Properties

Label 108.4.l.a.11.17
Level 108
Weight 4
Character 108.11
Analytic conductor 6.372
Analytic rank 0
Dimension 312
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 108 = 2^{2} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 108.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.37220628062\)
Analytic rank: \(0\)
Dimension: \(312\)
Relative dimension: \(52\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 11.17
Character \(\chi\) \(=\) 108.11
Dual form 108.4.l.a.59.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.74755 + 2.22397i) q^{2} +(-2.88986 + 4.31841i) q^{3} +(-1.89211 - 7.77303i) q^{4} +(3.28651 - 9.02962i) q^{5} +(-4.55384 - 13.9736i) q^{6} +(18.0956 + 3.19074i) q^{7} +(20.5936 + 9.37578i) q^{8} +(-10.2974 - 24.9592i) q^{9} +O(q^{10})\) \(q+(-1.74755 + 2.22397i) q^{2} +(-2.88986 + 4.31841i) q^{3} +(-1.89211 - 7.77303i) q^{4} +(3.28651 - 9.02962i) q^{5} +(-4.55384 - 13.9736i) q^{6} +(18.0956 + 3.19074i) q^{7} +(20.5936 + 9.37578i) q^{8} +(-10.2974 - 24.9592i) q^{9} +(14.3383 + 23.0889i) q^{10} +(49.0304 - 17.8456i) q^{11} +(39.0351 + 14.2921i) q^{12} +(-45.2507 + 37.9699i) q^{13} +(-38.7192 + 34.6681i) q^{14} +(29.4961 + 40.2869i) q^{15} +(-56.8398 + 29.4148i) q^{16} +(48.9268 - 28.2479i) q^{17} +(73.5039 + 20.7165i) q^{18} +(-11.8846 - 6.86160i) q^{19} +(-76.4059 - 8.46111i) q^{20} +(-66.0727 + 68.9235i) q^{21} +(-45.9952 + 140.228i) q^{22} +(32.1761 + 182.479i) q^{23} +(-100.001 + 61.8368i) q^{24} +(25.0227 + 20.9966i) q^{25} +(-5.36586 - 166.991i) q^{26} +(137.542 + 27.6604i) q^{27} +(-9.43714 - 146.695i) q^{28} +(199.157 - 237.347i) q^{29} +(-141.143 - 4.80506i) q^{30} +(123.956 - 21.8568i) q^{31} +(33.9129 - 177.814i) q^{32} +(-64.6264 + 263.305i) q^{33} +(-22.6796 + 158.176i) q^{34} +(88.2826 - 152.910i) q^{35} +(-174.525 + 127.267i) q^{36} +(41.7796 + 72.3645i) q^{37} +(36.0291 - 14.4401i) q^{38} +(-33.2012 - 305.139i) q^{39} +(152.341 - 155.138i) q^{40} +(29.6614 + 35.3491i) q^{41} +(-37.8182 - 267.391i) q^{42} +(117.701 + 323.380i) q^{43} +(-231.485 - 347.349i) q^{44} +(-259.215 + 10.9526i) q^{45} +(-462.059 - 247.334i) q^{46} +(40.4260 - 229.267i) q^{47} +(37.2339 - 330.463i) q^{48} +(-5.04477 - 1.83614i) q^{49} +(-90.4243 + 18.9572i) q^{50} +(-19.4056 + 292.918i) q^{51} +(380.760 + 279.892i) q^{52} -110.781i q^{53} +(-301.879 + 257.552i) q^{54} -501.376i q^{55} +(342.737 + 235.369i) q^{56} +(63.9762 - 31.4937i) q^{57} +(179.814 + 857.697i) q^{58} +(-510.698 - 185.879i) q^{59} +(257.341 - 305.501i) q^{60} +(87.1157 - 494.058i) q^{61} +(-168.011 + 313.871i) q^{62} +(-106.699 - 484.509i) q^{63} +(336.189 + 386.161i) q^{64} +(194.136 + 533.385i) q^{65} +(-472.645 - 603.867i) q^{66} +(-148.811 - 177.346i) q^{67} +(-312.146 - 326.861i) q^{68} +(-881.006 - 388.391i) q^{69} +(185.789 + 463.556i) q^{70} +(396.938 + 687.516i) q^{71} +(21.9525 - 610.546i) q^{72} +(228.548 - 395.856i) q^{73} +(-233.949 - 33.5440i) q^{74} +(-162.984 + 47.3813i) q^{75} +(-30.8483 + 105.362i) q^{76} +(944.175 - 166.484i) q^{77} +(736.642 + 459.408i) q^{78} +(-331.037 + 394.515i) q^{79} +(78.7999 + 609.914i) q^{80} +(-516.928 + 514.030i) q^{81} +(-130.450 + 4.19171i) q^{82} +(171.861 + 144.208i) q^{83} +(660.761 + 383.174i) q^{84} +(-94.2692 - 534.627i) q^{85} +(-924.875 - 303.360i) q^{86} +(449.423 + 1545.94i) q^{87} +(1177.03 + 92.1938i) q^{88} +(425.857 + 245.869i) q^{89} +(428.634 - 595.627i) q^{90} +(-939.991 + 542.704i) q^{91} +(1357.54 - 595.376i) q^{92} +(-263.829 + 598.457i) q^{93} +(439.238 + 490.563i) q^{94} +(-101.017 + 84.7630i) q^{95} +(669.872 + 660.309i) q^{96} +(-799.029 + 290.823i) q^{97} +(12.8995 - 8.01066i) q^{98} +(-950.298 - 1040.00i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 312q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 9q^{8} - 12q^{9} + O(q^{10}) \) \( 312q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 9q^{8} - 12q^{9} - 3q^{10} - 123q^{12} - 12q^{13} + 69q^{14} - 6q^{16} - 18q^{17} + 351q^{18} + 225q^{20} - 12q^{21} - 6q^{22} - 300q^{24} - 12q^{25} - 12q^{28} - 96q^{29} - 207q^{30} - 696q^{32} + 858q^{33} - 30q^{34} - 1056q^{36} - 6q^{37} - 900q^{38} - 381q^{40} + 138q^{41} + 2574q^{42} + 2655q^{44} - 672q^{45} - 3q^{46} - 435q^{48} - 12q^{49} - 2829q^{50} + 1371q^{52} - 4458q^{54} - 2925q^{56} + 660q^{57} + 885q^{58} + 966q^{60} - 12q^{61} + 1872q^{62} - 3q^{64} - 708q^{65} + 3093q^{66} + 2211q^{68} - 1572q^{69} - 1011q^{70} - 4524q^{72} - 6q^{73} - 5883q^{74} - 198q^{76} - 996q^{77} - 2976q^{78} + 444q^{81} - 12q^{82} + 6324q^{84} - 762q^{85} + 8322q^{86} + 1530q^{88} + 4212q^{89} - 1104q^{90} - 3255q^{92} + 7404q^{93} + 2019q^{94} + 582q^{96} - 66q^{97} + 2898q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{13}{18}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.74755 + 2.22397i −0.617854 + 0.786293i
\(3\) −2.88986 + 4.31841i −0.556154 + 0.831079i
\(4\) −1.89211 7.77303i −0.236514 0.971628i
\(5\) 3.28651 9.02962i 0.293955 0.807634i −0.701524 0.712646i \(-0.747497\pi\)
0.995478 0.0949876i \(-0.0302812\pi\)
\(6\) −4.55384 13.9736i −0.309850 0.950786i
\(7\) 18.0956 + 3.19074i 0.977070 + 0.172284i 0.639311 0.768949i \(-0.279220\pi\)
0.337760 + 0.941232i \(0.390331\pi\)
\(8\) 20.5936 + 9.37578i 0.910115 + 0.414355i
\(9\) −10.2974 24.9592i −0.381385 0.924416i
\(10\) 14.3383 + 23.0889i 0.453416 + 0.730134i
\(11\) 49.0304 17.8456i 1.34393 0.489150i 0.432882 0.901451i \(-0.357497\pi\)
0.911048 + 0.412300i \(0.135275\pi\)
\(12\) 39.0351 + 14.2921i 0.939038 + 0.343814i
\(13\) −45.2507 + 37.9699i −0.965407 + 0.810073i −0.981824 0.189792i \(-0.939219\pi\)
0.0164169 + 0.999865i \(0.494774\pi\)
\(14\) −38.7192 + 34.6681i −0.739152 + 0.661818i
\(15\) 29.4961 + 40.2869i 0.507723 + 0.693468i
\(16\) −56.8398 + 29.4148i −0.888123 + 0.459607i
\(17\) 48.9268 28.2479i 0.698028 0.403007i −0.108584 0.994087i \(-0.534632\pi\)
0.806613 + 0.591080i \(0.201298\pi\)
\(18\) 73.5039 + 20.7165i 0.962502 + 0.271274i
\(19\) −11.8846 6.86160i −0.143501 0.0828505i 0.426530 0.904473i \(-0.359736\pi\)
−0.570032 + 0.821623i \(0.693069\pi\)
\(20\) −76.4059 8.46111i −0.854244 0.0945981i
\(21\) −66.0727 + 68.9235i −0.686583 + 0.716206i
\(22\) −45.9952 + 140.228i −0.445736 + 1.35895i
\(23\) 32.1761 + 182.479i 0.291703 + 1.65433i 0.680308 + 0.732926i \(0.261846\pi\)
−0.388605 + 0.921404i \(0.627043\pi\)
\(24\) −100.001 + 61.8368i −0.850526 + 0.525933i
\(25\) 25.0227 + 20.9966i 0.200182 + 0.167972i
\(26\) −5.36586 166.991i −0.0404743 1.25960i
\(27\) 137.542 + 27.6604i 0.980372 + 0.197157i
\(28\) −9.43714 146.695i −0.0636947 0.990097i
\(29\) 199.157 237.347i 1.27526 1.51980i 0.540796 0.841154i \(-0.318123\pi\)
0.734467 0.678645i \(-0.237432\pi\)
\(30\) −141.143 4.80506i −0.858968 0.0292427i
\(31\) 123.956 21.8568i 0.718167 0.126632i 0.197390 0.980325i \(-0.436753\pi\)
0.520777 + 0.853693i \(0.325642\pi\)
\(32\) 33.9129 177.814i 0.187344 0.982294i
\(33\) −64.6264 + 263.305i −0.340910 + 1.38896i
\(34\) −22.6796 + 158.176i −0.114398 + 0.797854i
\(35\) 88.2826 152.910i 0.426357 0.738471i
\(36\) −174.525 + 127.267i −0.807986 + 0.589201i
\(37\) 41.7796 + 72.3645i 0.185636 + 0.321531i 0.943791 0.330544i \(-0.107232\pi\)
−0.758155 + 0.652075i \(0.773899\pi\)
\(38\) 36.0291 14.4401i 0.153807 0.0616446i
\(39\) −33.2012 305.139i −0.136319 1.25286i
\(40\) 152.341 155.138i 0.602180 0.613238i
\(41\) 29.6614 + 35.3491i 0.112984 + 0.134649i 0.819572 0.572976i \(-0.194211\pi\)
−0.706588 + 0.707625i \(0.749767\pi\)
\(42\) −37.8182 267.391i −0.138940 0.982367i
\(43\) 117.701 + 323.380i 0.417422 + 1.14686i 0.953158 + 0.302473i \(0.0978121\pi\)
−0.535736 + 0.844386i \(0.679966\pi\)
\(44\) −231.485 347.349i −0.793130 1.19011i
\(45\) −259.215 + 10.9526i −0.858700 + 0.0362827i
\(46\) −462.059 247.334i −1.48102 0.792770i
\(47\) 40.4260 229.267i 0.125463 0.711533i −0.855570 0.517688i \(-0.826793\pi\)
0.981032 0.193846i \(-0.0620961\pi\)
\(48\) 37.2339 330.463i 0.111964 0.993712i
\(49\) −5.04477 1.83614i −0.0147078 0.00535319i
\(50\) −90.4243 + 18.9572i −0.255759 + 0.0536191i
\(51\) −19.4056 + 292.918i −0.0532809 + 0.804251i
\(52\) 380.760 + 279.892i 1.01542 + 0.746424i
\(53\) 110.781i 0.287113i −0.989642 0.143556i \(-0.954146\pi\)
0.989642 0.143556i \(-0.0458538\pi\)
\(54\) −301.879 + 257.552i −0.760750 + 0.649045i
\(55\) 501.376i 1.22919i
\(56\) 342.737 + 235.369i 0.817860 + 0.561652i
\(57\) 63.9762 31.4937i 0.148664 0.0731832i
\(58\) 179.814 + 857.697i 0.407082 + 1.94174i
\(59\) −510.698 185.879i −1.12690 0.410159i −0.289736 0.957107i \(-0.593567\pi\)
−0.837167 + 0.546948i \(0.815790\pi\)
\(60\) 257.341 305.501i 0.553710 0.657333i
\(61\) 87.1157 494.058i 0.182853 1.03701i −0.745830 0.666136i \(-0.767947\pi\)
0.928683 0.370874i \(-0.120942\pi\)
\(62\) −168.011 + 313.871i −0.344152 + 0.642930i
\(63\) −106.699 484.509i −0.213378 0.968926i
\(64\) 336.189 + 386.161i 0.656620 + 0.754222i
\(65\) 194.136 + 533.385i 0.370456 + 1.01782i
\(66\) −472.645 603.867i −0.881494 1.12623i
\(67\) −148.811 177.346i −0.271345 0.323377i 0.613114 0.789995i \(-0.289917\pi\)
−0.884459 + 0.466618i \(0.845472\pi\)
\(68\) −312.146 326.861i −0.556666 0.582907i
\(69\) −881.006 388.391i −1.53711 0.677635i
\(70\) 185.789 + 463.556i 0.317229 + 0.791508i
\(71\) 396.938 + 687.516i 0.663491 + 1.14920i 0.979692 + 0.200508i \(0.0642591\pi\)
−0.316201 + 0.948692i \(0.602408\pi\)
\(72\) 21.9525 610.546i 0.0359323 0.999354i
\(73\) 228.548 395.856i 0.366431 0.634678i −0.622573 0.782561i \(-0.713913\pi\)
0.989005 + 0.147884i \(0.0472461\pi\)
\(74\) −233.949 33.5440i −0.367513 0.0526948i
\(75\) −162.984 + 47.3813i −0.250930 + 0.0729483i
\(76\) −30.8483 + 105.362i −0.0465598 + 0.159025i
\(77\) 944.175 166.484i 1.39739 0.246397i
\(78\) 736.642 + 459.408i 1.06934 + 0.666894i
\(79\) −331.037 + 394.515i −0.471451 + 0.561853i −0.948400 0.317078i \(-0.897298\pi\)
0.476949 + 0.878931i \(0.341743\pi\)
\(80\) 78.7999 + 609.914i 0.110126 + 0.852381i
\(81\) −516.928 + 514.030i −0.709091 + 0.705117i
\(82\) −130.450 + 4.19171i −0.175681 + 0.00564509i
\(83\) 171.861 + 144.208i 0.227279 + 0.190710i 0.749315 0.662214i \(-0.230383\pi\)
−0.522036 + 0.852924i \(0.674827\pi\)
\(84\) 660.761 + 383.174i 0.858273 + 0.497711i
\(85\) −94.2692 534.627i −0.120293 0.682217i
\(86\) −924.875 303.360i −1.15967 0.380374i
\(87\) 449.423 + 1545.94i 0.553830 + 1.90509i
\(88\) 1177.03 + 92.1938i 1.42581 + 0.111681i
\(89\) 425.857 + 245.869i 0.507199 + 0.292832i 0.731682 0.681647i \(-0.238736\pi\)
−0.224482 + 0.974478i \(0.572069\pi\)
\(90\) 428.634 595.627i 0.502022 0.697607i
\(91\) −939.991 + 542.704i −1.08283 + 0.625174i
\(92\) 1357.54 595.376i 1.53840 0.674699i
\(93\) −263.829 + 598.457i −0.294170 + 0.667280i
\(94\) 439.238 + 490.563i 0.481956 + 0.538274i
\(95\) −101.017 + 84.7630i −0.109096 + 0.0915421i
\(96\) 669.872 + 660.309i 0.712172 + 0.702005i
\(97\) −799.029 + 290.823i −0.836383 + 0.304419i −0.724476 0.689300i \(-0.757918\pi\)
−0.111907 + 0.993719i \(0.535696\pi\)
\(98\) 12.8995 8.01066i 0.0132964 0.00825713i
\(99\) −950.298 1040.00i −0.964733 1.05580i
\(100\) 115.861 234.230i 0.115861 0.234230i
\(101\) 75.6200 + 13.3338i 0.0744997 + 0.0131363i 0.210774 0.977535i \(-0.432402\pi\)
−0.136274 + 0.990671i \(0.543513\pi\)
\(102\) −617.530 555.048i −0.599457 0.538804i
\(103\) 271.584 746.171i 0.259806 0.713810i −0.739373 0.673296i \(-0.764878\pi\)
0.999179 0.0405143i \(-0.0128996\pi\)
\(104\) −1287.87 + 357.674i −1.21429 + 0.337239i
\(105\) 405.204 + 823.129i 0.376608 + 0.765040i
\(106\) 246.374 + 193.596i 0.225755 + 0.177394i
\(107\) −1385.05 −1.25138 −0.625689 0.780073i \(-0.715182\pi\)
−0.625689 + 0.780073i \(0.715182\pi\)
\(108\) −45.2403 1121.46i −0.0403079 0.999187i
\(109\) −485.933 −0.427009 −0.213505 0.976942i \(-0.568488\pi\)
−0.213505 + 0.976942i \(0.568488\pi\)
\(110\) 1115.05 + 876.181i 0.966504 + 0.759460i
\(111\) −433.237 28.7016i −0.370460 0.0245426i
\(112\) −1122.41 + 350.918i −0.946941 + 0.296059i
\(113\) −187.687 + 515.666i −0.156249 + 0.429290i −0.992974 0.118333i \(-0.962245\pi\)
0.836725 + 0.547623i \(0.184467\pi\)
\(114\) −41.7607 + 197.318i −0.0343092 + 0.162110i
\(115\) 1753.47 + 309.184i 1.42184 + 0.250709i
\(116\) −2221.73 1098.97i −1.77830 0.879628i
\(117\) 1413.66 + 738.433i 1.11704 + 0.583489i
\(118\) 1305.86 810.946i 1.01877 0.632658i
\(119\) 975.491 355.050i 0.751454 0.273507i
\(120\) 229.708 + 1106.20i 0.174745 + 0.841514i
\(121\) 1065.91 894.406i 0.800835 0.671980i
\(122\) 946.532 + 1057.14i 0.702418 + 0.784497i
\(123\) −238.369 + 25.9362i −0.174740 + 0.0190129i
\(124\) −404.432 922.158i −0.292896 0.667841i
\(125\) 1312.05 757.510i 0.938824 0.542030i
\(126\) 1264.00 + 609.410i 0.893696 + 0.430877i
\(127\) −918.434 530.258i −0.641715 0.370494i 0.143560 0.989642i \(-0.454145\pi\)
−0.785275 + 0.619147i \(0.787478\pi\)
\(128\) −1446.32 + 72.8382i −0.998734 + 0.0502973i
\(129\) −1736.62 426.243i −1.18528 0.290919i
\(130\) −1525.50 500.366i −1.02919 0.337577i
\(131\) −411.077 2331.33i −0.274168 1.55488i −0.741593 0.670850i \(-0.765929\pi\)
0.467425 0.884033i \(1.65482\pi\)
\(132\) 2168.96 + 4.14099i 1.43018 + 0.00273051i
\(133\) −193.166 162.086i −0.125937 0.105674i
\(134\) 654.467 21.0298i 0.421921 0.0135574i
\(135\) 701.797 1151.05i 0.447416 0.733826i
\(136\) 1272.42 122.998i 0.802274 0.0775513i
\(137\) 123.400 147.063i 0.0769548 0.0917111i −0.726193 0.687490i \(-0.758712\pi\)
0.803148 + 0.595779i \(0.203157\pi\)
\(138\) 2403.38 1280.60i 1.48253 0.789941i
\(139\) −1218.80 + 214.907i −0.743721 + 0.131138i −0.532653 0.846334i \(-0.678805\pi\)
−0.211067 + 0.977472i \(0.567694\pi\)
\(140\) −1355.61 396.900i −0.818359 0.239601i
\(141\) 873.245 + 837.127i 0.521564 + 0.499992i
\(142\) −2222.69 318.693i −1.31355 0.188339i
\(143\) −1541.07 + 2669.21i −0.901192 + 1.56091i
\(144\) 1319.47 + 1115.78i 0.763584 + 0.645708i
\(145\) −1488.62 2578.36i −0.852571 1.47670i
\(146\) 480.974 + 1200.06i 0.272642 + 0.680260i
\(147\) 22.5079 16.4792i 0.0126287 0.00924612i
\(148\) 483.439 461.676i 0.268503 0.256416i
\(149\) −688.324 820.313i −0.378454 0.451024i 0.542871 0.839816i \(-0.317337\pi\)
−0.921326 + 0.388791i \(0.872893\pi\)
\(150\) 179.449 445.273i 0.0976795 0.242376i
\(151\) 934.339 + 2567.07i 0.503546 + 1.38348i 0.887790 + 0.460249i \(0.152240\pi\)
−0.384244 + 0.923232i \(0.625538\pi\)
\(152\) −180.414 252.733i −0.0962732 0.134864i
\(153\) −1208.86 930.296i −0.638764 0.491568i
\(154\) −1279.74 + 2390.76i −0.669640 + 1.25099i
\(155\) 210.025 1191.11i 0.108836 0.617240i
\(156\) −2309.03 + 835.430i −1.18507 + 0.428769i
\(157\) −3186.44 1159.77i −1.61978 0.589552i −0.636440 0.771326i \(-0.719594\pi\)
−0.983340 + 0.181774i \(0.941816\pi\)
\(158\) −298.885 1425.65i −0.150494 0.717842i
\(159\) 478.399 + 320.143i 0.238613 + 0.159679i
\(160\) −1494.14 890.609i −0.738263 0.440055i
\(161\) 3404.74i 1.66665i
\(162\) −239.830 2047.93i −0.116314 0.993213i
\(163\) 3446.63i 1.65620i −0.560579 0.828101i \(-0.689422\pi\)
0.560579 0.828101i \(-0.310578\pi\)
\(164\) 218.647 297.443i 0.104106 0.141624i
\(165\) 2165.15 + 1448.91i 1.02155 + 0.683620i
\(166\) −621.052 + 130.202i −0.290379 + 0.0608773i
\(167\) 1464.96 + 533.201i 0.678814 + 0.247068i 0.658338 0.752722i \(-0.271260\pi\)
0.0204757 + 0.999790i \(0.493482\pi\)
\(168\) −2006.88 + 799.896i −0.921634 + 0.367341i
\(169\) 224.412 1272.71i 0.102145 0.579293i
\(170\) 1353.74 + 724.637i 0.610746 + 0.326924i
\(171\) −48.8796 + 367.288i −0.0218591 + 0.164253i
\(172\) 2290.93 1526.76i 1.01559 0.676827i
\(173\) 344.373 + 946.157i 0.151342 + 0.415809i 0.992076 0.125640i \(-0.0400983\pi\)
−0.840734 + 0.541449i \(0.817876\pi\)
\(174\) −4223.53 1702.11i −1.84014 0.741592i
\(175\) 385.806 + 459.786i 0.166653 + 0.198609i
\(176\) −2261.96 + 2456.56i −0.968757 + 1.05210i
\(177\) 2278.55 1668.24i 0.967606 0.708434i
\(178\) −1291.01 + 517.425i −0.543626 + 0.217880i
\(179\) 1611.21 + 2790.70i 0.672779 + 1.16529i 0.977113 + 0.212722i \(0.0682329\pi\)
−0.304333 + 0.952566i \(0.598434\pi\)
\(180\) 575.598 + 1994.16i 0.238348 + 0.825755i
\(181\) −330.455 + 572.366i −0.135705 + 0.235048i −0.925866 0.377851i \(-0.876663\pi\)
0.790162 + 0.612898i \(0.209997\pi\)
\(182\) 435.726 3038.92i 0.177462 1.23769i
\(183\) 1881.79 + 1803.96i 0.760143 + 0.728703i
\(184\) −1048.27 + 4059.58i −0.419996 + 1.62650i
\(185\) 790.733 139.428i 0.314248 0.0554104i
\(186\) −869.896 1632.59i −0.342924 0.643586i
\(187\) 1894.80 2258.13i 0.740970 0.883054i
\(188\) −1858.59 + 119.566i −0.721020 + 0.0463845i
\(189\) 2400.65 + 939.394i 0.923925 + 0.361539i
\(190\) −11.9786 372.786i −0.00457379 0.142341i
\(191\) −1338.61 1123.23i −0.507113 0.425518i 0.352999 0.935624i \(-0.385162\pi\)
−0.860112 + 0.510105i \(0.829606\pi\)
\(192\) −2639.15 + 335.852i −0.992000 + 0.126240i
\(193\) 753.723 + 4274.57i 0.281110 + 1.59425i 0.718860 + 0.695155i \(0.244664\pi\)
−0.437750 + 0.899097i \(0.644225\pi\)
\(194\) 749.565 2285.25i 0.277400 0.845728i
\(195\) −2864.41 703.049i −1.05192 0.258187i
\(196\) −4.72715 + 42.6873i −0.00172272 + 0.0155566i
\(197\) −3588.42 2071.78i −1.29779 0.749279i −0.317768 0.948169i \(-0.602933\pi\)
−0.980022 + 0.198889i \(0.936267\pi\)
\(198\) 3973.63 295.983i 1.42623 0.106235i
\(199\) −1084.99 + 626.421i −0.386498 + 0.223145i −0.680642 0.732617i \(-0.738299\pi\)
0.294144 + 0.955761i \(0.404966\pi\)
\(200\) 318.448 + 667.001i 0.112588 + 0.235821i
\(201\) 1195.90 130.122i 0.419662 0.0456620i
\(202\) −161.804 + 144.875i −0.0563589 + 0.0504623i
\(203\) 4361.19 3659.47i 1.50786 1.26524i
\(204\) 2313.58 403.394i 0.794034 0.138447i
\(205\) 416.671 151.656i 0.141959 0.0516688i
\(206\) 1184.86 + 1907.97i 0.400742 + 0.645313i
\(207\) 4223.22 2682.15i 1.41804 0.900592i
\(208\) 1455.17 3489.24i 0.485085 1.16315i
\(209\) −705.158 124.338i −0.233382 0.0411515i
\(210\) −2538.73 537.301i −0.834234 0.176559i
\(211\) −918.340 + 2523.12i −0.299626 + 0.823216i 0.694936 + 0.719072i \(0.255433\pi\)
−0.994562 + 0.104145i \(0.966790\pi\)
\(212\) −861.105 + 209.610i −0.278967 + 0.0679061i
\(213\) −4116.08 272.686i −1.32408 0.0877191i
\(214\) 2420.44 3080.30i 0.773168 0.983949i
\(215\) 3306.82 1.04894
\(216\) 2573.15 + 1859.19i 0.810558 + 0.585658i
\(217\) 2312.80 0.723516
\(218\) 849.195 1080.70i 0.263829 0.335754i
\(219\) 1049.00 + 2130.93i 0.323675 + 0.657512i
\(220\) −3897.21 + 948.658i −1.19432 + 0.290720i
\(221\) −1141.40 + 3135.98i −0.347417 + 0.954520i
\(222\) 820.937 913.350i 0.248188 0.276126i
\(223\) 5207.99 + 918.309i 1.56391 + 0.275760i 0.887516 0.460777i \(-0.152429\pi\)
0.676398 + 0.736537i \(0.263540\pi\)
\(224\) 1181.03 3109.45i 0.352282 0.927494i
\(225\) 266.389 840.758i 0.0789302 0.249113i
\(226\) −818.834 1318.57i −0.241009 0.388096i
\(227\) −3902.72 + 1420.47i −1.14111 + 0.415331i −0.842315 0.538986i \(-0.818808\pi\)
−0.298797 + 0.954317i \(0.596585\pi\)
\(228\) −365.851 437.699i −0.106268 0.127137i
\(229\) 3397.41 2850.77i 0.980381 0.822637i −0.00376603 0.999993i \(-0.501199\pi\)
0.984147 + 0.177356i \(0.0567543\pi\)
\(230\) −3751.89 + 3359.35i −1.07562 + 0.963082i
\(231\) −2009.59 + 4558.45i −0.572387 + 1.29837i
\(232\) 6326.67 3020.56i 1.79037 0.854781i
\(233\) −435.336 + 251.341i −0.122403 + 0.0706692i −0.559951 0.828526i \(-0.689180\pi\)
0.437549 + 0.899195i \(0.355847\pi\)
\(234\) −4112.71 + 1853.50i −1.14896 + 0.517807i
\(235\) −1937.34 1118.52i −0.537778 0.310486i
\(236\) −478.545 + 4321.37i −0.131994 + 1.19194i
\(237\) −747.026 2569.65i −0.204745 0.704290i
\(238\) −915.102 + 2789.93i −0.249232 + 0.759851i
\(239\) −273.123 1548.96i −0.0739198 0.419220i −0.999202 0.0399408i \(-0.987283\pi\)
0.925282 0.379279i \(1.87617\pi\)
\(240\) −2861.58 1422.28i −0.769643 0.382532i
\(241\) 1968.40 + 1651.68i 0.526123 + 0.441470i 0.866760 0.498725i \(-0.166198\pi\)
−0.340637 + 0.940195i \(0.610643\pi\)
\(242\) 126.396 + 3933.58i 0.0335747 + 1.04488i
\(243\) −725.945 3717.78i −0.191644 0.981465i
\(244\) −4005.16 + 257.659i −1.05084 + 0.0676021i
\(245\) −33.1594 + 39.5178i −0.00864683 + 0.0103049i
\(246\) 358.882 575.451i 0.0930140 0.149144i
\(247\) 798.323 140.766i 0.205652 0.0362620i
\(248\) 2757.62 + 712.076i 0.706085 + 0.182326i
\(249\) −1119.41 + 325.424i −0.284898 + 0.0828229i
\(250\) −608.189 + 4241.74i −0.153861 + 1.07309i
\(251\) −3816.86 + 6611.00i −0.959834 + 1.66248i −0.236936 + 0.971525i \(0.576143\pi\)
−0.722897 + 0.690955i \(0.757190\pi\)
\(252\) −3564.21 + 1746.12i −0.890969 + 0.436488i
\(253\) 4834.06 + 8372.84i 1.20124 + 2.08062i
\(254\) 2784.29 1115.92i 0.687803 0.275665i
\(255\) 2581.17 + 1137.91i 0.633878 + 0.279445i
\(256\) 2365.54 3343.87i 0.577523 0.816374i
\(257\) −945.824 1127.19i −0.229568 0.273588i 0.638948 0.769250i \(-0.279370\pi\)
−0.868516 + 0.495662i \(0.834926\pi\)
\(258\) 3982.80 3117.32i 0.961078 0.752233i
\(259\) 525.131 + 1442.79i 0.125985 + 0.346140i
\(260\) 3778.69 2518.25i 0.901325 0.600674i
\(261\) −7974.79 2526.77i −1.89129 0.599245i
\(262\) 5903.20 + 3159.91i 1.39199 + 0.745114i
\(263\) 220.856 1252.54i 0.0517816 0.293668i −0.947909 0.318541i \(-0.896807\pi\)
0.999691 + 0.0248732i \(0.00791819\pi\)
\(264\) −3799.58 + 4816.46i −0.885787 + 1.12285i
\(265\) −1000.31 364.084i −0.231882 0.0843981i
\(266\) 698.042 146.343i 0.160901 0.0337325i
\(267\) −2292.43 + 1128.50i −0.525447 + 0.258663i
\(268\) −1096.95 + 1492.27i −0.250025 + 0.340130i
\(269\) 4233.57i 0.959575i −0.877385 0.479787i \(-0.840714\pi\)
0.877385 0.479787i \(-0.159286\pi\)
\(270\) 1333.47 + 3572.30i 0.300565 + 0.805197i
\(271\) 6622.70i 1.48450i 0.670122 + 0.742251i \(0.266242\pi\)
−0.670122 + 0.742251i \(0.733758\pi\)
\(272\) −1950.08 + 3044.78i −0.434710 + 0.678738i
\(273\) 372.824 5627.61i 0.0826533 1.24761i
\(274\) 111.415 + 531.439i 0.0245650 + 0.117173i
\(275\) 1601.57 + 582.924i 0.351194 + 0.127824i
\(276\) −1352.01 + 7582.96i −0.294861 + 1.65377i
\(277\) −819.849 + 4649.60i −0.177834 + 1.00855i 0.756988 + 0.653429i \(0.226670\pi\)
−0.934822 + 0.355117i \(0.884441\pi\)
\(278\) 1651.97 3086.14i 0.356398 0.665806i
\(279\) −1821.95 2868.78i −0.390959 0.615590i
\(280\) 3251.70 2321.24i 0.694023 0.495431i
\(281\) −2137.68 5873.24i −0.453820 1.24686i −0.930015 0.367521i \(-0.880207\pi\)
0.476195 0.879340i \(-0.342016\pi\)
\(282\) −3387.79 + 479.149i −0.715390 + 0.101180i
\(283\) −5349.42 6375.19i −1.12364 1.33910i −0.934011 0.357245i \(-0.883716\pi\)
−0.189628 0.981856i \(1.43927\pi\)
\(284\) 4593.03 4386.26i 0.959670 0.916468i
\(285\) −74.1176 681.185i −0.0154047 0.141579i
\(286\) −3243.14 8091.87i −0.670528 1.67302i
\(287\) 423.951 + 734.304i 0.0871952 + 0.151026i
\(288\) −4787.32 + 984.582i −0.979499 + 0.201448i
\(289\) −860.615 + 1490.63i −0.175171 + 0.303405i
\(290\) 8335.64 + 1195.18i 1.68788 + 0.242012i
\(291\) 1053.19 4290.98i 0.212162 0.864404i
\(292\) −3509.44 1027.50i −0.703337 0.205925i
\(293\) 1016.72 179.274i 0.202721 0.0357451i −0.0713656 0.997450i \(-0.522736\pi\)
0.274086 + 0.961705i \(0.411625\pi\)
\(294\) −2.68455 + 78.8552i −0.000532537 + 0.0156426i
\(295\) −3356.83 + 4000.52i −0.662516 + 0.789556i
\(296\) 181.918 + 1881.96i 0.0357222 + 0.369549i
\(297\) 7237.38 1098.33i 1.41399 0.214584i
\(298\) 3027.24 97.2732i 0.588467 0.0189090i
\(299\) −8384.71 7035.61i −1.62174 1.36080i
\(300\) 676.680 + 1177.23i 0.130227 + 0.226558i
\(301\) 1098.04 + 6227.30i 0.210266 + 1.19248i
\(302\) −7341.91 2408.16i −1.39894 0.458854i
\(303\) −276.112 + 288.025i −0.0523506 + 0.0546093i
\(304\) 877.354 + 40.4276i 0.165525 + 0.00762724i
\(305\) −4174.85 2410.35i −0.783774 0.452512i
\(306\) 4181.51 1062.74i 0.781179 0.198538i
\(307\) −4655.14 + 2687.65i −0.865416 + 0.499648i −0.865822 0.500352i \(-0.833204\pi\)
0.000406119 1.00000i \(0.499871\pi\)
\(308\) −3080.56 7024.09i −0.569907 1.29946i
\(309\) 2437.43 + 3329.14i 0.448740 + 0.612907i
\(310\) 2281.96 + 2548.62i 0.418087 + 0.466941i
\(311\) 1484.30 1245.48i 0.270633 0.227088i −0.497363 0.867542i \(-0.665698\pi\)
0.767996 + 0.640454i \(0.221254\pi\)
\(312\) 2177.19 6595.19i 0.395061 1.19673i
\(313\) −2268.86 + 825.799i −0.409724 + 0.149128i −0.538656 0.842526i \(-0.681068\pi\)
0.128931 + 0.991654i \(0.458845\pi\)
\(314\) 8147.77 5059.79i 1.46435 0.909365i
\(315\) −4725.60 628.893i −0.845261 0.112489i
\(316\) 3692.93 + 1826.70i 0.657417 + 0.325189i
\(317\) 546.031 + 96.2799i 0.0967449 + 0.0170587i 0.221811 0.975090i \(-0.428803\pi\)
−0.125066 + 0.992148i \(0.539914\pi\)
\(318\) −1548.02 + 504.480i −0.272983 + 0.0889618i
\(319\) 5529.18 15191.3i 0.970453 2.66630i
\(320\) 4591.78 1766.54i 0.802151 0.308601i
\(321\) 4002.59 5981.20i 0.695959 1.03999i
\(322\) −7572.05 5949.97i −1.31048 1.02975i
\(323\) −775.302 −0.133557
\(324\) 4973.65 + 3045.49i 0.852821 + 0.522203i
\(325\) −1929.53 −0.329327
\(326\) 7665.21 + 6023.17i 1.30226 + 1.02329i
\(327\) 1404.28 2098.46i 0.237483 0.354878i
\(328\) 279.408 + 1006.06i 0.0470358 + 0.169361i
\(329\) 1463.07 4019.74i 0.245171 0.673603i
\(330\) −7006.04 + 2283.19i −1.16870 + 0.380864i
\(331\) −5590.47 985.750i −0.928338 0.163691i −0.311019 0.950404i \(-0.600670\pi\)
−0.617319 + 0.786713i \(0.711781\pi\)
\(332\) 795.756 1608.74i 0.131545 0.265937i
\(333\) 1375.94 1787.95i 0.226430 0.294232i
\(334\) −3745.92 + 2326.23i −0.613676 + 0.381095i
\(335\) −2090.43 + 760.856i −0.340933 + 0.124090i
\(336\) 1728.19 5861.12i 0.280597 0.951637i
\(337\) −4882.71 + 4097.08i −0.789252 + 0.662261i −0.945560 0.325447i \(-0.894485\pi\)
0.156308 + 0.987708i \(0.450041\pi\)
\(338\) 2438.29 + 2723.21i 0.392383 + 0.438234i
\(339\) −1684.47 2300.72i −0.269876 0.368607i
\(340\) −3977.30 + 1744.33i −0.634410 + 0.278234i
\(341\) 5687.57 3283.72i 0.903224 0.521476i
\(342\) −731.419 750.563i −0.115645 0.118672i
\(343\) −5543.59 3200.59i −0.872670 0.503836i
\(344\) −608.063 + 7763.07i −0.0953039 + 1.21673i
\(345\) −6402.46 + 6678.70i −0.999121 + 1.04223i
\(346\) −2706.04 887.584i −0.420455 0.137910i
\(347\) 473.597 + 2685.90i 0.0732681 + 0.415524i 0.999277 + 0.0380221i \(0.0121057\pi\)
−0.926009 + 0.377502i \(0.876783\pi\)
\(348\) 11166.3 6418.47i 1.72005 0.988696i
\(349\) 5235.18 + 4392.84i 0.802959 + 0.673763i 0.948916 0.315528i \(-0.102182\pi\)
−0.145957 + 0.989291i \(0.546626\pi\)
\(350\) −1696.77 + 54.5218i −0.259132 + 0.00832660i
\(351\) −7274.15 + 3970.81i −1.10617 + 0.603836i
\(352\) −1510.44 9323.51i −0.228712 1.41177i
\(353\) −2870.02 + 3420.35i −0.432736 + 0.515714i −0.937709 0.347420i \(-0.887058\pi\)
0.504974 + 0.863135i \(0.331502\pi\)
\(354\) −271.765 + 7982.78i −0.0408027 + 1.19853i
\(355\) 7512.55 1324.67i 1.12317 0.198045i
\(356\) 1105.37 3775.41i 0.164564 0.562068i
\(357\) −1285.78 + 5238.62i −0.190619 + 0.776630i
\(358\) −9022.11 1293.61i −1.33194 0.190976i
\(359\) 2360.36 4088.27i 0.347006 0.601032i −0.638710 0.769447i \(-0.720532\pi\)
0.985716 + 0.168416i \(0.0538651\pi\)
\(360\) −5440.85 2204.79i −0.796550 0.322785i
\(361\) −3335.34 5776.97i −0.486272 0.842247i
\(362\) −695.437 1735.16i −0.100971 0.251929i
\(363\) 782.077 + 7187.75i 0.113081 + 1.03928i
\(364\) 5997.02 + 6279.72i 0.863542 + 0.904249i
\(365\) −2823.31 3364.69i −0.404873 0.482509i
\(366\) −7300.50 + 1032.54i −1.04263 + 0.147464i
\(367\) 1645.76 + 4521.68i 0.234081 + 0.643133i 1.00000 0.000195436i \(6.22092e-5\pi\)
−0.765919 + 0.642937i \(0.777716\pi\)
\(368\) −7196.49 9425.65i −1.01941 1.33518i
\(369\) 576.851 1104.33i 0.0813812 0.155797i
\(370\) −1071.77 + 2002.23i −0.150590 + 0.281326i
\(371\) 353.474 2004.65i 0.0494649 0.280529i
\(372\) 5151.01 + 918.406i 0.717924 + 0.128003i
\(373\) 8402.54 + 3058.28i 1.16640 + 0.424535i 0.851380 0.524550i \(-0.175766\pi\)
0.315020 + 0.949085i \(0.397989\pi\)
\(374\) 1710.76 + 8160.19i 0.236528 + 1.12822i
\(375\) −520.391 + 7855.06i −0.0716610 + 1.08169i
\(376\) 2982.08 4342.40i 0.409013 0.595592i
\(377\) 18302.1i 2.50028i
\(378\) −6284.46 + 3697.35i −0.855126 + 0.503098i
\(379\) 6105.87i 0.827540i 0.910381 + 0.413770i \(0.135788\pi\)
−0.910381 + 0.413770i \(0.864212\pi\)
\(380\) 850.000 + 624.824i 0.114748 + 0.0843494i
\(381\) 4944.02 2433.80i 0.664803 0.327264i
\(382\) 4837.33 1014.13i 0.647904 0.135831i
\(383\) 6460.76 + 2351.52i 0.861957 + 0.313727i 0.734906 0.678170i \(-0.237226\pi\)
0.127051 + 0.991896i \(0.459449\pi\)
\(384\) 3865.13 6456.31i 0.513649 0.858000i
\(385\) 1599.76 9072.69i 0.211770 1.20101i
\(386\) −10823.7 5793.79i −1.42723 0.763980i
\(387\) 6859.30 6267.68i 0.900976 0.823266i
\(388\) 3772.43 + 5660.61i 0.493598 + 0.740654i
\(389\) −566.701 1557.00i −0.0738635 0.202938i 0.897266 0.441489i \(-0.145550\pi\)
−0.971130 + 0.238551i \(0.923328\pi\)
\(390\) 6569.27 5141.74i 0.852943 0.667596i
\(391\) 6728.93 + 8019.22i 0.870324 + 1.03721i
\(392\) −86.6744 85.1114i −0.0111676 0.0109663i
\(393\) 11255.6 + 4962.04i 1.44471 + 0.636900i
\(394\) 10878.5 4360.01i 1.39100 0.557498i
\(395\) 2474.36 + 4285.72i 0.315186 + 0.545919i
\(396\) −6285.87 + 9354.48i −0.797669 + 1.18707i
\(397\) 1674.27 2899.92i 0.211660 0.366606i −0.740574 0.671975i \(-0.765446\pi\)
0.952234 + 0.305369i \(0.0987797\pi\)
\(398\) 502.941 3507.70i 0.0633420 0.441771i
\(399\) 1258.18 365.766i 0.157864 0.0458927i
\(400\) −2039.90 457.402i −0.254987 0.0571752i
\(401\) −13677.2 + 2411.66i −1.70326 + 0.300331i −0.938832 0.344376i \(-0.888091\pi\)
−0.764430 + 0.644707i \(0.776979\pi\)
\(402\) −1800.51 + 2887.03i −0.223386 + 0.358190i
\(403\) −4779.20 + 5695.63i −0.590742 + 0.704019i
\(404\) −39.4370 613.025i −0.00485659 0.0754929i
\(405\) 2942.61 + 6357.02i 0.361035 + 0.779958i
\(406\) 517.152 + 16094.3i 0.0632163 + 1.96735i
\(407\) 3339.86 + 2802.48i 0.406759 + 0.341311i
\(408\) −3145.97 + 5850.29i −0.381737 + 0.709884i
\(409\) −1503.65 8527.62i −0.181787 1.03096i −0.930015 0.367522i \(-0.880206\pi\)
0.748228 0.663441i \(-0.230905\pi\)
\(410\) −390.877 + 1191.69i −0.0470830 + 0.143545i
\(411\) 278.468 + 957.885i 0.0334205 + 0.114961i
\(412\) −6313.87 699.192i −0.755005 0.0836086i
\(413\) −8648.30 4993.10i −1.03040 0.594901i
\(414\) −1415.27 + 14079.5i −0.168012 + 1.67143i
\(415\) 1866.97 1077.90i 0.220834 0.127498i
\(416\) 5217.00 + 9333.89i 0.614867 + 1.10008i
\(417\) 2594.10 5884.33i 0.304637 0.691024i
\(418\) 1508.83 1350.96i 0.176553 0.158081i
\(419\) −76.7315 + 64.3854i −0.00894649 + 0.00750700i −0.647250 0.762278i \(-0.724081\pi\)
0.638303 + 0.769785i \(0.279637\pi\)
\(420\) 5631.52 4707.11i 0.654261 0.546865i
\(421\) −8088.51 + 2943.98i −0.936365 + 0.340809i −0.764730 0.644351i \(-0.777127\pi\)
−0.171636 + 0.985160i \(0.554905\pi\)
\(422\) −4006.50 6451.65i −0.462164 0.744221i
\(423\) −6138.62 + 1351.85i −0.705603 + 0.155388i
\(424\) 1038.66 2281.38i 0.118967 0.261306i
\(425\) 1817.39 + 320.455i 0.207427 + 0.0365749i
\(426\) 7799.51 8677.51i 0.887060 0.986917i
\(427\) 3152.82 8662.31i 0.357320 0.981730i
\(428\) 2620.66 + 10766.0i 0.295968 + 1.21587i
\(429\) −7073.26 14368.6i −0.796038 1.61707i
\(430\) −5778.84 + 7354.27i −0.648094 + 0.824778i
\(431\) −6014.74 −0.672204 −0.336102 0.941826i \(-0.609109\pi\)
−0.336102 + 0.941826i \(0.609109\pi\)
\(432\) −8631.51 + 2473.57i −0.961305 + 0.275486i
\(433\) −6981.73 −0.774875 −0.387437 0.921896i \(-0.626640\pi\)
−0.387437 + 0.921896i \(0.626640\pi\)
\(434\) −4041.74 + 5143.60i −0.447027 + 0.568896i
\(435\) 15436.3 + 1022.64i 1.70141 + 0.112717i
\(436\) 919.439 + 3777.17i 0.100993 + 0.414894i
\(437\) 869.700 2389.48i 0.0952023 0.261566i
\(438\) −6572.32 1390.98i −0.716981 0.151743i
\(439\) −1124.05 198.201i −0.122205 0.0215481i 0.112211 0.993684i \(-0.464207\pi\)
−0.234416 + 0.972136i \(0.575318\pi\)
\(440\) 4700.79 10325.1i 0.509321 1.11871i
\(441\) 6.11914 + 144.821i 0.000660743 + 0.0156377i
\(442\) −4979.67 8018.75i −0.535880 0.862925i
\(443\) −4495.50 + 1636.23i −0.482139 + 0.175484i −0.571643 0.820502i \(-0.693694\pi\)
0.0895045 + 0.995986i \(0.471472\pi\)
\(444\) 596.634 + 3421.87i 0.0637725 + 0.365754i
\(445\) 3619.68 3037.27i 0.385594 0.323552i
\(446\) −11143.5 + 9977.63i −1.18310 + 1.05932i
\(447\) 5531.61 601.877i 0.585316 0.0636864i
\(448\) 4851.41 + 8060.52i 0.511624 + 0.850053i
\(449\) 10728.4 6194.02i 1.12762 0.651033i 0.184287 0.982873i \(-0.441003\pi\)
0.943336 + 0.331839i \(0.107669\pi\)
\(450\) 1404.29 + 2061.71i 0.147109 + 0.215978i
\(451\) 2085.14 + 1203.85i 0.217706 + 0.125692i
\(452\) 4363.41 + 483.200i 0.454066 + 0.0502828i
\(453\) −13785.8 3383.63i −1.42983 0.350942i
\(454\) 3661.11 11161.9i 0.378468 1.15386i
\(455\) 1811.12 + 10271.4i 0.186608 + 1.05831i
\(456\) 1612.78 48.7407i 0.165625 0.00500546i
\(457\) 4498.71 + 3774.87i 0.460484 + 0.386392i 0.843309 0.537429i \(-0.180604\pi\)
−0.382825 + 0.923821i \(0.625049\pi\)
\(458\) 402.867 + 12537.6i 0.0411021 + 1.27914i
\(459\) 7510.85 2531.95i 0.763783 0.257475i
\(460\) −914.460 14214.8i −0.0926890 1.44080i
\(461\) −3282.64 + 3912.10i −0.331644 + 0.395238i −0.905937 0.423412i \(-0.860832\pi\)
0.574294 + 0.818649i \(0.305277\pi\)
\(462\) −6626.01 12435.4i −0.667251 1.25227i
\(463\) 12453.4 2195.87i 1.25002 0.220412i 0.490815 0.871264i \(-0.336699\pi\)
0.759205 + 0.650851i \(0.225588\pi\)
\(464\) −4338.57 + 19348.9i −0.434080 + 1.93589i
\(465\) 4536.76 + 4349.11i 0.452445 + 0.433732i
\(466\) 201.797 1407.41i 0.0200602 0.139907i
\(467\) 9139.44 15830.0i 0.905617 1.56857i 0.0855298 0.996336i \(-0.472742\pi\)
0.820087 0.572239i \(-0.193925\pi\)
\(468\) 3065.06 12385.6i 0.302740 1.22335i
\(469\) −2126.96 3684.00i −0.209411 0.362710i
\(470\) 5873.16 2353.91i 0.576401 0.231016i
\(471\) 14216.7 10408.8i 1.39081 1.01828i
\(472\) −8774.34 8616.11i −0.855660 0.840230i
\(473\) 11541.8 + 13755.0i 1.12197 + 1.33711i
\(474\) 7020.30 + 2829.24i 0.680281 + 0.274159i
\(475\) −153.316 421.232i −0.0148097 0.0406894i
\(476\) −4605.54 6910.72i −0.443476 0.665446i
\(477\) −2765.02 + 1140.76i −0.265412 + 0.109500i
\(478\) 3922.13 + 2099.47i 0.375302 + 0.200894i
\(479\) −1196.57 + 6786.11i −0.114140 + 0.647318i 0.873033 + 0.487661i \(0.162150\pi\)
−0.987173 + 0.159657i \(0.948961\pi\)
\(480\) 8163.88 3878.57i 0.776309 0.368816i
\(481\) −4638.23 1688.18i −0.439678 0.160030i
\(482\) −7113.18 + 1491.26i −0.672192 + 0.140923i
\(483\) −14703.1 9839.23i −1.38512 0.926916i
\(484\) −8969.06 6593.04i −0.842323 0.619181i
\(485\) 8170.72i 0.764976i
\(486\) 9536.88 + 4882.55i 0.890127 + 0.455714i
\(487\) 4509.20i 0.419571i 0.977747 + 0.209786i \(0.0672766\pi\)
−0.977747 + 0.209786i \(0.932723\pi\)
\(488\) 6426.20 9357.63i 0.596108 0.868033i
\(489\) 14884.0 + 9960.28i 1.37643 + 0.921104i
\(490\) −29.9387 142.805i −0.00276019 0.0131659i
\(491\) 5554.97 + 2021.84i 0.510575 + 0.185834i 0.584444 0.811434i \(-0.301313\pi\)
−0.0738693 + 0.997268i \(0.523535\pi\)
\(492\) 652.623 + 1803.78i 0.0598019 + 0.165286i
\(493\) 3039.59 17238.4i 0.277680 1.57480i
\(494\) −1082.05 + 2021.44i −0.0985503 + 0.184107i
\(495\) −12514.0 + 5162.86i −1.13628 + 0.468795i
\(496\) −6402.73 + 4888.49i −0.579619 + 0.442539i
\(497\) 4989.14 + 13707.5i 0.450289 + 1.23716i
\(498\) 1232.49 3058.23i 0.110902 0.275185i
\(499\) −4590.83 5471.13i −0.411851 0.490825i 0.519745 0.854322i \(-0.326027\pi\)
−0.931595 + 0.363497i \(0.881583\pi\)
\(500\) −8370.68 8765.27i −0.748696 0.783990i
\(501\) −6536.11 + 4785.42i −0.582858 + 0.426740i
\(502\) −8032.51 20041.7i −0.714160 1.78188i
\(503\) −4814.95 8339.73i −0.426815 0.739265i 0.569773 0.821802i \(-0.307031\pi\)
−0.996588 + 0.0825370i \(0.973698\pi\)
\(504\) 2345.34 10978.1i 0.207281 0.970249i
\(505\) 368.926 638.998i 0.0325089 0.0563070i
\(506\) −27068.8 3881.17i −2.37817 0.340986i
\(507\) 4847.55 + 4647.05i 0.424630 + 0.407067i
\(508\) −2383.93 + 8142.32i −0.208208 + 0.711135i
\(509\) 15088.6 2660.54i 1.31393 0.231682i 0.527605 0.849490i \(-0.323090\pi\)
0.786329 + 0.617808i \(0.211979\pi\)
\(510\) −7041.40 + 3751.89i −0.611369 + 0.325758i
\(511\) 5398.78 6434.02i 0.467374 0.556995i
\(512\) 3302.77 + 11104.5i 0.285085 + 0.958502i
\(513\) −1444.85 1272.49i −0.124350 0.109517i
\(514\) 4159.72 133.663i 0.356960 0.0114701i
\(515\) −5845.07 4904.60i −0.500126 0.419655i
\(516\) −27.3119 + 14305.3i −0.00233011 + 1.22046i
\(517\) −2109.31 11962.5i −0.179434 1.01762i
\(518\) −4126.41 1353.47i −0.350008 0.114803i
\(519\) −5081.09 1247.12i −0.429740 0.105477i
\(520\) −1002.94 + 12804.5i −0.0845808 + 1.07983i
\(521\) 1038.32 + 599.473i 0.0873119 + 0.0504096i 0.543020 0.839720i \(-0.317281\pi\)
−0.455708 + 0.890129i \(0.650614\pi\)
\(522\) 19555.8 13320.1i 1.63972 1.11686i
\(523\) −3988.69 + 2302.87i −0.333486 + 0.192538i −0.657388 0.753552i \(-0.728339\pi\)
0.323902 + 0.946091i \(0.395005\pi\)
\(524\) −17343.7 + 7606.45i −1.44592 + 0.634140i
\(525\) −3100.47 + 337.353i −0.257744 + 0.0280443i
\(526\) 2399.65 + 2680.05i 0.198916 + 0.222159i
\(527\) 5447.36 4570.88i 0.450267 0.377819i
\(528\) −4071.72 16867.2i −0.335604 1.39025i
\(529\) −20830.2 + 7581.58i −1.71203 + 0.623127i
\(530\) 2557.81 1588.41i 0.209631 0.130181i
\(531\) 619.461 + 14660.7i 0.0506258 + 1.19816i
\(532\) −894.404 + 1808.17i −0.0728897 + 0.147357i
\(533\) −2684.40 473.332i −0.218150 0.0384658i
\(534\) 1496.39 7070.42i 0.121265 0.572972i
\(535\) −4551.97 + 12506.4i −0.367848 + 1.01065i
\(536\) −1401.79 5047.40i −0.112963 0.406744i
\(537\) −16707.6 1106.86i −1.34262 0.0889471i
\(538\) 9415.35 + 7398.40i 0.754507 + 0.592877i
\(539\) −280.114 −0.0223847
\(540\) −10275.0 3277.18i −0.818826 0.261162i
\(541\) 21417.2 1.70202 0.851012 0.525145i \(-0.175989\pi\)
0.851012 + 0.525145i \(0.175989\pi\)
\(542\) −14728.7 11573.5i −1.16725 0.917205i
\(543\) −1516.74 3081.10i −0.119870 0.243504i
\(544\) −3363.63 9657.84i −0.265100 0.761170i
\(545\) −1597.03 + 4387.79i −0.125521 + 0.344867i
\(546\) 11864.1 + 10663.7i 0.929922 + 0.835832i
\(547\) 13460.6 + 2373.46i 1.05216 + 0.185525i 0.672876 0.739755i \(-0.265059\pi\)
0.379286 + 0.925280i \(0.376170\pi\)
\(548\) −1376.61 680.935i −0.107310 0.0530805i
\(549\) −13228.4 + 2913.16i −1.02837 + 0.226468i
\(550\) −4095.24 + 2543.16i −0.317494 + 0.197165i
\(551\) −3995.49 + 1454.24i −0.308918 + 0.112437i
\(552\) −14501.6 16258.5i −1.11817 1.25364i
\(553\) −7249.12 + 6082.73i −0.557439 + 0.467747i
\(554\) −8907.84 9948.74i −0.683137 0.762963i
\(555\) −1683.00 + 3817.64i −0.128720 + 0.291981i
\(556\) 3976.58 + 9067.12i 0.303317 + 0.691604i
\(557\) 3889.83 2245.79i 0.295902 0.170839i −0.344698 0.938713i \(-0.612019\pi\)
0.640600 + 0.767874i \(0.278686\pi\)
\(558\) 9564.06 + 961.377i 0.725589 + 0.0729361i
\(559\) −17604.7 10164.1i −1.33202 0.769043i
\(560\) −520.148 + 11288.2i −0.0392505 + 0.851809i
\(561\) 4275.85 + 14708.2i 0.321794 + 1.10692i
\(562\) 16797.6 + 5509.65i 1.26079 + 0.413542i
\(563\) −263.958 1496.98i −0.0197593 0.112061i 0.973333 0.229397i \(-0.0736755\pi\)
−0.993092 + 0.117337i \(0.962564\pi\)
\(564\) 4854.73 8371.69i 0.362449 0.625021i
\(565\) 4039.43 + 3389.49i 0.300779 + 0.252384i
\(566\) 23526.6 755.974i 1.74717 0.0561413i
\(567\) −10994.3 + 7652.30i −0.814312 + 0.566784i
\(568\) 1728.36 + 17880.0i 0.127677 + 1.32082i
\(569\) 9677.56 11533.3i 0.713013 0.849735i −0.280919 0.959731i \(-0.590639\pi\)
0.993932 + 0.109996i \(0.0350838\pi\)
\(570\) 1644.46 + 1025.57i 0.120840 + 0.0753623i
\(571\) −6147.94 + 1084.05i −0.450584 + 0.0794501i −0.394335 0.918967i \(-0.629025\pi\)
−0.0562486 + 0.998417i \(0.517914\pi\)
\(572\) 23663.7 + 6928.32i 1.72977 + 0.506447i
\(573\) 8718.98 2534.70i 0.635673 0.184797i
\(574\) −2373.95 340.381i −0.172625 0.0247513i
\(575\) −3026.31 + 5241.72i −0.219488 + 0.380165i
\(576\) 6176.42 12367.5i 0.446790 0.894639i
\(577\) −2246.17 3890.48i −0.162061 0.280698i 0.773547 0.633739i \(-0.218481\pi\)
−0.935608 + 0.353041i \(0.885148\pi\)
\(578\) −1811.15 4518.94i −0.130335 0.325195i
\(579\) −20637.5 9098.04i −1.48129 0.653026i
\(580\) −17225.0 + 16449.6i −1.23316 + 1.17764i
\(581\) 2649.79 + 3157.90i 0.189212 + 0.225494i
\(582\) 7702.51 + 9840.99i 0.548590 + 0.700897i
\(583\) −1976.96 5431.65i −0.140441 0.385859i
\(584\) 8418.07 6009.28i 0.596477 0.425797i
\(585\) 11313.8 10338.0i 0.799603 0.730637i
\(586\) −1378.06 + 2574.44i −0.0971456 + 0.181483i
\(587\) 313.508 1777.99i 0.0220440 0.125018i −0.971800 0.235807i \(-0.924227\pi\)
0.993844 + 0.110789i \(0.0353378\pi\)
\(588\) −170.681 143.774i −0.0119707 0.0100836i
\(589\) −1623.15 590.777i −0.113549 0.0413286i
\(590\) −3030.80 14456.6i −0.211485 1.00876i
\(591\) 19316.8 9509.14i 1.34448 0.661851i
\(592\) −4503.34 2884.24i −0.312645 0.200239i
\(593\) 14057.3i 0.973467i −0.873551 0.486733i \(-0.838188\pi\)
0.873551 0.486733i \(-0.161812\pi\)
\(594\) −10205.1 + 18015.1i −0.704913 + 1.24439i
\(595\) 9975.18i 0.687299i
\(596\) −5073.93 + 6902.48i −0.348718 + 0.474390i
\(597\) 430.336 6495.72i 0.0295016 0.445313i
\(598\) 30299.7 6352.26i 2.07199 0.434387i
\(599\) −5522.78 2010.13i −0.376719 0.137115i 0.146719 0.989178i \(-0.453129\pi\)
−0.523438 + 0.852064i \(0.675351\pi\)
\(600\) −3800.66 552.353i −0.258602 0.0375829i
\(601\) 4772.36 27065.4i 0.323908 1.83697i −0.193336 0.981133i \(-0.561931\pi\)
0.517243 0.855838i \(-0.326958\pi\)
\(602\) −15768.2 8440.53i −1.06755 0.571445i
\(603\) −2894.06 + 5540.41i −0.195448 + 0.374167i
\(604\) 18186.1 12119.8i 1.22513 0.816471i
\(605\) −4573.01 12564.2i −0.307305 0.844313i
\(606\) −158.039 1117.41i −0.0105939 0.0749035i
\(607\) −6406.53 7635.01i −0.428391 0.510536i 0.508067 0.861318i \(-0.330360\pi\)
−0.936457 + 0.350782i \(0.885916\pi\)
\(608\) −1623.13 + 1880.56i −0.108268 + 0.125439i
\(609\) 3199.87 + 29408.8i 0.212915 + 1.95682i
\(610\) 12656.3 5072.53i 0.840065 0.336690i
\(611\) 6875.94 + 11909.5i 0.455272 + 0.788553i
\(612\) −4943.91 + 11156.7i −0.326545 + 0.736903i
\(613\) −2983.90 + 5168.26i −0.196604 + 0.340529i −0.947425 0.319977i \(-0.896325\pi\)
0.750821 + 0.660506i \(0.229658\pi\)
\(614\) 2157.86 15049.7i 0.141831 0.989180i
\(615\) −549.209 + 2237.62i −0.0360102 + 0.146715i
\(616\) 21004.8 + 5423.89i 1.37388 + 0.354764i
\(617\) −13038.2 + 2298.98i −0.850723 + 0.150005i −0.581977 0.813205i \(-0.697721\pi\)
−0.268747 + 0.963211i \(0.586609\pi\)
\(618\) −11663.5 397.071i −0.759181 0.0258455i
\(619\) 329.796 393.035i 0.0214146 0.0255209i −0.755231 0.655459i \(-0.772475\pi\)
0.776645 + 0.629938i \(0.216920\pi\)
\(620\) −9655.91 + 621.182i −0.625469 + 0.0402375i
\(621\) −621.884 + 25988.7i −0.0401857 + 1.67937i
\(622\) 176.009 + 5477.58i 0.0113462 + 0.353104i
\(623\) 6921.63 + 5807.94i 0.445119 + 0.373499i
\(624\) 10862.8 + 16367.4i 0.696889 + 1.05004i
\(625\) −1818.95 10315.8i −0.116413 0.660209i
\(626\) 2128.41 6489.02i 0.135892 0.414302i
\(627\) 2574.76 2685.84i 0.163997 0.171072i
\(628\) −2985.82 + 26962.7i −0.189725 + 1.71326i
\(629\) 4088.29 + 2360.37i 0.259158 + 0.149625i
\(630\) 9656.88 9410.57i 0.610697 0.595121i
\(631\) −5356.56 + 3092.61i −0.337942 + 0.195111i −0.659362 0.751826i \(-0.729173\pi\)
0.321420 + 0.946937i \(0.395840\pi\)
\(632\) −10516.1 + 5020.74i −0.661881 + 0.316003i
\(633\) −8241.99 11257.2i −0.517519 0.706848i
\(634\) −1168.34 + 1046.10i −0.0731874 + 0.0655300i
\(635\) −7806.47 + 6550.41i −0.487859 + 0.409362i
\(636\) 1583.29 4324.35i 0.0987132 0.269610i
\(637\) 297.998 108.462i 0.0185355 0.00674636i
\(638\) 24122.5 + 38844.3i 1.49689 + 2.41044i
\(639\) 13072.5 16986.9i 0.809294 1.05163i
\(640\) −4095.65 + 13299.1i −0.252961 + 0.821396i
\(641\) 17534.2 + 3091.75i 1.08043 + 0.190510i 0.685407 0.728160i \(-0.259624\pi\)
0.395027 + 0.918670i \(0.370735\pi\)
\(642\) 6307.28 + 19354.1i 0.387739 + 1.18979i
\(643\) −4994.86 + 13723.3i −0.306342 + 0.841669i 0.687020 + 0.726639i \(0.258919\pi\)
−0.993362 + 0.115030i \(0.963304\pi\)
\(644\) 26465.1 6442.14i 1.61937 0.394186i
\(645\) −9556.25 + 14280.2i −0.583375 + 0.871756i
\(646\) 1354.88 1724.25i 0.0825188 0.105015i
\(647\) −7016.36 −0.426340 −0.213170 0.977015i \(-0.568379\pi\)
−0.213170 + 0.977015i \(0.568379\pi\)
\(648\) −15464.8 + 5739.11i −0.937523 + 0.347922i
\(649\) −28356.9 −1.71511
\(650\) 3371.96 4291.23i 0.203476 0.258947i
\(651\) −6683.67 + 9987.62i −0.402387 + 0.601299i
\(652\) −26790.7 + 6521.40i −1.60921 + 0.391714i
\(653\) 7805.27 21444.8i 0.467755 1.28515i −0.451778 0.892131i \(-0.649210\pi\)
0.919532 0.393015i \(-0.128568\pi\)
\(654\) 2212.86 + 6790.26i 0.132309 + 0.405994i
\(655\) −22402.1 3950.09i −1.33637 0.235638i
\(656\) −2725.73 1136.75i −0.162229 0.0676565i
\(657\) −12233.7 1628.09i −0.726458 0.0966787i
\(658\) 6383.01 + 10278.5i 0.378169 + 0.608965i
\(659\) −1097.14 + 399.326i −0.0648536 + 0.0236048i −0.374243 0.927331i \(-0.622097\pi\)
0.309390 + 0.950935i \(0.399875\pi\)
\(660\) 7165.69 19571.2i 0.422613 1.15426i
\(661\) −4145.23 + 3478.26i −0.243919 + 0.204673i −0.756549 0.653937i \(-0.773116\pi\)
0.512629 + 0.858610i \(0.328672\pi\)
\(662\) 11961.9 10710.4i 0.702286 0.628809i
\(663\) −10244.0 13991.6i −0.600064 0.819591i
\(664\) 2187.16 + 4581.10i 0.127829 + 0.267743i
\(665\) −2098.41 + 1211.52i −0.122365 + 0.0706477i
\(666\) 1571.83 + 6184.60i 0.0914521 + 0.359832i
\(667\) 49719.0 + 28705.3i 2.88625 + 1.66638i
\(668\) 1372.73 12396.0i 0.0795095 0.717990i
\(669\) −19016.0 + 19836.5i −1.09896 + 1.14637i
\(670\) 1961.02 5978.71i 0.113076 0.344743i
\(671\) −4545.45 25778.5i −0.261513 1.48311i
\(672\) 10014.9 + 14086.1i 0.574898 + 0.808604i
\(673\) 13193.5 + 11070.7i 0.755682 + 0.634092i 0.936999 0.349332i \(-0.113592\pi\)
−0.181317 + 0.983425i \(0.558036\pi\)
\(674\) −578.995 18018.9i −0.0330891 1.02976i
\(675\) 2860.91 + 3580.05i 0.163136 + 0.204143i
\(676\) −10317.4 + 663.736i −0.587016 + 0.0377638i
\(677\) 18209.5 21701.2i 1.03375 1.23197i 0.0614768 0.998109i \(-0.480419\pi\)
0.972270 0.233863i \(-0.0751366\pi\)
\(678\) 8060.43 + 274.409i 0.456577 + 0.0155437i
\(679\) −15386.9 + 2713.12i −0.869651 + 0.153343i
\(680\) 3071.21 11893.7i 0.173199 0.670740i
\(681\) 5144.12 20958.5i 0.289462 1.17934i
\(682\) −2636.43 + 18387.5i −0.148027 + 1.03239i
\(683\) −7084.51 + 12270.7i −0.396898 + 0.687447i −0.993341 0.115208i \(-0.963247\pi\)
0.596444 + 0.802655i \(0.296580\pi\)
\(684\) 2947.43 315.007i 0.164763 0.0176091i
\(685\) −922.364 1597.58i −0.0514478 0.0891101i
\(686\) 16805.8 6735.58i 0.935345 0.374877i
\(687\) 2492.74 + 22909.7i 0.138434 + 1.27229i
\(688\) −16202.2 14918.7i −0.897826 0.826701i
\(689\) 4206.35 + 5012.93i 0.232582 + 0.277181i
\(690\) −3664.59 25910.3i −0.202187 1.42955i
\(691\) −7526.42 20678.7i −0.414354 1.13843i −0.954852 0.297083i \(-0.903986\pi\)
0.540498 0.841345i \(1.68176\pi\)
\(692\) 6702.91 4467.05i 0.368217 0.245393i
\(693\) −13877.8 21851.6i −0.760715 1.19780i
\(694\) −6801.01 3640.49i −0.371993 0.199123i
\(695\) −2065.07 + 11711.6i −0.112709 + 0.639202i
\(696\) −5239.20 + 36050.2i −0.285333 + 1.96333i
\(697\) 2449.77 + 891.644i 0.133130 + 0.0484554i
\(698\) −18918.3 + 3966.18i −1.02589 + 0.215074i
\(699\) 172.665 2606.30i 0.00934306 0.141029i
\(700\) 2843.94 3868.85i 0.153558 0.208898i
\(701\) 16174.8i 0.871486i 0.900071 + 0.435743i \(0.143514\pi\)
−0.900071 + 0.435743i \(0.856486\pi\)
\(702\) 3881.00 23116.7i 0.208659 1.24286i
\(703\) 1146.70i 0.0615201i
\(704\) 23374.8 + 12934.2i 1.25138 + 0.692435i
\(705\) 10428.9 5133.84i 0.557126 0.274258i
\(706\) −2591.26 12360.1i −0.138135 0.658893i
\(707\) 1325.84 + 482.568i 0.0705283 + 0.0256702i
\(708\) −17278.6 14554.7i −0.917186 0.772599i
\(709\) −263.961 + 1497.00i −0.0139820 + 0.0792960i −0.991000 0.133859i \(-0.957263\pi\)
0.977018 + 0.213155i \(0.0683741\pi\)
\(710\) −10182.6 + 19022.6i −0.538232 + 1.00550i
\(711\) 13255.6 + 4199.97i 0.699191 + 0.221535i
\(712\) 6464.70 + 9056.05i 0.340274 + 0.476671i
\(713\) 7976.84 + 21916.2i 0.418983 + 1.15115i
\(714\) −9403.56 12014.3i −0.492885 0.629726i
\(715\) 19037.2 + 22687.6i 0.995734 + 1.18667i
\(716\) 18643.6 17804.3i 0.973105 0.929298i
\(717\) 7478.32 + 3296.81i 0.389516 + 0.171718i
\(718\) 4967.33 + 12393.8i 0.258188 + 0.644198i
\(719\) −17615.4 30510.7i −0.913688 1.58255i −0.808811 0.588069i \(-0.799888\pi\)
−0.104878 0.994485i \(1.46655\pi\)
\(720\) 14411.6 8247.31i 0.745955 0.426888i
\(721\) 7295.31 12635.9i 0.376826 0.652682i
\(722\) 18676.5 + 2677.87i 0.962698 + 0.138033i
\(723\) −12821.0 + 3727.22i −0.659502 + 0.191725i
\(724\) 5074.27 + 1485.66i 0.260475 + 0.0762626i
\(725\) 9966.92 1757.44i 0.510569 0.0900270i
\(726\) −17352.1 10821.7i −0.887047 0.553209i
\(727\) 1770.47 2109.96i 0.0903205 0.107640i −0.718991 0.695019i \(-0.755396\pi\)
0.809312 + 0.587379i \(0.199840\pi\)
\(728\) −24446.0 + 2363.06i −1.24455 + 0.120303i
\(729\) 18152.8 + 7608.95i 0.922258 + 0.386575i
\(730\) 12416.8 398.987i 0.629546 0.0202290i
\(731\) 14893.5 + 12497.1i 0.753565 + 0.632316i
\(732\) 10461.7 18040.5i 0.528244 0.910925i
\(733\) 6630.40 + 37602.8i 0.334105 + 1.89481i 0.435891 + 0.900000i \(0.356433\pi\)
−0.101785 + 0.994806i \(0.532455\pi\)
\(734\) −12932.1 4241.76i −0.650319 0.213306i
\(735\) −74.8282 257.397i −0.00375521 0.0129173i
\(736\) 33538.6 + 467.048i 1.67969 + 0.0233908i
\(737\) −10461.1 6039.72i −0.522849 0.301867i
\(738\) 1447.92 + 3212.77i 0.0722203 + 0.160249i
\(739\) 22736.8 13127.1i 1.13178 0.653435i 0.187400 0.982284i \(-0.439994\pi\)
0.944383 + 0.328848i \(0.106660\pi\)
\(740\) −2579.93 5882.57i −0.128162 0.292227i
\(741\) −1699.16 + 3854.28i −0.0842377 + 0.191080i
\(742\) 3840.58 + 4289.36i 0.190016 + 0.212220i
\(743\) −13911.0 + 11672.7i −0.686871 + 0.576353i −0.918005 0.396569i \(-0.870201\pi\)
0.231134 + 0.972922i \(0.425756\pi\)
\(744\) −11044.2 + 9850.75i −0.544220 + 0.485411i
\(745\) −9669.30 + 3519.34i −0.475511 + 0.173072i
\(746\) −21485.4 + 13342.5i −1.05447 + 0.654832i
\(747\) 1829.62 5774.49i 0.0896146 0.282835i
\(748\) −21137.7 10455.7i −1.03325 0.511093i
\(749\) −25063.2 4419.32i −1.22268 0.215592i
\(750\) −16560.0 14884.5i −0.806249 0.724672i
\(751\) −2978.78 + 8184.14i −0.144737 + 0.397661i −0.990785 0.135446i \(-0.956753\pi\)
0.846048 + 0.533107i \(0.178976\pi\)
\(752\) 4446.05 + 14220.6i 0.215599 + 0.689592i
\(753\) −17518.8 35587.7i −0.847837 1.72229i
\(754\) −40703.4 31983.9i −1.96595 1.54481i