 4950.94 5828.70i 0.293325 0.345329i
\(659\) 8332.84 20913.8i 0.492566 1.23625i −0.447201 0.894434i \(-0.647579\pi\)
0.939767 0.341815i \(-0.111042\pi\)
\(660\) −660.480 + 13988.6i −0.0389532 + 0.825010i
\(661\) −4037.15 + 1360.28i −0.237560 + 0.0800432i −0.435563 0.900158i \(-0.643451\pi\)
0.198003 + 0.980201i \(0.436554\pi\)
\(662\) 24815.0 + 29214.5i 1.45689 + 1.71519i
\(663\) 1540.13 439.225i 0.0902168 0.0257286i
\(664\) −39796.4 + 4328.12i −2.32591 + 0.252958i
\(665\) 173.818 789.664i 0.0101359 0.0460479i
\(666\) 7692.52 + 16035.4i 0.447566 + 0.932973i
\(667\) −2020.08 + 2132.57i −0.117268 + 0.123798i
\(668\) −71390.1 37848.7i −4.13498 2.19223i
\(669\) −26386.1 22097.2i −1.52488 1.27702i
\(670\) 32731.0 + 19693.6i 1.88733 + 1.13557i
\(671\) −11394.0 + 1867.95i −0.655529 + 0.107469i
\(672\) 4751.00 2561.49i 0.272729 0.147041i
\(673\) −9239.55 + 2565.35i −0.529210 + 0.146935i −0.521848 0.853038i \(-0.674757\pi\)
−0.00736210 + 0.999973i \(0.502343\pi\)
\(674\) −12270.5 + 16141.6i −0.701251 + 0.922480i
\(675\) −7585.01 1080.82i −0.432514 0.0616307i
\(676\) 8388.88 30214.0i 0.477292 1.71905i
\(677\) −406.226 + 215.367i −0.0230613 + 0.0122263i −0.479899 0.877324i \(-0.659327\pi\)
0.456838 + 0.889550i \(0.348982\pi\)
\(678\) −10605.4 + 49836.3i −0.600733 + 2.82294i
\(679\) 1057.21 57.3201i 0.0597524 0.00323968i
\(680\) 2971.39 + 5604.63i 0.167570 + 0.316070i
\(681\) 15396.2 25998.1i 0.866350 1.46292i
\(682\) −17492.9 23011.5i −0.982165 1.29202i
\(683\) 10026.6 + 7622.03i 0.561724 + 0.427012i 0.847123 0.531397i \(-0.178333\pi\)
−0.285399 + 0.958409i \(0.592126\pi\)
\(684\) −3767.61 + 14344.1i −0.210611 + 0.801843i
\(685\) 6305.40 5972.80i 0.351704 0.333152i
\(686\) 1906.11 + 11626.7i 0.106087 + 0.647100i
\(687\) −4316.87 + 4146.75i −0.239736 + 0.230289i
\(688\) −19851.5 + 42908.3i −1.10004 + 2.37771i
\(689\) 4056.11 7650.64i 0.224275 0.423028i
\(690\) −4135.57 + 2527.80i −0.228172 + 0.139466i
\(691\) −6548.78 4440.19i −0.360532 0.244447i 0.367450 0.930043i \(-0.380231\pi\)
−0.727981 + 0.685597i \(0.759541\pi\)
\(692\) 2293.00 + 504.728i 0.125964 + 0.0277267i
\(693\) −1389.92 619.624i −0.0761888 0.0339647i
\(694\) 31096.9 18710.4i 1.70090 1.02340i
\(695\) −1896.34 + 1610.76i −0.103499 + 0.0879132i
\(696\) −2527.75 41285.2i −0.137664 2.24843i
\(697\) −5425.11 + 1194.16i −0.294821 + 0.0648951i
\(698\) −672.665 268.014i −0.0364767 0.0145336i
\(699\) −16484.7 + 11345.8i −0.891998 + 0.613928i
\(700\) 566.253 3453.99i 0.0305748 0.186498i
\(701\) 886.320 + 1307.22i 0.0477544 + 0.0704325i 0.850817 0.525463i \(-0.176108\pi\)
−0.803062 + 0.595895i \(0.796797\pi\)
\(702\) −15786.5 6905.78i −0.848749 0.371285i
\(703\) 1160.87 3445.35i 0.0622804 0.184842i
\(704\) 7114.59 + 773.758i 0.380882 + 0.0414234i
\(705\) −3220.55 18820.1i −0.172047 1.00540i
\(706\) −2199.90 + 40574.8i −0.117273 + 2.16297i
\(707\) 679.491 0.0361455
\(708\) 20240.6 + 40198.8i 1.07442 + 2.13385i
\(709\) 14285.7 0.756716 0.378358 0.925659i \(-0.376489\pi\)
0.378358 + 0.925659i \(0.376489\pi\)
\(710\) 1004.98 18535.8i 0.0531215 0.979768i
\(711\) −6854.24 648.698i −0.361539 0.0342167i
\(712\) −59352.9 6455.02i −3.12408 0.339764i
\(713\) 2251.84 6683.23i 0.118278 0.351036i
\(714\) −1177.71 + 136.414i −0.0617293 + 0.00715008i
\(715\) 1866.55 + 2752.96i 0.0976296 + 0.143993i
\(716\) 3332.37 20326.6i 0.173934 1.06095i
\(717\) −5374.58 7808.92i −0.279940 0.406735i
\(718\) 42346.7 + 16872.5i 2.20106 + 0.876984i
\(719\) 17089.9 3761.76i 0.886432 0.195118i 0.251658 0.967816i \(-0.419024\pi\)
0.634774 + 0.772698i \(0.281093\pi\)
\(720\) 6766.77 32926.1i 0.350254 1.70428i
\(721\) 3211.45 2727.83i 0.165881 0.140901i
\(722\) −26917.3 + 16195.6i −1.38747 + 0.834816i
\(723\) 29480.6 + 4621.88i 1.51645 + 0.237745i
\(724\) 19735.6 + 4344.13i 1.01308 + 0.222995i
\(725\) −6218.23 4216.06i −0.318537 0.215973i
\(726\) 14795.0 + 24205.2i 0.756328 + 1.23738i
\(727\) 8563.61 16152.7i 0.436873 0.824030i −0.563124 0.826372i \(-0.690401\pi\)
0.999997 + 0.00234235i \(0.000745595\pi\)
\(728\) 1921.75 4153.79i 0.0978361 0.211469i
\(729\) 10353.6 16739.9i 0.526016 0.850475i
\(730\) −4235.25 25833.9i −0.214731 1.30980i
\(731\) 3022.50 2863.07i 0.152929 0.144862i
\(732\) 68221.7 476.534i 3.44474 0.0240617i
\(733\) −3497.59 2658.80i −0.176244 0.133977i 0.513333 0.858189i \(-0.328410\pi\)
−0.689577 + 0.724212i \(0.742204\pi\)
\(734\) −34343.9 45178.6i −1.72705 2.27190i
\(735\) 12444.4 + 7369.62i 0.624513 + 0.369840i
\(736\) 3098.10 + 5843.65i 0.155160 + 0.292663i
\(737\) −14675.0 + 795.654i −0.733459 + 0.0397670i
\(738\) 53189.6 + 27254.4i 2.65303 + 1.35941i
\(739\) −12109.1 + 6419.86i −0.602763 + 0.319565i −0.741695 0.670737i \(-0.765978\pi\)
0.138932 + 0.990302i \(0.455633\pi\)
\(740\) −5426.88 + 19545.9i −0.269589 + 0.970973i
\(741\) 1326.59 + 3263.01i 0.0657670 + 0.161767i
\(742\) −3879.37 + 5103.23i −0.191936 + 0.252487i
\(743\) −26784.6 + 7436.70i −1.32252 + 0.367195i −0.855844 0.517234i \(-0.826962\pi\)
−0.466674 + 0.884429i \(0.654548\pi\)
\(744\) 47127.4 + 87410.8i 2.32228 + 4.30730i
\(745\) −15904.3 + 2607.39i −0.782135 + 0.128224i
\(746\) −31588.8 19006.3i −1.55033 0.932804i
\(747\) −10697.5 15312.7i −0.523966 0.750017i
\(748\) −3708.64 1966.20i −0.181285 0.0961114i
\(749\) 138.768 146.495i 0.00676965 0.00714663i
\(750\) −26611.1 30889.1i −1.29560 1.50388i
\(751\) 3070.83 13950.9i 0.149209 0.677865i −0.841317 0.540542i \(-0.818219\pi\)
0.990526 0.137323i \(-0.0438498\pi\)
\(752\) −64610.8 + 7026.85i −3.13313 + 0.340748i
\(753\) −1961.72 6878.71i −0.0949389 0.332901i
\(754\) −10938.3 12877.5i −0.528313 0.621978i
\(755\) −8194.98 + 2761.21i −0.395028 + 0.133100i
\(756\) 7546.58 + 4889.08i 0.363051 + 0.235204i
\(757\) −12442.9 + 31229.3i −0.597417 + 1.49940i 0.249876 + 0.968278i \(0.419610\pi\)
−0.847293 + 0.531126i \(0.821769\pi\)
\(758\) 37221.8 43820.9i 1.78358 2.09980i
\(759\) 771.164 1697.87i 0.0368794 0.0811971i
\(760\) −11547.8 + 7829.60i −0.551161 + 0.373696i
\(761\) 8840.86 3522.52i 0.421131 0.167794i −0.149939 0.988695i \(-0.547908\pi\)
0.571070 + 0.820901i \(0.306528\pi\)
\(762\) 19426.9 + 12974.6i 0.923573 + 0.616825i
\(763\) 107.997 993.018i 0.00512420 0.0471162i
\(764\) 83550.6 38654.6i 3.95649 1.83047i
\(765\) −1626.75 + 2472.96i −0.0768827 + 0.116876i
\(766\) 2999.13i 0.141466i
\(767\) 9571.89 + 4758.40i 0.450614 + 0.224010i
\(768\) 23904.4 + 6457.52i 1.12314 + 0.303406i
\(769\) 26723.4 + 1448.90i 1.25315 + 0.0679438i 0.668728 0.743507i \(-0.266839\pi\)
0.584421 + 0.811451i \(0.301322\pi\)
\(770\) −1033.86 2234.66i −0.0483868 0.104586i
\(771\) −8749.91 + 22414.7i −0.408717 + 1.04701i
\(772\) −29893.8 10072.4i −1.39366 0.469577i
\(773\) 12474.7 + 31309.2i 0.580445 + 1.45681i