Properties

Label 27.4.e.a.13.6
Level 27
Weight 4
Character 27.13
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 13.6
Character \(\chi\) = 27.13
Dual form 27.4.e.a.25.6

$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\)

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 0.911291 + 0.411764i \(0.135087\pi\)
−0.715501 + 0.698611i \(0.753802\pi\)
\(3\) −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 0.00217737 0.999998i \(-0.499307\pi\)
−0.984427 + 0.175792i \(0.943751\pi\)
\(6\) −16.5577 + 0.660166i −1.12661 + 0.0449186i
\(7\) 30.2596 + 11.0136i 1.63387 + 0.594679i 0.985951 0.167033i \(-0.0534187\pi\)
0.647916 + 0.761712i \(0.275641\pi\)
\(8\) 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 −0.403276 0.915079i \(-0.632128\pi\)
0.831148 + 0.556051i \(0.187684\pi\)
\(12\) −2.39897 11.0182i −0.0577103 0.265056i
\(13\) 7.14749 40.5354i 0.152489 0.864808i −0.808557 0.588418i \(-0.799751\pi\)
0.961046 0.276390i \(-0.0891380\pi\)
\(14\) −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 −0.742208 0.670169i \(-0.766221\pi\)
0.951488 + 0.307686i \(0.0995548\pi\)
\(18\) 8.15342 85.7178i 0.106766 1.12244i
\(19\) −31.1332 53.9243i −0.375918 0.651110i 0.614546 0.788881i \(-0.289339\pi\)
−0.990464 + 0.137771i \(0.956006\pi\)
\(20\) 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 −0.743436 0.668807i \(-0.766805\pi\)
−0.139604 + 0.990207i \(0.544583\pi\)
\(24\) −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 0.987208 0.159435i \(-0.0509671\pi\)
−0.982202 + 0.187826i \(0.939856\pi\)
\(30\) 187.918 + 145.328i 1.14363 + 0.884436i
\(31\) −47.4267 + 17.2619i −0.274777 + 0.100011i −0.475733 0.879590i \(-0.657817\pi\)
0.200956 + 0.979600i \(0.435595\pi\)
\(32\) −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 −0.924424 0.381366i \(-0.875454\pi\)
0.792484 + 0.609892i \(0.208787\pi\)
\(38\) 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 −0.854233 0.519891i \(-0.825973\pi\)
0.980529 0.196373i \(-0.0629162\pi\)
\(42\) −508.301 162.384i −1.86744 0.596580i
\(43\) −270.590 + 227.052i −0.959641 + 0.805234i −0.980895 0.194540i \(-0.937679\pi\)
0.0212539 + 0.999774i \(0.493234\pi\)
\(44\) −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 0.741077 0.671420i \(-0.234315\pi\)
0.136117 + 0.990693i \(0.456538\pi\)
\(48\) −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 0.982828 0.184526i \(-0.0590749\pi\)
−0.0110562 + 0.999939i \(0.503519\pi\)
\(60\) −75.1862 + 143.107i −0.161775 + 0.307917i
\(61\) −633.299 230.502i −1.32927 0.483816i −0.422855 0.906197i \(-0.638972\pi\)
−0.906418 + 0.422382i \(0.861194\pi\)
\(62\) −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 −0.617910 0.786249i \(-0.712021\pi\)
0.849559 0.527494i \(-0.176868\pi\)
\(68\) −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 −0.990083 0.140486i \(-0.955134\pi\)
0.616706 + 0.787194i \(0.288467\pi\)
\(72\) −126.249 485.844i −0.206647 0.795240i
\(73\) 408.446 + 707.450i 0.654863 + 1.13426i 0.981928 + 0.189255i \(0.0606072\pi\)
−0.327065 + 0.945002i \(0.606059\pi\)
\(74\) −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 0.993107 0.117210i \(-0.0373951\pi\)
−0.973304 + 0.229521i \(0.926284\pi\)
\(80\) 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 −0.842631 0.538491i \(-0.818995\pi\)
0.607640 0.794213i \(-0.292116\pi\)
\(84\) 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 0.685844 0.727748i \(-0.259433\pi\)
−0.973171 + 0.230084i \(0.926100\pi\)
\(90\) −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 −0.994146 0.108041i \(-0.965542\pi\)
−0.0662317 + 0.997804i \(0.521098\pi\)
\(98\) −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 0.0955119 0.995428i \(-0.469551\pi\)
−0.566683 + 0.823936i \(0.691773\pi\)
\(102\) −226.112 + 430.373i −0.219494 + 0.417777i
\(103\) −1004.20 842.621i −0.960645 0.806077i 0.0204132 0.999792i \(-0.493502\pi\)
−0.981058 + 0.193715i \(0.937946\pi\)
\(104\) 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 0.736438 0.676505i \(-0.236506\pi\)
−0.538347 + 0.842724i \(0.680951\pi\)
\(114\) 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 0.868168 0.496270i \(-0.165297\pi\)
−0.863866 + 0.503721i \(0.831964\pi\)
\(128\) −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 −0.631862 0.775081i \(-0.717709\pi\)
0.0141778 + 0.999899i \(0.495487\pi\)
\(132\) −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 0.999562 + 0.0295782i \(0.00941640\pi\)
−0.929165 + 0.369665i \(0.879472\pi\)
\(138\) 1589.36 651.302i 0.980404 0.401757i
\(139\) 2677.52 974.536i 1.63384 0.594670i 0.647895 0.761730i \(-0.275650\pi\)
0.985947 + 0.167060i \(0.0534274\pi\)
\(140\) 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 −0.955697 0.294353i \(-0.904896\pi\)
0.998736 + 0.0502657i \(0.0160068\pi\)
\(150\) −283.848 1303.68i −0.154507 0.709634i
\(151\) 278.120 233.370i 0.149888 0.125771i −0.564760 0.825255i \(-0.691031\pi\)
0.714648 + 0.699484i \(0.246587\pi\)
\(152\) 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 0.961883 0.273462i \(-0.0881688\pi\)
−0.102278 + 0.994756i \(0.532613\pi\)
\(158\) −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 0.956982 0.290146i \(-0.0937038\pi\)
−0.119560 + 0.992827i \(0.538148\pi\)
\(168\) −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 −0.116957 0.993137i \(-0.537314\pi\)
0.957740 + 0.287636i \(0.0928694\pi\)
\(174\) −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 0.0821954 + 0.996616i \(0.473807\pi\)
−0.904193 + 0.427125i \(0.859526\pi\)
\(180\) −684.411 486.990i −0.283406 0.201656i
\(181\) −2152.95 3729.01i −0.884129 1.53136i −0.846709 0.532056i \(-0.821419\pi\)
−0.0374198 0.999300i \(-0.511914\pi\)
\(182\) 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 0.772741 + 0.634721i \(0.218885\pi\)
−0.509052 + 0.860736i \(0.670004\pi\)
\(192\) −1265.92 979.006i −0.475832 0.367988i
\(193\) 1978.35 720.061i 0.737849 0.268555i 0.0543656 0.998521i \(-0.482686\pi\)
0.683483 + 0.729966i \(0.260464\pi\)
\(194\) −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 0.776002 0.630731i \(-0.217245\pi\)
−0.934230 + 0.356672i \(0.883911\pi\)
\(198\) −995.488 1444.85i −0.357304 0.518592i
\(199\) 477.760 827.505i 0.170188 0.294775i −0.768297 0.640093i \(-0.778896\pi\)
0.938486 + 0.345318i \(0.112229\pi\)
\(200\) −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 0.495103 0.868834i \(-0.335130\pi\)
−0.769661 + 0.638453i \(0.779575\pi\)
\(212\) 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 0.313243 0.949673i \(-0.398585\pi\)
−0.370480 + 0.928840i \(0.620807\pi\)
\(224\) −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 −0.244125 0.969744i \(-0.578501\pi\)
0.912619 + 0.408811i \(0.134056\pi\)
\(228\) −519.460 + 472.394i −0.150886 + 0.137215i
\(229\) −198.375 + 1125.04i −0.0572446 + 0.324650i −0.999960 0.00894782i \(-0.997152\pi\)
0.942715 + 0.333598i \(0.108263\pi\)
\(230\) −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 −0.416931 0.908938i \(-0.636894\pi\)
0.995629 0.0933962i \(-0.0297723\pi\)
\(234\) −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 −0.971393 0.237479i \(-0.923679\pi\)
−0.591481 + 0.806319i \(0.701457\pi\)
\(240\) −766.702 + 5658.16i −0.206210 + 1.52180i
\(241\) 841.776 + 4773.95i 0.224994 + 1.27600i 0.862697 + 0.505722i \(0.168774\pi\)
−0.637702 + 0.770283i \(0.720115\pi\)
\(242\) −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 0.970139 0.242548i \(-0.0779832\pi\)
−0.695122 + 0.718891i \(0.744650\pi\)
\(252\) 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 −0.962963 0.269635i \(-0.913097\pi\)
0.997109 + 0.0759783i \(0.0242080\pi\)
\(258\) 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 0.643014 0.765854i \(-0.277684\pi\)
0.000295868 1.00000i \(0.499906\pi\)
\(264\) −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 0.731456 0.681889i \(-0.238841\pi\)
0.122018 + 0.992528i \(0.461063\pi\)
\(278\) 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 −0.651710 0.758468i \(-0.725948\pi\)
0.633777 + 0.773516i \(0.281504\pi\)
\(282\) −4747.88 1516.77i −1.00260 0.320293i
\(283\) 539.734 3060.98i 0.113370 0.642956i −0.874174 0.485613i \(-0.838596\pi\)
0.987544 0.157342i \(-0.0502926\pi\)
\(284\) 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 −0.823774 + 0.566919i \(0.808135\pi\)
−0.995456 + 0.0952266i \(0.969642\pi\)
\(294\) −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 −0.987614 0.156904i \(-0.949849\pi\)
0.629690 + 0.776847i \(0.283182\pi\)
\(308\) −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 −0.665047 0.746801i \(-0.731589\pi\)
0.880361 0.474304i \(-0.157300\pi\)
\(312\) 845.950 + 3885.35i 0.153502 + 0.705014i
\(313\) −2544.69 + 2135.25i −0.459535 + 0.385596i −0.842960 0.537976i \(-0.819189\pi\)
0.383425 + 0.923572i \(0.374745\pi\)
\(314\) −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 0.154042 0.988064i \(-0.450771\pi\)
−0.517113 + 0.855917i \(0.672993\pi\)
\(318\) 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 0.719274 0.694726i \(-0.244475\pi\)
0.104434 + 0.994532i \(0.466697\pi\)
\(332\) 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 −0.623503 0.781821i \(-0.714291\pi\)
0.853300 0.521421i \(-0.174598\pi\)
\(338\) −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 0.521952 0.852975i \(-0.325204\pi\)
0.948120 + 0.317913i \(0.102982\pi\)
\(348\) 46.9772 19.2507i 0.00723633 0.00296536i
\(349\) −621.019 3521.97i −0.0952503 0.540191i −0.994670 0.103106i \(-0.967122\pi\)
0.899420 0.437085i \(-0.143989\pi\)
\(350\) −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 0.977731 0.209862i \(-0.0673014\pi\)
−0.990544 + 0.137198i \(0.956190\pi\)
\(354\) −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 −0.748026 0.663669i \(-0.768998\pi\)
−0.200742 0.979644i \(-0.564335\pi\)
\(360\) −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 0.0688757 0.997625i \(-0.478059\pi\)
0.994429 + 0.105407i \(0.0336144\pi\)
\(368\) 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 0.962814 0.270166i \(-0.0870787\pi\)
−0.0988711 + 0.995100i \(0.531523\pi\)
\(374\) 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 −0.981344 0.192260i \(-0.938418\pi\)
−0.359748 0.933050i \(-0.617137\pi\)
\(384\) 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 −0.948172 0.317756i \(-0.897071\pi\)
0.148280 + 0.988945i \(0.452626\pi\)
\(390\) 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 0.727954 0.685626i \(-0.240471\pi\)
−0.957746 + 0.287614i \(0.907138\pi\)
\(398\) 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 0.483103 0.875564i \(-0.339510\pi\)
0.932880 + 0.360188i \(0.117288\pi\)
\(402\) −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 −0.656156 0.754625i \(-0.727819\pi\)
−0.0175811 + 0.999845i \(0.505597\pi\)
\(410\) −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 −0.993696 0.112109i \(-0.964239\pi\)
0.972112 + 0.234516i \(0.0753505\pi\)
\(420\) −3851.23 + 3502.29i −0.447430 + 0.406891i
\(421\) −458.729 + 384.919i −0.0531047 + 0.0445601i −0.668954 0.743304i \(-0.733258\pi\)
0.615849 + 0.787864i \(0.288813\pi\)
\(422\) 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 0.432681 0.901547i \(-0.357568\pi\)
−0.248051 + 0.968747i \(0.579790\pi\)
\(440\) −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 −0.170325 0.985388i \(-0.554482\pi\)
0.940841 + 0.338848i \(0.110037\pi\)
\(444\) 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 −0.861639 0.507522i \(-0.830562\pi\)
0.870346 + 0.492440i \(0.163895\pi\)
\(450\) 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 −0.981032 0.193847i \(-0.937903\pi\)
0.855569 0.517689i \(-0.173208\pi\)
\(458\) −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 0.995228 + 0.0975741i \(0.0311083\pi\)
−0.901836 + 0.432078i \(0.857781\pi\)
\(462\) −10061.6 + 4123.10i −1.01322 + 0.415203i
\(463\) 8793.05 3200.41i 0.882609 0.321243i 0.139347 0.990244i \(-0.455500\pi\)
0.743262 + 0.669000i \(0.233278\pi\)
\(464\) −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 0.817004 0.576633i \(-0.195634\pi\)
−0.907880 + 0.419230i \(0.862300\pi\)
\(468\) 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 0.816596 0.577210i \(-0.195859\pi\)
0.254525 + 0.967066i \(0.418081\pi\)
\(480\) −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 0.989559 + 0.144129i \(0.0460380\pi\)
0.313774 + 0.949498i \(0.398406\pi\)
\(492\) −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 −0.679882 0.733321i \(-0.737969\pi\)
0.889691 0.456563i \(-0.150920\pi\)
\(500\) 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 −0.573210 0.819408i \(-0.694302\pi\)
0.996234 + 0.0867103i \(0.0276354\pi\)
\(504\) 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 −0.671538 0.740970i \(-0.734366\pi\)
−0.0381413 + 0.999272i \(0.512144\pi\)
\(510\) 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 −0.981814 0.189848i \(-0.939201\pi\)
0.326494 0.945199i \(-0.394133\pi\)
\(522\) 386.432 30.8636i 0.0324017 0.00258786i
\(523\) −6350.65 + 10999.7i −0.530965 + 0.919658i 0.468382 + 0.883526i \(0.344837\pi\)
−0.999347 + 0.0361324i \(0.988496\pi\)
\(524\) 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 0.504201 0.863586i \(-0.331787\pi\)
−0.168862 + 0.985640i \(0.554009\pi\)
\(548\) −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 0.414851 + 0.909889i \(0.363834\pi\)
−0.995413 + 0.0956732i \(0.969500\pi\)
\(558\) 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 −0.914641 0.404268i \(-0.867526\pi\)
−0.440797 + 0.897607i \(0.645304\pi\)
\(564\) 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 0.945432 0.325820i \(-0.105640\pi\)
−0.999852 + 0.0171857i \(0.994529\pi\)
\(570\) 1986.20 14657.9i 0.145952 1.07711i
\(571\) 3973.16 1446.11i 0.291194 0.105986i −0.192293 0.981338i \(-0.561592\pi\)
0.483487 + 0.875352i \(0.339370\pi\)
\(572\) 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 −0.819413 0.573203i \(-0.805701\pi\)
0.906115 + 0.423031i \(0.139034\pi\)
\(578\) −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 0.425376 0.905017i \(-0.360142\pi\)
−0.255876 + 0.966710i \(0.582364\pi\)
\(588\) 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 0.145746 0.989322i \(-0.453442\pi\)
−0.948983 + 0.315326i \(0.897886\pi\)
\(600\) −4154.45 6575.96i −0.282675 0.447437i
\(601\) −19439.9 7075.54i −1.31942 0.480228i −0.416145 0.909298i \(-0.636619\pi\)
−0.903271 + 0.429070i \(0.858841\pi\)
\(602\) −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 0.720868 + 0.693072i \(0.243743\pi\)
−0.914439 + 0.404723i \(0.867368\pi\)
\(608\) −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 0.925534 0.378665i \(-0.123617\pi\)
−0.790700 + 0.612203i \(0.790283\pi\)
\(614\) −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 0.425127 0.905134i \(-0.360229\pi\)
0.907475 + 0.420106i \(0.138007\pi\)
\(618\) 17183.5 + 13288.9i 1.11848 + 0.864983i
\(619\) −1735.43 9842.11i −0.112686 0.639075i −0.987870 0.155284i \(-0.950371\pi\)
0.875184 0.483791i \(-0.160740\pi\)
\(620\) −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 −0.829795 0.558069i \(-0.811543\pi\)
0.898199 + 0.439589i \(0.144876\pi\)
\(632\) −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 −0.129011 0.991643i \(-0.541180\pi\)
−0.736244 + 0.676716i \(0.763402\pi\)
\(642\) −18983.8 + 756.894i −1.16702 + 0.0465299i
\(643\) 14505.7 + 12171.8i 0.889658 + 0.746512i 0.968142 0.250404i \(-0.0805634\pi\)
−0.0784835 + 0.996915i \(0.525008\pi\)
\(644\) 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 0.986257 + 0.165218i \(0.0528329\pi\)
0.333970 + 0.942584i \(0.391612\pi\)
\(654\) −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 −0.197412 0.980321i \(-0.563254\pi\)
0.931147 + 0.364643i \(0.118809\pi\)
\(660\) 700.805 + 3218.72i 0.0413315 + 0.189831i
\(661\) −152.498 + 864.862i −0.00897353 + 0.0508914i −0.988966 0.148144i \(-0.952670\pi\)
0.979992 + 0.199036i \(0.0637810\pi\)
\(662\) −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 0.993372 0.114941i \(-0.0366679\pi\)
−0.972777 + 0.231744i \(0.925557\pi\)
\(674\) 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 −0.999529 0.0306815i \(-0.990232\pi\)
0.928757 0.370690i \(-0.120879\pi\)
\(678\) −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 0.986771 0.162119i \(-0.0518330\pi\)
−0.633785 + 0.773509i \(0.718500\pi\)
\(684\) −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 −0.570602 0.821226i \(-0.693290\pi\)
0.709666 + 0.704538i \(0.248846\pi\)
\(692\) −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 −0.626939 0.779068i \(-0.715693\pi\)
−0.981039 + 0.193812i \(0.937915\pi\)
\(710\) 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 −0.916138 0.400862i \(-0.868711\pi\)
0.805226 + 0.592968i \(0.202044\pi\)
\(720\) −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 0.568078 + 0.822975i \(0.307687\pi\)
−0.252344 + 0.967637i \(0.581202\pi\)
\(728\) 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 −0.717568 0.696489i \(-0.754745\pi\)
−0.101994 + 0.994785i \(0.532522\pi\)
\(734\) 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 −0.707167 0.707046i \(-0.750027\pi\)
0.965904 + 0.258902i \(0.0833607\pi\)
\(740\) −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 −0.947374 0.320129i \(-0.896274\pi\)
0.999731 + 0.0231986i \(0.00738500\pi\)
\(744\) 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 0.888146 0.459562i \(-0.151993\pi\)
−0.298355 + 0.954455i \(0.596438\pi\)
\(752\) −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 + 972.389i