Properties

Label 49.4.e.a.8.7
Level $49$
Weight $4$
Character 49.8
Analytic conductor $2.891$
Analytic rank $0$
Dimension $78$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 49 = 7^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 49.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.89109359028\)
Analytic rank: \(0\)
Dimension: \(78\)
Relative dimension: \(13\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 8.7
Character \(\chi\) \(=\) 49.8
Dual form 49.4.e.a.43.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.153998 + 0.193108i) q^{2} +(-8.98937 + 4.32905i) q^{3} +(1.76659 - 7.73995i) q^{4} +(14.2902 - 6.88179i) q^{5} +(-2.22032 - 1.06925i) q^{6} +(-13.6848 - 12.4791i) q^{7} +(3.54697 - 1.70813i) q^{8} +(45.2339 - 56.7215i) q^{9} +O(q^{10})\) \(q+(0.153998 + 0.193108i) q^{2} +(-8.98937 + 4.32905i) q^{3} +(1.76659 - 7.73995i) q^{4} +(14.2902 - 6.88179i) q^{5} +(-2.22032 - 1.06925i) q^{6} +(-13.6848 - 12.4791i) q^{7} +(3.54697 - 1.70813i) q^{8} +(45.2339 - 56.7215i) q^{9} +(3.52959 + 1.69976i) q^{10} +(-13.9285 - 17.4658i) q^{11} +(17.6261 + 77.2249i) q^{12} +(-10.6896 - 13.4043i) q^{13} +(0.302377 - 4.56439i) q^{14} +(-98.6682 + 123.726i) q^{15} +(-56.3462 - 27.1349i) q^{16} +(12.1785 + 53.3575i) q^{17} +17.9193 q^{18} +2.07357 q^{19} +(-28.0198 - 122.763i) q^{20} +(177.040 + 52.9370i) q^{21} +(1.22781 - 5.37940i) q^{22} +(22.4625 - 98.4148i) q^{23} +(-24.4904 + 30.7100i) q^{24} +(78.9141 - 98.9552i) q^{25} +(0.942301 - 4.12849i) q^{26} +(-101.129 + 443.074i) q^{27} +(-120.763 + 83.8739i) q^{28} +(-27.8072 - 121.831i) q^{29} -39.0872 q^{30} +155.641 q^{31} +(-10.4455 - 45.7647i) q^{32} +(200.819 + 96.7092i) q^{33} +(-8.42828 + 10.5687i) q^{34} +(-281.436 - 84.1527i) q^{35} +(-359.112 - 450.312i) q^{36} +(47.3283 + 207.359i) q^{37} +(0.319326 + 0.400423i) q^{38} +(154.121 + 74.2207i) q^{39} +(38.9318 - 48.8190i) q^{40} +(11.6961 - 5.63257i) q^{41} +(17.0413 + 42.3400i) q^{42} +(310.966 + 149.753i) q^{43} +(-159.790 + 76.9509i) q^{44} +(256.055 - 1121.85i) q^{45} +(22.4639 - 10.8180i) q^{46} +(-67.8488 - 85.0797i) q^{47} +623.986 q^{48} +(31.5452 + 341.546i) q^{49} +31.2617 q^{50} +(-340.464 - 426.929i) q^{51} +(-122.633 + 59.0569i) q^{52} +(-47.9243 + 209.970i) q^{53} +(-101.135 + 48.7039i) q^{54} +(-319.237 - 153.736i) q^{55} +(-69.8553 - 20.8876i) q^{56} +(-18.6401 + 8.97660i) q^{57} +(19.2443 - 24.1316i) q^{58} +(7.09251 + 3.41558i) q^{59} +(783.326 + 982.260i) q^{60} +(-25.9624 - 113.749i) q^{61} +(23.9684 + 30.0554i) q^{62} +(-1326.85 + 211.743i) q^{63} +(-304.713 + 382.098i) q^{64} +(-245.002 - 117.987i) q^{65} +(12.2505 + 53.6727i) q^{66} +258.343 q^{67} +434.498 q^{68} +(224.119 + 981.929i) q^{69} +(-27.0902 - 67.3069i) q^{70} +(82.2389 - 360.312i) q^{71} +(63.5555 - 278.455i) q^{72} +(113.679 - 142.549i) q^{73} +(-32.7541 + 41.0724i) q^{74} +(-281.006 + 1231.17i) q^{75} +(3.66315 - 16.0493i) q^{76} +(-27.3488 + 412.830i) q^{77} +(9.40176 + 41.1918i) q^{78} +1376.86 q^{79} -991.935 q^{80} +(-573.124 - 2511.02i) q^{81} +(2.88888 + 1.39121i) q^{82} +(-92.9045 + 116.499i) q^{83} +(722.487 - 1276.76i) q^{84} +(541.228 + 678.678i) q^{85} +(18.9697 + 83.1117i) q^{86} +(777.384 + 974.809i) q^{87} +(-79.2378 - 38.1589i) q^{88} +(725.229 - 909.408i) q^{89} +(256.070 - 123.317i) q^{90} +(-20.9892 + 316.831i) q^{91} +(-722.043 - 347.718i) q^{92} +(-1399.11 + 673.777i) q^{93} +(5.98095 - 26.2043i) q^{94} +(29.6317 - 14.2699i) q^{95} +(292.016 + 366.177i) q^{96} -1237.31 q^{97} +(-61.0974 + 58.6892i) q^{98} -1620.73 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9} + 9 q^{10} - 103 q^{11} + 364 q^{12} - 35 q^{13} + 161 q^{14} - 245 q^{15} - 205 q^{16} - 285 q^{17} + 16 q^{18} + 628 q^{19} + 553 q^{20} - 21 q^{21} - 605 q^{22} + 149 q^{23} + 653 q^{24} - 370 q^{25} - 511 q^{26} - 65 q^{27} + 70 q^{28} - 187 q^{29} + 84 q^{30} + 1276 q^{31} + 1399 q^{32} - 23 q^{33} - 765 q^{34} - 805 q^{35} - 1691 q^{36} - 1531 q^{37} - 1041 q^{38} - 1351 q^{39} - 1759 q^{40} - 301 q^{41} + 3395 q^{42} - 257 q^{43} - 883 q^{44} + 3105 q^{45} + 1593 q^{46} + 733 q^{47} - 1948 q^{48} + 1288 q^{49} + 6148 q^{50} + 1197 q^{51} - 1099 q^{52} - 285 q^{53} + 660 q^{54} + 2641 q^{55} - 1988 q^{56} - 2352 q^{57} + 1173 q^{58} - 3603 q^{59} - 175 q^{60} - 2613 q^{61} - 1927 q^{62} - 3066 q^{63} + 1589 q^{64} - 371 q^{65} - 2175 q^{66} + 352 q^{67} + 6076 q^{68} + 5549 q^{69} - 6293 q^{70} - 2623 q^{71} + 6220 q^{72} + 2039 q^{73} - 2411 q^{74} - 3903 q^{75} + 4130 q^{76} + 1029 q^{77} - 3759 q^{78} + 44 q^{79} - 1608 q^{80} + 1394 q^{81} - 10920 q^{82} - 553 q^{83} - 7798 q^{84} + 497 q^{85} - 2985 q^{86} - 4273 q^{87} - 2197 q^{88} - 3957 q^{89} - 2958 q^{90} + 14119 q^{91} - 9136 q^{92} + 6272 q^{93} + 14912 q^{94} + 5866 q^{95} + 21882 q^{96} - 1540 q^{97} - 2303 q^{98} + 10768 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{6}{7}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.153998 + 0.193108i 0.0544466 + 0.0682739i 0.808309 0.588758i \(-0.200383\pi\)
−0.753863 + 0.657032i \(0.771812\pi\)
\(3\) −8.98937 + 4.32905i −1.73001 + 0.833127i −0.743635 + 0.668585i \(0.766900\pi\)
−0.986370 + 0.164541i \(0.947386\pi\)
\(4\) 1.76659 7.73995i 0.220824 0.967493i
\(5\) 14.2902 6.88179i 1.27815 0.615526i 0.333238 0.942843i \(-0.391859\pi\)
0.944915 + 0.327317i \(0.106144\pi\)
\(6\) −2.22032 1.06925i −0.151074 0.0727533i
\(7\) −13.6848 12.4791i −0.738907 0.673807i
\(8\) 3.54697 1.70813i 0.156755 0.0754894i
\(9\) 45.2339 56.7215i 1.67533 2.10080i
\(10\) 3.52959 + 1.69976i 0.111616 + 0.0537512i
\(11\) −13.9285 17.4658i −0.381782 0.478739i 0.553396 0.832918i \(-0.313332\pi\)
−0.935178 + 0.354179i \(0.884760\pi\)
\(12\) 17.6261 + 77.2249i 0.424018 + 1.85774i
\(13\) −10.6896 13.4043i −0.228059 0.285976i 0.654615 0.755962i \(-0.272831\pi\)
−0.882674 + 0.469986i \(0.844259\pi\)
\(14\) 0.302377 4.56439i 0.00577241 0.0871346i
\(15\) −98.6682 + 123.726i −1.69840 + 2.12973i
\(16\) −56.3462 27.1349i −0.880410 0.423983i
\(17\) 12.1785 + 53.3575i 0.173748 + 0.761240i 0.984433 + 0.175758i \(0.0562377\pi\)
−0.810685 + 0.585482i \(0.800905\pi\)
\(18\) 17.9193 0.234646
\(19\) 2.07357 0.0250374 0.0125187 0.999922i \(-0.496015\pi\)
0.0125187 + 0.999922i \(0.496015\pi\)
\(20\) −28.0198 122.763i −0.313270 1.37253i
\(21\) 177.040 + 52.9370i 1.83968 + 0.550086i
\(22\) 1.22781 5.37940i 0.0118987 0.0521315i
\(23\) 22.4625 98.4148i 0.203642 0.892213i −0.765055 0.643965i \(-0.777288\pi\)
0.968697 0.248248i \(-0.0798547\pi\)
\(24\) −24.4904 + 30.7100i −0.208295 + 0.261194i
\(25\) 78.9141 98.9552i 0.631313 0.791642i
\(26\) 0.942301 4.12849i 0.00710771 0.0311409i
\(27\) −101.129 + 443.074i −0.720823 + 3.15813i
\(28\) −120.763 + 83.8739i −0.815072 + 0.566095i
\(29\) −27.8072 121.831i −0.178058 0.780122i −0.982526 0.186126i \(-0.940407\pi\)
0.804468 0.593996i \(-0.202450\pi\)
\(30\) −39.0872 −0.237877
\(31\) 155.641 0.901739 0.450869 0.892590i \(-0.351114\pi\)
0.450869 + 0.892590i \(0.351114\pi\)
\(32\) −10.4455 45.7647i −0.0577037 0.252817i
\(33\) 200.819 + 96.7092i 1.05934 + 0.510149i
\(34\) −8.42828 + 10.5687i −0.0425129 + 0.0533094i
\(35\) −281.436 84.1527i −1.35918 0.406412i
\(36\) −359.112 450.312i −1.66255 2.08478i
\(37\) 47.3283 + 207.359i 0.210290 + 0.921340i 0.964370 + 0.264558i \(0.0852260\pi\)
−0.754080 + 0.656783i \(0.771917\pi\)
\(38\) 0.319326 + 0.400423i 0.00136320 + 0.00170940i
\(39\) 154.121 + 74.2207i 0.632797 + 0.304739i
\(40\) 38.9318 48.8190i 0.153892 0.192974i
\(41\) 11.6961 5.63257i 0.0445520 0.0214551i −0.411475 0.911421i \(-0.634986\pi\)
0.456027 + 0.889966i \(0.349272\pi\)
\(42\) 17.0413 + 42.3400i 0.0626079 + 0.155553i
\(43\) 310.966 + 149.753i 1.10283 + 0.531097i 0.894548 0.446972i \(-0.147497\pi\)
0.208285 + 0.978068i \(0.433212\pi\)
\(44\) −159.790 + 76.9509i −0.547484 + 0.263654i
\(45\) 256.055 1121.85i 0.848232 3.71635i
\(46\) 22.4639 10.8180i 0.0720025 0.0346746i
\(47\) −67.8488 85.0797i −0.210569 0.264046i 0.665319 0.746559i \(-0.268295\pi\)
−0.875889 + 0.482513i \(0.839724\pi\)
\(48\) 623.986 1.87634
\(49\) 31.5452 + 341.546i 0.0919685 + 0.995762i
\(50\) 31.2617 0.0884214
\(51\) −340.464 426.929i −0.934795 1.17220i
\(52\) −122.633 + 59.0569i −0.327041 + 0.157495i
\(53\) −47.9243 + 209.970i −0.124206 + 0.544181i 0.874087 + 0.485770i \(0.161461\pi\)
−0.998293 + 0.0584113i \(0.981397\pi\)
\(54\) −101.135 + 48.7039i −0.254864 + 0.122736i
\(55\) −319.237 153.736i −0.782652 0.376905i
\(56\) −69.8553 20.8876i −0.166693 0.0498432i
\(57\) −18.6401 + 8.97660i −0.0433148 + 0.0208593i
\(58\) 19.2443 24.1316i 0.0435673 0.0546317i
\(59\) 7.09251 + 3.41558i 0.0156503 + 0.00753678i 0.441693 0.897166i \(-0.354378\pi\)
−0.426042 + 0.904703i \(0.640093\pi\)
\(60\) 783.326 + 982.260i 1.68545 + 2.11349i
\(61\) −25.9624 113.749i −0.0544941 0.238754i 0.940345 0.340224i \(-0.110503\pi\)
−0.994839 + 0.101469i \(0.967646\pi\)
\(62\) 23.9684 + 30.0554i 0.0490966 + 0.0615652i
\(63\) −1326.85 + 211.743i −2.65344 + 0.423446i
\(64\) −304.713 + 382.098i −0.595143 + 0.746286i
\(65\) −245.002 117.987i −0.467520 0.225146i
\(66\) 12.2505 + 53.6727i 0.0228474 + 0.100101i
\(67\) 258.343 0.471068 0.235534 0.971866i \(-0.424316\pi\)
0.235534 + 0.971866i \(0.424316\pi\)
\(68\) 434.498 0.774863
\(69\) 224.119 + 981.929i 0.391025 + 1.71319i
\(70\) −27.0902 67.3069i −0.0462556 0.114924i
\(71\) 82.2389 360.312i 0.137464 0.602270i −0.858523 0.512775i \(-0.828617\pi\)
0.995987 0.0894952i \(-0.0285254\pi\)
\(72\) 63.5555 278.455i 0.104029 0.455781i
\(73\) 113.679 142.549i 0.182262 0.228549i −0.682304 0.731069i \(-0.739022\pi\)
0.864566 + 0.502519i \(0.167593\pi\)
\(74\) −32.7541 + 41.0724i −0.0514539 + 0.0645212i
\(75\) −281.006 + 1231.17i −0.432637 + 1.89551i
\(76\) 3.66315 16.0493i 0.00552885 0.0242235i
\(77\) −27.3488 + 412.830i −0.0404764 + 0.610991i
\(78\) 9.40176 + 41.1918i 0.0136479 + 0.0597956i
\(79\) 1376.86 1.96087 0.980433 0.196853i \(-0.0630721\pi\)
0.980433 + 0.196853i \(0.0630721\pi\)
\(80\) −991.935 −1.38627
\(81\) −573.124 2511.02i −0.786179 3.44447i
\(82\) 2.88888 + 1.39121i 0.00389053 + 0.00187358i
\(83\) −92.9045 + 116.499i −0.122863 + 0.154065i −0.839459 0.543424i \(-0.817128\pi\)
0.716596 + 0.697488i \(0.245699\pi\)
\(84\) 722.487 1276.76i 0.938450 1.65841i
\(85\) 541.228 + 678.678i 0.690640 + 0.866035i
\(86\) 18.9697 + 83.1117i 0.0237855 + 0.104211i
\(87\) 777.384 + 974.809i 0.957981 + 1.20127i
\(88\) −79.2378 38.1589i −0.0959861 0.0462245i
\(89\) 725.229 909.408i 0.863754 1.08311i −0.132017 0.991247i \(-0.542145\pi\)
0.995771 0.0918661i \(-0.0292832\pi\)
\(90\) 256.070 123.317i 0.299913 0.144431i
\(91\) −20.9892 + 316.831i −0.0241787 + 0.364978i
\(92\) −722.043 347.718i −0.818241 0.394044i
\(93\) −1399.11 + 673.777i −1.56001 + 0.751263i
\(94\) 5.98095 26.2043i 0.00656264 0.0287528i
\(95\) 29.6317 14.2699i 0.0320016 0.0154111i
\(96\) 292.016 + 366.177i 0.310456 + 0.389300i
\(97\) −1237.31 −1.29515 −0.647574 0.762003i \(-0.724216\pi\)
−0.647574 + 0.762003i \(0.724216\pi\)
\(98\) −61.0974 + 58.6892i −0.0629772 + 0.0604949i
\(99\) −1620.73 −1.64534
\(100\) −626.499 785.605i −0.626499 0.785605i
\(101\) −1121.89 + 540.272i −1.10527 + 0.532268i −0.895310 0.445443i \(-0.853046\pi\)
−0.209955 + 0.977711i \(0.567332\pi\)
\(102\) 30.0123 131.493i 0.0291340 0.127644i
\(103\) −596.511 + 287.265i −0.570641 + 0.274806i −0.696873 0.717195i \(-0.745426\pi\)
0.126232 + 0.992001i \(0.459712\pi\)
\(104\) −60.8120 29.2855i −0.0573376 0.0276123i
\(105\) 2894.24 461.872i 2.68999 0.429277i
\(106\) −47.9271 + 23.0805i −0.0439159 + 0.0211488i
\(107\) 1169.97 1467.09i 1.05706 1.32551i 0.113777 0.993506i \(-0.463705\pi\)
0.943279 0.332000i \(-0.107724\pi\)
\(108\) 3250.71 + 1565.46i 2.89630 + 1.39478i
\(109\) 650.311 + 815.465i 0.571454 + 0.716581i 0.980629 0.195875i \(-0.0627547\pi\)
−0.409175 + 0.912456i \(0.634183\pi\)
\(110\) −19.4742 85.3222i −0.0168800 0.0739560i
\(111\) −1323.12 1659.14i −1.13140 1.41873i
\(112\) 432.466 + 1074.48i 0.364859 + 0.906510i
\(113\) 1055.25 1323.24i 0.878493 1.10160i −0.115625 0.993293i \(-0.536887\pi\)
0.994118 0.108302i \(-0.0345414\pi\)
\(114\) −4.60400 2.21717i −0.00378249 0.00182155i
\(115\) −356.276 1560.95i −0.288895 1.26573i
\(116\) −992.093 −0.794082
\(117\) −1243.85 −0.982852
\(118\) 0.432661 + 1.89561i 0.000337540 + 0.00147886i
\(119\) 499.192 882.160i 0.384545 0.679559i
\(120\) −138.633 + 607.390i −0.105462 + 0.462057i
\(121\) 185.125 811.085i 0.139087 0.609380i
\(122\) 17.9676 22.5306i 0.0133337 0.0167199i
\(123\) −80.7573 + 101.267i −0.0592004 + 0.0742349i
\(124\) 274.954 1204.65i 0.199126 0.872426i
\(125\) 5.53571 24.2535i 0.00396103 0.0173544i
\(126\) −245.221 223.616i −0.173381 0.158106i
\(127\) 340.190 + 1490.47i 0.237693 + 1.04140i 0.943077 + 0.332575i \(0.107918\pi\)
−0.705384 + 0.708826i \(0.749225\pi\)
\(128\) −496.244 −0.342674
\(129\) −3443.68 −2.35038
\(130\) −14.9458 65.4816i −0.0100833 0.0441778i
\(131\) 1969.64 + 948.527i 1.31365 + 0.632619i 0.953814 0.300397i \(-0.0971192\pi\)
0.359834 + 0.933016i \(0.382833\pi\)
\(132\) 1103.29 1383.48i 0.727492 0.912247i
\(133\) −28.3763 25.8762i −0.0185003 0.0168703i
\(134\) 39.7843 + 49.8880i 0.0256481 + 0.0321617i
\(135\) 1603.99 + 7027.55i 1.02259 + 4.48026i
\(136\) 134.338 + 168.455i 0.0847015 + 0.106212i
\(137\) −1280.84 616.822i −0.798759 0.384662i −0.0104527 0.999945i \(-0.503327\pi\)
−0.788306 + 0.615284i \(0.789042\pi\)
\(138\) −155.104 + 194.494i −0.0956764 + 0.119974i
\(139\) −69.4787 + 33.4592i −0.0423964 + 0.0204170i −0.454962 0.890511i \(-0.650347\pi\)
0.412565 + 0.910928i \(0.364633\pi\)
\(140\) −1148.52 + 2029.64i −0.693341 + 1.22525i
\(141\) 978.233 + 471.092i 0.584270 + 0.281370i
\(142\) 82.2438 39.6065i 0.0486038 0.0234064i
\(143\) −85.2272 + 373.405i −0.0498395 + 0.218361i
\(144\) −4087.89 + 1968.62i −2.36568 + 1.13925i
\(145\) −1235.79 1549.63i −0.707770 0.887516i
\(146\) 45.0337 0.0255275
\(147\) −1762.14 2933.73i −0.988702 1.64605i
\(148\) 1688.56 0.937828
\(149\) 560.342 + 702.647i 0.308087 + 0.386329i 0.911637 0.410996i \(-0.134819\pi\)
−0.603550 + 0.797325i \(0.706248\pi\)
\(150\) −281.023 + 135.333i −0.152969 + 0.0736662i
\(151\) −459.745 + 2014.28i −0.247772 + 1.08556i 0.685975 + 0.727625i \(0.259376\pi\)
−0.933747 + 0.357934i \(0.883481\pi\)
\(152\) 7.35489 3.54193i 0.00392474 0.00189005i
\(153\) 3577.40 + 1722.78i 1.89030 + 0.910319i
\(154\) −83.9323 + 58.2939i −0.0439186 + 0.0305029i
\(155\) 2224.14 1071.09i 1.15256 0.555044i
\(156\) 846.733 1061.77i 0.434570 0.544933i
\(157\) −499.417 240.507i −0.253871 0.122258i 0.302620 0.953111i \(-0.402139\pi\)
−0.556492 + 0.830853i \(0.687853\pi\)
\(158\) 212.034 + 265.882i 0.106763 + 0.133876i
\(159\) −478.162 2094.96i −0.238495 1.04492i
\(160\) −464.211 582.102i −0.229369 0.287620i
\(161\) −1535.52 + 1066.47i −0.751652 + 0.522048i
\(162\) 396.638 497.368i 0.192363 0.241215i
\(163\) −1722.39 829.462i −0.827659 0.398579i −0.0284221 0.999596i \(-0.509048\pi\)
−0.799237 + 0.601017i \(0.794763\pi\)
\(164\) −22.9335 100.478i −0.0109195 0.0478416i
\(165\) 3535.27 1.66800
\(166\) −36.8039 −0.0172081
\(167\) −514.433 2253.88i −0.238371 1.04437i −0.942475 0.334276i \(-0.891508\pi\)
0.704104 0.710097i \(-0.251349\pi\)
\(168\) 718.379 114.641i 0.329905 0.0526474i
\(169\) 423.470 1855.34i 0.192749 0.844489i
\(170\) −47.7099 + 209.031i −0.0215246 + 0.0943054i
\(171\) 93.7957 117.616i 0.0419458 0.0525984i
\(172\) 1708.43 2142.31i 0.757364 0.949705i
\(173\) −401.320 + 1758.30i −0.176369 + 0.772722i 0.806919 + 0.590662i \(0.201133\pi\)
−0.983288 + 0.182060i \(0.941724\pi\)
\(174\) −68.5273 + 300.238i −0.0298566 + 0.130810i
\(175\) −2314.79 + 369.402i −0.999896 + 0.159567i
\(176\) 310.886 + 1362.08i 0.133147 + 0.583356i
\(177\) −78.5435 −0.0333542
\(178\) 287.298 0.120977
\(179\) 797.111 + 3492.37i 0.332843 + 1.45828i 0.813599 + 0.581426i \(0.197505\pi\)
−0.480757 + 0.876854i \(0.659638\pi\)
\(180\) −8230.72 3963.71i −3.40823 1.64132i
\(181\) 1034.61 1297.36i 0.424872 0.532772i −0.522614 0.852569i \(-0.675043\pi\)
0.947486 + 0.319797i \(0.103615\pi\)
\(182\) −64.4149 + 44.7383i −0.0262349 + 0.0182210i
\(183\) 725.809 + 910.136i 0.293188 + 0.367646i
\(184\) −88.4314 387.443i −0.0354307 0.155232i
\(185\) 2103.33 + 2637.49i 0.835892 + 1.04818i
\(186\) −345.573 166.419i −0.136229 0.0656045i
\(187\) 762.302 955.896i 0.298102 0.373808i
\(188\) −778.373 + 374.845i −0.301961 + 0.145417i
\(189\) 6913.07 4801.36i 2.66059 1.84787i
\(190\) 7.31886 + 3.52458i 0.00279456 + 0.00134579i
\(191\) −2588.23 + 1246.43i −0.980514 + 0.472190i −0.854282 0.519810i \(-0.826003\pi\)
−0.126232 + 0.992001i \(0.540288\pi\)
\(192\) 1085.06 4753.95i 0.407850 1.78691i
\(193\) −131.941 + 63.5394i −0.0492089 + 0.0236978i −0.458326 0.888784i \(-0.651551\pi\)
0.409117 + 0.912482i \(0.365837\pi\)
\(194\) −190.543 238.933i −0.0705164 0.0884248i
\(195\) 2713.19 0.996387
\(196\) 2699.28 + 359.215i 0.983702 + 0.130909i
\(197\) 3039.31 1.09920 0.549599 0.835429i \(-0.314781\pi\)
0.549599 + 0.835429i \(0.314781\pi\)
\(198\) −249.589 312.975i −0.0895835 0.112334i
\(199\) −3539.19 + 1704.38i −1.26074 + 0.607138i −0.940369 0.340155i \(-0.889520\pi\)
−0.320367 + 0.947294i \(0.603806\pi\)
\(200\) 110.878 485.787i 0.0392012 0.171752i
\(201\) −2322.34 + 1118.38i −0.814950 + 0.392459i
\(202\) −277.099 133.444i −0.0965180 0.0464806i
\(203\) −1139.81 + 2014.24i −0.394083 + 0.696414i
\(204\) −3905.87 + 1880.97i −1.34052 + 0.645559i
\(205\) 128.378 160.981i 0.0437381 0.0548458i
\(206\) −147.335 70.9527i −0.0498316 0.0239976i
\(207\) −4566.17 5725.79i −1.53319 1.92256i
\(208\) 238.593 + 1045.34i 0.0795359 + 0.348469i
\(209\) −28.8817 36.2165i −0.00955881 0.0119864i
\(210\) 534.899 + 487.772i 0.175769 + 0.160283i
\(211\) −2317.44 + 2905.97i −0.756108 + 0.948130i −0.999764 0.0217320i \(-0.993082\pi\)
0.243655 + 0.969862i \(0.421653\pi\)
\(212\) 1540.49 + 741.863i 0.499064 + 0.240336i
\(213\) 820.535 + 3595.00i 0.263954 + 1.15646i
\(214\) 463.480 0.148051
\(215\) 5474.33 1.73649
\(216\) 398.127 + 1744.31i 0.125413 + 0.549469i
\(217\) −2129.91 1942.25i −0.666302 0.607598i
\(218\) −57.3257 + 251.160i −0.0178100 + 0.0780309i
\(219\) −404.801 + 1773.55i −0.124904 + 0.547239i
\(220\) −1753.87 + 2199.29i −0.537482 + 0.673981i
\(221\) 585.038 733.615i 0.178072 0.223295i
\(222\) 116.635 511.010i 0.0352613 0.154490i
\(223\) 363.330 1591.85i 0.109105 0.478020i −0.890624 0.454740i \(-0.849732\pi\)
0.999729 0.0232796i \(-0.00741079\pi\)
\(224\) −428.157 + 756.629i −0.127712 + 0.225689i
\(225\) −2043.29 8952.26i −0.605421 2.65252i
\(226\) 418.036 0.123041
\(227\) 4417.04 1.29149 0.645747 0.763552i \(-0.276546\pi\)
0.645747 + 0.763552i \(0.276546\pi\)
\(228\) 36.5489 + 160.131i 0.0106163 + 0.0465130i
\(229\) 4118.80 + 1983.51i 1.18855 + 0.572375i 0.920391 0.391000i \(-0.127871\pi\)
0.268158 + 0.963375i \(0.413585\pi\)
\(230\) 246.565 309.183i 0.0706871 0.0886388i
\(231\) −1541.31 3829.48i −0.439009 1.09074i
\(232\) −306.735 384.634i −0.0868024 0.108847i
\(233\) −262.249 1148.99i −0.0737360 0.323058i 0.924585 0.380975i \(-0.124411\pi\)
−0.998321 + 0.0579163i \(0.981554\pi\)
\(234\) −191.550 240.196i −0.0535130 0.0671031i
\(235\) −1555.07 748.883i −0.431667 0.207880i
\(236\) 38.9660 48.8618i 0.0107477 0.0134772i
\(237\) −12377.1 + 5960.48i −3.39231 + 1.63365i
\(238\) 247.227 39.4533i 0.0673333 0.0107453i
\(239\) 1059.49 + 510.225i 0.286749 + 0.138091i 0.571729 0.820442i \(-0.306273\pi\)
−0.284980 + 0.958533i \(0.591987\pi\)
\(240\) 8916.87 4294.14i 2.39826 1.15494i
\(241\) −640.169 + 2804.76i −0.171108 + 0.749671i 0.814437 + 0.580253i \(0.197046\pi\)
−0.985544 + 0.169419i \(0.945811\pi\)
\(242\) 185.136 89.1567i 0.0491776 0.0236827i
\(243\) 8371.75 + 10497.8i 2.21008 + 2.77135i
\(244\) −926.273 −0.243027
\(245\) 2801.24 + 4663.67i 0.730467 + 1.21613i
\(246\) −31.9918 −0.00829157
\(247\) −22.1656 27.7948i −0.00570998 0.00716009i
\(248\) 552.053 265.855i 0.141352 0.0680717i
\(249\) 330.825 1449.44i 0.0841975 0.368893i
\(250\) 5.53604 2.66601i 0.00140052 0.000674454i
\(251\) −2625.82 1264.53i −0.660321 0.317994i 0.0735414 0.997292i \(-0.476570\pi\)
−0.733862 + 0.679298i \(0.762284\pi\)
\(252\) −705.120 + 10643.8i −0.176263 + 2.66070i
\(253\) −2031.76 + 978.445i −0.504884 + 0.243139i
\(254\) −235.433 + 295.223i −0.0581589 + 0.0729290i
\(255\) −7803.33 3757.89i −1.91633 0.922855i
\(256\) 2361.29 + 2960.96i 0.576486 + 0.722890i
\(257\) −772.118 3382.87i −0.187406 0.821081i −0.977977 0.208711i \(-0.933073\pi\)
0.790571 0.612370i \(-0.209784\pi\)
\(258\) −530.321 665.001i −0.127970 0.160470i
\(259\) 1939.97 3428.27i 0.465421 0.822480i
\(260\) −1346.03 + 1687.87i −0.321067 + 0.402605i
\(261\) −8168.29 3933.64i −1.93718 0.932898i
\(262\) 120.153 + 526.424i 0.0283323 + 0.124132i
\(263\) −868.871 −0.203714 −0.101857 0.994799i \(-0.532478\pi\)
−0.101857 + 0.994799i \(0.532478\pi\)
\(264\) 877.490 0.204567
\(265\) 760.123 + 3330.31i 0.176204 + 0.771998i
\(266\) 0.627001 9.46459i 0.000144526 0.00218162i
\(267\) −2582.48 + 11314.6i −0.591929 + 2.59341i
\(268\) 456.386 1999.56i 0.104023 0.455755i
\(269\) 2394.93 3003.14i 0.542830 0.680687i −0.432451 0.901658i \(-0.642351\pi\)
0.975280 + 0.220971i \(0.0709225\pi\)
\(270\) −1110.06 + 1391.97i −0.250208 + 0.313751i
\(271\) 255.953 1121.40i 0.0573727 0.251366i −0.938106 0.346347i \(-0.887422\pi\)
0.995479 + 0.0949809i \(0.0302790\pi\)
\(272\) 761.638 3336.95i 0.169783 0.743869i
\(273\) −1182.90 2938.98i −0.262243 0.651557i
\(274\) −78.1347 342.331i −0.0172273 0.0754779i
\(275\) −2827.49 −0.620014
\(276\) 7996.00 1.74385
\(277\) 1131.60 + 4957.87i 0.245456 + 1.07541i 0.935966 + 0.352091i \(0.114529\pi\)
−0.690510 + 0.723323i \(0.742614\pi\)
\(278\) −17.1608 8.26422i −0.00370230 0.00178293i
\(279\) 7040.24 8828.18i 1.51071 1.89437i
\(280\) −1141.99 + 182.243i −0.243739 + 0.0388967i
\(281\) −2112.47 2648.96i −0.448468 0.562362i 0.505285 0.862953i \(-0.331387\pi\)
−0.953753 + 0.300591i \(0.902816\pi\)
\(282\) 59.6747 + 261.452i 0.0126013 + 0.0552100i
\(283\) −4411.62 5532.00i −0.926657 1.16199i −0.986496 0.163783i \(-0.947630\pi\)
0.0598398 0.998208i \(-0.480941\pi\)
\(284\) −2643.51 1273.05i −0.552337 0.265992i
\(285\) −204.595 + 256.555i −0.0425235 + 0.0533227i
\(286\) −85.2322 + 41.0457i −0.0176220 + 0.00848630i
\(287\) −230.348 68.8768i −0.0473764 0.0141661i
\(288\) −3068.33 1477.63i −0.627789 0.302327i
\(289\) 1727.76 832.044i 0.351670 0.169356i
\(290\) 108.936 477.281i 0.0220585 0.0966445i
\(291\) 11122.6 5356.36i 2.24061 1.07902i
\(292\) −902.498 1131.70i −0.180872 0.226807i
\(293\) −5500.06 −1.09665 −0.548323 0.836267i \(-0.684734\pi\)
−0.548323 + 0.836267i \(0.684734\pi\)
\(294\) 295.158 792.073i 0.0585509 0.157125i
\(295\) 124.859 0.0246425
\(296\) 522.068 + 654.653i 0.102516 + 0.128550i
\(297\) 9147.20 4405.06i 1.78712 0.860631i
\(298\) −49.3948 + 216.413i −0.00960190 + 0.0420687i
\(299\) −1559.30 + 750.920i −0.301594 + 0.145240i
\(300\) 9032.76 + 4349.95i 1.73836 + 0.837148i
\(301\) −2386.71 5929.90i −0.457035 1.13553i
\(302\) −459.772 + 221.415i −0.0876057 + 0.0421887i
\(303\) 7746.18 9713.41i 1.46867 1.84165i
\(304\) −116.838 56.2661i −0.0220431 0.0106154i
\(305\) −1153.80 1446.82i −0.216611 0.271622i
\(306\) 218.230 + 956.129i 0.0407692 + 0.178622i
\(307\) 3902.06 + 4893.03i 0.725415 + 0.909642i 0.998631 0.0523107i \(-0.0166586\pi\)
−0.273215 + 0.961953i \(0.588087\pi\)
\(308\) 3146.97 + 940.980i 0.582192 + 0.174082i
\(309\) 4118.68 5164.66i 0.758264 0.950832i
\(310\) 549.348 + 264.552i 0.100648 + 0.0484695i
\(311\) −1774.32 7773.82i −0.323514 1.41741i −0.831253 0.555895i \(-0.812376\pi\)
0.507739 0.861511i \(-0.330481\pi\)
\(312\) 673.441 0.122199
\(313\) 1547.88 0.279525 0.139763 0.990185i \(-0.455366\pi\)
0.139763 + 0.990185i \(0.455366\pi\)
\(314\) −30.4657 133.479i −0.00547541 0.0239893i
\(315\) −17503.7 + 12156.9i −3.13087 + 2.17449i
\(316\) 2432.34 10656.8i 0.433006 1.89712i
\(317\) −1432.36 + 6275.58i −0.253783 + 1.11190i 0.673986 + 0.738744i \(0.264581\pi\)
−0.927770 + 0.373154i \(0.878276\pi\)
\(318\) 330.918 414.958i 0.0583552 0.0731751i
\(319\) −1740.57 + 2182.60i −0.305496 + 0.383079i
\(320\) −1724.89 + 7557.23i −0.301326 + 1.32019i
\(321\) −4166.15 + 18253.1i −0.724398 + 3.17380i
\(322\) −442.411 132.286i −0.0765672 0.0228945i
\(323\) 25.2530 + 110.640i 0.00435019 + 0.0190594i
\(324\) −20447.6 −3.50611
\(325\) −2169.99 −0.370367
\(326\) −105.070 460.344i −0.0178506 0.0782088i
\(327\) −9376.08 4515.28i −1.58562 0.763595i
\(328\) 31.8647 39.9571i 0.00536413 0.00672641i
\(329\) −133.222 + 2010.99i −0.0223245 + 0.336988i
\(330\) 544.426 + 682.688i 0.0908171 + 0.113881i
\(331\) 248.134 + 1087.15i 0.0412045 + 0.180529i 0.991343 0.131301i \(-0.0419154\pi\)
−0.950138 + 0.311829i \(0.899058\pi\)
\(332\) 737.568 + 924.882i 0.121926 + 0.152890i
\(333\) 13902.6 + 6695.12i 2.28785 + 1.10177i
\(334\) 356.020 446.434i 0.0583249 0.0731371i
\(335\) 3691.76 1777.86i 0.602097 0.289955i
\(336\) −8539.09 7786.76i −1.38645 1.26429i
\(337\) −4816.18 2319.35i −0.778499 0.374905i 0.00205180 0.999998i \(-0.499347\pi\)
−0.780551 + 0.625093i \(0.785061\pi\)
\(338\) 423.495 203.944i 0.0681511 0.0328199i
\(339\) −3757.66 + 16463.4i −0.602029 + 2.63766i
\(340\) 6209.06 2990.13i 0.990393 0.476948i
\(341\) −2167.84 2718.39i −0.344268 0.431698i
\(342\) 37.1570 0.00587491
\(343\) 3830.50 5067.63i 0.602995 0.797745i
\(344\) 1358.78 0.212967
\(345\) 9960.13 + 12489.6i 1.55431 + 1.94904i
\(346\) −401.344 + 193.277i −0.0623594 + 0.0300307i
\(347\) 1497.62 6561.52i 0.231691 1.01510i −0.716547 0.697539i \(-0.754278\pi\)
0.948237 0.317563i \(-0.102865\pi\)
\(348\) 8918.29 4294.82i 1.37377 0.661571i
\(349\) 9787.76 + 4713.54i 1.50122 + 0.722951i 0.990592 0.136849i \(-0.0436974\pi\)
0.510631 + 0.859800i \(0.329412\pi\)
\(350\) −427.808 390.117i −0.0653352 0.0595789i
\(351\) 7020.13 3380.72i 1.06754 0.514101i
\(352\) −653.826 + 819.872i −0.0990030 + 0.124146i
\(353\) 902.225 + 434.488i 0.136036 + 0.0655113i 0.500663 0.865642i \(-0.333089\pi\)
−0.364628 + 0.931153i \(0.618804\pi\)
\(354\) −12.0956 15.1674i −0.00181602 0.00227722i
\(355\) −1304.38 5714.88i −0.195013 0.854407i
\(356\) −5757.59 7219.79i −0.857167 1.07485i
\(357\) −668.506 + 10091.1i −0.0991066 + 1.49602i
\(358\) −551.650 + 691.748i −0.0814403 + 0.102123i
\(359\) −11337.8 5459.98i −1.66681 0.802693i −0.998256 0.0590270i \(-0.981200\pi\)
−0.668552 0.743666i \(-0.733086\pi\)
\(360\) −1008.05 4416.55i −0.147580 0.646590i
\(361\) −6854.70 −0.999373
\(362\) 409.858 0.0595073
\(363\) 1847.07 + 8092.56i 0.267069 + 1.17011i
\(364\) 2415.18 + 722.167i 0.347774 + 0.103989i
\(365\) 643.503 2819.37i 0.0922807 0.404308i
\(366\) −63.9809 + 280.319i −0.00913753 + 0.0400342i
\(367\) 4890.84 6132.92i 0.695639 0.872304i −0.301050 0.953608i \(-0.597337\pi\)
0.996689 + 0.0813041i \(0.0259085\pi\)
\(368\) −3936.15 + 4935.78i −0.557571 + 0.699172i
\(369\) 209.575 918.206i 0.0295664 0.129539i
\(370\) −185.411 + 812.339i −0.0260515 + 0.114139i
\(371\) 3276.06 2275.34i 0.458449 0.318409i
\(372\) 2743.34 + 12019.3i 0.382353 + 1.67520i
\(373\) −5554.72 −0.771080 −0.385540 0.922691i \(-0.625985\pi\)
−0.385540 + 0.922691i \(0.625985\pi\)
\(374\) 301.984 0.0417520
\(375\) 55.2323 + 241.988i 0.00760582 + 0.0333233i
\(376\) −385.985 185.880i −0.0529405 0.0254948i
\(377\) −1335.82 + 1675.07i −0.182489 + 0.228834i
\(378\) 1991.78 + 595.566i 0.271022 + 0.0810387i
\(379\) 4093.93 + 5133.63i 0.554858 + 0.695769i 0.977598 0.210481i \(-0.0675031\pi\)
−0.422740 + 0.906251i \(0.638932\pi\)
\(380\) −58.1010 254.557i −0.00784346 0.0343645i
\(381\) −9510.42 11925.7i −1.27883 1.60360i
\(382\) −639.279 307.860i −0.0856240 0.0412343i
\(383\) −5982.55 + 7501.89i −0.798157 + 1.00086i 0.201614 + 0.979465i \(0.435381\pi\)
−0.999771 + 0.0213924i \(0.993190\pi\)
\(384\) 4460.93 2148.27i 0.592827 0.285491i
\(385\) 2450.19 + 6087.62i 0.324346 + 0.805855i
\(386\) −32.5887 15.6939i −0.00429720 0.00206942i
\(387\) 22560.4 10864.5i 2.96333 1.42707i
\(388\) −2185.81 + 9576.68i −0.286000 + 1.25305i
\(389\) −3904.58 + 1880.35i −0.508921 + 0.245083i −0.670680 0.741747i \(-0.733998\pi\)
0.161759 + 0.986830i \(0.448283\pi\)
\(390\) 417.826 + 523.938i 0.0542499 + 0.0680272i
\(391\) 5524.72 0.714571
\(392\) 695.295 + 1157.57i 0.0895860 + 0.149148i
\(393\) −21812.0 −2.79967
\(394\) 468.049 + 586.915i 0.0598476 + 0.0750466i
\(395\) 19675.5 9475.24i 2.50629 1.20696i
\(396\) −2863.16 + 12544.3i −0.363332 + 1.59186i
\(397\) −12903.9 + 6214.18i −1.63130 + 0.785594i −0.631353 + 0.775496i \(0.717500\pi\)
−0.999949 + 0.0100981i \(0.996786\pi\)
\(398\) −874.159 420.973i −0.110095 0.0530187i
\(399\) 367.105 + 109.769i 0.0460607 + 0.0137727i
\(400\) −7131.65 + 3434.42i −0.891457 + 0.429303i
\(401\) −1505.72 + 1888.11i −0.187511 + 0.235132i −0.866697 0.498835i \(-0.833762\pi\)
0.679186 + 0.733966i \(0.262333\pi\)
\(402\) −573.604 276.233i −0.0711660 0.0342718i
\(403\) −1663.74 2086.26i −0.205649 0.257876i
\(404\) 2199.76 + 9637.77i 0.270896 + 1.18687i
\(405\) −25470.4 31938.8i −3.12502 3.91865i
\(406\) −564.494 + 90.0840i −0.0690034 + 0.0110118i
\(407\) 2962.47 3714.82i 0.360797 0.452425i
\(408\) −1936.87 932.746i −0.235022 0.113181i
\(409\) 2495.01 + 10931.4i 0.301639 + 1.32157i 0.867653 + 0.497170i \(0.165628\pi\)
−0.566014 + 0.824396i \(0.691515\pi\)
\(410\) 50.8567 0.00612593
\(411\) 14184.2 1.70233
\(412\) 1169.62 + 5124.45i 0.139862 + 0.612775i
\(413\) −54.4361 135.249i −0.00648578 0.0161143i
\(414\) 402.513 1763.53i 0.0477837 0.209354i
\(415\) −525.904 + 2304.14i −0.0622063 + 0.272544i
\(416\) −501.787 + 629.221i −0.0591398 + 0.0741589i
\(417\) 479.723 601.554i 0.0563361 0.0706432i
\(418\) 2.54596 11.1546i 0.000297911 0.00130523i
\(419\) 2504.32 10972.2i 0.291991 1.27930i −0.589759 0.807579i \(-0.700777\pi\)
0.881750 0.471717i \(-0.156366\pi\)
\(420\) 1538.07 23217.2i 0.178691 2.69734i
\(421\) 2514.46 + 11016.6i 0.291086 + 1.27533i 0.883017 + 0.469342i \(0.155509\pi\)
−0.591931 + 0.805989i \(0.701634\pi\)
\(422\) −918.047 −0.105900
\(423\) −7894.91 −0.907479
\(424\) 188.670 + 826.618i 0.0216100 + 0.0946795i
\(425\) 6241.05 + 3005.53i 0.712319 + 0.343035i
\(426\) −567.861 + 712.075i −0.0645844 + 0.0809863i
\(427\) −1064.19 + 1880.61i −0.120608 + 0.213136i
\(428\) −9288.36 11647.2i −1.04900 1.31540i
\(429\) −850.350 3725.63i −0.0956999 0.419289i
\(430\) 843.038 + 1057.14i 0.0945462 + 0.118557i
\(431\) −6735.18 3243.49i −0.752719 0.362491i 0.0178550 0.999841i \(-0.494316\pi\)
−0.770574 + 0.637350i \(0.780031\pi\)
\(432\) 17721.0 22221.4i 1.97361 2.47483i
\(433\) −5425.62 + 2612.84i −0.602168 + 0.289989i −0.710024 0.704178i \(-0.751316\pi\)
0.107856 + 0.994167i \(0.465602\pi\)
\(434\) 47.0623 710.405i 0.00520521 0.0785727i
\(435\) 17817.4 + 8580.41i 1.96386 + 0.945745i
\(436\) 7460.49 3592.78i 0.819478 0.394640i
\(437\) 46.5776 204.070i 0.00509865 0.0223387i
\(438\) −404.825 + 194.954i −0.0441628 + 0.0212677i
\(439\) 9848.98 + 12350.2i 1.07077 + 1.34270i 0.936071 + 0.351810i \(0.114434\pi\)
0.134694 + 0.990887i \(0.456995\pi\)
\(440\) −1394.92 −0.151137
\(441\) 20799.9 + 13660.2i 2.24597 + 1.47502i
\(442\) 231.762 0.0249407
\(443\) 1548.60 + 1941.88i 0.166086 + 0.208265i 0.857909 0.513802i \(-0.171764\pi\)
−0.691823 + 0.722067i \(0.743192\pi\)
\(444\) −15179.1 + 7309.85i −1.62245 + 0.781329i
\(445\) 4105.30 17986.5i 0.437325 1.91605i
\(446\) 363.352 174.981i 0.0385767 0.0185776i
\(447\) −8078.92 3890.60i −0.854854 0.411676i
\(448\) 8938.17 1426.38i 0.942609 0.150425i
\(449\) 13042.1 6280.73i 1.37081 0.660147i 0.403790 0.914852i \(-0.367693\pi\)
0.967019 + 0.254705i \(0.0819783\pi\)
\(450\) 1414.09 1773.21i 0.148135 0.185755i
\(451\) −261.287 125.829i −0.0272805 0.0131376i
\(452\) −8377.63 10505.2i −0.871794 1.09319i
\(453\) −4587.09 20097.3i −0.475762 2.08445i
\(454\) 680.216 + 852.964i 0.0703175 + 0.0881753i
\(455\) 1880.43 + 4672.02i 0.193749 + 0.481380i
\(456\) −50.7826 + 63.6794i −0.00521517 + 0.00653961i
\(457\) 13202.4 + 6357.95i 1.35138 + 0.650793i 0.962698 0.270577i \(-0.0872146\pi\)
0.388687 + 0.921370i \(0.372929\pi\)
\(458\) 251.257 + 1100.83i 0.0256342 + 0.112311i
\(459\) −24872.9 −2.52934
\(460\) −12711.1 −1.28838
\(461\) −201.738 883.872i −0.0203815 0.0892973i 0.963714 0.266936i \(-0.0860113\pi\)
−0.984096 + 0.177639i \(0.943154\pi\)
\(462\) 502.142 887.373i 0.0505666 0.0893600i
\(463\) 1090.46 4777.63i 0.109456 0.479558i −0.890254 0.455465i \(-0.849473\pi\)
0.999710 0.0240933i \(-0.00766987\pi\)
\(464\) −1739.05 + 7619.28i −0.173995 + 0.762320i
\(465\) −15356.8 + 19256.8i −1.53151 + 1.92046i
\(466\) 181.492 227.584i 0.0180418 0.0226237i
\(467\) −697.977 + 3058.04i −0.0691617 + 0.303017i −0.997664 0.0683089i \(-0.978240\pi\)
0.928503 + 0.371326i \(0.121097\pi\)
\(468\) −2197.37 + 9627.30i −0.217037 + 0.950902i
\(469\) −3535.35 3223.88i −0.348076 0.317409i
\(470\) −94.8633 415.623i −0.00931004 0.0407900i
\(471\) 5530.61 0.541055
\(472\) 30.9912 0.00302221
\(473\) −1715.73 7517.10i −0.166785 0.730733i
\(474\) −3057.06 1472.20i −0.296236 0.142660i
\(475\) 163.634 205.191i 0.0158064 0.0198206i
\(476\) −5946.00 5422.14i −0.572552 0.522108i
\(477\) 9742.01 + 12216.1i 0.935128 + 1.17261i
\(478\) 64.6318 + 283.170i 0.00618449 + 0.0270960i
\(479\) 6661.33 + 8353.05i 0.635416 + 0.796786i 0.990421 0.138078i \(-0.0440925\pi\)
−0.355006 + 0.934864i \(0.615521\pi\)
\(480\) 6692.92 + 3223.14i 0.636434 + 0.306491i
\(481\) 2273.59 2850.99i 0.215523 0.270258i
\(482\) −640.207 + 308.307i −0.0604992 + 0.0291349i
\(483\) 9186.55 16234.3i 0.865430 1.52937i
\(484\) −5950.71 2865.71i −0.558857 0.269131i
\(485\) −17681.3 + 8514.88i −1.65540 + 0.797197i
\(486\) −737.980 + 3233.30i −0.0688795 + 0.301781i
\(487\) −1319.15 + 635.271i −0.122745 + 0.0591107i −0.494248 0.869321i \(-0.664557\pi\)
0.371504 + 0.928431i \(0.378842\pi\)
\(488\) −286.385 359.116i −0.0265657 0.0333123i
\(489\) 19074.0 1.76392
\(490\) −469.206 + 1259.14i −0.0432583 + 0.116086i
\(491\) −7285.35 −0.669620 −0.334810 0.942286i \(-0.608672\pi\)
−0.334810 + 0.942286i \(0.608672\pi\)
\(492\) 641.132 + 803.954i 0.0587489 + 0.0736688i
\(493\) 6161.96 2967.45i 0.562923 0.271089i
\(494\) 1.95393 8.56072i 0.000177958 0.000779686i
\(495\) −23160.5 + 11153.5i −2.10300 + 1.01275i
\(496\) −8769.77 4223.30i −0.793899 0.382322i
\(497\) −5621.78 + 3904.52i −0.507387 + 0.352398i
\(498\) 330.844 159.326i 0.0297700 0.0143365i
\(499\) 1040.75 1305.05i 0.0933671 0.117079i −0.732953 0.680279i \(-0.761859\pi\)
0.826320 + 0.563200i \(0.190430\pi\)
\(500\) −177.942 85.6922i −0.0159156 0.00766454i
\(501\) 14381.6 + 18033.9i 1.28248 + 1.60818i
\(502\) −160.182 701.803i −0.0142416 0.0623964i
\(503\) 4974.64 + 6238.00i 0.440970 + 0.552959i 0.951799 0.306723i \(-0.0992327\pi\)
−0.510828 + 0.859683i \(0.670661\pi\)
\(504\) −4344.60 + 3017.47i −0.383976 + 0.266684i
\(505\) −12313.9 + 15441.2i −1.08507 + 1.36064i
\(506\) −501.833 241.670i −0.0440893 0.0212323i
\(507\) 4225.15 + 18511.6i 0.370109 + 1.62156i
\(508\) 12137.1 1.06004
\(509\) 2176.61 0.189541 0.0947705 0.995499i \(-0.469788\pi\)
0.0947705 + 0.995499i \(0.469788\pi\)
\(510\) −476.023 2085.59i −0.0413307 0.181082i
\(511\) −3334.55 + 532.139i −0.288673 + 0.0460674i
\(512\) −1091.55 + 4782.39i −0.0942189 + 0.412800i
\(513\) −209.697 + 918.745i −0.0180475 + 0.0790713i
\(514\) 534.354 670.059i 0.0458548 0.0575000i
\(515\) −6547.36 + 8210.13i −0.560216 + 0.702489i
\(516\) −6083.57 + 26653.9i −0.519020 + 2.27398i
\(517\) −540.952 + 2370.06i −0.0460175 + 0.201616i
\(518\) 960.778 153.324i 0.0814945 0.0130052i
\(519\) −4004.15 17543.3i −0.338656 1.48375i
\(520\) −1070.55 −0.0902823
\(521\) 12665.4 1.06503 0.532515 0.846420i \(-0.321247\pi\)
0.532515 + 0.846420i \(0.321247\pi\)
\(522\) −498.286 2183.13i −0.0417805 0.183052i
\(523\) −19095.6 9195.95i −1.59654 0.768855i −0.597098 0.802168i \(-0.703680\pi\)
−0.999445 + 0.0333133i \(0.989394\pi\)
\(524\) 10821.1 13569.2i 0.902140 1.13125i
\(525\) 19209.4 13341.5i 1.59689 1.10909i
\(526\) −133.805 167.786i −0.0110916 0.0139084i
\(527\) 1895.47 + 8304.60i 0.156675 + 0.686440i
\(528\) −8691.18 10898.4i −0.716354 0.898280i
\(529\) 1781.18 + 857.772i 0.146395 + 0.0704999i
\(530\) −526.052 + 659.648i −0.0431137 + 0.0540628i
\(531\) 514.559 247.798i 0.0420526 0.0202515i
\(532\) −250.410 + 173.918i −0.0204073 + 0.0141735i
\(533\) −200.528 96.5692i −0.0162961 0.00784780i
\(534\) −2582.63 + 1243.73i −0.209291 + 0.100789i
\(535\) 6622.83 29016.5i 0.535196 2.34485i
\(536\) 916.333 441.283i 0.0738424 0.0355606i
\(537\) −22284.2 27943.5i −1.79075 2.24553i
\(538\) 948.745 0.0760284
\(539\) 5526.00 5308.19i 0.441598 0.424193i
\(540\) 57226.5 4.56044
\(541\) 3658.71 + 4587.87i 0.290758 + 0.364599i 0.905660 0.424004i \(-0.139376\pi\)
−0.614902 + 0.788603i \(0.710804\pi\)
\(542\) 255.968 123.268i 0.0202855 0.00976899i
\(543\) −3684.15 + 16141.3i −0.291164 + 1.27567i
\(544\) 2314.68 1114.69i 0.182428 0.0878528i
\(545\) 14904.9 + 7177.83i 1.17148 + 0.564155i
\(546\) 385.375 681.025i 0.0302061 0.0533795i
\(547\) 3781.64 1821.14i 0.295596 0.142352i −0.280208 0.959939i \(-0.590403\pi\)
0.575804 + 0.817588i \(0.304689\pi\)
\(548\) −7036.90 + 8823.99i −0.548543 + 0.687851i
\(549\) −7626.37 3672.67i −0.592870 0.285511i
\(550\) −435.428 546.010i −0.0337577 0.0423308i
\(551\) −57.6602 252.626i −0.00445809 0.0195322i
\(552\) 2472.20 + 3100.05i 0.190623 + 0.239034i
\(553\) −18841.9 17181.9i −1.44890 1.32125i
\(554\) −783.139 + 982.025i −0.0600585 + 0.0753109i
\(555\) −30325.5 14604.0i −2.31936 1.11695i
\(556\) 136.232 + 596.870i 0.0103912 + 0.0455268i
\(557\) −2751.46 −0.209305 −0.104653 0.994509i \(-0.533373\pi\)
−0.104653 + 0.994509i \(0.533373\pi\)
\(558\) 2788.97 0.211589
\(559\) −1316.76 5769.09i −0.0996295 0.436506i
\(560\) 13574.4 + 12378.4i 1.02433 + 0.934079i
\(561\) −2714.49 + 11893.0i −0.204288 + 0.895046i
\(562\) 186.217 815.870i 0.0139770 0.0612374i
\(563\) −7375.66 + 9248.79i −0.552126 + 0.692344i −0.977080 0.212870i \(-0.931719\pi\)
0.424954 + 0.905215i \(0.360290\pi\)
\(564\) 5374.37 6739.24i 0.401244 0.503144i
\(565\) 5973.45 26171.4i 0.444788 1.94874i
\(566\) 388.890 1703.84i 0.0288803 0.126533i
\(567\) −23492.2 + 41514.8i −1.74000 + 3.07488i
\(568\) −323.761 1418.49i −0.0239168 0.104786i
\(569\) 960.148 0.0707408 0.0353704 0.999374i \(-0.488739\pi\)
0.0353704 + 0.999374i \(0.488739\pi\)
\(570\) −81.0500 −0.00595581
\(571\) −603.477 2644.01i −0.0442290 0.193780i 0.947987 0.318309i \(-0.103115\pi\)
−0.992216 + 0.124529i \(0.960258\pi\)
\(572\) 2739.57 + 1319.31i 0.200257 + 0.0964388i
\(573\) 17870.8 22409.2i 1.30290 1.63378i
\(574\) −22.1726 55.0890i −0.00161231 0.00400587i
\(575\) −7966.04 9989.10i −0.577751 0.724477i
\(576\) 7889.83 + 34567.6i 0.570734 + 2.50055i
\(577\) 1267.51 + 1589.41i 0.0914510 + 0.114676i 0.825452 0.564473i \(-0.190921\pi\)
−0.734001 + 0.679149i \(0.762349\pi\)
\(578\) 426.746 + 205.510i 0.0307098 + 0.0147891i
\(579\) 911.001 1142.36i 0.0653885 0.0819945i
\(580\) −14177.2 + 6827.37i −1.01496 + 0.488778i
\(581\) 2725.17 434.892i 0.194594 0.0310540i
\(582\) 2747.22 + 1322.99i 0.195663 + 0.0942263i
\(583\) 4334.80 2087.53i 0.307940 0.148296i
\(584\) 159.724 699.796i 0.0113175 0.0495852i
\(585\) −17774.8 + 8559.89i −1.25623 + 0.604971i
\(586\) −847.001 1062.11i −0.0597087 0.0748723i
\(587\) −16417.0 −1.15435 −0.577173 0.816622i \(-0.695844\pi\)
−0.577173 + 0.816622i \(0.695844\pi\)
\(588\) −25819.9 + 8456.20i −1.81087 + 0.593075i
\(589\) 322.732 0.0225772
\(590\) 19.2280 + 24.1112i 0.00134170 + 0.00168244i
\(591\) −27321.5 + 13157.3i −1.90162 + 0.915771i
\(592\) 2959.89 12968.1i 0.205491 0.900316i
\(593\) 23458.3 11296.9i 1.62448 0.782309i 0.624483 0.781038i \(-0.285310\pi\)
0.999999 0.00127109i \(-0.000404601\pi\)
\(594\) 2259.31 + 1088.02i 0.156061 + 0.0751552i
\(595\) 1062.71 16041.6i 0.0732214 1.10528i
\(596\) 6428.35 3095.73i 0.441804 0.212762i
\(597\) 24436.7 30642.7i 1.67526 2.10071i
\(598\) −385.138 185.473i −0.0263369 0.0126832i
\(599\) 11360.8 + 14246.0i 0.774944 + 0.971749i 0.999997 0.00259795i \(-0.000826954\pi\)
−0.225053 + 0.974347i \(0.572256\pi\)
\(600\) 1106.28 + 4846.91i 0.0752726 + 0.329791i
\(601\) 13346.8 + 16736.4i 0.905869 + 1.13592i 0.990224 + 0.139488i \(0.0445456\pi\)
−0.0843551 + 0.996436i \(0.526883\pi\)
\(602\) 777.561 1374.09i 0.0526429 0.0930293i
\(603\) 11685.8 14653.6i 0.789194 0.989618i
\(604\) 14778.2 + 7116.81i 0.995557 + 0.479435i
\(605\) −2936.25 12864.5i −0.197315 0.864493i
\(606\) 3068.63 0.205701
\(607\) −15396.6 −1.02954 −0.514769 0.857329i \(-0.672122\pi\)
−0.514769 + 0.857329i \(0.672122\pi\)
\(608\) −21.6595 94.8963i −0.00144475 0.00632986i
\(609\) 1526.40 23041.1i 0.101565 1.53312i
\(610\) 101.709 445.616i 0.00675094 0.0295778i
\(611\) −415.160 + 1818.94i −0.0274887 + 0.120436i
\(612\) 19654.1 24645.4i 1.29815 1.62783i
\(613\) −12995.5 + 16295.8i −0.856251 + 1.07370i 0.140249 + 0.990116i \(0.455210\pi\)
−0.996500 + 0.0835886i \(0.973362\pi\)
\(614\) −343.972 + 1507.04i −0.0226084 + 0.0990539i
\(615\) −457.143 + 2002.87i −0.0299736 + 0.131323i
\(616\) 608.162 + 1511.01i 0.0397785 + 0.0988317i
\(617\) −4133.09 18108.3i −0.269679 1.18154i −0.910387 0.413757i \(-0.864216\pi\)
0.640708 0.767784i \(-0.278641\pi\)
\(618\) 1631.61 0.106202
\(619\) −1570.70 −0.101990 −0.0509949 0.998699i \(-0.516239\pi\)
−0.0509949 + 0.998699i \(0.516239\pi\)
\(620\) −4361.02 19106.9i −0.282488 1.23766i
\(621\) 41333.4 + 19905.1i 2.67094 + 1.28626i
\(622\) 1227.94 1539.79i 0.0791576 0.0992605i
\(623\) −21273.2 + 3394.84i −1.36804 + 0.218317i
\(624\) −6670.16 8364.11i −0.427917 0.536590i
\(625\) 3432.72 + 15039.7i 0.219694 + 0.962541i
\(626\) 238.371 + 298.908i 0.0152192 + 0.0190843i
\(627\) 416.412 + 200.533i 0.0265230 + 0.0127728i
\(628\) −2743.77 + 3440.58i −0.174345 + 0.218621i
\(629\) −10487.8 + 5050.64i −0.664824 + 0.320162i
\(630\) −5043.14 1507.96i −0.318926 0.0953627i
\(631\) 24.4838 + 11.7908i 0.00154466 + 0.000743871i 0.434656 0.900597i \(-0.356870\pi\)
−0.433111 + 0.901340i \(0.642584\pi\)
\(632\) 4883.67 2351.85i 0.307376 0.148025i
\(633\) 8252.18 36155.2i 0.518159 2.27020i
\(634\) −1432.44 + 689.829i −0.0897313 + 0.0432123i
\(635\) 15118.5 + 18958.0i 0.944817 + 1.18476i
\(636\) −17059.6 −1.06361
\(637\) 4241.00 4073.84i 0.263790 0.253393i
\(638\) −689.522 −0.0427875
\(639\) −16717.5 20963.0i −1.03495 1.29779i
\(640\) −7091.43 + 3415.05i −0.437989 + 0.210925i
\(641\) 690.621 3025.81i 0.0425552 0.186447i −0.949183 0.314725i \(-0.898088\pi\)
0.991738 + 0.128278i \(0.0409450\pi\)
\(642\) −4166.40 + 2006.43i −0.256129 + 0.123345i
\(643\) 2348.38 + 1130.92i 0.144030 + 0.0693611i 0.504510 0.863406i \(-0.331673\pi\)
−0.360481 + 0.932767i \(0.617387\pi\)
\(644\) 5541.79 + 13768.9i 0.339095 + 0.842499i
\(645\) −49210.8 + 23698.7i −3.00414 + 1.44672i
\(646\) −17.4766 + 21.9150i −0.00106441 + 0.00133473i
\(647\) 26461.3 + 12743.1i 1.60788 + 0.774316i 0.999809 0.0195623i \(-0.00622727\pi\)
0.608076 + 0.793879i \(0.291942\pi\)
\(648\) −6322.00 7927.54i −0.383259 0.480592i
\(649\) −39.1324 171.450i −0.00236684 0.0103698i
\(650\) −334.175 419.042i −0.0201653 0.0252864i
\(651\) 27554.6 + 8239.16i 1.65891 + 0.496034i
\(652\) −9462.76 + 11865.9i −0.568390 + 0.712738i
\(653\) 5591.70 + 2692.82i 0.335100 + 0.161376i 0.593865 0.804565i \(-0.297601\pi\)
−0.258765 + 0.965940i \(0.583316\pi\)
\(654\) −571.965 2505.94i −0.0341981 0.149832i
\(655\) 34674.0 2.06844
\(656\) −811.873 −0.0483206
\(657\) −2943.45 12896.1i −0.174787 0.765791i
\(658\) −408.853 + 283.962i −0.0242230 + 0.0168237i
\(659\) −2500.74 + 10956.5i −0.147822 + 0.647653i 0.845665 + 0.533714i \(0.179204\pi\)
−0.993488 + 0.113939i \(0.963653\pi\)
\(660\) 6245.38 27362.8i 0.368335 1.61378i
\(661\) −5305.30 + 6652.64i −0.312182 + 0.391464i −0.913025 0.407903i \(-0.866260\pi\)
0.600843 + 0.799367i \(0.294832\pi\)
\(662\) −171.724 + 215.335i −0.0100819 + 0.0126424i
\(663\) −2083.27 + 9127.40i −0.122032 + 0.534659i
\(664\) −130.535 + 571.910i −0.00762911 + 0.0334253i
\(665\) −583.578 174.497i −0.0340303 0.0101755i
\(666\) 848.091 + 3715.73i 0.0493436 + 0.216189i
\(667\) −12614.6 −0.732295
\(668\) −18353.7 −1.06306
\(669\) 3625.11 + 15882.6i 0.209499 + 0.917875i
\(670\) 911.844 + 439.121i 0.0525785 + 0.0253205i
\(671\) −1625.09 + 2037.80i −0.0934962 + 0.117241i
\(672\) 573.377 8655.13i 0.0329144 0.496844i
\(673\) 11165.4 + 14001.0i 0.639518 + 0.801930i 0.990943 0.134286i \(-0.0428741\pi\)
−0.351425 + 0.936216i \(0.614303\pi\)
\(674\) −293.799 1287.22i −0.0167904 0.0735635i
\(675\) 35864.0 + 44972.0i 2.04504 + 2.56440i
\(676\) −13612.2 6555.27i −0.774474 0.372967i
\(677\) −4151.85 + 5206.26i −0.235700 + 0.295558i −0.885588 0.464472i \(-0.846244\pi\)
0.649888 + 0.760030i \(0.274816\pi\)
\(678\) −3757.88 + 1809.70i −0.212862 + 0.102509i
\(679\) 16932.2 + 15440.4i 0.956994 + 0.872680i
\(680\) 3078.99 + 1482.76i 0.173638 + 0.0836197i
\(681\) −39706.4 + 19121.6i −2.23429 + 1.07598i
\(682\) 191.098 837.254i 0.0107295 0.0470090i
\(683\) −29390.6 + 14153.8i −1.64656 + 0.792941i −0.647023 + 0.762471i \(0.723986\pi\)
−0.999536 + 0.0304702i \(0.990300\pi\)
\(684\) −744.643 933.753i −0.0416259 0.0521973i
\(685\) −22548.3 −1.25771
\(686\) 1568.49 40.7087i 0.0872962 0.00226569i
\(687\) −45612.1 −2.53306
\(688\) −13458.2 16876.1i −0.745769 0.935165i
\(689\) 3326.80 1602.10i 0.183949 0.0885852i
\(690\) −877.997 + 3846.76i −0.0484417 + 0.212237i
\(691\) −17034.8 + 8203.51i −0.937819 + 0.451630i −0.839399 0.543515i \(-0.817093\pi\)
−0.0984195 + 0.995145i \(0.531379\pi\)
\(692\) 12900.2 + 6212.39i 0.708657 + 0.341271i
\(693\) 22179.2 + 20225.2i 1.21576 + 1.10864i
\(694\) 1497.71 721.260i 0.0819198 0.0394505i
\(695\) −762.604 + 956.276i −0.0416219 + 0.0521922i
\(696\) 4422.46 + 2129.74i 0.240852 + 0.115988i
\(697\) 442.981 + 555.481i 0.0240733 + 0.0301870i
\(698\) 597.078 + 2615.97i 0.0323779 + 0.141857i
\(699\) 7331.47 + 9193.38i 0.396712 + 0.497461i
\(700\) −1230.14 + 18568.9i −0.0664212 + 1.00263i
\(701\) 12369.6 15510.9i 0.666465 0.835720i −0.327565 0.944829i \(-0.606228\pi\)
0.994030 + 0.109108i \(0.0347996\pi\)
\(702\) 1733.93 + 835.018i 0.0932237 + 0.0448942i
\(703\) 98.1386 + 429.973i 0.00526510 + 0.0230679i
\(704\) 10917.9 0.584491
\(705\) 17221.1 0.919977
\(706\) 55.0380 + 241.137i 0.00293397 + 0.0128546i
\(707\) 22094.8 + 6606.61i 1.17533 + 0.351439i
\(708\) −138.754 + 607.922i −0.00736540 + 0.0322699i
\(709\) 6163.71 27005.0i 0.326492 1.43046i −0.499275 0.866444i \(-0.666400\pi\)
0.825767 0.564011i \(-0.190743\pi\)
\(710\) 902.715 1131.97i 0.0477159 0.0598338i
\(711\) 62280.6 78097.4i 3.28510 4.11938i
\(712\) 1018.98 4464.43i 0.0536345 0.234988i
\(713\) 3496.09 15317.4i 0.183632 0.804543i
\(714\) −2051.62 + 1424.92i −0.107535 + 0.0746866i
\(715\) 1351.78 + 5922.54i 0.0707045 + 0.309777i
\(716\) 28438.9 1.48438
\(717\) −11733.0 −0.611124
\(718\) −691.632 3030.24i −0.0359491 0.157503i
\(719\) −5998.04 2888.51i −0.311112 0.149823i 0.271812 0.962350i \(-0.412377\pi\)
−0.582924 + 0.812527i \(0.698091\pi\)
\(720\) −44869.1 + 56264.0i −2.32246 + 2.91227i
\(721\) 11747.9 + 3512.76i 0.606817 + 0.181445i
\(722\) −1055.61 1323.70i −0.0544125 0.0682311i
\(723\) −6387.26 27984.4i −0.328554 1.43949i
\(724\) −8213.74 10299.7i −0.421632 0.528710i
\(725\) −14250.2 6862.55i −0.729987 0.351543i
\(726\) −1278.29 + 1602.92i −0.0653468 + 0.0819423i
\(727\) 13986.2 6735.38i 0.713504 0.343606i −0.0416683 0.999132i \(-0.513267\pi\)
0.755173 + 0.655526i \(0.227553\pi\)
\(728\) 466.742 + 1159.64i 0.0237618 + 0.0590374i
\(729\) −58048.2 27954.5i −2.94915 1.42024i
\(730\) 643.541 309.913i 0.0326281 0.0157129i
\(731\) −4203.36 + 18416.1i −0.212677 + 0.931798i
\(732\) 8326.61 4009.89i 0.420438 0.202472i
\(733\) 20008.2 + 25089.5i 1.00821 + 1.26426i 0.964186 + 0.265228i \(0.0854471\pi\)
0.0440262 + 0.999030i \(0.485981\pi\)
\(734\) 1937.50 0.0974309
\(735\) −45370.7 29796.8i −2.27690 1.49533i
\(736\) −4738.55 −0.237317
\(737\) −3598.32 4512.15i −0.179845 0.225519i
\(738\) 209.587 100.932i 0.0104539 0.00503435i
\(739\) −3541.52 + 15516.4i −0.176288 + 0.772368i 0.807035 + 0.590503i \(0.201071\pi\)
−0.983323 + 0.181865i \(0.941787\pi\)
\(740\) 24129.8 11620.3i 1.19869 0.577257i
\(741\) 319.581 + 153.902i 0.0158436 + 0.00762986i
\(742\) 943.894 + 282.235i 0.0467000 + 0.0139639i
\(743\) 30843.0 14853.2i 1.52291 0.733393i 0.529530 0.848291i \(-0.322368\pi\)
0.993377 + 0.114898i \(0.0366540\pi\)
\(744\) −3811.71 + 4779.73i −0.187828 + 0.235529i
\(745\) 12842.9 + 6184.80i 0.631579 + 0.304152i
\(746\) −855.418 1072.66i −0.0419827 0.0526446i
\(747\) 2405.54 + 10539.4i 0.117824 + 0.516219i
\(748\) −6051.91 7588.86i −0.295829 0.370957i
\(749\) −34318.7 + 5476.69i −1.67420 + 0.267175i
\(750\) −38.2242 + 47.9316i −0.00186100 + 0.00233362i
\(751\) −19904.3 9585.40i −0.967134 0.465747i −0.117473 0.993076i \(-0.537479\pi\)
−0.849661 + 0.527329i \(0.823194\pi\)
\(752\) 1514.39 + 6634.99i 0.0734365 + 0.321746i
\(753\) 29078.7 1.40729
\(754\) −529.183 −0.0255593
\(755\) 7291.98 + 31948.2i 0.351500 + 1.54002i
\(756\) −24949.7 61988.9i −1.20028 2.98216i
\(757\) 5978.29 26192.6i 0.287034 1.25758i −0.601539 0.798843i \(-0.705446\pi\)
0.888573 0.458735i \(-0.151697\pi\)
\(758\) −360.885 + 1581.14i −0.0172928 + 0.0757646i
\(759\) 14028.5 17591.2i 0.670887 0.841265i
\(760\) 80.7279 101.230i 0.00385304 0.00483156i
\(761\) −3482.77 + 15259.0i −0.165900 + 0.726857i 0.821707 + 0.569911i \(0.193022\pi\)
−0.987607 + 0.156947i \(0.949835\pi\)
\(762\) 838.355 3673.07i 0.0398562 0.174621i
\(763\) 1276.89 19274.7i 0.0605854 0.914537i
\(764\) 5074.93 + 22234.7i 0.240320 + 1.05291i
\(765\) 62977.5 2.97641
\(766\) −2369.98 −0.111789
\(767\) −30.0326 131.582i −0.00141384 0.00619444i
\(768\) −34044.6 16395.0i −1.59958 0.770319i
\(769\) −4026.14 + 5048.62i −0.188799 + 0.236746i −0.867218 0.497929i \(-0.834094\pi\)
0.678419 + 0.734675i \(0.262665\pi\)
\(770\) −798.243 + 1410.63i