Properties

Label 74.4.f.b.49.3
Level $74$
Weight $4$
Character 74.49
Analytic conductor $4.366$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 74 = 2 \cdot 37 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 74.f (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36614134042\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(5\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 49.3
Character \(\chi\) \(=\) 74.49
Dual form 74.4.f.b.71.3

$q$-expansion

\(f(q)\) \(=\) \(q+(1.53209 - 1.28558i) q^{2} +(-0.840966 - 0.705654i) q^{3} +(0.694593 - 3.93923i) q^{4} +(5.39277 - 1.96281i) q^{5} -2.19561 q^{6} +(14.5717 - 5.30365i) q^{7} +(-4.00000 - 6.92820i) q^{8} +(-4.47923 - 25.4029i) q^{9} +O(q^{10})\) \(q+(1.53209 - 1.28558i) q^{2} +(-0.840966 - 0.705654i) q^{3} +(0.694593 - 3.93923i) q^{4} +(5.39277 - 1.96281i) q^{5} -2.19561 q^{6} +(14.5717 - 5.30365i) q^{7} +(-4.00000 - 6.92820i) q^{8} +(-4.47923 - 25.4029i) q^{9} +(5.73887 - 9.94001i) q^{10} +(-7.91231 - 13.7045i) q^{11} +(-3.36386 + 2.82262i) q^{12} +(1.32743 - 7.52822i) q^{13} +(15.5068 - 26.8586i) q^{14} +(-5.92020 - 2.15478i) q^{15} +(-15.0351 - 5.47232i) q^{16} +(11.1103 + 63.0097i) q^{17} +(-39.5200 - 33.1612i) q^{18} +(70.4256 + 59.0941i) q^{19} +(-3.98617 - 22.6067i) q^{20} +(-15.9968 - 5.82236i) q^{21} +(-29.7406 - 10.8247i) q^{22} +(-5.71743 + 9.90287i) q^{23} +(-1.52505 + 8.64900i) q^{24} +(-70.5262 + 59.1785i) q^{25} +(-7.64436 - 13.2404i) q^{26} +(-28.9791 + 50.1934i) q^{27} +(-10.7709 - 61.0851i) q^{28} +(73.3600 + 127.063i) q^{29} +(-11.8404 + 4.30955i) q^{30} +129.467 q^{31} +(-30.0702 + 10.9446i) q^{32} +(-3.01667 + 17.1084i) q^{33} +(98.0257 + 82.2533i) q^{34} +(68.1716 - 57.2028i) q^{35} -103.179 q^{36} +(-222.421 + 34.3764i) q^{37} +183.868 q^{38} +(-6.42864 + 5.39427i) q^{39} +(-35.1698 - 29.5110i) q^{40} +(-35.9046 + 203.625i) q^{41} +(-31.9936 + 11.6447i) q^{42} +176.345 q^{43} +(-59.4811 + 21.6494i) q^{44} +(-74.0165 - 128.200i) q^{45} +(3.97128 + 22.5223i) q^{46} +(-16.9231 + 29.3116i) q^{47} +(8.78242 + 15.2116i) q^{48} +(-78.5484 + 65.9100i) q^{49} +(-31.9740 + 181.333i) q^{50} +(35.1197 - 60.8290i) q^{51} +(-28.7334 - 10.4581i) q^{52} +(-279.147 - 101.601i) q^{53} +(20.1287 + 114.156i) q^{54} +(-69.5686 - 58.3750i) q^{55} +(-95.0315 - 79.7409i) q^{56} +(-17.5255 - 99.3921i) q^{57} +(275.744 + 100.362i) q^{58} +(-42.2700 - 15.3850i) q^{59} +(-12.6003 + 21.8243i) q^{60} +(133.175 - 755.275i) q^{61} +(198.355 - 166.439i) q^{62} +(-199.998 - 346.407i) q^{63} +(-32.0000 + 55.4256i) q^{64} +(-7.61794 - 43.2035i) q^{65} +(17.3723 + 30.0897i) q^{66} +(534.386 - 194.500i) q^{67} +255.927 q^{68} +(11.7962 - 4.29345i) q^{69} +(30.9065 - 175.279i) q^{70} +(-246.844 - 207.127i) q^{71} +(-158.080 + 132.645i) q^{72} +323.377 q^{73} +(-296.576 + 338.607i) q^{74} +101.070 q^{75} +(281.702 - 236.376i) q^{76} +(-187.980 - 157.734i) q^{77} +(-2.91451 + 16.5290i) q^{78} +(767.573 - 279.374i) q^{79} -91.8219 q^{80} +(-594.669 + 216.442i) q^{81} +(206.766 + 358.130i) q^{82} +(-42.3129 - 239.969i) q^{83} +(-34.0469 + 58.9710i) q^{84} +(183.591 + 317.989i) q^{85} +(270.176 - 226.704i) q^{86} +(27.9695 - 158.623i) q^{87} +(-63.2985 + 109.636i) q^{88} +(-522.779 - 190.276i) q^{89} +(-278.211 - 101.261i) q^{90} +(-20.5842 - 116.739i) q^{91} +(35.0384 + 29.4007i) q^{92} +(-108.877 - 91.3587i) q^{93} +(11.7546 + 66.6638i) q^{94} +(495.779 + 180.449i) q^{95} +(33.0111 + 12.0151i) q^{96} +(-280.746 + 486.267i) q^{97} +(-35.6110 + 201.960i) q^{98} +(-312.694 + 262.382i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30 q + 6 q^{3} - 6 q^{5} - 36 q^{6} - 75 q^{7} - 120 q^{8} - 48 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 30 q + 6 q^{3} - 6 q^{5} - 36 q^{6} - 75 q^{7} - 120 q^{8} - 48 q^{9} + 54 q^{10} - 21 q^{11} + 24 q^{12} - 159 q^{13} + 6 q^{14} - 69 q^{15} - 171 q^{17} + 192 q^{18} - 45 q^{19} - 24 q^{20} + 579 q^{21} + 42 q^{22} + 459 q^{23} + 48 q^{24} - 204 q^{25} + 264 q^{26} + 435 q^{27} + 96 q^{28} + 273 q^{29} - 138 q^{30} - 258 q^{31} - 318 q^{33} - 558 q^{34} - 753 q^{35} + 1296 q^{36} - 891 q^{37} - 2556 q^{38} - 504 q^{39} + 96 q^{40} + 648 q^{41} + 1158 q^{42} - 216 q^{43} + 84 q^{44} + 1731 q^{45} - 6 q^{46} + 48 q^{47} + 144 q^{48} + 1731 q^{49} + 240 q^{50} + 972 q^{51} + 48 q^{52} - 135 q^{53} + 360 q^{54} + 765 q^{55} + 408 q^{56} - 405 q^{57} - 762 q^{58} + 1836 q^{59} + 108 q^{60} - 684 q^{61} - 204 q^{62} - 3264 q^{63} - 960 q^{64} - 1350 q^{65} + 252 q^{66} + 1095 q^{67} - 432 q^{68} - 5823 q^{69} - 1146 q^{70} + 4179 q^{71} + 768 q^{72} - 2658 q^{73} - 1692 q^{74} - 10416 q^{75} - 180 q^{76} + 267 q^{77} + 1530 q^{78} + 4866 q^{79} - 864 q^{80} - 2076 q^{81} + 1800 q^{82} - 186 q^{83} + 504 q^{84} + 753 q^{85} + 648 q^{86} - 525 q^{87} - 168 q^{88} + 687 q^{89} + 768 q^{90} + 3990 q^{91} + 132 q^{92} + 3753 q^{93} + 6210 q^{94} + 9000 q^{95} - 384 q^{96} + 7428 q^{97} - 1542 q^{98} + 6324 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{7}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.53209 1.28558i 0.541675 0.454519i
\(3\) −0.840966 0.705654i −0.161844 0.135803i 0.558269 0.829660i \(-0.311466\pi\)
−0.720113 + 0.693857i \(0.755910\pi\)
\(4\) 0.694593 3.93923i 0.0868241 0.492404i
\(5\) 5.39277 1.96281i 0.482344 0.175559i −0.0893919 0.995997i \(-0.528492\pi\)
0.571736 + 0.820438i \(0.306270\pi\)
\(6\) −2.19561 −0.149392
\(7\) 14.5717 5.30365i 0.786796 0.286370i 0.0827926 0.996567i \(-0.473616\pi\)
0.704004 + 0.710196i \(0.251394\pi\)
\(8\) −4.00000 6.92820i −0.176777 0.306186i
\(9\) −4.47923 25.4029i −0.165897 0.940850i
\(10\) 5.73887 9.94001i 0.181479 0.314331i
\(11\) −7.91231 13.7045i −0.216877 0.375643i 0.736974 0.675921i \(-0.236254\pi\)
−0.953852 + 0.300278i \(0.902921\pi\)
\(12\) −3.36386 + 2.82262i −0.0809219 + 0.0679016i
\(13\) 1.32743 7.52822i 0.0283202 0.160612i −0.967368 0.253376i \(-0.918459\pi\)
0.995688 + 0.0927640i \(0.0295702\pi\)
\(14\) 15.5068 26.8586i 0.296027 0.512734i
\(15\) −5.92020 2.15478i −0.101906 0.0370907i
\(16\) −15.0351 5.47232i −0.234923 0.0855050i
\(17\) 11.1103 + 63.0097i 0.158509 + 0.898947i 0.955508 + 0.294966i \(0.0953085\pi\)
−0.796999 + 0.603981i \(0.793580\pi\)
\(18\) −39.5200 33.1612i −0.517497 0.434232i
\(19\) 70.4256 + 59.0941i 0.850354 + 0.713532i 0.959868 0.280453i \(-0.0904848\pi\)
−0.109513 + 0.993985i \(0.534929\pi\)
\(20\) −3.98617 22.6067i −0.0445668 0.252751i
\(21\) −15.9968 5.82236i −0.166228 0.0605021i
\(22\) −29.7406 10.8247i −0.288214 0.104901i
\(23\) −5.71743 + 9.90287i −0.0518333 + 0.0897779i −0.890778 0.454439i \(-0.849840\pi\)
0.838945 + 0.544217i \(0.183173\pi\)
\(24\) −1.52505 + 8.64900i −0.0129708 + 0.0735612i
\(25\) −70.5262 + 59.1785i −0.564210 + 0.473428i
\(26\) −7.64436 13.2404i −0.0576609 0.0998715i
\(27\) −28.9791 + 50.1934i −0.206557 + 0.357767i
\(28\) −10.7709 61.0851i −0.0726970 0.412285i
\(29\) 73.3600 + 127.063i 0.469745 + 0.813623i 0.999402 0.0345895i \(-0.0110124\pi\)
−0.529656 + 0.848212i \(0.677679\pi\)
\(30\) −11.8404 + 4.30955i −0.0720583 + 0.0262271i
\(31\) 129.467 0.750094 0.375047 0.927006i \(-0.377627\pi\)
0.375047 + 0.927006i \(0.377627\pi\)
\(32\) −30.0702 + 10.9446i −0.166116 + 0.0604612i
\(33\) −3.01667 + 17.1084i −0.0159132 + 0.0902481i
\(34\) 98.0257 + 82.2533i 0.494449 + 0.414892i
\(35\) 68.1716 57.2028i 0.329232 0.276258i
\(36\) −103.179 −0.477682
\(37\) −222.421 + 34.3764i −0.988266 + 0.152742i
\(38\) 183.868 0.784930
\(39\) −6.42864 + 5.39427i −0.0263950 + 0.0221481i
\(40\) −35.1698 29.5110i −0.139021 0.116652i
\(41\) −35.9046 + 203.625i −0.136765 + 0.775631i 0.836850 + 0.547433i \(0.184395\pi\)
−0.973615 + 0.228199i \(0.926716\pi\)
\(42\) −31.9936 + 11.6447i −0.117541 + 0.0427814i
\(43\) 176.345 0.625402 0.312701 0.949852i \(-0.398766\pi\)
0.312701 + 0.949852i \(0.398766\pi\)
\(44\) −59.4811 + 21.6494i −0.203798 + 0.0741764i
\(45\) −74.0165 128.200i −0.245194 0.424689i
\(46\) 3.97128 + 22.5223i 0.0127290 + 0.0721897i
\(47\) −16.9231 + 29.3116i −0.0525209 + 0.0909688i −0.891091 0.453826i \(-0.850059\pi\)
0.838570 + 0.544794i \(0.183392\pi\)
\(48\) 8.78242 + 15.2116i 0.0264090 + 0.0457418i
\(49\) −78.5484 + 65.9100i −0.229004 + 0.192157i
\(50\) −31.9740 + 181.333i −0.0904361 + 0.512888i
\(51\) 35.1197 60.8290i 0.0964262 0.167015i
\(52\) −28.7334 10.4581i −0.0766270 0.0278900i
\(53\) −279.147 101.601i −0.723468 0.263321i −0.0460709 0.998938i \(-0.514670\pi\)
−0.677397 + 0.735617i \(0.736892\pi\)
\(54\) 20.1287 + 114.156i 0.0507254 + 0.287678i
\(55\) −69.5686 58.3750i −0.170557 0.143114i
\(56\) −95.0315 79.7409i −0.226770 0.190283i
\(57\) −17.5255 99.3921i −0.0407248 0.230962i
\(58\) 275.744 + 100.362i 0.624257 + 0.227211i
\(59\) −42.2700 15.3850i −0.0932725 0.0339484i 0.294962 0.955509i \(-0.404693\pi\)
−0.388235 + 0.921560i \(0.626915\pi\)
\(60\) −12.6003 + 21.8243i −0.0271115 + 0.0469585i
\(61\) 133.175 755.275i 0.279530 1.58529i −0.444663 0.895698i \(-0.646677\pi\)
0.724193 0.689597i \(-0.242212\pi\)
\(62\) 198.355 166.439i 0.406307 0.340932i
\(63\) −199.998 346.407i −0.399959 0.692749i
\(64\) −32.0000 + 55.4256i −0.0625000 + 0.108253i
\(65\) −7.61794 43.2035i −0.0145368 0.0824420i
\(66\) 17.3723 + 30.0897i 0.0323997 + 0.0561180i
\(67\) 534.386 194.500i 0.974412 0.354657i 0.194747 0.980854i \(-0.437611\pi\)
0.779665 + 0.626197i \(0.215389\pi\)
\(68\) 255.927 0.456407
\(69\) 11.7962 4.29345i 0.0205810 0.00749088i
\(70\) 30.9065 175.279i 0.0527719 0.299284i
\(71\) −246.844 207.127i −0.412605 0.346217i 0.412736 0.910851i \(-0.364573\pi\)
−0.825342 + 0.564634i \(0.809018\pi\)
\(72\) −158.080 + 132.645i −0.258749 + 0.217116i
\(73\) 323.377 0.518472 0.259236 0.965814i \(-0.416529\pi\)
0.259236 + 0.965814i \(0.416529\pi\)
\(74\) −296.576 + 338.607i −0.465895 + 0.531923i
\(75\) 101.070 0.155607
\(76\) 281.702 236.376i 0.425177 0.356766i
\(77\) −187.980 157.734i −0.278211 0.233447i
\(78\) −2.91451 + 16.5290i −0.00423081 + 0.0239941i
\(79\) 767.573 279.374i 1.09315 0.397874i 0.268362 0.963318i \(-0.413518\pi\)
0.824786 + 0.565445i \(0.191295\pi\)
\(80\) −91.8219 −0.128325
\(81\) −594.669 + 216.442i −0.815733 + 0.296902i
\(82\) 206.766 + 358.130i 0.278458 + 0.482303i
\(83\) −42.3129 239.969i −0.0559572 0.317349i 0.943962 0.330054i \(-0.107067\pi\)
−0.999919 + 0.0127048i \(0.995956\pi\)
\(84\) −34.0469 + 58.9710i −0.0442241 + 0.0765983i
\(85\) 183.591 + 317.989i 0.234274 + 0.405774i
\(86\) 270.176 226.704i 0.338765 0.284258i
\(87\) 27.9695 158.623i 0.0344671 0.195473i
\(88\) −63.2985 + 109.636i −0.0766777 + 0.132810i
\(89\) −522.779 190.276i −0.622634 0.226620i 0.0113879 0.999935i \(-0.496375\pi\)
−0.634022 + 0.773315i \(0.718597\pi\)
\(90\) −278.211 101.261i −0.325845 0.118598i
\(91\) −20.5842 116.739i −0.0237122 0.134479i
\(92\) 35.0384 + 29.4007i 0.0397066 + 0.0333178i
\(93\) −108.877 91.3587i −0.121398 0.101865i
\(94\) 11.7546 + 66.6638i 0.0128978 + 0.0731473i
\(95\) 495.779 + 180.449i 0.535430 + 0.194881i
\(96\) 33.0111 + 12.0151i 0.0350956 + 0.0127738i
\(97\) −280.746 + 486.267i −0.293871 + 0.508999i −0.974722 0.223423i \(-0.928277\pi\)
0.680851 + 0.732422i \(0.261610\pi\)
\(98\) −35.6110 + 201.960i −0.0367066 + 0.208174i
\(99\) −312.694 + 262.382i −0.317444 + 0.266367i
\(100\) 184.131 + 318.924i 0.184131 + 0.318924i
\(101\) −648.095 + 1122.53i −0.638494 + 1.10590i 0.347270 + 0.937765i \(0.387109\pi\)
−0.985763 + 0.168138i \(0.946224\pi\)
\(102\) −24.3939 138.344i −0.0236799 0.134295i
\(103\) 454.819 + 787.770i 0.435094 + 0.753605i 0.997303 0.0733902i \(-0.0233818\pi\)
−0.562209 + 0.826995i \(0.690049\pi\)
\(104\) −57.4668 + 20.9162i −0.0541835 + 0.0197212i
\(105\) −97.6953 −0.0908008
\(106\) −558.295 + 203.203i −0.511569 + 0.186196i
\(107\) −134.205 + 761.115i −0.121253 + 0.687661i 0.862210 + 0.506552i \(0.169080\pi\)
−0.983463 + 0.181110i \(0.942031\pi\)
\(108\) 177.595 + 149.019i 0.158232 + 0.132772i
\(109\) −436.433 + 366.211i −0.383511 + 0.321804i −0.814079 0.580754i \(-0.802758\pi\)
0.430568 + 0.902558i \(0.358313\pi\)
\(110\) −181.631 −0.157435
\(111\) 211.307 + 128.043i 0.180688 + 0.109489i
\(112\) −248.110 −0.209323
\(113\) −857.507 + 719.534i −0.713872 + 0.599010i −0.925683 0.378301i \(-0.876508\pi\)
0.211811 + 0.977311i \(0.432064\pi\)
\(114\) −154.627 129.747i −0.127036 0.106596i
\(115\) −11.3953 + 64.6261i −0.00924017 + 0.0524036i
\(116\) 551.487 200.725i 0.441416 0.160662i
\(117\) −197.185 −0.155810
\(118\) −84.5399 + 30.7700i −0.0659536 + 0.0240052i
\(119\) 496.077 + 859.231i 0.382146 + 0.661896i
\(120\) 8.75207 + 49.6354i 0.00665792 + 0.0377590i
\(121\) 540.291 935.811i 0.405928 0.703089i
\(122\) −766.926 1328.35i −0.569133 0.985767i
\(123\) 173.883 145.905i 0.127468 0.106958i
\(124\) 89.9266 509.999i 0.0651262 0.369349i
\(125\) −622.855 + 1078.82i −0.445679 + 0.771938i
\(126\) −751.747 273.614i −0.531516 0.193456i
\(127\) 2381.01 + 866.615i 1.66362 + 0.605509i 0.990926 0.134409i \(-0.0429136\pi\)
0.672697 + 0.739918i \(0.265136\pi\)
\(128\) 22.2270 + 126.055i 0.0153485 + 0.0870455i
\(129\) −148.300 124.438i −0.101218 0.0849316i
\(130\) −67.2127 56.3981i −0.0453457 0.0380496i
\(131\) −410.302 2326.94i −0.273651 1.55195i −0.743215 0.669052i \(-0.766700\pi\)
0.469565 0.882898i \(-0.344411\pi\)
\(132\) 65.2985 + 23.7667i 0.0430569 + 0.0156714i
\(133\) 1339.63 + 487.586i 0.873390 + 0.317888i
\(134\) 568.681 984.985i 0.366616 0.634998i
\(135\) −57.7580 + 327.562i −0.0368223 + 0.208830i
\(136\) 392.103 329.013i 0.247225 0.207446i
\(137\) −689.139 1193.62i −0.429760 0.744366i 0.567092 0.823655i \(-0.308068\pi\)
−0.996852 + 0.0792887i \(0.974735\pi\)
\(138\) 12.5532 21.7428i 0.00774348 0.0134121i
\(139\) −33.4477 189.691i −0.0204101 0.115751i 0.972901 0.231224i \(-0.0742729\pi\)
−0.993311 + 0.115472i \(0.963162\pi\)
\(140\) −177.983 308.276i −0.107445 0.186101i
\(141\) 34.9155 12.7082i 0.0208540 0.00759025i
\(142\) −644.464 −0.380860
\(143\) −113.674 + 41.3739i −0.0664747 + 0.0241948i
\(144\) −71.6676 + 406.447i −0.0414743 + 0.235212i
\(145\) 645.015 + 541.232i 0.369418 + 0.309978i
\(146\) 495.443 415.726i 0.280843 0.235656i
\(147\) 112.566 0.0631585
\(148\) −19.0757 + 900.047i −0.0105947 + 0.499888i
\(149\) −697.341 −0.383412 −0.191706 0.981452i \(-0.561402\pi\)
−0.191706 + 0.981452i \(0.561402\pi\)
\(150\) 154.848 129.933i 0.0842884 0.0707264i
\(151\) −357.693 300.140i −0.192773 0.161755i 0.541293 0.840834i \(-0.317935\pi\)
−0.734065 + 0.679079i \(0.762379\pi\)
\(152\) 127.713 724.299i 0.0681508 0.386503i
\(153\) 1550.87 564.469i 0.819478 0.298266i
\(154\) −490.780 −0.256806
\(155\) 698.184 254.118i 0.361803 0.131686i
\(156\) 16.7840 + 29.0707i 0.00861407 + 0.0149200i
\(157\) −487.525 2764.89i −0.247826 1.40549i −0.813836 0.581095i \(-0.802625\pi\)
0.566010 0.824399i \(-0.308486\pi\)
\(158\) 816.834 1414.80i 0.411290 0.712376i
\(159\) 163.058 + 282.425i 0.0813291 + 0.140866i
\(160\) −140.679 + 118.044i −0.0695105 + 0.0583262i
\(161\) −30.7910 + 174.625i −0.0150725 + 0.0854804i
\(162\) −632.834 + 1096.10i −0.306914 + 0.531591i
\(163\) 668.275 + 243.232i 0.321125 + 0.116880i 0.497553 0.867434i \(-0.334232\pi\)
−0.176428 + 0.984314i \(0.556454\pi\)
\(164\) 777.187 + 282.873i 0.370049 + 0.134687i
\(165\) 17.3123 + 98.1827i 0.00816823 + 0.0463243i
\(166\) −373.325 313.257i −0.174552 0.146466i
\(167\) −1228.28 1030.65i −0.569143 0.477567i 0.312219 0.950010i \(-0.398928\pi\)
−0.881361 + 0.472443i \(0.843372\pi\)
\(168\) 23.6487 + 134.119i 0.0108604 + 0.0615921i
\(169\) 2009.59 + 731.432i 0.914698 + 0.332923i
\(170\) 690.078 + 251.168i 0.311333 + 0.113316i
\(171\) 1185.71 2053.71i 0.530255 0.918429i
\(172\) 122.488 694.662i 0.0543000 0.307950i
\(173\) 392.530 329.372i 0.172506 0.144750i −0.552447 0.833548i \(-0.686306\pi\)
0.724953 + 0.688798i \(0.241861\pi\)
\(174\) −161.070 278.981i −0.0701762 0.121549i
\(175\) −713.822 + 1236.38i −0.308342 + 0.534064i
\(176\) 43.9667 + 249.347i 0.0188302 + 0.106791i
\(177\) 24.6911 + 42.7662i 0.0104853 + 0.0181610i
\(178\) −1045.56 + 380.552i −0.440269 + 0.160245i
\(179\) −3868.36 −1.61528 −0.807639 0.589677i \(-0.799255\pi\)
−0.807639 + 0.589677i \(0.799255\pi\)
\(180\) −556.422 + 202.521i −0.230407 + 0.0838613i
\(181\) 82.9415 470.385i 0.0340607 0.193168i −0.963030 0.269395i \(-0.913176\pi\)
0.997090 + 0.0762270i \(0.0242874\pi\)
\(182\) −181.614 152.392i −0.0739676 0.0620662i
\(183\) −644.958 + 541.184i −0.260528 + 0.218609i
\(184\) 91.4788 0.0366517
\(185\) −1131.99 + 621.954i −0.449869 + 0.247173i
\(186\) −284.258 −0.112058
\(187\) 775.610 650.814i 0.303306 0.254504i
\(188\) 103.710 + 87.0234i 0.0402333 + 0.0337598i
\(189\) −156.066 + 885.096i −0.0600643 + 0.340642i
\(190\) 991.558 360.898i 0.378606 0.137801i
\(191\) −2914.27 −1.10403 −0.552013 0.833835i \(-0.686140\pi\)
−0.552013 + 0.833835i \(0.686140\pi\)
\(192\) 66.0222 24.0301i 0.0248164 0.00903242i
\(193\) 584.085 + 1011.67i 0.217841 + 0.377312i 0.954148 0.299336i \(-0.0967651\pi\)
−0.736306 + 0.676648i \(0.763432\pi\)
\(194\) 195.004 + 1105.92i 0.0721675 + 0.409282i
\(195\) −24.0803 + 41.7083i −0.00884320 + 0.0153169i
\(196\) 205.075 + 355.201i 0.0747359 + 0.129446i
\(197\) −642.296 + 538.950i −0.232293 + 0.194917i −0.751503 0.659730i \(-0.770671\pi\)
0.519210 + 0.854647i \(0.326226\pi\)
\(198\) −141.764 + 803.984i −0.0508825 + 0.288569i
\(199\) −1219.10 + 2111.54i −0.434269 + 0.752176i −0.997236 0.0743036i \(-0.976327\pi\)
0.562967 + 0.826480i \(0.309660\pi\)
\(200\) 692.105 + 251.906i 0.244696 + 0.0890621i
\(201\) −586.650 213.523i −0.205866 0.0749292i
\(202\) 450.162 + 2553.00i 0.156798 + 0.889248i
\(203\) 1742.88 + 1462.45i 0.602591 + 0.505634i
\(204\) −215.226 180.596i −0.0738667 0.0619816i
\(205\) 206.052 + 1168.58i 0.0702013 + 0.398132i
\(206\) 1709.56 + 622.229i 0.578208 + 0.210450i
\(207\) 277.172 + 100.882i 0.0930665 + 0.0338734i
\(208\) −61.1549 + 105.923i −0.0203862 + 0.0353099i
\(209\) 252.627 1432.72i 0.0836104 0.474178i
\(210\) −149.678 + 125.595i −0.0491846 + 0.0412708i
\(211\) −2932.22 5078.75i −0.956694 1.65704i −0.730444 0.682973i \(-0.760687\pi\)
−0.226250 0.974069i \(-0.572647\pi\)
\(212\) −594.125 + 1029.05i −0.192475 + 0.333376i
\(213\) 61.4275 + 348.373i 0.0197603 + 0.112066i
\(214\) 772.856 + 1338.63i 0.246876 + 0.427601i
\(215\) 950.986 346.131i 0.301659 0.109795i
\(216\) 463.666 0.146058
\(217\) 1886.55 686.647i 0.590171 0.214805i
\(218\) −197.863 + 1122.14i −0.0614723 + 0.348627i
\(219\) −271.949 228.193i −0.0839115 0.0704101i
\(220\) −278.274 + 233.500i −0.0852785 + 0.0715571i
\(221\) 489.099 0.148871
\(222\) 488.349 75.4770i 0.147639 0.0228184i
\(223\) −1738.22 −0.521973 −0.260987 0.965342i \(-0.584048\pi\)
−0.260987 + 0.965342i \(0.584048\pi\)
\(224\) −380.126 + 318.963i −0.113385 + 0.0951413i
\(225\) 1819.21 + 1526.50i 0.539026 + 0.452296i
\(226\) −388.762 + 2204.78i −0.114425 + 0.648937i
\(227\) 2306.17 839.376i 0.674298 0.245424i 0.0179005 0.999840i \(-0.494302\pi\)
0.656397 + 0.754415i \(0.272080\pi\)
\(228\) −403.702 −0.117262
\(229\) 1498.03 545.239i 0.432283 0.157338i −0.116708 0.993166i \(-0.537234\pi\)
0.548991 + 0.835828i \(0.315012\pi\)
\(230\) 65.6231 + 113.663i 0.0188133 + 0.0325856i
\(231\) 46.7790 + 265.297i 0.0133240 + 0.0755639i
\(232\) 586.880 1016.51i 0.166080 0.287659i
\(233\) 355.476 + 615.702i 0.0999484 + 0.173116i 0.911663 0.410938i \(-0.134799\pi\)
−0.811715 + 0.584054i \(0.801466\pi\)
\(234\) −302.105 + 253.496i −0.0843983 + 0.0708186i
\(235\) −33.7291 + 191.287i −0.00936275 + 0.0530988i
\(236\) −89.9655 + 155.825i −0.0248146 + 0.0429802i
\(237\) −842.644 306.697i −0.230952 0.0840596i
\(238\) 1864.64 + 678.674i 0.507843 + 0.184840i
\(239\) 1235.46 + 7006.66i 0.334374 + 1.89633i 0.433323 + 0.901239i \(0.357341\pi\)
−0.0989490 + 0.995093i \(0.531548\pi\)
\(240\) 77.2190 + 64.7945i 0.0207686 + 0.0174269i
\(241\) −5145.63 4317.70i −1.37535 1.15406i −0.970897 0.239496i \(-0.923018\pi\)
−0.404452 0.914559i \(-0.632538\pi\)
\(242\) −375.282 2128.33i −0.0996861 0.565348i
\(243\) 2123.33 + 772.829i 0.560542 + 0.204021i
\(244\) −2882.70 1049.22i −0.756335 0.275284i
\(245\) −294.225 + 509.613i −0.0767239 + 0.132890i
\(246\) 78.8323 447.080i 0.0204316 0.115873i
\(247\) 538.358 451.736i 0.138684 0.116370i
\(248\) −517.867 896.972i −0.132599 0.229668i
\(249\) −133.751 + 231.664i −0.0340407 + 0.0589602i
\(250\) 432.630 + 2453.57i 0.109448 + 0.620709i
\(251\) −2790.74 4833.70i −0.701792 1.21554i −0.967837 0.251578i \(-0.919050\pi\)
0.266045 0.963960i \(-0.414283\pi\)
\(252\) −1503.49 + 547.227i −0.375838 + 0.136794i
\(253\) 180.952 0.0449659
\(254\) 4762.01 1733.23i 1.17636 0.428160i
\(255\) 69.9965 396.970i 0.0171896 0.0974872i
\(256\) 196.107 + 164.554i 0.0478778 + 0.0401742i
\(257\) 1487.44 1248.11i 0.361026 0.302937i −0.444173 0.895941i \(-0.646503\pi\)
0.805200 + 0.593004i \(0.202058\pi\)
\(258\) −387.183 −0.0934301
\(259\) −3058.73 + 1680.57i −0.733823 + 0.403187i
\(260\) −175.480 −0.0418569
\(261\) 2899.19 2432.71i 0.687568 0.576938i
\(262\) −3620.07 3037.60i −0.853621 0.716273i
\(263\) −1078.95 + 6119.02i −0.252969 + 1.43466i 0.548264 + 0.836305i \(0.315289\pi\)
−0.801233 + 0.598353i \(0.795822\pi\)
\(264\) 130.597 47.5334i 0.0304458 0.0110814i
\(265\) −1704.80 −0.395189
\(266\) 2679.26 975.173i 0.617580 0.224781i
\(267\) 305.370 + 528.917i 0.0699938 + 0.121233i
\(268\) −395.002 2240.17i −0.0900320 0.510597i
\(269\) 2695.07 4667.99i 0.610859 1.05804i −0.380236 0.924889i \(-0.624157\pi\)
0.991096 0.133150i \(-0.0425093\pi\)
\(270\) 332.615 + 576.106i 0.0749715 + 0.129854i
\(271\) −5486.60 + 4603.81i −1.22984 + 1.03196i −0.231594 + 0.972813i \(0.574394\pi\)
−0.998249 + 0.0591482i \(0.981162\pi\)
\(272\) 177.765 1008.16i 0.0396272 0.224737i
\(273\) −65.0667 + 112.699i −0.0144250 + 0.0249848i
\(274\) −2590.31 942.797i −0.571119 0.207870i
\(275\) 1369.04 + 498.289i 0.300204 + 0.109265i
\(276\) −8.71937 49.4500i −0.00190161 0.0107846i
\(277\) −2909.79 2441.60i −0.631164 0.529609i 0.270126 0.962825i \(-0.412934\pi\)
−0.901290 + 0.433215i \(0.857379\pi\)
\(278\) −295.107 247.624i −0.0636668 0.0534228i
\(279\) −579.911 3288.84i −0.124438 0.705726i
\(280\) −668.999 243.496i −0.142787 0.0519702i
\(281\) 4738.22 + 1724.57i 1.00590 + 0.366118i 0.791858 0.610705i \(-0.209114\pi\)
0.214044 + 0.976824i \(0.431336\pi\)
\(282\) 37.1563 64.3567i 0.00784620 0.0135900i
\(283\) 1150.81 6526.54i 0.241725 1.37089i −0.586251 0.810130i \(-0.699397\pi\)
0.827976 0.560763i \(-0.189492\pi\)
\(284\) −987.376 + 828.506i −0.206303 + 0.173109i
\(285\) −289.599 501.600i −0.0601907 0.104253i
\(286\) −120.969 + 209.525i −0.0250107 + 0.0433198i
\(287\) 556.767 + 3157.58i 0.114512 + 0.649429i
\(288\) 412.717 + 714.847i 0.0844431 + 0.146260i
\(289\) 769.926 280.230i 0.156712 0.0570385i
\(290\) 1684.01 0.340996
\(291\) 579.234 210.824i 0.116685 0.0424698i
\(292\) 224.616 1273.86i 0.0450159 0.255298i
\(293\) 6202.79 + 5204.76i 1.23676 + 1.03777i 0.997770 + 0.0667431i \(0.0212608\pi\)
0.238990 + 0.971022i \(0.423184\pi\)
\(294\) 172.461 144.712i 0.0342114 0.0287068i
\(295\) −258.150 −0.0509494
\(296\) 1127.85 + 1403.47i 0.221470 + 0.275592i
\(297\) 917.168 0.179190
\(298\) −1068.39 + 896.484i −0.207685 + 0.174268i
\(299\) 66.9616 + 56.1874i 0.0129515 + 0.0108676i
\(300\) 70.2022 398.137i 0.0135104 0.0766214i
\(301\) 2569.64 935.271i 0.492064 0.179097i
\(302\) −933.871 −0.177941
\(303\) 1337.15 486.681i 0.253521 0.0922743i
\(304\) −735.472 1273.88i −0.138757 0.240335i
\(305\) −764.275 4334.42i −0.143483 0.813732i
\(306\) 1650.40 2858.57i 0.308323 0.534032i
\(307\) −3798.62 6579.40i −0.706184 1.22315i −0.966262 0.257559i \(-0.917082\pi\)
0.260078 0.965588i \(-0.416252\pi\)
\(308\) −751.918 + 630.935i −0.139106 + 0.116723i
\(309\) 173.406 983.432i 0.0319246 0.181053i
\(310\) 742.992 1286.90i 0.136126 0.235777i
\(311\) −335.483 122.106i −0.0611688 0.0222636i 0.311255 0.950327i \(-0.399251\pi\)
−0.372423 + 0.928063i \(0.621473\pi\)
\(312\) 63.0872 + 22.9619i 0.0114475 + 0.00416654i
\(313\) 1015.26 + 5757.83i 0.183341 + 1.03978i 0.928068 + 0.372411i \(0.121469\pi\)
−0.744726 + 0.667370i \(0.767420\pi\)
\(314\) −4301.41 3609.31i −0.773065 0.648679i
\(315\) −1758.48 1475.54i −0.314536 0.263927i
\(316\) −567.367 3217.70i −0.101003 0.572816i
\(317\) 3930.91 + 1430.73i 0.696472 + 0.253495i 0.665904 0.746038i \(-0.268046\pi\)
0.0305682 + 0.999533i \(0.490268\pi\)
\(318\) 612.897 + 223.076i 0.108080 + 0.0393380i
\(319\) 1160.89 2010.73i 0.203754 0.352913i
\(320\) −63.7788 + 361.708i −0.0111417 + 0.0631877i
\(321\) 649.946 545.369i 0.113011 0.0948272i
\(322\) 177.318 + 307.125i 0.0306881 + 0.0531534i
\(323\) −2941.05 + 5094.05i −0.506639 + 0.877524i
\(324\) 439.562 + 2492.88i 0.0753707 + 0.427448i
\(325\) 351.891 + 609.492i 0.0600596 + 0.104026i
\(326\) 1336.55 486.465i 0.227070 0.0826466i
\(327\) 625.443 0.105771
\(328\) 1554.37 565.746i 0.261664 0.0952381i
\(329\) −91.1386 + 516.873i −0.0152724 + 0.0866143i
\(330\) 152.745 + 128.168i 0.0254798 + 0.0213801i
\(331\) −2783.50 + 2335.64i −0.462221 + 0.387849i −0.843947 0.536426i \(-0.819774\pi\)
0.381727 + 0.924275i \(0.375330\pi\)
\(332\) −974.682 −0.161122
\(333\) 1869.54 + 5496.18i 0.307658 + 0.904471i
\(334\) −3206.80 −0.525354
\(335\) 2500.05 2097.79i 0.407739 0.342133i
\(336\) 208.652 + 175.079i 0.0338776 + 0.0284267i
\(337\) −1618.08 + 9176.60i −0.261551 + 1.48333i 0.517130 + 0.855907i \(0.327000\pi\)
−0.778681 + 0.627420i \(0.784111\pi\)
\(338\) 4019.19 1462.86i 0.646790 0.235412i
\(339\) 1228.88 0.196883
\(340\) 1380.16 502.335i 0.220145 0.0801264i
\(341\) −1024.38 1774.28i −0.162678 0.281767i
\(342\) −823.587 4670.79i −0.130218 0.738501i
\(343\) −3454.44 + 5983.27i −0.543797 + 0.941884i
\(344\) −705.378 1221.75i −0.110557 0.191490i
\(345\) 55.1868 46.3072i 0.00861204 0.00722636i
\(346\) 177.959 1009.25i 0.0276506 0.156815i
\(347\) −1510.02 + 2615.43i −0.233608 + 0.404622i −0.958867 0.283855i \(-0.908387\pi\)
0.725259 + 0.688476i \(0.241720\pi\)
\(348\) −605.424 220.356i −0.0932590 0.0339435i
\(349\) −2051.08 746.533i −0.314590 0.114501i 0.179900 0.983685i \(-0.442423\pi\)
−0.494489 + 0.869184i \(0.664645\pi\)
\(350\) 495.816 + 2811.91i 0.0757213 + 0.429437i
\(351\) 339.399 + 284.790i 0.0516119 + 0.0433075i
\(352\) 387.916 + 325.500i 0.0587386 + 0.0492875i
\(353\) −520.338 2950.98i −0.0784555 0.444943i −0.998578 0.0533123i \(-0.983022\pi\)
0.920122 0.391631i \(-0.128089\pi\)
\(354\) 92.8081 + 33.7794i 0.0139342 + 0.00507162i
\(355\) −1737.72 632.479i −0.259799 0.0945592i
\(356\) −1112.66 + 1927.18i −0.165648 + 0.286911i
\(357\) 189.136 1072.64i 0.0280396 0.159020i
\(358\) −5926.67 + 4973.07i −0.874956 + 0.734176i
\(359\) 1533.42 + 2655.96i 0.225434 + 0.390462i 0.956449 0.291898i \(-0.0942868\pi\)
−0.731016 + 0.682360i \(0.760953\pi\)
\(360\) −592.132 + 1025.60i −0.0866892 + 0.150150i
\(361\) 276.599 + 1568.67i 0.0403264 + 0.228702i
\(362\) −477.641 827.299i −0.0693488 0.120116i
\(363\) −1114.72 + 405.727i −0.161179 + 0.0586642i
\(364\) −474.160 −0.0682767
\(365\) 1743.90 634.728i 0.250082 0.0910224i
\(366\) −292.400 + 1658.28i −0.0417596 + 0.236830i
\(367\) 4633.48 + 3887.95i 0.659035 + 0.552996i 0.909797 0.415053i \(-0.136237\pi\)
−0.250763 + 0.968049i \(0.580681\pi\)
\(368\) 140.154 117.603i 0.0198533 0.0166589i
\(369\) 5333.50 0.752442
\(370\) −934.745 + 2408.15i −0.131338 + 0.338362i
\(371\) −4606.50 −0.644630
\(372\) −435.508 + 365.435i −0.0606990 + 0.0509325i
\(373\) 4410.02 + 3700.45i 0.612177 + 0.513678i 0.895334 0.445396i \(-0.146937\pi\)
−0.283156 + 0.959074i \(0.591382\pi\)
\(374\) 351.633 1994.21i 0.0486163 0.275717i
\(375\) 1285.07 467.727i 0.176962 0.0644089i
\(376\) 270.769 0.0371379
\(377\) 1053.94 383.603i 0.143981 0.0524047i
\(378\) 898.750 + 1556.68i 0.122293 + 0.211818i
\(379\) −525.167 2978.37i −0.0711768 0.403664i −0.999492 0.0318697i \(-0.989854\pi\)
0.928315 0.371794i \(-0.121257\pi\)
\(380\) 1055.19 1827.65i 0.142448 0.246728i
\(381\) −1390.81 2408.96i −0.187017 0.323923i
\(382\) −4464.92 + 3746.51i −0.598024 + 0.501802i
\(383\) −2545.08 + 14433.9i −0.339550 + 1.92568i 0.0370695 + 0.999313i \(0.488198\pi\)
−0.376619 + 0.926368i \(0.622913\pi\)
\(384\) 70.2594 121.693i 0.00933700 0.0161722i
\(385\) −1323.33 481.653i −0.175177 0.0637593i
\(386\) 2195.44 + 799.076i 0.289495 + 0.105368i
\(387\) −789.887 4479.67i −0.103753 0.588410i
\(388\) 1720.51 + 1443.68i 0.225118 + 0.188897i
\(389\) −10668.1 8951.57i −1.39047 1.16674i −0.965150 0.261699i \(-0.915717\pi\)
−0.425320 0.905043i \(-0.639838\pi\)
\(390\) 16.7260 + 94.8578i 0.00217167 + 0.0123162i
\(391\) −687.499 250.229i −0.0889216 0.0323648i
\(392\) 770.831 + 280.560i 0.0993185 + 0.0361490i
\(393\) −1296.96 + 2246.41i −0.166471 + 0.288336i
\(394\) −291.193 + 1651.44i −0.0372338 + 0.211163i
\(395\) 3590.99 3013.20i 0.457424 0.383824i
\(396\) 816.387 + 1414.02i 0.103598 + 0.179438i
\(397\) −3112.39 + 5390.82i −0.393467 + 0.681505i −0.992904 0.118917i \(-0.962058\pi\)
0.599437 + 0.800422i \(0.295391\pi\)
\(398\) 846.776 + 4802.31i 0.106646 + 0.604819i
\(399\) −782.518 1355.36i −0.0981826 0.170057i
\(400\) 1384.21 503.812i 0.173026 0.0629764i
\(401\) −14135.4 −1.76033 −0.880163 0.474672i \(-0.842567\pi\)
−0.880163 + 0.474672i \(0.842567\pi\)
\(402\) −1173.30 + 427.046i −0.145569 + 0.0529829i
\(403\) 171.858 974.654i 0.0212428 0.120474i
\(404\) 3971.76 + 3332.70i 0.489115 + 0.410416i
\(405\) −2782.08 + 2334.44i −0.341340 + 0.286418i
\(406\) 4550.33 0.556230
\(407\) 2230.98 + 2776.18i 0.271709 + 0.338109i
\(408\) −561.914 −0.0681836
\(409\) 10503.0 8813.04i 1.26978 1.06547i 0.275209 0.961385i \(-0.411253\pi\)
0.994568 0.104085i \(-0.0331914\pi\)
\(410\) 1817.98 + 1525.47i 0.218985 + 0.183750i
\(411\) −262.743 + 1490.09i −0.0315332 + 0.178834i
\(412\) 3419.12 1244.46i 0.408855 0.148811i
\(413\) −697.541 −0.0831083
\(414\) 554.344 201.765i 0.0658080 0.0239521i
\(415\) −699.196 1211.04i −0.0827041 0.143248i
\(416\) 42.4777 + 240.903i 0.00500635 + 0.0283924i
\(417\) −105.728 + 183.126i −0.0124161 + 0.0215054i
\(418\) −1454.82 2519.82i −0.170234 0.294853i
\(419\) 4090.01 3431.93i 0.476874 0.400145i −0.372421 0.928064i \(-0.621472\pi\)
0.849295 + 0.527919i \(0.177028\pi\)
\(420\) −67.8585 + 384.845i −0.00788370 + 0.0447107i
\(421\) −2764.47 + 4788.19i −0.320028 + 0.554305i −0.980493 0.196552i \(-0.937026\pi\)
0.660465 + 0.750856i \(0.270359\pi\)
\(422\) −11021.5 4011.51i −1.27138 0.462743i
\(423\) 820.403 + 298.602i 0.0943011 + 0.0343228i
\(424\) 412.675 + 2340.39i 0.0472671 + 0.268065i
\(425\) −4512.39 3786.34i −0.515019 0.432152i
\(426\) 541.972 + 454.768i 0.0616399 + 0.0517221i
\(427\) −2065.13 11711.9i −0.234048 1.32735i
\(428\) 2904.99 + 1057.33i 0.328079 + 0.119411i
\(429\) 124.791 + 45.4203i 0.0140442 + 0.00511169i
\(430\) 1012.02 1752.87i 0.113497 0.196583i
\(431\) 2831.61 16058.8i 0.316459 1.79473i −0.247462 0.968898i \(-0.579596\pi\)
0.563920 0.825829i \(-0.309292\pi\)
\(432\) 710.378 596.078i 0.0791159 0.0663861i
\(433\) −7697.48 13332.4i −0.854312 1.47971i −0.877282 0.479976i \(-0.840645\pi\)
0.0229696 0.999736i \(-0.492688\pi\)
\(434\) 2007.62 3477.30i 0.222048 0.384599i
\(435\) −160.513 910.314i −0.0176920 0.100336i
\(436\) 1139.45 + 1973.58i 0.125160 + 0.216783i
\(437\) −987.854 + 359.549i −0.108136 + 0.0393583i
\(438\) −710.009 −0.0774556
\(439\) 13961.2 5081.44i 1.51784 0.552447i 0.557229 0.830359i \(-0.311865\pi\)
0.960606 + 0.277912i \(0.0896425\pi\)
\(440\) −126.159 + 715.486i −0.0136691 + 0.0775214i
\(441\) 2026.14 + 1700.14i 0.218782 + 0.183580i
\(442\) 749.344 628.774i 0.0806395 0.0676646i
\(443\) 16177.2 1.73499 0.867497 0.497443i \(-0.165728\pi\)
0.867497 + 0.497443i \(0.165728\pi\)
\(444\) 651.163 743.447i 0.0696010 0.0794650i
\(445\) −3192.70 −0.340109
\(446\) −2663.11 + 2234.62i −0.282740 + 0.237247i
\(447\) 586.439 + 492.081i 0.0620529 + 0.0520685i
\(448\) −172.335 + 977.361i −0.0181743 + 0.103071i
\(449\) 5581.20 2031.39i 0.586622 0.213513i −0.0316211 0.999500i \(-0.510067\pi\)
0.618243 + 0.785987i \(0.287845\pi\)
\(450\) 4749.62 0.497554
\(451\) 3074.67 1119.09i 0.321021 0.116842i
\(452\) 2238.79 + 3877.70i 0.232973 + 0.403522i
\(453\) 89.0125 + 504.815i 0.00923217 + 0.0523582i
\(454\) 2454.17 4250.75i 0.253700 0.439422i
\(455\) −340.142 589.144i −0.0350464 0.0607022i
\(456\) −618.507 + 518.989i −0.0635181 + 0.0532980i
\(457\) −1566.88 + 8886.21i −0.160384 + 0.909583i 0.793313 + 0.608814i \(0.208354\pi\)
−0.953697 + 0.300769i \(0.902757\pi\)
\(458\) 1594.17 2761.19i 0.162644 0.281707i
\(459\) −3484.64 1268.30i −0.354355 0.128975i
\(460\) 246.662 + 89.7777i 0.0250015 + 0.00909979i
\(461\) −2689.91 15255.2i −0.271760 1.54123i −0.749069 0.662492i \(-0.769499\pi\)
0.477309 0.878736i \(-0.341612\pi\)
\(462\) 412.729 + 346.321i 0.0415625 + 0.0348751i
\(463\) 178.326 + 149.634i 0.0178996 + 0.0150196i 0.651694 0.758482i \(-0.274059\pi\)
−0.633794 + 0.773502i \(0.718503\pi\)
\(464\) −407.643 2311.86i −0.0407852 0.231304i
\(465\) −766.468 278.972i −0.0764390 0.0278215i
\(466\) 1336.15 + 486.319i 0.132824 + 0.0483440i
\(467\) 5855.60 10142.2i 0.580225 1.00498i −0.415228 0.909717i \(-0.636298\pi\)
0.995452 0.0952609i \(-0.0303685\pi\)
\(468\) −136.963 + 776.757i −0.0135281 + 0.0767214i
\(469\) 6755.33 5668.39i 0.665100 0.558085i
\(470\) 194.238 + 336.431i 0.0190629 + 0.0330178i
\(471\) −1541.07 + 2669.20i −0.150761 + 0.261126i
\(472\) 62.4894 + 354.395i 0.00609387 + 0.0345601i
\(473\) −1395.29 2416.72i −0.135636 0.234928i
\(474\) −1685.29 + 613.395i −0.163308 + 0.0594391i
\(475\) −8463.95 −0.817584
\(476\) 3729.28 1357.35i 0.359100 0.130702i
\(477\) −1330.61 + 7546.26i −0.127724 + 0.724359i
\(478\) 10900.4 + 9146.54i 1.04304 + 0.875216i
\(479\) −5604.89 + 4703.06i −0.534643 + 0.448619i −0.869701 0.493579i \(-0.835689\pi\)
0.335058 + 0.942198i \(0.391244\pi\)
\(480\) 201.605 0.0191707
\(481\) −36.4554 + 1720.07i −0.00345576 + 0.163053i
\(482\) −13434.3 −1.26953
\(483\) 149.119 125.125i 0.0140479 0.0117876i
\(484\) −3311.09 2778.34i −0.310959 0.260926i
\(485\) −559.552 + 3173.38i −0.0523875 + 0.297104i
\(486\) 4246.66 1545.66i 0.396363 0.144264i
\(487\) 1225.81 0.114059 0.0570297 0.998372i \(-0.481837\pi\)
0.0570297 + 0.998372i \(0.481837\pi\)
\(488\) −5765.40 + 2098.43i −0.534810 + 0.194655i
\(489\) −390.359 676.121i −0.0360994 0.0625261i
\(490\) 204.367 + 1159.02i 0.0188415 + 0.106856i
\(491\) −2992.49 + 5183.14i −0.275049 + 0.476399i −0.970148 0.242515i \(-0.922027\pi\)
0.695098 + 0.718915i \(0.255361\pi\)
\(492\) −453.977 786.311i −0.0415993 0.0720521i
\(493\) −7191.17 + 6034.11i −0.656945 + 0.551243i
\(494\) 244.072 1384.20i 0.0222294 0.126069i
\(495\) −1171.28 + 2028.72i −0.106354 + 0.184211i
\(496\) −1946.54 708.484i −0.176214 0.0641368i
\(497\) −4695.46 1709.01i −0.423783 0.154244i
\(498\) 92.9025 + 526.876i 0.00835956 + 0.0474094i
\(499\) −1884.39 1581.19i −0.169052 0.141852i 0.554337 0.832293i \(-0.312972\pi\)
−0.723389 + 0.690441i \(0.757416\pi\)
\(500\) 3817.08 + 3202.91i 0.341410 + 0.286477i
\(501\) 305.658 + 1733.47i 0.0272571 + 0.154583i
\(502\) −10489.7 3817.95i −0.932629 0.339449i
\(503\) −380.154 138.365i −0.0336983 0.0122652i 0.325116 0.945674i \(-0.394597\pi\)
−0.358814 + 0.933409i \(0.616819\pi\)
\(504\) −1599.99 + 2771.26i −0.141407 + 0.244924i
\(505\) −1291.71 + 7325.65i −0.113822 + 0.645519i
\(506\) 277.235 232.628i 0.0243569 0.0204379i
\(507\) −1173.86 2033.19i −0.102826 0.178100i
\(508\) 5067.63 8777.39i 0.442598 0.766602i
\(509\) 3317.77 + 18816.0i 0.288914 + 1.63852i 0.690958 + 0.722895i \(0.257189\pi\)
−0.402044 + 0.915620i \(0.631700\pi\)
\(510\) −403.094 698.179i −0.0349986 0.0606194i
\(511\) 4712.15 1715.08i 0.407932 0.148475i
\(512\) 512.000 0.0441942
\(513\) −5007.00 + 1822.40i −0.430925 + 0.156844i
\(514\) 674.349 3824.42i 0.0578682 0.328187i
\(515\) 3998.98 + 3355.54i 0.342167 + 0.287112i
\(516\) −593.199 + 497.753i −0.0506088 + 0.0424658i
\(517\) 535.602 0.0455624
\(518\) −2525.75 + 6507.01i −0.214238 + 0.551933i
\(519\) −562.527 −0.0475765
\(520\) −268.851 + 225.593i −0.0226729 + 0.0190248i
\(521\) −11690.6 9809.62i −0.983064 0.824889i 0.00148452 0.999999i \(-0.499527\pi\)
−0.984549 + 0.175110i \(0.943972\pi\)
\(522\) 1314.38 7454.25i 0.110209 0.625026i
\(523\) 11770.0 4283.94i 0.984067 0.358171i 0.200647 0.979664i \(-0.435696\pi\)
0.783420 + 0.621492i \(0.213473\pi\)
\(524\) −9451.34 −0.787946
\(525\) 1472.75 536.038i 0.122431 0.0445612i
\(526\) 6213.42 + 10762.0i 0.515053 + 0.892098i
\(527\) 1438.42 + 8157.66i 0.118896 + 0.674295i
\(528\) 138.978 240.718i 0.0114550 0.0198407i
\(529\) 6018.12 + 10423.7i 0.494627 + 0.856718i
\(530\) −2611.91 + 2191.65i −0.214064 + 0.179621i
\(531\) −201.488 + 1142.69i −0.0164667 + 0.0933874i
\(532\) 2851.21 4938.45i 0.232361 0.402460i
\(533\) 1485.27 + 540.596i 0.120702 + 0.0439321i
\(534\) 1147.82 + 417.771i 0.0930166 + 0.0338553i
\(535\) 770.185 + 4367.94i 0.0622393 + 0.352976i
\(536\) −3485.08 2924.33i −0.280844 0.235656i
\(537\) 3253.16 + 2729.72i 0.261423 + 0.219360i
\(538\) −1871.97 10616.5i −0.150012 0.850761i
\(539\) 1524.76 + 554.969i 0.121848 + 0.0443492i
\(540\) 1250.22 + 455.044i 0.0996316 + 0.0362629i
\(541\) −5185.11 + 8980.87i −0.412061 + 0.713711i −0.995115 0.0987224i \(-0.968524\pi\)
0.583054 + 0.812434i \(0.301858\pi\)
\(542\) −2487.42 + 14106.9i −0.197129 + 1.11798i
\(543\) −401.680 + 337.049i −0.0317453 + 0.0266375i
\(544\) −1023.71 1773.11i −0.0806822 0.139746i
\(545\) −1634.78 + 2831.53i −0.128489 + 0.222549i
\(546\) 45.1949 + 256.313i 0.00354242 + 0.0200901i
\(547\) 7253.34 + 12563.2i 0.566966 + 0.982014i 0.996864 + 0.0791366i \(0.0252163\pi\)
−0.429898 + 0.902878i \(0.641450\pi\)
\(548\) −5180.63 + 1885.59i −0.403842 + 0.146987i
\(549\) −19782.7 −1.53790
\(550\) 2738.08 996.578i 0.212276 0.0772623i
\(551\) −2342.27 + 13283.6i −0.181096 + 1.02705i
\(552\) −76.9305 64.5524i −0.00593185 0.00497741i
\(553\) 9703.12 8141.89i 0.746146 0.626091i
\(554\) −7596.93 −0.582604
\(555\) 1390.85 + 275.753i 0.106375 + 0.0210902i
\(556\) −770.471 −0.0587684
\(557\) 14331.5 12025.6i 1.09021 0.914793i 0.0934793 0.995621i \(-0.470201\pi\)
0.996728 + 0.0808287i \(0.0257567\pi\)
\(558\) −5116.52 4293.27i −0.388171 0.325714i
\(559\) 234.085 1327.56i 0.0177115 0.100447i
\(560\) −1338.00 + 486.991i −0.100966 + 0.0367485i
\(561\) −1111.51 −0.0836506
\(562\) 9476.44 3449.14i 0.711280 0.258885i
\(563\) 37.2554 + 64.5282i 0.00278886 + 0.00483044i 0.867416 0.497583i \(-0.165779\pi\)
−0.864628 + 0.502413i \(0.832446\pi\)
\(564\) −25.8085 146.367i −0.00192683 0.0109276i
\(565\) −3212.03 + 5563.41i −0.239170 + 0.414255i
\(566\) −6627.23 11478.7i −0.492161 0.852448i
\(567\) −7517.39 + 6307.84i −0.556791 + 0.467203i
\(568\) −447.640 + 2538.69i −0.0330679 + 0.187537i
\(569\) −2205.88 + 3820.70i −0.162523 + 0.281498i −0.935773 0.352604i \(-0.885296\pi\)
0.773250 + 0.634101i \(0.218630\pi\)
\(570\) −1088.54 396.194i −0.0799890 0.0291136i
\(571\) −9489.98 3454.07i −0.695522 0.253149i −0.0300244 0.999549i \(-0.509558\pi\)
−0.665498 + 0.746400i \(0.731781\pi\)
\(572\) 84.0242 + 476.525i 0.00614201 + 0.0348331i
\(573\) 2450.80 + 2056.47i 0.178680 + 0.149930i
\(574\) 4912.33 + 4121.93i 0.357207 + 0.299732i
\(575\) −182.809 1036.76i −0.0132585 0.0751929i
\(576\) 1551.31 + 564.630i 0.112219 + 0.0408442i
\(577\) 10266.1 + 3736.57i 0.740702 + 0.269594i 0.684688 0.728836i \(-0.259938\pi\)
0.0560144 + 0.998430i \(0.482161\pi\)
\(578\) 819.338 1419.13i 0.0589619 0.102125i
\(579\) 222.690 1262.94i 0.0159839 0.0906492i
\(580\) 2580.06 2164.93i 0.184709 0.154989i
\(581\) −1889.28 3272.33i −0.134906 0.233665i
\(582\) 616.408 1067.65i 0.0439019 0.0760404i
\(583\) 816.302 + 4629.48i 0.0579894 + 0.328874i
\(584\) −1293.51 2240.42i −0.0916538 0.158749i
\(585\) −1063.37 + 387.036i −0.0751540 + 0.0273538i
\(586\) 16194.3 1.14161
\(587\) 12571.1 4575.52i 0.883930 0.321724i 0.140135 0.990132i \(-0.455246\pi\)
0.743795 + 0.668408i \(0.233024\pi\)
\(588\) 78.1876 443.424i 0.00548368 0.0310995i
\(589\) 9117.77 + 7650.71i 0.637845 + 0.535216i
\(590\) −395.509 + 331.871i −0.0275980 + 0.0231575i
\(591\) 920.461 0.0640655
\(592\) 3532.24 + 700.310i 0.245227 + 0.0486192i
\(593\) −12845.8 −0.889569 −0.444784 0.895638i \(-0.646720\pi\)
−0.444784 + 0.895638i \(0.646720\pi\)
\(594\) 1405.18 1179.09i 0.0970629 0.0814454i
\(595\) 4361.74 + 3659.93i 0.300527 + 0.252172i
\(596\) −484.368 + 2746.99i −0.0332894 + 0.188794i
\(597\) 2515.23 915.471i 0.172432 0.0627600i
\(598\) 174.824 0.0119550
\(599\) 11294.4 4110.83i 0.770413 0.280407i 0.0732440 0.997314i \(-0.476665\pi\)
0.697169 + 0.716907i \(0.254443\pi\)
\(600\) −404.279 700.231i −0.0275077 0.0476447i
\(601\) 1176.59 + 6672.79i 0.0798573 + 0.452893i 0.998348 + 0.0574512i \(0.0182974\pi\)
−0.918491 + 0.395442i \(0.870592\pi\)
\(602\) 2734.55 4736.38i 0.185136 0.320665i
\(603\) −7334.52 12703.8i −0.495331 0.857939i
\(604\) −1430.77 + 1200.56i −0.0963863 + 0.0808777i
\(605\) 1076.85 6107.10i 0.0723637 0.410395i
\(606\) 1422.96 2464.64i 0.0953859 0.165213i
\(607\) 10561.6 + 3844.10i 0.706229 + 0.257046i 0.670068 0.742300i \(-0.266265\pi\)
0.0361607 + 0.999346i \(0.488487\pi\)
\(608\) −2764.47 1006.19i −0.184398 0.0671155i
\(609\) −433.718 2459.74i −0.0288590 0.163668i
\(610\) −6743.16 5658.18i −0.447578 0.375563i
\(611\) 198.200 + 166.310i 0.0131233 + 0.0110117i
\(612\) −1146.35 6501.30i −0.0757167 0.429411i
\(613\) −17213.6 6265.23i −1.13418 0.412806i −0.294369 0.955692i \(-0.595109\pi\)
−0.839807 + 0.542886i \(0.817332\pi\)
\(614\) −14278.1 5196.81i −0.938466 0.341574i
\(615\) 651.329 1128.13i 0.0427059 0.0739687i
\(616\) −340.892 + 1933.30i −0.0222970 + 0.126452i
\(617\) 9258.05 7768.42i 0.604076 0.506880i −0.288677 0.957427i \(-0.593215\pi\)
0.892753 + 0.450547i \(0.148771\pi\)
\(618\) −998.603 1729.63i −0.0649995 0.112583i
\(619\) −11214.0 + 19423.2i −0.728155 + 1.26120i 0.229507 + 0.973307i \(0.426289\pi\)
−0.957662 + 0.287895i \(0.907045\pi\)
\(620\) −516.077 2926.82i −0.0334293 0.189587i
\(621\) −331.372 573.954i −0.0214131 0.0370885i
\(622\) −670.966 + 244.212i −0.0432529 + 0.0157428i
\(623\) −8626.92 −0.554784
\(624\) 126.174 45.9237i 0.00809458 0.00294619i
\(625\) 756.970 4292.99i 0.0484461 0.274751i
\(626\) 8957.59 + 7516.31i 0.571912 + 0.479891i
\(627\) −1223.45 + 1026.60i −0.0779267 + 0.0653883i
\(628\) −11230.2 −0.713588
\(629\) −4637.22 13632.8i −0.293955 0.864188i
\(630\) −4591.05 −0.290336
\(631\) 18342.6 15391.3i 1.15722 0.971024i 0.157358 0.987542i \(-0.449702\pi\)
0.999864 + 0.0165175i \(0.00525791\pi\)
\(632\) −5005.85 4200.41i −0.315067 0.264372i
\(633\) −1117.95 + 6340.19i −0.0701965 + 0.398104i
\(634\) 7861.81 2861.46i 0.492480 0.179248i
\(635\) 14541.2 0.908741
\(636\) 1225.79 446.153i 0.0764244 0.0278162i
\(637\) 391.918 + 678.821i 0.0243773 + 0.0422227i
\(638\) −806.349 4573.03i −0.0500371 0.283774i
\(639\) −4155.96 + 7198.33i −0.257288 + 0.445636i
\(640\) 367.287 + 636.161i 0.0226849 + 0.0392913i
\(641\) −13310.4 + 11168.8i −0.820173 + 0.688207i −0.953013 0.302930i \(-0.902035\pi\)
0.132839 + 0.991138i \(0.457591\pi\)
\(642\) 294.661 1671.11i 0.0181143 0.102731i
\(643\) 8221.16 14239.5i 0.504216 0.873328i −0.495772 0.868453i \(-0.665115\pi\)
0.999988 0.00487519i \(-0.00155183\pi\)
\(644\) 666.500 + 242.586i 0.0407822 + 0.0148435i
\(645\) −1043.99 379.983i −0.0637322 0.0231966i
\(646\) 2042.83 + 11585.5i 0.124418 + 0.705611i
\(647\) −1634.98 1371.91i −0.0993475 0.0833624i 0.591761 0.806113i \(-0.298433\pi\)
−0.691109 + 0.722751i \(0.742877\pi\)
\(648\) 3878.23 + 3254.22i 0.235110 + 0.197281i
\(649\) 123.609 + 701.021i 0.00747623 + 0.0423998i
\(650\) 1322.68 + 481.415i 0.0798148 + 0.0290502i
\(651\) −2071.06 753.802i −0.124687 0.0453822i
\(652\) 1422.33 2463.54i 0.0854335 0.147975i
\(653\) 2827.69 16036.6i 0.169458 0.961043i −0.774891 0.632095i \(-0.782195\pi\)
0.944348 0.328947i \(-0.106694\pi\)
\(654\) 958.235 804.054i 0.0572935 0.0480749i
\(655\) −6780.00 11743.3i −0.404452 0.700532i
\(656\) 1654.13 2865.04i 0.0984496 0.170520i
\(657\) −1448.48 8214.74i −0.0860131 0.487804i
\(658\) 524.846 + 909.061i 0.0310952 + 0.0538585i
\(659\) 3090.76 1124.94i 0.182699 0.0664971i −0.249051 0.968490i \(-0.580119\pi\)
0.431750 + 0.901993i \(0.357896\pi\)
\(660\) 398.789 0.0235195
\(661\) −1883.15 + 685.412i −0.110811 + 0.0403320i −0.396831 0.917892i \(-0.629890\pi\)
0.286020 + 0.958224i \(0.407668\pi\)
\(662\) −1261.94 + 7156.80i −0.0740885 + 0.420177i
\(663\) −411.316 345.135i −0.0240938 0.0202171i
\(664\) −1493.30 + 1253.03i −0.0872760 + 0.0732332i
\(665\) 8181.37 0.477083
\(666\) 9930.05 + 6017.20i 0.577750 + 0.350093i
\(667\) −1677.72 −0.0973938
\(668\) −4913.10 + 4122.58i −0.284571 + 0.238784i
\(669\) 1461.79 + 1226.58i 0.0844782 + 0.0708856i
\(670\) 1133.43 6428.01i 0.0653557 0.370650i
\(671\) −11404.4 + 4150.86i −0.656128 + 0.238811i
\(672\) 544.751 0.0312711
\(673\) 5857.79 2132.06i 0.335515 0.122117i −0.168769 0.985656i \(-0.553979\pi\)
0.504283 + 0.863538i \(0.331757\pi\)
\(674\) 9318.16 + 16139.5i 0.532525 + 0.922361i
\(675\) −926.579 5254.89i −0.0528356 0.299646i
\(676\) 4277.13 7408.20i 0.243350 0.421495i
\(677\) 7054.07 + 12218.0i 0.400458 + 0.693613i 0.993781 0.111351i \(-0.0355178\pi\)
−0.593323 + 0.804964i \(0.702184\pi\)
\(678\) 1882.75 1579.81i 0.106647 0.0894872i
\(679\) −1511.95 + 8574.70i −0.0854541 + 0.484635i
\(680\) 1468.73 2543.92i 0.0828283 0.143463i
\(681\) −2531.71 921.469i −0.142460 0.0518513i
\(682\) −3850.41 1401.44i −0.216188 0.0786858i
\(683\) −5716.65 32420.8i −0.320266 1.81632i −0.541044 0.840995i \(-0.681971\pi\)
0.220778 0.975324i \(-0.429140\pi\)
\(684\) −7266.46 6097.29i −0.406199 0.340841i
\(685\) −6059.22 5084.29i −0.337972 0.283592i
\(686\) 2399.43 + 13607.8i 0.133543 + 0.757362i
\(687\) −1644.54 598.565i −0.0913293 0.0332412i
\(688\) −2651.36 965.014i −0.146921 0.0534750i
\(689\) −1135.43 + 1966.61i −0.0627812 + 0.108740i
\(690\) 25.0196 141.893i 0.00138041 0.00782868i
\(691\) 12789.0 10731.3i 0.704078 0.590791i −0.218853 0.975758i \(-0.570232\pi\)
0.922930 + 0.384967i \(0.125787\pi\)
\(692\) −1024.82 1775.05i −0.0562976 0.0975103i
\(693\) −3164.90 + 5481.76i −0.173484 + 0.300483i
\(694\) 1048.85 + 5948.32i 0.0573685 + 0.325353i
\(695\) −552.704 957.311i −0.0301658 0.0522487i
\(696\) −1210.85 + 440.713i −0.0659441 + 0.0240017i
\(697\) −13229.3 −0.718930
\(698\) −4102.16 + 1493.07i −0.222449 + 0.0809647i
\(699\) 135.530 768.627i 0.00733362 0.0415910i
\(700\) 4374.56 + 3670.69i 0.236204 + 0.198199i
\(701\) 4861.93 4079.64i 0.261958 0.219809i −0.502343 0.864668i \(-0.667529\pi\)
0.764301 + 0.644860i \(0.223084\pi\)
\(702\) 886.108 0.0476410
\(703\) −17695.6 10722.8i −0.949362 0.575275i
\(704\) 1012.78 0.0542193
\(705\) 163.348 137.065i 0.00872628 0.00732222i
\(706\) −4590.91 3852.23i −0.244733 0.205355i
\(707\) −3490.30 + 19794.5i −0.185666 + 1.05297i
\(708\) 185.616 67.5588i 0.00985295 0.00358618i
\(709\) 7770.86 0.411623 0.205812 0.978592i \(-0.434017\pi\)
0.205812 + 0.978592i \(0.434017\pi\)
\(710\) −3475.44 + 1264.96i −0.183706 + 0.0668634i
\(711\) −10535.1 18247.2i −0.555690 0.962483i
\(712\) 772.845 + 4383.02i 0.0406792 + 0.230703i
\(713\) −740.216 + 1282.09i −0.0388798 + 0.0673418i
\(714\) −1089.19 1886.53i −0.0570895 0.0988820i
\(715\) −531.808 + 446.240i −0.0278160 + 0.0233404i
\(716\) −2686.94 + 15238.4i −0.140245 + 0.795370i
\(717\) 3905.29 6764.17i 0.203411 0.352319i
\(718\) 5763.76 + 2097.84i 0.299584 + 0.109040i
\(719\) 290.104 + 105.589i 0.0150474 + 0.00547679i 0.349533 0.936924i \(-0.386340\pi\)
−0.334485 + 0.942401i \(0.608563\pi\)
\(720\) 411.291 + 2332.55i 0.0212888 + 0.120735i
\(721\) 10805.5 + 9066.92i 0.558140 + 0.468335i
\(722\) 2440.42 + 2047.75i 0.125793 + 0.105553i
\(723\) 1280.50 + 7262.07i 0.0658676 + 0.373554i
\(724\) −1795.34 653.451i −0.0921594 0.0335433i
\(725\) −12693.2 4619.96i −0.650227 0.236663i
\(726\) −1186.26 + 2054.67i −0.0606425 + 0.105036i
\(727\) 1983.28 11247.7i 0.101177 0.573805i −0.891501 0.453018i \(-0.850347\pi\)
0.992679 0.120786i \(-0.0385416\pi\)
\(728\) −726.455 + 609.568i −0.0369838 + 0.0310331i
\(729\) 7302.96 + 12649.1i 0.371029 + 0.642640i
\(730\) 1855.82 3214.37i 0.0940917 0.162972i
\(731\) 1959.24 + 11111.4i 0.0991316 + 0.562203i
\(732\) 1683.87 + 2916.54i 0.0850239 + 0.147266i
\(733\) 19492.0 7094.51i 0.982201 0.357492i 0.199506 0.979897i \(-0.436066\pi\)
0.782696 + 0.622405i \(0.213844\pi\)
\(734\) 12097.2 0.608330
\(735\) 607.043 220.946i 0.0304641 0.0110880i
\(736\) 63.5405 360.356i 0.00318225 0.0180474i
\(737\) −6893.76 5784.55i −0.344552 0.289114i
\(738\) 8171.40 6856.62i 0.407579 0.341999i
\(739\) −20748.5 −1.03281 −0.516405 0.856345i \(-0.672730\pi\)
−0.516405 + 0.856345i \(0.672730\pi\)
\(740\) 1663.75 + 4891.19i 0.0826495 + 0.242978i
\(741\) −771.510 −0.0382485
\(742\) −7057.57 + 5922.00i −0.349180 + 0.292997i
\(743\) 27024.9 + 22676.6i 1.33438 + 1.11968i 0.983031 + 0.183439i \(0.0587229\pi\)
0.351354 + 0.936243i \(0.385722\pi\)
\(744\) −197.443 + 1119.76i −0.00972933 + 0.0551778i
\(745\) −3760.60 + 1368.75i −0.184936 + 0.0673114i
\(746\) 11513.7 0.565078
\(747\) −5906.38 + 2149.75i −0.289295 + 0.105295i
\(748\) −2024.97 3507.36i −0.0989844 0.171446i
\(749\) 2081.10 + 11802.5i 0.101524 + 0.575773i
\(750\) 1367.54 2368.65i 0.0665808 0.115321i
\(751\) 5709.48 + 9889.12i 0.277420 + 0.480505i 0.970743 0.240122i \(-0.0771875\pi\)
−0.693323 + 0.720627i \(0.743854\pi\)
\(752\) 414.842 348.094i 0.0201167 0.0168799i
\(753\) −1064.00 + 6034.27i −0.0514933 + 0.292033i
\(754\) 1121.58 1942.64i 0.0541719 0.0938284i
\(755\) −2518.08 916.504i −0.121380 0.0441788i
\(756\) 3378.20 + 1229.56i 0.162518 + 0.0591518i
\(757\) −811.842 4604.19i −0.0389788 0.221059i 0.959096 0.283081i \(-0.0913564\pi\)
−0.998075 + 0.0620213i \(0.980245\pi\)
\(758\) −4633.52 3887.99i −0.222028 0.186303i
\(759\) −152.175 127.690i −0.00727745 0.00610651i
\(760\) −732.930 4156.65i −0.0349818 0.198392i
\(761\) 21473.0 + 7815.54i 1.02286 + 0.372290i 0.798358 0.602183i \(-0.205702\pi\)
0.224502 + 0.974474i \(0.427925\pi\)
\(762\) −5227.75 1902.74i −0.248532 0.0904582i
\(763\) −4417.30 + 7650.99i −0.209590 + 0.363020i
\(764\) −2024.23 + 11480.0i −0.0958561 + 0.543627i
\(765\) 7255.52 6088.11i 0.342907 0.287733i
\(766\) 14656.5 + 25385.8i 0.691334 + 1.19743i
\(767\) −171.932 + 297.795i −0.00809402 + 0.0140192i
\(768\) −48.8016 276.768i −0.00229294 0.0130039i
\(769\) −12540.5 21720.7i −0.588063 1.01856i