Properties

Label 27.4.e.a.25.6
Level 27
Weight 4
Character 27.25
Analytic conductor 1.593
Analytic rank 0
Dimension 48
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 27 = 3^{3} \)
Weight: \( k \) = \( 4 \)
Character orbit: \([\chi]\) = 27.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.59305157016\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{9})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 25.6
Character \(\chi\) = 27.25
Dual form 27.4.e.a.13.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.553775 - 3.14062i) q^{2} +(-0.697722 - 5.14910i) q^{3} +(-2.03925 - 0.742228i) q^{4} +(-10.9819 + 9.21490i) q^{5} +(-16.5577 - 0.660166i) q^{6} +(30.2596 - 11.0136i) q^{7} +(9.29592 - 16.1010i) q^{8} +(-26.0264 + 7.18527i) q^{9} +O(q^{10})\) \(q+(0.553775 - 3.14062i) q^{2} +(-0.697722 - 5.14910i) q^{3} +(-2.03925 - 0.742228i) q^{4} +(-10.9819 + 9.21490i) q^{5} +(-16.5577 - 0.660166i) q^{6} +(30.2596 - 11.0136i) q^{7} +(9.29592 - 16.1010i) q^{8} +(-26.0264 + 7.18527i) q^{9} +(22.8590 + 39.5929i) q^{10} +(15.6100 + 13.0984i) q^{11} +(-2.39897 + 11.0182i) q^{12} +(7.14749 + 40.5354i) q^{13} +(-17.8325 - 101.133i) q^{14} +(55.1107 + 50.1174i) q^{15} +(-58.7185 - 49.2707i) q^{16} +(14.6690 + 25.4075i) q^{17} +(8.15342 + 85.7178i) q^{18} +(-31.1332 + 53.9243i) q^{19} +(29.2344 - 10.6405i) q^{20} +(-77.8229 - 148.125i) q^{21} +(49.7814 - 41.7715i) q^{22} +(-97.4029 - 35.4518i) q^{23} +(-89.3915 - 36.6315i) q^{24} +(13.9815 - 79.2930i) q^{25} +131.264 q^{26} +(55.1568 + 128.999i) q^{27} -69.8817 q^{28} +(0.781803 - 4.43383i) q^{29} +(187.918 - 145.328i) q^{30} +(-47.4267 - 17.2619i) q^{31} +(-73.3198 + 61.5226i) q^{32} +(56.5533 - 89.5165i) q^{33} +(87.9184 - 31.9997i) q^{34} +(-230.819 + 399.790i) q^{35} +(58.4075 + 4.66490i) q^{36} +(-29.6947 - 51.4327i) q^{37} +(152.115 + 127.639i) q^{38} +(203.734 - 65.0855i) q^{39} +(46.2824 + 262.480i) q^{40} +(33.1564 + 188.039i) q^{41} +(-508.301 + 162.384i) q^{42} +(-270.590 - 227.052i) q^{43} +(-22.1108 - 38.2971i) q^{44} +(219.607 - 318.738i) q^{45} +(-165.280 + 286.273i) q^{46} +(282.646 - 102.875i) q^{47} +(-212.730 + 336.724i) q^{48} +(531.593 - 446.059i) q^{49} +(-241.286 - 87.8210i) q^{50} +(120.591 - 93.2594i) q^{51} +(15.5110 - 87.9671i) q^{52} -128.439 q^{53} +(435.680 - 101.790i) q^{54} -292.128 q^{55} +(103.961 - 589.592i) q^{56} +(299.384 + 122.684i) q^{57} +(-13.4920 - 4.91069i) q^{58} +(440.395 - 369.535i) q^{59} +(-75.1862 - 143.107i) q^{60} +(-633.299 + 230.502i) q^{61} +(-80.4767 + 139.390i) q^{62} +(-708.413 + 504.068i) q^{63} +(-153.990 - 266.719i) q^{64} +(-452.023 - 379.292i) q^{65} +(-249.819 - 227.184i) q^{66} +(127.040 + 720.481i) q^{67} +(-11.0557 - 62.7000i) q^{68} +(-114.584 + 526.272i) q^{69} +(1127.76 + 946.306i) q^{70} +(-223.375 - 386.897i) q^{71} +(-126.249 + 485.844i) q^{72} +(408.446 - 707.450i) q^{73} +(-177.974 + 64.7774i) q^{74} +(-418.042 - 16.6676i) q^{75} +(103.513 - 86.8575i) q^{76} +(616.614 + 224.429i) q^{77} +(-91.5859 - 675.892i) q^{78} +(13.9053 - 78.8610i) q^{79} +1098.86 q^{80} +(625.744 - 374.013i) q^{81} +608.920 q^{82} +(-177.693 + 1007.75i) q^{83} +(48.7580 + 359.828i) q^{84} +(-395.220 - 143.848i) q^{85} +(-862.928 + 724.083i) q^{86} +(-23.3757 - 0.932002i) q^{87} +(356.006 - 129.576i) q^{88} +(-241.246 + 417.851i) q^{89} +(-879.421 - 866.211i) q^{90} +(662.722 + 1147.87i) q^{91} +(172.316 + 144.590i) q^{92} +(-55.7926 + 256.249i) q^{93} +(-166.567 - 944.651i) q^{94} +(-155.006 - 879.080i) q^{95} +(367.942 + 334.605i) q^{96} +(-1013.02 - 850.025i) q^{97} +(-1106.52 - 1916.55i) q^{98} +(-500.387 - 228.741i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} - 3q^{10} + 57q^{11} + 147q^{12} - 6q^{13} + 51q^{14} - 36q^{15} + 18q^{16} - 207q^{17} - 639q^{18} - 3q^{19} - 597q^{20} - 138q^{21} - 60q^{22} + 402q^{23} + 1170q^{24} - 222q^{25} + 1914q^{26} + 1125q^{27} - 12q^{28} + 480q^{29} + 459q^{30} - 60q^{31} - 648q^{32} - 639q^{33} + 288q^{34} - 1257q^{35} - 2088q^{36} - 3q^{37} - 1524q^{38} - 768q^{39} + 561q^{40} - 1731q^{41} - 3078q^{42} + 507q^{43} - 2211q^{44} - 360q^{45} - 3q^{46} + 984q^{47} + 2289q^{48} - 600q^{49} + 4359q^{50} + 2655q^{51} - 1431q^{52} + 2736q^{53} + 5454q^{54} - 12q^{55} + 5907q^{56} + 3426q^{57} - 897q^{58} + 2238q^{59} + 1314q^{60} + 48q^{61} - 2118q^{62} - 2610q^{63} - 195q^{64} - 6990q^{65} - 11115q^{66} - 681q^{67} - 11169q^{68} - 6138q^{69} - 33q^{70} - 3105q^{71} - 36q^{72} - 219q^{73} + 3543q^{74} + 2604q^{75} + 3426q^{76} + 4722q^{77} + 6066q^{78} + 2802q^{79} + 9870q^{80} + 3438q^{81} - 12q^{82} + 3468q^{83} + 7674q^{84} + 2529q^{85} + 3624q^{86} + 2880q^{87} + 2850q^{88} - 5202q^{89} - 12510q^{90} + 267q^{91} - 18453q^{92} - 11802q^{93} - 1653q^{94} - 10113q^{95} - 14094q^{96} - 3381q^{97} - 4392q^{98} - 1242q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{5}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.553775 3.14062i 0.195789 1.11038i −0.715501 0.698611i \(-0.753802\pi\)
0.911291 0.411764i \(-0.135087\pi\)
\(3\) −0.697722 5.14910i −0.134277 0.990944i
\(4\) −2.03925 0.742228i −0.254907 0.0927785i
\(5\) −10.9819 + 9.21490i −0.982250 + 0.824206i −0.984427 0.175792i \(-0.943751\pi\)
0.00217737 + 0.999998i \(0.499307\pi\)
\(6\) −16.5577 0.660166i −1.12661 0.0449186i
\(7\) 30.2596 11.0136i 1.63387 0.594679i 0.647916 0.761712i \(-0.275641\pi\)
0.985951 + 0.167033i \(0.0534187\pi\)
\(8\) 9.29592 16.1010i 0.410825 0.711570i
\(9\) −26.0264 + 7.18527i −0.963940 + 0.266121i
\(10\) 22.8590 + 39.5929i 0.722864 + 1.25204i
\(11\) 15.6100 + 13.0984i 0.427873 + 0.359028i 0.831148 0.556051i \(-0.187684\pi\)
−0.403276 + 0.915079i \(0.632128\pi\)
\(12\) −2.39897 + 11.0182i −0.0577103 + 0.265056i
\(13\) 7.14749 + 40.5354i 0.152489 + 0.864808i 0.961046 + 0.276390i \(0.0891380\pi\)
−0.808557 + 0.588418i \(0.799751\pi\)
\(14\) −17.8325 101.133i −0.340423 1.93064i
\(15\) 55.1107 + 50.1174i 0.948635 + 0.862683i
\(16\) −58.7185 49.2707i −0.917477 0.769854i
\(17\) 14.6690 + 25.4075i 0.209280 + 0.362483i 0.951488 0.307686i \(-0.0995548\pi\)
−0.742208 + 0.670169i \(0.766221\pi\)
\(18\) 8.15342 + 85.7178i 0.106766 + 1.12244i
\(19\) −31.1332 + 53.9243i −0.375918 + 0.651110i −0.990464 0.137771i \(-0.956006\pi\)
0.614546 + 0.788881i \(0.289339\pi\)
\(20\) 29.2344 10.6405i 0.326851 0.118964i
\(21\) −77.8229 148.125i −0.808684 1.53922i
\(22\) 49.7814 41.7715i 0.482428 0.404805i
\(23\) −97.4029 35.4518i −0.883040 0.321400i −0.139604 0.990207i \(-0.544583\pi\)
−0.743436 + 0.668807i \(0.766805\pi\)
\(24\) −89.3915 36.6315i −0.760290 0.311558i
\(25\) 13.9815 79.2930i 0.111852 0.634344i
\(26\) 131.264 0.990117
\(27\) 55.1568 + 128.999i 0.393146 + 0.919476i
\(28\) −69.8817 −0.471657
\(29\) 0.781803 4.43383i 0.00500611 0.0283911i −0.982202 0.187826i \(-0.939856\pi\)
0.987208 + 0.159435i \(0.0509671\pi\)
\(30\) 187.918 145.328i 1.14363 0.884436i
\(31\) −47.4267 17.2619i −0.274777 0.100011i 0.200956 0.979600i \(-0.435595\pi\)
−0.475733 + 0.879590i \(0.657817\pi\)
\(32\) −73.3198 + 61.5226i −0.405038 + 0.339867i
\(33\) 56.5533 89.5165i 0.298323 0.472207i
\(34\) 87.9184 31.9997i 0.443467 0.161409i
\(35\) −230.819 + 399.790i −1.11473 + 1.93077i
\(36\) 58.4075 + 4.66490i 0.270405 + 0.0215968i
\(37\) −29.6947 51.4327i −0.131940 0.228526i 0.792484 0.609892i \(-0.208787\pi\)
−0.924424 + 0.381366i \(0.875454\pi\)
\(38\) 152.115 + 127.639i 0.649375 + 0.544891i
\(39\) 203.734 65.0855i 0.836500 0.267231i
\(40\) 46.2824 + 262.480i 0.182947 + 1.03754i
\(41\) 33.1564 + 188.039i 0.126297 + 0.716263i 0.980529 + 0.196373i \(0.0629162\pi\)
−0.854233 + 0.519891i \(0.825973\pi\)
\(42\) −508.301 + 162.384i −1.86744 + 0.596580i
\(43\) −270.590 227.052i −0.959641 0.805234i 0.0212539 0.999774i \(-0.493234\pi\)
−0.980895 + 0.194540i \(0.937679\pi\)
\(44\) −22.1108 38.2971i −0.0757576 0.131216i
\(45\) 219.607 318.738i 0.727491 1.05588i
\(46\) −165.280 + 286.273i −0.529764 + 0.917578i
\(47\) 282.646 102.875i 0.877194 0.319272i 0.136117 0.990693i \(-0.456538\pi\)
0.741077 + 0.671420i \(0.234315\pi\)
\(48\) −212.730 + 336.724i −0.639687 + 1.01254i
\(49\) 531.593 446.059i 1.54983 1.30046i
\(50\) −241.286 87.8210i −0.682460 0.248395i
\(51\) 120.591 93.2594i 0.331099 0.256057i
\(52\) 15.5110 87.9671i 0.0413651 0.234593i
\(53\) −128.439 −0.332876 −0.166438 0.986052i \(-0.553227\pi\)
−0.166438 + 0.986052i \(0.553227\pi\)
\(54\) 435.680 101.790i 1.09794 0.256516i
\(55\) −292.128 −0.716191
\(56\) 103.961 589.592i 0.248078 1.40692i
\(57\) 299.384 + 122.684i 0.695690 + 0.285085i
\(58\) −13.4920 4.91069i −0.0305446 0.0111173i
\(59\) 440.395 369.535i 0.971771 0.815413i −0.0110562 0.999939i \(-0.503519\pi\)
0.982828 + 0.184526i \(0.0590749\pi\)
\(60\) −75.1862 143.107i −0.161775 0.307917i
\(61\) −633.299 + 230.502i −1.32927 + 0.483816i −0.906418 0.422382i \(-0.861194\pi\)
−0.422855 + 0.906197i \(0.638972\pi\)
\(62\) −80.4767 + 139.390i −0.164848 + 0.285525i
\(63\) −708.413 + 504.068i −1.41669 + 1.00804i
\(64\) −153.990 266.719i −0.300762 0.520935i
\(65\) −452.023 379.292i −0.862562 0.723775i
\(66\) −249.819 227.184i −0.465918 0.423703i
\(67\) 127.040 + 720.481i 0.231648 + 1.31374i 0.849559 + 0.527494i \(0.176868\pi\)
−0.617910 + 0.786249i \(0.712021\pi\)
\(68\) −11.0557 62.7000i −0.0197162 0.111816i
\(69\) −114.584 + 526.272i −0.199918 + 0.918199i
\(70\) 1127.76 + 946.306i 1.92562 + 1.61579i
\(71\) −223.375 386.897i −0.373377 0.646708i 0.616706 0.787194i \(-0.288467\pi\)
−0.990083 + 0.140486i \(0.955134\pi\)
\(72\) −126.249 + 485.844i −0.206647 + 0.795240i
\(73\) 408.446 707.450i 0.654863 1.13426i −0.327065 0.945002i \(-0.606059\pi\)
0.981928 0.189255i \(-0.0606072\pi\)
\(74\) −177.974 + 64.7774i −0.279582 + 0.101760i
\(75\) −418.042 16.6676i −0.643618 0.0256614i
\(76\) 103.513 86.8575i 0.156233 0.131095i
\(77\) 616.614 + 224.429i 0.912593 + 0.332157i
\(78\) −91.5859 675.892i −0.132950 0.981150i
\(79\) 13.9053 78.8610i 0.0198034 0.112311i −0.973304 0.229521i \(-0.926284\pi\)
0.993107 + 0.117210i \(0.0373951\pi\)
\(80\) 1098.86 1.53571
\(81\) 625.744 374.013i 0.858359 0.513050i
\(82\) 608.920 0.820048
\(83\) −177.693 + 1007.75i −0.234992 + 1.33270i 0.607640 + 0.794213i \(0.292116\pi\)
−0.842631 + 0.538491i \(0.818995\pi\)
\(84\) 48.7580 + 359.828i 0.0633326 + 0.467386i
\(85\) −395.220 143.848i −0.504326 0.183559i
\(86\) −862.928 + 724.083i −1.08200 + 0.907905i
\(87\) −23.3757 0.932002i −0.0288062 0.00114852i
\(88\) 356.006 129.576i 0.431254 0.156964i
\(89\) −241.246 + 417.851i −0.287327 + 0.497664i −0.973171 0.230084i \(-0.926100\pi\)
0.685844 + 0.727748i \(0.259433\pi\)
\(90\) −879.421 866.211i −1.02999 1.01452i
\(91\) 662.722 + 1147.87i 0.763430 + 1.32230i
\(92\) 172.316 + 144.590i 0.195274 + 0.163854i
\(93\) −55.7926 + 256.249i −0.0622088 + 0.285718i
\(94\) −166.567 944.651i −0.182767 1.03652i
\(95\) −155.006 879.080i −0.167402 0.949387i
\(96\) 367.942 + 334.605i 0.391177 + 0.355734i
\(97\) −1013.02 850.025i −1.06038 0.889763i −0.0662317 0.997804i \(-0.521098\pi\)
−0.994146 + 0.108041i \(0.965542\pi\)
\(98\) −1106.52 1916.55i −1.14056 1.97551i
\(99\) −500.387 228.741i −0.507988 0.232215i
\(100\) −87.3653 + 151.321i −0.0873653 + 0.151321i
\(101\) −478.256 + 174.071i −0.471171 + 0.171492i −0.566683 0.823936i \(-0.691773\pi\)
0.0955119 + 0.995428i \(0.469551\pi\)
\(102\) −226.112 430.373i −0.219494 0.417777i
\(103\) −1004.20 + 842.621i −0.960645 + 0.806077i −0.981058 0.193715i \(-0.937946\pi\)
0.0204132 + 0.999792i \(0.493502\pi\)
\(104\) 719.103 + 261.732i 0.678018 + 0.246778i
\(105\) 2219.60 + 909.566i 2.06296 + 0.845376i
\(106\) −71.1262 + 403.376i −0.0651734 + 0.369617i
\(107\) 1146.52 1.03587 0.517937 0.855419i \(-0.326700\pi\)
0.517937 + 0.855419i \(0.326700\pi\)
\(108\) −16.7322 304.001i −0.0149079 0.270856i
\(109\) 325.587 0.286106 0.143053 0.989715i \(-0.454308\pi\)
0.143053 + 0.989715i \(0.454308\pi\)
\(110\) −161.773 + 917.460i −0.140222 + 0.795240i
\(111\) −244.113 + 188.786i −0.208740 + 0.161431i
\(112\) −2319.45 844.210i −1.95685 0.712236i
\(113\) 237.949 199.663i 0.198091 0.166218i −0.538347 0.842724i \(-0.680951\pi\)
0.736438 + 0.676505i \(0.236506\pi\)
\(114\) 551.094 872.310i 0.452760 0.716661i
\(115\) 1396.35 508.231i 1.13227 0.412111i
\(116\) −4.88521 + 8.46143i −0.00391017 + 0.00677262i
\(117\) −477.281 1003.63i −0.377134 0.793042i
\(118\) −916.688 1587.75i −0.715152 1.23868i
\(119\) 723.706 + 607.262i 0.557496 + 0.467795i
\(120\) 1319.24 421.450i 1.00358 0.320608i
\(121\) −159.020 901.848i −0.119474 0.677571i
\(122\) 373.213 + 2116.59i 0.276960 + 1.57072i
\(123\) 945.098 301.925i 0.692818 0.221330i
\(124\) 83.9028 + 70.4028i 0.0607637 + 0.0509868i
\(125\) −318.856 552.275i −0.228155 0.395176i
\(126\) 1190.78 + 2503.99i 0.841931 + 1.77042i
\(127\) 6.15688 10.6640i 0.00430185 0.00745102i −0.863866 0.503721i \(-0.831964\pi\)
0.868168 + 0.496270i \(0.165297\pi\)
\(128\) −1642.46 + 597.806i −1.13417 + 0.412805i
\(129\) −980.315 + 1551.71i −0.669085 + 1.05907i
\(130\) −1441.53 + 1209.59i −0.972542 + 0.816060i
\(131\) −926.134 337.085i −0.617684 0.224819i 0.0141778 0.999899i \(-0.495487\pi\)
−0.631862 + 0.775081i \(0.717709\pi\)
\(132\) −181.768 + 140.572i −0.119855 + 0.0926908i
\(133\) −348.179 + 1974.62i −0.226999 + 1.28738i
\(134\) 2333.11 1.50410
\(135\) −1794.44 908.387i −1.14400 0.579123i
\(136\) 545.447 0.343910
\(137\) 112.885 640.204i 0.0703973 0.399243i −0.929165 0.369665i \(-0.879472\pi\)
0.999562 0.0295782i \(-0.00941640\pi\)
\(138\) 1589.36 + 651.302i 0.980404 + 0.401757i
\(139\) 2677.52 + 974.536i 1.63384 + 0.594670i 0.985947 0.167060i \(-0.0534274\pi\)
0.647895 + 0.761730i \(0.275650\pi\)
\(140\) 767.433 643.953i 0.463285 0.388743i
\(141\) −726.919 1383.59i −0.434168 0.826379i
\(142\) −1338.79 + 487.281i −0.791191 + 0.287970i
\(143\) −419.375 + 726.379i −0.245244 + 0.424775i
\(144\) 1882.25 + 860.428i 1.08927 + 0.497933i
\(145\) 32.2716 + 55.8960i 0.0184828 + 0.0320132i
\(146\) −1995.64 1674.54i −1.13124 0.949219i
\(147\) −2667.71 2426.00i −1.49679 1.36118i
\(148\) 22.3802 + 126.925i 0.0124300 + 0.0704941i
\(149\) 78.2788 + 443.941i 0.0430393 + 0.244088i 0.998736 0.0502657i \(-0.0160068\pi\)
−0.955697 + 0.294353i \(0.904896\pi\)
\(150\) −283.848 + 1303.68i −0.154507 + 0.709634i
\(151\) 278.120 + 233.370i 0.149888 + 0.125771i 0.714648 0.699484i \(-0.246587\pi\)
−0.564760 + 0.825255i \(0.691031\pi\)
\(152\) 578.823 + 1002.55i 0.308874 + 0.534985i
\(153\) −564.340 555.863i −0.298197 0.293718i
\(154\) 1046.31 1812.26i 0.547494 0.948288i
\(155\) 679.901 247.464i 0.352329 0.128237i
\(156\) −463.773 18.4909i −0.238023 0.00949012i
\(157\) 1691.02 1418.93i 0.859605 0.721294i −0.102278 0.994756i \(-0.532613\pi\)
0.961883 + 0.273462i \(0.0881688\pi\)
\(158\) −239.972 87.3425i −0.120830 0.0439785i
\(159\) 89.6145 + 661.343i 0.0446974 + 0.329861i
\(160\) 238.265 1351.27i 0.117728 0.667670i
\(161\) −3337.83 −1.63390
\(162\) −828.110 2172.34i −0.401620 1.05355i
\(163\) −64.8931 −0.0311829 −0.0155915 0.999878i \(-0.504963\pi\)
−0.0155915 + 0.999878i \(0.504963\pi\)
\(164\) 71.9537 408.070i 0.0342600 0.194298i
\(165\) 203.824 + 1504.19i 0.0961676 + 0.709705i
\(166\) 3066.54 + 1116.13i 1.43379 + 0.521858i
\(167\) 1807.26 1516.47i 0.837423 0.702681i −0.119560 0.992827i \(-0.538148\pi\)
0.956982 + 0.290146i \(0.0937038\pi\)
\(168\) −3108.40 123.934i −1.42749 0.0569149i
\(169\) 472.471 171.965i 0.215053 0.0782728i
\(170\) −670.636 + 1161.58i −0.302561 + 0.524052i
\(171\) 422.824 1627.15i 0.189089 0.727670i
\(172\) 383.277 + 663.856i 0.169911 + 0.294294i
\(173\) 1913.17 + 1605.34i 0.840783 + 0.705501i 0.957740 0.287636i \(-0.0928694\pi\)
−0.116957 + 0.993137i \(0.537314\pi\)
\(174\) −15.8719 + 72.8979i −0.00691522 + 0.0317608i
\(175\) −450.227 2553.36i −0.194480 1.10295i
\(176\) −271.232 1538.23i −0.116164 0.658799i
\(177\) −2210.04 2009.80i −0.938515 0.853480i
\(178\) 1178.71 + 989.058i 0.496339 + 0.416478i
\(179\) −1968.57 3409.66i −0.821997 1.42374i −0.904193 0.427125i \(-0.859526\pi\)
0.0821954 0.996616i \(-0.473807\pi\)
\(180\) −684.411 + 486.990i −0.283406 + 0.201656i
\(181\) −2152.95 + 3729.01i −0.884129 + 1.53136i −0.0374198 + 0.999300i \(0.511914\pi\)
−0.846709 + 0.532056i \(0.821419\pi\)
\(182\) 3972.01 1445.69i 1.61772 0.588802i
\(183\) 1628.74 + 3100.09i 0.657924 + 1.25227i
\(184\) −1476.26 + 1238.73i −0.591474 + 0.496305i
\(185\) 800.050 + 291.195i 0.317951 + 0.115725i
\(186\) 773.882 + 317.127i 0.305074 + 0.125016i
\(187\) −103.813 + 588.751i −0.0405964 + 0.230234i
\(188\) −652.743 −0.253224
\(189\) 3089.77 + 3295.99i 1.18914 + 1.26851i
\(190\) −2846.69 −1.08695
\(191\) 696.054 3947.52i 0.263689 1.49546i −0.509052 0.860736i \(-0.670004\pi\)
0.772741 0.634721i \(-0.218885\pi\)
\(192\) −1265.92 + 979.006i −0.475832 + 0.367988i
\(193\) 1978.35 + 720.061i 0.737849 + 0.268555i 0.683483 0.729966i \(-0.260464\pi\)
0.0543656 + 0.998521i \(0.482686\pi\)
\(194\) −3230.59 + 2710.79i −1.19558 + 1.00321i
\(195\) −1637.62 + 2592.15i −0.601399 + 0.951936i
\(196\) −1415.13 + 515.066i −0.515718 + 0.187706i
\(197\) −437.504 + 757.779i −0.158228 + 0.274059i −0.934230 0.356672i \(-0.883911\pi\)
0.776002 + 0.630731i \(0.217245\pi\)
\(198\) −995.488 + 1444.85i −0.357304 + 0.518592i
\(199\) 477.760 + 827.505i 0.170188 + 0.294775i 0.938486 0.345318i \(-0.112229\pi\)
−0.768297 + 0.640093i \(0.778896\pi\)
\(200\) −1146.73 962.217i −0.405429 0.340195i
\(201\) 3621.19 1156.84i 1.27074 0.405955i
\(202\) 281.844 + 1598.41i 0.0981705 + 0.556753i
\(203\) −25.1754 142.777i −0.00870425 0.0493643i
\(204\) −315.135 + 100.674i −0.108156 + 0.0345519i
\(205\) −2096.88 1759.49i −0.714403 0.599455i
\(206\) 2090.25 + 3620.42i 0.706964 + 1.22450i
\(207\) 2789.77 + 222.814i 0.936728 + 0.0748147i
\(208\) 1577.52 2732.34i 0.525871 0.910835i
\(209\) −1192.31 + 433.966i −0.394612 + 0.143627i
\(210\) 4085.76 6467.22i 1.34259 2.12515i
\(211\) −841.508 + 706.109i −0.274558 + 0.230382i −0.769661 0.638453i \(-0.779575\pi\)
0.495103 + 0.868834i \(0.335130\pi\)
\(212\) 261.919 + 95.3308i 0.0848523 + 0.0308837i
\(213\) −1836.32 + 1420.13i −0.590715 + 0.456833i
\(214\) 634.915 3600.78i 0.202813 1.15021i
\(215\) 5063.85 1.60629
\(216\) 2589.74 + 311.083i 0.815786 + 0.0979932i
\(217\) −1625.23 −0.508423
\(218\) 180.302 1022.54i 0.0560165 0.317685i
\(219\) −3927.71 1609.53i −1.21192 0.496629i
\(220\) 595.723 + 216.825i 0.182562 + 0.0664471i
\(221\) −925.055 + 776.214i −0.281565 + 0.236261i
\(222\) 457.722 + 871.211i 0.138380 + 0.263387i
\(223\) −190.606 + 69.3748i −0.0572372 + 0.0208326i −0.370480 0.928840i \(-0.620807\pi\)
0.313243 + 0.949673i \(0.398585\pi\)
\(224\) −1541.04 + 2669.17i −0.459667 + 0.796166i
\(225\) 205.854 + 2164.17i 0.0609939 + 0.641235i
\(226\) −495.293 857.873i −0.145781 0.252499i
\(227\) 2286.32 + 1918.45i 0.668494 + 0.560933i 0.912619 0.408811i \(-0.134056\pi\)
−0.244125 + 0.969744i \(0.578501\pi\)
\(228\) −519.460 472.394i −0.150886 0.137215i
\(229\) −198.375 1125.04i −0.0572446 0.324650i 0.942715 0.333598i \(-0.108263\pi\)
−0.999960 + 0.00894782i \(0.997152\pi\)
\(230\) −822.892 4666.85i −0.235912 1.33793i
\(231\) 725.382 3331.59i 0.206609 0.948930i
\(232\) −64.1215 53.8043i −0.0181456 0.0152260i
\(233\) 2058.19 + 3564.89i 0.578698 + 1.00233i 0.995629 + 0.0933962i \(0.0297723\pi\)
−0.416931 + 0.908938i \(0.636894\pi\)
\(234\) −3416.33 + 943.169i −0.954413 + 0.263491i
\(235\) −2156.00 + 3734.31i −0.598477 + 1.03659i
\(236\) −1172.36 + 426.703i −0.323364 + 0.117695i
\(237\) −415.765 16.5768i −0.113953 0.00454337i
\(238\) 2307.95 1936.60i 0.628580 0.527441i
\(239\) −5774.59 2101.78i −1.56287 0.568840i −0.591481 0.806319i \(-0.701457\pi\)
−0.971393 + 0.237479i \(0.923679\pi\)
\(240\) −766.702 5658.16i −0.206210 1.52180i
\(241\) 841.776 4773.95i 0.224994 1.27600i −0.637702 0.770283i \(-0.720115\pi\)
0.862697 0.505722i \(-0.168774\pi\)
\(242\) −2920.42 −0.775750
\(243\) −2362.42 2961.06i −0.623661 0.781695i
\(244\) 1462.54 0.383728
\(245\) −1727.50 + 9797.15i −0.450474 + 2.55476i
\(246\) −424.857 3135.39i −0.110113 0.812622i
\(247\) −2408.37 876.575i −0.620408 0.225810i
\(248\) −718.808 + 603.152i −0.184050 + 0.154436i
\(249\) 5312.96 + 211.831i 1.35219 + 0.0539125i
\(250\) −1911.06 + 695.568i −0.483464 + 0.175966i
\(251\) 1093.63 1894.22i 0.275017 0.476343i −0.695122 0.718891i \(-0.744650\pi\)
0.970139 + 0.242548i \(0.0779832\pi\)
\(252\) 1818.77 502.119i 0.454649 0.125518i
\(253\) −1056.10 1829.22i −0.262437 0.454554i
\(254\) −30.0821 25.2419i −0.00743118 0.00623550i
\(255\) −464.936 + 2135.39i −0.114178 + 0.524406i
\(256\) 540.083 + 3062.96i 0.131856 + 0.747794i
\(257\) 140.686 + 797.871i 0.0341469 + 0.193657i 0.997109 0.0759783i \(-0.0242080\pi\)
−0.962963 + 0.269635i \(0.913097\pi\)
\(258\) 4330.45 + 3938.09i 1.04497 + 0.950290i
\(259\) −1465.01 1229.29i −0.351472 0.294920i
\(260\) 640.268 + 1108.98i 0.152722 + 0.264522i
\(261\) 11.5108 + 121.014i 0.00272988 + 0.0286995i
\(262\) −1571.52 + 2721.96i −0.370569 + 0.641844i
\(263\) 2743.81 998.665i 0.643310 0.234146i 0.000295868 1.00000i \(-0.499906\pi\)
0.643014 + 0.765854i \(0.277684\pi\)
\(264\) −915.591 1742.70i −0.213450 0.406272i
\(265\) 1410.50 1183.55i 0.326967 0.274358i
\(266\) 6008.71 + 2186.99i 1.38503 + 0.504109i
\(267\) 2319.88 + 950.657i 0.531739 + 0.217900i
\(268\) 275.694 1563.54i 0.0628383 0.356374i
\(269\) −6017.64 −1.36395 −0.681974 0.731377i \(-0.738878\pi\)
−0.681974 + 0.731377i \(0.738878\pi\)
\(270\) −3846.61 + 5132.60i −0.867027 + 1.15689i
\(271\) 2048.63 0.459208 0.229604 0.973284i \(-0.426257\pi\)
0.229604 + 0.973284i \(0.426257\pi\)
\(272\) 390.501 2214.64i 0.0870499 0.493685i
\(273\) 5448.08 4213.31i 1.20781 0.934070i
\(274\) −1948.12 709.058i −0.429527 0.156335i
\(275\) 1256.86 1054.63i 0.275606 0.231260i
\(276\) 624.281 988.156i 0.136150 0.215507i
\(277\) 3934.69 1432.11i 0.853474 0.310639i 0.122018 0.992528i \(-0.461063\pi\)
0.731456 + 0.681889i \(0.238841\pi\)
\(278\) 4543.38 7869.37i 0.980195 1.69775i
\(279\) 1358.38 + 108.491i 0.291483 + 0.0232802i
\(280\) 4291.34 + 7432.82i 0.915917 + 1.58641i
\(281\) −84.4702 70.8789i −0.0179326 0.0150473i 0.633777 0.773516i \(-0.281504\pi\)
−0.651710 + 0.758468i \(0.725948\pi\)
\(282\) −4747.88 + 1516.77i −1.00260 + 0.320293i
\(283\) 539.734 + 3060.98i 0.113370 + 0.642956i 0.987544 + 0.157342i \(0.0502926\pi\)
−0.874174 + 0.485613i \(0.838596\pi\)
\(284\) 168.353 + 954.777i 0.0351758 + 0.199492i
\(285\) −4418.32 + 1411.49i −0.918311 + 0.293367i
\(286\) 2049.04 + 1719.35i 0.423644 + 0.355479i
\(287\) 3074.29 + 5324.83i 0.632298 + 1.09517i
\(288\) 1466.19 2128.03i 0.299986 0.435401i
\(289\) 2026.14 3509.38i 0.412404 0.714305i
\(290\) 193.419 70.3988i 0.0391654 0.0142550i
\(291\) −3670.06 + 5809.22i −0.739321 + 1.17025i
\(292\) −1358.02 + 1139.51i −0.272164 + 0.228373i
\(293\) −9124.08 3320.89i −1.81923 0.662145i −0.995456 0.0952266i \(-0.969642\pi\)
−0.823774 0.566919i \(-0.808135\pi\)
\(294\) −9096.43 + 7034.78i −1.80447 + 1.39550i
\(295\) −1431.14 + 8116.39i −0.282454 + 1.60188i
\(296\) −1104.16 −0.216817
\(297\) −828.676 + 2736.14i −0.161901 + 0.534569i
\(298\) 1437.60 0.279456
\(299\) 740.866 4201.66i 0.143296 0.812670i
\(300\) 840.124 + 344.272i 0.161682 + 0.0662552i
\(301\) −10688.6 3890.34i −2.04678 0.744967i
\(302\) 886.942 744.232i 0.168999 0.141807i
\(303\) 1230.00 + 2341.13i 0.233206 + 0.443876i
\(304\) 4484.98 1632.40i 0.846156 0.307976i
\(305\) 4830.77 8367.13i 0.906914 1.57082i
\(306\) −2058.27 + 1464.55i −0.384521 + 0.273604i
\(307\) −1925.30 3334.72i −0.357924 0.619942i 0.629690 0.776847i \(-0.283182\pi\)
−0.987614 + 0.156904i \(0.949849\pi\)
\(308\) −1090.86 915.336i −0.201809 0.169338i
\(309\) 5039.38 + 4582.79i 0.927769 + 0.843708i
\(310\) −400.676 2272.35i −0.0734093 0.416325i
\(311\) 1180.90 + 6697.21i 0.215314 + 1.22111i 0.880361 + 0.474304i \(0.157300\pi\)
−0.665047 + 0.746801i \(0.731589\pi\)
\(312\) 845.950 3885.35i 0.153502 0.705014i
\(313\) −2544.69 2135.25i −0.459535 0.385596i 0.383425 0.923572i \(-0.374745\pi\)
−0.842960 + 0.537976i \(0.819189\pi\)
\(314\) −3519.88 6096.61i −0.632606 1.09570i
\(315\) 3134.77 12063.6i 0.560713 2.15779i
\(316\) −86.8893 + 150.497i −0.0154681 + 0.0267915i
\(317\) −2049.18 + 745.842i −0.363071 + 0.132147i −0.517113 0.855917i \(-0.672993\pi\)
0.154042 + 0.988064i \(0.450771\pi\)
\(318\) 2126.65 + 84.7908i 0.375021 + 0.0149523i
\(319\) 70.2799 58.9718i 0.0123352 0.0103504i
\(320\) 4148.89 + 1510.07i 0.724781 + 0.263799i
\(321\) −799.953 5903.55i −0.139094 1.02649i
\(322\) −1848.41 + 10482.8i −0.319900 + 1.81424i
\(323\) −1826.77 −0.314688
\(324\) −1553.65 + 298.263i −0.266402 + 0.0511426i
\(325\) 3314.11 0.565642
\(326\) −35.9362 + 203.804i −0.00610528 + 0.0346248i
\(327\) −227.169 1676.48i −0.0384174 0.283515i
\(328\) 3335.84 + 1214.15i 0.561558 + 0.204390i
\(329\) 7419.73 6225.90i 1.24335 1.04330i
\(330\) 4836.96 + 192.853i 0.806867 + 0.0321703i
\(331\) 4960.39 1805.43i 0.823709 0.299805i 0.104434 0.994532i \(-0.466697\pi\)
0.719274 + 0.694726i \(0.244475\pi\)
\(332\) 1110.34 1923.16i 0.183547 0.317913i
\(333\) 1142.40 + 1125.24i 0.187998 + 0.185174i
\(334\) −3761.83 6515.68i −0.616281 1.06743i
\(335\) −8034.30 6741.58i −1.31033 1.09950i
\(336\) −2728.59 + 12532.1i −0.443026 + 2.03477i
\(337\) 1421.64 + 8062.50i 0.229797 + 1.30324i 0.853300 + 0.521421i \(0.174598\pi\)
−0.623503 + 0.781821i \(0.714291\pi\)
\(338\) −278.434 1579.08i −0.0448072 0.254114i
\(339\) −1194.10 1085.91i −0.191312 0.173978i
\(340\) 699.187 + 586.687i 0.111526 + 0.0935811i
\(341\) −514.229 890.671i −0.0816629 0.141444i
\(342\) −4876.12 2229.00i −0.770966 0.352429i
\(343\) 5650.51 9786.97i 0.889501 1.54066i
\(344\) −6171.14 + 2246.11i −0.967225 + 0.352041i
\(345\) −3591.19 6835.35i −0.560416 1.06667i
\(346\) 6101.22 5119.53i 0.947987 0.795455i
\(347\) 9502.39 + 3458.59i 1.47007 + 0.535062i 0.948120 0.317913i \(-0.102982\pi\)
0.521952 + 0.852975i \(0.325204\pi\)
\(348\) 46.9772 + 19.2507i 0.00723633 + 0.00296536i
\(349\) −621.019 + 3521.97i −0.0952503 + 0.540191i 0.899420 + 0.437085i \(0.143989\pi\)
−0.994670 + 0.103106i \(0.967122\pi\)
\(350\) −8268.46 −1.26276
\(351\) −4834.79 + 3157.82i −0.735220 + 0.480205i
\(352\) −1950.37 −0.295327
\(353\) −84.9764 + 481.925i −0.0128126 + 0.0726637i −0.990544 0.137198i \(-0.956190\pi\)
0.977731 + 0.209862i \(0.0673014\pi\)
\(354\) −7535.88 + 5827.92i −1.13143 + 0.875001i
\(355\) 6018.30 + 2190.48i 0.899770 + 0.327489i
\(356\) 802.104 673.045i 0.119414 0.100200i
\(357\) 2621.90 4150.13i 0.388700 0.615261i
\(358\) −11798.6 + 4294.32i −1.74182 + 0.633972i
\(359\) −6453.59 + 11177.9i −0.948768 + 1.64331i −0.200742 + 0.979644i \(0.564335\pi\)
−0.748026 + 0.663669i \(0.768998\pi\)
\(360\) −3090.55 6498.86i −0.452462 0.951444i
\(361\) 1490.95 + 2582.39i 0.217371 + 0.376497i
\(362\) 10519.1 + 8826.61i 1.52728 + 1.28154i
\(363\) −4532.75 + 1448.05i −0.655393 + 0.209374i
\(364\) −499.479 2832.68i −0.0719225 0.407893i
\(365\) 2033.57 + 11532.9i 0.291621 + 1.65387i
\(366\) 10638.2 3398.50i 1.51930 0.485362i
\(367\) 7475.79 + 6272.93i 1.06330 + 0.892219i 0.994429 0.105407i \(-0.0336144\pi\)
0.0688757 + 0.997625i \(0.478059\pi\)
\(368\) 3972.62 + 6880.78i 0.562737 + 0.974689i
\(369\) −2214.05 4655.74i −0.312355 0.656824i
\(370\) 1357.58 2351.39i 0.190749 0.330387i
\(371\) −3886.51 + 1414.57i −0.543875 + 0.197954i
\(372\) 303.970 481.145i 0.0423659 0.0670597i
\(373\) 6223.69 5222.30i 0.863943 0.724934i −0.0988711 0.995100i \(-0.531523\pi\)
0.962814 + 0.270166i \(0.0870787\pi\)
\(374\) 1791.55 + 652.071i 0.247698 + 0.0901545i
\(375\) −2621.24 + 2027.15i −0.360961 + 0.279152i
\(376\) 971.066 5507.19i 0.133189 0.755350i
\(377\) 185.315 0.0253162
\(378\) 12062.5 7878.54i 1.64134 1.07203i
\(379\) −7191.62 −0.974693 −0.487347 0.873209i \(-0.662035\pi\)
−0.487347 + 0.873209i \(0.662035\pi\)
\(380\) −336.382 + 1907.72i −0.0454106 + 0.257536i
\(381\) −59.2059 24.2619i −0.00796119 0.00326239i
\(382\) −12012.2 4372.07i −1.60889 0.585588i
\(383\) −10052.1 + 8434.71i −1.34109 + 1.12531i −0.359748 + 0.933050i \(0.617137\pi\)
−0.981344 + 0.192260i \(0.938418\pi\)
\(384\) 4224.14 + 8040.07i 0.561359 + 1.06847i
\(385\) −8839.68 + 3217.38i −1.17016 + 0.425903i
\(386\) 3357.00 5814.49i 0.442660 0.766709i
\(387\) 8673.90 + 3965.07i 1.13933 + 0.520816i
\(388\) 1434.89 + 2485.31i 0.187747 + 0.325187i
\(389\) −6136.99 5149.55i −0.799892 0.671189i 0.148280 0.988945i \(-0.452626\pi\)
−0.948172 + 0.317756i \(0.897071\pi\)
\(390\) 7234.06 + 6578.62i 0.939259 + 0.854157i
\(391\) −528.064 2994.80i −0.0683002 0.387349i
\(392\) −2240.36 12705.7i −0.288661 1.63708i
\(393\) −1089.50 + 5003.94i −0.139842 + 0.642279i
\(394\) 2137.61 + 1793.67i 0.273328 + 0.229350i
\(395\) 573.989 + 994.179i 0.0731153 + 0.126639i
\(396\) 850.640 + 837.862i 0.107945 + 0.106324i
\(397\) −1817.69 + 3148.34i −0.229792 + 0.398011i −0.957746 0.287614i \(-0.907138\pi\)
0.727954 + 0.685626i \(0.240471\pi\)
\(398\) 2863.45 1042.21i 0.360632 0.131259i
\(399\) 10410.4 + 415.070i 1.30620 + 0.0520789i
\(400\) −4727.79 + 3967.09i −0.590974 + 0.495886i
\(401\) 11370.4 + 4138.47i 1.41598 + 0.515375i 0.932880 0.360188i \(-0.117288\pi\)
0.483103 + 0.875564i \(0.339510\pi\)
\(402\) −1627.86 12013.4i −0.201966 1.49048i
\(403\) 360.737 2045.84i 0.0445895 0.252880i
\(404\) 1104.49 0.136015
\(405\) −3425.35 + 9873.53i −0.420265 + 1.21141i
\(406\) −462.348 −0.0565171
\(407\) 210.149 1191.82i 0.0255939 0.145150i
\(408\) −380.570 2808.56i −0.0461790 0.340795i
\(409\) −5572.83 2028.34i −0.673737 0.245220i −0.0175811 0.999845i \(-0.505597\pi\)
−0.656156 + 0.754625i \(0.727819\pi\)
\(410\) −6687.09 + 5611.14i −0.805493 + 0.675888i
\(411\) −3375.23 134.573i −0.405080 0.0161508i
\(412\) 2673.23 972.976i 0.319661 0.116347i
\(413\) 9256.27 16032.3i 1.10284 1.91017i
\(414\) 2244.68 8638.22i 0.266474 1.02547i
\(415\) −7334.87 12704.4i −0.867601 1.50273i
\(416\) −3017.90 2532.31i −0.355684 0.298454i
\(417\) 3149.82 14466.7i 0.369898 1.69890i
\(418\) 702.647 + 3984.91i 0.0822191 + 0.466288i
\(419\) −185.116 1049.85i −0.0215836 0.122407i 0.972112 0.234516i \(-0.0753505\pi\)
−0.993696 + 0.112109i \(0.964239\pi\)
\(420\) −3851.23 3502.29i −0.447430 0.406891i
\(421\) −458.729 384.919i −0.0531047 0.0445601i 0.615849 0.787864i \(-0.288813\pi\)
−0.668954 + 0.743304i \(0.733258\pi\)
\(422\) 1751.61 + 3033.88i 0.202055 + 0.349969i
\(423\) −6617.06 + 4708.34i −0.760597 + 0.541199i
\(424\) −1193.96 + 2067.99i −0.136754 + 0.236864i
\(425\) 2219.73 807.915i 0.253347 0.0922109i
\(426\) 3443.17 + 6553.60i 0.391601 + 0.745359i
\(427\) −16624.7 + 13949.8i −1.88414 + 1.58098i
\(428\) −2338.05 850.980i −0.264051 0.0961067i
\(429\) 4032.80 + 1652.59i 0.453859 + 0.185986i
\(430\) 2804.23 15903.6i 0.314493 1.78358i
\(431\) −5699.28 −0.636948 −0.318474 0.947932i \(-0.603170\pi\)
−0.318474 + 0.947932i \(0.603170\pi\)
\(432\) 3117.14 10292.2i 0.347161 1.14626i
\(433\) 14318.4 1.58914 0.794570 0.607173i \(-0.207696\pi\)
0.794570 + 0.607173i \(0.207696\pi\)
\(434\) −900.012 + 5104.22i −0.0995437 + 0.564540i
\(435\) 265.297 205.169i 0.0292415 0.0226141i
\(436\) −663.955 241.660i −0.0729305 0.0265445i
\(437\) 4944.18 4148.66i 0.541218 0.454135i
\(438\) −7229.97 + 11444.1i −0.788724 + 1.24845i
\(439\) 1698.24 618.110i 0.184630 0.0671999i −0.248051 0.968747i \(-0.579790\pi\)
0.432681 + 0.901547i \(0.357568\pi\)
\(440\) −2715.59 + 4703.55i −0.294229 + 0.509620i
\(441\) −10630.4 + 15428.9i −1.14786 + 1.66601i
\(442\) 1925.52 + 3335.09i 0.207211 + 0.358901i
\(443\) 7184.35 + 6028.38i 0.770516 + 0.646540i 0.940841 0.338848i \(-0.110037\pi\)
−0.170325 + 0.985388i \(0.554482\pi\)
\(444\) 637.931 203.796i 0.0681867 0.0217832i
\(445\) −1201.11 6811.85i −0.127951 0.725647i
\(446\) 112.327 + 637.037i 0.0119256 + 0.0676336i
\(447\) 2231.28 712.812i 0.236098 0.0754248i
\(448\) −7597.23 6374.83i −0.801195 0.672282i
\(449\) 82.8471 + 143.495i 0.00870779 + 0.0150823i 0.870346 0.492440i \(-0.163895\pi\)
−0.861639 + 0.507522i \(0.830562\pi\)
\(450\) 6910.82 + 551.954i 0.723954 + 0.0578208i
\(451\) −1945.43 + 3369.59i −0.203120 + 0.351813i
\(452\) −633.433 + 230.551i −0.0659163 + 0.0239916i
\(453\) 1007.59 1594.89i 0.104505 0.165418i
\(454\) 7291.21 6118.05i 0.753730 0.632455i
\(455\) −17855.4 6498.84i −1.83973 0.669605i
\(456\) 4758.38 3679.92i 0.488665 0.377912i
\(457\) −1225.72 + 6951.39i −0.125463 + 0.711537i 0.855569 + 0.517689i \(0.173208\pi\)
−0.981032 + 0.193847i \(0.937903\pi\)
\(458\) −3643.18 −0.371692
\(459\) −2468.44 + 3293.68i −0.251017 + 0.334936i
\(460\) −3224.74 −0.326857
\(461\) 924.402 5242.54i 0.0933919 0.529652i −0.901836 0.432078i \(-0.857781\pi\)
0.995228 0.0975741i \(-0.0311083\pi\)
\(462\) −10061.6 4123.10i −1.01322 0.415203i
\(463\) 8793.05 + 3200.41i 0.882609 + 0.321243i 0.743262 0.669000i \(-0.233278\pi\)
0.139347 + 0.990244i \(0.455500\pi\)
\(464\) −264.364 + 221.828i −0.0264500 + 0.0221942i
\(465\) −1748.60 3328.22i −0.174385 0.331919i
\(466\) 12335.7 4489.84i 1.22627 0.446326i
\(467\) −917.123 + 1588.50i −0.0908767 + 0.157403i −0.907880 0.419230i \(-0.862300\pi\)
0.817004 + 0.576633i \(0.195634\pi\)
\(468\) 228.373 + 2400.92i 0.0225568 + 0.237142i
\(469\) 11779.3 + 20402.3i 1.15974 + 2.00872i
\(470\) 10534.1 + 8839.15i 1.03383 + 0.867488i
\(471\) −8486.08 7717.19i −0.830187 0.754967i
\(472\) −1856.01 10526.0i −0.180995 1.02648i
\(473\) −1249.91 7088.57i −0.121503 0.689075i
\(474\) −282.302 + 1296.58i −0.0273556 + 0.125641i
\(475\) 3840.53 + 3222.59i 0.370980 + 0.311289i
\(476\) −1025.09 1775.52i −0.0987083 0.170968i
\(477\) 3342.79 922.867i 0.320872 0.0885853i
\(478\) −9798.69 + 16971.8i −0.937619 + 1.62400i
\(479\) 11229.0 4087.03i 1.07112 0.389856i 0.254525 0.967066i \(-0.418081\pi\)
0.816596 + 0.577210i \(0.195859\pi\)
\(480\) −7124.05 284.040i −0.677431 0.0270096i
\(481\) 1872.60 1571.30i 0.177512 0.148950i
\(482\) −14527.0 5287.39i −1.37279 0.499656i
\(483\) 2328.88 + 17186.8i 0.219394 + 1.61910i
\(484\) −345.094 + 1957.13i −0.0324093 + 0.183802i
\(485\) 18957.8 1.77490
\(486\) −10607.8 + 5779.71i −0.990081 + 0.539450i
\(487\) −2241.16 −0.208536 −0.104268 0.994549i \(-0.533250\pi\)
−0.104268 + 0.994549i \(0.533250\pi\)
\(488\) −2175.78 + 12339.5i −0.201830 + 1.14463i
\(489\) 45.2773 + 334.141i 0.00418714 + 0.0309005i
\(490\) 29812.4 + 10850.8i 2.74855 + 1.00039i
\(491\) 14180.0 11898.5i 1.30333 1.09363i 0.313774 0.949498i \(-0.398406\pi\)
0.989559 0.144129i \(-0.0460380\pi\)
\(492\) −2151.39 85.7773i −0.197139 0.00786004i
\(493\) 124.121 45.1762i 0.0113390 0.00412704i
\(494\) −4086.68 + 7078.33i −0.372203 + 0.644675i
\(495\) 7603.02 2099.02i 0.690364 0.190593i
\(496\) 1934.32 + 3350.34i 0.175108 + 0.303296i
\(497\) −11020.4 9247.20i −0.994632 0.834595i
\(498\) 3607.46 16568.6i 0.324607 1.49088i
\(499\) 2338.70 + 13263.4i 0.209809 + 1.18988i 0.889691 + 0.456563i \(0.150920\pi\)
−0.679882 + 0.733321i \(0.737969\pi\)
\(500\) 240.315 + 1362.89i 0.0214944 + 0.121901i
\(501\) −9069.40 8247.66i −0.808764 0.735485i
\(502\) −5343.39 4483.64i −0.475074 0.398635i
\(503\) 4772.18 + 8265.65i 0.423023 + 0.732698i 0.996234 0.0867103i \(-0.0276354\pi\)
−0.573210 + 0.819408i \(0.694302\pi\)
\(504\) 1530.65 + 16091.9i 0.135279 + 1.42221i
\(505\) 3648.11 6318.71i 0.321463 0.556790i
\(506\) −6329.72 + 2303.83i −0.556108 + 0.202407i
\(507\) −1215.12 2312.81i −0.106441 0.202595i
\(508\) −20.4706 + 17.1769i −0.00178787 + 0.00150020i
\(509\) −8149.65 2966.23i −0.709679 0.258302i −0.0381413 0.999272i \(-0.512144\pi\)
−0.671538 + 0.740970i \(0.734366\pi\)
\(510\) 6448.98 + 2642.71i 0.559933 + 0.229453i
\(511\) 4567.86 25905.6i 0.395441 2.24266i
\(512\) −4064.26 −0.350814
\(513\) −8673.39 1041.86i −0.746471 0.0896670i
\(514\) 2583.71 0.221717
\(515\) 3263.31 18507.1i 0.279220 1.58354i
\(516\) 3150.84 2436.72i 0.268814 0.207889i
\(517\) 5759.59 + 2096.32i 0.489955 + 0.178329i
\(518\) −4672.01 + 3920.28i −0.396286 + 0.332524i
\(519\) 6931.18 10971.2i 0.586214 0.927901i
\(520\) −10308.9 + 3752.15i −0.869379 + 0.316428i
\(521\) −7793.09 + 13498.0i −0.655320 + 1.13505i 0.326494 + 0.945199i \(0.394133\pi\)
−0.981814 + 0.189848i \(0.939201\pi\)
\(522\) 386.432 + 30.8636i 0.0324017 + 0.00258786i
\(523\) −6350.65 10999.7i −0.530965 0.919658i −0.999347 0.0361324i \(-0.988496\pi\)
0.468382 0.883526i \(-0.344837\pi\)
\(524\) 1638.43 + 1374.80i 0.136594 + 0.114616i
\(525\) −12833.4 + 4099.80i −1.06685 + 0.340819i
\(526\) −1616.97 9170.29i −0.134036 0.760159i
\(527\) −257.121 1458.21i −0.0212531 0.120532i
\(528\) −7731.26 + 2469.86i −0.637235 + 0.203573i
\(529\) −1089.96 914.588i −0.0895836 0.0751696i
\(530\) −2935.97 5085.26i −0.240624 0.416772i
\(531\) −8806.67 + 12782.0i −0.719730 + 1.04462i
\(532\) 2175.64 3768.32i 0.177305 0.307101i
\(533\) −7385.26 + 2688.02i −0.600171 + 0.218444i
\(534\) 4270.34 6759.39i 0.346059 0.547767i
\(535\) −12591.0 + 10565.1i −1.01749 + 0.853772i
\(536\) 12781.4 + 4652.06i 1.02999 + 0.374885i
\(537\) −16183.1 + 12515.3i −1.30047 + 1.00573i
\(538\) −3332.42 + 18899.1i −0.267046 + 1.51449i
\(539\) 14140.8 1.13003
\(540\) 2985.09 + 3184.32i 0.237885 + 0.253761i
\(541\) −15915.4 −1.26480 −0.632399 0.774643i \(-0.717930\pi\)
−0.632399 + 0.774643i \(0.717930\pi\)
\(542\) 1134.48 6433.96i 0.0899079 0.509893i
\(543\) 20703.2 + 8483.92i 1.63621 + 0.670497i
\(544\) −2638.66 960.393i −0.207962 0.0756922i
\(545\) −3575.56 + 3000.25i −0.281028 + 0.235810i
\(546\) −10215.4 19443.6i −0.800691 1.52401i
\(547\) 4290.07 1561.46i 0.335339 0.122053i −0.168862 0.985640i \(-0.554009\pi\)
0.504201 + 0.863586i \(0.331787\pi\)
\(548\) −705.379 + 1221.75i −0.0549859 + 0.0952384i
\(549\) 14826.3 10549.6i 1.15258 0.820117i
\(550\) −2616.17 4531.34i −0.202825 0.351304i
\(551\) 214.751 + 180.198i 0.0166038 + 0.0139323i
\(552\) 7408.34 + 6737.11i 0.571232 + 0.519475i
\(553\) −447.774 2539.45i −0.0344327 0.195278i
\(554\) −2318.77 13150.4i −0.177825 1.00850i
\(555\) 941.176 4322.71i 0.0719832 0.330610i
\(556\) −4736.81 3974.66i −0.361305 0.303171i
\(557\) −7631.87 13218.8i −0.580562 1.00556i −0.995413 0.0956732i \(-0.969500\pi\)
0.414851 0.909889i \(-0.363834\pi\)
\(558\) 1092.96 4206.06i 0.0829190 0.319098i
\(559\) 7269.60 12591.3i 0.550038 0.952694i
\(560\) 33251.2 12102.5i 2.50915 0.913254i
\(561\) 3103.97 + 123.757i 0.233600 + 0.00931377i
\(562\) −269.381 + 226.037i −0.0202191 + 0.0169658i
\(563\) −18106.8 6590.34i −1.35544 0.493339i −0.440797 0.897607i \(-0.645304\pi\)
−0.914641 + 0.404268i \(0.867526\pi\)
\(564\) 455.433 + 3361.04i 0.0340021 + 0.250931i
\(565\) −773.254 + 4385.34i −0.0575771 + 0.326536i
\(566\) 9912.26 0.736119
\(567\) 14815.5 18209.2i 1.09734 1.34870i
\(568\) −8305.91 −0.613571
\(569\) −738.639 + 4189.03i −0.0544206 + 0.308635i −0.999852 0.0171857i \(-0.994529\pi\)
0.945432 + 0.325820i \(0.105640\pi\)
\(570\) 1986.20 + 14657.9i 0.145952 + 1.07711i
\(571\) 3973.16 + 1446.11i 0.291194 + 0.105986i 0.483487 0.875352i \(-0.339370\pi\)
−0.192293 + 0.981338i \(0.561592\pi\)
\(572\) 1394.35 1170.00i 0.101924 0.0855248i
\(573\) −20811.8 829.778i −1.51732 0.0604965i
\(574\) 18425.7 6706.41i 1.33985 0.487666i
\(575\) −4172.91 + 7227.70i −0.302648 + 0.524202i
\(576\) 5924.25 + 5835.26i 0.428548 + 0.422111i
\(577\) 1201.69 + 2081.38i 0.0867016 + 0.150172i 0.906115 0.423031i \(-0.139034\pi\)
−0.819413 + 0.573203i \(0.805701\pi\)
\(578\) −9899.58 8306.74i −0.712402 0.597776i
\(579\) 2327.32 10689.1i 0.167047 0.767228i
\(580\) −24.3224 137.939i −0.00174126 0.00987519i
\(581\) 5721.99 + 32451.0i 0.408586 + 2.31720i
\(582\) 16212.1 + 14743.2i 1.15466 + 1.05005i
\(583\) −2004.93 1682.34i −0.142428 0.119512i
\(584\) −7593.77 13152.8i −0.538069 0.931963i
\(585\) 14489.8 + 6623.69i 1.02407 + 0.468130i
\(586\) −15482.3 + 26816.2i −1.09141 + 1.89039i
\(587\) 2410.61 877.389i 0.169500 0.0616929i −0.255876 0.966710i \(-0.582364\pi\)
0.425376 + 0.905017i \(0.360142\pi\)
\(588\) 3639.49 + 6927.27i 0.255255 + 0.485843i
\(589\) 2407.38 2020.03i 0.168412 0.141314i
\(590\) 24697.9 + 8989.31i 1.72338 + 0.627261i
\(591\) 4207.13 + 1724.03i 0.292823 + 0.119995i
\(592\) −790.496 + 4483.13i −0.0548804 + 0.311242i
\(593\) −11554.0 −0.800112 −0.400056 0.916491i \(-0.631009\pi\)
−0.400056 + 0.916491i \(0.631009\pi\)
\(594\) 8134.26 + 4117.76i 0.561874 + 0.284434i
\(595\) −13543.5 −0.933160
\(596\) 169.875 963.410i 0.0116751 0.0662127i
\(597\) 3927.56 3037.40i 0.269253 0.208229i
\(598\) −12785.5 4653.55i −0.874312 0.318224i
\(599\) −11775.6 + 9880.93i −0.803237 + 0.673996i −0.948983 0.315326i \(-0.897886\pi\)
0.145746 + 0.989322i \(0.453442\pi\)
\(600\) −4154.45 + 6575.96i −0.282675 + 0.447437i
\(601\) −19439.9 + 7075.54i −1.31942 + 0.480228i −0.903271 0.429070i \(-0.858841\pi\)
−0.416145 + 0.909298i \(0.636619\pi\)
\(602\) −18137.1 + 31414.4i −1.22793 + 2.12684i
\(603\) −8483.25 17838.7i −0.572910 1.20472i
\(604\) −393.943 682.329i −0.0265386 0.0459662i
\(605\) 10056.8 + 8438.64i 0.675812 + 0.567073i
\(606\) 8033.74 2566.49i 0.538529 0.172040i
\(607\) −2894.83 16417.4i −0.193571 1.09779i −0.914439 0.404723i \(-0.867368\pi\)
0.720868 0.693072i \(-0.243743\pi\)
\(608\) −1034.88 5869.11i −0.0690297 0.391487i
\(609\) −717.605 + 229.249i −0.0477484 + 0.0152539i
\(610\) −23602.8 19805.1i −1.56664 1.31457i
\(611\) 6190.27 + 10721.9i 0.409872 + 0.709919i
\(612\) 738.256 + 1552.42i 0.0487618 + 0.102537i
\(613\) 2046.39 3544.45i 0.134833 0.233538i −0.790700 0.612203i \(-0.790283\pi\)
0.925534 + 0.378665i \(0.123617\pi\)
\(614\) −11539.2 + 4199.94i −0.758446 + 0.276052i
\(615\) −7596.76 + 12024.7i −0.498099 + 0.788426i
\(616\) 9345.52 7841.82i 0.611269 0.512916i
\(617\) 20423.4 + 7433.51i 1.33260 + 0.485027i 0.907475 0.420106i \(-0.138007\pi\)
0.425127 + 0.905134i \(0.360229\pi\)
\(618\) 17183.5 13288.9i 1.11848 0.864983i
\(619\) −1735.43 + 9842.11i −0.112686 + 0.639075i 0.875184 + 0.483791i \(0.160740\pi\)
−0.987870 + 0.155284i \(0.950371\pi\)
\(620\) −1570.17 −0.101709
\(621\) −799.195 14520.3i −0.0516435 0.938291i
\(622\) 21687.3 1.39804
\(623\) −2697.98 + 15301.0i −0.173503 + 0.983984i
\(624\) −15169.8 6216.38i −0.973199 0.398805i
\(625\) 18048.4 + 6569.07i 1.15510 + 0.420420i
\(626\) −8115.18 + 6809.45i −0.518128 + 0.434761i
\(627\) 3066.43 + 5836.53i 0.195313 + 0.371752i
\(628\) −4501.59 + 1638.44i −0.286040 + 0.104110i
\(629\) 871.182 1508.93i 0.0552247 0.0956519i
\(630\) −36151.1 16525.6i −2.28618 1.04507i
\(631\) 1084.24 + 1877.97i 0.0684043 + 0.118480i 0.898199 0.439589i \(-0.144876\pi\)
−0.829795 + 0.558069i \(0.811543\pi\)
\(632\) −1140.48 956.975i −0.0717813 0.0602316i
\(633\) 4222.96 + 3840.34i 0.265162 + 0.241137i
\(634\) 1207.61 + 6848.72i 0.0756475 + 0.429018i
\(635\) 30.6538 + 173.846i 0.00191568 + 0.0108644i
\(636\) 308.121 1415.16i 0.0192103 0.0882308i
\(637\) 21880.8 + 18360.1i 1.36098 + 1.14200i
\(638\) −146.288 253.379i −0.00907777 0.0157232i
\(639\) 8593.61 + 8464.52i 0.532015 + 0.524024i
\(640\) 12528.6 21700.1i 0.773805 1.34027i
\(641\) −14042.1 + 5110.89i −0.865254 + 0.314927i −0.736244 0.676716i \(-0.763402\pi\)
−0.129011 + 0.991643i \(0.541180\pi\)
\(642\) −18983.8 756.894i −1.16702 0.0465299i
\(643\) 14505.7 12171.8i 0.889658 0.746512i −0.0784835 0.996915i \(-0.525008\pi\)
0.968142 + 0.250404i \(0.0805634\pi\)
\(644\) 6806.68 + 2477.43i 0.416492 + 0.151591i
\(645\) −3533.16 26074.2i −0.215687 1.59174i
\(646\) −1011.62 + 5737.19i −0.0616125 + 0.349422i
\(647\) −10983.5 −0.667400 −0.333700 0.942679i \(-0.608297\pi\)
−0.333700 + 0.942679i \(0.608297\pi\)
\(648\) −205.124 13551.9i −0.0124352 0.821556i
\(649\) 11714.9 0.708550
\(650\) 1835.27 10408.3i 0.110747 0.628075i
\(651\) 1133.96 + 8368.47i 0.0682694 + 0.503819i
\(652\) 132.334 + 48.1655i 0.00794875 + 0.00289311i
\(653\) 22030.2 18485.5i 1.32023 1.10780i 0.333970 0.942584i \(-0.391612\pi\)
0.986257 0.165218i \(-0.0528329\pi\)
\(654\) −5390.98 214.941i −0.322330 0.0128515i
\(655\) 13276.9 4832.40i 0.792017 0.288271i
\(656\) 7317.93 12675.0i 0.435544 0.754385i
\(657\) −5547.16 + 21347.1i −0.329399 + 1.26763i
\(658\) −15444.3 26750.3i −0.915016 1.58485i
\(659\) 12412.7 + 10415.5i 0.733736 + 0.615677i 0.931147 0.364643i \(-0.118809\pi\)
−0.197412 + 0.980321i \(0.563254\pi\)
\(660\) 700.805 3218.72i 0.0413315 0.189831i
\(661\) −152.498 864.862i −0.00897353 0.0508914i 0.979992 0.199036i \(-0.0637810\pi\)
−0.988966 + 0.148144i \(0.952670\pi\)
\(662\) −2923.23 16578.5i −0.171623 0.973324i
\(663\) 4642.23 + 4221.62i 0.271929 + 0.247291i
\(664\) 14573.9 + 12228.9i 0.851772 + 0.714721i
\(665\) −14372.3 24893.5i −0.838094 1.45162i
\(666\) 4166.58 2964.71i 0.242420 0.172493i
\(667\) −233.337 + 404.151i −0.0135455 + 0.0234615i
\(668\) −4811.02 + 1751.07i −0.278659 + 0.101423i
\(669\) 490.207 + 933.042i 0.0283296 + 0.0539215i
\(670\) −25621.9 + 21499.3i −1.47740 + 1.23969i
\(671\) −12905.0 4697.04i −0.742463 0.270234i
\(672\) 14819.0 + 6072.65i 0.850678 + 0.348597i
\(673\) 359.580 2039.28i 0.0205955 0.116803i −0.972777 0.231744i \(-0.925557\pi\)
0.993372 + 0.114941i \(0.0366679\pi\)
\(674\) 26108.5 1.49208
\(675\) 10999.9 2569.95i 0.627238 0.146544i
\(676\) −1091.13 −0.0620805
\(677\) −1246.66 + 7070.17i −0.0707727 + 0.401372i 0.928757 + 0.370690i \(0.120879\pi\)
−0.999529 + 0.0306815i \(0.990232\pi\)
\(678\) −4071.69 + 3148.87i −0.230638 + 0.178365i
\(679\) −40015.5 14564.4i −2.26164 0.823170i
\(680\) −5990.04 + 5026.24i −0.337805 + 0.283452i
\(681\) 8283.06 13111.0i 0.466090 0.737760i
\(682\) −3082.02 + 1121.76i −0.173045 + 0.0629832i
\(683\) 6300.70 10913.1i 0.352986 0.611390i −0.633785 0.773509i \(-0.718500\pi\)
0.986771 + 0.162119i \(0.0518330\pi\)
\(684\) −2069.96 + 3004.35i −0.115712 + 0.167945i
\(685\) 4659.72 + 8070.87i 0.259911 + 0.450178i
\(686\) −27608.0 23165.8i −1.53656 1.28932i
\(687\) −5654.54 + 1806.42i −0.314024 + 0.100319i
\(688\) 4701.63 + 26664.3i 0.260535 + 1.47757i
\(689\) −918.014 5206.32i −0.0507599 0.287873i
\(690\) −23455.9 + 7493.31i −1.29413 + 0.413428i
\(691\) 2525.98 + 2119.55i 0.139064 + 0.116688i 0.709666 0.704538i \(-0.248846\pi\)
−0.570602 + 0.821226i \(0.693290\pi\)
\(692\) −2709.91 4693.70i −0.148866 0.257844i
\(693\) −17660.8 1410.54i −0.968079 0.0773186i
\(694\) 16124.3 27928.1i 0.881944 1.52757i
\(695\) −38384.4 + 13970.8i −2.09497 + 0.762507i
\(696\) −232.305 + 367.708i −0.0126516 + 0.0200258i
\(697\) −4291.23 + 3600.77i −0.233202 + 0.195680i
\(698\) 10717.3 + 3900.76i 0.581166 + 0.211527i
\(699\) 16919.9 13085.1i 0.915552 0.708047i
\(700\) −977.051 + 5541.13i −0.0527558 + 0.299193i
\(701\) 29161.3 1.57119 0.785596 0.618739i \(-0.212356\pi\)
0.785596 + 0.618739i \(0.212356\pi\)
\(702\) 7240.12 + 16932.9i 0.389260 + 0.910389i
\(703\) 3697.96 0.198394
\(704\) 1089.79 6180.51i 0.0583424 0.330876i
\(705\) 20732.6 + 8495.96i 1.10757 + 0.453867i
\(706\) 1466.48 + 533.756i 0.0781754 + 0.0284535i
\(707\) −12554.7 + 10534.6i −0.667848 + 0.560391i
\(708\) 3015.11 + 5738.86i 0.160049 + 0.304632i
\(709\) −30356.3 + 11048.8i −1.60798 + 0.585256i −0.981039 0.193812i \(-0.937915\pi\)
−0.626939 + 0.779068i \(0.715693\pi\)
\(710\) 10212.2 17688.1i 0.539801 0.934963i
\(711\) 204.733 + 2152.38i 0.0107990 + 0.113531i
\(712\) 4485.21 + 7768.61i 0.236082 + 0.408906i
\(713\) 4007.53 + 3362.72i 0.210496 + 0.176627i
\(714\) −11582.0 10532.6i −0.607068 0.552064i
\(715\) −2087.98 11841.5i −0.109211 0.619367i
\(716\) 1483.66 + 8414.28i 0.0774402 + 0.439185i
\(717\) −6793.20 + 31200.3i −0.353831 + 1.62510i
\(718\) 31531.8 + 26458.3i 1.63894 + 1.37523i
\(719\) −2138.32 3703.67i −0.110912 0.192105i 0.805226 0.592968i \(-0.202044\pi\)
−0.916138 + 0.400862i \(0.868711\pi\)
\(720\) −28599.5 + 7895.64i −1.48033 + 0.408685i
\(721\) −21106.3 + 36557.2i −1.09021 + 1.88830i
\(722\) 8935.95 3252.42i 0.460612 0.167649i
\(723\) −25168.8 1003.50i −1.29466 0.0516189i
\(724\) 7158.19 6006.43i 0.367447 0.308325i
\(725\) −340.641 123.983i −0.0174498 0.00635120i
\(726\) 2037.64 + 15037.5i 0.104165 + 0.768725i
\(727\) 6189.02 35099.7i 0.315733 1.79061i −0.252344 0.967637i \(-0.581202\pi\)
0.568078 0.822975i \(-0.307687\pi\)
\(728\) 24642.4 1.25454
\(729\) −13598.5 + 14230.3i −0.690873 + 0.722976i
\(730\) 37346.6 1.89351
\(731\) 1799.53 10205.6i 0.0910504 0.516373i
\(732\) −1020.45 7530.77i −0.0515258 0.380253i
\(733\) −16264.4 5919.75i −0.819562 0.298296i −0.101994 0.994785i \(-0.532522\pi\)
−0.717568 + 0.696489i \(0.754745\pi\)
\(734\) 23840.8 20004.8i 1.19888 1.00598i
\(735\) 51651.8 + 2059.39i 2.59212 + 0.103349i
\(736\) 9322.64 3393.16i 0.466898 0.169937i
\(737\) −7454.02 + 12910.7i −0.372554 + 0.645283i
\(738\) −15848.0 + 4375.26i −0.790477 + 0.218232i
\(739\) 5197.85 + 9002.94i 0.258736 + 0.448144i 0.965904 0.258902i \(-0.0833607\pi\)
−0.707167 + 0.707046i \(0.750027\pi\)
\(740\) −1415.37 1187.64i −0.0703111 0.0589980i
\(741\) −2833.19 + 13012.5i −0.140459 + 0.645111i
\(742\) 2290.38 + 12989.4i 0.113319 + 0.642662i
\(743\) 1060.37 + 6013.64i 0.0523568 + 0.296930i 0.999731 0.0231986i \(-0.00738500\pi\)
−0.947374 + 0.320129i \(0.896274\pi\)
\(744\) 3607.21 + 3280.38i 0.177751 + 0.161646i
\(745\) −4950.52 4153.98i −0.243454 0.204282i
\(746\) −12954.7 22438.2i −0.635798 1.10123i
\(747\) −2616.23 27504.7i −0.128143 1.34718i
\(748\) 648.688 1123.56i 0.0317091 0.0549217i
\(749\) 34693.3 12627.3i 1.69248 0.616012i
\(750\) 4914.93 + 9354.90i 0.239291 + 0.455457i
\(751\) 12138.3 10185.2i 0.589791 0.494893i −0.298355 0.954455i \(-0.596438\pi\)
0.888146 + 0.459562i \(0.151993\pi\)
\(752\) −21665.2 7885.50i −1.05060 0.382386i
\(753\) −10516.6 4309.56i −0.508958 0.208565i
\(754\) 102.623 582.003i 0.00495664 0.0281105i
\(755\) −5204.76 −0.250888
\(756\) −3854.45 9014.67i −0.185430 0.433678i
\(757\) 2034.87 0.0976995 0.0488498 0.998806i \(-0.484444\pi\)
0.0488498 + 0.998806i \(0.484444\pi\)
\(758\) −3982.54 + 22586.1i −0.190834 + 1.08228i
\(759\) −8681.97 + 6714.26i −0.415198 + 0.321096i
\(760\) −15595.0 5676.11i −0.744328 0.270913i
\(761\) 1158.85