Properties

Label 147.4.o.a.101.11
Level $147$
Weight $4$
Character 147.101
Analytic conductor $8.673$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 147 = 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 147.o (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(8.67328077084\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 101.11
Character \(\chi\) \(=\) 147.101
Dual form 147.4.o.a.131.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.61324 - 1.41809i) q^{2} +(5.16133 - 0.600543i) q^{3} +(5.18012 + 4.80645i) q^{4} +(-14.1175 - 9.62516i) q^{5} +(-19.5008 - 5.14935i) q^{6} +(-17.7302 - 5.35166i) q^{7} +(1.57212 + 3.26455i) q^{8} +(26.2787 - 6.19920i) q^{9} +O(q^{10})\) \(q+(-3.61324 - 1.41809i) q^{2} +(5.16133 - 0.600543i) q^{3} +(5.18012 + 4.80645i) q^{4} +(-14.1175 - 9.62516i) q^{5} +(-19.5008 - 5.14935i) q^{6} +(-17.7302 - 5.35166i) q^{7} +(1.57212 + 3.26455i) q^{8} +(26.2787 - 6.19920i) q^{9} +(37.3606 + 54.7980i) q^{10} +(4.02106 + 26.6780i) q^{11} +(29.6228 + 21.6968i) q^{12} +(-20.2605 + 16.1572i) q^{13} +(56.4744 + 44.4799i) q^{14} +(-78.6455 - 41.2005i) q^{15} +(-5.27568 - 70.3991i) q^{16} +(25.6621 + 7.91570i) q^{17} +(-103.742 - 14.8664i) q^{18} +(-39.0366 + 22.5378i) q^{19} +(-26.8676 - 117.715i) q^{20} +(-94.7253 - 16.9739i) q^{21} +(23.3028 - 102.096i) q^{22} +(35.6104 + 115.446i) q^{23} +(10.0748 + 15.9053i) q^{24} +(60.9929 + 155.407i) q^{25} +(96.1186 - 29.6487i) q^{26} +(131.910 - 47.7776i) q^{27} +(-66.1221 - 112.942i) q^{28} +(-172.654 + 39.4071i) q^{29} +(225.739 + 260.394i) q^{30} +(219.808 + 126.906i) q^{31} +(-72.2261 + 234.151i) q^{32} +(36.7753 + 135.279i) q^{33} +(-81.4981 - 64.9926i) q^{34} +(198.796 + 246.208i) q^{35} +(165.923 + 94.1947i) q^{36} +(-256.546 + 238.040i) q^{37} +(173.009 - 26.0770i) q^{38} +(-94.8682 + 95.5601i) q^{39} +(9.22732 - 61.2192i) q^{40} +(232.198 - 111.821i) q^{41} +(318.195 + 195.660i) q^{42} +(-279.154 - 134.433i) q^{43} +(-107.397 + 157.522i) q^{44} +(-430.658 - 165.419i) q^{45} +(35.0443 - 467.634i) q^{46} +(-149.141 + 380.004i) q^{47} +(-69.5072 - 360.185i) q^{48} +(285.720 + 189.772i) q^{49} -648.018i q^{50} +(137.204 + 25.4444i) q^{51} +(-182.611 - 13.6848i) q^{52} +(225.522 - 243.055i) q^{53} +(-544.377 - 14.4289i) q^{54} +(200.012 - 415.330i) q^{55} +(-10.4033 - 66.2945i) q^{56} +(-187.946 + 139.768i) q^{57} +(679.723 + 102.452i) q^{58} +(-656.406 + 447.530i) q^{59} +(-209.365 - 591.429i) q^{60} +(-394.961 - 425.667i) q^{61} +(-614.255 - 770.252i) q^{62} +(-499.102 - 30.7216i) q^{63} +(240.889 - 302.066i) q^{64} +(441.544 - 33.0891i) q^{65} +(58.9603 - 540.947i) q^{66} +(-245.830 + 425.790i) q^{67} +(94.8863 + 164.348i) q^{68} +(253.128 + 574.470i) q^{69} +(-369.151 - 1171.52i) q^{70} +(-571.968 - 130.548i) q^{71} +(61.5510 + 76.0422i) q^{72} +(261.478 - 102.623i) q^{73} +(1264.53 - 496.290i) q^{74} +(408.133 + 765.480i) q^{75} +(-310.541 - 70.8790i) q^{76} +(71.4772 - 494.525i) q^{77} +(478.295 - 210.750i) q^{78} +(-437.652 - 758.036i) q^{79} +(-603.123 + 1044.64i) q^{80} +(652.140 - 325.814i) q^{81} +(-997.559 + 74.7567i) q^{82} +(258.399 - 324.022i) q^{83} +(-409.104 - 543.220i) q^{84} +(-286.095 - 358.752i) q^{85} +(818.012 + 881.607i) q^{86} +(-867.457 + 307.079i) q^{87} +(-80.7699 + 55.0680i) q^{88} +(-163.779 - 24.6857i) q^{89} +(1321.49 + 1208.41i) q^{90} +(445.691 - 178.043i) q^{91} +(-370.420 + 769.185i) q^{92} +(1210.72 + 523.001i) q^{93} +(1077.76 - 1161.55i) q^{94} +(768.029 + 57.5558i) q^{95} +(-232.165 + 1251.91i) q^{96} +42.3719i q^{97} +(-763.260 - 1090.87i) q^{98} +(271.050 + 676.135i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 11q^{3} - 234q^{4} + 14q^{6} + 28q^{7} - 125q^{9} + O(q^{10}) \) \( 648q - 11q^{3} - 234q^{4} + 14q^{6} + 28q^{7} - 125q^{9} - 58q^{10} - 207q^{12} - 28q^{13} - 148q^{15} + 726q^{16} - 81q^{18} - 342q^{19} - 371q^{21} - 156q^{22} - 428q^{24} + 1250q^{25} - 56q^{27} + 700q^{28} + 389q^{30} + 888q^{31} + 841q^{33} - 532q^{34} - 38q^{36} + 1178q^{37} - 180q^{39} + 194q^{40} + 56q^{42} + 1296q^{43} - 617q^{45} - 6756q^{46} - 2380q^{49} + 787q^{51} - 5204q^{52} + 4144q^{54} - 5698q^{55} + 863q^{57} - 3066q^{58} + 2820q^{60} + 1492q^{61} - 1085q^{63} + 7648q^{64} + 2568q^{66} + 142q^{67} - 5474q^{69} + 5180q^{70} + 1278q^{72} + 2876q^{73} - 1754q^{75} + 7644q^{76} + 936q^{78} - 992q^{79} + 911q^{81} + 1022q^{82} + 7868q^{84} + 2672q^{85} - 196q^{87} + 370q^{88} - 18767q^{90} - 2254q^{91} - 11096q^{93} - 3628q^{94} - 24248q^{96} + 10982q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).

\(n\) \(50\) \(52\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.61324 1.41809i −1.27747 0.501372i −0.372973 0.927842i \(-0.621662\pi\)
−0.904501 + 0.426470i \(0.859757\pi\)
\(3\) 5.16133 0.600543i 0.993299 0.115574i
\(4\) 5.18012 + 4.80645i 0.647515 + 0.600806i
\(5\) −14.1175 9.62516i −1.26271 0.860900i −0.267978 0.963425i \(-0.586356\pi\)
−0.994730 + 0.102525i \(0.967308\pi\)
\(6\) −19.5008 5.14935i −1.32686 0.350369i
\(7\) −17.7302 5.35166i −0.957340 0.288962i
\(8\) 1.57212 + 3.26455i 0.0694787 + 0.144274i
\(9\) 26.2787 6.19920i 0.973285 0.229600i
\(10\) 37.3606 + 54.7980i 1.18145 + 1.73286i
\(11\) 4.02106 + 26.6780i 0.110218 + 0.731246i 0.973861 + 0.227144i \(0.0729387\pi\)
−0.863644 + 0.504103i \(0.831823\pi\)
\(12\) 29.6228 + 21.6968i 0.712614 + 0.521944i
\(13\) −20.2605 + 16.1572i −0.432251 + 0.344708i −0.815319 0.579012i \(-0.803439\pi\)
0.383069 + 0.923720i \(0.374867\pi\)
\(14\) 56.4744 + 44.4799i 1.07810 + 0.849125i
\(15\) −78.6455 41.2005i −1.35375 0.709194i
\(16\) −5.27568 70.3991i −0.0824325 1.09999i
\(17\) 25.6621 + 7.91570i 0.366116 + 0.112932i 0.472354 0.881409i \(-0.343404\pi\)
−0.106238 + 0.994341i \(0.533881\pi\)
\(18\) −103.742 14.8664i −1.35846 0.194670i
\(19\) −39.0366 + 22.5378i −0.471348 + 0.272133i −0.716804 0.697275i \(-0.754396\pi\)
0.245456 + 0.969408i \(0.421062\pi\)
\(20\) −26.8676 117.715i −0.300389 1.31609i
\(21\) −94.7253 16.9739i −0.984322 0.176382i
\(22\) 23.3028 102.096i 0.225826 0.989409i
\(23\) 35.6104 + 115.446i 0.322838 + 1.04662i 0.960961 + 0.276682i \(0.0892349\pi\)
−0.638123 + 0.769934i \(0.720289\pi\)
\(24\) 10.0748 + 15.9053i 0.0856875 + 0.135277i
\(25\) 60.9929 + 155.407i 0.487943 + 1.24326i
\(26\) 96.1186 29.6487i 0.725016 0.223638i
\(27\) 131.910 47.7776i 0.940227 0.340548i
\(28\) −66.1221 112.942i −0.446282 0.762284i
\(29\) −172.654 + 39.4071i −1.10555 + 0.252335i −0.736071 0.676904i \(-0.763321\pi\)
−0.369480 + 0.929239i \(0.620464\pi\)
\(30\) 225.739 + 260.394i 1.37380 + 1.58471i
\(31\) 219.808 + 126.906i 1.27351 + 0.735259i 0.975646 0.219350i \(-0.0703937\pi\)
0.297860 + 0.954609i \(0.403727\pi\)
\(32\) −72.2261 + 234.151i −0.398997 + 1.29351i
\(33\) 36.7753 + 135.279i 0.193992 + 0.713608i
\(34\) −81.4981 64.9926i −0.411083 0.327828i
\(35\) 198.796 + 246.208i 0.960074 + 1.18905i
\(36\) 165.923 + 94.1947i 0.768162 + 0.436086i
\(37\) −256.546 + 238.040i −1.13989 + 1.05766i −0.142192 + 0.989839i \(0.545415\pi\)
−0.997697 + 0.0678241i \(0.978394\pi\)
\(38\) 173.009 26.0770i 0.738574 0.111322i
\(39\) −94.8682 + 95.5601i −0.389514 + 0.392355i
\(40\) 9.22732 61.2192i 0.0364742 0.241990i
\(41\) 232.198 111.821i 0.884468 0.425937i 0.0642137 0.997936i \(-0.479546\pi\)
0.820255 + 0.571999i \(0.193832\pi\)
\(42\) 318.195 + 195.660i 1.16901 + 0.718834i
\(43\) −279.154 134.433i −0.990014 0.476765i −0.132476 0.991186i \(-0.542293\pi\)
−0.857538 + 0.514421i \(0.828007\pi\)
\(44\) −107.397 + 157.522i −0.367970 + 0.539713i
\(45\) −430.658 165.419i −1.42664 0.547983i
\(46\) 35.0443 467.634i 0.112326 1.49889i
\(47\) −149.141 + 380.004i −0.462860 + 1.17935i 0.488855 + 0.872365i \(0.337415\pi\)
−0.951715 + 0.306983i \(0.900681\pi\)
\(48\) −69.5072 360.185i −0.209010 1.08309i
\(49\) 285.720 + 189.772i 0.833002 + 0.553271i
\(50\) 648.018i 1.83287i
\(51\) 137.204 + 25.4444i 0.376714 + 0.0698614i
\(52\) −182.611 13.6848i −0.486992 0.0364950i
\(53\) 225.522 243.055i 0.584487 0.629927i −0.369695 0.929153i \(-0.620538\pi\)
0.954182 + 0.299226i \(0.0967284\pi\)
\(54\) −544.377 14.4289i −1.37186 0.0363616i
\(55\) 200.012 415.330i 0.490357 1.01824i
\(56\) −10.4033 66.2945i −0.0248250 0.158196i
\(57\) −187.946 + 139.768i −0.436737 + 0.324785i
\(58\) 679.723 + 102.452i 1.53883 + 0.231941i
\(59\) −656.406 + 447.530i −1.44842 + 0.987516i −0.453041 + 0.891490i \(0.649661\pi\)
−0.995379 + 0.0960263i \(0.969387\pi\)
\(60\) −209.365 591.429i −0.450482 1.27255i
\(61\) −394.961 425.667i −0.829010 0.893460i 0.166699 0.986008i \(-0.446689\pi\)
−0.995708 + 0.0925480i \(0.970499\pi\)
\(62\) −614.255 770.252i −1.25823 1.57778i
\(63\) −499.102 30.7216i −0.998111 0.0614374i
\(64\) 240.889 302.066i 0.470487 0.589972i
\(65\) 441.544 33.0891i 0.842566 0.0631416i
\(66\) 58.9603 540.947i 0.109962 1.00888i
\(67\) −245.830 + 425.790i −0.448253 + 0.776397i −0.998272 0.0587551i \(-0.981287\pi\)
0.550020 + 0.835152i \(0.314620\pi\)
\(68\) 94.8863 + 164.348i 0.169215 + 0.293090i
\(69\) 253.128 + 574.470i 0.441637 + 1.00229i
\(70\) −369.151 1171.52i −0.630314 2.00033i
\(71\) −571.968 130.548i −0.956058 0.218214i −0.284093 0.958797i \(-0.591692\pi\)
−0.671965 + 0.740583i \(0.734550\pi\)
\(72\) 61.5510 + 76.0422i 0.100748 + 0.124467i
\(73\) 261.478 102.623i 0.419228 0.164535i −0.146344 0.989234i \(-0.546751\pi\)
0.565572 + 0.824699i \(0.308655\pi\)
\(74\) 1264.53 496.290i 1.98646 0.779629i
\(75\) 408.133 + 765.480i 0.628362 + 1.17853i
\(76\) −310.541 70.8790i −0.468704 0.106979i
\(77\) 71.4772 494.525i 0.105787 0.731901i
\(78\) 478.295 210.750i 0.694311 0.305933i
\(79\) −437.652 758.036i −0.623288 1.07957i −0.988869 0.148787i \(-0.952463\pi\)
0.365581 0.930779i \(-0.380870\pi\)
\(80\) −603.123 + 1044.64i −0.842890 + 1.45993i
\(81\) 652.140 325.814i 0.894568 0.446932i
\(82\) −997.559 + 74.7567i −1.34344 + 0.100677i
\(83\) 258.399 324.022i 0.341722 0.428506i −0.581040 0.813875i \(-0.697354\pi\)
0.922763 + 0.385368i \(0.125926\pi\)
\(84\) −409.104 543.220i −0.531392 0.705597i
\(85\) −286.095 358.752i −0.365075 0.457789i
\(86\) 818.012 + 881.607i 1.02568 + 1.10542i
\(87\) −867.457 + 307.079i −1.06898 + 0.378417i
\(88\) −80.7699 + 55.0680i −0.0978421 + 0.0667076i
\(89\) −163.779 24.6857i −0.195062 0.0294009i 0.0507844 0.998710i \(-0.483828\pi\)
−0.245847 + 0.969309i \(0.579066\pi\)
\(90\) 1321.49 + 1208.41i 1.54775 + 1.41531i
\(91\) 445.691 178.043i 0.513419 0.205099i
\(92\) −370.420 + 769.185i −0.419771 + 0.871664i
\(93\) 1210.72 + 523.001i 1.34995 + 0.583147i
\(94\) 1077.76 1161.55i 1.18258 1.27452i
\(95\) 768.029 + 57.5558i 0.829454 + 0.0621590i
\(96\) −232.165 + 1251.91i −0.246825 + 1.33096i
\(97\) 42.3719i 0.0443528i 0.999754 + 0.0221764i \(0.00705954\pi\)
−0.999754 + 0.0221764i \(0.992940\pi\)
\(98\) −763.260 1090.87i −0.786744 1.12443i
\(99\) 271.050 + 676.135i 0.275167 + 0.686405i
\(100\) −431.007 + 1098.19i −0.431007 + 1.09819i
\(101\) 49.8544 665.261i 0.0491158 0.655405i −0.917263 0.398282i \(-0.869606\pi\)
0.966379 0.257123i \(-0.0827746\pi\)
\(102\) −459.670 286.505i −0.446217 0.278120i
\(103\) −650.766 + 954.498i −0.622542 + 0.913102i −0.999916 0.0129593i \(-0.995875\pi\)
0.377374 + 0.926061i \(0.376827\pi\)
\(104\) −84.5981 40.7403i −0.0797647 0.0384126i
\(105\) 1173.91 + 1151.38i 1.09106 + 1.07012i
\(106\) −1159.54 + 558.405i −1.06250 + 0.511671i
\(107\) 110.017 729.918i 0.0993999 0.659475i −0.882534 0.470249i \(-0.844164\pi\)
0.981934 0.189226i \(-0.0605979\pi\)
\(108\) 912.952 + 386.526i 0.813415 + 0.344384i
\(109\) −1247.30 + 188.000i −1.09605 + 0.165203i −0.672083 0.740476i \(-0.734600\pi\)
−0.423965 + 0.905678i \(0.639362\pi\)
\(110\) −1311.67 + 1217.05i −1.13693 + 1.05492i
\(111\) −1181.17 + 1382.67i −1.01001 + 1.18232i
\(112\) −283.213 + 1276.42i −0.238938 + 1.07688i
\(113\) −831.525 663.119i −0.692242 0.552044i 0.212942 0.977065i \(-0.431695\pi\)
−0.905184 + 0.425021i \(0.860267\pi\)
\(114\) 877.298 238.491i 0.720759 0.195936i
\(115\) 608.457 1972.57i 0.493382 1.59950i
\(116\) −1083.78 625.718i −0.867466 0.500832i
\(117\) −432.258 + 550.190i −0.341558 + 0.434744i
\(118\) 3006.39 686.190i 2.34543 0.535330i
\(119\) −412.632 277.682i −0.317864 0.213908i
\(120\) 10.8605 321.514i 0.00826185 0.244584i
\(121\) 576.322 177.772i 0.432999 0.133563i
\(122\) 823.455 + 2098.13i 0.611083 + 1.55701i
\(123\) 1131.30 716.588i 0.829314 0.525305i
\(124\) 528.664 + 1713.89i 0.382867 + 1.24122i
\(125\) 159.490 698.769i 0.114121 0.499999i
\(126\) 1759.81 + 818.778i 1.24426 + 0.578909i
\(127\) 507.105 + 2221.77i 0.354317 + 1.55237i 0.767095 + 0.641533i \(0.221701\pi\)
−0.412778 + 0.910832i \(0.635441\pi\)
\(128\) 398.921 230.317i 0.275469 0.159042i
\(129\) −1521.54 526.212i −1.03848 0.359150i
\(130\) −1642.33 506.591i −1.10801 0.341777i
\(131\) −105.435 1406.94i −0.0703200 0.938355i −0.915096 0.403235i \(-0.867886\pi\)
0.844776 0.535120i \(-0.179733\pi\)
\(132\) −459.712 + 877.521i −0.303127 + 0.578624i
\(133\) 812.741 190.689i 0.529876 0.124322i
\(134\) 1492.05 1189.87i 0.961895 0.767085i
\(135\) −2322.11 595.155i −1.48041 0.379428i
\(136\) 14.5028 + 96.2196i 0.00914413 + 0.0606674i
\(137\) 171.752 + 251.915i 0.107108 + 0.157099i 0.876051 0.482219i \(-0.160169\pi\)
−0.768942 + 0.639318i \(0.779217\pi\)
\(138\) −99.9587 2434.66i −0.0616598 1.50183i
\(139\) 948.804 + 1970.21i 0.578968 + 1.20224i 0.960603 + 0.277926i \(0.0896469\pi\)
−0.381635 + 0.924313i \(0.624639\pi\)
\(140\) −153.601 + 2230.89i −0.0927258 + 1.34675i
\(141\) −541.556 + 2050.89i −0.323456 + 1.22494i
\(142\) 1881.53 + 1282.81i 1.11193 + 0.758104i
\(143\) −512.511 475.540i −0.299708 0.278089i
\(144\) −575.056 1817.29i −0.332787 1.05167i
\(145\) 2816.74 + 1105.49i 1.61322 + 0.633144i
\(146\) −1090.31 −0.618047
\(147\) 1588.66 + 807.889i 0.891363 + 0.453289i
\(148\) −2473.07 −1.37355
\(149\) −1661.06 651.919i −0.913285 0.358438i −0.138280 0.990393i \(-0.544157\pi\)
−0.775005 + 0.631955i \(0.782253\pi\)
\(150\) −389.162 3344.64i −0.211833 1.82059i
\(151\) −1204.24 1117.38i −0.649007 0.602190i 0.285396 0.958410i \(-0.407875\pi\)
−0.934402 + 0.356220i \(0.884065\pi\)
\(152\) −134.946 92.0046i −0.0720103 0.0490958i
\(153\) 723.437 + 48.9300i 0.382264 + 0.0258546i
\(154\) −959.547 + 1685.48i −0.502094 + 0.881946i
\(155\) −1881.65 3907.29i −0.975083 2.02478i
\(156\) −950.734 + 39.0338i −0.487946 + 0.0200334i
\(157\) −598.319 877.572i −0.304147 0.446101i 0.643489 0.765456i \(-0.277486\pi\)
−0.947635 + 0.319354i \(0.896534\pi\)
\(158\) 506.378 + 3359.60i 0.254970 + 1.69162i
\(159\) 1018.03 1389.92i 0.507767 0.693258i
\(160\) 3273.39 2610.45i 1.61740 1.28984i
\(161\) −13.5515 2237.46i −0.00663360 1.09526i
\(162\) −2818.37 + 252.449i −1.36687 + 0.122434i
\(163\) 98.4544 + 1313.78i 0.0473101 + 0.631309i 0.969582 + 0.244767i \(0.0787115\pi\)
−0.922272 + 0.386542i \(0.873669\pi\)
\(164\) 1740.27 + 536.803i 0.828613 + 0.255593i
\(165\) 782.907 2263.77i 0.369389 1.06809i
\(166\) −1393.15 + 804.336i −0.651383 + 0.376076i
\(167\) 237.145 + 1039.00i 0.109885 + 0.481439i 0.999685 + 0.0250879i \(0.00798657\pi\)
−0.889800 + 0.456351i \(0.849156\pi\)
\(168\) −93.5077 335.921i −0.0429421 0.154267i
\(169\) −339.446 + 1487.21i −0.154504 + 0.676927i
\(170\) 524.987 + 1701.97i 0.236851 + 0.767852i
\(171\) −886.114 + 834.259i −0.396274 + 0.373084i
\(172\) −799.904 2038.12i −0.354605 0.903519i
\(173\) 821.329 253.346i 0.360951 0.111339i −0.108975 0.994044i \(-0.534757\pi\)
0.469926 + 0.882706i \(0.344281\pi\)
\(174\) 3569.80 + 120.585i 1.55532 + 0.0525375i
\(175\) −249.729 3081.81i −0.107873 1.33122i
\(176\) 1856.89 423.823i 0.795275 0.181516i
\(177\) −3119.17 + 2704.05i −1.32458 + 1.14830i
\(178\) 556.767 + 321.449i 0.234446 + 0.135358i
\(179\) −1005.47 + 3259.65i −0.419845 + 1.36110i 0.460875 + 0.887465i \(0.347536\pi\)
−0.880719 + 0.473638i \(0.842940\pi\)
\(180\) −1435.78 2926.83i −0.594538 1.21196i
\(181\) 273.004 + 217.714i 0.112112 + 0.0894062i 0.677941 0.735116i \(-0.262872\pi\)
−0.565829 + 0.824522i \(0.691444\pi\)
\(182\) −1862.87 + 11.2828i −0.758710 + 0.00459525i
\(183\) −2294.16 1959.82i −0.926715 0.791660i
\(184\) −320.896 + 297.748i −0.128569 + 0.119295i
\(185\) 5912.96 891.236i 2.34989 0.354189i
\(186\) −3632.94 3606.64i −1.43215 1.42178i
\(187\) −107.986 + 716.442i −0.0422285 + 0.280168i
\(188\) −2599.04 + 1251.63i −1.00827 + 0.485556i
\(189\) −2594.48 + 141.168i −0.998523 + 0.0543305i
\(190\) −2693.46 1297.10i −1.02844 0.495271i
\(191\) −120.950 + 177.401i −0.0458200 + 0.0672057i −0.848465 0.529251i \(-0.822473\pi\)
0.802645 + 0.596457i \(0.203425\pi\)
\(192\) 1061.91 1703.72i 0.399148 0.640394i
\(193\) −93.9988 + 1254.33i −0.0350579 + 0.467816i 0.951854 + 0.306553i \(0.0991757\pi\)
−0.986912 + 0.161263i \(0.948443\pi\)
\(194\) 60.0874 153.100i 0.0222372 0.0566595i
\(195\) 2259.08 435.950i 0.829622 0.160098i
\(196\) 567.933 + 2356.34i 0.206973 + 0.858724i
\(197\) 4569.85i 1.65273i 0.563133 + 0.826366i \(0.309596\pi\)
−0.563133 + 0.826366i \(0.690404\pi\)
\(198\) −20.5477 2827.41i −0.00737504 1.01483i
\(199\) 4773.18 + 357.700i 1.70031 + 0.127421i 0.889214 0.457492i \(-0.151252\pi\)
0.811097 + 0.584912i \(0.198871\pi\)
\(200\) −411.446 + 443.434i −0.145468 + 0.156777i
\(201\) −1013.11 + 2345.28i −0.355517 + 0.823000i
\(202\) −1123.54 + 2333.05i −0.391346 + 0.812638i
\(203\) 3272.08 + 225.288i 1.13130 + 0.0778922i
\(204\) 588.437 + 791.271i 0.201955 + 0.271569i
\(205\) −4354.34 656.312i −1.48352 0.223604i
\(206\) 3704.94 2525.99i 1.25309 0.854339i
\(207\) 1651.47 + 2813.02i 0.554517 + 0.944533i
\(208\) 1244.34 + 1341.08i 0.414806 + 0.447054i
\(209\) −758.230 950.791i −0.250947 0.314677i
\(210\) −2608.86 5824.91i −0.857278 1.91408i
\(211\) 1561.63 1958.22i 0.509511 0.638907i −0.458834 0.888522i \(-0.651733\pi\)
0.968345 + 0.249615i \(0.0803041\pi\)
\(212\) 2336.46 175.094i 0.756929 0.0567240i
\(213\) −3030.52 330.310i −0.974872 0.106256i
\(214\) −1432.61 + 2481.36i −0.457623 + 0.792627i
\(215\) 2647.02 + 4584.77i 0.839651 + 1.45432i
\(216\) 363.351 + 355.515i 0.114458 + 0.111989i
\(217\) −3218.08 3426.41i −1.00672 1.07189i
\(218\) 4773.39 + 1089.49i 1.48300 + 0.338486i
\(219\) 1287.94 686.697i 0.397403 0.211885i
\(220\) 3032.35 1190.11i 0.929278 0.364715i
\(221\) −647.823 + 254.252i −0.197182 + 0.0773883i
\(222\) 6228.60 3320.92i 1.88305 1.00399i
\(223\) −5533.35 1262.95i −1.66162 0.379253i −0.714373 0.699765i \(-0.753288\pi\)
−0.947245 + 0.320511i \(0.896145\pi\)
\(224\) 2533.68 3765.02i 0.755753 1.12304i
\(225\) 2566.21 + 3705.79i 0.760360 + 1.09801i
\(226\) 2064.14 + 3575.19i 0.607541 + 1.05229i
\(227\) −2673.89 + 4631.32i −0.781817 + 1.35415i 0.149065 + 0.988827i \(0.452374\pi\)
−0.930882 + 0.365320i \(0.880960\pi\)
\(228\) −1645.37 179.337i −0.477927 0.0520915i
\(229\) 3238.20 242.670i 0.934438 0.0700265i 0.401199 0.915991i \(-0.368594\pi\)
0.533239 + 0.845964i \(0.320975\pi\)
\(230\) −4995.79 + 6264.52i −1.43223 + 1.79596i
\(231\) 71.9344 2595.33i 0.0204889 0.739222i
\(232\) −400.079 501.684i −0.113218 0.141970i
\(233\) 804.795 + 867.363i 0.226283 + 0.243875i 0.835980 0.548759i \(-0.184900\pi\)
−0.609698 + 0.792634i \(0.708709\pi\)
\(234\) 2342.07 1374.99i 0.654300 0.384127i
\(235\) 5763.10 3929.21i 1.59976 1.09070i
\(236\) −5551.29 836.723i −1.53118 0.230788i
\(237\) −2714.10 3649.65i −0.743881 1.00030i
\(238\) 1097.16 + 1588.48i 0.298816 + 0.432630i
\(239\) 2268.53 4710.66i 0.613971 1.27492i −0.329714 0.944081i \(-0.606952\pi\)
0.943685 0.330844i \(-0.107333\pi\)
\(240\) −2485.57 + 5753.93i −0.668511 + 1.54756i
\(241\) 585.572 631.097i 0.156515 0.168683i −0.649926 0.759997i \(-0.725200\pi\)
0.806441 + 0.591314i \(0.201391\pi\)
\(242\) −2334.49 174.946i −0.620110 0.0464708i
\(243\) 3170.25 2073.27i 0.836919 0.547327i
\(244\) 4103.37i 1.07660i
\(245\) −2207.07 5429.20i −0.575528 1.41575i
\(246\) −5103.84 + 984.921i −1.32280 + 0.255269i
\(247\) 426.753 1087.35i 0.109934 0.280107i
\(248\) −68.7262 + 917.087i −0.0175972 + 0.234819i
\(249\) 1139.09 1827.56i 0.289908 0.465129i
\(250\) −1567.19 + 2298.65i −0.396472 + 0.581518i
\(251\) 3506.30 + 1688.54i 0.881735 + 0.424621i 0.819258 0.573425i \(-0.194386\pi\)
0.0624772 + 0.998046i \(0.480100\pi\)
\(252\) −2437.75 2558.05i −0.609380 0.639453i
\(253\) −2936.68 + 1414.23i −0.729752 + 0.351430i
\(254\) 1318.39 8746.93i 0.325681 2.16075i
\(255\) −1692.08 1679.82i −0.415537 0.412528i
\(256\) −4824.34 + 727.152i −1.17782 + 0.177527i
\(257\) −2314.83 + 2147.85i −0.561848 + 0.521319i −0.909169 0.416428i \(-0.863282\pi\)
0.347321 + 0.937746i \(0.387091\pi\)
\(258\) 4751.47 + 4059.02i 1.14657 + 0.979470i
\(259\) 5822.52 2847.55i 1.39689 0.683159i
\(260\) 2446.29 + 1950.85i 0.583510 + 0.465334i
\(261\) −4292.82 + 2105.88i −1.01808 + 0.499428i
\(262\) −1614.20 + 5233.12i −0.380633 + 1.23398i
\(263\) −3578.96 2066.31i −0.839118 0.484465i 0.0178461 0.999841i \(-0.494319\pi\)
−0.856964 + 0.515376i \(0.827652\pi\)
\(264\) −383.810 + 332.730i −0.0894767 + 0.0775686i
\(265\) −5523.25 + 1260.65i −1.28034 + 0.292230i
\(266\) −3207.04 463.537i −0.739235 0.106847i
\(267\) −860.143 29.0549i −0.197153 0.00665967i
\(268\) −3319.97 + 1024.08i −0.756715 + 0.233416i
\(269\) 106.166 + 270.508i 0.0240635 + 0.0613128i 0.942401 0.334486i \(-0.108563\pi\)
−0.918337 + 0.395799i \(0.870468\pi\)
\(270\) 7546.36 + 5443.41i 1.70095 + 1.22695i
\(271\) −1182.96 3835.06i −0.265165 0.859644i −0.986030 0.166568i \(-0.946731\pi\)
0.720865 0.693076i \(-0.243745\pi\)
\(272\) 421.873 1848.35i 0.0940435 0.412031i
\(273\) 2193.44 1186.60i 0.486274 0.263063i
\(274\) −263.345 1153.79i −0.0580630 0.254390i
\(275\) −3900.70 + 2252.07i −0.855348 + 0.493836i
\(276\) −1449.93 + 4192.47i −0.316216 + 0.914337i
\(277\) −5351.24 1650.64i −1.16074 0.358041i −0.346207 0.938158i \(-0.612531\pi\)
−0.814533 + 0.580117i \(0.803007\pi\)
\(278\) −634.315 8464.35i −0.136848 1.82611i
\(279\) 6562.99 + 1972.30i 1.40830 + 0.423220i
\(280\) −491.226 + 1036.05i −0.104844 + 0.221127i
\(281\) 3044.00 2427.51i 0.646227 0.515349i −0.244640 0.969614i \(-0.578670\pi\)
0.890866 + 0.454266i \(0.150098\pi\)
\(282\) 4865.13 6642.40i 1.02736 1.40266i
\(283\) 490.686 + 3255.49i 0.103068 + 0.683812i 0.979374 + 0.202057i \(0.0647626\pi\)
−0.876306 + 0.481756i \(0.839999\pi\)
\(284\) −2335.39 3425.39i −0.487958 0.715703i
\(285\) 3998.62 164.169i 0.831079 0.0341212i
\(286\) 1177.46 + 2445.03i 0.243444 + 0.505516i
\(287\) −4715.34 + 739.957i −0.969817 + 0.152189i
\(288\) −446.457 + 6600.93i −0.0913464 + 1.35057i
\(289\) −3463.43 2361.32i −0.704952 0.480628i
\(290\) −8609.88 7988.80i −1.74341 1.61765i
\(291\) 25.4461 + 218.696i 0.00512605 + 0.0440555i
\(292\) 1847.74 + 725.184i 0.370310 + 0.145336i
\(293\) −4979.80 −0.992912 −0.496456 0.868062i \(-0.665366\pi\)
−0.496456 + 0.868062i \(0.665366\pi\)
\(294\) −4594.55 5171.97i −0.911428 1.02597i
\(295\) 13574.4 2.67908
\(296\) −1180.42 463.279i −0.231791 0.0909714i
\(297\) 1805.03 + 3326.98i 0.352654 + 0.650003i
\(298\) 5077.34 + 4711.08i 0.986988 + 0.915791i
\(299\) −2586.77 1763.63i −0.500325 0.341115i
\(300\) −1565.06 + 5926.95i −0.301196 + 1.14064i
\(301\) 4230.01 + 3877.47i 0.810013 + 0.742503i
\(302\) 2766.68 + 5745.08i 0.527168 + 1.09468i
\(303\) −142.202 3463.57i −0.0269614 0.656690i
\(304\) 1792.58 + 2629.24i 0.338196 + 0.496043i
\(305\) 1478.76 + 9810.92i 0.277618 + 1.84187i
\(306\) −2544.57 1202.70i −0.475370 0.224685i
\(307\) 7364.93 5873.33i 1.36918 1.09189i 0.383449 0.923562i \(-0.374736\pi\)
0.985732 0.168323i \(-0.0538353\pi\)
\(308\) 2747.17 2218.15i 0.508229 0.410359i
\(309\) −2785.60 + 5317.29i −0.512839 + 0.978933i
\(310\) 1257.96 + 16786.3i 0.230476 + 3.07548i
\(311\) 8510.90 + 2625.26i 1.55180 + 0.478666i 0.947946 0.318431i \(-0.103156\pi\)
0.603851 + 0.797097i \(0.293632\pi\)
\(312\) −461.105 159.469i −0.0836697 0.0289365i
\(313\) −3544.15 + 2046.21i −0.640023 + 0.369517i −0.784623 0.619973i \(-0.787144\pi\)
0.144601 + 0.989490i \(0.453810\pi\)
\(314\) 917.391 + 4019.35i 0.164877 + 0.722373i
\(315\) 6750.38 + 5237.65i 1.20743 + 0.936851i
\(316\) 1376.37 6030.28i 0.245022 1.07351i
\(317\) 408.126 + 1323.11i 0.0723111 + 0.234427i 0.984512 0.175316i \(-0.0560947\pi\)
−0.912201 + 0.409743i \(0.865618\pi\)
\(318\) −5649.42 + 3578.47i −0.996239 + 0.631039i
\(319\) −1745.55 4447.59i −0.306370 0.780619i
\(320\) −6308.18 + 1945.82i −1.10199 + 0.339920i
\(321\) 129.490 3833.42i 0.0225153 0.666544i
\(322\) −3123.96 + 8103.69i −0.540656 + 1.40249i
\(323\) −1180.16 + 269.364i −0.203300 + 0.0464020i
\(324\) 4944.17 + 1446.72i 0.847766 + 0.248066i
\(325\) −3746.70 2163.16i −0.639475 0.369201i
\(326\) 1507.33 4886.63i 0.256083 0.830201i
\(327\) −6324.81 + 1719.38i −1.06961 + 0.290771i
\(328\) 730.087 + 582.225i 0.122903 + 0.0980122i
\(329\) 4677.95 5939.40i 0.783901 0.995288i
\(330\) −6039.07 + 7069.32i −1.00739 + 1.17925i
\(331\) 7816.56 7252.71i 1.29800 1.20437i 0.332754 0.943014i \(-0.392022\pi\)
0.965244 0.261352i \(-0.0841683\pi\)
\(332\) 2895.93 436.492i 0.478720 0.0721554i
\(333\) −5266.04 + 7845.76i −0.866598 + 1.29113i
\(334\) 616.537 4090.45i 0.101004 0.670119i
\(335\) 7568.81 3644.95i 1.23441 0.594462i
\(336\) −695.209 + 6758.12i −0.112877 + 1.09728i
\(337\) 1053.07 + 507.131i 0.170221 + 0.0819739i 0.517054 0.855953i \(-0.327029\pi\)
−0.346833 + 0.937927i \(0.612743\pi\)
\(338\) 3335.50 4892.28i 0.536767 0.787293i
\(339\) −4690.01 2923.21i −0.751405 0.468339i
\(340\) 242.316 3233.48i 0.0386512 0.515765i
\(341\) −2501.74 + 6374.33i −0.397293 + 1.01229i
\(342\) 4384.80 1757.79i 0.693284 0.277925i
\(343\) −4050.27 4893.76i −0.637592 0.770374i
\(344\) 1122.66i 0.175958i
\(345\) 1955.84 10546.5i 0.305214 1.64581i
\(346\) −3326.93 249.319i −0.516928 0.0387384i
\(347\) −6363.08 + 6857.77i −0.984403 + 1.06093i 0.0137329 + 0.999906i \(0.495629\pi\)
−0.998136 + 0.0610286i \(0.980562\pi\)
\(348\) −5969.50 2578.69i −0.919536 0.397219i
\(349\) −1496.42 + 3107.35i −0.229518 + 0.476598i −0.983642 0.180133i \(-0.942347\pi\)
0.754125 + 0.656731i \(0.228061\pi\)
\(350\) −3467.97 + 11489.5i −0.529631 + 1.75468i
\(351\) −1900.62 + 3099.30i −0.289024 + 0.471306i
\(352\) −6537.10 985.310i −0.989855 0.149197i
\(353\) −1116.40 + 761.151i −0.168329 + 0.114765i −0.644554 0.764558i \(-0.722957\pi\)
0.476225 + 0.879323i \(0.342005\pi\)
\(354\) 15104.9 5347.12i 2.26784 0.802814i
\(355\) 6818.22 + 7348.30i 1.01936 + 1.09861i
\(356\) −729.745 915.071i −0.108642 0.136232i
\(357\) −2296.49 1185.40i −0.340457 0.175737i
\(358\) 8255.49 10352.1i 1.21876 1.52828i
\(359\) 9888.48 741.039i 1.45374 0.108943i 0.675711 0.737167i \(-0.263837\pi\)
0.778033 + 0.628224i \(0.216218\pi\)
\(360\) −137.028 1665.96i −0.0200612 0.243900i
\(361\) −2413.60 + 4180.47i −0.351888 + 0.609487i
\(362\) −677.692 1173.80i −0.0983942 0.170424i
\(363\) 2867.83 1263.65i 0.414661 0.182711i
\(364\) 3164.49 + 1219.90i 0.455671 + 0.175660i
\(365\) −4679.17 1067.99i −0.671011 0.153154i
\(366\) 5510.14 + 10334.6i 0.786939 + 1.47595i
\(367\) 1349.42 529.607i 0.191932 0.0753277i −0.267429 0.963578i \(-0.586174\pi\)
0.459360 + 0.888250i \(0.348079\pi\)
\(368\) 7939.43 3116.00i 1.12465 0.441393i
\(369\) 5408.66 4377.94i 0.763045 0.617632i
\(370\) −22628.8 5164.88i −3.17951 0.725701i
\(371\) −5299.29 + 3102.49i −0.741578 + 0.434160i
\(372\) 3757.87 + 8528.46i 0.523755 + 1.18866i
\(373\) 165.002 + 285.792i 0.0229048 + 0.0396723i 0.877251 0.480033i \(-0.159375\pi\)
−0.854346 + 0.519705i \(0.826042\pi\)
\(374\) 1406.16 2435.54i 0.194414 0.336735i
\(375\) 403.538 3702.36i 0.0555696 0.509838i
\(376\) −1475.01 + 110.537i −0.202308 + 0.0151609i
\(377\) 2861.34 3588.01i 0.390893 0.490165i
\(378\) 9574.69 + 3169.14i 1.30283 + 0.431225i
\(379\) −8437.67 10580.5i −1.14357 1.43400i −0.883515 0.468402i \(-0.844830\pi\)
−0.260058 0.965593i \(-0.583742\pi\)
\(380\) 3701.85 + 3989.64i 0.499739 + 0.538590i
\(381\) 3951.61 + 11162.8i 0.531357 + 1.50101i
\(382\) 688.593 469.474i 0.0922290 0.0628806i
\(383\) 1497.43 + 225.702i 0.199779 + 0.0301118i 0.248169 0.968717i \(-0.420171\pi\)
−0.0483906 + 0.998828i \(0.515409\pi\)
\(384\) 1920.65 1428.31i 0.255242 0.189813i
\(385\) −5768.96 + 6293.48i −0.763671 + 0.833105i
\(386\) 2118.39 4398.89i 0.279335 0.580046i
\(387\) −8169.18 1802.21i −1.07303 0.236722i
\(388\) −203.659 + 219.492i −0.0266474 + 0.0287191i
\(389\) −6878.50 515.473i −0.896540 0.0671864i −0.381516 0.924362i \(-0.624598\pi\)
−0.515024 + 0.857176i \(0.672217\pi\)
\(390\) −8780.84 1628.40i −1.14009 0.211429i
\(391\) 3244.47i 0.419642i
\(392\) −170.333 + 1231.09i −0.0219467 + 0.158621i
\(393\) −1389.11 7198.34i −0.178299 0.923940i
\(394\) 6480.47 16512.0i 0.828633 2.11132i
\(395\) −1117.65 + 14914.1i −0.142368 + 1.89977i
\(396\) −1845.74 + 4805.25i −0.234222 + 0.609780i
\(397\) 3979.71 5837.17i 0.503114 0.737932i −0.487723 0.872999i \(-0.662172\pi\)
0.990837 + 0.135066i \(0.0431247\pi\)
\(398\) −16739.4 8061.27i −2.10822 1.01526i
\(399\) 4080.31 1472.29i 0.511957 0.184729i
\(400\) 10618.8 5113.72i 1.32734 0.639215i
\(401\) 739.416 4905.71i 0.0920815 0.610921i −0.894427 0.447213i \(-0.852417\pi\)
0.986509 0.163708i \(-0.0523454\pi\)
\(402\) 6986.42 7037.38i 0.866793 0.873116i
\(403\) −6503.88 + 980.302i −0.803924 + 0.121172i
\(404\) 3455.80 3206.51i 0.425575 0.394876i
\(405\) −12342.6 1677.27i −1.51434 0.205788i
\(406\) −11503.3 5454.13i −1.40616 0.666709i
\(407\) −7382.01 5886.96i −0.899048 0.716967i
\(408\) 132.638 + 487.912i 0.0160945 + 0.0592040i
\(409\) 1260.62 4086.81i 0.152404 0.494083i −0.846885 0.531776i \(-0.821525\pi\)
0.999289 + 0.0376932i \(0.0120010\pi\)
\(410\) 14802.6 + 8546.28i 1.78304 + 1.02944i
\(411\) 1037.76 + 1197.07i 0.124547 + 0.143667i
\(412\) −7958.79 + 1816.54i −0.951703 + 0.217220i
\(413\) 14033.2 4421.93i 1.67199 0.526850i
\(414\) −1978.04 12506.1i −0.234819 1.48464i
\(415\) −6766.71 + 2087.25i −0.800397 + 0.246890i
\(416\) −2319.90 5911.00i −0.273419 0.696660i
\(417\) 6080.29 + 9599.12i 0.714036 + 1.12727i
\(418\) 1391.36 + 4510.68i 0.162808 + 0.527810i
\(419\) −428.495 + 1877.36i −0.0499602 + 0.218890i −0.993745 0.111669i \(-0.964380\pi\)
0.943785 + 0.330559i \(0.107237\pi\)
\(420\) 546.960 + 11606.6i 0.0635451 + 1.34844i
\(421\) −477.226 2090.86i −0.0552460 0.242048i 0.939764 0.341824i \(-0.111045\pi\)
−0.995010 + 0.0997755i \(0.968188\pi\)
\(422\) −8419.48 + 4860.99i −0.971218 + 0.560733i
\(423\) −1563.50 + 10910.6i −0.179716 + 1.25411i
\(424\) 1148.01 + 354.115i 0.131492 + 0.0405598i
\(425\) 335.046 + 4470.88i 0.0382403 + 0.510281i
\(426\) 10481.6 + 5491.05i 1.19210 + 0.624512i
\(427\) 4724.71 + 9660.85i 0.535468 + 1.09490i
\(428\) 4078.22 3252.27i 0.460580 0.367300i
\(429\) −2930.82 2146.64i −0.329840 0.241587i
\(430\) −3062.69 20319.6i −0.343479 2.27883i
\(431\) −5325.10 7810.49i −0.595130 0.872896i 0.403993 0.914762i \(-0.367622\pi\)
−0.999123 + 0.0418662i \(0.986670\pi\)
\(432\) −4059.42 9034.30i −0.452103 1.00616i
\(433\) −227.695 472.813i −0.0252709 0.0524756i 0.887951 0.459938i \(-0.152128\pi\)
−0.913222 + 0.407462i \(0.866414\pi\)
\(434\) 6768.74 + 16944.0i 0.748641 + 1.87405i
\(435\) 15202.0 + 4014.22i 1.67559 + 0.442453i
\(436\) −7364.76 5021.21i −0.808963 0.551542i
\(437\) −3992.01 3704.04i −0.436988 0.405465i
\(438\) −5627.46 + 654.778i −0.613905 + 0.0714304i
\(439\) 8831.90 + 3466.27i 0.960191 + 0.376847i 0.793098 0.609094i \(-0.208467\pi\)
0.167093 + 0.985941i \(0.446562\pi\)
\(440\) 1670.31 0.180975
\(441\) 8684.77 + 3215.72i 0.937779 + 0.347233i
\(442\) 2701.29 0.290696
\(443\) 7402.02 + 2905.08i 0.793861 + 0.311567i 0.727393 0.686221i \(-0.240732\pi\)
0.0664679 + 0.997789i \(0.478827\pi\)
\(444\) −12764.3 + 1485.18i −1.36434 + 0.158747i
\(445\) 2074.55 + 1924.90i 0.220996 + 0.205054i
\(446\) 18202.4 + 12410.2i 1.93253 + 1.31757i
\(447\) −8964.80 2367.23i −0.948591 0.250484i
\(448\) −5887.56 + 4066.52i −0.620896 + 0.428851i
\(449\) −3763.80 7815.61i −0.395600 0.821473i −0.999698 0.0245627i \(-0.992181\pi\)
0.604098 0.796910i \(-0.293534\pi\)
\(450\) −4017.19 17029.1i −0.420827 1.78391i
\(451\) 3916.83 + 5744.93i 0.408949 + 0.599818i
\(452\) −1120.15 7431.72i −0.116565 0.773360i
\(453\) −6886.53 5043.94i −0.714255 0.523146i
\(454\) 16229.1 12942.2i 1.67768 1.33791i
\(455\) −8005.74 1776.31i −0.824868 0.183022i
\(456\) −751.754 393.826i −0.0772020 0.0404442i
\(457\) −166.304 2219.17i −0.0170227 0.227152i −0.999226 0.0393322i \(-0.987477\pi\)
0.982204 0.187820i \(-0.0601421\pi\)
\(458\) −12044.5 3715.25i −1.22883 0.379044i
\(459\) 3763.28 181.911i 0.382691 0.0184986i
\(460\) 12632.9 7293.63i 1.28046 0.739276i
\(461\) −3935.60 17243.0i −0.397612 1.74205i −0.636752 0.771069i \(-0.719722\pi\)
0.239139 0.970985i \(-0.423135\pi\)
\(462\) −3940.34 + 9275.56i −0.396799 + 0.934065i
\(463\) −2289.54 + 10031.1i −0.229814 + 1.00688i 0.719977 + 0.693998i \(0.244152\pi\)
−0.949791 + 0.312884i \(0.898705\pi\)
\(464\) 3685.09 + 11946.8i 0.368698 + 1.19529i
\(465\) −12058.3 19036.8i −1.20256 1.89852i
\(466\) −1677.92 4275.27i −0.166798 0.424996i
\(467\) −6809.50 + 2100.45i −0.674745 + 0.208131i −0.613146 0.789970i \(-0.710096\pi\)
−0.0615991 + 0.998101i \(0.519620\pi\)
\(468\) −4883.61 + 772.423i −0.482361 + 0.0762933i
\(469\) 6637.30 6233.75i 0.653480 0.613748i
\(470\) −26395.5 + 6024.59i −2.59049 + 0.591263i
\(471\) −3615.14 4170.13i −0.353666 0.407960i
\(472\) −2492.93 1439.30i −0.243107 0.140358i
\(473\) 2463.92 7987.83i 0.239516 0.776492i
\(474\) 4631.17 + 17035.9i 0.448769 + 1.65081i
\(475\) −5883.49 4691.93i −0.568322 0.453222i
\(476\) −802.819 3421.72i −0.0773049 0.329484i
\(477\) 4419.68 7785.22i 0.424241 0.747297i
\(478\) −14876.9 + 13803.8i −1.42354 + 1.32086i
\(479\) −2068.70 + 311.806i −0.197330 + 0.0297428i −0.246964 0.969025i \(-0.579433\pi\)
0.0496333 + 0.998768i \(0.484195\pi\)
\(480\) 15327.4 15439.2i 1.45749 1.46812i
\(481\) 1351.69 8967.89i 0.128133 0.850105i
\(482\) −3010.77 + 1449.91i −0.284516 + 0.137016i
\(483\) −1413.63 11540.1i −0.133173 1.08715i
\(484\) 3839.87 + 1849.18i 0.360619 + 0.173665i
\(485\) 407.836 598.186i 0.0381833 0.0560046i
\(486\) −14395.0 + 2995.53i −1.34356 + 0.279588i
\(487\) 1120.93 14957.7i 0.104300 1.39178i −0.662098 0.749417i \(-0.730334\pi\)
0.766398 0.642366i \(-0.222047\pi\)
\(488\) 768.682 1958.57i 0.0713045 0.181681i
\(489\) 1297.14 + 6721.74i 0.119956 + 0.621611i
\(490\) 275.550 + 22746.8i 0.0254042 + 2.09714i
\(491\) 4066.86i 0.373798i −0.982379 0.186899i \(-0.940156\pi\)
0.982379 0.186899i \(-0.0598437\pi\)
\(492\) 9304.50 + 1725.51i 0.852600 + 0.158114i
\(493\) −4742.59 355.408i −0.433256 0.0324681i
\(494\) −3083.93 + 3323.68i −0.280875 + 0.302712i
\(495\) 2681.35 12154.2i 0.243470 1.10362i
\(496\) 7774.45 16143.8i 0.703796 1.46145i
\(497\) 9442.46 + 5375.62i 0.852218 + 0.485170i
\(498\) −6707.48 + 4988.09i −0.603553 + 0.448839i
\(499\) −7313.35 1102.31i −0.656093 0.0988901i −0.187445 0.982275i \(-0.560021\pi\)
−0.468648 + 0.883385i \(0.655259\pi\)
\(500\) 4184.78 2853.13i 0.374298 0.255192i
\(501\) 1847.95 + 5220.21i 0.164791 + 0.465512i
\(502\) −10274.6 11073.4i −0.913501 0.984520i
\(503\) 8519.41 + 10683.0i 0.755192 + 0.946981i 0.999743 0.0226554i \(-0.00721205\pi\)
−0.244551 + 0.969636i \(0.578641\pi\)
\(504\) −684.359 1677.64i −0.0604836 0.148270i
\(505\) −7107.06 + 8911.97i −0.626258 + 0.785302i
\(506\) 12616.4 945.471i 1.10844 0.0830659i
\(507\) −858.860 + 7879.83i −0.0752334 + 0.690248i
\(508\) −8051.97 + 13946.4i −0.703245 + 1.21806i
\(509\) 6633.26 + 11489.1i 0.577631 + 1.00049i 0.995750 + 0.0920936i \(0.0293559\pi\)
−0.418120 + 0.908392i \(0.637311\pi\)
\(510\) 3731.73 + 8469.13i 0.324008 + 0.735332i
\(511\) −5185.25 + 420.177i −0.448889 + 0.0363748i
\(512\) 14870.0 + 3393.98i 1.28353 + 0.292957i
\(513\) −4072.52 + 4838.04i −0.350499 + 0.416383i
\(514\) 11409.9 4478.05i 0.979121 0.384277i
\(515\) 18374.4 7211.41i 1.57218 0.617035i
\(516\) −5352.55 10039.0i −0.456653 0.856481i
\(517\) −10737.4 2450.75i −0.913409 0.208480i
\(518\) −25076.3 + 2032.01i −2.12700 + 0.172358i
\(519\) 4087.01 1800.85i 0.345664 0.152309i
\(520\) 802.183 + 1389.42i 0.0676501 + 0.117173i
\(521\) −6357.65 + 11011.8i −0.534614 + 0.925978i 0.464568 + 0.885537i \(0.346210\pi\)
−0.999182 + 0.0404410i \(0.987124\pi\)
\(522\) 18497.3 1521.44i 1.55097 0.127570i
\(523\) 7622.73 571.244i 0.637320 0.0477606i 0.247848 0.968799i \(-0.420277\pi\)
0.389472 + 0.921038i \(0.372657\pi\)
\(524\) 6216.20 7794.87i 0.518236 0.649848i
\(525\) −3139.69 15756.3i −0.261005 1.30983i
\(526\) 10001.4 + 12541.4i 0.829055 + 1.03960i
\(527\) 4636.18 + 4996.62i 0.383217 + 0.413009i
\(528\) 9329.51 3302.63i 0.768967 0.272213i
\(529\) −2006.86 + 1368.25i −0.164943 + 0.112456i
\(530\) 21744.6 + 3277.46i 1.78212 + 0.268611i
\(531\) −14475.2 + 15829.7i −1.18299 + 1.29369i
\(532\) 5126.63 + 2918.61i 0.417796 + 0.237853i
\(533\) −2897.74 + 6017.21i −0.235488 + 0.488995i
\(534\) 3066.70 + 1324.75i 0.248519 + 0.107355i
\(535\) −8578.75 + 9245.70i −0.693256 + 0.747152i
\(536\) −1776.49 133.129i −0.143158 0.0107282i
\(537\) −3232.00 + 17428.0i −0.259723 + 1.40051i
\(538\) 1127.96i 0.0903903i
\(539\) −3913.83 + 8385.50i −0.312766 + 0.670110i
\(540\) −9168.23 14244.1i −0.730626 1.13513i
\(541\) −3906.04 + 9952.42i −0.310414 + 0.790921i 0.687490 + 0.726194i \(0.258713\pi\)
−0.997903 + 0.0647265i \(0.979383\pi\)
\(542\) −1164.15 + 15534.6i −0.0922596 + 1.23112i
\(543\) 1539.81 + 959.741i 0.121694 + 0.0758498i
\(544\) −3706.94 + 5437.09i −0.292158 + 0.428517i
\(545\) 19418.2 + 9351.33i 1.52621 + 0.734985i
\(546\) −9608.12 + 1176.97i −0.753095 + 0.0922520i
\(547\) 12165.9 5858.78i 0.950961 0.457959i 0.106938 0.994266i \(-0.465895\pi\)
0.844023 + 0.536307i \(0.180181\pi\)
\(548\) −321.116 + 2130.47i −0.0250318 + 0.166075i
\(549\) −13017.9 8737.53i −1.01200 0.679251i
\(550\) 17287.8 2605.72i 1.34028 0.202015i
\(551\) 5851.66 5429.55i 0.452430 0.419794i
\(552\) −1477.44 + 1729.49i −0.113920 + 0.133355i
\(553\) 3702.91 + 15782.3i 0.284745 + 1.21362i
\(554\) 16994.6 + 13552.7i 1.30330 + 1.03935i
\(555\) 29983.6 8150.95i 2.29321 0.623403i
\(556\) −4554.81 + 14766.3i −0.347422 + 1.12632i
\(557\) 10269.9 + 5929.36i 0.781242 + 0.451050i 0.836870 0.547401i \(-0.184383\pi\)
−0.0556284 + 0.998452i \(0.517716\pi\)
\(558\) −20916.8 16433.3i −1.58688 1.24673i
\(559\) 7827.88 1786.66i 0.592279 0.135184i
\(560\) 16284.0 15293.9i 1.22880 1.15408i
\(561\) −127.099 + 3762.64i −0.00956528 + 0.283171i
\(562\) −14441.1 + 4454.50i −1.08392 + 0.334345i
\(563\) −5889.49 15006.2i −0.440875 1.12333i −0.962770 0.270321i \(-0.912870\pi\)
0.521895 0.853010i \(-0.325225\pi\)
\(564\) −12662.8 + 8020.92i −0.945394 + 0.598833i
\(565\) 5356.44 + 17365.1i 0.398844 + 1.29302i
\(566\) 2843.62 12458.7i 0.211177 0.925228i
\(567\) −13306.2 + 2286.71i −0.985553 + 0.169370i
\(568\) −473.025 2072.46i −0.0349431 0.153096i
\(569\) −22807.6 + 13168.0i −1.68039 + 0.970176i −0.718997 + 0.695013i \(0.755398\pi\)
−0.961398 + 0.275163i \(0.911268\pi\)
\(570\) −14680.8 5077.23i −1.07879 0.373091i
\(571\) −893.856 275.718i −0.0655108 0.0202074i 0.261827 0.965115i \(-0.415675\pi\)
−0.327337 + 0.944908i \(0.606151\pi\)
\(572\) −369.206 4926.71i −0.0269883 0.360133i
\(573\) −517.726 + 988.261i −0.0377457 + 0.0720509i
\(574\) 18087.0 + 4013.14i 1.31522 + 0.291821i
\(575\) −15769.2 + 12575.5i −1.14369 + 0.912061i
\(576\) 4457.69 9431.21i 0.322460 0.682234i
\(577\) 2508.65 + 16643.8i 0.180999 + 1.20085i 0.876169 + 0.482004i \(0.160091\pi\)
−0.695170 + 0.718845i \(0.744671\pi\)
\(578\) 9165.63 + 13443.5i 0.659584 + 0.967433i
\(579\) 268.118 + 6530.45i 0.0192445 + 0.468733i
\(580\) 9277.58 + 19265.1i 0.664190 + 1.37921i
\(581\) −6315.52 + 4362.11i −0.450967 + 0.311482i
\(582\) 218.188 826.285i 0.0155398 0.0588499i
\(583\) 7391.05 + 5039.13i 0.525053 + 0.357975i
\(584\) 746.092 + 692.272i 0.0528656 + 0.0490521i
\(585\) 11398.1 3606.76i 0.805559 0.254908i
\(586\) 17993.2 + 7061.83i 1.26842 + 0.497818i
\(587\) 9499.00 0.667914 0.333957 0.942588i \(-0.391616\pi\)
0.333957 + 0.942588i \(0.391616\pi\)
\(588\) 4346.37 + 11820.8i 0.304832 + 0.829049i
\(589\) −11440.7 −0.800353
\(590\) −49047.5 19249.7i −3.42246 1.34322i
\(591\) 2744.39 + 23586.5i 0.191014 + 1.64166i
\(592\) 18111.3 + 16804.8i 1.25738 + 1.16668i
\(593\) −20622.8 14060.4i −1.42812 0.973676i −0.997465 0.0711597i \(-0.977330\pi\)
−0.430656 0.902516i \(-0.641718\pi\)
\(594\) −1804.04 14580.9i −0.124614 1.00717i
\(595\) 3152.60 + 7891.82i 0.217217 + 0.543753i
\(596\) −5471.09 11360.8i −0.376014 0.780802i
\(597\) 24850.8 1020.29i 1.70364 0.0699457i
\(598\) 6845.65 + 10040.7i 0.468126 + 0.686615i
\(599\) 1399.62 + 9285.88i 0.0954707 + 0.633407i 0.984477 + 0.175512i \(0.0561582\pi\)
−0.889007 + 0.457895i \(0.848604\pi\)
\(600\) −1857.31 + 2535.80i −0.126374 + 0.172539i
\(601\) −16211.6 + 12928.3i −1.10031 + 0.877465i −0.993158 0.116779i \(-0.962743\pi\)
−0.107148 + 0.994243i \(0.534172\pi\)
\(602\) −9785.45 20008.8i −0.662500 1.35465i
\(603\) −3820.54 + 12713.2i −0.258017 + 0.858574i
\(604\) −867.522 11576.3i −0.0584420 0.779855i
\(605\) −9847.32 3037.50i −0.661736 0.204119i
\(606\) −4397.86 + 12716.4i −0.294803 + 0.852422i
\(607\) 14089.6 8134.64i 0.942141 0.543945i 0.0515100 0.998672i \(-0.483597\pi\)
0.890631 + 0.454727i \(0.150263\pi\)
\(608\) −2457.79 10768.3i −0.163942 0.718275i
\(609\) 17023.6 802.234i 1.13273 0.0533796i
\(610\) 8569.69 37546.3i 0.568814 2.49214i
\(611\) −3118.15 10108.8i −0.206459 0.669325i
\(612\) 3512.31 + 3730.63i 0.231988 + 0.246408i
\(613\) 1606.61 + 4093.57i 0.105857 + 0.269719i 0.973982 0.226627i \(-0.0727700\pi\)
−0.868125 + 0.496346i \(0.834675\pi\)
\(614\) −34940.2 + 10777.6i −2.29653 + 0.708387i
\(615\) −22868.4 772.474i −1.49942 0.0506491i
\(616\) 1726.77 544.113i 0.112944 0.0355892i
\(617\) −19688.9 + 4493.86i −1.28468 + 0.293219i −0.809733 0.586798i \(-0.800388\pi\)
−0.474942 + 0.880017i \(0.657531\pi\)
\(618\) 17605.5 15262.4i 1.14595 0.993439i
\(619\) 12491.2 + 7211.79i 0.811088 + 0.468282i 0.847334 0.531061i \(-0.178207\pi\)
−0.0362455 + 0.999343i \(0.511540\pi\)
\(620\) 9033.01 29284.3i 0.585120 1.89691i
\(621\) 10213.1 + 13527.1i 0.659965 + 0.874115i
\(622\) −27029.1 21555.0i −1.74239 1.38951i
\(623\) 2771.72 + 1314.17i 0.178245 + 0.0845123i
\(624\) 7227.84 + 6174.49i 0.463694 + 0.396117i
\(625\) 6320.31 5864.39i 0.404500 0.375321i
\(626\) 15707.6 2367.54i 1.00288 0.151160i
\(627\) −4484.47 4452.00i −0.285634 0.283566i
\(628\) 1118.64 7421.72i 0.0710809 0.471591i
\(629\) −8467.76 + 4077.86i −0.536775 + 0.258497i
\(630\) −16963.3 28497.6i −1.07275 1.80218i
\(631\) −3487.41 1679.45i −0.220018 0.105955i 0.320628 0.947205i \(-0.396106\pi\)
−0.540646 + 0.841250i \(0.681820\pi\)
\(632\) 1786.60 2620.46i 0.112448 0.164931i
\(633\) 6884.09 11044.8i 0.432256 0.693512i
\(634\) 401.638 5359.48i 0.0251594 0.335729i
\(635\) 14225.8 36246.9i 0.889032 2.26522i
\(636\) 11954.1 2306.86i 0.745301 0.143825i
\(637\) −8855.01 + 771.559i −0.550782 + 0.0479910i
\(638\) 18545.6i 1.15083i
\(639\) −15839.9 + 115.113i −0.980619 + 0.00712645i
\(640\) −7848.62 588.173i −0.484756 0.0363274i
\(641\) 3142.50 3386.81i 0.193637 0.208691i −0.628769 0.777592i \(-0.716441\pi\)
0.822406 + 0.568901i \(0.192631\pi\)
\(642\) −5904.03 + 13667.5i −0.362949 + 0.840205i
\(643\) −3582.28 + 7438.68i −0.219707 + 0.456225i −0.981466 0.191634i \(-0.938621\pi\)
0.761760 + 0.647859i \(0.224336\pi\)
\(644\) 10684.0 11655.4i 0.653742 0.713181i
\(645\) 16415.5 + 22073.9i 1.00211 + 1.34753i
\(646\) 4646.20 + 700.302i 0.282976 + 0.0426517i
\(647\) 7660.80 5223.05i 0.465498 0.317371i −0.307758 0.951465i \(-0.599579\pi\)
0.773257 + 0.634093i \(0.218626\pi\)
\(648\) 2088.88 + 1616.72i 0.126634 + 0.0980106i
\(649\) −14578.6 15712.0i −0.881759 0.950310i
\(650\) 10470.2 + 13129.2i 0.631806 + 0.792260i
\(651\) −18667.3 15752.2i −1.12385 0.948355i
\(652\) −5804.63 + 7278.77i −0.348661 + 0.437207i
\(653\) 13701.2 1026.76i 0.821085 0.0615318i 0.342439 0.939540i \(-0.388747\pi\)
0.478646 + 0.878008i \(0.341128\pi\)
\(654\) 25291.3 + 2756.62i 1.51218 + 0.164820i
\(655\) −12053.5 + 20877.3i −0.719036 + 1.24541i
\(656\) −9097.06 15756.6i −0.541434 0.937791i
\(657\) 6235.12 4317.74i 0.370251 0.256394i
\(658\) −25325.2 + 14826.7i −1.50042 + 0.878429i
\(659\) −5154.88 1176.57i −0.304713 0.0695487i 0.0674307 0.997724i \(-0.478520\pi\)
−0.372143 + 0.928175i \(0.621377\pi\)
\(660\) 14936.3 7963.61i 0.880899 0.469671i
\(661\) 12429.0 4878.03i 0.731366 0.287040i 0.0297127 0.999558i \(-0.490541\pi\)
0.701653 + 0.712518i \(0.252446\pi\)
\(662\) −38528.2 + 15121.2i −2.26199 + 0.887767i
\(663\) −3190.94 + 1701.32i −0.186917 + 0.0996590i
\(664\) 1464.02 + 334.153i 0.0855648 + 0.0195296i
\(665\) −13309.3 5130.70i −0.776108 0.299188i
\(666\) 30153.5 20880.9i 1.75439 1.21489i
\(667\) −10697.7 18528.9i −0.621012 1.07562i
\(668\) −3765.46 + 6521.97i −0.218099 + 0.377759i
\(669\) −29317.9 3195.50i −1.69432 0.184671i
\(670\) −32516.8 + 2436.80i −1.87498 + 0.140510i
\(671\) 9767.77 12248.4i 0.561968 0.704685i
\(672\) 10816.1 20954.1i 0.620893 1.20286i
\(673\) −13332.1 16717.9i −0.763616 0.957544i 0.236284 0.971684i \(-0.424070\pi\)
−0.999900 + 0.0141402i \(0.995499\pi\)
\(674\) −3085.83 3325.74i −0.176353 0.190063i
\(675\) 15470.6 + 17585.7i 0.882167 + 1.00278i
\(676\) −8906.57 + 6072.40i −0.506746 + 0.345494i
\(677\) 19602.2 + 2954.56i 1.11281 + 0.167730i 0.679615 0.733569i \(-0.262147\pi\)
0.433199 + 0.901298i \(0.357385\pi\)
\(678\) 12800.8 + 17213.1i 0.725088 + 0.975025i
\(679\) 226.760 751.262i 0.0128163 0.0424607i
\(680\) 721.385 1497.97i 0.0406822 0.0844774i
\(681\) −11019.5 + 25509.6i −0.620073 + 1.43543i
\(682\) 18078.8 19484.3i 1.01506 1.09398i
\(683\) −20272.0 1519.17i −1.13570 0.0851092i −0.506421 0.862286i \(-0.669032\pi\)
−0.629282 + 0.777177i \(0.716651\pi\)
\(684\) −8600.01 + 62.4988i −0.480745 + 0.00349372i
\(685\) 5209.55i 0.290579i
\(686\) 7694.79 + 23426.0i 0.428263 + 1.30380i
\(687\) 16567.7 3197.18i 0.920083 0.177554i
\(688\) −7991.26 + 20361.4i −0.442826 + 1.12830i
\(689\) −642.100 + 8568.22i −0.0355037 + 0.473764i
\(690\) −22022.8 + 35333.4i −1.21506 + 1.94945i
\(691\) −4898.37 + 7184.59i −0.269671 + 0.395535i −0.937057 0.349178i \(-0.886461\pi\)
0.667385 + 0.744713i \(0.267413\pi\)
\(692\) 5472.28 + 2635.31i 0.300614 + 0.144768i
\(693\) −1187.33 13438.6i −0.0650836 0.736637i
\(694\) 32716.3 15755.3i 1.78947 0.861764i
\(695\) 5568.85 36946.9i 0.303940 2.01651i
\(696\) −2366.22 2349.09i −0.128867 0.127934i
\(697\) 6843.82 1031.54i 0.371920 0.0560579i
\(698\) 9813.45 9105.55i 0.532156 0.493768i
\(699\) 4674.70 + 3993.43i 0.252952 + 0.216088i
\(700\) 13519.0 17164.5i 0.729955 0.926795i
\(701\) 14315.0 + 11415.8i 0.771283 + 0.615077i 0.928006 0.372565i \(-0.121522\pi\)
−0.156723 + 0.987643i \(0.550093\pi\)
\(702\) 11262.5 8503.28i 0.605520 0.457173i
\(703\) 4649.79 15074.2i 0.249460 0.808728i
\(704\) 9027.12 + 5211.81i 0.483271 + 0.279016i
\(705\) 27385.6 23741.0i 1.46298 1.26828i
\(706\) 5113.22 1167.06i 0.272576 0.0622137i
\(707\) −4444.18 + 11528.4i −0.236408 + 0.613254i
\(708\) −29154.6 984.817i −1.54759 0.0522764i
\(709\) 6189.00 1909.05i 0.327832 0.101123i −0.126470 0.991970i \(-0.540365\pi\)
0.454302 + 0.890848i \(0.349889\pi\)
\(710\) −14215.3 36220.1i −0.751397 1.91453i
\(711\) −16200.2 17207.1i −0.854505 0.907619i
\(712\) −176.893 573.474i −0.00931089 0.0301852i
\(713\) −6823.38 + 29895.2i −0.358398 + 1.57024i
\(714\) 6616.76 + 7539.79i 0.346815 + 0.395195i
\(715\) 2658.22 + 11646.4i 0.139038 + 0.609164i
\(716\) −20875.8 + 12052.6i −1.08962 + 0.629090i
\(717\) 8879.70 25675.6i 0.462508 1.33734i
\(718\) −36780.3 11345.2i −1.91174 0.589694i
\(719\) −1153.97 15398.6i −0.0598549 0.798708i −0.943674 0.330878i \(-0.892655\pi\)
0.883819 0.467830i \(-0.154964\pi\)
\(720\) −9373.35 + 31190.6i −0.485173 + 1.61445i
\(721\) 16646.3 13440.8i 0.859837 0.694258i
\(722\) 14649.2 11682.4i 0.755107 0.602178i
\(723\) 2643.33 3608.96i 0.135970 0.185641i
\(724\) 367.765 + 2439.96i 0.0188783 + 0.125249i
\(725\) −16654.8 24428.1i −0.853163 1.25136i
\(726\) −12154.1 + 499.007i −0.621326 + 0.0255095i
\(727\) 3767.08 + 7822.42i 0.192178 + 0.399061i 0.974686 0.223579i \(-0.0717742\pi\)
−0.782508 + 0.622640i \(0.786060\pi\)
\(728\) 1281.91 + 1175.07i 0.0652621 + 0.0598230i
\(729\) 15117.6 12604.7i 0.768054 0.640385i
\(730\) 15392.5 + 10494.4i 0.780413 + 0.532077i
\(731\) −6099.54 5659.54i −0.308618 0.286355i
\(732\) −2464.25 21178.8i −0.124428 1.06939i
\(733\) −15864.6 6226.41i −0.799418 0.313748i −0.0697627 0.997564i \(-0.522224\pi\)
−0.729655 + 0.683815i \(0.760319\pi\)
\(734\) −5626.80 −0.282955
\(735\) −14651.9 26696.5i −0.735295 1.33975i
\(736\) −29603.9 −1.48263
\(737\) −12347.7 4846.12i −0.617143 0.242211i
\(738\) −25751.1 + 8148.58i −1.28443 + 0.406441i
\(739\) −18242.2 16926.3i −0.908052 0.842549i 0.0799804 0.996796i \(-0.474514\pi\)
−0.988032 + 0.154247i \(0.950705\pi\)
\(740\) 34913.6 + 23803.7i 1.73439 + 1.18249i
\(741\) 1549.62 5868.46i 0.0768240 0.290935i
\(742\) 23547.3 3695.17i 1.16502 0.182822i
\(743\) 8926.73 + 18536.5i 0.440767 + 0.915262i 0.996475 + 0.0838848i \(0.0267328\pi\)
−0.555709 + 0.831377i \(0.687553\pi\)
\(744\) 196.031 + 4774.66i 0.00965974 + 0.235279i
\(745\) 17175.2 + 25191.4i 0.844634 + 1.23885i
\(746\) −190.913 1266.62i −0.00936973 0.0621641i
\(747\) 4781.71 10116.7i 0.234208 0.495518i
\(748\) −4002.92 + 3192.23i −0.195670 + 0.156042i
\(749\) −5856.90 + 12352.8i −0.285723 + 0.602620i
\(750\) −6708.37 + 12805.3i −0.326607 + 0.623443i
\(751\) −2357.70 31461.3i −0.114559 1.52868i −0.697746 0.716345i \(-0.745814\pi\)
0.583187 0.812338i \(-0.301805\pi\)
\(752\) 27538.8 + 8494.59i 1.33542 + 0.411923i
\(753\) 19111.2 + 6609.45i 0.924902 + 0.319870i
\(754\) −15426.9 + 8906.71i −0.745111 + 0.430190i
\(755\) 6246.02 + 27365.6i 0.301081 + 1.31912i
\(756\) −14118.3 11739.0i −0.679201 0.564739i
\(757\) −6361.94 + 27873.5i −0.305454 + 1.33828i 0.556311 + 0.830974i \(0.312216\pi\)
−0.861765 + 0.507308i \(0.830641\pi\)
\(758\) 15483.2 + 50195.4i 0.741921 + 2.40525i
\(759\) −14307.9 + 9062.91i −0.684246 + 0.433416i
\(760\) 1019.54 + 2597.75i 0.0486615 + 0.123987i
\(761\) 16287.0 5023.87i 0.775825 0.239310i 0.118537 0.992950i \(-0.462180\pi\)
0.657288 + 0.753639i \(0.271704\pi\)
\(762\) 1551.73 45937.5i 0.0737707 2.18391i
\(763\) 23120.9 + 3341.83i 1.09703 + 0.158561i
\(764\) −1479.20 + 337.619i −0.0700468 + 0.0159877i
\(765\) −9742.17 7653.97i −0.460430 0.361738i
\(766\) −5090.52 2939.01i −0.240115 0.138630i
\(767\) 6068.28 19672.9i 0.285675 0.926137i
\(768\) −24463.3 + 6650.30i −1.14941 + 0.312463i
\(769\) 2973.43 + 2371.23i 0.139434 + 0.111195i 0.690723 0.723120i \(-0.257292\pi\)
−0.551289 + 0.834314i \(0.685864\pi\)
\(770\) 29769.4 14559.0i 1.39327 0.681387i
\(771\) −10657.7 + 12475.9i −0.497832 + 0.582761i
\(772\) −6515.79 +