Properties

Label 177.4.f.a.2.3
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 2.3
Character \(\chi\) \(=\) 177.2
Dual form 177.4.f.a.89.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.282358 + 5.20779i) q^{2} +(-0.412985 + 5.17971i) q^{3} +(-19.0882 - 2.07597i) q^{4} +(-2.66012 + 7.89495i) q^{5} +(-26.8583 - 3.61327i) q^{6} +(2.27648 + 3.35756i) q^{7} +(9.45083 - 57.6475i) q^{8} +(-26.6589 - 4.27829i) q^{9} +O(q^{10})\) \(q+(-0.282358 + 5.20779i) q^{2} +(-0.412985 + 5.17971i) q^{3} +(-19.0882 - 2.07597i) q^{4} +(-2.66012 + 7.89495i) q^{5} +(-26.8583 - 3.61327i) q^{6} +(2.27648 + 3.35756i) q^{7} +(9.45083 - 57.6475i) q^{8} +(-26.6589 - 4.27829i) q^{9} +(-40.3641 - 16.0825i) q^{10} +(19.5208 - 4.29684i) q^{11} +(18.6361 - 98.0143i) q^{12} +(-36.1212 + 30.6817i) q^{13} +(-18.1282 + 10.9074i) q^{14} +(-39.7950 - 17.0391i) q^{15} +(147.532 + 32.4743i) q^{16} +(48.1112 + 32.6202i) q^{17} +(29.8078 - 137.626i) q^{18} +(39.6830 - 74.8501i) q^{19} +(67.1667 - 145.178i) q^{20} +(-18.3313 + 10.4049i) q^{21} +(16.8652 + 102.873i) q^{22} +(-107.044 + 101.397i) q^{23} +(294.695 + 72.7601i) q^{24} +(44.2576 + 33.6438i) q^{25} +(-149.584 - 196.775i) q^{26} +(33.1700 - 136.319i) q^{27} +(-36.4838 - 68.8157i) q^{28} +(71.3607 - 3.86907i) q^{29} +(99.9727 - 202.433i) q^{30} +(-242.317 + 128.468i) q^{31} +(-85.7507 + 308.846i) q^{32} +(14.1946 + 102.886i) q^{33} +(-183.464 + 241.342i) q^{34} +(-32.5634 + 9.04119i) q^{35} +(499.990 + 137.008i) q^{36} +(-40.4009 + 6.62339i) q^{37} +(378.599 + 227.795i) q^{38} +(-144.005 - 199.769i) q^{39} +(429.984 + 227.963i) q^{40} +(224.811 - 237.330i) q^{41} +(-49.0105 - 98.4036i) q^{42} +(-76.7406 + 348.636i) q^{43} +(-381.537 + 41.4946i) q^{44} +(104.693 - 199.090i) q^{45} +(-497.830 - 586.091i) q^{46} +(136.613 - 46.0303i) q^{47} +(-229.136 + 750.764i) q^{48} +(120.867 - 303.352i) q^{49} +(-187.706 + 220.985i) q^{50} +(-188.833 + 235.731i) q^{51} +(753.185 - 510.672i) q^{52} +(-251.866 + 100.352i) q^{53} +(700.552 + 211.233i) q^{54} +(-18.0042 + 165.545i) q^{55} +(215.069 - 99.5017i) q^{56} +(371.314 + 236.459i) q^{57} +372.724i q^{58} +(-116.547 - 437.945i) q^{59} +(724.244 + 407.861i) q^{60} +(-778.239 - 42.1949i) q^{61} +(-600.617 - 1298.21i) q^{62} +(-46.3238 - 99.2481i) q^{63} +(-438.941 - 147.896i) q^{64} +(-146.143 - 366.792i) q^{65} +(-539.819 + 44.8719i) q^{66} +(336.138 + 55.1071i) q^{67} +(-850.640 - 722.540i) q^{68} +(-481.000 - 596.331i) q^{69} +(-37.8901 - 172.136i) q^{70} +(-134.699 - 399.772i) q^{71} +(-498.581 + 1496.38i) q^{72} +(-260.421 - 432.823i) q^{73} +(-23.0857 - 212.269i) q^{74} +(-192.543 + 215.348i) q^{75} +(-912.866 + 1346.38i) q^{76} +(58.8655 + 55.7603i) q^{77} +(1081.01 - 693.540i) q^{78} +(-389.756 - 180.320i) q^{79} +(-648.837 + 1078.37i) q^{80} +(692.392 + 228.109i) q^{81} +(1172.49 + 1237.78i) q^{82} +(57.4797 + 207.023i) q^{83} +(371.513 - 160.556i) q^{84} +(-385.516 + 293.062i) q^{85} +(-1793.96 - 498.089i) q^{86} +(-9.43026 + 371.226i) q^{87} +(-63.2149 - 1165.93i) q^{88} +(24.4740 + 451.397i) q^{89} +(1007.26 + 601.432i) q^{90} +(-185.245 - 51.4329i) q^{91} +(2253.77 - 1713.27i) q^{92} +(-565.357 - 1308.19i) q^{93} +(201.142 + 724.449i) q^{94} +(485.376 + 512.406i) q^{95} +(-1564.32 - 571.713i) q^{96} +(-652.015 + 1083.66i) q^{97} +(1545.67 + 715.102i) q^{98} +(-538.785 + 31.0336i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.282358 + 5.20779i −0.0998287 + 1.84123i 0.336784 + 0.941582i \(0.390661\pi\)
−0.436613 + 0.899650i \(0.643822\pi\)
\(3\) −0.412985 + 5.17971i −0.0794790 + 0.996837i
\(4\) −19.0882 2.07597i −2.38603 0.259496i
\(5\) −2.66012 + 7.89495i −0.237928 + 0.706146i 0.760460 + 0.649385i \(0.224974\pi\)
−0.998388 + 0.0567605i \(0.981923\pi\)
\(6\) −26.8583 3.61327i −1.82747 0.245852i
\(7\) 2.27648 + 3.35756i 0.122918 + 0.181291i 0.884170 0.467166i \(-0.154725\pi\)
−0.761251 + 0.648457i \(0.775415\pi\)
\(8\) 9.45083 57.6475i 0.417671 2.54768i
\(9\) −26.6589 4.27829i −0.987366 0.158455i
\(10\) −40.3641 16.0825i −1.27643 0.508574i
\(11\) 19.5208 4.29684i 0.535066 0.117777i 0.0607858 0.998151i \(-0.480639\pi\)
0.474280 + 0.880374i \(0.342708\pi\)
\(12\) 18.6361 98.0143i 0.448315 2.35786i
\(13\) −36.1212 + 30.6817i −0.770633 + 0.654582i −0.943877 0.330297i \(-0.892851\pi\)
0.173244 + 0.984879i \(0.444575\pi\)
\(14\) −18.1282 + 10.9074i −0.346069 + 0.208223i
\(15\) −39.7950 17.0391i −0.685002 0.293299i
\(16\) 147.532 + 32.4743i 2.30519 + 0.507411i
\(17\) 48.1112 + 32.6202i 0.686393 + 0.465386i 0.853868 0.520490i \(-0.174251\pi\)
−0.167474 + 0.985876i \(0.553561\pi\)
\(18\) 29.8078 137.626i 0.390320 1.80215i
\(19\) 39.6830 74.8501i 0.479153 0.903779i −0.519627 0.854393i \(-0.673929\pi\)
0.998780 0.0493853i \(-0.0157262\pi\)
\(20\) 67.1667 145.178i 0.750946 1.62314i
\(21\) −18.3313 + 10.4049i −0.190487 + 0.108121i
\(22\) 16.8652 + 102.873i 0.163440 + 0.996938i
\(23\) −107.044 + 101.397i −0.970440 + 0.919250i −0.996762 0.0804036i \(-0.974379\pi\)
0.0263220 + 0.999654i \(0.491620\pi\)
\(24\) 294.695 + 72.7601i 2.50643 + 0.618838i
\(25\) 44.2576 + 33.6438i 0.354061 + 0.269150i
\(26\) −149.584 196.775i −1.12830 1.48426i
\(27\) 33.1700 136.319i 0.236429 0.971649i
\(28\) −36.4838 68.8157i −0.246242 0.464463i
\(29\) 71.3607 3.86907i 0.456943 0.0247747i 0.175769 0.984431i \(-0.443759\pi\)
0.281174 + 0.959657i \(0.409276\pi\)
\(30\) 99.9727 202.433i 0.608415 1.23197i
\(31\) −242.317 + 128.468i −1.40392 + 0.744310i −0.986401 0.164358i \(-0.947445\pi\)
−0.417518 + 0.908669i \(0.637100\pi\)
\(32\) −85.7507 + 308.846i −0.473710 + 1.70615i
\(33\) 14.1946 + 102.886i 0.0748779 + 0.542734i
\(34\) −183.464 + 241.342i −0.925405 + 1.21735i
\(35\) −32.5634 + 9.04119i −0.157264 + 0.0436640i
\(36\) 499.990 + 137.008i 2.31477 + 0.634297i
\(37\) −40.4009 + 6.62339i −0.179510 + 0.0294292i −0.250866 0.968022i \(-0.580715\pi\)
0.0713565 + 0.997451i \(0.477267\pi\)
\(38\) 378.599 + 227.795i 1.61623 + 0.972455i
\(39\) −144.005 199.769i −0.591262 0.820221i
\(40\) 429.984 + 227.963i 1.69966 + 0.901103i
\(41\) 224.811 237.330i 0.856332 0.904019i −0.139951 0.990158i \(-0.544695\pi\)
0.996283 + 0.0861399i \(0.0274532\pi\)
\(42\) −49.0105 98.4036i −0.180059 0.361524i
\(43\) −76.7406 + 348.636i −0.272159 + 1.23643i 0.619961 + 0.784632i \(0.287148\pi\)
−0.892120 + 0.451798i \(0.850783\pi\)
\(44\) −381.537 + 41.4946i −1.30725 + 0.142172i
\(45\) 104.693 199.090i 0.346815 0.659523i
\(46\) −497.830 586.091i −1.59567 1.87857i
\(47\) 136.613 46.0303i 0.423980 0.142856i −0.0992197 0.995066i \(-0.531635\pi\)
0.523200 + 0.852210i \(0.324738\pi\)
\(48\) −229.136 + 750.764i −0.689021 + 2.25757i
\(49\) 120.867 303.352i 0.352381 0.884409i
\(50\) −187.706 + 220.985i −0.530913 + 0.625040i
\(51\) −188.833 + 235.731i −0.518468 + 0.647233i
\(52\) 753.185 510.672i 2.00861 1.36187i
\(53\) −251.866 + 100.352i −0.652762 + 0.260084i −0.672923 0.739712i \(-0.734962\pi\)
0.0201607 + 0.999797i \(0.493582\pi\)
\(54\) 700.552 + 211.233i 1.76543 + 0.532319i
\(55\) −18.0042 + 165.545i −0.0441396 + 0.405857i
\(56\) 215.069 99.5017i 0.513211 0.237437i
\(57\) 371.314 + 236.459i 0.862837 + 0.549469i
\(58\) 372.724i 0.843812i
\(59\) −116.547 437.945i −0.257171 0.966366i
\(60\) 724.244 + 407.861i 1.55832 + 0.877576i
\(61\) −778.239 42.1949i −1.63350 0.0885656i −0.785603 0.618731i \(-0.787647\pi\)
−0.847894 + 0.530165i \(0.822130\pi\)
\(62\) −600.617 1298.21i −1.23030 2.65924i
\(63\) −46.3238 99.2481i −0.0926389 0.198478i
\(64\) −438.941 147.896i −0.857307 0.288860i
\(65\) −146.143 366.792i −0.278875 0.699923i
\(66\) −539.819 + 44.8719i −1.00677 + 0.0836870i
\(67\) 336.138 + 55.1071i 0.612923 + 0.100484i 0.460244 0.887792i \(-0.347762\pi\)
0.152679 + 0.988276i \(0.451210\pi\)
\(68\) −850.640 722.540i −1.51699 1.28854i
\(69\) −481.000 596.331i −0.839212 1.04043i
\(70\) −37.8901 172.136i −0.0646962 0.293918i
\(71\) −134.699 399.772i −0.225153 0.668229i −0.999376 0.0353169i \(-0.988756\pi\)
0.774224 0.632912i \(-0.218141\pi\)
\(72\) −498.581 + 1496.38i −0.816088 + 2.44931i
\(73\) −260.421 432.823i −0.417533 0.693946i 0.574696 0.818367i \(-0.305120\pi\)
−0.992230 + 0.124421i \(0.960293\pi\)
\(74\) −23.0857 212.269i −0.0362656 0.333457i
\(75\) −192.543 + 215.348i −0.296439 + 0.331549i
\(76\) −912.866 + 1346.38i −1.37780 + 2.03210i
\(77\) 58.8655 + 55.7603i 0.0871214 + 0.0825257i
\(78\) 1081.01 693.540i 1.56924 1.00677i
\(79\) −389.756 180.320i −0.555076 0.256806i 0.122236 0.992501i \(-0.460993\pi\)
−0.677312 + 0.735696i \(0.736855\pi\)
\(80\) −648.837 + 1078.37i −0.906777 + 1.50707i
\(81\) 692.392 + 228.109i 0.949784 + 0.312907i
\(82\) 1172.49 + 1237.78i 1.57902 + 1.66695i
\(83\) 57.4797 + 207.023i 0.0760146 + 0.273780i 0.991784 0.127925i \(-0.0408316\pi\)
−0.915769 + 0.401705i \(0.868418\pi\)
\(84\) 371.513 160.556i 0.482564 0.208548i
\(85\) −385.516 + 293.062i −0.491943 + 0.373965i
\(86\) −1793.96 498.089i −2.24939 0.624539i
\(87\) −9.43026 + 371.226i −0.0116210 + 0.457467i
\(88\) −63.2149 1165.93i −0.0765765 1.41237i
\(89\) 24.4740 + 451.397i 0.0291488 + 0.537618i 0.976245 + 0.216669i \(0.0695191\pi\)
−0.947096 + 0.320949i \(0.895998\pi\)
\(90\) 1007.26 + 601.432i 1.17971 + 0.704405i
\(91\) −185.245 51.4329i −0.213395 0.0592487i
\(92\) 2253.77 1713.27i 2.55404 1.94153i
\(93\) −565.357 1308.19i −0.630374 1.45863i
\(94\) 201.142 + 724.449i 0.220705 + 0.794907i
\(95\) 485.376 + 512.406i 0.524195 + 0.553386i
\(96\) −1564.32 571.713i −1.66310 0.607814i
\(97\) −652.015 + 1083.66i −0.682496 + 1.13432i 0.301042 + 0.953611i \(0.402666\pi\)
−0.983537 + 0.180705i \(0.942162\pi\)
\(98\) 1545.67 + 715.102i 1.59322 + 0.737104i
\(99\) −538.785 + 31.0336i −0.546969 + 0.0315050i
\(100\) −774.957 734.078i −0.774957 0.734078i
\(101\) −1007.18 + 1485.48i −0.992259 + 1.46347i −0.109308 + 0.994008i \(0.534864\pi\)
−0.882951 + 0.469465i \(0.844447\pi\)
\(102\) −1174.32 1049.96i −1.13995 1.01923i
\(103\) 76.2944 + 701.515i 0.0729855 + 0.671091i 0.972292 + 0.233771i \(0.0751066\pi\)
−0.899306 + 0.437320i \(0.855928\pi\)
\(104\) 1427.34 + 2372.27i 1.34580 + 2.23673i
\(105\) −33.3826 172.403i −0.0310267 0.160236i
\(106\) −451.498 1340.00i −0.413711 1.22785i
\(107\) −157.944 717.546i −0.142701 0.648297i −0.992608 0.121365i \(-0.961273\pi\)
0.849907 0.526933i \(-0.176658\pi\)
\(108\) −916.151 + 2533.22i −0.816266 + 2.25703i
\(109\) −1216.10 1032.96i −1.06863 0.907704i −0.0726583 0.997357i \(-0.523148\pi\)
−0.995973 + 0.0896532i \(0.971424\pi\)
\(110\) −857.042 140.505i −0.742871 0.121787i
\(111\) −17.6223 212.000i −0.0150688 0.181281i
\(112\) 226.820 + 569.275i 0.191361 + 0.480281i
\(113\) 1922.03 + 647.608i 1.60008 + 0.539131i 0.971179 0.238350i \(-0.0766067\pi\)
0.628906 + 0.777482i \(0.283503\pi\)
\(114\) −1336.27 + 1866.96i −1.09784 + 1.53383i
\(115\) −515.776 1114.83i −0.418229 0.903988i
\(116\) −1370.18 74.2891i −1.09671 0.0594618i
\(117\) 1094.22 663.402i 0.864619 0.524201i
\(118\) 2313.63 483.294i 1.80498 0.377041i
\(119\) 235.795i 0.181641i
\(120\) −1358.36 + 2133.05i −1.03334 + 1.62266i
\(121\) −845.386 + 391.117i −0.635151 + 0.293852i
\(122\) 439.484 4040.99i 0.326140 2.99880i
\(123\) 1136.46 + 1262.47i 0.833098 + 0.925473i
\(124\) 4892.11 1949.19i 3.54294 1.41163i
\(125\) −1245.29 + 844.325i −0.891055 + 0.604150i
\(126\) 529.943 213.221i 0.374691 0.150756i
\(127\) 410.996 483.861i 0.287165 0.338077i −0.599598 0.800301i \(-0.704673\pi\)
0.886763 + 0.462225i \(0.152949\pi\)
\(128\) −54.9687 + 137.961i −0.0379578 + 0.0952668i
\(129\) −1774.14 541.476i −1.21089 0.369568i
\(130\) 1951.44 657.517i 1.31656 0.443600i
\(131\) 1139.36 + 1341.35i 0.759893 + 0.894615i 0.997042 0.0768579i \(-0.0244888\pi\)
−0.237149 + 0.971473i \(0.576213\pi\)
\(132\) −57.3613 1993.39i −0.0378232 1.31441i
\(133\) 341.651 37.1568i 0.222744 0.0242248i
\(134\) −381.897 + 1734.98i −0.246201 + 1.11850i
\(135\) 987.992 + 624.499i 0.629873 + 0.398136i
\(136\) 2335.16 2465.20i 1.47234 1.55433i
\(137\) 371.136 + 196.764i 0.231447 + 0.122706i 0.580097 0.814548i \(-0.303015\pi\)
−0.348649 + 0.937253i \(0.613360\pi\)
\(138\) 3241.38 2336.57i 1.99945 1.44132i
\(139\) 2324.40 + 1398.54i 1.41836 + 0.853402i 0.998530 0.0541988i \(-0.0172605\pi\)
0.419835 + 0.907601i \(0.362088\pi\)
\(140\) 640.348 104.980i 0.386566 0.0633743i
\(141\) 182.005 + 726.627i 0.108706 + 0.433993i
\(142\) 2119.96 588.605i 1.25284 0.347850i
\(143\) −573.279 + 754.136i −0.335245 + 0.441007i
\(144\) −3794.11 1496.92i −2.19567 0.866271i
\(145\) −159.282 + 573.681i −0.0912251 + 0.328563i
\(146\) 2327.58 1234.01i 1.31940 0.699500i
\(147\) 1521.36 + 751.334i 0.853604 + 0.421558i
\(148\) 784.932 42.5578i 0.435953 0.0236367i
\(149\) 554.596 + 1046.08i 0.304928 + 0.575155i 0.987864 0.155323i \(-0.0496419\pi\)
−0.682936 + 0.730479i \(0.739297\pi\)
\(150\) −1067.12 1063.53i −0.580866 0.578911i
\(151\) −1128.40 1484.38i −0.608130 0.799981i 0.384246 0.923231i \(-0.374462\pi\)
−0.992376 + 0.123250i \(0.960668\pi\)
\(152\) −3939.88 2995.02i −2.10241 1.59821i
\(153\) −1143.03 1075.45i −0.603979 0.568269i
\(154\) −307.009 + 290.815i −0.160646 + 0.152172i
\(155\) −369.660 2254.82i −0.191560 1.16846i
\(156\) 2334.08 + 4112.18i 1.19792 + 2.11050i
\(157\) −1541.55 + 3332.01i −0.783626 + 1.69378i −0.0655135 + 0.997852i \(0.520869\pi\)
−0.718112 + 0.695927i \(0.754994\pi\)
\(158\) 1049.12 1978.85i 0.528251 0.996387i
\(159\) −415.780 1346.04i −0.207381 0.671369i
\(160\) −2210.22 1498.56i −1.09208 0.740449i
\(161\) −584.129 128.576i −0.285937 0.0629394i
\(162\) −1383.45 + 3541.43i −0.670949 + 1.71754i
\(163\) −518.196 + 311.788i −0.249008 + 0.149823i −0.634586 0.772852i \(-0.718829\pi\)
0.385579 + 0.922675i \(0.374002\pi\)
\(164\) −4783.94 + 4063.52i −2.27782 + 1.93480i
\(165\) −850.043 161.624i −0.401065 0.0762571i
\(166\) −1094.36 + 240.887i −0.511681 + 0.112629i
\(167\) 985.190 + 392.536i 0.456505 + 0.181888i 0.587044 0.809555i \(-0.300292\pi\)
−0.130539 + 0.991443i \(0.541671\pi\)
\(168\) 426.570 + 1155.09i 0.195896 + 0.530459i
\(169\) 7.94476 48.4609i 0.00361619 0.0220578i
\(170\) −1417.35 2090.44i −0.639446 0.943113i
\(171\) −1378.14 + 1825.65i −0.616308 + 0.816436i
\(172\) 2188.60 6495.54i 0.970229 2.87954i
\(173\) 3432.46 + 373.302i 1.50847 + 0.164056i 0.824669 0.565616i \(-0.191361\pi\)
0.683798 + 0.729671i \(0.260327\pi\)
\(174\) −1930.60 153.929i −0.841142 0.0670653i
\(175\) −12.2093 + 225.187i −0.00527391 + 0.0972716i
\(176\) 3019.48 1.29319
\(177\) 2316.56 422.814i 0.983749 0.179552i
\(178\) −2357.69 −0.992789
\(179\) −126.757 + 2337.89i −0.0529288 + 0.976214i 0.844639 + 0.535337i \(0.179815\pi\)
−0.897567 + 0.440877i \(0.854667\pi\)
\(180\) −2411.70 + 3582.93i −0.998654 + 1.48365i
\(181\) −119.159 12.9593i −0.0489337 0.00532186i 0.0836194 0.996498i \(-0.473352\pi\)
−0.132553 + 0.991176i \(0.542318\pi\)
\(182\) 320.157 950.193i 0.130394 0.386994i
\(183\) 539.959 4013.63i 0.218114 1.62129i
\(184\) 4833.64 + 7129.08i 1.93663 + 2.85632i
\(185\) 55.1798 336.582i 0.0219292 0.133762i
\(186\) 6972.41 2574.88i 2.74861 1.01505i
\(187\) 1079.33 + 430.045i 0.422078 + 0.168171i
\(188\) −2703.26 + 595.033i −1.04870 + 0.230836i
\(189\) 533.208 198.956i 0.205213 0.0765710i
\(190\) −2805.55 + 2383.06i −1.07124 + 0.909921i
\(191\) −313.688 + 188.740i −0.118836 + 0.0715012i −0.573731 0.819044i \(-0.694504\pi\)
0.454895 + 0.890545i \(0.349677\pi\)
\(192\) 947.338 2212.51i 0.356084 0.831636i
\(193\) −3882.31 854.561i −1.44795 0.318718i −0.579695 0.814833i \(-0.696828\pi\)
−0.868257 + 0.496115i \(0.834759\pi\)
\(194\) −5459.36 3701.53i −2.02041 1.36987i
\(195\) 1960.23 605.501i 0.719873 0.222363i
\(196\) −2936.88 + 5539.54i −1.07029 + 2.01878i
\(197\) 357.616 772.975i 0.129336 0.279554i −0.832079 0.554657i \(-0.812850\pi\)
0.961415 + 0.275102i \(0.0887117\pi\)
\(198\) −9.48623 2814.64i −0.00340483 1.01024i
\(199\) 537.977 + 3281.52i 0.191639 + 1.16895i 0.890941 + 0.454120i \(0.150046\pi\)
−0.699301 + 0.714827i \(0.746505\pi\)
\(200\) 2357.75 2233.38i 0.833591 0.789619i
\(201\) −424.259 + 1718.34i −0.148880 + 0.602998i
\(202\) −7451.68 5664.62i −2.59554 1.97308i
\(203\) 175.442 + 230.790i 0.0606581 + 0.0797944i
\(204\) 4093.85 4107.67i 1.40503 1.40978i
\(205\) 1275.69 + 2406.20i 0.434623 + 0.819787i
\(206\) −3674.88 + 199.246i −1.24292 + 0.0673891i
\(207\) 3287.47 2245.17i 1.10384 0.753865i
\(208\) −6325.42 + 3353.52i −2.10860 + 1.11791i
\(209\) 453.023 1631.64i 0.149934 0.540015i
\(210\) 907.265 125.170i 0.298130 0.0411312i
\(211\) 3262.25 4291.41i 1.06437 1.40016i 0.153167 0.988200i \(-0.451053\pi\)
0.911204 0.411955i \(-0.135154\pi\)
\(212\) 5016.00 1392.69i 1.62500 0.451179i
\(213\) 2126.34 532.602i 0.684010 0.171330i
\(214\) 3781.43 619.933i 1.20791 0.198027i
\(215\) −2548.33 1533.28i −0.808346 0.486366i
\(216\) −7544.94 3200.49i −2.37670 1.00818i
\(217\) −982.970 521.138i −0.307504 0.163028i
\(218\) 5722.82 6041.50i 1.77797 1.87698i
\(219\) 2349.45 1170.16i 0.724936 0.361058i
\(220\) 687.335 3122.59i 0.210637 0.956933i
\(221\) −2738.68 + 297.849i −0.833590 + 0.0906584i
\(222\) 1109.03 31.9132i 0.335285 0.00964808i
\(223\) 451.079 + 531.052i 0.135455 + 0.159470i 0.825707 0.564099i \(-0.190776\pi\)
−0.690252 + 0.723569i \(0.742500\pi\)
\(224\) −1232.18 + 415.169i −0.367537 + 0.123838i
\(225\) −1035.92 1086.25i −0.306940 0.321853i
\(226\) −3915.31 + 9826.68i −1.15240 + 2.89231i
\(227\) −2099.54 + 2471.77i −0.613882 + 0.722717i −0.977993 0.208638i \(-0.933097\pi\)
0.364111 + 0.931355i \(0.381373\pi\)
\(228\) −6596.84 5284.42i −1.91617 1.53495i
\(229\) 1456.23 987.349i 0.420220 0.284916i −0.332694 0.943035i \(-0.607958\pi\)
0.752914 + 0.658118i \(0.228647\pi\)
\(230\) 5951.44 2371.27i 1.70620 0.679813i
\(231\) −313.133 + 281.878i −0.0891890 + 0.0802867i
\(232\) 451.376 4150.33i 0.127734 1.17449i
\(233\) −3119.51 + 1443.24i −0.877108 + 0.405793i −0.806168 0.591687i \(-0.798462\pi\)
−0.0709404 + 0.997481i \(0.522600\pi\)
\(234\) 3145.89 + 5885.77i 0.878861 + 1.64429i
\(235\) 1201.00i 0.333381i
\(236\) 1315.51 + 8601.55i 0.362850 + 2.37251i
\(237\) 1094.97 1944.36i 0.300110 0.532909i
\(238\) −1227.97 66.5787i −0.334444 0.0181330i
\(239\) 1860.23 + 4020.82i 0.503466 + 1.08822i 0.978118 + 0.208050i \(0.0667116\pi\)
−0.474653 + 0.880173i \(0.657426\pi\)
\(240\) −5317.71 3806.14i −1.43024 1.02369i
\(241\) −5824.02 1962.34i −1.55667 0.524504i −0.596189 0.802844i \(-0.703319\pi\)
−0.960483 + 0.278340i \(0.910216\pi\)
\(242\) −1798.15 4513.03i −0.477644 1.19879i
\(243\) −1467.49 + 3492.19i −0.387405 + 0.921910i
\(244\) 14767.6 + 2421.03i 3.87459 + 0.635207i
\(245\) 2073.43 + 1761.19i 0.540680 + 0.459258i
\(246\) −6895.57 + 5561.97i −1.78718 + 1.44154i
\(247\) 863.126 + 3921.22i 0.222346 + 1.01013i
\(248\) 5115.79 + 15183.1i 1.30989 + 3.88762i
\(249\) −1096.06 + 212.231i −0.278955 + 0.0540144i
\(250\) −4045.45 6723.59i −1.02343 1.70095i
\(251\) 824.467 + 7580.85i 0.207330 + 1.90637i 0.386062 + 0.922473i \(0.373835\pi\)
−0.178732 + 0.983898i \(0.557200\pi\)
\(252\) 678.204 + 1990.64i 0.169535 + 0.497613i
\(253\) −1653.88 + 2439.30i −0.410983 + 0.606155i
\(254\) 2403.80 + 2277.00i 0.593810 + 0.562487i
\(255\) −1358.76 2117.90i −0.333683 0.520109i
\(256\) −4065.97 1881.12i −0.992669 0.459258i
\(257\) 965.673 1604.96i 0.234385 0.389551i −0.717233 0.696833i \(-0.754592\pi\)
0.951619 + 0.307282i \(0.0994194\pi\)
\(258\) 3320.84 9086.47i 0.801342 2.19263i
\(259\) −114.210 120.570i −0.0274003 0.0289261i
\(260\) 2028.17 + 7304.81i 0.483776 + 1.74240i
\(261\) −1918.95 202.157i −0.455096 0.0479433i
\(262\) −7307.19 + 5554.78i −1.72305 + 1.30983i
\(263\) −1839.66 510.780i −0.431325 0.119757i 0.0450788 0.998983i \(-0.485646\pi\)
−0.476404 + 0.879227i \(0.658060\pi\)
\(264\) 6065.30 + 154.077i 1.41399 + 0.0359196i
\(265\) −122.285 2255.42i −0.0283468 0.522827i
\(266\) 97.0368 + 1789.74i 0.0223673 + 0.412541i
\(267\) −2348.21 59.6517i −0.538234 0.0136728i
\(268\) −6301.89 1749.71i −1.43638 0.398808i
\(269\) 6848.74 5206.27i 1.55232 1.18005i 0.641591 0.767047i \(-0.278275\pi\)
0.910732 0.412998i \(-0.135519\pi\)
\(270\) −3531.23 + 4968.92i −0.795940 + 1.12000i
\(271\) −974.291 3509.08i −0.218391 0.786574i −0.988828 0.149058i \(-0.952376\pi\)
0.770437 0.637516i \(-0.220038\pi\)
\(272\) 6038.64 + 6374.92i 1.34613 + 1.42109i
\(273\) 342.911 938.273i 0.0760217 0.208011i
\(274\) −1129.50 + 1877.24i −0.249035 + 0.413899i
\(275\) 1008.50 + 466.584i 0.221146 + 0.102313i
\(276\) 7943.49 + 12381.4i 1.73240 + 2.70027i
\(277\) 3830.89 + 3628.81i 0.830960 + 0.787127i 0.979429 0.201790i \(-0.0646759\pi\)
−0.148469 + 0.988917i \(0.547435\pi\)
\(278\) −7939.63 + 11710.1i −1.71290 + 2.52634i
\(279\) 7009.53 2388.12i 1.50412 0.512449i
\(280\) 213.451 + 1962.65i 0.0455576 + 0.418895i
\(281\) −416.295 691.887i −0.0883774 0.146884i 0.809515 0.587099i \(-0.199730\pi\)
−0.897893 + 0.440214i \(0.854902\pi\)
\(282\) −3835.51 + 742.673i −0.809934 + 0.156828i
\(283\) −187.706 557.092i −0.0394275 0.117017i 0.926132 0.377201i \(-0.123113\pi\)
−0.965559 + 0.260184i \(0.916217\pi\)
\(284\) 1741.25 + 7910.58i 0.363818 + 1.65284i
\(285\) −2854.57 + 2302.50i −0.593298 + 0.478555i
\(286\) −3765.51 3198.46i −0.778529 0.661289i
\(287\) 1308.63 + 214.539i 0.269149 + 0.0441248i
\(288\) 3607.35 7866.62i 0.738073 1.60953i
\(289\) −567.878 1425.27i −0.115587 0.290101i
\(290\) −2942.64 991.490i −0.595854 0.200767i
\(291\) −5343.76 3824.78i −1.07648 0.770491i
\(292\) 4072.44 + 8802.45i 0.816171 + 1.76412i
\(293\) −3719.64 201.673i −0.741652 0.0402112i −0.320559 0.947229i \(-0.603871\pi\)
−0.421093 + 0.907017i \(0.638353\pi\)
\(294\) −4342.36 + 7710.79i −0.861400 + 1.52960i
\(295\) 3767.58 + 244.854i 0.743583 + 0.0483253i
\(296\) 2391.61i 0.469626i
\(297\) 61.7648 2803.57i 0.0120672 0.547742i
\(298\) −5604.36 + 2592.85i −1.08943 + 0.504026i
\(299\) 755.517 6946.86i 0.146129 1.34364i
\(300\) 4122.36 3710.89i 0.793349 0.714161i
\(301\) −1345.26 + 536.002i −0.257607 + 0.102640i
\(302\) 8048.95 5457.33i 1.53366 1.03985i
\(303\) −7278.41 5830.39i −1.37998 1.10544i
\(304\) 8285.24 9754.13i 1.56313 1.84026i
\(305\) 2403.33 6031.92i 0.451195 1.13241i
\(306\) 5923.47 5649.01i 1.10661 1.05533i
\(307\) 2491.67 839.541i 0.463215 0.156075i −0.0780107 0.996953i \(-0.524857\pi\)
0.541226 + 0.840877i \(0.317960\pi\)
\(308\) −1007.88 1186.57i −0.186459 0.219517i
\(309\) −3665.16 + 105.468i −0.674768 + 0.0194170i
\(310\) 11847.0 1288.44i 2.17053 0.236060i
\(311\) 2256.66 10252.1i 0.411458 1.86927i −0.0775424 0.996989i \(-0.524707\pi\)
0.489000 0.872284i \(-0.337362\pi\)
\(312\) −12877.1 + 6413.53i −2.33662 + 1.16376i
\(313\) −2813.29 + 2969.95i −0.508040 + 0.536331i −0.928673 0.370900i \(-0.879049\pi\)
0.420633 + 0.907231i \(0.361808\pi\)
\(314\) −16917.1 8968.90i −3.04041 1.61192i
\(315\) 906.786 101.712i 0.162196 0.0181931i
\(316\) 7065.42 + 4251.12i 1.25779 + 0.756786i
\(317\) −3216.11 + 527.254i −0.569826 + 0.0934182i −0.439805 0.898093i \(-0.644953\pi\)
−0.130020 + 0.991511i \(0.541504\pi\)
\(318\) 7127.27 1785.23i 1.25685 0.314814i
\(319\) 1376.39 382.153i 0.241577 0.0670735i
\(320\) 2335.27 3072.00i 0.407955 0.536656i
\(321\) 3781.91 521.768i 0.657588 0.0907236i
\(322\) 834.533 3005.72i 0.144431 0.520192i
\(323\) 4350.83 2306.66i 0.749494 0.397356i
\(324\) −12743.0 5791.58i −2.18501 0.993070i
\(325\) −2630.89 + 142.643i −0.449032 + 0.0243458i
\(326\) −1477.41 2786.69i −0.251001 0.473437i
\(327\) 5852.67 5872.43i 0.989766 0.993107i
\(328\) −11556.8 15202.8i −1.94549 2.55925i
\(329\) 465.546 + 353.899i 0.0780134 + 0.0593042i
\(330\) 1081.72 4381.21i 0.180445 0.730841i
\(331\) 2410.51 2283.36i 0.400284 0.379169i −0.460909 0.887447i \(-0.652477\pi\)
0.861193 + 0.508279i \(0.169718\pi\)
\(332\) −667.412 4071.03i −0.110328 0.672973i
\(333\) 1105.38 3.72548i 0.181905 0.000613078i
\(334\) −2322.42 + 5019.83i −0.380470 + 0.822373i
\(335\) −1329.24 + 2507.20i −0.216788 + 0.408905i
\(336\) −3042.36 + 939.761i −0.493971 + 0.152584i
\(337\) −691.454 468.817i −0.111768 0.0757807i 0.504022 0.863691i \(-0.331853\pi\)
−0.615791 + 0.787910i \(0.711163\pi\)
\(338\) 250.131 + 55.0580i 0.0402525 + 0.00886024i
\(339\) −4148.20 + 9688.13i −0.664599 + 1.55217i
\(340\) 7967.22 4793.72i 1.27083 0.764635i
\(341\) −4178.21 + 3549.00i −0.663527 + 0.563605i
\(342\) −9118.45 7692.53i −1.44172 1.21627i
\(343\) 2652.54 583.867i 0.417561 0.0919122i
\(344\) 19372.7 + 7718.80i 3.03636 + 1.20980i
\(345\) 5987.52 2211.16i 0.934368 0.345058i
\(346\) −2913.26 + 17770.1i −0.452653 + 2.76106i
\(347\) −4470.38 6593.32i −0.691592 1.02002i −0.997684 0.0680202i \(-0.978332\pi\)
0.306092 0.952002i \(-0.400979\pi\)
\(348\) 950.662 7066.47i 0.146439 1.08851i
\(349\) 3383.54 10042.0i 0.518960 1.54022i −0.292769 0.956183i \(-0.594577\pi\)
0.811729 0.584034i \(-0.198527\pi\)
\(350\) −1169.28 127.167i −0.178573 0.0194210i
\(351\) 2984.34 + 5941.71i 0.453824 + 0.903547i
\(352\) −346.855 + 6397.36i −0.0525211 + 0.968695i
\(353\) 3298.94 0.497408 0.248704 0.968580i \(-0.419995\pi\)
0.248704 + 0.968580i \(0.419995\pi\)
\(354\) 1547.83 + 12183.6i 0.232390 + 1.82923i
\(355\) 3514.50 0.525437
\(356\) 469.921 8667.18i 0.0699600 1.29034i
\(357\) −1221.35 97.3800i −0.181067 0.0144367i
\(358\) −12139.5 1320.25i −1.79215 0.194908i
\(359\) 423.664 1257.39i 0.0622844 0.184854i −0.911993 0.410206i \(-0.865457\pi\)
0.974277 + 0.225352i \(0.0723533\pi\)
\(360\) −10487.6 7916.83i −1.53540 1.15904i
\(361\) −178.616 263.439i −0.0260411 0.0384078i
\(362\) 101.135 616.895i 0.0146838 0.0895670i
\(363\) −1676.74 4540.38i −0.242441 0.656497i
\(364\) 3429.22 + 1366.33i 0.493791 + 0.196744i
\(365\) 4109.86 904.649i 0.589370 0.129730i
\(366\) 20749.7 + 3945.27i 2.96340 + 0.563450i
\(367\) −150.886 + 128.164i −0.0214610 + 0.0182292i −0.658053 0.752972i \(-0.728620\pi\)
0.636592 + 0.771201i \(0.280344\pi\)
\(368\) −19085.2 + 11483.2i −2.70349 + 1.62664i
\(369\) −7008.58 + 5365.15i −0.988760 + 0.756907i
\(370\) 1737.27 + 382.401i 0.244098 + 0.0537300i
\(371\) −910.306 617.203i −0.127387 0.0863708i
\(372\) 8075.90 + 26144.7i 1.12558 + 3.64392i
\(373\) −1351.08 + 2548.41i −0.187550 + 0.353757i −0.959401 0.282047i \(-0.908987\pi\)
0.771850 + 0.635804i \(0.219331\pi\)
\(374\) −2544.34 + 5499.50i −0.351777 + 0.760354i
\(375\) −3859.08 6798.92i −0.531419 0.936253i
\(376\) −1362.43 8310.43i −0.186866 1.13983i
\(377\) −2458.93 + 2329.22i −0.335918 + 0.318199i
\(378\) 885.566 + 2833.01i 0.120499 + 0.385488i
\(379\) 5556.29 + 4223.78i 0.753054 + 0.572457i 0.909733 0.415193i \(-0.136286\pi\)
−0.156680 + 0.987649i \(0.550079\pi\)
\(380\) −8201.24 10788.5i −1.10714 1.45642i
\(381\) 2336.53 + 2328.67i 0.314184 + 0.313127i
\(382\) −894.345 1686.91i −0.119787 0.225942i
\(383\) 6912.27 374.773i 0.922195 0.0499999i 0.413076 0.910696i \(-0.364454\pi\)
0.509118 + 0.860696i \(0.329972\pi\)
\(384\) −691.898 341.698i −0.0919486 0.0454094i
\(385\) −596.814 + 316.411i −0.0790038 + 0.0418852i
\(386\) 5546.57 19977.0i 0.731381 2.63420i
\(387\) 3537.39 8965.93i 0.464639 1.17768i
\(388\) 14695.5 19331.5i 1.92281 2.52941i
\(389\) −13627.4 + 3783.64i −1.77619 + 0.493157i −0.991876 0.127206i \(-0.959399\pi\)
−0.784315 + 0.620363i \(0.786985\pi\)
\(390\) 2599.83 + 10379.5i 0.337558 + 1.34765i
\(391\) −8457.59 + 1386.55i −1.09391 + 0.179337i
\(392\) −16345.2 9834.58i −2.10601 1.26715i
\(393\) −7418.37 + 5347.58i −0.952181 + 0.686386i
\(394\) 3924.51 + 2080.65i 0.501813 + 0.266044i
\(395\) 2460.42 2597.43i 0.313410 0.330863i
\(396\) 10348.9 + 526.125i 1.31326 + 0.0667645i
\(397\) 1767.06 8027.83i 0.223391 1.01487i −0.722748 0.691112i \(-0.757121\pi\)
0.946138 0.323762i \(-0.104948\pi\)
\(398\) −17241.3 + 1875.11i −2.17143 + 0.236158i
\(399\) 51.3648 + 1785.00i 0.00644475 + 0.223964i
\(400\) 5436.87 + 6400.78i 0.679609 + 0.800098i
\(401\) −4081.23 + 1375.13i −0.508247 + 0.171248i −0.561730 0.827320i \(-0.689864\pi\)
0.0534833 + 0.998569i \(0.482968\pi\)
\(402\) −8828.97 2694.64i −1.09540 0.334319i
\(403\) 4811.17 12075.1i 0.594694 1.49257i
\(404\) 22309.1 26264.3i 2.74733 3.23440i
\(405\) −3642.75 + 4859.61i −0.446938 + 0.596237i
\(406\) −1251.44 + 848.499i −0.152975 + 0.103720i
\(407\) −760.196 + 302.890i −0.0925836 + 0.0368887i
\(408\) 11804.7 + 13113.6i 1.43240 + 1.59122i
\(409\) −231.054 + 2124.51i −0.0279337 + 0.256847i 0.971841 + 0.235636i \(0.0757174\pi\)
−0.999775 + 0.0212102i \(0.993248\pi\)
\(410\) −12891.2 + 5964.09i −1.55280 + 0.718404i
\(411\) −1172.45 + 1841.12i −0.140713 + 0.220963i
\(412\) 13549.1i 1.62018i
\(413\) 1205.11 1388.29i 0.143582 0.165407i
\(414\) 10764.1 + 17754.4i 1.27785 + 2.10768i
\(415\) −1787.34 96.9067i −0.211415 0.0114626i
\(416\) −6378.49 13786.9i −0.751757 1.62490i
\(417\) −8203.99 + 11462.1i −0.963432 + 1.34605i
\(418\) 8369.33 + 2819.96i 0.979324 + 0.329973i
\(419\) 1474.06 + 3699.62i 0.171868 + 0.431356i 0.989527 0.144346i \(-0.0461080\pi\)
−0.817659 + 0.575702i \(0.804729\pi\)
\(420\) 279.311 + 3360.17i 0.0324499 + 0.390380i
\(421\) 6105.25 + 1000.90i 0.706773 + 0.115870i 0.504440 0.863447i \(-0.331699\pi\)
0.202334 + 0.979317i \(0.435147\pi\)
\(422\) 21427.6 + 18200.8i 2.47176 + 2.09953i
\(423\) −3838.88 + 642.646i −0.441260 + 0.0738689i
\(424\) 3404.73 + 15467.8i 0.389972 + 1.77166i
\(425\) 1031.82 + 3062.34i 0.117766 + 0.349518i
\(426\) 2173.29 + 11223.9i 0.247175 + 1.27652i
\(427\) −1629.97 2709.04i −0.184731 0.307025i
\(428\) 1525.27 + 14024.6i 0.172258 + 1.58389i
\(429\) −3669.45 3280.87i −0.412967 0.369235i
\(430\) 8704.52 12838.2i 0.976208 1.43980i
\(431\) −3436.07 3254.82i −0.384013 0.363756i 0.471206 0.882023i \(-0.343819\pi\)
−0.855219 + 0.518267i \(0.826577\pi\)
\(432\) 9320.51 19034.2i 1.03804 2.11987i
\(433\) 6380.18 + 2951.79i 0.708111 + 0.327607i 0.740676 0.671863i \(-0.234506\pi\)
−0.0325650 + 0.999470i \(0.510368\pi\)
\(434\) 2991.53 4971.96i 0.330871 0.549911i
\(435\) −2905.73 1061.96i −0.320273 0.117050i
\(436\) 21068.7 + 22242.0i 2.31424 + 2.44311i
\(437\) 3341.77 + 12036.0i 0.365809 + 1.31752i
\(438\) 5430.54 + 12565.8i 0.592423 + 1.37082i
\(439\) 2357.20 1791.89i 0.256271 0.194812i −0.469148 0.883119i \(-0.655439\pi\)
0.725419 + 0.688307i \(0.241646\pi\)
\(440\) 9373.13 + 2602.44i 1.01556 + 0.281969i
\(441\) −4520.00 + 7569.93i −0.488068 + 0.817399i
\(442\) −777.848 14346.6i −0.0837069 1.54388i
\(443\) 328.255 + 6054.31i 0.0352051 + 0.649320i 0.961883 + 0.273463i \(0.0881690\pi\)
−0.926677 + 0.375857i \(0.877348\pi\)
\(444\) −103.728 + 4083.30i −0.0110872 + 0.436452i
\(445\) −3628.86 1007.55i −0.386572 0.107331i
\(446\) −2892.97 + 2199.18i −0.307144 + 0.233485i
\(447\) −5647.43 + 2440.63i −0.597571 + 0.258251i
\(448\) −502.670 1810.45i −0.0530110 0.190928i
\(449\) 7264.55 + 7669.09i 0.763553 + 0.806073i 0.985623 0.168958i \(-0.0540402\pi\)
−0.222071 + 0.975031i \(0.571282\pi\)
\(450\) 5949.48 5088.15i 0.623247 0.533017i
\(451\) 3368.71 5598.84i 0.351722 0.584566i
\(452\) −35343.8 16351.8i −3.67795 1.70160i
\(453\) 8154.68 5231.75i 0.845784 0.542624i
\(454\) −12279.6 11631.9i −1.26941 1.20245i
\(455\) 898.833 1325.68i 0.0926108 0.136591i
\(456\) 17140.5 19170.6i 1.76025 1.96874i
\(457\) 577.989 + 5314.52i 0.0591623 + 0.543988i 0.985787 + 0.168001i \(0.0537311\pi\)
−0.926625 + 0.375988i \(0.877303\pi\)
\(458\) 4730.73 + 7862.53i 0.482647 + 0.802166i
\(459\) 6042.59 5476.44i 0.614475 0.556902i
\(460\) 7530.90 + 22350.9i 0.763326 + 2.26547i
\(461\) 2176.89 + 9889.70i 0.219930 + 0.999152i 0.949138 + 0.314860i \(0.101958\pi\)
−0.729208 + 0.684292i \(0.760111\pi\)
\(462\) −1379.55 1710.32i −0.138923 0.172232i
\(463\) 11904.2 + 10111.5i 1.19489 + 1.01495i 0.999413 + 0.0342455i \(0.0109028\pi\)
0.195481 + 0.980707i \(0.437373\pi\)
\(464\) 10653.7 + 1746.58i 1.06591 + 0.174748i
\(465\) 11832.0 983.523i 1.17999 0.0980855i
\(466\) −6635.27 16653.3i −0.659599 1.65547i
\(467\) 18579.2 + 6260.08i 1.84100 + 0.620304i 0.996388 + 0.0849183i \(0.0270629\pi\)
0.844608 + 0.535385i \(0.179834\pi\)
\(468\) −22263.9 + 10391.6i −2.19903 + 1.02639i
\(469\) 580.187 + 1254.05i 0.0571227 + 0.123469i
\(470\) −6254.55 339.112i −0.613832 0.0332810i
\(471\) −16622.2 9360.87i −1.62614 0.915767i
\(472\) −26347.9 + 2579.69i −2.56941 + 0.251567i
\(473\) 7135.38i 0.693626i
\(474\) 9816.62 + 6251.39i 0.951250 + 0.605772i
\(475\) 4274.52 1977.60i 0.412902 0.191029i
\(476\) 489.504 4500.92i 0.0471353 0.433402i
\(477\) 7143.80 1597.73i 0.685727 0.153365i
\(478\) −21464.8 + 8552.37i −2.05393 + 0.818361i
\(479\) 921.453 624.761i 0.0878962 0.0595951i −0.516447 0.856319i \(-0.672746\pi\)
0.604344 + 0.796724i \(0.293435\pi\)
\(480\) 8674.92 10829.4i 0.824904 1.02978i
\(481\) 1256.11 1478.81i 0.119072 0.140183i
\(482\) 11863.9 29776.2i 1.12113 2.81383i
\(483\) 907.226 2972.52i 0.0854663 0.280030i
\(484\) 16948.9 5710.74i 1.59174 0.536321i
\(485\) −6820.98 8030.28i −0.638608 0.751827i
\(486\) −17772.2 8628.41i −1.65878 0.805335i
\(487\) 7776.25 845.718i 0.723564 0.0786923i 0.261076 0.965318i \(-0.415923\pi\)
0.462487 + 0.886626i \(0.346957\pi\)
\(488\) −9787.43 + 44464.8i −0.907902 + 4.12464i
\(489\) −1400.97 2812.87i −0.129558 0.260128i
\(490\) −9757.35 + 10300.7i −0.899575 + 0.949670i
\(491\) −2022.64 1072.34i −0.185907 0.0985619i 0.372855 0.927890i \(-0.378379\pi\)
−0.558763 + 0.829328i \(0.688724\pi\)
\(492\) −19072.2 26457.6i −1.74764 2.42439i
\(493\) 3559.46 + 2141.66i 0.325173 + 0.195650i
\(494\) −20664.6 + 3387.79i −1.88207 + 0.308550i
\(495\) 1188.22 4336.23i 0.107892 0.393735i
\(496\) −39921.6 + 11084.2i −3.61397 + 1.00341i
\(497\) 1035.62 1362.33i 0.0934685 0.122956i
\(498\) −795.773 5767.97i −0.0716053 0.519014i
\(499\) −5003.55 + 18021.2i −0.448877 + 1.61671i 0.299956 + 0.953953i \(0.403028\pi\)
−0.748834 + 0.662758i \(0.769386\pi\)
\(500\) 25523.1 13531.5i 2.28286 1.21029i
\(501\) −2440.09 + 4940.89i −0.217595 + 0.440604i
\(502\) −39712.3 + 2153.14i −3.53077 + 0.191433i
\(503\) 5768.16 + 10879.9i 0.511311 + 0.964436i 0.995966 + 0.0897300i \(0.0286004\pi\)
−0.484655 + 0.874706i \(0.661055\pi\)
\(504\) −6159.20 + 1732.47i −0.544351 + 0.153116i
\(505\) −9048.57 11903.2i −0.797339 1.04888i
\(506\) −12236.4 9301.83i −1.07504 0.817227i
\(507\) 247.733 + 61.1653i 0.0217006 + 0.00535788i
\(508\) −8849.66 + 8382.85i −0.772914 + 0.732143i
\(509\) 3267.08 + 19928.3i 0.284501 + 1.73538i 0.612295 + 0.790629i \(0.290246\pi\)
−0.327795 + 0.944749i \(0.606305\pi\)
\(510\) 11413.2 6478.16i 0.990952 0.562466i
\(511\) 860.384 1859.69i 0.0744836 0.160994i
\(512\) 10388.0 19593.9i 0.896661 1.69128i
\(513\) −8887.17 7892.31i −0.764870 0.679248i
\(514\) 8085.63 + 5482.20i 0.693856 + 0.470446i
\(515\) −5741.38 1263.77i −0.491253 0.108133i
\(516\) 32741.2 + 14018.9i 2.79331 + 1.19602i
\(517\) 2469.01 1485.55i 0.210032 0.126372i
\(518\) 660.153 560.739i 0.0559951 0.0475626i
\(519\) −3351.15 + 17625.0i −0.283428 + 1.49066i
\(520\) −22525.8 + 4958.31i −1.89966 + 0.418147i
\(521\) 1409.92 + 561.763i 0.118560 + 0.0472385i 0.428664 0.903464i \(-0.358985\pi\)
−0.310104 + 0.950703i \(0.600364\pi\)
\(522\) 1594.62 9936.41i 0.133706 0.833151i
\(523\) 2548.00 15542.1i 0.213033 1.29944i −0.636241 0.771490i \(-0.719512\pi\)
0.849274 0.527952i \(-0.177040\pi\)
\(524\) −18963.7 27969.4i −1.58098 2.33177i
\(525\) −1161.36 156.239i −0.0965447 0.0129883i
\(526\) 3179.48 9436.35i 0.263559 0.782214i
\(527\) −15848.8 1723.67i −1.31003 0.142475i
\(528\) −1247.00 + 15640.0i −0.102782 + 1.28910i
\(529\) 518.255 9558.65i 0.0425951 0.785621i
\(530\) 11780.3 0.965475
\(531\) 1233.35 + 12173.7i 0.100797 + 0.994907i
\(532\) −6598.65 −0.537759
\(533\) −838.772 + 15470.2i −0.0681637 + 1.25721i
\(534\) 973.691 12212.2i 0.0789059 0.989648i
\(535\) 6085.14 + 661.799i 0.491745 + 0.0534805i
\(536\) 6353.57 18856.7i 0.512001 1.51956i
\(537\) −12057.3 1622.08i −0.968919 0.130350i
\(538\) 25179.4 + 37136.8i 2.01777 + 2.97599i
\(539\) 1055.95 6441.01i 0.0843840 0.514720i
\(540\) −17562.6 13971.6i −1.39958 1.11341i
\(541\) 18593.7 + 7408.42i 1.47765 + 0.588748i 0.963203 0.268776i \(-0.0866193\pi\)
0.514443 + 0.857524i \(0.327999\pi\)
\(542\) 18549.7 4083.09i 1.47007 0.323586i
\(543\) 116.336 611.856i 0.00919423 0.0483559i
\(544\) −14200.2 + 12061.8i −1.11917 + 0.950631i
\(545\) 11390.1 6853.21i 0.895229 0.538641i
\(546\) 4789.51 + 2050.74i 0.375406 + 0.160739i
\(547\) −6861.19 1510.26i −0.536313 0.118052i −0.0614486 0.998110i \(-0.519572\pi\)
−0.474865 + 0.880059i \(0.657503\pi\)
\(548\) −6675.86 4526.34i −0.520399 0.352839i
\(549\) 20566.5 + 4454.40i 1.59883 + 0.346283i
\(550\) −2714.63 + 5120.33i −0.210459 + 0.396967i
\(551\) 2542.21 5494.90i 0.196555 0.424846i
\(552\) −38922.8 + 22092.7i −3.00120 + 1.70349i
\(553\) −281.836 1719.12i −0.0216725 0.132196i
\(554\) −19979.8 + 18925.8i −1.53224 + 1.45141i
\(555\) 1720.61 + 424.819i 0.131596 + 0.0324911i
\(556\) −41465.3 31521.1i −3.16281 2.40430i
\(557\) 4693.62 + 6174.35i 0.357047 + 0.469687i 0.939189 0.343400i \(-0.111579\pi\)
−0.582143 + 0.813087i \(0.697785\pi\)
\(558\) 10457.6 + 37178.5i 0.793382 + 2.82059i
\(559\) −7924.77 14947.7i −0.599610 1.13098i
\(560\) −5097.77 + 276.393i −0.384679 + 0.0208567i
\(561\) −2673.26 + 5413.02i −0.201185 + 0.407376i
\(562\) 3720.75 1972.61i 0.279271 0.148060i
\(563\) −3147.27 + 11335.5i −0.235598 + 0.848548i 0.747314 + 0.664471i \(0.231343\pi\)
−0.982912 + 0.184077i \(0.941071\pi\)
\(564\) −1965.69 14247.9i −0.146756 1.06373i
\(565\) −10225.7 + 13451.6i −0.761411 + 1.00162i
\(566\) 2954.22 820.235i 0.219391 0.0609135i
\(567\) 810.329 + 2844.03i 0.0600187 + 0.210649i
\(568\) −24318.9 + 3986.88i −1.79648 + 0.294517i
\(569\) 158.038 + 95.0886i 0.0116438 + 0.00700584i 0.521364 0.853334i \(-0.325423\pi\)
−0.509720 + 0.860340i \(0.670251\pi\)
\(570\) −11184.9 15516.1i −0.821902 1.14017i
\(571\) 16889.1 + 8954.04i 1.23781 + 0.656243i 0.953182 0.302397i \(-0.0977867\pi\)
0.284623 + 0.958639i \(0.408132\pi\)
\(572\) 12508.5 13205.0i 0.914344 0.965262i
\(573\) −848.070 1702.76i −0.0618301 0.124143i
\(574\) −1486.77 + 6754.48i −0.108113 + 0.491161i
\(575\) −8148.88 + 886.244i −0.591012 + 0.0642764i
\(576\) 11068.9 + 5820.67i 0.800704 + 0.421056i
\(577\) −9233.94 10871.0i −0.666229 0.784345i 0.320408 0.947280i \(-0.396180\pi\)
−0.986637 + 0.162934i \(0.947904\pi\)
\(578\) 7582.83 2554.95i 0.545682 0.183862i
\(579\) 6029.72 19756.3i 0.432792 1.41804i
\(580\) 4231.36 10619.9i 0.302927 0.760289i
\(581\) −564.240 + 664.275i −0.0402903 + 0.0474333i
\(582\) 21427.5 26749.2i 1.52612 1.90514i
\(583\) −4485.41 + 3041.18i −0.318639 + 0.216043i
\(584\) −27412.3 + 10922.1i −1.94235 + 0.773901i
\(585\) 2326.78 + 10403.5i 0.164445 + 0.735269i
\(586\) 2100.54 19314.2i 0.148076 1.36154i
\(587\) 21726.6 10051.8i 1.52769 0.706783i 0.537081 0.843531i \(-0.319527\pi\)
0.990606 + 0.136748i \(0.0436650\pi\)
\(588\) −27480.4 17499.9i −1.92733 1.22736i
\(589\) 23235.5i 1.62547i
\(590\) −2338.96 + 19551.6i −0.163209 + 1.36428i
\(591\) 3856.10 + 2171.58i 0.268390 + 0.151145i
\(592\) −6175.53 334.827i −0.428738 0.0232455i
\(593\) −8610.94 18612.3i −0.596305 1.28889i −0.937200 0.348792i \(-0.886592\pi\)
0.340895 0.940101i \(-0.389270\pi\)
\(594\) 14582.9 + 1113.27i 1.00732 + 0.0768989i
\(595\) −1861.59 627.244i −0.128265 0.0432176i
\(596\) −8414.63 21119.1i −0.578317 1.45147i
\(597\) −17219.5 + 1431.35i −1.18048 + 0.0981261i
\(598\) 35964.5 + 5896.07i 2.45936 + 0.403191i
\(599\) −220.551 187.338i −0.0150442 0.0127787i 0.639833 0.768514i \(-0.279004\pi\)
−0.654877 + 0.755736i \(0.727280\pi\)
\(600\) 10594.6 + 13134.8i 0.720868 + 0.893712i
\(601\) −602.952 2739.24i −0.0409233 0.185917i 0.951725 0.306953i \(-0.0993093\pi\)
−0.992648 + 0.121036i \(0.961378\pi\)
\(602\) −2411.54 7157.20i −0.163267 0.484561i
\(603\) −8725.31 2907.19i −0.589257 0.196335i
\(604\) 18457.6 + 30676.7i 1.24342 + 2.06659i
\(605\) −839.024 7714.70i −0.0563821 0.518425i
\(606\) 32418.6 36258.2i 2.17312 2.43051i
\(607\) −1674.11 + 2469.13i −0.111944 + 0.165105i −0.879534 0.475836i \(-0.842146\pi\)
0.767590 + 0.640942i \(0.221456\pi\)
\(608\) 19714.3 + 18674.4i 1.31500 + 1.24564i
\(609\) −1267.88 + 813.426i −0.0843630 + 0.0541243i
\(610\) 30734.3 + 14219.2i 2.04000 + 0.943802i
\(611\) −3522.35 + 5854.19i −0.233223 + 0.387619i
\(612\) 19585.9 + 22901.4i 1.29365 + 1.51264i
\(613\) −7509.97 7928.18i −0.494820 0.522376i 0.429975 0.902841i \(-0.358522\pi\)
−0.924795 + 0.380465i \(0.875764\pi\)
\(614\) 3668.61 + 13213.1i 0.241129 + 0.868468i
\(615\) −12990.3 + 5613.97i −0.851737 + 0.368093i
\(616\) 3770.77 2866.47i 0.246638 0.187489i
\(617\) −27746.9 7703.89i −1.81045 0.502669i −0.813561 0.581480i \(-0.802474\pi\)
−0.996890 + 0.0788113i \(0.974888\pi\)
\(618\) 485.633 19117.1i 0.0316101 1.24434i
\(619\) −467.423 8621.10i −0.0303511 0.559792i −0.973678 0.227928i \(-0.926805\pi\)
0.943327 0.331865i \(-0.107678\pi\)
\(620\) 2375.20 + 43808.0i 0.153855 + 2.83770i
\(621\) 10271.7 + 17955.4i 0.663748 + 1.16026i
\(622\) 52753.6 + 14647.0i 3.40069 + 0.944196i
\(623\) −1459.88 + 1109.77i −0.0938823 + 0.0713675i
\(624\) −14758.0 34148.8i −0.946783 2.19078i
\(625\) −1494.19 5381.58i −0.0956281 0.344421i
\(626\) −14672.5 15489.6i −0.936793 0.988960i
\(627\) 8264.35 + 3020.38i 0.526390 + 0.192380i
\(628\) 36342.7 60402.0i 2.30928 3.83806i
\(629\) −2159.79 999.226i −0.136910 0.0633414i
\(630\) 273.658 + 4751.07i 0.0173060 + 0.300456i
\(631\) −12206.3 11562.4i −0.770086 0.729464i 0.197968 0.980209i \(-0.436566\pi\)
−0.968053 + 0.250745i \(0.919325\pi\)
\(632\) −14078.5 + 20764.3i −0.886098 + 1.30690i
\(633\) 20881.0 + 18669.8i 1.31113 + 1.17229i
\(634\) −1837.73 16897.7i −0.115120 1.05851i
\(635\) 2726.76 + 4531.92i 0.170407 + 0.283218i
\(636\) 5142.18 + 26556.6i 0.320599 + 1.65572i
\(637\) 4941.50 + 14665.8i 0.307362 + 0.912216i
\(638\) 1601.54 + 7275.85i 0.0993816 + 0.451495i
\(639\) 1880.58 + 11233.8i 0.116424 + 0.695463i
\(640\) −942.972 800.968i −0.0582410 0.0494704i
\(641\) 11519.8 + 1888.58i 0.709837 + 0.116372i 0.505875 0.862607i \(-0.331170\pi\)
0.203962 + 0.978979i \(0.434618\pi\)
\(642\) 1649.41 + 19842.7i 0.101397 + 1.21983i
\(643\) 2512.08 + 6304.84i 0.154069 + 0.386685i 0.985669 0.168690i \(-0.0539538\pi\)
−0.831600 + 0.555376i \(0.812574\pi\)
\(644\) 10883.1 + 3666.93i 0.665921 + 0.224375i
\(645\) 8994.36 12566.4i 0.549073 0.767133i
\(646\) 10784.1 + 23309.5i 0.656804 + 1.41966i
\(647\) 7320.25 + 396.892i 0.444805 + 0.0241166i 0.275181 0.961392i \(-0.411262\pi\)
0.169623 + 0.985509i \(0.445745\pi\)
\(648\) 19693.6 37758.9i 1.19388 2.28906i
\(649\) −4156.86 8048.23i −0.251419 0.486781i
\(650\) 13741.4i 0.829202i
\(651\) 3105.30 4876.28i 0.186953 0.293574i
\(652\) 10538.7 4875.73i 0.633018 0.292865i
\(653\) 3014.33 27716.3i 0.180643 1.66098i −0.456115 0.889921i \(-0.650760\pi\)
0.636758 0.771063i \(-0.280275\pi\)
\(654\) 28929.8 + 32137.6i 1.72973 + 1.92153i
\(655\) −13620.7 + 5427.00i −0.812529 + 0.323741i
\(656\) 40874.1 27713.3i 2.43272 1.64942i
\(657\) 5090.79 + 12652.7i 0.302299 + 0.751339i
\(658\) −1974.48 + 2324.54i −0.116981 + 0.137720i
\(659\) 4121.87 10345.1i 0.243650 0.611515i −0.755392 0.655273i \(-0.772554\pi\)
0.999042 + 0.0437577i \(0.0139330\pi\)
\(660\) 15890.3 + 4849.78i 0.937165 + 0.286027i
\(661\) −13864.1 + 4671.36i −0.815811 + 0.274879i −0.696113 0.717932i \(-0.745089\pi\)
−0.119697 + 0.992810i \(0.538192\pi\)
\(662\) 11210.6 + 13198.2i 0.658178 + 0.774867i
\(663\) −411.741 14308.6i −0.0241187 0.838159i
\(664\) 12477.6 1357.02i 0.729254 0.0793111i
\(665\) −615.481 + 2796.16i −0.0358907 + 0.163053i
\(666\) −292.711 + 5757.64i −0.0170305 + 0.334991i
\(667\) −7246.40 + 7649.93i −0.420662 + 0.444087i
\(668\) −17990.7 9538.04i −1.04203 0.552452i
\(669\) −2936.98 + 2117.15i −0.169732 + 0.122352i
\(670\) −12681.7 7630.31i −0.731247 0.439977i
\(671\) −15373.1 + 2520.30i −0.884460 + 0.145000i
\(672\) −1641.59 6553.79i −0.0942344 0.376217i
\(673\) −25837.2 + 7173.68i −1.47987 + 0.410884i −0.911297 0.411749i \(-0.864918\pi\)
−0.568573 + 0.822633i \(0.692504\pi\)
\(674\) 2636.74 3468.57i 0.150688 0.198226i
\(675\) 6054.30 4917.17i 0.345230 0.280388i
\(676\) −252.255 + 908.540i −0.0143522 + 0.0516921i
\(677\) −16483.6 + 8739.06i −0.935771 + 0.496114i −0.865219 0.501394i \(-0.832821\pi\)
−0.0705517 + 0.997508i \(0.522476\pi\)
\(678\) −49282.4 24338.4i −2.79156 1.37863i
\(679\) −5122.74 + 277.747i −0.289533 + 0.0156980i
\(680\) 13250.8 + 24993.7i 0.747274 + 1.40951i
\(681\) −11936.0 11895.8i −0.671640 0.669381i
\(682\) −17302.7 22761.3i −0.971487 1.27797i
\(683\) 3917.17 + 2977.75i 0.219453 + 0.166824i 0.709125 0.705083i \(-0.249090\pi\)
−0.489672 + 0.871907i \(0.662883\pi\)
\(684\) 30096.2 31987.4i 1.68239 1.78811i
\(685\) −2540.71 + 2406.69i −0.141716 + 0.134240i
\(686\) 2291.69 + 13978.7i 0.127547 + 0.778002i
\(687\) 4512.78 + 7950.62i 0.250616 + 0.441536i
\(688\) −22643.4 + 48943.0i −1.25476 + 2.71211i
\(689\) 6018.72 11352.5i 0.332794 0.627716i
\(690\) 9824.65 + 31806.1i 0.542055 + 1.75484i
\(691\) 16943.8 + 11488.2i 0.932811 + 0.632461i 0.930010 0.367535i \(-0.119798\pi\)
0.00280101 + 0.999996i \(0.499108\pi\)
\(692\) −64744.6 14251.4i −3.55668 0.782883i
\(693\) −1330.73 1738.35i −0.0729440 0.0952879i
\(694\) 35598.8 21419.1i 1.94714 1.17155i
\(695\) −17224.6 + 14630.7i −0.940095 + 0.798524i
\(696\) 21311.1 + 4052.02i 1.16063 + 0.220678i
\(697\) 18557.7 4084.86i 1.00850 0.221987i
\(698\) 51341.2 + 20456.2i 2.78409 + 1.10928i
\(699\) −6187.26 16754.2i −0.334798 0.906585i
\(700\) 700.535 4273.07i 0.0378253 0.230724i
\(701\) 4587.74 + 6766.41i 0.247185 + 0.364570i 0.930959 0.365123i \(-0.118973\pi\)
−0.683774 + 0.729693i \(0.739663\pi\)
\(702\) −31785.8 + 13864.1i −1.70894 + 0.745394i
\(703\) −1107.47 + 3286.85i −0.0594153 + 0.176338i
\(704\) −9203.95 1000.99i −0.492737 0.0535884i
\(705\) −6220.83 495.995i −0.332327 0.0264968i
\(706\) −931.484 + 17180.2i −0.0496556 + 0.915843i
\(707\) −7280.41 −0.387281
\(708\) −45096.8 + 3261.67i −2.39385 + 0.173137i
\(709\) −20528.0 −1.08737 −0.543686 0.839289i \(-0.682972\pi\)
−0.543686 + 0.839289i \(0.682972\pi\)
\(710\) −992.347 + 18302.8i −0.0524537 + 0.967452i
\(711\) 9619.00 + 6474.63i 0.507371 + 0.341516i
\(712\) 26253.2 + 2855.21i 1.38185 + 0.150286i
\(713\) 12912.2 38322.0i 0.678212 2.01286i
\(714\) 851.993 6333.05i 0.0446569 0.331945i
\(715\) −4428.88 6532.10i −0.231651 0.341660i
\(716\) 7272.97 44363.1i 0.379614 2.31554i
\(717\) −21595.0 + 7974.92i −1.12480 + 0.415382i
\(718\) 6428.59 + 2561.38i 0.334141 + 0.133134i
\(719\) −1208.84 + 266.085i −0.0627010 + 0.0138015i −0.246210 0.969216i \(-0.579185\pi\)
0.183509 + 0.983018i \(0.441254\pi\)
\(720\) 21910.9 25972.4i 1.13412 1.34435i
\(721\) −2181.69 + 1853.15i −0.112691 + 0.0957209i
\(722\) 1422.37 855.811i 0.0733173 0.0441136i
\(723\) 12569.6 29356.3i 0.646567 1.51006i
\(724\) 2247.63 + 494.740i 0.115376 + 0.0253962i
\(725\) 3288.43 + 2229.61i 0.168454 + 0.114215i
\(726\) 24118.8 7450.11i 1.23297 0.380854i
\(727\) −448.702 + 846.341i −0.0228905 + 0.0431761i −0.894694 0.446681i \(-0.852606\pi\)
0.871803 + 0.489857i \(0.162951\pi\)
\(728\) −4715.69 + 10192.8i −0.240076 + 0.518916i
\(729\) −17482.5 9043.38i −0.888203 0.459452i
\(730\) 3550.77 + 21658.7i 0.180027 + 1.09812i
\(731\) −15064.7 + 14270.0i −0.762226 + 0.722019i
\(732\) −18639.0 + 75492.2i −0.941146 + 3.81185i
\(733\) −16530.7 12566.3i −0.832981 0.633216i 0.0992565 0.995062i \(-0.468354\pi\)
−0.932238 + 0.361846i \(0.882147\pi\)
\(734\) −624.847 821.972i −0.0314217 0.0413345i
\(735\) −9978.75 + 10012.4i −0.500778 + 0.502468i
\(736\) −22137.0 41754.8i −1.10867 2.09117i
\(737\) 6798.46 368.602i 0.339789 0.0184228i
\(738\) −25961.7 38014.1i −1.29493 1.89610i
\(739\) −15194.8 + 8055.80i −0.756362 + 0.400998i −0.801509 0.597983i \(-0.795969\pi\)
0.0451472 + 0.998980i \(0.485624\pi\)
\(740\) −1752.02 + 6310.21i −0.0870345 + 0.313470i
\(741\) −20667.3 + 2851.34i −1.02460 + 0.141358i
\(742\) 3471.29 4566.41i 0.171746 0.225927i
\(743\) 14877.0 4130.58i 0.734569 0.203952i 0.119954 0.992779i \(-0.461725\pi\)
0.614615 + 0.788827i \(0.289311\pi\)
\(744\) −80757.0 + 20227.9i −3.97943 + 0.996763i
\(745\) −9734.03 + 1595.81i −0.478695 + 0.0784780i
\(746\) −12890.1 7755.70i −0.632626 0.380639i
\(747\) −646.640 5764.92i −0.0316724 0.282366i
\(748\) −19709.8 10449.5i −0.963450 0.510789i
\(749\) 2049.65 2163.78i 0.0999899 0.105558i
\(750\) 36497.0 18177.5i 1.77691 0.885000i
\(751\) 1060.58 4818.27i 0.0515329 0.234116i −0.943813 0.330479i \(-0.892790\pi\)
0.995346 + 0.0963626i \(0.0307208\pi\)
\(752\) 21649.7 2354.54i 1.04984 0.114177i
\(753\) −39607.1 + 1139.73i −1.91682 + 0.0551579i
\(754\) −11435.8 13463.3i −0.552343 0.650269i
\(755\) 14720.8 4960.01i 0.709595 0.239090i
\(756\) −10591.0 + 2690.80i −0.509513 + 0.129449i
\(757\) 6104.70 15321.6i 0.293103 0.735633i −0.706507 0.707706i \(-0.749730\pi\)
0.999610 0.0279269i \(-0.00889058\pi\)
\(758\) −23565.4 + 27743.4i −1.12920 + 1.32940i
\(759\) −11951.8 9574.04i −0.571573 0.457860i
\(760\) 34126.1 23138.1i 1.62879 1.10435i
\(761\) −9922.98 + 3953.68i −0.472678 + 0.188332i −0.594298 0.804245i \(-0.702570\pi\)
0.121621 + 0.992577i \(0.461191\pi\)
\(762\) −12786.9 + 11510.6i −0.607903 + 0.547226i
\(763\) 699.807 6434.62i 0.0332041 0.305307i
\(764\) 6379.57 2951.50i 0.302101 0.139767i
\(765\) 11531.2 6163.36i 0.544984 0.291290i
\(766\) 36103.5i 1.70297i
\(767\) 17646.7 + 12243.3i 0.830750 + 0.576374i
\(768\) 11422.8 20283.7i 0.536701 0.953027i
\(769\) −5859.56 317.696i −0.274774 0.0148978i −0.0837629 0.996486i \(-0.526694\pi\)
−0.191011 + 0.981588i \(0.561177\pi\)
\(770\) −1479.29 3197.42i −0.0692335 0.149646i
\(771\) 7914.43 + 5664.74i 0.369690 + 0.264605i
\(772\) 72332.4 + 24371.6i 3.37215 + 1.13621i
\(773\) −2491.22 6252.48i −0.115916 0.290926i 0.859560