Properties

Label 63.4.o.a.20.16
Level $63$
Weight $4$
Character 63.20
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 63 = 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 63.o (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 20.16
Character \(\chi\) \(=\) 63.20
Dual form 63.4.o.a.41.16

$q$-expansion

\(f(q)\) \(=\) \(q+(1.93743 + 1.11857i) q^{2} +(5.00204 + 1.40697i) q^{3} +(-1.49759 - 2.59390i) q^{4} +(2.75758 + 4.77627i) q^{5} +(8.11730 + 8.32104i) q^{6} +(13.1049 + 13.0867i) q^{7} -24.5978i q^{8} +(23.0409 + 14.0754i) q^{9} +O(q^{10})\) \(q+(1.93743 + 1.11857i) q^{2} +(5.00204 + 1.40697i) q^{3} +(-1.49759 - 2.59390i) q^{4} +(2.75758 + 4.77627i) q^{5} +(8.11730 + 8.32104i) q^{6} +(13.1049 + 13.0867i) q^{7} -24.5978i q^{8} +(23.0409 + 14.0754i) q^{9} +12.3382i q^{10} +(-30.2441 - 17.4614i) q^{11} +(-3.84148 - 15.0818i) q^{12} +(-23.1532 + 13.3675i) q^{13} +(10.7514 + 40.0133i) q^{14} +(7.07349 + 27.7709i) q^{15} +(15.5338 - 26.9053i) q^{16} -35.9093 q^{17} +(28.8957 + 53.0430i) q^{18} -78.0198i q^{19} +(8.25943 - 14.3058i) q^{20} +(47.1389 + 83.8983i) q^{21} +(-39.0638 - 67.6605i) q^{22} +(-50.1284 + 28.9416i) q^{23} +(34.6083 - 123.039i) q^{24} +(47.2915 - 81.9113i) q^{25} -59.8102 q^{26} +(95.4480 + 102.824i) q^{27} +(14.3198 - 53.5913i) q^{28} +(-192.066 - 110.889i) q^{29} +(-17.3594 + 61.7163i) q^{30} +(-126.002 + 72.7471i) q^{31} +(-110.228 + 63.6400i) q^{32} +(-126.715 - 129.895i) q^{33} +(-69.5717 - 40.1672i) q^{34} +(-26.3676 + 98.6801i) q^{35} +(2.00440 - 80.8449i) q^{36} +290.956 q^{37} +(87.2708 - 151.158i) q^{38} +(-134.621 + 34.2892i) q^{39} +(117.486 - 67.8304i) q^{40} +(54.0606 + 93.6357i) q^{41} +(-2.51838 + 215.275i) q^{42} +(174.061 - 301.482i) q^{43} +104.600i q^{44} +(-3.69080 + 148.863i) q^{45} -129.493 q^{46} +(-125.545 + 217.450i) q^{47} +(115.555 - 112.726i) q^{48} +(0.477554 + 343.000i) q^{49} +(183.248 - 105.798i) q^{50} +(-179.620 - 50.5232i) q^{51} +(69.3480 + 40.0381i) q^{52} +160.173i q^{53} +(69.9077 + 305.979i) q^{54} -192.605i q^{55} +(321.904 - 322.352i) q^{56} +(109.771 - 390.258i) q^{57} +(-248.076 - 429.680i) q^{58} +(367.425 + 636.398i) q^{59} +(61.4417 - 59.9373i) q^{60} +(581.350 + 335.643i) q^{61} -325.492 q^{62} +(117.749 + 485.986i) q^{63} -533.284 q^{64} +(-127.694 - 73.7240i) q^{65} +(-100.203 - 393.402i) q^{66} +(344.364 + 596.455i) q^{67} +(53.7774 + 93.1452i) q^{68} +(-291.464 + 74.2385i) q^{69} +(-161.466 + 161.691i) q^{70} -577.396i q^{71} +(346.224 - 566.756i) q^{72} +37.4543i q^{73} +(563.705 + 325.455i) q^{74} +(351.801 - 343.187i) q^{75} +(-202.375 + 116.841i) q^{76} +(-167.834 - 624.626i) q^{77} +(-299.173 - 84.1509i) q^{78} +(-428.000 + 741.317i) q^{79} +171.342 q^{80} +(332.766 + 648.620i) q^{81} +241.883i q^{82} +(616.129 - 1067.17i) q^{83} +(147.029 - 247.918i) q^{84} +(-99.0228 - 171.513i) q^{85} +(674.460 - 389.400i) q^{86} +(-804.705 - 824.903i) q^{87} +(-429.513 + 743.939i) q^{88} -1505.64 q^{89} +(-173.665 + 284.284i) q^{90} +(-478.358 - 127.819i) q^{91} +(150.143 + 86.6853i) q^{92} +(-732.619 + 186.604i) q^{93} +(-486.467 + 280.862i) q^{94} +(372.643 - 215.146i) q^{95} +(-640.903 + 163.243i) q^{96} +(-1002.35 - 578.705i) q^{97} +(-382.745 + 665.071i) q^{98} +(-451.074 - 828.025i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 6q^{2} + 78q^{4} + 5q^{7} + O(q^{10}) \) \( 44q - 6q^{2} + 78q^{4} + 5q^{7} - 18q^{11} + 204q^{14} + 66q^{15} - 242q^{16} - 210q^{18} - 57q^{21} - 34q^{22} - 102q^{23} - 352q^{25} + 300q^{28} + 246q^{29} - 144q^{30} + 1068q^{32} - 1818q^{36} + 328q^{37} - 798q^{39} - 1158q^{42} - 170q^{43} + 968q^{46} - 79q^{49} + 288q^{50} - 204q^{51} + 1212q^{56} + 324q^{57} - 538q^{58} + 5316q^{60} + 783q^{63} - 808q^{64} + 4350q^{65} - 590q^{67} + 384q^{70} + 4284q^{72} - 5304q^{74} - 2787q^{77} + 612q^{78} - 302q^{79} - 3720q^{81} + 7050q^{84} - 612q^{85} - 13692q^{86} + 1294q^{88} + 210q^{91} - 10194q^{92} - 4266q^{93} + 6336q^{95} + 1014q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).

\(n\) \(10\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.93743 + 1.11857i 0.684983 + 0.395475i 0.801730 0.597686i \(-0.203913\pi\)
−0.116747 + 0.993162i \(0.537247\pi\)
\(3\) 5.00204 + 1.40697i 0.962644 + 0.270771i
\(4\) −1.49759 2.59390i −0.187198 0.324237i
\(5\) 2.75758 + 4.77627i 0.246645 + 0.427202i 0.962593 0.270952i \(-0.0873384\pi\)
−0.715948 + 0.698154i \(0.754005\pi\)
\(6\) 8.11730 + 8.32104i 0.552312 + 0.566175i
\(7\) 13.1049 + 13.0867i 0.707599 + 0.706614i
\(8\) 24.5978i 1.08708i
\(9\) 23.0409 + 14.0754i 0.853367 + 0.521311i
\(10\) 12.3382i 0.390169i
\(11\) −30.2441 17.4614i −0.828995 0.478620i 0.0245137 0.999699i \(-0.492196\pi\)
−0.853508 + 0.521079i \(0.825530\pi\)
\(12\) −3.84148 15.0818i −0.0924115 0.362813i
\(13\) −23.1532 + 13.3675i −0.493965 + 0.285191i −0.726218 0.687464i \(-0.758724\pi\)
0.232253 + 0.972656i \(0.425390\pi\)
\(14\) 10.7514 + 40.0133i 0.205245 + 0.763857i
\(15\) 7.07349 + 27.7709i 0.121758 + 0.478028i
\(16\) 15.5338 26.9053i 0.242715 0.420395i
\(17\) −35.9093 −0.512311 −0.256156 0.966636i \(-0.582456\pi\)
−0.256156 + 0.966636i \(0.582456\pi\)
\(18\) 28.8957 + 53.0430i 0.378376 + 0.694575i
\(19\) 78.0198i 0.942051i −0.882120 0.471025i \(-0.843884\pi\)
0.882120 0.471025i \(-0.156116\pi\)
\(20\) 8.25943 14.3058i 0.0923432 0.159943i
\(21\) 47.1389 + 83.8983i 0.489835 + 0.871815i
\(22\) −39.0638 67.6605i −0.378565 0.655694i
\(23\) −50.1284 + 28.9416i −0.454456 + 0.262380i −0.709710 0.704494i \(-0.751174\pi\)
0.255254 + 0.966874i \(0.417841\pi\)
\(24\) 34.6083 123.039i 0.294349 1.04647i
\(25\) 47.2915 81.9113i 0.378332 0.655291i
\(26\) −59.8102 −0.451144
\(27\) 95.4480 + 102.824i 0.680332 + 0.732904i
\(28\) 14.3198 53.5913i 0.0966493 0.361707i
\(29\) −192.066 110.889i −1.22985 0.710056i −0.262854 0.964836i \(-0.584664\pi\)
−0.966999 + 0.254779i \(0.917997\pi\)
\(30\) −17.3594 + 61.7163i −0.105646 + 0.375593i
\(31\) −126.002 + 72.7471i −0.730018 + 0.421476i −0.818429 0.574608i \(-0.805155\pi\)
0.0884105 + 0.996084i \(0.471821\pi\)
\(32\) −110.228 + 63.6400i −0.608928 + 0.351564i
\(33\) −126.715 129.895i −0.668430 0.685208i
\(34\) −69.5717 40.1672i −0.350925 0.202607i
\(35\) −26.3676 + 98.6801i −0.127341 + 0.476571i
\(36\) 2.00440 80.8449i 0.00927964 0.374282i
\(37\) 290.956 1.29278 0.646390 0.763008i \(-0.276278\pi\)
0.646390 + 0.763008i \(0.276278\pi\)
\(38\) 87.2708 151.158i 0.372558 0.645289i
\(39\) −134.621 + 34.2892i −0.552734 + 0.140786i
\(40\) 117.486 67.8304i 0.464403 0.268123i
\(41\) 54.0606 + 93.6357i 0.205923 + 0.356669i 0.950426 0.310949i \(-0.100647\pi\)
−0.744503 + 0.667619i \(0.767314\pi\)
\(42\) −2.51838 + 215.275i −0.00925226 + 0.790897i
\(43\) 174.061 301.482i 0.617303 1.06920i −0.372673 0.927963i \(-0.621559\pi\)
0.989976 0.141238i \(-0.0451082\pi\)
\(44\) 104.600i 0.358388i
\(45\) −3.69080 + 148.863i −0.0122265 + 0.493139i
\(46\) −129.493 −0.415060
\(47\) −125.545 + 217.450i −0.389630 + 0.674858i −0.992400 0.123057i \(-0.960730\pi\)
0.602770 + 0.797915i \(0.294064\pi\)
\(48\) 115.555 112.726i 0.347479 0.338970i
\(49\) 0.477554 + 343.000i 0.00139229 + 0.999999i
\(50\) 183.248 105.798i 0.518303 0.299242i
\(51\) −179.620 50.5232i −0.493173 0.138719i
\(52\) 69.3480 + 40.0381i 0.184939 + 0.106775i
\(53\) 160.173i 0.415122i 0.978222 + 0.207561i \(0.0665525\pi\)
−0.978222 + 0.207561i \(0.933448\pi\)
\(54\) 69.9077 + 305.979i 0.176171 + 0.771082i
\(55\) 192.605i 0.472198i
\(56\) 321.904 322.352i 0.768147 0.769217i
\(57\) 109.771 390.258i 0.255080 0.906859i
\(58\) −248.076 429.680i −0.561620 0.972754i
\(59\) 367.425 + 636.398i 0.810756 + 1.40427i 0.912336 + 0.409443i \(0.134277\pi\)
−0.101580 + 0.994827i \(0.532390\pi\)
\(60\) 61.4417 59.9373i 0.132202 0.128964i
\(61\) 581.350 + 335.643i 1.22023 + 0.704502i 0.964968 0.262368i \(-0.0845035\pi\)
0.255266 + 0.966871i \(0.417837\pi\)
\(62\) −325.492 −0.666734
\(63\) 117.749 + 485.986i 0.235475 + 0.971880i
\(64\) −533.284 −1.04157
\(65\) −127.694 73.7240i −0.243669 0.140682i
\(66\) −100.203 393.402i −0.186881 0.733704i
\(67\) 344.364 + 596.455i 0.627921 + 1.08759i 0.987968 + 0.154657i \(0.0494273\pi\)
−0.360047 + 0.932934i \(0.617239\pi\)
\(68\) 53.7774 + 93.1452i 0.0959039 + 0.166110i
\(69\) −291.464 + 74.2385i −0.508524 + 0.129526i
\(70\) −161.466 + 161.691i −0.275699 + 0.276083i
\(71\) 577.396i 0.965130i −0.875860 0.482565i \(-0.839705\pi\)
0.875860 0.482565i \(-0.160295\pi\)
\(72\) 346.224 566.756i 0.566707 0.927678i
\(73\) 37.4543i 0.0600506i 0.999549 + 0.0300253i \(0.00955879\pi\)
−0.999549 + 0.0300253i \(0.990441\pi\)
\(74\) 563.705 + 325.455i 0.885532 + 0.511262i
\(75\) 351.801 343.187i 0.541633 0.528370i
\(76\) −202.375 + 116.841i −0.305448 + 0.176350i
\(77\) −167.834 624.626i −0.248396 0.924451i
\(78\) −299.173 84.1509i −0.434291 0.122157i
\(79\) −428.000 + 741.317i −0.609541 + 1.05576i 0.381775 + 0.924255i \(0.375313\pi\)
−0.991316 + 0.131501i \(0.958020\pi\)
\(80\) 171.342 0.239458
\(81\) 332.766 + 648.620i 0.456469 + 0.889739i
\(82\) 241.883i 0.325750i
\(83\) 616.129 1067.17i 0.814806 1.41129i −0.0946603 0.995510i \(-0.530176\pi\)
0.909467 0.415777i \(-0.136490\pi\)
\(84\) 147.029 247.918i 0.190978 0.322025i
\(85\) −99.0228 171.513i −0.126359 0.218861i
\(86\) 674.460 389.400i 0.845685 0.488256i
\(87\) −804.705 824.903i −0.991649 1.01654i
\(88\) −429.513 + 743.939i −0.520299 + 0.901184i
\(89\) −1505.64 −1.79323 −0.896615 0.442811i \(-0.853981\pi\)
−0.896615 + 0.442811i \(0.853981\pi\)
\(90\) −173.665 + 284.284i −0.203399 + 0.332957i
\(91\) −478.358 127.819i −0.551050 0.147242i
\(92\) 150.143 + 86.6853i 0.170147 + 0.0982344i
\(93\) −732.619 + 186.604i −0.816871 + 0.208064i
\(94\) −486.467 + 280.862i −0.533780 + 0.308178i
\(95\) 372.643 215.146i 0.402446 0.232352i
\(96\) −640.903 + 163.243i −0.681374 + 0.173552i
\(97\) −1002.35 578.705i −1.04921 0.605759i −0.126778 0.991931i \(-0.540464\pi\)
−0.922427 + 0.386172i \(0.873797\pi\)
\(98\) −382.745 + 665.071i −0.394521 + 0.685533i
\(99\) −451.074 828.025i −0.457926 0.840603i
\(100\) −283.293 −0.283293
\(101\) −77.7834 + 134.725i −0.0766311 + 0.132729i −0.901794 0.432165i \(-0.857750\pi\)
0.825163 + 0.564894i \(0.191083\pi\)
\(102\) −291.487 298.803i −0.282956 0.290058i
\(103\) 1640.73 947.276i 1.56957 0.906193i 0.573354 0.819307i \(-0.305642\pi\)
0.996218 0.0868857i \(-0.0276915\pi\)
\(104\) 328.812 + 569.519i 0.310026 + 0.536980i
\(105\) −270.732 + 456.504i −0.251626 + 0.424288i
\(106\) −179.165 + 310.323i −0.164170 + 0.284351i
\(107\) 507.467i 0.458492i −0.973369 0.229246i \(-0.926374\pi\)
0.973369 0.229246i \(-0.0736260\pi\)
\(108\) 123.772 401.570i 0.110278 0.357787i
\(109\) 298.426 0.262239 0.131119 0.991367i \(-0.458143\pi\)
0.131119 + 0.991367i \(0.458143\pi\)
\(110\) 215.443 373.158i 0.186743 0.323448i
\(111\) 1455.37 + 409.365i 1.24449 + 0.350047i
\(112\) 555.669 149.306i 0.468802 0.125965i
\(113\) 216.173 124.808i 0.179964 0.103902i −0.407312 0.913289i \(-0.633534\pi\)
0.587276 + 0.809387i \(0.300200\pi\)
\(114\) 649.206 633.310i 0.533366 0.520306i
\(115\) −276.466 159.618i −0.224179 0.129430i
\(116\) 664.266i 0.531686i
\(117\) −721.625 17.8914i −0.570207 0.0141373i
\(118\) 1643.97i 1.28254i
\(119\) −470.589 469.934i −0.362511 0.362007i
\(120\) 683.104 173.992i 0.519655 0.132360i
\(121\) −55.6960 96.4683i −0.0418452 0.0724781i
\(122\) 750.882 + 1300.57i 0.557227 + 0.965145i
\(123\) 138.671 + 544.431i 0.101655 + 0.399103i
\(124\) 377.397 + 217.890i 0.273317 + 0.157799i
\(125\) 1211.03 0.866546
\(126\) −315.482 + 1073.27i −0.223058 + 0.758847i
\(127\) 1942.24 1.35706 0.678528 0.734574i \(-0.262618\pi\)
0.678528 + 0.734574i \(0.262618\pi\)
\(128\) −151.377 87.3976i −0.104531 0.0603510i
\(129\) 1294.84 1263.13i 0.883751 0.862112i
\(130\) −164.931 285.670i −0.111273 0.192730i
\(131\) 13.2642 + 22.9743i 0.00884655 + 0.0153227i 0.870415 0.492319i \(-0.163851\pi\)
−0.861568 + 0.507642i \(0.830517\pi\)
\(132\) −147.169 + 523.215i −0.0970409 + 0.345000i
\(133\) 1021.02 1022.44i 0.665667 0.666594i
\(134\) 1540.78i 0.993309i
\(135\) −227.907 + 739.429i −0.145297 + 0.471407i
\(136\) 883.291i 0.556924i
\(137\) −230.946 133.337i −0.144023 0.0831515i 0.426257 0.904602i \(-0.359832\pi\)
−0.570280 + 0.821451i \(0.693165\pi\)
\(138\) −647.732 182.193i −0.399555 0.112386i
\(139\) −444.807 + 256.810i −0.271425 + 0.156707i −0.629535 0.776972i \(-0.716755\pi\)
0.358110 + 0.933679i \(0.383421\pi\)
\(140\) 295.454 79.3871i 0.178360 0.0479245i
\(141\) −933.925 + 911.057i −0.557806 + 0.544148i
\(142\) 645.859 1118.66i 0.381685 0.661098i
\(143\) 933.665 0.545993
\(144\) 736.614 401.277i 0.426281 0.232221i
\(145\) 1223.14i 0.700528i
\(146\) −41.8954 + 72.5650i −0.0237486 + 0.0411337i
\(147\) −480.200 + 1716.37i −0.269430 + 0.963020i
\(148\) −435.732 754.709i −0.242006 0.419167i
\(149\) −1835.58 + 1059.77i −1.00924 + 0.582683i −0.910968 0.412477i \(-0.864664\pi\)
−0.0982688 + 0.995160i \(0.531331\pi\)
\(150\) 1065.47 271.384i 0.579967 0.147723i
\(151\) 1141.85 1977.74i 0.615380 1.06587i −0.374937 0.927050i \(-0.622336\pi\)
0.990318 0.138820i \(-0.0443309\pi\)
\(152\) −1919.12 −1.02408
\(153\) −827.383 505.439i −0.437189 0.267074i
\(154\) 373.524 1397.90i 0.195451 0.731468i
\(155\) −694.919 401.212i −0.360111 0.207910i
\(156\) 290.549 + 297.842i 0.149119 + 0.152862i
\(157\) −3179.20 + 1835.51i −1.61610 + 0.933057i −0.628186 + 0.778063i \(0.716202\pi\)
−0.987916 + 0.154993i \(0.950464\pi\)
\(158\) −1658.44 + 957.498i −0.835051 + 0.482117i
\(159\) −225.358 + 801.192i −0.112403 + 0.399614i
\(160\) −607.923 350.984i −0.300378 0.173423i
\(161\) −1035.68 276.737i −0.506974 0.135465i
\(162\) −80.8198 + 1628.88i −0.0391963 + 0.789979i
\(163\) 169.826 0.0816063 0.0408032 0.999167i \(-0.487008\pi\)
0.0408032 + 0.999167i \(0.487008\pi\)
\(164\) 161.921 280.455i 0.0770970 0.133536i
\(165\) 270.989 963.420i 0.127857 0.454558i
\(166\) 2387.41 1378.37i 1.11626 0.644472i
\(167\) −218.313 378.129i −0.101159 0.175213i 0.811003 0.585041i \(-0.198922\pi\)
−0.912162 + 0.409829i \(0.865588\pi\)
\(168\) 2063.72 1159.51i 0.947733 0.532490i
\(169\) −741.119 + 1283.66i −0.337332 + 0.584276i
\(170\) 443.057i 0.199888i
\(171\) 1098.16 1797.65i 0.491102 0.803915i
\(172\) −1042.69 −0.462233
\(173\) −827.732 + 1433.67i −0.363765 + 0.630059i −0.988577 0.150716i \(-0.951842\pi\)
0.624812 + 0.780775i \(0.285175\pi\)
\(174\) −636.341 2498.31i −0.277247 1.08849i
\(175\) 1691.70 454.552i 0.730745 0.196348i
\(176\) −939.610 + 542.484i −0.402419 + 0.232337i
\(177\) 942.484 + 3700.24i 0.400234 + 1.57134i
\(178\) −2917.07 1684.17i −1.22833 0.709178i
\(179\) 4545.28i 1.89793i −0.315376 0.948967i \(-0.602131\pi\)
0.315376 0.948967i \(-0.397869\pi\)
\(180\) 391.664 213.363i 0.162183 0.0883506i
\(181\) 69.4780i 0.0285318i −0.999898 0.0142659i \(-0.995459\pi\)
0.999898 0.0142659i \(-0.00454113\pi\)
\(182\) −783.808 782.717i −0.319229 0.318785i
\(183\) 2435.70 + 2496.84i 0.983892 + 1.00859i
\(184\) 711.901 + 1233.05i 0.285229 + 0.494030i
\(185\) 802.333 + 1389.68i 0.318858 + 0.552278i
\(186\) −1628.12 457.956i −0.641827 0.180532i
\(187\) 1086.05 + 627.029i 0.424703 + 0.245203i
\(188\) 752.057 0.291752
\(189\) −94.7814 + 2596.59i −0.0364779 + 0.999334i
\(190\) 962.625 0.367559
\(191\) 1216.59 + 702.396i 0.460885 + 0.266092i 0.712416 0.701757i \(-0.247601\pi\)
−0.251531 + 0.967849i \(0.580934\pi\)
\(192\) −2667.51 750.312i −1.00266 0.282027i
\(193\) −1156.04 2002.32i −0.431158 0.746787i 0.565815 0.824532i \(-0.308561\pi\)
−0.996973 + 0.0777446i \(0.975228\pi\)
\(194\) −1294.65 2242.40i −0.479125 0.829870i
\(195\) −535.002 548.431i −0.196473 0.201405i
\(196\) 888.991 514.911i 0.323976 0.187650i
\(197\) 1556.72i 0.563005i 0.959561 + 0.281502i \(0.0908327\pi\)
−0.959561 + 0.281502i \(0.909167\pi\)
\(198\) 52.2838 2108.80i 0.0187659 0.756898i
\(199\) 1187.87i 0.423146i 0.977362 + 0.211573i \(0.0678585\pi\)
−0.977362 + 0.211573i \(0.932141\pi\)
\(200\) −2014.84 1163.27i −0.712353 0.411277i
\(201\) 883.330 + 3468.00i 0.309977 + 1.21699i
\(202\) −301.399 + 174.013i −0.104982 + 0.0606114i
\(203\) −1065.83 3966.70i −0.368507 1.37147i
\(204\) 137.945 + 541.579i 0.0473435 + 0.185873i
\(205\) −298.153 + 516.416i −0.101580 + 0.175942i
\(206\) 4238.39 1.43351
\(207\) −1562.37 38.7361i −0.524600 0.0130065i
\(208\) 830.592i 0.276881i
\(209\) −1362.34 + 2359.64i −0.450885 + 0.780955i
\(210\) −1035.16 + 581.609i −0.340155 + 0.191118i
\(211\) −122.996 213.035i −0.0401298 0.0695069i 0.845263 0.534351i \(-0.179444\pi\)
−0.885393 + 0.464844i \(0.846110\pi\)
\(212\) 415.472 239.873i 0.134598 0.0777101i
\(213\) 812.376 2888.16i 0.261329 0.929077i
\(214\) 567.639 983.179i 0.181322 0.314059i
\(215\) 1919.95 0.609020
\(216\) 2529.24 2347.81i 0.796725 0.739576i
\(217\) −2603.26 695.599i −0.814381 0.217605i
\(218\) 578.178 + 333.811i 0.179629 + 0.103709i
\(219\) −52.6969 + 187.348i −0.0162600 + 0.0578074i
\(220\) −499.598 + 288.443i −0.153104 + 0.0883947i
\(221\) 831.417 480.019i 0.253064 0.146107i
\(222\) 2361.77 + 2421.06i 0.714018 + 0.731940i
\(223\) 951.393 + 549.287i 0.285695 + 0.164946i 0.635999 0.771690i \(-0.280588\pi\)
−0.350304 + 0.936636i \(0.613922\pi\)
\(224\) −2277.36 608.518i −0.679297 0.181510i
\(225\) 2242.57 1221.66i 0.664466 0.361974i
\(226\) 558.427 0.164363
\(227\) −2151.95 + 3727.29i −0.629208 + 1.08982i 0.358503 + 0.933528i \(0.383287\pi\)
−0.987711 + 0.156291i \(0.950046\pi\)
\(228\) −1176.68 + 299.711i −0.341788 + 0.0870564i
\(229\) −2476.51 + 1429.81i −0.714639 + 0.412597i −0.812776 0.582576i \(-0.802045\pi\)
0.0981371 + 0.995173i \(0.468712\pi\)
\(230\) −357.088 618.495i −0.102373 0.177315i
\(231\) 39.3131 3360.54i 0.0111975 0.957175i
\(232\) −2727.64 + 4724.40i −0.771888 + 1.33695i
\(233\) 2256.65i 0.634497i 0.948342 + 0.317249i \(0.102759\pi\)
−0.948342 + 0.317249i \(0.897241\pi\)
\(234\) −1378.08 841.853i −0.384991 0.235187i
\(235\) −1384.80 −0.384401
\(236\) 1100.50 1906.12i 0.303545 0.525755i
\(237\) −3183.88 + 3105.92i −0.872639 + 0.851271i
\(238\) −386.075 1436.85i −0.105149 0.391333i
\(239\) 1367.09 789.292i 0.370000 0.213620i −0.303458 0.952845i \(-0.598141\pi\)
0.673458 + 0.739225i \(0.264808\pi\)
\(240\) 857.062 + 241.073i 0.230513 + 0.0648382i
\(241\) 1248.30 + 720.708i 0.333652 + 0.192634i 0.657461 0.753488i \(-0.271630\pi\)
−0.323809 + 0.946122i \(0.604964\pi\)
\(242\) 249.200i 0.0661951i
\(243\) 751.924 + 3712.62i 0.198502 + 0.980101i
\(244\) 2010.62i 0.527527i
\(245\) −1636.94 + 948.129i −0.426858 + 0.247240i
\(246\) −340.321 + 1209.91i −0.0882035 + 0.313581i
\(247\) 1042.93 + 1806.41i 0.268664 + 0.465341i
\(248\) 1789.42 + 3099.37i 0.458179 + 0.793589i
\(249\) 4583.37 4471.14i 1.16650 1.13794i
\(250\) 2346.29 + 1354.63i 0.593570 + 0.342698i
\(251\) 2935.90 0.738296 0.369148 0.929371i \(-0.379650\pi\)
0.369148 + 0.929371i \(0.379650\pi\)
\(252\) 1084.26 1033.23i 0.271039 0.258284i
\(253\) 2021.45 0.502322
\(254\) 3762.95 + 2172.54i 0.929562 + 0.536683i
\(255\) −254.004 997.235i −0.0623779 0.244899i
\(256\) 1937.62 + 3356.05i 0.473051 + 0.819348i
\(257\) −3638.04 6301.27i −0.883015 1.52943i −0.847973 0.530040i \(-0.822177\pi\)
−0.0350420 0.999386i \(-0.511157\pi\)
\(258\) 3921.55 998.853i 0.946299 0.241030i
\(259\) 3812.95 + 3807.65i 0.914769 + 0.913496i
\(260\) 441.632i 0.105342i
\(261\) −2864.56 5258.40i −0.679355 1.24707i
\(262\) 59.3479i 0.0139944i
\(263\) 5830.68 + 3366.35i 1.36705 + 0.789269i 0.990551 0.137146i \(-0.0437930\pi\)
0.376503 + 0.926415i \(0.377126\pi\)
\(264\) −3195.14 + 3116.91i −0.744876 + 0.726637i
\(265\) −765.029 + 441.689i −0.177341 + 0.102388i
\(266\) 3121.83 838.821i 0.719592 0.193351i
\(267\) −7531.28 2118.38i −1.72624 0.485554i
\(268\) 1031.43 1786.49i 0.235092 0.407191i
\(269\) 7501.34 1.70024 0.850121 0.526588i \(-0.176529\pi\)
0.850121 + 0.526588i \(0.176529\pi\)
\(270\) −1268.66 + 1177.66i −0.285956 + 0.265444i
\(271\) 4621.90i 1.03602i −0.855376 0.518008i \(-0.826674\pi\)
0.855376 0.518008i \(-0.173326\pi\)
\(272\) −557.807 + 966.150i −0.124346 + 0.215373i
\(273\) −2212.93 1312.39i −0.490596 0.290950i
\(274\) −298.294 516.661i −0.0657687 0.113915i
\(275\) −2860.58 + 1651.56i −0.627271 + 0.362155i
\(276\) 629.060 + 644.850i 0.137192 + 0.140636i
\(277\) 982.366 1701.51i 0.213085 0.369075i −0.739593 0.673054i \(-0.764982\pi\)
0.952679 + 0.303980i \(0.0983154\pi\)
\(278\) −1149.04 −0.247895
\(279\) −3927.14 97.3663i −0.842694 0.0208931i
\(280\) 2427.32 + 648.586i 0.518071 + 0.138430i
\(281\) 1702.23 + 982.785i 0.361376 + 0.208641i 0.669684 0.742646i \(-0.266429\pi\)
−0.308308 + 0.951287i \(0.599763\pi\)
\(282\) −2828.50 + 720.442i −0.597285 + 0.152134i
\(283\) −4621.27 + 2668.09i −0.970692 + 0.560429i −0.899447 0.437030i \(-0.856030\pi\)
−0.0712447 + 0.997459i \(0.522697\pi\)
\(284\) −1497.71 + 864.701i −0.312931 + 0.180671i
\(285\) 2166.68 551.872i 0.450327 0.114702i
\(286\) 1808.91 + 1044.37i 0.373996 + 0.215927i
\(287\) −516.921 + 1934.56i −0.106317 + 0.397887i
\(288\) −3435.50 85.1771i −0.702913 0.0174275i
\(289\) −3623.52 −0.737537
\(290\) 1368.18 2369.75i 0.277042 0.479850i
\(291\) −4199.57 4304.98i −0.845989 0.867224i
\(292\) 97.1527 56.0911i 0.0194707 0.0112414i
\(293\) 1032.50 + 1788.34i 0.205867 + 0.356572i 0.950409 0.311004i \(-0.100665\pi\)
−0.744542 + 0.667576i \(0.767332\pi\)
\(294\) −2850.24 + 2788.20i −0.565406 + 0.553100i
\(295\) −2026.40 + 3509.83i −0.399938 + 0.692713i
\(296\) 7156.88i 1.40535i
\(297\) −1091.29 4776.47i −0.213209 0.933194i
\(298\) −4741.73 −0.921748
\(299\) 773.756 1340.18i 0.149657 0.259214i
\(300\) −1417.04 398.583i −0.272710 0.0767074i
\(301\) 6226.46 1673.02i 1.19232 0.320370i
\(302\) 4424.50 2554.49i 0.843051 0.486736i
\(303\) −578.629 + 564.461i −0.109708 + 0.107021i
\(304\) −2099.14 1211.94i −0.396033 0.228650i
\(305\) 3702.24i 0.695049i
\(306\) −1037.62 1904.74i −0.193846 0.355839i
\(307\) 395.602i 0.0735446i −0.999324 0.0367723i \(-0.988292\pi\)
0.999324 0.0367723i \(-0.0117076\pi\)
\(308\) −1368.87 + 1370.78i −0.253242 + 0.253595i
\(309\) 9539.79 2429.87i 1.75631 0.447347i
\(310\) −897.569 1554.64i −0.164447 0.284830i
\(311\) −3155.13 5464.85i −0.575277 0.996409i −0.996011 0.0892250i \(-0.971561\pi\)
0.420735 0.907184i \(-0.361772\pi\)
\(312\) 843.438 + 3311.39i 0.153046 + 0.600866i
\(313\) −8787.97 5073.73i −1.58698 0.916244i −0.993801 0.111175i \(-0.964539\pi\)
−0.593180 0.805070i \(-0.702128\pi\)
\(314\) −8212.62 −1.47600
\(315\) −1996.50 + 1902.54i −0.357111 + 0.340305i
\(316\) 2563.87 0.456421
\(317\) 1537.07 + 887.426i 0.272335 + 0.157233i 0.629948 0.776637i \(-0.283076\pi\)
−0.357613 + 0.933870i \(0.616409\pi\)
\(318\) −1332.81 + 1300.17i −0.235032 + 0.229277i
\(319\) 3872.58 + 6707.50i 0.679695 + 1.17727i
\(320\) −1470.57 2547.11i −0.256898 0.444961i
\(321\) 713.988 2538.37i 0.124146 0.441365i
\(322\) −1697.00 1694.64i −0.293696 0.293287i
\(323\) 2801.64i 0.482623i
\(324\) 1184.11 1834.53i 0.203036 0.314562i
\(325\) 2528.68i 0.431588i
\(326\) 329.026 + 189.963i 0.0558990 + 0.0322733i
\(327\) 1492.74 + 419.875i 0.252443 + 0.0710065i
\(328\) 2303.23 1329.77i 0.387728 0.223855i
\(329\) −4490.95 + 1206.70i −0.752566 + 0.202211i
\(330\) 1602.68 1563.43i 0.267347 0.260801i
\(331\) −2397.72 + 4152.98i −0.398160 + 0.689633i −0.993499 0.113842i \(-0.963684\pi\)
0.595339 + 0.803474i \(0.297018\pi\)
\(332\) −3690.83 −0.610122
\(333\) 6703.88 + 4095.32i 1.10321 + 0.673940i
\(334\) 976.796i 0.160024i
\(335\) −1899.22 + 3289.54i −0.309748 + 0.536498i
\(336\) 2989.55 + 34.9731i 0.485397 + 0.00567839i
\(337\) −3694.91 6399.77i −0.597253 1.03447i −0.993225 0.116210i \(-0.962925\pi\)
0.395971 0.918263i \(-0.370408\pi\)
\(338\) −2871.72 + 1657.99i −0.462134 + 0.266813i
\(339\) 1256.91 320.146i 0.201374 0.0512918i
\(340\) −296.591 + 513.710i −0.0473085 + 0.0819407i
\(341\) 5081.08 0.806908
\(342\) 4138.40 2254.43i 0.654325 0.356450i
\(343\) −4482.47 + 4501.23i −0.705628 + 0.708582i
\(344\) −7415.81 4281.52i −1.16231 0.671058i
\(345\) −1158.32 1187.39i −0.180759 0.185296i
\(346\) −3207.34 + 1851.76i −0.498346 + 0.287720i
\(347\) 1565.28 903.715i 0.242157 0.139810i −0.374010 0.927424i \(-0.622018\pi\)
0.616168 + 0.787615i \(0.288684\pi\)
\(348\) −934.599 + 3322.69i −0.143965 + 0.511824i
\(349\) 5094.40 + 2941.25i 0.781367 + 0.451122i 0.836914 0.547334i \(-0.184357\pi\)
−0.0555477 + 0.998456i \(0.517690\pi\)
\(350\) 3785.99 + 1011.63i 0.578199 + 0.154497i
\(351\) −3584.43 1104.79i −0.545078 0.168004i
\(352\) 4444.98 0.673064
\(353\) 1196.54 2072.48i 0.180413 0.312484i −0.761609 0.648037i \(-0.775590\pi\)
0.942021 + 0.335554i \(0.108923\pi\)
\(354\) −2313.00 + 8223.19i −0.347273 + 1.23463i
\(355\) 2757.80 1592.21i 0.412306 0.238045i
\(356\) 2254.83 + 3905.48i 0.335690 + 0.581432i
\(357\) −1692.73 3012.73i −0.250948 0.446641i
\(358\) 5084.23 8806.14i 0.750586 1.30005i
\(359\) 10728.4i 1.57723i −0.614887 0.788615i \(-0.710798\pi\)
0.614887 0.788615i \(-0.289202\pi\)
\(360\) 3661.72 + 90.7857i 0.536082 + 0.0132912i
\(361\) 771.915 0.112540
\(362\) 77.7162 134.608i 0.0112836 0.0195438i
\(363\) −142.866 560.901i −0.0206571 0.0811011i
\(364\) 384.834 + 1432.23i 0.0554142 + 0.206234i
\(365\) −178.892 + 103.283i −0.0256538 + 0.0148112i
\(366\) 1926.09 + 7561.95i 0.275078 + 1.07997i
\(367\) −4743.12 2738.44i −0.674630 0.389498i 0.123199 0.992382i \(-0.460685\pi\)
−0.797829 + 0.602884i \(0.794018\pi\)
\(368\) 1798.29i 0.254735i
\(369\) −72.3559 + 2918.38i −0.0102078 + 0.411720i
\(370\) 3589.87i 0.504402i
\(371\) −2096.13 + 2099.05i −0.293331 + 0.293740i
\(372\) 1581.19 + 1620.88i 0.220379 + 0.225911i
\(373\) −6052.38 10483.0i −0.840162 1.45520i −0.889757 0.456434i \(-0.849127\pi\)
0.0495956 0.998769i \(-0.484207\pi\)
\(374\) 1402.76 + 2429.64i 0.193943 + 0.335920i
\(375\) 6057.65 + 1703.88i 0.834175 + 0.234635i
\(376\) 5348.80 + 3088.13i 0.733625 + 0.423559i
\(377\) 5929.26 0.810007
\(378\) −3088.11 + 4924.68i −0.420199 + 0.670101i
\(379\) 2.33509 0.000316479 0.000158240 1.00000i \(-0.499950\pi\)
0.000158240 1.00000i \(0.499950\pi\)
\(380\) −1116.13 644.399i −0.150675 0.0869920i
\(381\) 9715.19 + 2732.67i 1.30636 + 0.367451i
\(382\) 1571.36 + 2721.68i 0.210466 + 0.364537i
\(383\) 4098.57 + 7098.93i 0.546807 + 0.947097i 0.998491 + 0.0549191i \(0.0174901\pi\)
−0.451684 + 0.892178i \(0.649177\pi\)
\(384\) −634.230 650.149i −0.0842849 0.0864005i
\(385\) 2520.56 2524.07i 0.333662 0.334127i
\(386\) 5172.45i 0.682049i
\(387\) 8254.01 4496.45i 1.08417 0.590613i
\(388\) 3466.65i 0.453588i
\(389\) −4487.63 2590.94i −0.584915 0.337701i 0.178169 0.984000i \(-0.442983\pi\)
−0.763084 + 0.646299i \(0.776316\pi\)
\(390\) −423.067 1660.98i −0.0549303 0.215660i
\(391\) 1800.08 1039.28i 0.232823 0.134420i
\(392\) 8437.04 11.7468i 1.08708 0.00151353i
\(393\) 34.0241 + 133.580i 0.00436715 + 0.0171457i
\(394\) −1741.31 + 3016.04i −0.222655 + 0.385649i
\(395\) −4720.97 −0.601362
\(396\) −1472.29 + 2410.08i −0.186832 + 0.305836i
\(397\) 6757.41i 0.854269i 0.904188 + 0.427135i \(0.140477\pi\)
−0.904188 + 0.427135i \(0.859523\pi\)
\(398\) −1328.72 + 2301.41i −0.167344 + 0.289848i
\(399\) 6545.73 3677.76i 0.821294 0.461450i
\(400\) −1469.23 2544.78i −0.183654 0.318098i
\(401\) −7670.47 + 4428.55i −0.955225 + 0.551499i −0.894700 0.446667i \(-0.852611\pi\)
−0.0605248 + 0.998167i \(0.519277\pi\)
\(402\) −2167.83 + 7707.07i −0.268959 + 0.956203i
\(403\) 1944.90 3368.66i 0.240403 0.416389i
\(404\) 465.950 0.0573809
\(405\) −2180.35 + 3378.00i −0.267513 + 0.414455i
\(406\) 2372.07 8877.40i 0.289960 1.08517i
\(407\) −8799.70 5080.51i −1.07171 0.618750i
\(408\) −1242.76 + 4418.26i −0.150799 + 0.536119i
\(409\) 9564.59 5522.12i 1.15633 0.667607i 0.205907 0.978571i \(-0.433985\pi\)
0.950421 + 0.310965i \(0.100652\pi\)
\(410\) −1155.30 + 667.011i −0.139161 + 0.0803447i
\(411\) −967.604 991.891i −0.116127 0.119042i
\(412\) −4914.28 2837.26i −0.587643 0.339276i
\(413\) −3513.27 + 13148.3i −0.418588 + 1.56655i
\(414\) −2983.64 1822.67i −0.354198 0.216375i
\(415\) 6796.10 0.803873
\(416\) 1701.42 2946.94i 0.200526 0.347321i
\(417\) −2586.27 + 658.745i −0.303717 + 0.0773594i
\(418\) −5278.86 + 3047.75i −0.617697 + 0.356628i
\(419\) −4827.28 8361.09i −0.562835 0.974859i −0.997247 0.0741448i \(-0.976377\pi\)
0.434412 0.900714i \(-0.356956\pi\)
\(420\) 1589.57 + 18.5955i 0.184674 + 0.00216040i
\(421\) 1311.18 2271.02i 0.151788 0.262905i −0.780097 0.625659i \(-0.784830\pi\)
0.931885 + 0.362754i \(0.118164\pi\)
\(422\) 550.320i 0.0634814i
\(423\) −5953.36 + 3243.15i −0.684308 + 0.372783i
\(424\) 3939.91 0.451271
\(425\) −1698.21 + 2941.38i −0.193824 + 0.335713i
\(426\) 4804.53 4686.89i 0.546433 0.533053i
\(427\) 3226.10 + 12006.5i 0.365625 + 1.36074i
\(428\) −1316.32 + 759.976i −0.148660 + 0.0858290i
\(429\) 4670.23 + 1313.63i 0.525597 + 0.147839i
\(430\) 3719.75 + 2147.60i 0.417168 + 0.240852i
\(431\) 2142.38i 0.239431i −0.992808 0.119716i \(-0.961802\pi\)
0.992808 0.119716i \(-0.0381983\pi\)
\(432\) 4249.16 970.817i 0.473236 0.108121i
\(433\) 8576.98i 0.951925i −0.879466 0.475962i \(-0.842100\pi\)
0.879466 0.475962i \(-0.157900\pi\)
\(434\) −4265.54 4259.61i −0.471780 0.471124i
\(435\) 1720.92 6118.22i 0.189682 0.674359i
\(436\) −446.919 774.086i −0.0490907 0.0850276i
\(437\) 2258.02 + 3911.01i 0.247176 + 0.428121i
\(438\) −311.659 + 304.028i −0.0339992 + 0.0331667i
\(439\) −6408.01 3699.67i −0.696669 0.402222i 0.109437 0.993994i \(-0.465095\pi\)
−0.806106 + 0.591772i \(0.798429\pi\)
\(440\) −4737.67 −0.513317
\(441\) −4816.86 + 7909.74i −0.520123 + 0.854092i
\(442\) 2147.75 0.231126
\(443\) 12279.2 + 7089.41i 1.31694 + 0.760334i 0.983235 0.182345i \(-0.0583687\pi\)
0.333702 + 0.942679i \(0.391702\pi\)
\(444\) −1117.70 4388.15i −0.119468 0.469037i
\(445\) −4151.92 7191.33i −0.442292 0.766072i
\(446\) 1228.84 + 2128.41i 0.130464 + 0.225971i
\(447\) −10672.7 + 2718.43i −1.12931 + 0.287645i
\(448\) −6988.64 6978.92i −0.737014 0.735989i
\(449\) 6800.58i 0.714787i 0.933954 + 0.357393i \(0.116334\pi\)
−0.933954 + 0.357393i \(0.883666\pi\)
\(450\) 5711.34 + 141.602i 0.598300 + 0.0148338i
\(451\) 3775.90i 0.394236i
\(452\) −647.477 373.821i −0.0673778 0.0389006i
\(453\) 8494.20 8286.21i 0.880998 0.859426i
\(454\) −8338.50 + 4814.23i −0.861994 + 0.497672i
\(455\) −708.613 2637.23i −0.0730116 0.271726i
\(456\) −9599.50 2700.13i −0.985829 0.277292i
\(457\) 1885.91 3266.49i 0.193040 0.334355i −0.753216 0.657773i \(-0.771499\pi\)
0.946256 + 0.323418i \(0.104832\pi\)
\(458\) −6397.41 −0.652688
\(459\) −3427.47 3692.33i −0.348542 0.375475i
\(460\) 956.166i 0.0969162i
\(461\) 7807.12 13522.3i 0.788750 1.36616i −0.137983 0.990435i \(-0.544062\pi\)
0.926733 0.375721i \(-0.122605\pi\)
\(462\) 3835.18 6466.83i 0.386209 0.651221i
\(463\) −4055.66 7024.62i −0.407090 0.705101i 0.587472 0.809244i \(-0.300123\pi\)
−0.994562 + 0.104144i \(0.966790\pi\)
\(464\) −5967.01 + 3445.06i −0.597008 + 0.344683i
\(465\) −2911.52 2984.61i −0.290363 0.297651i
\(466\) −2524.23 + 4372.09i −0.250928 + 0.434620i
\(467\) −6607.80 −0.654759 −0.327380 0.944893i \(-0.606166\pi\)
−0.327380 + 0.944893i \(0.606166\pi\)
\(468\) 1034.29 + 1898.61i 0.102158 + 0.187529i
\(469\) −3292.76 + 12323.1i −0.324191 + 1.21328i
\(470\) −2682.94 1549.00i −0.263309 0.152021i
\(471\) −18485.0 + 4708.29i −1.80837 + 0.460608i
\(472\) 15654.0 9037.84i 1.52655 0.881357i
\(473\) −10528.6 + 6078.71i −1.02348 + 0.590908i
\(474\) −9642.74 + 2456.09i −0.934400 + 0.238000i
\(475\) −6390.70 3689.67i −0.617317 0.356408i
\(476\) −514.213 + 1924.43i −0.0495145 + 0.185307i
\(477\) −2254.50 + 3690.53i −0.216408 + 0.354251i
\(478\) 3531.53 0.337925
\(479\) −4138.13 + 7167.45i −0.394731 + 0.683694i −0.993067 0.117552i \(-0.962495\pi\)
0.598336 + 0.801245i \(0.295829\pi\)
\(480\) −2547.03 2610.97i −0.242199 0.248279i
\(481\) −6736.57 + 3889.36i −0.638588 + 0.368689i
\(482\) 1612.33 + 2792.64i 0.152364 + 0.263903i
\(483\) −4791.15 2841.41i −0.451356 0.267678i
\(484\) −166.819 + 288.940i −0.0156667 + 0.0271356i
\(485\) 6383.30i 0.597630i
\(486\) −2696.04 + 8034.00i −0.251635 + 0.749855i
\(487\) 229.243 0.0213306 0.0106653 0.999943i \(-0.496605\pi\)
0.0106653 + 0.999943i \(0.496605\pi\)
\(488\) 8256.08 14299.9i 0.765851 1.32649i
\(489\) 849.479 + 238.940i 0.0785578 + 0.0220966i
\(490\) −4232.00 + 5.89216i −0.390168 + 0.000543226i
\(491\) 17923.6 10348.2i 1.64742 0.951138i 0.669326 0.742969i \(-0.266583\pi\)
0.978093 0.208169i \(-0.0667505\pi\)
\(492\) 1204.53 1175.03i 0.110375 0.107672i
\(493\) 6896.96 + 3981.96i 0.630068 + 0.363770i
\(494\) 4666.38i 0.425001i
\(495\) 2711.00 4437.80i 0.246162 0.402958i
\(496\) 4520.14i 0.409195i
\(497\) 7556.19 7566.72i 0.681975 0.682925i
\(498\) 13881.2 3535.67i 1.24906 0.318147i
\(499\) 6552.36 + 11349.0i 0.587824 + 1.01814i 0.994517 + 0.104576i \(0.0333485\pi\)
−0.406693 + 0.913565i \(0.633318\pi\)
\(500\) −1813.63 3141.30i −0.162216 0.280966i
\(501\) −559.997 2198.58i −0.0499377 0.196058i
\(502\) 5688.08 + 3284.02i 0.505720 + 0.291978i
\(503\) 7415.97 0.657379 0.328690 0.944438i \(-0.393393\pi\)
0.328690 + 0.944438i \(0.393393\pi\)
\(504\) 11954.2 2896.36i 1.05651 0.255980i
\(505\) −857.975 −0.0756028
\(506\) 3916.41 + 2261.14i 0.344082 + 0.198656i
\(507\) −5513.17 + 5378.17i −0.482936 + 0.471110i
\(508\) −2908.68 5037.98i −0.254039 0.440008i
\(509\) 10536.9 + 18250.5i 0.917565 + 1.58927i 0.803103 + 0.595841i \(0.203181\pi\)
0.114462 + 0.993428i \(0.463486\pi\)
\(510\) 623.366 2216.19i 0.0541237 0.192421i
\(511\) −490.153 + 490.836i −0.0424327 + 0.0424918i
\(512\) 10067.8i 0.869021i
\(513\) 8022.27 7446.83i 0.690433 0.640908i
\(514\) 16277.7i 1.39684i
\(515\) 9048.89 + 5224.38i 0.774255 + 0.447017i
\(516\) −5215.56 1467.02i −0.444966 0.125159i
\(517\) 7593.98 4384.39i 0.646002 0.372969i
\(518\) 3128.18 + 11642.1i 0.265336 + 0.987499i
\(519\) −6157.48 + 6006.71i −0.520777 + 0.508026i
\(520\) −1813.45 + 3140.99i −0.152933 + 0.264887i
\(521\) −19991.7 −1.68110 −0.840548 0.541736i \(-0.817767\pi\)
−0.840548 + 0.541736i \(0.817767\pi\)
\(522\) 332.030 13392.0i 0.0278401 1.12289i
\(523\) 3604.15i 0.301336i 0.988584 + 0.150668i \(0.0481424\pi\)
−0.988584 + 0.150668i \(0.951858\pi\)
\(524\) 39.7286 68.8119i 0.00331212 0.00573676i
\(525\) 9101.49 + 106.473i 0.756613 + 0.00885119i
\(526\) 7531.01 + 13044.1i 0.624273 + 1.08127i
\(527\) 4524.64 2612.30i 0.373997 0.215927i
\(528\) −5463.22 + 1391.53i −0.450296 + 0.114694i
\(529\) −4408.26 + 7635.34i −0.362313 + 0.627545i
\(530\) −1976.25 −0.161967
\(531\) −491.769 + 19834.8i −0.0401901 + 1.62101i
\(532\) −4181.18 1117.22i −0.340746 0.0910485i
\(533\) −2503.35 1445.31i −0.203438 0.117455i
\(534\) −12221.7 12528.5i −0.990423 1.01528i
\(535\) 2423.80 1399.38i 0.195869 0.113085i
\(536\) 14671.5 8470.59i 1.18230 0.682601i
\(537\) 6395.05 22735.7i 0.513905 1.82703i
\(538\) 14533.3 + 8390.80i 1.16464 + 0.672404i
\(539\) 5974.83 10382.1i 0.477466 0.829660i
\(540\) 2259.31 516.191i 0.180047 0.0411358i
\(541\) −13211.0 −1.04988 −0.524939 0.851140i \(-0.675912\pi\)
−0.524939 + 0.851140i \(0.675912\pi\)
\(542\) 5169.93 8954.58i 0.409719 0.709654i
\(543\) 97.7531 347.532i 0.00772557 0.0274660i
\(544\) 3958.20 2285.27i 0.311961 0.180111i
\(545\) 822.933 + 1425.36i 0.0646799 + 0.112029i
\(546\) −2819.39 5017.98i −0.220986 0.393314i
\(547\) −8858.54 + 15343.4i −0.692439 + 1.19934i 0.278598 + 0.960408i \(0.410130\pi\)
−0.971037 + 0.238931i \(0.923203\pi\)
\(548\) 798.735i 0.0622633i
\(549\) 8670.52 + 15916.3i 0.674042 + 1.23732i
\(550\) −7389.55 −0.572893
\(551\) −8651.56 + 14984.9i −0.668909 + 1.15858i
\(552\) 1826.10 + 7169.39i 0.140805 + 0.552807i
\(553\) −15310.3 + 4113.80i −1.17732 + 0.316341i
\(554\) 3806.52 2197.70i 0.291920 0.168540i
\(555\) 2058.07 + 8080.11i 0.157406 + 0.617984i
\(556\) 1332.28 + 769.190i 0.101621 + 0.0586707i
\(557\) 13013.3i 0.989933i −0.868912 0.494966i \(-0.835180\pi\)
0.868912 0.494966i \(-0.164820\pi\)
\(558\) −7499.62 4581.43i −0.568968 0.347576i
\(559\) 9307.05i 0.704198i
\(560\) 2245.43 + 2242.30i 0.169440 + 0.169205i
\(561\) 4550.24 + 4664.46i 0.342445 + 0.351040i
\(562\) 2198.63 + 3808.14i 0.165024 + 0.285831i
\(563\) −7866.96 13626.0i −0.588904 1.02001i −0.994376 0.105904i \(-0.966226\pi\)
0.405473 0.914107i \(-0.367107\pi\)
\(564\) 3761.82 + 1058.12i 0.280854 + 0.0789979i
\(565\) 1192.23 + 688.335i 0.0887744 + 0.0512539i
\(566\) −11937.8 −0.886544
\(567\) −4127.41 + 12854.9i −0.305706 + 0.952126i
\(568\) −14202.7 −1.04917
\(569\) 5395.51 + 3115.10i 0.397524 + 0.229511i 0.685415 0.728152i \(-0.259621\pi\)
−0.287891 + 0.957663i \(0.592954\pi\)
\(570\) 4815.09 + 1354.38i 0.353828 + 0.0995241i
\(571\) 1182.19 + 2047.62i 0.0866432 + 0.150070i 0.906090 0.423084i \(-0.139053\pi\)
−0.819447 + 0.573155i \(0.805719\pi\)
\(572\) −1398.25 2421.83i −0.102209 0.177031i
\(573\) 5097.17 + 5225.11i 0.371618 + 0.380946i
\(574\) −3165.45 + 3169.86i −0.230180 + 0.230500i
\(575\) 5474.78i 0.397068i
\(576\) −12287.3 7506.19i −0.888841 0.542983i
\(577\) 4194.43i 0.302628i 0.988486 + 0.151314i \(0.0483505\pi\)
−0.988486 + 0.151314i \(0.951650\pi\)
\(578\) −7020.30 4053.17i −0.505201 0.291678i
\(579\) −2965.36 11642.2i −0.212843 0.835635i
\(580\) −3172.71 + 1831.77i −0.227137 + 0.131138i
\(581\) 22040.0 5922.04i 1.57379 0.422871i
\(582\) −3320.91 13038.1i −0.236523 0.928602i
\(583\) 2796.85 4844.29i 0.198686 0.344134i
\(584\) 921.295 0.0652799
\(585\) −1904.48 3496.01i −0.134599 0.247081i
\(586\) 4619.69i 0.325662i
\(587\) 6703.36 11610.6i 0.471341 0.816387i −0.528121 0.849169i \(-0.677103\pi\)
0.999463 + 0.0327817i \(0.0104366\pi\)
\(588\) 5171.23 1324.83i 0.362684 0.0929166i
\(589\) 5675.71 + 9830.62i 0.397052 + 0.687714i
\(590\) −7852.01 + 4533.36i −0.547902 + 0.316332i
\(591\) −2190.26 + 7786.80i −0.152445 + 0.541973i
\(592\) 4519.64 7828.24i 0.313777 0.543478i
\(593\) 4672.62 0.323577 0.161789 0.986825i \(-0.448274\pi\)
0.161789 + 0.986825i \(0.448274\pi\)
\(594\) 3228.53 10474.7i 0.223010 0.723542i
\(595\) 946.845 3543.54i 0.0652384 0.244153i
\(596\) 5497.87 + 3174.20i 0.377855 + 0.218155i
\(597\) −1671.29 + 5941.79i −0.114575 + 0.407339i
\(598\) 2998.19 1731.01i 0.205025 0.118371i
\(599\) 5611.71 3239.92i 0.382785 0.221001i −0.296244 0.955112i \(-0.595734\pi\)
0.679029 + 0.734111i \(0.262401\pi\)
\(600\) −8441.64 8653.53i −0.574381 0.588798i
\(601\) −2243.61 1295.35i −0.152277 0.0879174i 0.421925 0.906631i \(-0.361354\pi\)
−0.574203 + 0.818713i \(0.694688\pi\)
\(602\) 13934.7 + 3723.39i 0.943415 + 0.252083i
\(603\) −460.904 + 18589.9i −0.0311268 + 1.25546i
\(604\) −6840.08 −0.460793
\(605\) 307.172 532.038i 0.0206419 0.0357528i
\(606\) −1752.44 + 446.362i −0.117472 + 0.0299211i
\(607\) −1869.60 + 1079.41i −0.125016 + 0.0721781i −0.561204 0.827678i \(-0.689662\pi\)
0.436188 + 0.899856i \(0.356328\pi\)
\(608\) 4965.18 + 8599.94i 0.331192 + 0.573641i
\(609\) 249.659 21341.2i 0.0166120 1.42002i
\(610\) −4141.23 + 7172.82i −0.274875 + 0.476097i
\(611\) 6712.89i 0.444476i
\(612\) −71.9768 + 2903.09i −0.00475407 + 0.191749i
\(613\) 6333.20 0.417285 0.208642 0.977992i \(-0.433096\pi\)
0.208642 + 0.977992i \(0.433096\pi\)
\(614\) 442.510 766.449i 0.0290851 0.0503768i
\(615\) −2217.95 + 2163.64i −0.145425 + 0.141864i
\(616\) −15364.4 + 4128.35i −1.00495 + 0.270026i
\(617\) 1802.84 1040.87i 0.117633 0.0679157i −0.440029 0.897984i \(-0.645032\pi\)
0.557662 + 0.830068i \(0.311698\pi\)
\(618\) 21200.6 + 5963.27i 1.37996 + 0.388152i
\(619\) 20384.1 + 11768.8i 1.32360 + 0.764179i 0.984301 0.176501i \(-0.0564778\pi\)
0.339296 + 0.940680i \(0.389811\pi\)
\(620\) 2403.40i 0.155682i
\(621\) −7760.54 2391.96i −0.501481 0.154567i
\(622\) 14117.0i 0.910031i
\(623\) −19731.3 19703.8i −1.26889 1.26712i
\(624\) −1168.61 + 4154.66i −0.0749711 + 0.266537i
\(625\) −2571.92 4454.69i −0.164603 0.285100i
\(626\) −11350.7 19660.0i −0.724704 1.25522i
\(627\) −10134.4 + 9886.25i −0.645501 + 0.629695i
\(628\) 9522.27 + 5497.68i 0.605063 + 0.349333i
\(629\) −10448.0 −0.662306
\(630\) −5996.20 + 1452.81i −0.379197 + 0.0918750i
\(631\) 13465.2 0.849510 0.424755 0.905308i \(-0.360360\pi\)
0.424755 + 0.905308i \(0.360360\pi\)
\(632\) 18234.8 + 10527.9i 1.14769 + 0.662620i
\(633\) −315.498 1238.66i −0.0198103 0.0777763i
\(634\) 1985.30 + 3438.64i 0.124363 + 0.215404i
\(635\) 5355.89 + 9276.67i 0.334712 + 0.579738i
\(636\) 2415.70 615.300i 0.150611 0.0383620i
\(637\) −4596.11 7935.17i −0.285879 0.493568i
\(638\) 17327.0i 1.07521i
\(639\) 8127.08 13303.7i 0.503133 0.823610i
\(640\) 964.023i 0.0595412i
\(641\) −2697.97 1557.67i −0.166246 0.0959819i 0.414569 0.910018i \(-0.363932\pi\)
−0.580814 + 0.814036i \(0.697266\pi\)
\(642\) 4222.65 4119.26i 0.259587 0.253231i
\(643\) 138.508 79.9675i 0.00849489 0.00490452i −0.495747 0.868467i \(-0.665106\pi\)
0.504241 + 0.863563i \(0.331772\pi\)
\(644\) 833.192 + 3100.88i 0.0509820 + 0.189739i
\(645\) 9603.66 + 2701.30i 0.586269 + 0.164905i
\(646\) −3133.84 + 5427.97i −0.190866 + 0.330589i
\(647\) −11705.0 −0.711239 −0.355619 0.934631i \(-0.615730\pi\)
−0.355619 + 0.934631i \(0.615730\pi\)
\(648\) 15954.6 8185.31i 0.967218 0.496218i
\(649\) 25663.1i 1.55218i
\(650\) −2828.52 + 4899.13i −0.170682 + 0.295631i
\(651\) −12042.9 7142.11i −0.725038 0.429987i
\(652\) −254.330 440.512i −0.0152766 0.0264598i
\(653\) −23280.1 + 13440.8i −1.39513 + 0.805479i −0.993878 0.110487i \(-0.964759\pi\)
−0.401254 + 0.915967i \(0.631425\pi\)
\(654\) 2422.41 + 2483.22i 0.144838 + 0.148473i
\(655\) −73.1541 + 126.707i −0.00436392 + 0.00755853i
\(656\) 3359.06 0.199923
\(657\) −527.185 + 862.981i −0.0313051 + 0.0512452i
\(658\) −10050.7 2685.57i −0.595465 0.159110i
\(659\) −7188.85 4150.48i −0.424943 0.245341i 0.272247 0.962227i \(-0.412233\pi\)
−0.697190 + 0.716886i \(0.745567\pi\)
\(660\) −2904.84 + 739.888i −0.171319 + 0.0436365i
\(661\) 1248.35 720.734i 0.0734571 0.0424105i −0.462822 0.886451i \(-0.653163\pi\)
0.536279 + 0.844041i \(0.319830\pi\)
\(662\) −9290.83 + 5364.06i −0.545466 + 0.314925i
\(663\) 4834.16 1231.30i 0.283172 0.0721264i
\(664\) −26250.0 15155.4i −1.53418 0.885760i
\(665\) 7699.00 + 2057.20i 0.448954 + 0.119962i
\(666\) 8407.36 + 15433.2i 0.489157 + 0.897932i
\(667\) 12837.3 0.745219
\(668\) −653.886 + 1132.56i −0.0378736 + 0.0655991i
\(669\) 3986.08 + 4086.13i 0.230360 + 0.236142i
\(670\) −7359.19 + 4248.83i −0.424344 + 0.244995i
\(671\) −11721.6 20302.4i −0.674378 1.16806i
\(672\) −10535.3 6248.00i −0.604773 0.358663i
\(673\) 8012.16 13877.5i 0.458909 0.794854i −0.539994 0.841669i \(-0.681574\pi\)
0.998904 + 0.0468146i \(0.0149070\pi\)
\(674\) 16532.1i 0.944796i
\(675\) 12936.3 2955.59i 0.737657 0.168534i
\(676\) 4439.56 0.252592
\(677\) −13755.2 + 23824.7i −0.780880 + 1.35252i 0.150549 + 0.988602i \(0.451896\pi\)
−0.931430 + 0.363922i \(0.881438\pi\)
\(678\) 2793.28 + 785.687i 0.158223 + 0.0445046i
\(679\) −5562.34 20701.3i −0.314378 1.17002i
\(680\) −4218.83 + 2435.75i −0.237919 + 0.137363i
\(681\) −16008.3 + 15616.4i −0.900794 + 0.878737i
\(682\) 9844.21 + 5683.56i 0.552719 + 0.319112i
\(683\) 2208.68i 0.123738i 0.998084 + 0.0618688i \(0.0197060\pi\)
−0.998084 + 0.0618688i \(0.980294\pi\)
\(684\) −6307.50 156.383i −0.352592 0.00874190i
\(685\) 1470.75i 0.0820357i
\(686\) −13719.4 + 3706.83i −0.763571 + 0.206308i
\(687\) −14399.3 + 3667.63i −0.799662 + 0.203681i
\(688\) −5407.64 9366.31i −0.299658 0.519022i
\(689\) −2141.12 3708.52i −0.118389 0.205056i
\(690\) −915.970 3596.15i −0.0505368 0.198410i
\(691\) −20410.4 11784.0i −1.12366 0.648746i −0.181328 0.983423i \(-0.558040\pi\)
−0.942333 + 0.334676i \(0.891373\pi\)
\(692\) 4958.40 0.272385
\(693\) 4924.81 16754.3i 0.269954 0.918387i
\(694\) 4043.48 0.221165
\(695\) −2453.18 1416.35i −0.133891 0.0773022i
\(696\) −20290.8 + 19794.0i −1.10506 + 1.07800i
\(697\) −1941.28 3362.40i −0.105497 0.182726i
\(698\) 6580.02 + 11396.9i 0.356816 + 0.618023i
\(699\) −3175.03 + 11287.9i −0.171803 + 0.610795i
\(700\) −3712.53 3707.36i −0.200458 0.200179i
\(701\) 18383.9i 0.990516i 0.868746 + 0.495258i \(0.164926\pi\)
−0.868746 + 0.495258i \(0.835074\pi\)
\(702\) −5708.77 6149.90i −0.306928 0.330645i
\(703\) 22700.3i 1.21786i
\(704\) 16128.7 + 9311.91i 0.863456 + 0.498517i
\(705\) −6926.82 1948.36i −0.370042 0.104085i
\(706\) 4636.43 2676.85i 0.247159 0.142697i
\(707\) −2782.45 + 747.630i −0.148012 + 0.0397702i
\(708\) 8186.60 7986.15i 0.434564 0.423923i
\(709\) 11608.4 20106.3i 0.614895 1.06503i −0.375508 0.926819i \(-0.622532\pi\)
0.990403 0.138211i \(-0.0441351\pi\)
\(710\) 7124.03 0.376564
\(711\) −20295.8 + 11056.3i −1.07054 + 0.583186i
\(712\) 37035.5i 1.94939i
\(713\) 4210.84 7293.39i 0.221174 0.383085i
\(714\) 90.4335 7730.38i 0.00474004 0.405185i
\(715\) 2574.65 + 4459.43i 0.134667 + 0.233249i
\(716\) −11790.0 + 6806.95i −0.615381 + 0.355290i
\(717\) 7948.77 2024.62i 0.414020 0.105454i
\(718\) 12000.6 20785.6i 0.623756 1.08038i
\(719\) 24589.3 1.27542 0.637709 0.770278i \(-0.279882\pi\)
0.637709 + 0.770278i \(0.279882\pi\)
\(720\) 3947.88 + 2411.71i 0.204346 + 0.124832i
\(721\) 33898.3 + 9057.74i 1.75096 + 0.467861i
\(722\) 1495.53 + 863.443i 0.0770883 + 0.0445070i
\(723\) 5230.05 + 5361.33i 0.269029 + 0.275781i
\(724\) −180.219 + 104.049i −0.00925107 + 0.00534111i
\(725\) −18166.2 + 10488.3i −0.930586 + 0.537274i
\(726\) 350.616 1246.51i 0.0179237 0.0637223i
\(727\) 14219.3 + 8209.54i 0.725400 + 0.418810i 0.816737 0.577010i \(-0.195781\pi\)
−0.0913367 + 0.995820i \(0.529114\pi\)
\(728\) −3144.06 + 11766.6i −0.160064 + 0.599035i
\(729\) −1462.36 + 19628.6i −0.0742958 + 0.997236i
\(730\) −462.119 −0.0234299
\(731\) −6250.41 + 10826.0i −0.316252 + 0.547764i
\(732\) 2828.87 10057.2i 0.142839 0.507821i
\(733\) 1654.43 955.186i 0.0833667 0.0481318i −0.457737 0.889088i \(-0.651340\pi\)
0.541104 + 0.840956i \(0.318007\pi\)
\(734\) −6126.30 10611.1i −0.308073 0.533599i
\(735\) −9522.03 + 2439.47i −0.477858 + 0.122423i
\(736\) 3683.69 6380.34i 0.184487 0.319541i
\(737\) 24052.3i 1.20214i
\(738\) −3404.60 + 5573.20i −0.169817 + 0.277984i
\(739\) 10538.9 0.524601 0.262300 0.964986i \(-0.415519\pi\)
0.262300 + 0.964986i \(0.415519\pi\)
\(740\) 2403.13 4162.34i 0.119379 0.206771i
\(741\) 2675.23 + 10503.1i 0.132628 + 0.520704i
\(742\) −6409.05 + 1722.08i −0.317094 + 0.0852016i
\(743\) −9283.92 + 5360.07i −0.458404 + 0.264660i −0.711373 0.702815i \(-0.751926\pi\)
0.252969 + 0.967474i \(0.418593\pi\)
\(744\) 4590.06 + 18020.8i 0.226182 + 0.888004i
\(745\) −10123.5 5844.80i −0.497847 0.287432i
\(746\) 27080.1i 1.32905i
\(747\) 29217.0 15916.2i 1.43105 0.779577i
\(748\) 3756.12i 0.183606i
\(749\) 6641.05 6650.31i 0.323977 0.324428i
\(750\) 9830.33 + 10077.1i 0.478604 + 0.490617i
\(751\) 16974.5 + 29400.7i 0.824779 + 1.42856i 0.902088 + 0.431552i \(0.142034\pi\)
−0.0773094 + 0.997007i \(0.524633\pi\)
\(752\) 3900.37 + 6755.63i 0.189138 + 0.327597i
\(753\) 14685.5 + 4130.71i 0.710716 + 0.199909i
\(754\) 11487.5 + 6632.32i 0.554841 + 0.320338i
\(755\) 12595.0 0.607123
\(756\) 6877.24 3642.77i 0.330850 0.175246i
\(757\) −4201.14 −0.201708 −0.100854 0.994901i \(-0.532158\pi\)
−0.100854 + 0.994901i \(0.532158\pi\)
\(758\) 4.52407 + 2.61197i 0.000216783 + 0.000125160i
\(759\) 10111.4 + 2844.11i 0.483557 + 0.136014i
\(760\) −5292.11 9166.21i −0.252586 0.437491i
\(761\) 1844.61 + 3194.96i 0.0878674 + 0.152191i 0.906609 0.421971i \(-0.138661\pi\)
−0.818742 + 0.574161i \(0.805328\pi\)
\(762\) 15765.8 + 16161.5i 0.749519 + 0.768332i
\(763\) 3910.85 + 3905.41i 0.185560 + 0.185302i
\(764\) 4207.60i 0.199248i
\(765\) 132.534 5345.59i 0.00626377 0.252641i
\(766\) 18338.2i 0.864994i
\(767\) −17014.1 9823.11i −0.800971 0.462441i
\(768\) 4970.19 + 19513.3i 0.233524 + 0.916828i
\(769\) 2527.18 1459.07i 0.118508 0.0684204i −0.439574 0.898206i \(-0.644871\pi\)
0.558082 + 0.829786i \(0.311537\pi\)
\(770\) 7706.77 2070.77i 0.360692 0.0969162i
\(771\) −9331.97 36637.8i −0.435905 1.71139i
\(772\) −3462.54 + 5997.29i −0.161424 + 0.279595i
\(773\) −6902.85 −0.321188 −0.160594 0.987021i