Properties

Label 36.5.f.a.7.19
Level 36
Weight 5
Character 36.7
Analytic conductor 3.721
Analytic rank 0
Dimension 44
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 36 = 2^{2} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 36.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.72131867102\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 7.19
Character \(\chi\) \(=\) 36.7
Dual form 36.5.f.a.31.19

$q$-expansion

\(f(q)\) \(=\) \(q+(3.61656 + 1.70894i) q^{2} +(8.99820 - 0.179896i) q^{3} +(10.1591 + 12.3610i) q^{4} +(-2.83091 - 4.90328i) q^{5} +(32.8500 + 14.7267i) q^{6} +(-45.1595 - 26.0728i) q^{7} +(15.6169 + 62.0654i) q^{8} +(80.9353 - 3.23749i) q^{9} +O(q^{10})\) \(q+(3.61656 + 1.70894i) q^{2} +(8.99820 - 0.179896i) q^{3} +(10.1591 + 12.3610i) q^{4} +(-2.83091 - 4.90328i) q^{5} +(32.8500 + 14.7267i) q^{6} +(-45.1595 - 26.0728i) q^{7} +(15.6169 + 62.0654i) q^{8} +(80.9353 - 3.23749i) q^{9} +(-1.85878 - 22.5709i) q^{10} +(-92.3736 - 53.3319i) q^{11} +(93.6371 + 109.399i) q^{12} +(61.0686 + 105.774i) q^{13} +(-118.765 - 171.469i) q^{14} +(-26.3552 - 43.6114i) q^{15} +(-49.5864 + 251.152i) q^{16} -122.675 q^{17} +(298.240 + 126.605i) q^{18} -593.624i q^{19} +(31.8498 - 84.8055i) q^{20} +(-411.044 - 226.484i) q^{21} +(-242.934 - 350.739i) q^{22} +(-473.649 + 273.461i) q^{23} +(151.689 + 555.668i) q^{24} +(296.472 - 513.504i) q^{25} +(40.0976 + 486.900i) q^{26} +(727.690 - 43.6915i) q^{27} +(-136.493 - 823.090i) q^{28} +(-367.933 + 637.279i) q^{29} +(-20.7861 - 202.763i) q^{30} +(-507.427 + 292.963i) q^{31} +(-608.535 + 823.566i) q^{32} +(-840.791 - 463.274i) q^{33} +(-443.662 - 209.644i) q^{34} +295.239i q^{35} +(862.246 + 967.547i) q^{36} +2289.29 q^{37} +(1014.47 - 2146.88i) q^{38} +(568.535 + 940.788i) q^{39} +(260.114 - 252.275i) q^{40} +(1434.13 + 2483.99i) q^{41} +(-1099.52 - 1521.54i) q^{42} +(1943.81 + 1122.26i) q^{43} +(-279.197 - 1683.63i) q^{44} +(-244.995 - 387.683i) q^{45} +(-2180.31 + 179.555i) q^{46} +(913.531 + 527.427i) q^{47} +(-401.007 + 2268.83i) q^{48} +(159.084 + 275.542i) q^{49} +(1949.76 - 1350.47i) q^{50} +(-1103.85 + 22.0688i) q^{51} +(-687.066 + 1829.43i) q^{52} -4752.60 q^{53} +(2706.40 + 1085.56i) q^{54} +603.911i q^{55} +(912.971 - 3210.02i) q^{56} +(-106.791 - 5341.55i) q^{57} +(-2419.72 + 1675.99i) q^{58} +(1864.25 - 1076.32i) q^{59} +(271.335 - 768.827i) q^{60} +(33.1660 - 57.4451i) q^{61} +(-2335.80 + 192.360i) q^{62} +(-3739.40 - 1964.01i) q^{63} +(-3608.23 + 1938.53i) q^{64} +(345.759 - 598.872i) q^{65} +(-2249.07 - 3112.32i) q^{66} +(-3554.82 + 2052.38i) q^{67} +(-1246.26 - 1516.38i) q^{68} +(-4212.79 + 2545.87i) q^{69} +(-504.545 + 1067.75i) q^{70} -5031.65i q^{71} +(1464.89 + 4972.72i) q^{72} +2705.16 q^{73} +(8279.36 + 3912.25i) q^{74} +(2575.34 - 4673.95i) q^{75} +(7337.76 - 6030.67i) q^{76} +(2781.03 + 4816.88i) q^{77} +(448.398 + 4374.01i) q^{78} +(1196.02 + 690.524i) q^{79} +(1371.84 - 467.852i) q^{80} +(6540.04 - 524.053i) q^{81} +(941.652 + 11434.4i) q^{82} +(-2605.31 - 1504.18i) q^{83} +(-1376.27 - 7381.77i) q^{84} +(347.282 + 601.509i) q^{85} +(5112.05 + 7380.57i) q^{86} +(-3196.09 + 5800.55i) q^{87} +(1867.48 - 6566.08i) q^{88} +3186.35 q^{89} +(-223.513 - 1820.76i) q^{90} -6368.92i q^{91} +(-8192.07 - 3076.64i) q^{92} +(-4513.23 + 2727.43i) q^{93} +(2402.50 + 3468.64i) q^{94} +(-2910.71 + 1680.50i) q^{95} +(-5327.56 + 7520.09i) q^{96} +(2407.03 - 4169.10i) q^{97} +(104.455 + 1268.38i) q^{98} +(-7648.94 - 4017.38i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - q^{2} - q^{4} - 2q^{5} + 15q^{6} + 122q^{8} - 60q^{9} + O(q^{10}) \) \( 44q - q^{2} - q^{4} - 2q^{5} + 15q^{6} + 122q^{8} - 60q^{9} + 28q^{10} - 228q^{12} - 2q^{13} + 252q^{14} - q^{16} - 56q^{17} + 72q^{18} - 140q^{20} + 138q^{21} - 33q^{22} - 951q^{24} - 1752q^{25} + 1096q^{26} - 516q^{28} + 526q^{29} - 1980q^{30} - 121q^{32} + 2994q^{33} + 385q^{34} - 1005q^{36} - 8q^{37} + 1395q^{38} - 2276q^{40} - 2762q^{41} + 3330q^{42} + 6714q^{44} + 4110q^{45} + 3576q^{46} + 2163q^{48} + 3428q^{49} + 6375q^{50} + 1438q^{52} - 10088q^{53} - 4983q^{54} - 7506q^{56} + 1752q^{57} - 4064q^{58} - 16392q^{60} - 2q^{61} - 18324q^{62} + 9026q^{64} - 2014q^{65} - 17358q^{66} - 11405q^{68} + 3354q^{69} + 3666q^{70} + 4083q^{72} - 3416q^{73} + 14620q^{74} + 1581q^{76} - 3942q^{77} + 34566q^{78} + 45520q^{80} - 1164q^{81} - 8486q^{82} + 51078q^{84} - 1252q^{85} + 22113q^{86} + 1995q^{88} + 13048q^{89} - 4692q^{90} - 30294q^{92} + 12090q^{93} + 7524q^{94} - 76164q^{96} + 5638q^{97} - 92938q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).

\(n\) \(19\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.61656 + 1.70894i 0.904141 + 0.427234i
\(3\) 8.99820 0.179896i 0.999800 0.0199885i
\(4\) 10.1591 + 12.3610i 0.634942 + 0.772560i
\(5\) −2.83091 4.90328i −0.113236 0.196131i 0.803837 0.594850i \(-0.202788\pi\)
−0.917073 + 0.398718i \(0.869455\pi\)
\(6\) 32.8500 + 14.7267i 0.912500 + 0.409076i
\(7\) −45.1595 26.0728i −0.921621 0.532098i −0.0374695 0.999298i \(-0.511930\pi\)
−0.884152 + 0.467199i \(0.845263\pi\)
\(8\) 15.6169 + 62.0654i 0.244014 + 0.969772i
\(9\) 80.9353 3.23749i 0.999201 0.0399690i
\(10\) −1.85878 22.5709i −0.0185878 0.225709i
\(11\) −92.3736 53.3319i −0.763418 0.440760i 0.0671034 0.997746i \(-0.478624\pi\)
−0.830522 + 0.556986i \(0.811958\pi\)
\(12\) 93.6371 + 109.399i 0.650258 + 0.759714i
\(13\) 61.0686 + 105.774i 0.361352 + 0.625881i 0.988184 0.153274i \(-0.0489818\pi\)
−0.626831 + 0.779155i \(0.715648\pi\)
\(14\) −118.765 171.469i −0.605945 0.874840i
\(15\) −26.3552 43.6114i −0.117134 0.193829i
\(16\) −49.5864 + 251.152i −0.193697 + 0.981061i
\(17\) −122.675 −0.424481 −0.212240 0.977217i \(-0.568076\pi\)
−0.212240 + 0.977217i \(0.568076\pi\)
\(18\) 298.240 + 126.605i 0.920495 + 0.390755i
\(19\) 593.624i 1.64439i −0.569207 0.822194i \(-0.692750\pi\)
0.569207 0.822194i \(-0.307250\pi\)
\(20\) 31.8498 84.8055i 0.0796244 0.212014i
\(21\) −411.044 226.484i −0.932073 0.513570i
\(22\) −242.934 350.739i −0.501930 0.724667i
\(23\) −473.649 + 273.461i −0.895366 + 0.516940i −0.875694 0.482867i \(-0.839596\pi\)
−0.0196720 + 0.999806i \(0.506262\pi\)
\(24\) 151.689 + 555.668i 0.263349 + 0.964701i
\(25\) 296.472 513.504i 0.474355 0.821607i
\(26\) 40.0976 + 486.900i 0.0593160 + 0.720266i
\(27\) 727.690 43.6915i 0.998202 0.0599335i
\(28\) −136.493 823.090i −0.174099 1.04986i
\(29\) −367.933 + 637.279i −0.437495 + 0.757763i −0.997496 0.0707290i \(-0.977467\pi\)
0.560001 + 0.828492i \(0.310801\pi\)
\(30\) −20.7861 202.763i −0.0230956 0.225292i
\(31\) −507.427 + 292.963i −0.528020 + 0.304853i −0.740210 0.672376i \(-0.765274\pi\)
0.212190 + 0.977228i \(0.431941\pi\)
\(32\) −608.535 + 823.566i −0.594272 + 0.804264i
\(33\) −840.791 463.274i −0.772076 0.425412i
\(34\) −443.662 209.644i −0.383791 0.181353i
\(35\) 295.239i 0.241012i
\(36\) 862.246 + 967.547i 0.665313 + 0.746564i
\(37\) 2289.29 1.67223 0.836117 0.548551i \(-0.184820\pi\)
0.836117 + 0.548551i \(0.184820\pi\)
\(38\) 1014.47 2146.88i 0.702539 1.48676i
\(39\) 568.535 + 940.788i 0.373791 + 0.618533i
\(40\) 260.114 252.275i 0.162571 0.157672i
\(41\) 1434.13 + 2483.99i 0.853142 + 1.47769i 0.878358 + 0.478004i \(0.158640\pi\)
−0.0252152 + 0.999682i \(0.508027\pi\)
\(42\) −1099.52 1521.54i −0.623311 0.862553i
\(43\) 1943.81 + 1122.26i 1.05128 + 0.606955i 0.923007 0.384784i \(-0.125724\pi\)
0.128270 + 0.991739i \(0.459057\pi\)
\(44\) −279.197 1683.63i −0.144213 0.869643i
\(45\) −244.995 387.683i −0.120985 0.191448i
\(46\) −2180.31 + 179.555i −1.03039 + 0.0848557i
\(47\) 913.531 + 527.427i 0.413550 + 0.238763i 0.692314 0.721597i \(-0.256591\pi\)
−0.278764 + 0.960360i \(0.589925\pi\)
\(48\) −401.007 + 2268.83i −0.174048 + 0.984737i
\(49\) 159.084 + 275.542i 0.0662574 + 0.114761i
\(50\) 1949.76 1350.47i 0.779902 0.540188i
\(51\) −1103.85 + 22.0688i −0.424396 + 0.00848472i
\(52\) −687.066 + 1829.43i −0.254092 + 0.676564i
\(53\) −4752.60 −1.69192 −0.845960 0.533246i \(-0.820972\pi\)
−0.845960 + 0.533246i \(0.820972\pi\)
\(54\) 2706.40 + 1085.56i 0.928121 + 0.372278i
\(55\) 603.911i 0.199640i
\(56\) 912.971 3210.02i 0.291126 1.02360i
\(57\) −106.791 5341.55i −0.0328688 1.64406i
\(58\) −2419.72 + 1675.99i −0.719299 + 0.498212i
\(59\) 1864.25 1076.32i 0.535549 0.309200i −0.207724 0.978188i \(-0.566606\pi\)
0.743273 + 0.668988i \(0.233272\pi\)
\(60\) 271.335 768.827i 0.0753707 0.213563i
\(61\) 33.1660 57.4451i 0.00891319 0.0154381i −0.861534 0.507699i \(-0.830496\pi\)
0.870448 + 0.492261i \(0.163829\pi\)
\(62\) −2335.80 + 192.360i −0.607648 + 0.0500416i
\(63\) −3739.40 1964.01i −0.942152 0.494837i
\(64\) −3608.23 + 1938.53i −0.880915 + 0.473275i
\(65\) 345.759 598.872i 0.0818365 0.141745i
\(66\) −2249.07 3112.32i −0.516315 0.714490i
\(67\) −3554.82 + 2052.38i −0.791897 + 0.457202i −0.840630 0.541610i \(-0.817815\pi\)
0.0487331 + 0.998812i \(0.484482\pi\)
\(68\) −1246.26 1516.38i −0.269521 0.327937i
\(69\) −4212.79 + 2545.87i −0.884854 + 0.534733i
\(70\) −504.545 + 1067.75i −0.102968 + 0.217908i
\(71\) 5031.65i 0.998145i −0.866560 0.499072i \(-0.833674\pi\)
0.866560 0.499072i \(-0.166326\pi\)
\(72\) 1464.89 + 4972.72i 0.282579 + 0.959244i
\(73\) 2705.16 0.507631 0.253815 0.967253i \(-0.418314\pi\)
0.253815 + 0.967253i \(0.418314\pi\)
\(74\) 8279.36 + 3912.25i 1.51194 + 0.714435i
\(75\) 2575.34 4673.95i 0.457838 0.830925i
\(76\) 7337.76 6030.67i 1.27039 1.04409i
\(77\) 2781.03 + 4816.88i 0.469055 + 0.812427i
\(78\) 448.398 + 4374.01i 0.0737012 + 0.718937i
\(79\) 1196.02 + 690.524i 0.191639 + 0.110643i 0.592750 0.805387i \(-0.298042\pi\)
−0.401110 + 0.916030i \(0.631376\pi\)
\(80\) 1371.84 467.852i 0.214350 0.0731019i
\(81\) 6540.04 524.053i 0.996805 0.0798740i
\(82\) 941.652 + 11434.4i 0.140043 + 1.70053i
\(83\) −2605.31 1504.18i −0.378184 0.218345i 0.298844 0.954302i \(-0.403399\pi\)
−0.677028 + 0.735957i \(0.736732\pi\)
\(84\) −1376.27 7381.77i −0.195049 1.04617i
\(85\) 347.282 + 601.509i 0.0480667 + 0.0832539i
\(86\) 5112.05 + 7380.57i 0.691191 + 0.997914i
\(87\) −3196.09 + 5800.55i −0.422261 + 0.766356i
\(88\) 1867.48 6566.08i 0.241152 0.847893i
\(89\) 3186.35 0.402267 0.201133 0.979564i \(-0.435538\pi\)
0.201133 + 0.979564i \(0.435538\pi\)
\(90\) −223.513 1820.76i −0.0275942 0.224785i
\(91\) 6368.92i 0.769100i
\(92\) −8192.07 3076.64i −0.967872 0.363497i
\(93\) −4513.23 + 2727.43i −0.521821 + 0.315346i
\(94\) 2402.50 + 3468.64i 0.271899 + 0.392558i
\(95\) −2910.71 + 1680.50i −0.322516 + 0.186205i
\(96\) −5327.56 + 7520.09i −0.578077 + 0.815982i
\(97\) 2407.03 4169.10i 0.255822 0.443097i −0.709296 0.704910i \(-0.750987\pi\)
0.965118 + 0.261814i \(0.0843206\pi\)
\(98\) 104.455 + 1268.38i 0.0108762 + 0.132068i
\(99\) −7648.94 4017.38i −0.780425 0.409895i
\(100\) 9359.28 1552.05i 0.935928 0.155205i
\(101\) 3510.47 6080.30i 0.344130 0.596050i −0.641066 0.767486i \(-0.721507\pi\)
0.985195 + 0.171436i \(0.0548407\pi\)
\(102\) −4029.87 1806.60i −0.387339 0.173645i
\(103\) 1858.85 1073.21i 0.175214 0.101160i −0.409828 0.912163i \(-0.634411\pi\)
0.585042 + 0.811003i \(0.301078\pi\)
\(104\) −5611.20 + 5442.10i −0.518787 + 0.503153i
\(105\) 53.1124 + 2656.62i 0.00481745 + 0.240963i
\(106\) −17188.1 8121.90i −1.52973 0.722846i
\(107\) 13846.7i 1.20943i 0.796443 + 0.604713i \(0.206712\pi\)
−0.796443 + 0.604713i \(0.793288\pi\)
\(108\) 7932.72 + 8551.07i 0.680103 + 0.733117i
\(109\) −19384.9 −1.63159 −0.815793 0.578344i \(-0.803699\pi\)
−0.815793 + 0.578344i \(0.803699\pi\)
\(110\) −1032.05 + 2184.08i −0.0852930 + 0.180503i
\(111\) 20599.5 411.834i 1.67190 0.0334254i
\(112\) 8787.53 10049.0i 0.700536 0.801102i
\(113\) −6817.20 11807.7i −0.533887 0.924719i −0.999216 0.0395818i \(-0.987397\pi\)
0.465329 0.885138i \(-0.345936\pi\)
\(114\) 8742.15 19500.6i 0.672680 1.50050i
\(115\) 2681.71 + 1548.29i 0.202776 + 0.117073i
\(116\) −11615.2 + 1926.16i −0.863201 + 0.143145i
\(117\) 5285.04 + 8363.13i 0.386079 + 0.610938i
\(118\) 8581.54 706.715i 0.616313 0.0507551i
\(119\) 5539.93 + 3198.48i 0.391211 + 0.225866i
\(120\) 2295.17 2316.82i 0.159387 0.160890i
\(121\) −1631.91 2826.55i −0.111462 0.193057i
\(122\) 218.117 151.076i 0.0146545 0.0101502i
\(123\) 13351.5 + 22093.5i 0.882509 + 1.46034i
\(124\) −8776.30 3296.05i −0.570779 0.214363i
\(125\) −6895.78 −0.441330
\(126\) −10167.4 13493.4i −0.640428 0.849922i
\(127\) 15689.6i 0.972754i −0.873749 0.486377i \(-0.838318\pi\)
0.873749 0.486377i \(-0.161682\pi\)
\(128\) −16362.2 + 844.606i −0.998670 + 0.0515506i
\(129\) 17692.7 + 9748.64i 1.06320 + 0.585820i
\(130\) 2273.89 1574.98i 0.134550 0.0931941i
\(131\) −7250.25 + 4185.93i −0.422484 + 0.243921i −0.696140 0.717907i \(-0.745101\pi\)
0.273656 + 0.961828i \(0.411767\pi\)
\(132\) −2815.15 15099.4i −0.161567 0.866587i
\(133\) −15477.5 + 26807.7i −0.874977 + 1.51550i
\(134\) −16363.6 + 1347.59i −0.911319 + 0.0750497i
\(135\) −2274.25 3444.38i −0.124788 0.188992i
\(136\) −1915.80 7613.87i −0.103579 0.411650i
\(137\) 14965.1 25920.4i 0.797333 1.38102i −0.124014 0.992280i \(-0.539577\pi\)
0.921347 0.388741i \(-0.127090\pi\)
\(138\) −19586.5 + 2007.90i −1.02849 + 0.105435i
\(139\) −20651.8 + 11923.3i −1.06888 + 0.617118i −0.927875 0.372891i \(-0.878367\pi\)
−0.141005 + 0.990009i \(0.545033\pi\)
\(140\) −3649.44 + 2999.36i −0.186196 + 0.153028i
\(141\) 8315.02 + 4581.56i 0.418239 + 0.230449i
\(142\) 8598.76 18197.3i 0.426441 0.902464i
\(143\) 13027.6i 0.637078i
\(144\) −3200.19 + 20487.6i −0.154330 + 0.988019i
\(145\) 4166.34 0.198161
\(146\) 9783.40 + 4622.95i 0.458970 + 0.216877i
\(147\) 1481.04 + 2450.76i 0.0685381 + 0.113414i
\(148\) 23257.0 + 28297.8i 1.06177 + 1.29190i
\(149\) −2636.98 4567.39i −0.118778 0.205729i 0.800506 0.599325i \(-0.204564\pi\)
−0.919284 + 0.393596i \(0.871231\pi\)
\(150\) 17301.4 12502.6i 0.768949 0.555669i
\(151\) 28946.1 + 16712.0i 1.26951 + 0.732951i 0.974895 0.222665i \(-0.0714756\pi\)
0.294614 + 0.955616i \(0.404809\pi\)
\(152\) 36843.5 9270.55i 1.59468 0.401253i
\(153\) −9928.73 + 397.158i −0.424142 + 0.0169661i
\(154\) 1826.02 + 22173.2i 0.0769954 + 0.934945i
\(155\) 2872.96 + 1658.71i 0.119582 + 0.0690408i
\(156\) −5853.25 + 16585.2i −0.240518 + 0.681508i
\(157\) −8500.73 14723.7i −0.344871 0.597334i 0.640459 0.767992i \(-0.278744\pi\)
−0.985330 + 0.170658i \(0.945411\pi\)
\(158\) 3145.43 + 4541.25i 0.125999 + 0.181912i
\(159\) −42764.9 + 854.976i −1.69158 + 0.0338189i
\(160\) 5760.88 + 652.373i 0.225034 + 0.0254833i
\(161\) 28519.6 1.10025
\(162\) 24548.0 + 9281.23i 0.935377 + 0.353652i
\(163\) 30843.8i 1.16089i −0.814298 0.580447i \(-0.802878\pi\)
0.814298 0.580447i \(-0.197122\pi\)
\(164\) −16135.0 + 42962.3i −0.599904 + 1.59735i
\(165\) 108.641 + 5434.12i 0.00399050 + 0.199600i
\(166\) −6851.74 9892.27i −0.248648 0.358988i
\(167\) 13682.1 7899.35i 0.490591 0.283243i −0.234229 0.972181i \(-0.575257\pi\)
0.724819 + 0.688939i \(0.241923\pi\)
\(168\) 7637.63 29048.6i 0.270607 1.02922i
\(169\) 6821.76 11815.6i 0.238849 0.413698i
\(170\) 228.025 + 2768.88i 0.00789015 + 0.0958090i
\(171\) −1921.85 48045.1i −0.0657245 1.64307i
\(172\) 5875.12 + 35428.5i 0.198591 + 1.19756i
\(173\) −23531.4 + 40757.6i −0.786241 + 1.36181i 0.142015 + 0.989865i \(0.454642\pi\)
−0.928255 + 0.371944i \(0.878691\pi\)
\(174\) −21471.6 + 15516.2i −0.709197 + 0.512490i
\(175\) −26777.0 + 15459.7i −0.874352 + 0.504807i
\(176\) 17974.9 20555.3i 0.580284 0.663586i
\(177\) 16581.3 10020.4i 0.529262 0.319843i
\(178\) 11523.7 + 5445.28i 0.363706 + 0.171862i
\(179\) 2545.69i 0.0794511i −0.999211 0.0397256i \(-0.987352\pi\)
0.999211 0.0397256i \(-0.0126484\pi\)
\(180\) 2303.21 6966.87i 0.0710869 0.215027i
\(181\) 5676.58 0.173272 0.0866362 0.996240i \(-0.472388\pi\)
0.0866362 + 0.996240i \(0.472388\pi\)
\(182\) 10884.1 23033.6i 0.328586 0.695375i
\(183\) 288.100 522.869i 0.00860282 0.0156132i
\(184\) −24369.4 25126.6i −0.719795 0.742160i
\(185\) −6480.77 11225.0i −0.189358 0.327977i
\(186\) −20983.4 + 2151.09i −0.606526 + 0.0621775i
\(187\) 11331.9 + 6542.49i 0.324056 + 0.187094i
\(188\) 2761.12 + 16650.3i 0.0781214 + 0.471092i
\(189\) −34001.2 16999.8i −0.951855 0.475906i
\(190\) −13398.6 + 1103.41i −0.371153 + 0.0305655i
\(191\) −28127.2 16239.2i −0.771009 0.445142i 0.0622257 0.998062i \(-0.480180\pi\)
−0.833234 + 0.552920i \(0.813513\pi\)
\(192\) −32118.8 + 18092.4i −0.871279 + 0.490789i
\(193\) −393.717 681.937i −0.0105699 0.0183075i 0.860692 0.509126i \(-0.170031\pi\)
−0.871262 + 0.490818i \(0.836698\pi\)
\(194\) 15829.9 10964.3i 0.420605 0.291326i
\(195\) 3003.47 5450.97i 0.0789868 0.143352i
\(196\) −1789.81 + 4765.68i −0.0465903 + 0.124055i
\(197\) 24825.9 0.639694 0.319847 0.947469i \(-0.396368\pi\)
0.319847 + 0.947469i \(0.396368\pi\)
\(198\) −20797.5 27600.7i −0.530493 0.704027i
\(199\) 12008.5i 0.303237i 0.988439 + 0.151619i \(0.0484485\pi\)
−0.988439 + 0.151619i \(0.951551\pi\)
\(200\) 36500.8 + 10381.3i 0.912520 + 0.259533i
\(201\) −31617.8 + 19107.2i −0.782600 + 0.472939i
\(202\) 23086.7 15990.7i 0.565794 0.391889i
\(203\) 33231.3 19186.1i 0.806409 0.465580i
\(204\) −11486.9 13420.5i −0.276022 0.322484i
\(205\) 8119.80 14063.9i 0.193213 0.334656i
\(206\) 8556.69 704.668i 0.201638 0.0166054i
\(207\) −37449.5 + 23666.1i −0.873989 + 0.552313i
\(208\) −29593.5 + 10092.5i −0.684020 + 0.233278i
\(209\) −31659.1 + 54835.2i −0.724780 + 1.25536i
\(210\) −4347.91 + 9698.61i −0.0985921 + 0.219923i
\(211\) −25764.7 + 14875.2i −0.578708 + 0.334117i −0.760620 0.649198i \(-0.775105\pi\)
0.181912 + 0.983315i \(0.441771\pi\)
\(212\) −48282.1 58746.7i −1.07427 1.30711i
\(213\) −905.174 45275.8i −0.0199514 0.997945i
\(214\) −23663.2 + 50077.6i −0.516708 + 1.09349i
\(215\) 12708.1i 0.274917i
\(216\) 14076.0 + 44482.0i 0.301697 + 0.953404i
\(217\) 30553.5 0.648846
\(218\) −70106.6 33127.5i −1.47518 0.697069i
\(219\) 24341.6 486.649i 0.507529 0.0101468i
\(220\) −7464.92 + 6135.18i −0.154234 + 0.126760i
\(221\) −7491.58 12975.8i −0.153387 0.265674i
\(222\) 75203.1 + 33713.8i 1.52591 + 0.684071i
\(223\) 45854.8 + 26474.3i 0.922093 + 0.532371i 0.884302 0.466915i \(-0.154635\pi\)
0.0377910 + 0.999286i \(0.487968\pi\)
\(224\) 48953.8 21325.6i 0.975642 0.425016i
\(225\) 22332.6 42520.4i 0.441137 0.839910i
\(226\) −4476.18 54353.6i −0.0876376 1.06417i
\(227\) 32593.5 + 18817.9i 0.632528 + 0.365190i 0.781730 0.623616i \(-0.214337\pi\)
−0.149203 + 0.988807i \(0.547671\pi\)
\(228\) 64941.8 55585.3i 1.24926 1.06928i
\(229\) 28619.2 + 49569.9i 0.545741 + 0.945251i 0.998560 + 0.0536486i \(0.0170851\pi\)
−0.452819 + 0.891603i \(0.649582\pi\)
\(230\) 7052.66 + 10182.4i 0.133321 + 0.192483i
\(231\) 25890.8 + 42843.0i 0.485201 + 0.802889i
\(232\) −45298.9 12883.6i −0.841612 0.239366i
\(233\) −36468.7 −0.671751 −0.335876 0.941906i \(-0.609032\pi\)
−0.335876 + 0.941906i \(0.609032\pi\)
\(234\) 4821.64 + 39277.6i 0.0880569 + 0.717320i
\(235\) 5972.39i 0.108147i
\(236\) 32243.4 + 12109.4i 0.578918 + 0.217420i
\(237\) 10886.3 + 5998.31i 0.193813 + 0.106790i
\(238\) 14569.5 + 21034.9i 0.257212 + 0.371353i
\(239\) −45342.6 + 26178.6i −0.793799 + 0.458300i −0.841298 0.540571i \(-0.818208\pi\)
0.0474993 + 0.998871i \(0.484875\pi\)
\(240\) 12259.9 4456.61i 0.212846 0.0773718i
\(241\) 6755.56 11701.0i 0.116313 0.201460i −0.801991 0.597336i \(-0.796226\pi\)
0.918304 + 0.395877i \(0.129559\pi\)
\(242\) −1071.51 13011.2i −0.0182964 0.222171i
\(243\) 58754.3 5892.07i 0.995009 0.0997827i
\(244\) 1047.01 173.627i 0.0175862 0.00291633i
\(245\) 900.705 1560.07i 0.0150055 0.0259903i
\(246\) 10530.2 + 102719.i 0.174006 + 1.69739i
\(247\) 62789.9 36251.8i 1.02919 0.594204i
\(248\) −26107.3 26918.5i −0.424482 0.437671i
\(249\) −23713.7 13066.2i −0.382473 0.210742i
\(250\) −24939.0 11784.4i −0.399024 0.188551i
\(251\) 111309.i 1.76678i 0.468635 + 0.883392i \(0.344746\pi\)
−0.468635 + 0.883392i \(0.655254\pi\)
\(252\) −13711.9 66175.1i −0.215921 1.04206i
\(253\) 58336.8 0.911385
\(254\) 26812.4 56742.3i 0.415594 0.879507i
\(255\) 3233.12 + 5350.03i 0.0497212 + 0.0822765i
\(256\) −60618.4 24907.4i −0.924963 0.380057i
\(257\) 36956.5 + 64010.6i 0.559532 + 0.969138i 0.997535 + 0.0701645i \(0.0223524\pi\)
−0.438003 + 0.898973i \(0.644314\pi\)
\(258\) 47327.0 + 65492.2i 0.710999 + 0.983899i
\(259\) −103383. 59688.2i −1.54117 0.889793i
\(260\) 10915.2 1810.08i 0.161468 0.0267763i
\(261\) −27715.6 + 52769.5i −0.406858 + 0.774644i
\(262\) −33374.5 + 2748.48i −0.486197 + 0.0400397i
\(263\) −6380.84 3683.98i −0.0922500 0.0532606i 0.453165 0.891426i \(-0.350295\pi\)
−0.545415 + 0.838166i \(0.683628\pi\)
\(264\) 15622.8 59418.9i 0.224156 0.852544i
\(265\) 13454.2 + 23303.3i 0.191587 + 0.331838i
\(266\) −101788. + 70502.0i −1.43858 + 0.996410i
\(267\) 28671.5 573.213i 0.402186 0.00804069i
\(268\) −61483.1 23090.8i −0.856024 0.321491i
\(269\) −38604.8 −0.533502 −0.266751 0.963765i \(-0.585950\pi\)
−0.266751 + 0.963765i \(0.585950\pi\)
\(270\) −2338.77 16343.4i −0.0320818 0.224189i
\(271\) 12540.3i 0.170753i 0.996349 + 0.0853767i \(0.0272094\pi\)
−0.996349 + 0.0853767i \(0.972791\pi\)
\(272\) 6083.01 30810.0i 0.0822206 0.416442i
\(273\) −1145.74 57308.8i −0.0153731 0.768946i
\(274\) 98418.7 68168.3i 1.31092 0.907990i
\(275\) −54772.4 + 31622.8i −0.724263 + 0.418153i
\(276\) −74267.4 26210.5i −0.974945 0.344078i
\(277\) 46052.4 79765.0i 0.600195 1.03957i −0.392596 0.919711i \(-0.628423\pi\)
0.992791 0.119857i \(-0.0382436\pi\)
\(278\) −95064.9 + 7828.87i −1.23007 + 0.101300i
\(279\) −40120.3 + 25353.9i −0.515414 + 0.325713i
\(280\) −18324.1 + 4610.71i −0.233726 + 0.0588101i
\(281\) −11148.0 + 19308.8i −0.141183 + 0.244537i −0.927942 0.372723i \(-0.878424\pi\)
0.786759 + 0.617260i \(0.211757\pi\)
\(282\) 22242.2 + 30779.3i 0.279692 + 0.387044i
\(283\) 21648.6 12498.8i 0.270307 0.156062i −0.358720 0.933445i \(-0.616787\pi\)
0.629027 + 0.777383i \(0.283453\pi\)
\(284\) 62196.0 51116.9i 0.771126 0.633764i
\(285\) −25888.8 + 15645.1i −0.318729 + 0.192614i
\(286\) 22263.4 47115.2i 0.272182 0.576009i
\(287\) 149568.i 1.81582i
\(288\) −46585.6 + 68625.7i −0.561652 + 0.827374i
\(289\) −68471.9 −0.819816
\(290\) 15067.8 + 7120.01i 0.179166 + 0.0846612i
\(291\) 20908.9 37947.4i 0.246914 0.448122i
\(292\) 27482.0 + 33438.4i 0.322316 + 0.392175i
\(293\) 11748.6 + 20349.1i 0.136852 + 0.237034i 0.926303 0.376779i \(-0.122968\pi\)
−0.789452 + 0.613813i \(0.789635\pi\)
\(294\) 1168.08 + 11394.3i 0.0135138 + 0.131824i
\(295\) −10555.0 6093.95i −0.121287 0.0700253i
\(296\) 35751.5 + 142086.i 0.408048 + 1.62169i
\(297\) −69549.5 34773.1i −0.788462 0.394213i
\(298\) −1731.44 21024.7i −0.0194974 0.236754i
\(299\) −57850.1 33399.7i −0.647085 0.373595i
\(300\) 83937.5 15649.4i 0.932639 0.173882i
\(301\) −58521.0 101361.i −0.645920 1.11877i
\(302\) 76125.6 + 109907.i 0.834673 + 1.20507i
\(303\) 30494.1 55343.3i 0.332147 0.602809i
\(304\) 149090. + 29435.7i 1.61325 + 0.318513i
\(305\) −375.559 −0.00403719
\(306\) −36586.6 15531.2i −0.390732 0.165868i
\(307\) 32060.0i 0.340163i 0.985430 + 0.170082i \(0.0544031\pi\)
−0.985430 + 0.170082i \(0.945597\pi\)
\(308\) −31288.6 + 83311.2i −0.329826 + 0.878217i
\(309\) 16533.2 9991.34i 0.173157 0.104642i
\(310\) 7555.63 + 10908.5i 0.0786226 + 0.113512i
\(311\) 61441.4 35473.2i 0.635244 0.366758i −0.147536 0.989057i \(-0.547134\pi\)
0.782780 + 0.622298i \(0.213801\pi\)
\(312\) −49511.7 + 49978.5i −0.508626 + 0.513422i
\(313\) −59259.6 + 102641.i −0.604882 + 1.04769i 0.387189 + 0.922001i \(0.373446\pi\)
−0.992070 + 0.125685i \(0.959887\pi\)
\(314\) −5581.58 67776.4i −0.0566106 0.687415i
\(315\) 955.832 + 23895.3i 0.00963298 + 0.240819i
\(316\) 3614.95 + 21799.1i 0.0362016 + 0.218305i
\(317\) 67390.6 116724.i 0.670626 1.16156i −0.307100 0.951677i \(-0.599359\pi\)
0.977727 0.209882i \(-0.0673080\pi\)
\(318\) −156123. 69990.4i −1.54388 0.692124i
\(319\) 67974.6 39245.2i 0.667983 0.385660i
\(320\) 19719.7 + 12204.3i 0.192576 + 0.119183i
\(321\) 2490.97 + 124596.i 0.0241746 + 1.20918i
\(322\) 103143. + 48738.2i 0.994782 + 0.470065i
\(323\) 72822.8i 0.698011i
\(324\) 72918.5 + 75517.2i 0.694621 + 0.719376i
\(325\) 72420.4 0.685637
\(326\) 52710.0 111548.i 0.495973 1.04961i
\(327\) −174429. + 3487.26i −1.63126 + 0.0326129i
\(328\) −131773. + 127802.i −1.22484 + 1.18793i
\(329\) −27503.0 47636.7i −0.254091 0.440098i
\(330\) −8893.65 + 19838.5i −0.0816680 + 0.182172i
\(331\) −133143. 76870.2i −1.21524 0.701620i −0.251345 0.967898i \(-0.580873\pi\)
−0.963896 + 0.266278i \(0.914206\pi\)
\(332\) −7874.49 47485.2i −0.0714408 0.430806i
\(333\) 185284. 7411.54i 1.67090 0.0668374i
\(334\) 62981.6 5186.72i 0.564574 0.0464943i
\(335\) 20126.8 + 11620.2i 0.179343 + 0.103544i
\(336\) 77264.2 92003.9i 0.684384 0.814944i
\(337\) 11471.8 + 19869.8i 0.101012 + 0.174958i 0.912102 0.409964i \(-0.134459\pi\)
−0.811090 + 0.584922i \(0.801125\pi\)
\(338\) 44863.5 31074.1i 0.392699 0.271997i
\(339\) −63466.7 105022.i −0.552264 0.913863i
\(340\) −3907.17 + 10403.5i −0.0337990 + 0.0899958i
\(341\) 62497.2 0.537467
\(342\) 75155.6 177043.i 0.642553 1.51365i
\(343\) 108611.i 0.923175i
\(344\) −39297.3 + 138170.i −0.332082 + 1.16760i
\(345\) 24409.1 + 13449.4i 0.205076 + 0.112996i
\(346\) −154755. + 107189.i −1.29268 + 0.895358i
\(347\) −6260.87 + 3614.72i −0.0519967 + 0.0300203i −0.525773 0.850625i \(-0.676224\pi\)
0.473776 + 0.880645i \(0.342891\pi\)
\(348\) −104170. + 19421.5i −0.860167 + 0.160370i
\(349\) −55282.6 + 95752.3i −0.453877 + 0.786137i −0.998623 0.0524636i \(-0.983293\pi\)
0.544746 + 0.838601i \(0.316626\pi\)
\(350\) −123260. + 10150.9i −1.00621 + 0.0828641i
\(351\) 49060.4 + 74302.3i 0.398214 + 0.603098i
\(352\) 100135. 43621.5i 0.808165 0.352059i
\(353\) 30801.7 53350.1i 0.247187 0.428140i −0.715557 0.698554i \(-0.753827\pi\)
0.962744 + 0.270414i \(0.0871605\pi\)
\(354\) 77091.3 7902.95i 0.615175 0.0630642i
\(355\) −24671.6 + 14244.1i −0.195767 + 0.113026i
\(356\) 32370.4 + 39386.4i 0.255416 + 0.310775i
\(357\) 50424.8 + 27784.0i 0.395647 + 0.218001i
\(358\) 4350.43 9206.66i 0.0339442 0.0718350i
\(359\) 84462.7i 0.655354i −0.944790 0.327677i \(-0.893734\pi\)
0.944790 0.327677i \(-0.106266\pi\)
\(360\) 20235.7 21260.1i 0.156139 0.164044i
\(361\) −222069. −1.70401
\(362\) 20529.7 + 9700.91i 0.156663 + 0.0740279i
\(363\) −15192.7 25140.3i −0.115298 0.190791i
\(364\) 78725.9 64702.3i 0.594176 0.488334i
\(365\) −7658.07 13264.2i −0.0574823 0.0995622i
\(366\) 1935.48 1398.65i 0.0144486 0.0104411i
\(367\) 161018. + 92963.9i 1.19548 + 0.690212i 0.959545 0.281556i \(-0.0908507\pi\)
0.235937 + 0.971768i \(0.424184\pi\)
\(368\) −45193.7 132518.i −0.333720 0.978538i
\(369\) 124114. + 196399.i 0.911522 + 1.44241i
\(370\) −4255.27 51671.2i −0.0310831 0.377438i
\(371\) 214625. + 123914.i 1.55931 + 0.900268i
\(372\) −79563.9 28079.7i −0.574950 0.202911i
\(373\) 42545.6 + 73691.2i 0.305800 + 0.529661i 0.977439 0.211217i \(-0.0677428\pi\)
−0.671639 + 0.740878i \(0.734409\pi\)
\(374\) 29801.9 + 43026.9i 0.213060 + 0.307607i
\(375\) −62049.6 + 1240.52i −0.441241 + 0.00882150i
\(376\) −18468.5 + 64935.4i −0.130634 + 0.459310i
\(377\) −89876.5 −0.632359
\(378\) −93916.0 119587.i −0.657288 0.836951i
\(379\) 146982.i 1.02326i 0.859206 + 0.511630i \(0.170958\pi\)
−0.859206 + 0.511630i \(0.829042\pi\)
\(380\) −50342.6 18906.8i −0.348633 0.130934i
\(381\) −2822.49 141178.i −0.0194439 0.972560i
\(382\) −73971.9 106798.i −0.506921 0.731872i
\(383\) 161253. 93099.7i 1.09929 0.634674i 0.163254 0.986584i \(-0.447801\pi\)
0.936034 + 0.351910i \(0.114468\pi\)
\(384\) −147079. + 10543.4i −0.997440 + 0.0715022i
\(385\) 15745.7 27272.3i 0.106228 0.183993i
\(386\) −258.515 3139.11i −0.00173504 0.0210684i
\(387\) 160956. + 84537.3i 1.07470 + 0.564452i
\(388\) 75987.2 12601.0i 0.504751 0.0837030i
\(389\) 128002. 221706.i 0.845897 1.46514i −0.0389437 0.999241i \(-0.512399\pi\)
0.884840 0.465894i \(-0.154267\pi\)
\(390\) 20177.6 14581.1i 0.132660 0.0958649i
\(391\) 58104.8 33546.8i 0.380066 0.219431i
\(392\) −14617.2 + 14176.7i −0.0951245 + 0.0922579i
\(393\) −64486.2 + 38970.2i −0.417524 + 0.252317i
\(394\) 89784.4 + 42425.9i 0.578374 + 0.273299i
\(395\) 7819.24i 0.0501153i
\(396\) −28047.6 135361.i −0.178857 0.863184i
\(397\) −260735. −1.65432 −0.827159 0.561968i \(-0.810044\pi\)
−0.827159 + 0.561968i \(0.810044\pi\)
\(398\) −20521.7 + 43429.5i −0.129553 + 0.274169i
\(399\) −134447. + 244006.i −0.844509 + 1.53269i
\(400\) 114267. + 99922.3i 0.714166 + 0.624514i
\(401\) −26507.0 45911.4i −0.164843 0.285517i 0.771756 0.635918i \(-0.219379\pi\)
−0.936600 + 0.350401i \(0.886045\pi\)
\(402\) −147001. + 15069.7i −0.909636 + 0.0932506i
\(403\) −61975.7 35781.7i −0.381603 0.220318i
\(404\) 110821. 18377.6i 0.678986 0.112597i
\(405\) −21083.8 30584.1i −0.128540 0.186460i
\(406\) 152971. 12597.6i 0.928019 0.0764251i
\(407\) −211470. 122092.i −1.27661 0.737053i
\(408\) −18608.5 68166.5i −0.111787 0.409497i
\(409\) −73697.8 127648.i −0.440563 0.763078i 0.557168 0.830400i \(-0.311888\pi\)
−0.997731 + 0.0673220i \(0.978555\pi\)
\(410\) 53400.1 36986.8i 0.317668 0.220028i
\(411\) 129996. 235929.i 0.769569 1.39668i
\(412\) 32150.1 + 12074.4i 0.189403 + 0.0711328i
\(413\) −112251. −0.658099
\(414\) −175883. + 21591.0i −1.02618 + 0.125972i
\(415\) 17032.8i 0.0988983i
\(416\) −124274. 14073.0i −0.718115 0.0813206i
\(417\) −183684. + 111004.i −1.05633 + 0.638360i
\(418\) −208207. + 144212.i −1.19163 + 0.825368i
\(419\) −201431. + 116296.i −1.14736 + 0.662426i −0.948242 0.317550i \(-0.897140\pi\)
−0.199115 + 0.979976i \(0.563807\pi\)
\(420\) −32298.8 + 27645.3i −0.183100 + 0.156720i
\(421\) 34900.8 60449.9i 0.196911 0.341060i −0.750614 0.660741i \(-0.770242\pi\)
0.947525 + 0.319680i \(0.103576\pi\)
\(422\) −118600. + 9767.08i −0.665980 + 0.0548454i
\(423\) 75644.4 + 39729.9i 0.422762 + 0.222043i
\(424\) −74220.8 294972.i −0.412852 1.64078i
\(425\) −36369.7 + 62994.1i −0.201355 + 0.348756i
\(426\) 74099.8 165290.i 0.408317 0.910807i
\(427\) −2995.51 + 1729.46i −0.0164292 + 0.00948539i
\(428\) −171159. + 140670.i −0.934354 + 0.767916i
\(429\) −2343.62 117225.i −0.0127342 0.636951i
\(430\) 21717.3 45959.5i 0.117454 0.248564i
\(431\) 147873.i 0.796037i 0.917377 + 0.398019i \(0.130302\pi\)
−0.917377 + 0.398019i \(0.869698\pi\)
\(432\) −25110.3 + 184927.i −0.134550 + 0.990907i
\(433\) 294850. 1.57262 0.786312 0.617830i \(-0.211988\pi\)
0.786312 + 0.617830i \(0.211988\pi\)
\(434\) 110499. + 52214.0i 0.586649 + 0.277209i
\(435\) 37489.6 749.509i 0.198122 0.00396094i
\(436\) −196932. 239615.i −1.03596 1.26050i
\(437\) 162333. + 281169.i 0.850050 + 1.47233i
\(438\) 88864.7 + 39838.3i 0.463213 + 0.207660i
\(439\) −62468.0 36065.9i −0.324137 0.187140i 0.329098 0.944296i \(-0.393255\pi\)
−0.653235 + 0.757155i \(0.726589\pi\)
\(440\) −37482.0 + 9431.20i −0.193605 + 0.0487149i
\(441\) 13767.6 + 21786.0i 0.0707914 + 0.112021i
\(442\) −4918.98 59730.5i −0.0251785 0.305739i
\(443\) 165331. + 95453.7i 0.842453 + 0.486391i 0.858097 0.513487i \(-0.171647\pi\)
−0.0156440 + 0.999878i \(0.504980\pi\)
\(444\) 214362. + 250445.i 1.08738 + 1.27042i
\(445\) −9020.28 15623.6i −0.0455512 0.0788970i
\(446\) 120594. + 174109.i 0.606255 + 0.875288i
\(447\) −24549.7 40623.9i −0.122866 0.203314i
\(448\) 213489. + 6533.50i 1.06370 + 0.0325529i
\(449\) 192859. 0.956639 0.478319 0.878186i \(-0.341246\pi\)
0.478319 + 0.878186i \(0.341246\pi\)
\(450\) 153432. 115613.i 0.757688 0.570928i
\(451\) 305940.i 1.50412i
\(452\) 76698.5 204223.i 0.375414 0.999603i
\(453\) 263469. + 145171.i 1.28391 + 0.707429i
\(454\) 85718.0 + 123756.i 0.415873 + 0.600421i
\(455\) −31228.6 + 18029.8i −0.150844 + 0.0870901i
\(456\) 329858. 90046.3i 1.58634 0.433048i
\(457\) 2962.66 5131.48i 0.0141857 0.0245703i −0.858845 0.512235i \(-0.828818\pi\)
0.873031 + 0.487665i \(0.162151\pi\)
\(458\) 18791.4 + 228181.i 0.0895834 + 1.08780i
\(459\) −89269.3 + 5359.85i −0.423718 + 0.0254406i
\(460\) 8105.41 + 48877.7i 0.0383053 + 0.230991i
\(461\) −63341.9 + 109711.i −0.298050 + 0.516238i −0.975690 0.219156i \(-0.929670\pi\)
0.677640 + 0.735394i \(0.263003\pi\)
\(462\) 20419.8 + 199190.i 0.0956682 + 0.933219i
\(463\) 204011. 117786.i 0.951682 0.549454i 0.0580790 0.998312i \(-0.481502\pi\)
0.893603 + 0.448858i \(0.148169\pi\)
\(464\) −141809. 124007.i −0.658671 0.575985i
\(465\) 26149.9 + 14408.5i 0.120938 + 0.0666367i
\(466\) −131891. 62322.7i −0.607358 0.286995i
\(467\) 97776.2i 0.448332i 0.974551 + 0.224166i \(0.0719658\pi\)
−0.974551 + 0.224166i \(0.928034\pi\)
\(468\) −49685.1 + 150290.i −0.226848 + 0.686180i
\(469\) 214045. 0.973105
\(470\) 10206.4 21599.5i 0.0462039 0.0977798i
\(471\) −79140.0 130957.i −0.356742 0.590321i
\(472\) 95916.2 + 98896.5i 0.430534 + 0.443912i
\(473\) −119705. 207334.i −0.535043 0.926721i
\(474\) 29120.2 + 40297.2i 0.129610 + 0.179357i
\(475\) −304829. 175993.i −1.35104 0.780024i
\(476\) 16744.3 + 100972.i 0.0739015 + 0.445645i
\(477\) −384653. + 15386.5i −1.69057 + 0.0676243i
\(478\) −208722. + 17188.8i −0.913508 + 0.0752300i
\(479\) −349162. 201589.i −1.52179 0.878608i −0.999669 0.0257398i \(-0.991806\pi\)
−0.522126 0.852869i \(1.32514\pi\)
\(480\) 51954.9 + 4833.82i 0.225499 + 0.0209801i
\(481\) 139803. + 242147.i 0.604266 + 1.04662i
\(482\) 44428.1 30772.5i 0.191233 0.132455i
\(483\) 256625. 5130.57i 1.10003 0.0219923i
\(484\) 18360.2 48887.1i 0.0783766 0.208691i
\(485\) −27256.3 −0.115873
\(486\) 222558. + 79098.3i 0.942259 + 0.334884i
\(487\) 195207.i 0.823071i 0.911394 + 0.411536i \(0.135007\pi\)
−0.911394 + 0.411536i \(0.864993\pi\)
\(488\) 4083.30 + 1161.35i 0.0171464 + 0.00487665i
\(489\) −5548.68 277538.i −0.0232045 1.16066i
\(490\) 5923.51 4102.83i 0.0246710 0.0170880i
\(491\) −65937.1 + 38068.8i −0.273506 + 0.157909i −0.630480 0.776206i \(-0.717142\pi\)
0.356974 + 0.934114i \(0.383809\pi\)
\(492\) −137458. + 389486.i −0.567856 + 1.60902i
\(493\) 45136.2 78178.1i 0.185708 0.321656i
\(494\) 289036. 23802.9i 1.18440 0.0975386i
\(495\) 1955.15 + 48877.7i 0.00797941 + 0.199481i
\(496\) −48416.8 141968.i −0.196803 0.577069i
\(497\) −131189. + 227226.i −0.531111 + 0.919912i
\(498\) −63432.9 87780.0i −0.255774 0.353946i
\(499\) −12618.3 + 7285.17i −0.0506757 + 0.0292576i −0.525124 0.851026i \(-0.675981\pi\)
0.474448 + 0.880283i \(0.342648\pi\)
\(500\) −70054.7 85238.4i −0.280219 0.340953i
\(501\) 121693. 73541.3i 0.484831 0.292992i
\(502\) −190220. + 402557.i −0.754830 + 1.59742i
\(503\) 280154.i 1.10729i −0.832753 0.553645i \(-0.813236\pi\)
0.832753 0.553645i \(-0.186764\pi\)
\(504\) 63499.2 262759.i 0.249981 1.03442i
\(505\) −39751.2 −0.155872
\(506\) 210979. + 99693.9i 0.824020 + 0.389375i
\(507\) 59258.0 107547.i 0.230532 0.418390i
\(508\) 193938. 159391.i 0.751511 0.617643i
\(509\) −101505. 175811.i −0.391787 0.678595i 0.600899 0.799325i \(-0.294810\pi\)
−0.992685 + 0.120731i \(0.961476\pi\)
\(510\) 2549.93 + 24873.9i 0.00980364 + 0.0956321i
\(511\) −122164. 70531.3i −0.467843 0.270110i
\(512\) −176665. 193672.i −0.673924 0.738801i
\(513\) −25936.3 431974.i −0.0985539 1.64143i
\(514\) 24265.7 + 294655.i 0.0918472 + 1.11529i
\(515\) −10524.5 6076.30i −0.0396813 0.0229100i
\(516\) 59239.0 + 317736.i 0.222489 + 1.19335i
\(517\) −56257.4 97440.7i −0.210474 0.364552i
\(518\) −271888. 392541.i −1.01328 1.46294i
\(519\) −204408. + 370978.i −0.758863 + 1.37725i
\(520\) 42568.9 + 12107.2i 0.157429 + 0.0447750i
\(521\) −30822.1 −0.113550 −0.0567749 0.998387i \(-0.518082\pi\)
−0.0567749 + 0.998387i \(0.518082\pi\)
\(522\) −190415. + 143480.i −0.698811 + 0.526564i
\(523\) 94412.3i 0.345164i 0.984995 + 0.172582i \(0.0552109\pi\)
−0.984995 + 0.172582i \(0.944789\pi\)
\(524\) −125398. 47094.8i −0.456697 0.171518i
\(525\) −238164. + 143927.i −0.864087 + 0.522183i
\(526\) −16781.0 24227.8i −0.0606523 0.0875674i
\(527\) 62248.6 35939.3i 0.224134 0.129404i
\(528\) 158044. 188194.i 0.566904 0.675053i
\(529\) 9641.45 16699.5i 0.0344533 0.0596749i
\(530\) 8834.03 + 107270.i 0.0314490 + 0.381881i
\(531\) 147399. 93148.0i 0.522763 0.330358i
\(532\) −488606. + 81025.8i −1.72638 + 0.286286i
\(533\) −175161. + 303387.i −0.616570 + 1.06793i
\(534\) 104672. + 46924.6i 0.367068 + 0.164558i
\(535\) 67894.3 39198.8i 0.237206 0.136951i
\(536\) −182897. 188580.i −0.636615 0.656396i
\(537\) −457.961 22906.7i −0.00158811 0.0794352i
\(538\) −139617. 65973.1i −0.482361 0.227930i
\(539\) 33937.0i 0.116814i
\(540\) 19471.5 63103.6i 0.0667746 0.216405i
\(541\) 166561. 0.569087 0.284544 0.958663i \(-0.408158\pi\)
0.284544 + 0.958663i \(0.408158\pi\)
\(542\) −21430.6 + 45352.8i −0.0729517 + 0.154385i
\(543\) 51079.0 1021.20i 0.173238 0.00346345i
\(544\) 74651.9 101031.i 0.252257 0.341395i
\(545\) 54876.8 + 95049.4i 0.184755 + 0.320005i
\(546\) 93793.4 209219.i 0.314621 0.701804i
\(547\) 256245. + 147943.i 0.856410 + 0.494448i 0.862808 0.505531i \(-0.168703\pi\)
−0.00639865 + 0.999980i \(0.502037\pi\)
\(548\) 472433. 78343.7i 1.57318 0.260881i
\(549\) 2498.32 4756.71i 0.00828902 0.0157820i
\(550\) −252129. + 20763.6i −0.833485 + 0.0686399i
\(551\) 378304. + 218414.i 1.24606 + 0.719411i
\(552\) −223801. 221710.i −0.734486 0.727624i
\(553\) −36007.8 62367.3i −0.117746 0.203942i
\(554\) 302865. 209775.i 0.986800 0.683492i
\(555\) −60334.6 99839.1i −0.195876 0.324127i
\(556\) −357187. 134146.i −1.15544 0.433939i
\(557\) −30600.2 −0.0986312 −0.0493156 0.998783i \(-0.515704\pi\)
−0.0493156 + 0.998783i \(0.515704\pi\)
\(558\) −188426. + 23130.8i −0.605162 + 0.0742886i
\(559\) 274139.i 0.877298i
\(560\) −74149.8 14639.8i −0.236447 0.0466832i
\(561\) 103144. + 56832.1i 0.327731 + 0.180579i
\(562\) −73314.9 + 50780.5i −0.232124 + 0.160777i
\(563\) 210267. 121398.i 0.663369 0.382996i −0.130191 0.991489i \(-0.541559\pi\)
0.793559 + 0.608493i \(0.208226\pi\)
\(564\) 27840.5 + 149326.i 0.0875222 + 0.469437i
\(565\) −38597.8 + 66853.3i −0.120911 + 0.209424i
\(566\) 99653.3 8206.73i 0.311070 0.0256175i
\(567\) −309008. 146851.i −0.961178 0.456785i
\(568\) 312291. 78578.6i 0.967973 0.243561i
\(569\) −148459. + 257138.i −0.458545 + 0.794223i −0.998884 0.0472242i \(-0.984962\pi\)
0.540339 + 0.841447i \(0.318296\pi\)
\(570\) −120365. + 12339.1i −0.370468 + 0.0379782i
\(571\) −228446. + 131893.i −0.700665 + 0.404529i −0.807595 0.589737i \(-0.799231\pi\)
0.106930 + 0.994267i \(0.465898\pi\)
\(572\) 161034. 132349.i 0.492181 0.404508i
\(573\) −256015. 141064.i −0.779752 0.429642i
\(574\) 255601. 540921.i 0.775781 1.64176i
\(575\) 324294.i 0.980852i
\(576\) −285757. + 168577.i −0.861295 + 0.508106i
\(577\) 350367. 1.05238 0.526188 0.850368i \(-0.323621\pi\)
0.526188 + 0.850368i \(0.323621\pi\)
\(578\) −247633. 117014.i −0.741229 0.350253i
\(579\) −3665.42 6065.38i −0.0109337 0.0180926i
\(580\) 42326.2 + 51499.9i 0.125821 + 0.153091i
\(581\) 78436.3 + 135856.i 0.232362 + 0.402463i
\(582\) 140468. 101507.i 0.414698 0.299675i
\(583\) 439015. + 253466.i 1.29164 + 0.745730i
\(584\) 42246.2 + 167897.i 0.123869 + 0.492286i
\(585\) 26045.3 49589.3i 0.0761057 0.144903i
\(586\) 7714.12 + 93671.5i 0.0224642 + 0.272780i
\(587\) 5965.76 + 3444.33i 0.0173137 + 0.00999606i 0.508632 0.860984i \(-0.330151\pi\)
−0.491318 + 0.870980i \(0.663485\pi\)
\(588\) −15247.8 + 43204.5i −0.0441013 + 0.124961i
\(589\) 173910. + 301221.i 0.501296 + 0.868270i
\(590\) −27758.8 40077.0i −0.0797437 0.115131i
\(591\) 223388. 4466.08i 0.639566 0.0127865i
\(592\) −113517. + 574959.i −0.323906 + 1.64056i
\(593\) 544416. 1.54818 0.774090 0.633076i \(-0.218208\pi\)
0.774090 + 0.633076i \(0.218208\pi\)
\(594\) −192105. 244615.i −0.544460 0.693282i
\(595\) 36218.4i 0.102305i
\(596\) 29668.0 78996.0i 0.0835209 0.222389i
\(597\) 2160.28 + 108055.i 0.00606125 + 0.303177i
\(598\) −152140. 219654.i −0.425444 0.614239i
\(599\) 122771. 70881.9i 0.342170 0.197552i −0.319061 0.947734i \(-0.603367\pi\)
0.661231 + 0.750182i \(0.270034\pi\)
\(600\) 330309. + 86846.8i 0.917526 + 0.241241i
\(601\) 265380. 459652.i 0.734715 1.27256i −0.220133 0.975470i \(-0.570649\pi\)
0.954848 0.297094i \(-0.0960176\pi\)
\(602\) −38424.9 466588.i −0.106028 1.28748i
\(603\) −281066. + 177619.i −0.772990 + 0.488488i
\(604\) 87488.8 + 527580.i 0.239816 + 1.44615i
\(605\) −9239.58 + 16003.4i −0.0252430 + 0.0437222i
\(606\) 204862. 148040.i 0.557848 0.403120i
\(607\) −35215.7 + 20331.8i −0.0955782 + 0.0551821i −0.547027 0.837115i \(-0.684241\pi\)
0.451449 + 0.892297i \(0.350907\pi\)
\(608\) 488889. + 361241.i 1.32252 + 0.977214i
\(609\) 295570. 178619.i 0.796942 0.481606i
\(610\) −1358.23 641.807i −0.00365019 0.00172482i
\(611\) 128837.i 0.345110i
\(612\) −105776. 118694.i −0.282413 0.316902i
\(613\) −498556. −1.32676 −0.663382 0.748281i \(-0.730879\pi\)
−0.663382 + 0.748281i \(0.730879\pi\)
\(614\) −54788.5 + 115947.i −0.145329 + 0.307555i
\(615\) 70533.5 128011.i 0.186486 0.338451i
\(616\) −255531. + 247830.i −0.673413 + 0.653120i
\(617\) 45030.4 + 77995.0i 0.118287 + 0.204879i 0.919089 0.394050i \(-0.128926\pi\)
−0.800802 + 0.598929i \(0.795593\pi\)
\(618\) 76868.1 7880.06i 0.201265 0.0206325i
\(619\) 149379. + 86244.1i 0.389860 + 0.225086i 0.682099 0.731259i \(-0.261067\pi\)
−0.292240 + 0.956345i \(0.594400\pi\)
\(620\) 8683.45 + 52363.5i 0.0225896 + 0.136221i
\(621\) −332721. + 219689.i −0.862774 + 0.569673i
\(622\) 282828. 23291.7i 0.731042 0.0602034i
\(623\) −143894. 83077.2i −0.370738 0.214045i
\(624\) −264472. + 96138.4i −0.679221 + 0.246904i
\(625\) −165774. 287128.i −0.424380 0.735049i
\(626\) −389723. + 269936.i −0.994505 + 0.688830i
\(627\) −275011. + 499114.i −0.699543 + 1.26959i
\(628\) 95639.3 254656.i 0.242503 0.645706i
\(629\) −280838. −0.709831
\(630\) −37378.6 + 88052.2i −0.0941765 + 0.221850i
\(631\) 210621.i 0.528985i −0.964388 0.264492i \(-0.914796\pi\)
0.964388 0.264492i \(-0.0852044\pi\)
\(632\) −24179.5 + 85015.4i −0.0605359 + 0.212845i
\(633\) −229160. + 138485.i −0.571914 + 0.345618i
\(634\) 443196. 306973.i 1.10260 0.763699i
\(635\) −76930.2 + 44415.7i −0.190787 + 0.110151i
\(636\) −445020. 519929.i −1.10018 1.28538i
\(637\) −19430.1 + 33653.9i −0.0478846 + 0.0829385i
\(638\) 312902. 25768.4i 0.768718 0.0633061i
\(639\) −16289.9 407238.i −0.0398948 0.997347i
\(640\) 50461.3 + 77837.5i 0.123196 + 0.190033i
\(641\) 232262. 402289.i 0.565278 0.979089i −0.431746 0.901995i \(-0.642102\pi\)
0.997024 0.0770943i \(-0.0245642\pi\)
\(642\) −203917. + 454865.i −0.494748 + 1.10360i
\(643\) −361978. + 208988.i −0.875509 + 0.505476i −0.869175 0.494504i \(-0.835350\pi\)
−0.00633423 + 0.999980i \(0.502016\pi\)
\(644\) 289733. + 352530.i 0.698596 + 0.850010i
\(645\) −2286.13 114350.i −0.00549518 0.274863i
\(646\) −124450. + 263368.i −0.298214 + 0.631101i
\(647\) 825841.i 1.97282i −0.164299 0.986411i \(-0.552536\pi\)
0.164299 0.986411i \(-0.447464\pi\)
\(648\) 134660. + 397726.i 0.320694 + 0.947183i
\(649\) −229610. −0.545131
\(650\) 261913. + 123762.i 0.619913 + 0.292928i
\(651\) 274927. 5496.46i 0.648717 0.0129694i
\(652\) 381258. 313344.i 0.896859 0.737100i
\(653\) −164273. 284529.i −0.385247 0.667267i 0.606557 0.795040i \(-0.292550\pi\)
−0.991803 + 0.127773i \(0.959217\pi\)
\(654\) −636793. 285476.i −1.48882 0.667443i
\(655\) 41049.6 + 23700.0i 0.0956811 + 0.0552415i
\(656\) −694972. + 237013.i −1.61495 + 0.550762i
\(657\) 218943. 8757.93i 0.507225 0.0202895i
\(658\) −18058.5 219282.i −0.0417090 0.506467i
\(659\) −144939. 83680.3i −0.333744 0.192687i 0.323758 0.946140i \(-0.395054\pi\)
−0.657502 + 0.753453i \(0.728387\pi\)
\(660\) −66067.2 + 56548.5i −0.151669 + 0.129818i
\(661\) 152616. + 264339.i 0.349300 + 0.605005i 0.986125 0.166003i \(-0.0530862\pi\)
−0.636826 + 0.771008i \(0.719753\pi\)
\(662\) −350154. 505539.i −0.798994 1.15356i
\(663\) −69745.1 115411.i −0.158667 0.262555i
\(664\) 52670.6 185190.i 0.119463 0.420032i
\(665\) 175261. 0.396317
\(666\) 682758. + 289834.i 1.53928 + 0.653434i
\(667\) 402461.i 0.904633i
\(668\) 236641. + 88873.4i 0.530318 + 0.199168i
\(669\) 417373. + 229972.i 0.932550 + 0.513833i
\(670\) 52931.6 + 76420.5i 0.117914 + 0.170240i
\(671\) −6127.32 + 3537.61i −0.0136090 + 0.00785715i
\(672\) 436660. 200699.i 0.966951 0.444433i
\(673\) −403032. + 698073.i −0.889836 + 1.54124i −0.0497671 + 0.998761i \(0.515848\pi\)
−0.840069 + 0.542480i \(0.817485\pi\)
\(674\) 7532.41 + 91465.0i 0.0165811 + 0.201342i
\(675\) 193304. 386625.i 0.424261 0.848560i
\(676\) 215355. 35712.5i 0.471262 0.0781496i
\(677\) 183117. 317169.i 0.399533 0.692011i −0.594136 0.804365i \(-0.702506\pi\)
0.993668 + 0.112354i \(0.0358390\pi\)
\(678\) −50055.6 488280.i −0.108891 1.06221i
\(679\) −217400. + 125516.i −0.471542 + 0.272245i
\(680\) −31909.5 + 30947.9i −0.0690084 + 0.0669288i
\(681\) 296668. + 163464.i 0.639701 + 0.352474i
\(682\) 226025. + 106804.i 0.485946 + 0.229624i
\(683\) 398332.i 0.853894i 0.904277 + 0.426947i \(0.140411\pi\)
−0.904277 + 0.426947i \(0.859589\pi\)
\(684\) 574360. 511850.i 1.22764 1.09403i
\(685\) −169460. −0.361148
\(686\) −185609. + 392797.i −0.394412 + 0.834680i
\(687\) 266439. + 440892.i 0.564526 + 0.934154i
\(688\) −378244. + 432543.i −0.799089 + 0.913802i
\(689\) −290235. 502701.i −0.611379 1.05894i
\(690\) 65293.0 + 90354.1i 0.137141 + 0.189780i
\(691\) −304679. 175906.i −0.638096 0.368405i 0.145785 0.989316i \(-0.453429\pi\)
−0.783881 + 0.620912i \(0.786763\pi\)
\(692\) −742860. + 123189.i −1.55130 + 0.257252i
\(693\) 240678. + 380852.i 0.501152 + 0.793030i
\(694\) −28820.2 + 2373.42i −0.0598381 + 0.00492784i
\(695\) 116927. + 67507.8i 0.242072 + 0.139760i
\(696\) −409926. 107780.i −0.846228 0.222495i
\(697\) −175932. 304723.i −0.362143 0.627249i
\(698\) −363568. + 251820.i −0.746233 + 0.516868i
\(699\) −328153. + 6560.58i −0.671617 + 0.0134273i
\(700\) −463127. 173933.i −0.945156 0.354965i
\(701\) −620142. −1.26199 −0.630994 0.775788i \(-0.717353\pi\)
−0.630994 + 0.775788i \(0.717353\pi\)
\(702\) 50452.0 + 352560.i 0.102377 + 0.715417i
\(703\) 1.35898e6i 2.74980i
\(704\) 436691. + 13364.3i 0.881107 + 0.0269650i
\(705\) −1074.41 53740.8i −0.00216168 0.108125i
\(706\) 202568. 140306.i 0.406408 0.281493i
\(707\) −317061. + 183055.i −0.634314 + 0.366222i
\(708\) 292311. + 103163.i 0.583148 + 0.205805i
\(709\) −157448. + 272708.i −0.313217 + 0.542508i −0.979057 0.203587i \(-0.934740\pi\)
0.665840 + 0.746095i \(0.268073\pi\)
\(710\) −113569. + 9352.70i −0.225290 + 0.0185533i
\(711\) 99035.9 + 52015.6i 0.195909 + 0.102895i
\(712\) 49760.9 + 197762.i 0.0981585 + 0.390107i
\(713\) 160228. 277523.i 0.315181 0.545909i
\(714\) 134884. + 186655.i 0.264584 + 0.366137i
\(715\) −63878.0 + 36880.0i −0.124951 + 0.0721404i
\(716\) 31467.2 25861.9i 0.0613807 0.0504469i
\(717\) −403292. + 243717.i −0.784480 + 0.474075i
\(718\) 144341. 305465.i 0.279990 0.592533i
\(719\) 361941.i 0.700132i 0.936725 + 0.350066i \(0.113841\pi\)
−0.936725 + 0.350066i \(0.886159\pi\)
\(720\) 109516. 42307.0i 0.211257 0.0816108i
\(721\) −111926. −0.215308
\(722\) −803126. 379501.i −1.54067 0.728013i
\(723\) 58682.9 106503.i 0.112263 0.203744i
\(724\) 57668.8 + 70167.9i 0.110018 + 0.133863i
\(725\) 218164. + 377870.i 0.415056 + 0.718897i
\(726\) −11982.4 116885.i −0.0227337 0.221761i
\(727\) 267542. + 154465.i 0.506200 + 0.292255i 0.731270 0.682088i \(-0.238928\pi\)
−0.225070 + 0.974343i \(0.572261\pi\)
\(728\) 395289. 99462.6i 0.745852 0.187671i
\(729\) 527623. 63587.7i 0.992816 0.119651i
\(730\) −5028.29 61057.9i −0.00943572 0.114577i
\(731\) −238457. 137673.i −0.446247 0.257641i
\(732\) 9389.99 1750.68i 0.0175244 0.00326727i
\(733\) −441272. 764305.i −0.821293 1.42252i −0.904719 0.426008i \(-0.859920\pi\)
0.0834259 0.996514i \(-0.473414\pi\)
\(734\) 423464. + 611380.i 0.786002 + 1.13480i
\(735\) 7824.08 14199.8i 0.0144830 0.0262850i
\(736\) 63018.1 556492.i 0.116335 1.02731i
\(737\) 437829. 0.806065
\(738\) 113231. + 922394.i 0.207900 + 1.69357i
\(739\) 396910.i 0.726781i −0.931637 0.363390i \(-0.881619\pi\)
0.931637 0.363390i \(-0.118381\pi\)
\(740\) 72913.3 194144.i 0.133151 0.354537i
\(741\) 558475. 337496.i 1.01711 0.614657i
\(742\) 564444. + 814923.i 1.02521 + 1.48016i
\(743\) −831366. + 479989.i −1.50596 + 0.869469i −0.505988 + 0.862541i \(0.668872\pi\)
−0.999976 + 0.00692819i \(0.997795\pi\)
\(744\) −239761. 237522.i −0.433145 0.429099i
\(745\) −14930.1 + 25859.7i −0.0268999 + 0.0465920i
\(746\) 27935.5 + 339217.i 0.0501971 + 0.609536i
\(747\) −215731. 113306.i −0.386609 0.203055i
\(748\) 34250.5 + 206539.i 0.0612158 + 0.369147i
\(749\) 361023. 625310.i 0.643534 1.11463i
\(750\) −226526. 101552.i −0.402713 0.180537i
\(751\) −572212. + 330367.i −1.01456 + 0.585756i −0.912523 0.409025i \(-0.865869\pi\)
−0.102036 + 0.994781i \(0.532536\pi\)
\(752\) −177763. + 203282.i −0.314344 + 0.359470i
\(753\) 20024.1 + 1.00158e6i 0.0353153 + 1.76643i
\(754\) −325044. 153593.i −0.571742 0.270165i
\(755\) 189241.i 0.331987i
\(756\) −135287. 592990.i −0.236707 1.03754i
\(757\) 326842. 0.570356 0.285178 0.958475i \(-0.407947\pi\)
0.285178 + 0.958475i \(0.407947\pi\)
\(758\) −251183. + 531570.i −0.437171 + 0.925171i
\(759\) 524927. 10494.6i 0.911203 0.0182172i
\(760\) −149757. 154410.i −0.259274 0.267330i
\(761\) −164813. 285464.i −0.284591 0.492927i 0.687919 0.725788i \(-0.258525\pi\)
−0.972510 + 0.232861i \(0.925191\pi\)
\(762\) 231056. 515402.i 0.397931 0.887638i
\(763\) 875410. + 505418.i 1.50370 +