Properties

Label 63.4.o.a.20.15
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 20.15
Character \(\chi\) \(=\) 63.20
Dual form 63.4.o.a.41.15

$q$-expansion

\(f(q)\) \(=\) \(q+(1.93743 + 1.11857i) q^{2} +(-5.00204 - 1.40697i) q^{3} +(-1.49759 - 2.59390i) q^{4} +(-2.75758 - 4.77627i) q^{5} +(-8.11730 - 8.32104i) q^{6} +(-17.8859 - 4.80585i) q^{7} -24.5978i q^{8} +(23.0409 + 14.0754i) q^{9} +O(q^{10})\) \(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} +(-17.8859 - 4.80585i) 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} +(-29.2768 - 29.3176i) 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} +(82.7042 + 49.2038i) 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} +(105.195 + 187.839i) 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} +(296.808 + 171.913i) 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} +(-118.213 + 439.953i) 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} +(-344.462 - 362.482i) 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} +(-59.2956 + 220.680i) 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} +(457.025 + 457.661i) 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} +(3.77299 - 288.213i) 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 0.715948 0.698154i \(-0.245995\pi\)
−0.962593 + 0.270952i \(0.912662\pi\)
\(6\) −8.11730 8.32104i −0.552312 0.566175i
\(7\) −17.8859 4.80585i −0.965745 0.259491i
\(8\) 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 −0.232253 0.972656i \(-0.574610\pi\)
0.726218 + 0.687464i \(0.241276\pi\)
\(14\) −29.2768 29.3176i −0.558897 0.559676i
\(15\) 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 \(-0.417544\pi\)
0.256156 + 0.966636i \(0.417544\pi\)
\(18\) 28.8957 + 53.0430i 0.378376 + 0.694575i
\(19\) 78.0198i 0.942051i 0.882120 + 0.471025i \(0.156116\pi\)
−0.882120 + 0.471025i \(0.843884\pi\)
\(20\) −8.25943 + 14.3058i −0.0923432 + 0.159943i
\(21\) 82.7042 + 49.2038i 0.859406 + 0.511293i
\(22\) −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 −0.0884105 0.996084i \(-0.528179\pi\)
0.818429 + 0.574608i \(0.194845\pi\)
\(32\) −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 0.744503 0.667619i \(-0.232686\pi\)
−0.950426 + 0.310949i \(0.899353\pi\)
\(42\) 105.195 + 187.839i 0.386475 + 0.690101i
\(43\) 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 −0.602770 0.797915i \(-0.705936\pi\)
0.992400 + 0.123057i \(0.0392697\pi\)
\(48\) −115.555 + 112.726i −0.347479 + 0.338970i
\(49\) 296.808 + 171.913i 0.865328 + 0.501205i
\(50\) 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
\(56\) −118.213 + 439.953i −0.282088 + 1.04984i
\(57\) 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 \(-0.865723\pi\)
0.101580 0.994827i \(-0.467610\pi\)
\(60\) 61.4417 59.9373i 0.132202 0.128964i
\(61\) −581.350 335.643i −1.22023 0.704502i −0.255266 0.966871i \(-0.582163\pi\)
−0.964968 + 0.262368i \(0.915496\pi\)
\(62\) 325.492 0.666734
\(63\) −344.462 362.482i −0.688859 0.724895i
\(64\) −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
\(70\) −59.2956 + 220.680i −0.101245 + 0.376804i
\(71\) 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 \(-0.990441\pi\)
0.999549 0.0300253i \(-0.00955879\pi\)
\(74\) 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
\(77\) 457.025 + 457.661i 0.676400 + 0.677342i
\(78\) −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 \(0.469824\pi\)
−0.909467 + 0.415777i \(0.863510\pi\)
\(84\) 3.77299 288.213i 0.00490079 0.374365i
\(85\) −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 \(-0.146019\pi\)
0.896615 + 0.442811i \(0.146019\pi\)
\(90\) 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 0.922427 0.386172i \(-0.126203\pi\)
0.126778 + 0.991931i \(0.459536\pi\)
\(98\) 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 −0.825163 0.564894i \(-0.808917\pi\)
0.901794 + 0.432165i \(0.142250\pi\)
\(102\) −291.487 298.803i −0.282956 0.290058i
\(103\) −1640.73 + 947.276i −1.56957 + 0.906193i −0.573354 + 0.819307i \(0.694358\pi\)
−0.996218 + 0.0868857i \(0.972309\pi\)
\(104\) −328.812 569.519i −0.310026 0.536980i
\(105\) 6.94737 530.701i 0.00645709 0.493248i
\(106\) −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
\(112\) −407.137 + 406.571i −0.343490 + 0.343012i
\(113\) 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
\(119\) −642.269 172.575i −0.494762 0.132940i
\(120\) 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
\(126\) −261.907 1087.59i −0.185179 0.768968i
\(127\) 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 0.861568 0.507642i \(-0.169483\pi\)
−0.870415 + 0.492319i \(0.836149\pi\)
\(132\) 147.169 523.215i 0.0970409 0.345000i
\(133\) 374.951 1395.45i 0.244454 0.909781i
\(134\) 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 −0.358110 0.933679i \(-0.616579\pi\)
0.629535 + 0.776972i \(0.283245\pi\)
\(140\) 216.478 216.177i 0.130684 0.130502i
\(141\) −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
\(147\) −1242.77 1277.52i −0.697291 0.716788i
\(148\) −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 \(-0.283798\pi\)
0.987916 0.154993i \(-0.0495356\pi\)
\(158\) −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 0.912162 0.409829i \(-0.134412\pi\)
−0.811003 + 0.585041i \(0.801078\pi\)
\(168\) 1210.31 2034.34i 0.555817 0.934244i
\(169\) −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 −0.624812 0.780775i \(-0.714825\pi\)
0.988577 + 0.150716i \(0.0481579\pi\)
\(174\) 636.341 + 2498.31i 0.277247 + 1.08849i
\(175\) −1239.50 + 1237.78i −0.535415 + 0.534670i
\(176\) −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 \(0.00454113\pi\)
−0.999898 + 0.0142659i \(0.995459\pi\)
\(182\) −1069.76 287.439i −0.435690 0.117068i
\(183\) 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
\(189\) 1213.01 + 2297.80i 0.466846 + 0.884339i
\(190\) 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
\(196\) 1.43036 1027.34i 0.000521267 0.374397i
\(197\) 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 \(-0.932141\pi\)
0.977362 0.211573i \(-0.0678585\pi\)
\(200\) −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
\(203\) 2902.35 + 2906.39i 1.00347 + 1.00487i
\(204\) 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
\(210\) 607.088 1020.42i 0.199491 0.335313i
\(211\) −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 0.350304 0.936636i \(-0.386078\pi\)
−0.635999 + 0.771690i \(0.719412\pi\)
\(224\) 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 \(-0.616713\pi\)
0.987711 0.156291i \(-0.0499539\pi\)
\(228\) −1176.68 + 299.711i −0.341788 + 0.0870564i
\(229\) 2476.51 1429.81i 0.714639 0.412597i −0.0981371 0.995173i \(-0.531288\pi\)
0.812776 + 0.582576i \(0.197955\pi\)
\(230\) 357.088 + 618.495i 0.102373 + 0.177315i
\(231\) −1642.14 2932.26i −0.467728 0.835189i
\(232\) −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
\(238\) −1051.31 1052.78i −0.286329 0.286728i
\(239\) 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 0.323809 0.946122i \(-0.395036\pi\)
−0.657461 + 0.753488i \(0.728370\pi\)
\(242\) 249.200i 0.0661951i
\(243\) −751.924 3712.62i −0.198502 0.980101i
\(244\) 2010.62i 0.527527i
\(245\) 2.63378 1891.70i 0.000686801 0.493290i
\(246\) −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 \(-0.620350\pi\)
−0.369148 + 0.929371i \(0.620350\pi\)
\(252\) −424.379 + 1436.35i −0.106085 + 0.359053i
\(253\) 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 \(0.177823\pi\)
0.0350420 + 0.999386i \(0.488843\pi\)
\(258\) −3921.55 + 998.853i −0.946299 + 0.241030i
\(259\) −5203.99 1398.29i −1.24850 0.335465i
\(260\) 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
\(266\) 2287.35 2284.17i 0.527243 0.526509i
\(267\) −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 \(-0.823471\pi\)
−0.850121 + 0.526588i \(0.823471\pi\)
\(270\) −1268.66 + 1177.66i −0.285956 + 0.265444i
\(271\) 4621.90i 1.03602i 0.855376 + 0.518008i \(0.173326\pi\)
−0.855376 + 0.518008i \(0.826674\pi\)
\(272\) 557.807 966.150i 0.124346 0.215373i
\(273\) 2572.60 + 33.6778i 0.570333 + 0.00746620i
\(274\) −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 0.0712447 0.997459i \(-0.477303\pi\)
0.899447 + 0.437030i \(0.143970\pi\)
\(284\) −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 0.744542 0.667576i \(-0.232668\pi\)
−0.950409 + 0.311004i \(0.899335\pi\)
\(294\) −978.776 3865.22i −0.194161 0.766749i
\(295\) −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
\(301\) −4562.11 + 4555.76i −0.873606 + 0.872391i
\(302\) 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 \(0.0117076\pi\)
−0.999324 + 0.0367723i \(0.988292\pi\)
\(308\) 502.692 1870.86i 0.0929986 0.346111i
\(309\) 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 \(0.0284390\pi\)
−0.420735 + 0.907184i \(0.638228\pi\)
\(312\) 843.438 + 3311.39i 0.153046 + 0.600866i
\(313\) 8787.97 + 5073.73i 1.58698 + 0.916244i 0.993801 + 0.111175i \(0.0354613\pi\)
0.593180 + 0.805070i \(0.297872\pi\)
\(314\) 8212.62 1.47600
\(315\) −781.428 + 2644.81i −0.139773 + 0.473074i
\(316\) 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
\(322\) 2316.10 + 622.325i 0.400842 + 0.107704i
\(323\) 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
\(329\) −3290.51 + 3285.93i −0.551403 + 0.550636i
\(330\) 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
\(336\) 2608.55 1460.86i 0.423536 0.237191i
\(337\) −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 0.0555477 0.998456i \(-0.482310\pi\)
−0.836914 + 0.547334i \(0.815643\pi\)
\(350\) −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 −0.942021 0.335554i \(-0.891077\pi\)
0.761609 + 0.648037i \(0.224410\pi\)
\(354\) −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
\(357\) 2969.85 + 1766.88i 0.440284 + 0.261941i
\(358\) 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
\(364\) 1047.93 + 1049.39i 0.150897 + 0.151107i
\(365\) −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 0.797829 0.602884i \(-0.205982\pi\)
−0.123199 + 0.992382i \(0.539315\pi\)
\(368\) 1798.29i 0.254735i
\(369\) 72.3559 2918.38i 0.0102078 0.411720i
\(370\) 3589.87i 0.504402i
\(371\) 769.767 2864.83i 0.107721 0.400902i
\(372\) 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
\(378\) −220.127 + 5808.65i −0.0299527 + 0.790383i
\(379\) 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 \(-0.982510\pi\)
0.451684 0.892178i \(-0.350823\pi\)
\(384\) 634.230 + 650.149i 0.0842849 + 0.0864005i
\(385\) 925.631 3444.91i 0.122531 0.456023i
\(386\) 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
\(392\) 4228.69 7300.82i 0.544850 0.940681i
\(393\) 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 \(-0.859523\pi\)
0.904188 0.427135i \(-0.140477\pi\)
\(398\) 1328.72 2301.41i 0.167344 0.289848i
\(399\) −3838.87 + 6452.56i −0.481664 + 0.809604i
\(400\) −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 −0.950421 0.310965i \(-0.899348\pi\)
−0.205907 + 0.978571i \(0.566015\pi\)
\(410\) −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 \(0.0236227\pi\)
−0.434412 + 0.900714i \(0.643044\pi\)
\(420\) −1386.99 + 776.750i −0.161138 + 0.0902417i
\(421\) 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
\(427\) 8784.90 + 8797.14i 0.995623 + 0.997010i
\(428\) −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 \(0.157900\pi\)
−0.879466 + 0.475962i \(0.842100\pi\)
\(434\) −5821.70 1564.26i −0.643895 0.173012i
\(435\) 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 0.806106 0.591772i \(-0.201571\pi\)
−0.109437 + 0.993994i \(0.534905\pi\)
\(440\) 4737.67 0.513317
\(441\) 4418.96 + 8138.73i 0.477158 + 0.878817i
\(442\) 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
\(448\) 9538.24 + 2562.88i 1.00589 + 0.270279i
\(449\) 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
\(455\) 1929.60 + 1932.29i 0.198816 + 0.199093i
\(456\) −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 \(0.455938\pi\)
−0.926733 + 0.375721i \(0.877395\pi\)
\(462\) 98.4164 7517.90i 0.00991070 0.757065i
\(463\) −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 \(-0.393834\pi\)
0.327380 + 0.944893i \(0.393834\pi\)
\(468\) −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 −0.598336 0.801245i \(-0.704171\pi\)
0.993067 + 0.117552i \(0.0375045\pi\)
\(480\) −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
\(483\) −5569.87 72.9149i −0.524716 0.00686903i
\(484\) −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
\(490\) 2121.10 3662.08i 0.195555 0.337624i
\(491\) 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
\(497\) −2774.88 + 10327.2i −0.250443 + 0.932070i
\(498\) 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 \(-0.606607\pi\)
−0.328690 + 0.944438i \(0.606607\pi\)
\(504\) −8916.26 + 8473.01i −0.788019 + 0.748845i
\(505\) −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 \(-0.796819\pi\)
−0.114462 0.993428i \(-0.536514\pi\)
\(510\) −623.366 + 2216.19i −0.0541237 + 0.192421i
\(511\) −180.000 + 669.903i −0.0155826 + 0.0579936i
\(512\) 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
\(518\) −8518.26 8530.13i −0.722531 0.723537i
\(519\) −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 \(-0.182233\pi\)
0.840548 + 0.541736i \(0.182233\pi\)
\(522\) 332.030 13392.0i 0.0278401 1.12289i
\(523\) 3604.15i 0.301336i −0.988584 0.150668i \(-0.951858\pi\)
0.988584 0.150668i \(-0.0481424\pi\)
\(524\) −39.7286 + 68.8119i −0.00331212 + 0.00573676i
\(525\) 7941.56 4447.48i 0.660187 0.369722i
\(526\) 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
\(546\) 4946.56 + 2942.89i 0.387716 + 0.230667i
\(547\) −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
\(553\) 11217.8 11202.2i 0.862621 0.861421i
\(554\) 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
\(560\) 3064.60 + 823.445i 0.231256 + 0.0621373i
\(561\) 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 \(0.0337736\pi\)
−0.405473 + 0.914107i \(0.632893\pi\)
\(564\) 3761.82 + 1058.12i 0.280854 + 0.0789979i
\(565\) −1192.23 688.335i −0.0887744 0.0512539i
\(566\) 11937.8 0.886544
\(567\) −2834.63 13200.3i −0.209953 0.977711i
\(568\) −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
\(574\) −1162.45 + 4326.28i −0.0845293 + 0.314592i
\(575\) 5474.78i 0.397068i
\(576\) −12287.3 7506.19i −0.888841 0.542983i
\(577\) 4194.43i 0.302628i −0.988486 0.151314i \(-0.951650\pi\)
0.988486 0.151314i \(-0.0483505\pi\)
\(578\) −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
\(581\) 16148.6 16126.2i 1.15311 1.15151i
\(582\) −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 −0.999463 0.0327817i \(-0.989563\pi\)
0.528121 + 0.849169i \(0.322897\pi\)
\(588\) −1452.59 + 5136.81i −0.101877 + 0.360269i
\(589\) 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 \(-0.551726\pi\)
−0.161789 + 0.986825i \(0.551726\pi\)
\(594\) −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 0.574203 0.818713i \(-0.305312\pi\)
−0.421925 + 0.906631i \(0.638646\pi\)
\(602\) −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 −0.436188 0.899856i \(-0.643672\pi\)
0.561204 + 0.827678i \(0.310338\pi\)
\(608\) −4965.18 8599.94i −0.331192 0.573641i
\(609\) −10428.5 18621.4i −0.693897 1.23904i
\(610\) −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
\(616\) 11257.5 11241.8i 0.736325 0.735301i
\(617\) 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 −0.339296 0.940680i \(-0.610189\pi\)
−0.984301 + 0.176501i \(0.943522\pi\)
\(620\) 2403.40i 0.155682i
\(621\) 7760.54 + 2391.96i 0.501481 + 0.154567i
\(622\) 14117.0i 0.910031i
\(623\) −26929.7 7235.88i −1.73180 0.465328i
\(624\) −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
\(630\) −4472.38 + 4250.04i −0.282831 + 0.268771i
\(631\) 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
\(637\) 9170.11 + 12.7674i 0.570382 + 0.000794135i
\(638\) 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 −0.504241 0.863563i \(-0.668228\pi\)
0.495747 + 0.868467i \(0.334894\pi\)
\(644\) −2268.85 2272.01i −0.138828 0.139021i
\(645\) 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 \(-0.384270\pi\)
0.355619 + 0.934631i \(0.384270\pi\)
\(648\) 15954.6 8185.31i 0.967218 0.496218i
\(649\) 25663.1i 1.55218i
\(650\) 2828.52 4899.13i 0.170682 0.295631i
\(651\) 14000.3 + 183.277i 0.842880 + 0.0110341i
\(652\) −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 −0.536279 0.844041i \(-0.680170\pi\)
0.462822 + 0.886451i \(0.346837\pi\)
\(662\) −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
\(672\) −12247.6 160.333i −0.703069 0.00920384i
\(673\) 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 \(-0.548104\pi\)
0.931430 0.363922i \(-0.118562\pi\)
\(678\) −2793.28 785.687i −0.158223 0.0445046i
\(679\) −15146.7 15167.8i −0.856076 0.857269i
\(680\) −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
\(686\) −3649.49 13734.8i −0.203117 0.764426i
\(687\) −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 0.942333 0.334676i \(-0.108627\pi\)
0.181328 + 0.983423i \(0.441960\pi\)
\(692\) −4958.40 −0.272385
\(693\) 4088.49 + 16977.7i 0.224111 + 0.930636i
\(694\) 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
\(700\) 5066.93 + 1361.46i 0.273589 + 0.0735120i
\(701\) 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
\(707\) −2038.69 + 2035.85i −0.108448 + 0.108297i
\(708\) 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
\(714\) 3777.49 + 6745.19i 0.197996 + 0.353547i
\(715\) 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 \(-0.720118\pi\)
−0.637709 + 0.770278i \(0.720118\pi\)
\(720\) −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 0.0913367 0.995820i \(-0.470886\pi\)
−0.816737 + 0.577010i \(0.804219\pi\)
\(728\) 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 −0.541104 0.840956i \(-0.681993\pi\)
0.457737 + 0.889088i \(0.348660\pi\)
\(734\) 6126.30 + 10611.1i 0.308073 + 0.533599i
\(735\) −2674.73 + 9458.65i −0.134230 + 0.474677i
\(736\) 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
\(742\) 4695.89 4689.36i 0.232334 0.232010i
\(743\) −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
\(749\) −2438.81 + 9076.47i −0.118975 + 0.442787i
\(750\) 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
\(756\) 4143.65 6587.59i 0.199343 0.316916i
\(757\) −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 0.818742 0.574161i \(-0.194672\pi\)
−0.906609 + 0.421971i \(0.861339\pi\)
\(762\) −15765.8 16161.5i −0.749519 0.768332i
\(763\) −5337.60 1434.19i −0.253256 0.0680487i
\(764\) 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 −0.558082 0.829786i \(-0.688463\pi\)
0.439574 + 0.898206i \(0.355129\pi\)
\(770\) 5646.72 5638.87i 0.264278 0.263910i
\(771\) −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