Properties

Label 18.5.d.a.5.2
Level $18$
Weight $5$
Character 18.5
Analytic conductor $1.861$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 18 = 2 \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 18.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.86065933551\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(4\) over \(\Q(\zeta_{6})\)
Coefficient field: 8.0.221456830464.4
Defining polynomial: \( x^{8} - 4x^{7} + 38x^{6} - 100x^{5} + 449x^{4} - 736x^{3} + 1900x^{2} - 1548x + 2307 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{4}\cdot 3^{4} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 5.2
Root \(0.500000 + 3.16175i\) of defining polynomial
Character \(\chi\) \(=\) 18.5
Dual form 18.5.d.a.11.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.44949 + 1.41421i) q^{2} +(6.85811 - 5.82806i) q^{3} +(4.00000 - 6.92820i) q^{4} +(37.0033 + 21.3638i) q^{5} +(-8.55675 + 23.9746i) q^{6} +(-19.8424 - 34.3680i) q^{7} +22.6274i q^{8} +(13.0674 - 79.9390i) q^{9} +O(q^{10})\) \(q+(-2.44949 + 1.41421i) q^{2} +(6.85811 - 5.82806i) q^{3} +(4.00000 - 6.92820i) q^{4} +(37.0033 + 21.3638i) q^{5} +(-8.55675 + 23.9746i) q^{6} +(-19.8424 - 34.3680i) q^{7} +22.6274i q^{8} +(13.0674 - 79.9390i) q^{9} -120.852 q^{10} +(-139.941 + 80.7947i) q^{11} +(-12.9455 - 70.8266i) q^{12} +(-36.6403 + 63.4629i) q^{13} +(97.2073 + 56.1227i) q^{14} +(378.282 - 69.1416i) q^{15} +(-32.0000 - 55.4256i) q^{16} +65.0171i q^{17} +(81.0423 + 214.290i) q^{18} -163.911 q^{19} +(296.026 - 170.911i) q^{20} +(-336.380 - 120.057i) q^{21} +(228.522 - 395.812i) q^{22} +(-185.421 - 107.053i) q^{23} +(131.874 + 155.181i) q^{24} +(600.327 + 1039.80i) q^{25} -207.269i q^{26} +(-376.272 - 624.388i) q^{27} -317.478 q^{28} +(-563.025 + 325.063i) q^{29} +(-828.817 + 704.334i) q^{30} +(633.812 - 1097.79i) q^{31} +(156.767 + 90.5097i) q^{32} +(-488.851 + 1369.68i) q^{33} +(-91.9481 - 159.259i) q^{34} -1695.64i q^{35} +(-501.564 - 410.290i) q^{36} +278.148 q^{37} +(401.498 - 231.805i) q^{38} +(118.582 + 648.778i) q^{39} +(-483.408 + 837.288i) q^{40} +(48.2927 + 27.8818i) q^{41} +(993.745 - 181.635i) q^{42} +(932.851 + 1615.75i) q^{43} +1292.72i q^{44} +(2191.34 - 2678.83i) q^{45} +605.581 q^{46} +(1102.58 - 636.576i) q^{47} +(-542.484 - 193.617i) q^{48} +(413.062 - 715.444i) q^{49} +(-2940.99 - 1697.98i) q^{50} +(378.924 + 445.895i) q^{51} +(293.123 + 507.703i) q^{52} +3580.69i q^{53} +(1804.69 + 997.304i) q^{54} -6904.34 q^{55} +(777.658 - 448.981i) q^{56} +(-1124.12 + 955.284i) q^{57} +(919.416 - 1592.47i) q^{58} +(2934.93 + 1694.48i) q^{59} +(1034.10 - 2897.38i) q^{60} +(-3492.55 - 6049.28i) q^{61} +3585.38i q^{62} +(-3006.63 + 1137.08i) q^{63} -512.000 q^{64} +(-2711.62 + 1565.56i) q^{65} +(-739.585 - 4046.36i) q^{66} +(-958.605 + 1660.35i) q^{67} +(450.452 + 260.069i) q^{68} +(-1895.55 + 346.464i) q^{69} +(2397.99 + 4153.44i) q^{70} -4588.94i q^{71} +(1808.81 + 295.682i) q^{72} +9910.16 q^{73} +(-681.320 + 393.360i) q^{74} +(10177.1 + 3632.30i) q^{75} +(-655.644 + 1135.61i) q^{76} +(5553.50 + 3206.31i) q^{77} +(-1207.98 - 1421.47i) q^{78} +(-974.042 - 1687.09i) q^{79} -2734.57i q^{80} +(-6219.49 - 2089.19i) q^{81} -157.723 q^{82} +(1192.14 - 688.283i) q^{83} +(-2177.30 + 1850.28i) q^{84} +(-1389.02 + 2405.85i) q^{85} +(-4570.02 - 2638.50i) q^{86} +(-1966.80 + 5510.66i) q^{87} +(-1828.18 - 3166.49i) q^{88} -13719.2i q^{89} +(-1579.22 + 9660.80i) q^{90} +2908.12 q^{91} +(-1483.37 + 856.421i) q^{92} +(-2051.26 - 11222.7i) q^{93} +(-1800.51 + 3118.57i) q^{94} +(-6065.24 - 3501.77i) q^{95} +(1602.62 - 292.924i) q^{96} +(4145.57 + 7180.34i) q^{97} +2336.63i q^{98} +(4629.99 + 12242.5i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8 q + 6 q^{3} + 32 q^{4} + 18 q^{5} + 48 q^{6} - 26 q^{7} - 78 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 8 q + 6 q^{3} + 32 q^{4} + 18 q^{5} + 48 q^{6} - 26 q^{7} - 78 q^{9} - 720 q^{11} - 144 q^{12} + 10 q^{13} + 288 q^{14} + 1134 q^{15} - 256 q^{16} - 384 q^{18} + 100 q^{19} + 144 q^{20} + 438 q^{21} + 336 q^{22} + 1278 q^{23} + 384 q^{24} + 794 q^{25} - 1296 q^{27} - 416 q^{28} - 1854 q^{29} - 3456 q^{30} - 1478 q^{31} - 3384 q^{33} - 96 q^{34} + 1056 q^{36} - 32 q^{37} + 6768 q^{38} + 5274 q^{39} - 36 q^{41} + 2592 q^{42} - 68 q^{43} + 3402 q^{45} + 2112 q^{46} + 2214 q^{47} - 1536 q^{48} + 2442 q^{49} - 15552 q^{50} - 12006 q^{51} - 80 q^{52} + 7056 q^{54} - 3996 q^{55} + 2304 q^{56} + 10902 q^{57} - 2400 q^{58} + 9108 q^{59} + 6480 q^{60} - 4478 q^{61} - 6654 q^{63} - 4096 q^{64} - 22554 q^{65} - 19872 q^{66} + 7504 q^{67} - 11088 q^{68} - 5994 q^{69} + 6048 q^{70} + 5376 q^{72} + 20716 q^{73} + 15264 q^{74} + 16590 q^{75} + 400 q^{76} + 34434 q^{77} + 24096 q^{78} - 6050 q^{79} - 21150 q^{81} + 1152 q^{82} - 3834 q^{83} - 9600 q^{84} - 16092 q^{85} - 12528 q^{86} + 10170 q^{87} - 2688 q^{88} + 2592 q^{90} - 45868 q^{91} + 10224 q^{92} - 10926 q^{93} + 672 q^{94} + 20880 q^{95} + 31336 q^{97} - 22338 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/18\mathbb{Z}\right)^\times\).

\(n\) \(11\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.44949 + 1.41421i −0.612372 + 0.353553i
\(3\) 6.85811 5.82806i 0.762012 0.647562i
\(4\) 4.00000 6.92820i 0.250000 0.433013i
\(5\) 37.0033 + 21.3638i 1.48013 + 0.854553i 0.999747 0.0225051i \(-0.00716421\pi\)
0.480383 + 0.877059i \(0.340498\pi\)
\(6\) −8.55675 + 23.9746i −0.237688 + 0.665961i
\(7\) −19.8424 34.3680i −0.404946 0.701387i 0.589369 0.807864i \(-0.299376\pi\)
−0.994315 + 0.106477i \(0.966043\pi\)
\(8\) 22.6274i 0.353553i
\(9\) 13.0674 79.9390i 0.161326 0.986901i
\(10\) −120.852 −1.20852
\(11\) −139.941 + 80.7947i −1.15653 + 0.667725i −0.950471 0.310814i \(-0.899398\pi\)
−0.206062 + 0.978539i \(0.566065\pi\)
\(12\) −12.9455 70.8266i −0.0898996 0.491852i
\(13\) −36.6403 + 63.4629i −0.216807 + 0.375520i −0.953830 0.300347i \(-0.902897\pi\)
0.737023 + 0.675867i \(0.236231\pi\)
\(14\) 97.2073 + 56.1227i 0.495956 + 0.286340i
\(15\) 378.282 69.1416i 1.68125 0.307296i
\(16\) −32.0000 55.4256i −0.125000 0.216506i
\(17\) 65.0171i 0.224973i 0.993653 + 0.112486i \(0.0358815\pi\)
−0.993653 + 0.112486i \(0.964119\pi\)
\(18\) 81.0423 + 214.290i 0.250131 + 0.661388i
\(19\) −163.911 −0.454047 −0.227024 0.973889i \(-0.572899\pi\)
−0.227024 + 0.973889i \(0.572899\pi\)
\(20\) 296.026 170.911i 0.740065 0.427277i
\(21\) −336.380 120.057i −0.762766 0.272238i
\(22\) 228.522 395.812i 0.472153 0.817792i
\(23\) −185.421 107.053i −0.350512 0.202368i 0.314399 0.949291i \(-0.398197\pi\)
−0.664911 + 0.746923i \(0.731530\pi\)
\(24\) 131.874 + 155.181i 0.228948 + 0.269412i
\(25\) 600.327 + 1039.80i 0.960523 + 1.66368i
\(26\) 207.269i 0.306611i
\(27\) −376.272 624.388i −0.516148 0.856500i
\(28\) −317.478 −0.404946
\(29\) −563.025 + 325.063i −0.669471 + 0.386519i −0.795876 0.605460i \(-0.792989\pi\)
0.126405 + 0.991979i \(0.459656\pi\)
\(30\) −828.817 + 704.334i −0.920908 + 0.782593i
\(31\) 633.812 1097.79i 0.659534 1.14235i −0.321203 0.947010i \(-0.604087\pi\)
0.980736 0.195336i \(-0.0625796\pi\)
\(32\) 156.767 + 90.5097i 0.153093 + 0.0883883i
\(33\) −488.851 + 1369.68i −0.448899 + 1.25774i
\(34\) −91.9481 159.259i −0.0795399 0.137767i
\(35\) 1695.64i 1.38419i
\(36\) −501.564 410.290i −0.387009 0.316581i
\(37\) 278.148 0.203176 0.101588 0.994827i \(-0.467608\pi\)
0.101588 + 0.994827i \(0.467608\pi\)
\(38\) 401.498 231.805i 0.278046 0.160530i
\(39\) 118.582 + 648.778i 0.0779633 + 0.426547i
\(40\) −483.408 + 837.288i −0.302130 + 0.523305i
\(41\) 48.2927 + 27.8818i 0.0287286 + 0.0165864i 0.514295 0.857613i \(-0.328053\pi\)
−0.485567 + 0.874199i \(0.661387\pi\)
\(42\) 993.745 181.635i 0.563347 0.102967i
\(43\) 932.851 + 1615.75i 0.504517 + 0.873849i 0.999986 + 0.00522338i \(0.00166266\pi\)
−0.495470 + 0.868625i \(0.665004\pi\)
\(44\) 1292.72i 0.667725i
\(45\) 2191.34 2678.83i 1.08214 1.32288i
\(46\) 605.581 0.286192
\(47\) 1102.58 636.576i 0.499132 0.288174i −0.229223 0.973374i \(-0.573619\pi\)
0.728355 + 0.685200i \(0.240285\pi\)
\(48\) −542.484 193.617i −0.235453 0.0840352i
\(49\) 413.062 715.444i 0.172037 0.297977i
\(50\) −2940.99 1697.98i −1.17640 0.679193i
\(51\) 378.924 + 445.895i 0.145684 + 0.171432i
\(52\) 293.123 + 507.703i 0.108403 + 0.187760i
\(53\) 3580.69i 1.27472i 0.770566 + 0.637360i \(0.219974\pi\)
−0.770566 + 0.637360i \(0.780026\pi\)
\(54\) 1804.69 + 997.304i 0.618893 + 0.342011i
\(55\) −6904.34 −2.28243
\(56\) 777.658 448.981i 0.247978 0.143170i
\(57\) −1124.12 + 955.284i −0.345990 + 0.294024i
\(58\) 919.416 1592.47i 0.273310 0.473387i
\(59\) 2934.93 + 1694.48i 0.843129 + 0.486781i 0.858327 0.513104i \(-0.171504\pi\)
−0.0151977 + 0.999885i \(0.504838\pi\)
\(60\) 1034.10 2897.38i 0.287250 0.804828i
\(61\) −3492.55 6049.28i −0.938606 1.62571i −0.768073 0.640362i \(-0.778784\pi\)
−0.170533 0.985352i \(-0.554549\pi\)
\(62\) 3585.38i 0.932722i
\(63\) −3006.63 + 1137.08i −0.757528 + 0.286490i
\(64\) −512.000 −0.125000
\(65\) −2711.62 + 1565.56i −0.641804 + 0.370546i
\(66\) −739.585 4046.36i −0.169785 0.928916i
\(67\) −958.605 + 1660.35i −0.213545 + 0.369871i −0.952822 0.303531i \(-0.901834\pi\)
0.739276 + 0.673402i \(0.235168\pi\)
\(68\) 450.452 + 260.069i 0.0974161 + 0.0562432i
\(69\) −1895.55 + 346.464i −0.398140 + 0.0727712i
\(70\) 2397.99 + 4153.44i 0.489386 + 0.847641i
\(71\) 4588.94i 0.910323i −0.890409 0.455162i \(-0.849582\pi\)
0.890409 0.455162i \(-0.150418\pi\)
\(72\) 1808.81 + 295.682i 0.348922 + 0.0570373i
\(73\) 9910.16 1.85967 0.929833 0.367981i \(-0.119951\pi\)
0.929833 + 0.367981i \(0.119951\pi\)
\(74\) −681.320 + 393.360i −0.124419 + 0.0718335i
\(75\) 10177.1 + 3632.30i 1.80926 + 0.645742i
\(76\) −655.644 + 1135.61i −0.113512 + 0.196608i
\(77\) 5553.50 + 3206.31i 0.936667 + 0.540785i
\(78\) −1207.98 1421.47i −0.198550 0.233641i
\(79\) −974.042 1687.09i −0.156072 0.270324i 0.777377 0.629035i \(-0.216550\pi\)
−0.933449 + 0.358711i \(0.883216\pi\)
\(80\) 2734.57i 0.427277i
\(81\) −6219.49 2089.19i −0.947948 0.318426i
\(82\) −157.723 −0.0234568
\(83\) 1192.14 688.283i 0.173050 0.0999105i −0.410973 0.911647i \(-0.634811\pi\)
0.584023 + 0.811737i \(0.301478\pi\)
\(84\) −2177.30 + 1850.28i −0.308574 + 0.262228i
\(85\) −1389.02 + 2405.85i −0.192251 + 0.332989i
\(86\) −4570.02 2638.50i −0.617904 0.356747i
\(87\) −1966.80 + 5510.66i −0.259850 + 0.728056i
\(88\) −1828.18 3166.49i −0.236076 0.408896i
\(89\) 13719.2i 1.73200i −0.500044 0.866000i \(-0.666683\pi\)
0.500044 0.866000i \(-0.333317\pi\)
\(90\) −1579.22 + 9660.80i −0.194966 + 1.19269i
\(91\) 2908.12 0.351180
\(92\) −1483.37 + 856.421i −0.175256 + 0.101184i
\(93\) −2051.26 11222.7i −0.237167 1.29757i
\(94\) −1800.51 + 3118.57i −0.203770 + 0.352940i
\(95\) −6065.24 3501.77i −0.672049 0.388008i
\(96\) 1602.62 292.924i 0.173896 0.0317843i
\(97\) 4145.57 + 7180.34i 0.440597 + 0.763136i 0.997734 0.0672848i \(-0.0214336\pi\)
−0.557137 + 0.830420i \(0.688100\pi\)
\(98\) 2336.63i 0.243298i
\(99\) 4629.99 + 12242.5i 0.472400 + 1.24911i
\(100\) 9605.23 0.960523
\(101\) −8020.79 + 4630.80i −0.786275 + 0.453956i −0.838649 0.544672i \(-0.816654\pi\)
0.0523749 + 0.998627i \(0.483321\pi\)
\(102\) −1558.76 556.335i −0.149823 0.0534732i
\(103\) −3969.57 + 6875.49i −0.374170 + 0.648081i −0.990202 0.139639i \(-0.955406\pi\)
0.616033 + 0.787721i \(0.288739\pi\)
\(104\) −1436.00 829.076i −0.132766 0.0766527i
\(105\) −9882.27 11628.9i −0.896351 1.05477i
\(106\) −5063.86 8770.86i −0.450682 0.780604i
\(107\) 5344.76i 0.466832i 0.972377 + 0.233416i \(0.0749905\pi\)
−0.972377 + 0.233416i \(0.925010\pi\)
\(108\) −5830.98 + 109.334i −0.499912 + 0.00937361i
\(109\) 10385.4 0.874121 0.437060 0.899432i \(-0.356020\pi\)
0.437060 + 0.899432i \(0.356020\pi\)
\(110\) 16912.1 9764.21i 1.39769 0.806959i
\(111\) 1907.57 1621.06i 0.154822 0.131569i
\(112\) −1269.91 + 2199.55i −0.101237 + 0.175347i
\(113\) 540.885 + 312.280i 0.0423593 + 0.0244561i 0.521030 0.853538i \(-0.325548\pi\)
−0.478671 + 0.877994i \(0.658881\pi\)
\(114\) 1402.55 3929.70i 0.107921 0.302378i
\(115\) −4574.11 7922.59i −0.345869 0.599062i
\(116\) 5201.00i 0.386519i
\(117\) 4594.37 + 3758.29i 0.335625 + 0.274548i
\(118\) −9585.45 −0.688412
\(119\) 2234.51 1290.09i 0.157793 0.0911018i
\(120\) 1564.50 + 8559.55i 0.108646 + 0.594413i
\(121\) 5735.07 9933.43i 0.391713 0.678466i
\(122\) 17110.0 + 9878.44i 1.14955 + 0.663695i
\(123\) 493.694 90.2363i 0.0326323 0.00596446i
\(124\) −5070.50 8782.36i −0.329767 0.571173i
\(125\) 24596.4i 1.57417i
\(126\) 5756.64 7037.28i 0.362600 0.443265i
\(127\) −9866.20 −0.611706 −0.305853 0.952079i \(-0.598942\pi\)
−0.305853 + 0.952079i \(0.598942\pi\)
\(128\) 1254.14 724.077i 0.0765466 0.0441942i
\(129\) 15814.3 + 5644.25i 0.950320 + 0.339177i
\(130\) 4428.06 7669.63i 0.262015 0.453824i
\(131\) −3255.51 1879.57i −0.189704 0.109526i 0.402140 0.915578i \(-0.368266\pi\)
−0.591844 + 0.806053i \(0.701600\pi\)
\(132\) 7534.02 + 8865.59i 0.432393 + 0.508815i
\(133\) 3252.38 + 5633.29i 0.183865 + 0.318463i
\(134\) 5422.69i 0.301999i
\(135\) −583.947 31143.0i −0.0320410 1.70881i
\(136\) −1471.17 −0.0795399
\(137\) −20987.5 + 12117.2i −1.11820 + 0.645595i −0.940941 0.338569i \(-0.890057\pi\)
−0.177261 + 0.984164i \(0.556724\pi\)
\(138\) 4153.14 3529.37i 0.218082 0.185327i
\(139\) −13308.7 + 23051.3i −0.688818 + 1.19307i 0.283402 + 0.959001i \(0.408537\pi\)
−0.972221 + 0.234067i \(0.924797\pi\)
\(140\) −11747.7 6782.54i −0.599373 0.346048i
\(141\) 3851.63 10791.6i 0.193734 0.542811i
\(142\) 6489.74 + 11240.6i 0.321848 + 0.557457i
\(143\) 11841.4i 0.579069i
\(144\) −4848.83 + 1833.78i −0.233836 + 0.0884346i
\(145\) −27778.3 −1.32120
\(146\) −24274.8 + 14015.1i −1.13881 + 0.657492i
\(147\) −1336.83 7313.94i −0.0618644 0.338467i
\(148\) 1112.59 1927.06i 0.0507939 0.0879777i
\(149\) 5963.79 + 3443.19i 0.268627 + 0.155092i 0.628263 0.778001i \(-0.283766\pi\)
−0.359637 + 0.933092i \(0.617099\pi\)
\(150\) −30065.6 + 5495.32i −1.33625 + 0.244237i
\(151\) −2199.51 3809.66i −0.0964653 0.167083i 0.813754 0.581210i \(-0.197420\pi\)
−0.910219 + 0.414127i \(0.864087\pi\)
\(152\) 3708.88i 0.160530i
\(153\) 5197.40 + 849.605i 0.222026 + 0.0362939i
\(154\) −18137.7 −0.764786
\(155\) 46906.2 27081.3i 1.95239 1.12721i
\(156\) 4969.19 + 1773.55i 0.204191 + 0.0728776i
\(157\) 13928.3 24124.5i 0.565066 0.978723i −0.431978 0.901884i \(-0.642184\pi\)
0.997044 0.0768384i \(-0.0244826\pi\)
\(158\) 4771.81 + 2755.01i 0.191148 + 0.110359i
\(159\) 20868.5 + 24556.8i 0.825461 + 0.971353i
\(160\) 3867.27 + 6698.30i 0.151065 + 0.261653i
\(161\) 8496.71i 0.327793i
\(162\) 18189.1 3678.23i 0.693078 0.140155i
\(163\) 33326.2 1.25433 0.627163 0.778888i \(-0.284216\pi\)
0.627163 + 0.778888i \(0.284216\pi\)
\(164\) 386.342 223.054i 0.0143643 0.00829322i
\(165\) −47350.7 + 40238.9i −1.73924 + 1.47801i
\(166\) −1946.76 + 3371.89i −0.0706474 + 0.122365i
\(167\) −31413.9 18136.8i −1.12639 0.650321i −0.183365 0.983045i \(-0.558699\pi\)
−0.943024 + 0.332724i \(0.892032\pi\)
\(168\) 2716.58 7611.41i 0.0962506 0.269678i
\(169\) 11595.5 + 20084.0i 0.405990 + 0.703195i
\(170\) 7857.46i 0.271884i
\(171\) −2141.89 + 13102.9i −0.0732496 + 0.448100i
\(172\) 14925.6 0.504517
\(173\) 16944.5 9782.89i 0.566155 0.326870i −0.189457 0.981889i \(-0.560673\pi\)
0.755612 + 0.655019i \(0.227339\pi\)
\(174\) −2975.58 16279.8i −0.0982819 0.537712i
\(175\) 23823.8 41264.1i 0.777920 1.34740i
\(176\) 8956.19 + 5170.86i 0.289133 + 0.166931i
\(177\) 30003.6 5484.00i 0.957696 0.175046i
\(178\) 19401.8 + 33605.0i 0.612355 + 1.06063i
\(179\) 11804.4i 0.368416i 0.982887 + 0.184208i \(0.0589720\pi\)
−0.982887 + 0.184208i \(0.941028\pi\)
\(180\) −9794.14 25897.4i −0.302288 0.799302i
\(181\) −191.582 −0.00584788 −0.00292394 0.999996i \(-0.500931\pi\)
−0.00292394 + 0.999996i \(0.500931\pi\)
\(182\) −7123.41 + 4112.70i −0.215053 + 0.124161i
\(183\) −59207.9 21131.8i −1.76798 0.631008i
\(184\) 2422.33 4195.59i 0.0715479 0.123925i
\(185\) 10292.4 + 5942.30i 0.300727 + 0.173625i
\(186\) 20895.8 + 24589.0i 0.603995 + 0.710745i
\(187\) −5253.04 9098.53i −0.150220 0.260188i
\(188\) 10185.2i 0.288174i
\(189\) −13992.8 + 25321.0i −0.391726 + 0.708856i
\(190\) 19809.0 0.548726
\(191\) −17490.1 + 10097.9i −0.479431 + 0.276799i −0.720179 0.693788i \(-0.755940\pi\)
0.240749 + 0.970588i \(0.422607\pi\)
\(192\) −3511.35 + 2983.97i −0.0952516 + 0.0809453i
\(193\) −19464.6 + 33713.7i −0.522555 + 0.905091i 0.477101 + 0.878848i \(0.341688\pi\)
−0.999656 + 0.0262427i \(0.991646\pi\)
\(194\) −20309.1 11725.5i −0.539618 0.311549i
\(195\) −9472.45 + 26540.3i −0.249111 + 0.697969i
\(196\) −3304.49 5723.55i −0.0860187 0.148989i
\(197\) 64572.8i 1.66386i −0.554879 0.831931i \(-0.687235\pi\)
0.554879 0.831931i \(-0.312765\pi\)
\(198\) −28654.6 23440.0i −0.730910 0.597899i
\(199\) −59680.7 −1.50705 −0.753525 0.657420i \(-0.771648\pi\)
−0.753525 + 0.657420i \(0.771648\pi\)
\(200\) −23527.9 + 13583.9i −0.588198 + 0.339596i
\(201\) 3102.42 + 16973.7i 0.0767905 + 0.420130i
\(202\) 13097.9 22686.2i 0.320995 0.555980i
\(203\) 22343.5 + 12900.0i 0.542199 + 0.313039i
\(204\) 4604.94 841.682i 0.110653 0.0202250i
\(205\) 1191.32 + 2063.43i 0.0283480 + 0.0491002i
\(206\) 22455.3i 0.529156i
\(207\) −10980.6 + 13423.4i −0.256264 + 0.313273i
\(208\) 4689.96 0.108403
\(209\) 22937.8 13243.1i 0.525121 0.303179i
\(210\) 40652.2 + 14509.1i 0.921819 + 0.329005i
\(211\) 8899.34 15414.1i 0.199891 0.346221i −0.748602 0.663020i \(-0.769275\pi\)
0.948493 + 0.316798i \(0.102608\pi\)
\(212\) 24807.7 + 14322.8i 0.551970 + 0.318680i
\(213\) −26744.6 31471.5i −0.589491 0.693678i
\(214\) −7558.64 13091.9i −0.165050 0.285875i
\(215\) 79717.2i 1.72455i
\(216\) 14128.3 8514.06i 0.302818 0.182486i
\(217\) −50305.3 −1.06830
\(218\) −25439.0 + 14687.2i −0.535288 + 0.309048i
\(219\) 67965.0 57757.0i 1.41709 1.20425i
\(220\) −27617.4 + 47834.7i −0.570607 + 0.988320i
\(221\) −4126.18 2382.25i −0.0844818 0.0487756i
\(222\) −2380.04 + 6668.48i −0.0482923 + 0.135307i
\(223\) 25009.9 + 43318.4i 0.502924 + 0.871090i 0.999994 + 0.00337955i \(0.00107575\pi\)
−0.497070 + 0.867710i \(0.665591\pi\)
\(224\) 7183.70i 0.143170i
\(225\) 90965.0 34402.1i 1.79684 0.679548i
\(226\) −1766.52 −0.0345862
\(227\) −57098.5 + 32965.8i −1.10808 + 0.639753i −0.938332 0.345734i \(-0.887630\pi\)
−0.169752 + 0.985487i \(0.554297\pi\)
\(228\) 2121.92 + 11609.3i 0.0408187 + 0.223324i
\(229\) 13214.2 22887.6i 0.251981 0.436445i −0.712090 0.702088i \(-0.752251\pi\)
0.964071 + 0.265644i \(0.0855845\pi\)
\(230\) 22408.5 + 12937.5i 0.423601 + 0.244566i
\(231\) 56773.1 10376.9i 1.06394 0.194465i
\(232\) −7355.33 12739.8i −0.136655 0.236694i
\(233\) 31690.1i 0.583730i −0.956460 0.291865i \(-0.905724\pi\)
0.956460 0.291865i \(-0.0942758\pi\)
\(234\) −16568.9 2708.47i −0.302595 0.0494643i
\(235\) 54398.8 0.985040
\(236\) 23479.5 13555.9i 0.421564 0.243390i
\(237\) −16512.6 5893.48i −0.293980 0.104924i
\(238\) −3648.93 + 6320.14i −0.0644187 + 0.111577i
\(239\) 26.2948 + 15.1813i 0.000460335 + 0.000265775i 0.500230 0.865892i \(-0.333249\pi\)
−0.499770 + 0.866158i \(0.666582\pi\)
\(240\) −15937.2 18754.0i −0.276688 0.325590i
\(241\) −35876.9 62140.6i −0.617705 1.06990i −0.989904 0.141743i \(-0.954729\pi\)
0.372199 0.928153i \(-0.378604\pi\)
\(242\) 32442.4i 0.553965i
\(243\) −54829.9 + 21919.6i −0.928548 + 0.371211i
\(244\) −55880.9 −0.938606
\(245\) 30569.2 17649.2i 0.509275 0.294030i
\(246\) −1081.68 + 919.221i −0.0178743 + 0.0151897i
\(247\) 6005.75 10402.3i 0.0984405 0.170504i
\(248\) 24840.3 + 14341.5i 0.403880 + 0.233180i
\(249\) 4164.48 11668.2i 0.0671680 0.188194i
\(250\) −34784.5 60248.5i −0.556552 0.963977i
\(251\) 104106.i 1.65245i 0.563338 + 0.826227i \(0.309517\pi\)
−0.563338 + 0.826227i \(0.690483\pi\)
\(252\) −4148.61 + 25378.9i −0.0653283 + 0.399642i
\(253\) 34597.2 0.540505
\(254\) 24167.2 13952.9i 0.374592 0.216271i
\(255\) 4495.39 + 24594.8i 0.0691333 + 0.378236i
\(256\) −2048.00 + 3547.24i −0.0312500 + 0.0541266i
\(257\) −15845.4 9148.35i −0.239904 0.138509i 0.375229 0.926932i \(-0.377564\pi\)
−0.615133 + 0.788424i \(0.710898\pi\)
\(258\) −46719.1 + 8539.21i −0.701867 + 0.128286i
\(259\) −5519.10 9559.37i −0.0822752 0.142505i
\(260\) 25048.9i 0.370546i
\(261\) 18627.9 + 49255.4i 0.273453 + 0.723057i
\(262\) 10632.4 0.154893
\(263\) 89539.9 51695.9i 1.29451 0.747385i 0.315059 0.949072i \(-0.397976\pi\)
0.979450 + 0.201687i \(0.0646424\pi\)
\(264\) −30992.3 11061.4i −0.444679 0.158710i
\(265\) −76497.3 + 132497.i −1.08932 + 1.88675i
\(266\) −15933.4 9199.13i −0.225187 0.130012i
\(267\) −79956.2 94087.6i −1.12158 1.31981i
\(268\) 7668.84 + 13282.8i 0.106773 + 0.184936i
\(269\) 6350.47i 0.0877609i 0.999037 + 0.0438804i \(0.0139721\pi\)
−0.999037 + 0.0438804i \(0.986028\pi\)
\(270\) 45473.2 + 75458.6i 0.623775 + 1.03510i
\(271\) 111208. 1.51424 0.757122 0.653274i \(-0.226605\pi\)
0.757122 + 0.653274i \(0.226605\pi\)
\(272\) 3603.61 2080.55i 0.0487080 0.0281216i
\(273\) 19944.2 16948.7i 0.267604 0.227411i
\(274\) 34272.5 59361.7i 0.456504 0.790689i
\(275\) −168020. 97006.5i −2.22175 1.28273i
\(276\) −5181.81 + 14518.6i −0.0680242 + 0.190593i
\(277\) −45476.3 78767.3i −0.592688 1.02657i −0.993869 0.110566i \(-0.964734\pi\)
0.401181 0.915999i \(-0.368600\pi\)
\(278\) 75285.1i 0.974136i
\(279\) −79474.3 65011.6i −1.02098 0.835185i
\(280\) 38367.9 0.489386
\(281\) −126245. + 72887.9i −1.59883 + 0.923087i −0.607121 + 0.794609i \(0.707676\pi\)
−0.991712 + 0.128478i \(0.958991\pi\)
\(282\) 5827.14 + 31881.0i 0.0732753 + 0.400898i
\(283\) −54454.5 + 94317.9i −0.679925 + 1.17766i 0.295079 + 0.955473i \(0.404654\pi\)
−0.975003 + 0.222191i \(0.928679\pi\)
\(284\) −31793.1 18355.8i −0.394181 0.227581i
\(285\) −62004.6 + 11333.1i −0.763369 + 0.139527i
\(286\) 16746.2 + 29005.3i 0.204732 + 0.354606i
\(287\) 2212.96i 0.0268665i
\(288\) 9283.79 11349.1i 0.111928 0.136828i
\(289\) 79293.8 0.949387
\(290\) 68042.7 39284.5i 0.809069 0.467116i
\(291\) 70278.3 + 25082.9i 0.829918 + 0.296205i
\(292\) 39640.7 68659.6i 0.464917 0.805259i
\(293\) 87765.8 + 50671.6i 1.02233 + 0.590241i 0.914777 0.403959i \(-0.132366\pi\)
0.107550 + 0.994200i \(0.465699\pi\)
\(294\) 13618.0 + 16024.9i 0.157550 + 0.185396i
\(295\) 72401.3 + 125403.i 0.831960 + 1.44100i
\(296\) 6293.76i 0.0718335i
\(297\) 103103. + 56976.5i 1.16885 + 0.645926i
\(298\) −19477.6 −0.219333
\(299\) 13587.7 7844.89i 0.151987 0.0877494i
\(300\) 65873.8 55979.9i 0.731931 0.621999i
\(301\) 37019.9 64120.4i 0.408604 0.707723i
\(302\) 10775.3 + 6221.14i 0.118145 + 0.0682113i
\(303\) −28018.8 + 78504.2i −0.305186 + 0.855082i
\(304\) 5245.15 + 9084.87i 0.0567559 + 0.0983041i
\(305\) 298457.i 3.20836i
\(306\) −13932.5 + 5269.14i −0.148794 + 0.0562726i
\(307\) 9427.87 0.100031 0.0500157 0.998748i \(-0.484073\pi\)
0.0500157 + 0.998748i \(0.484073\pi\)
\(308\) 44428.0 25650.5i 0.468334 0.270393i
\(309\) 12847.1 + 70287.8i 0.134551 + 0.736144i
\(310\) −76597.5 + 132671.i −0.797061 + 1.38055i
\(311\) 135532. + 78249.3i 1.40127 + 0.809021i 0.994523 0.104521i \(-0.0333311\pi\)
0.406743 + 0.913543i \(0.366664\pi\)
\(312\) −14680.2 + 2683.21i −0.150807 + 0.0275642i
\(313\) 15880.0 + 27505.0i 0.162092 + 0.280752i 0.935619 0.353012i \(-0.114843\pi\)
−0.773527 + 0.633764i \(0.781509\pi\)
\(314\) 78790.4i 0.799124i
\(315\) −135547. 22157.6i −1.36606 0.223306i
\(316\) −15584.7 −0.156072
\(317\) −42253.9 + 24395.3i −0.420483 + 0.242766i −0.695284 0.718735i \(-0.744721\pi\)
0.274801 + 0.961501i \(0.411388\pi\)
\(318\) −85845.6 30639.1i −0.848915 0.302985i
\(319\) 52526.7 90978.8i 0.516177 0.894044i
\(320\) −18945.7 10938.3i −0.185016 0.106819i
\(321\) 31149.6 + 36655.0i 0.302303 + 0.355732i
\(322\) −12016.2 20812.6i −0.115892 0.200731i
\(323\) 10657.0i 0.102148i
\(324\) −39352.3 + 34733.1i −0.374869 + 0.330867i
\(325\) −87984.7 −0.832991
\(326\) −81632.2 + 47130.4i −0.768115 + 0.443471i
\(327\) 71224.5 60526.9i 0.666091 0.566048i
\(328\) −630.893 + 1092.74i −0.00586419 + 0.0101571i
\(329\) −43755.7 25262.3i −0.404243 0.233390i
\(330\) 59078.7 165529.i 0.542504 1.52001i
\(331\) −74409.9 128882.i −0.679164 1.17635i −0.975233 0.221180i \(-0.929009\pi\)
0.296069 0.955167i \(-0.404324\pi\)
\(332\) 11012.5i 0.0999105i
\(333\) 3634.67 22234.8i 0.0327775 0.200514i
\(334\) 102597. 0.919693
\(335\) −70943.0 + 40958.9i −0.632150 + 0.364972i
\(336\) 4109.92 + 22485.9i 0.0364045 + 0.199173i
\(337\) −29324.5 + 50791.5i −0.258209 + 0.447230i −0.965762 0.259429i \(-0.916465\pi\)
0.707554 + 0.706660i \(0.249799\pi\)
\(338\) −56806.0 32797.0i −0.497234 0.287078i
\(339\) 5529.44 1010.66i 0.0481151 0.00879439i
\(340\) 11112.1 + 19246.8i 0.0961256 + 0.166494i
\(341\) 204835.i 1.76155i
\(342\) −13283.7 35124.5i −0.113571 0.300302i
\(343\) −128067. −1.08856
\(344\) −36560.2 + 21108.0i −0.308952 + 0.178374i
\(345\) −77543.1 27675.8i −0.651486 0.232521i
\(346\) −27670.2 + 47926.2i −0.231132 + 0.400332i
\(347\) 23368.5 + 13491.8i 0.194076 + 0.112050i 0.593889 0.804547i \(-0.297592\pi\)
−0.399813 + 0.916597i \(0.630925\pi\)
\(348\) 30311.7 + 35669.0i 0.250295 + 0.294532i
\(349\) 5578.41 + 9662.09i 0.0457994 + 0.0793268i 0.888016 0.459812i \(-0.152083\pi\)
−0.842217 + 0.539139i \(0.818750\pi\)
\(350\) 134768.i 1.10015i
\(351\) 53412.2 1001.51i 0.433537 0.00812904i
\(352\) −29250.8 −0.236076
\(353\) 109934. 63470.2i 0.882229 0.509355i 0.0108360 0.999941i \(-0.496551\pi\)
0.871393 + 0.490586i \(0.163217\pi\)
\(354\) −65738.1 + 55864.6i −0.524578 + 0.445790i
\(355\) 98037.3 169806.i 0.777920 1.34740i
\(356\) −95049.2 54876.7i −0.749978 0.433000i
\(357\) 7805.76 21870.4i 0.0612461 0.171602i
\(358\) −16694.0 28914.8i −0.130255 0.225608i
\(359\) 27655.4i 0.214581i 0.994228 + 0.107290i \(0.0342175\pi\)
−0.994228 + 0.107290i \(0.965783\pi\)
\(360\) 60615.1 + 49584.4i 0.467709 + 0.382595i
\(361\) −103454. −0.793841
\(362\) 469.279 270.938i 0.00358108 0.00206754i
\(363\) −18560.9 101549.i −0.140859 0.770658i
\(364\) 11632.5 20148.1i 0.0877950 0.152065i
\(365\) 366708. + 211719.i 2.75255 + 1.58918i
\(366\) 174914. 31970.4i 1.30576 0.238664i
\(367\) −73646.3 127559.i −0.546788 0.947064i −0.998492 0.0548962i \(-0.982517\pi\)
0.451705 0.892168i \(-0.350816\pi\)
\(368\) 13702.7i 0.101184i
\(369\) 2859.90 3496.13i 0.0210038 0.0256764i
\(370\) −33614.7 −0.245542
\(371\) 123061. 71049.3i 0.894072 0.516193i
\(372\) −85958.1 30679.2i −0.621157 0.221696i
\(373\) −13254.0 + 22956.7i −0.0952644 + 0.165003i −0.909719 0.415225i \(-0.863703\pi\)
0.814455 + 0.580227i \(0.197036\pi\)
\(374\) 25734.5 + 14857.8i 0.183981 + 0.106221i
\(375\) 143349. + 168685.i 1.01937 + 1.19954i
\(376\) 14404.1 + 24948.6i 0.101885 + 0.176470i
\(377\) 47641.6i 0.335200i
\(378\) −1534.03 81812.5i −0.0107362 0.572580i
\(379\) −143952. −1.00216 −0.501082 0.865400i \(-0.667065\pi\)
−0.501082 + 0.865400i \(0.667065\pi\)
\(380\) −48521.9 + 28014.2i −0.336025 + 0.194004i
\(381\) −67663.5 + 57500.8i −0.466127 + 0.396117i
\(382\) 28561.2 49469.5i 0.195727 0.339009i
\(383\) −132772. 76655.8i −0.905124 0.522574i −0.0262649 0.999655i \(-0.508361\pi\)
−0.878859 + 0.477081i \(0.841695\pi\)
\(384\) 4381.06 12275.0i 0.0297109 0.0832452i
\(385\) 136998. + 237288.i 0.924260 + 1.60086i
\(386\) 110109.i 0.739004i
\(387\) 141351. 53457.6i 0.943794 0.356934i
\(388\) 66329.2 0.440597
\(389\) −220839. + 127501.i −1.45941 + 0.842588i −0.998982 0.0451117i \(-0.985636\pi\)
−0.460423 + 0.887700i \(0.652302\pi\)
\(390\) −14330.9 78406.2i −0.0942203 0.515491i
\(391\) 6960.26 12055.5i 0.0455273 0.0788556i
\(392\) 16188.6 + 9346.52i 0.105351 + 0.0608244i
\(393\) −33280.9 + 6083.01i −0.215481 + 0.0393852i
\(394\) 91319.8 + 158171.i 0.588264 + 1.01890i
\(395\) 83237.1i 0.533486i
\(396\) 103338. + 16892.4i 0.658978 + 0.107721i
\(397\) 14768.6 0.0937042 0.0468521 0.998902i \(-0.485081\pi\)
0.0468521 + 0.998902i \(0.485081\pi\)
\(398\) 146187. 84401.2i 0.922875 0.532822i
\(399\) 55136.4 + 19678.7i 0.346332 + 0.123609i
\(400\) 38420.9 66547.0i 0.240131 0.415919i
\(401\) −183560. 105979.i −1.14154 0.659067i −0.194727 0.980858i \(-0.562382\pi\)
−0.946811 + 0.321791i \(0.895715\pi\)
\(402\) −31603.8 37189.4i −0.195563 0.230127i
\(403\) 46446.1 + 80447.1i 0.285983 + 0.495336i
\(404\) 74092.8i 0.453956i
\(405\) −185508. 210179.i −1.13097 1.28138i
\(406\) −72973.5 −0.442704
\(407\) −38924.1 + 22472.9i −0.234979 + 0.135665i
\(408\) −10089.4 + 8574.07i −0.0606104 + 0.0515070i
\(409\) 16193.4 28047.8i 0.0968035 0.167669i −0.813556 0.581486i \(-0.802471\pi\)
0.910360 + 0.413817i \(0.135805\pi\)
\(410\) −5836.27 3369.57i −0.0347191 0.0200451i
\(411\) −73315.4 + 205418.i −0.434022 + 1.21606i
\(412\) 31756.5 + 55004.0i 0.187085 + 0.324041i
\(413\) 134490.i 0.788480i
\(414\) 7913.37 48409.6i 0.0461701 0.282443i
\(415\) 58817.5 0.341515
\(416\) −11488.0 + 6632.61i −0.0663832 + 0.0383264i
\(417\) 43071.9 + 235652.i 0.247698 + 1.35519i
\(418\) −37457.3 + 64877.9i −0.214380 + 0.371316i
\(419\) −72546.9 41885.0i −0.413229 0.238578i 0.278947 0.960306i \(-0.410015\pi\)
−0.692176 + 0.721729i \(0.743348\pi\)
\(420\) −120096. + 21950.9i −0.680817 + 0.124438i
\(421\) −104651. 181261.i −0.590446 1.02268i −0.994172 0.107803i \(-0.965619\pi\)
0.403726 0.914880i \(-0.367715\pi\)
\(422\) 50342.3i 0.282688i
\(423\) −36479.4 96457.7i −0.203876 0.539084i
\(424\) −81021.7 −0.450682
\(425\) −67604.6 + 39031.5i −0.374282 + 0.216092i
\(426\) 110018. + 39266.4i 0.606240 + 0.216372i
\(427\) −138601. + 240064.i −0.760170 + 1.31665i
\(428\) 37029.6 + 21379.1i 0.202144 + 0.116708i
\(429\) −69012.3 81209.5i −0.374983 0.441257i
\(430\) −112737. 195266.i −0.609719 1.05606i
\(431\) 80767.2i 0.434791i −0.976084 0.217395i \(-0.930244\pi\)
0.976084 0.217395i \(-0.0697561\pi\)
\(432\) −22566.4 + 40835.5i −0.120919 + 0.218812i
\(433\) 237783. 1.26825 0.634124 0.773231i \(-0.281361\pi\)
0.634124 + 0.773231i \(0.281361\pi\)
\(434\) 123222. 71142.4i 0.654199 0.377702i
\(435\) −190507. + 161894.i −1.00677 + 0.855563i
\(436\) 41541.7 71952.4i 0.218530 0.378505i
\(437\) 30392.5 + 17547.1i 0.159149 + 0.0918846i
\(438\) −84798.8 + 237592.i −0.442020 + 1.23847i
\(439\) 130206. + 225523.i 0.675618 + 1.17020i 0.976288 + 0.216476i \(0.0694563\pi\)
−0.300670 + 0.953728i \(0.597210\pi\)
\(440\) 156227.i 0.806959i
\(441\) −51794.2 42368.7i −0.266320 0.217855i
\(442\) 13476.0 0.0689791
\(443\) 152170. 87855.4i 0.775393 0.447673i −0.0594024 0.998234i \(-0.518919\pi\)
0.834795 + 0.550561i \(0.185586\pi\)
\(444\) −3600.77 19700.3i −0.0182654 0.0999323i
\(445\) 293094. 507654.i 1.48009 2.56359i
\(446\) −122523. 70738.7i −0.615953 0.355621i
\(447\) 60967.5 11143.5i 0.305129 0.0557708i
\(448\) 10159.3 + 17596.4i 0.0506183 + 0.0876734i
\(449\) 152520.i 0.756543i 0.925695 + 0.378272i \(0.123481\pi\)
−0.925695 + 0.378272i \(0.876519\pi\)
\(450\) −174166. + 212912.i −0.860079 + 1.05142i
\(451\) −9010.81 −0.0443007
\(452\) 4327.08 2498.24i 0.0211796 0.0122281i
\(453\) −37287.4 13308.2i −0.181704 0.0648519i
\(454\) 93241.4 161499.i 0.452373 0.783534i
\(455\) 107610. + 62128.6i 0.519792 + 0.300102i
\(456\) −21615.6 25435.9i −0.103953 0.122326i
\(457\) 144761. + 250733.i 0.693135 + 1.20055i 0.970805 + 0.239869i \(0.0771045\pi\)
−0.277670 + 0.960676i \(0.589562\pi\)
\(458\) 74750.6i 0.356356i
\(459\) 40595.9 24464.1i 0.192689 0.116119i
\(460\) −73185.8 −0.345869
\(461\) 84076.0 48541.3i 0.395613 0.228407i −0.288977 0.957336i \(-0.593315\pi\)
0.684589 + 0.728929i \(0.259982\pi\)
\(462\) −124390. + 105707.i −0.582776 + 0.495246i
\(463\) −186888. + 323699.i −0.871804 + 1.51001i −0.0116757 + 0.999932i \(0.503717\pi\)
−0.860129 + 0.510077i \(0.829617\pi\)
\(464\) 36033.6 + 20804.0i 0.167368 + 0.0966298i
\(465\) 163856. 459099.i 0.757805 2.12325i
\(466\) 44816.6 + 77624.6i 0.206380 + 0.357460i
\(467\) 24459.9i 0.112155i 0.998426 + 0.0560777i \(0.0178595\pi\)
−0.998426 + 0.0560777i \(0.982141\pi\)
\(468\) 44415.6 16797.6i 0.202789 0.0766928i
\(469\) 76083.9 0.345897
\(470\) −133249. + 76931.6i −0.603211 + 0.348264i
\(471\) −45077.4 246624.i −0.203197 1.11171i
\(472\) −38341.8 + 66409.9i −0.172103 + 0.298091i
\(473\) −261087. 150739.i −1.16698 0.673757i
\(474\) 48782.0 8916.27i 0.217122 0.0396850i
\(475\) −98400.3 170434.i −0.436123 0.755387i
\(476\) 20641.5i 0.0911018i
\(477\) 286237. + 46790.3i 1.25802 + 0.205645i
\(478\) −85.8785 −0.000375862
\(479\) 160413. 92614.5i 0.699147 0.403653i −0.107882 0.994164i \(-0.534407\pi\)
0.807030 + 0.590511i \(0.201074\pi\)
\(480\) 65560.3 + 23399.0i 0.284550 + 0.101558i
\(481\) −10191.4 + 17652.1i −0.0440498 + 0.0762966i
\(482\) 175760. + 101475.i 0.756531 + 0.436783i
\(483\) 49519.3 + 58271.4i 0.212266 + 0.249782i
\(484\) −45880.5 79467.4i −0.195856 0.339233i
\(485\) 354261.i 1.50605i
\(486\) 103306. 131233.i 0.437375 0.555611i
\(487\) 224682. 0.947349 0.473675 0.880700i \(-0.342927\pi\)
0.473675 + 0.880700i \(0.342927\pi\)
\(488\) 136880. 79027.5i 0.574777 0.331848i
\(489\) 228555. 194227.i 0.955812 0.812255i
\(490\) −49919.4 + 86462.9i −0.207911 + 0.360112i
\(491\) −83529.3 48225.7i −0.346478 0.200039i 0.316655 0.948541i \(-0.397440\pi\)
−0.663133 + 0.748502i \(0.730774\pi\)
\(492\) 1349.60 3781.35i 0.00557538 0.0156213i
\(493\) −21134.6 36606.3i −0.0869563 0.150613i
\(494\) 33973.7i 0.139216i
\(495\) −90221.8 + 551926.i −0.368215 + 2.25253i
\(496\) −81127.9 −0.329767
\(497\) −157713. + 91055.4i −0.638489 + 0.368632i
\(498\) 6300.46 + 34470.6i 0.0254047 + 0.138992i
\(499\) −20829.6 + 36077.9i −0.0836526 + 0.144891i −0.904816 0.425802i \(-0.859992\pi\)
0.821164 + 0.570693i \(0.193325\pi\)
\(500\) 170409. + 98385.5i 0.681634 + 0.393542i
\(501\) −321142. + 58697.7i −1.27945 + 0.233854i
\(502\) −147228. 255007.i −0.584231 1.01192i
\(503\) 67751.0i 0.267781i −0.990996 0.133891i \(-0.957253\pi\)
0.990996 0.133891i \(-0.0427470\pi\)
\(504\) −25729.1 68032.3i −0.101289 0.267827i
\(505\) −395727. −1.55172
\(506\) −84745.4 + 48927.8i −0.330990 + 0.191097i
\(507\) 196574. + 70158.8i 0.764732 + 0.272940i
\(508\) −39464.8 + 68355.0i −0.152926 + 0.264876i
\(509\) −107700. 62180.4i −0.415698 0.240004i 0.277537 0.960715i \(-0.410482\pi\)
−0.693235 + 0.720711i \(0.743815\pi\)
\(510\) −45793.7 53887.3i −0.176062 0.207179i
\(511\) −196641. 340592.i −0.753065 1.30435i
\(512\) 11585.2i 0.0441942i
\(513\) 61675.1 + 102344.i 0.234355 + 0.388891i
\(514\) 51750.9 0.195881
\(515\) −293774. + 169610.i −1.10764 + 0.639496i
\(516\) 102362. 86987.5i 0.384448 0.326706i
\(517\) −102864. + 178166.i −0.384842 + 0.666565i
\(518\) 27038.0 + 15610.4i 0.100766 + 0.0581774i
\(519\) 59191.7 165846.i 0.219749 0.615700i
\(520\) −35424.5 61357.0i −0.131008 0.226912i
\(521\) 59159.3i 0.217945i 0.994045 + 0.108973i \(0.0347561\pi\)
−0.994045 + 0.108973i \(0.965244\pi\)
\(522\) −115286. 94306.7i −0.423094 0.346100i
\(523\) −228587. −0.835697 −0.417848 0.908517i \(-0.637216\pi\)
−0.417848 + 0.908517i \(0.637216\pi\)
\(524\) −26044.1 + 15036.5i −0.0948519 + 0.0547628i
\(525\) −77103.1 421840.i −0.279739 1.53049i
\(526\) −146218. + 253257.i −0.528481 + 0.915356i
\(527\) 71375.4 + 41208.6i 0.256997 + 0.148377i
\(528\) 91558.7 16734.9i 0.328422 0.0600282i
\(529\) −117000. 202650.i −0.418094 0.724161i
\(530\) 432734.i 1.54053i
\(531\) 173807. 212473.i 0.616423 0.753555i
\(532\) 52038.1 0.183865
\(533\) −3538.92 + 2043.20i −0.0124571 + 0.00719210i
\(534\) 328912. + 117392.i 1.15345 + 0.411675i
\(535\) −114185. + 197774.i −0.398933 + 0.690973i
\(536\) −37569.5 21690.7i −0.130769 0.0754996i
\(537\) 68796.8 + 80956.0i 0.238572 + 0.280738i
\(538\) −8980.91 15555.4i −0.0310282 0.0537423i
\(539\) 133493.i 0.459494i
\(540\) −218101. 120526.i −0.747945 0.413327i
\(541\) 442187. 1.51082 0.755408 0.655255i \(-0.227439\pi\)
0.755408 + 0.655255i \(0.227439\pi\)
\(542\) −272402. + 157271.i −0.927281 + 0.535366i
\(543\) −1313.89 + 1116.55i −0.00445616 + 0.00378687i
\(544\) −5884.68 + 10192.6i −0.0198850 + 0.0344418i
\(545\) 384295. + 221873.i 1.29381 + 0.746983i
\(546\) −24884.1 + 69721.1i −0.0834711 + 0.233872i
\(547\) 130418. + 225891.i 0.435876 + 0.754960i 0.997367 0.0725231i \(-0.0231051\pi\)
−0.561490 + 0.827483i \(0.689772\pi\)
\(548\) 193875.i 0.645595i
\(549\) −529212. + 200143.i −1.75584 + 0.664042i
\(550\) 548752. 1.81405
\(551\) 92286.0 53281.3i 0.303971 0.175498i
\(552\) −7839.58 42891.3i −0.0257285 0.140764i
\(553\) −38654.6 + 66951.7i −0.126401 + 0.218933i
\(554\) 222788. + 128626.i 0.725891 + 0.419093i
\(555\) 105218. 19231.6i 0.341590 0.0624351i
\(556\) 106469. + 184410.i 0.344409 + 0.596534i
\(557\) 161870.i 0.521742i −0.965374 0.260871i \(-0.915990\pi\)
0.965374 0.260871i \(-0.0840098\pi\)
\(558\) 286612. + 46851.6i 0.920504 + 0.150472i
\(559\) −136720. −0.437530
\(560\) −93981.7 + 54260.3i −0.299686 + 0.173024i
\(561\) −89052.7 31783.7i −0.282958 0.100990i
\(562\) 206158. 357076.i 0.652721 1.13055i
\(563\) 226828. + 130959.i 0.715617 + 0.413161i 0.813137 0.582072i \(-0.197758\pi\)
−0.0975206 + 0.995234i \(0.531091\pi\)
\(564\) −59360.1 69851.4i −0.186611 0.219592i
\(565\) 13343.0 + 23110.8i 0.0417981 + 0.0723965i
\(566\) 308041.i 0.961559i
\(567\) 51608.1 + 255206.i 0.160528 + 0.793824i
\(568\) 103836. 0.321848
\(569\) 248528. 143488.i 0.767629 0.443191i −0.0643991 0.997924i \(-0.520513\pi\)
0.832028 + 0.554733i \(0.187180\pi\)
\(570\) 135852. 115448.i 0.418136 0.355334i
\(571\) 283781. 491522.i 0.870383 1.50755i 0.00878172 0.999961i \(-0.497205\pi\)
0.861601 0.507586i \(-0.169462\pi\)
\(572\) −82039.4 47365.5i −0.250744 0.144767i
\(573\) −61097.8 + 171186.i −0.186087 + 0.521386i
\(574\) 3129.60 + 5420.63i 0.00949873 + 0.0164523i
\(575\) 257066.i 0.777517i
\(576\) −6690.51 + 40928.8i −0.0201657 + 0.123363i
\(577\) 63525.8 0.190809 0.0954044 0.995439i \(-0.469586\pi\)
0.0954044 + 0.995439i \(0.469586\pi\)
\(578\) −194229. + 112138.i −0.581379 + 0.335659i
\(579\) 62995.1 + 344654.i 0.187910 + 1.02808i
\(580\) −111113. + 192454.i −0.330301 + 0.572098i
\(581\) −47309.8 27314.3i −0.140152 0.0809167i
\(582\) −207619. + 37948.1i −0.612943 + 0.112032i
\(583\) −289301. 501084.i −0.851162 1.47426i
\(584\) 224241.i 0.657492i
\(585\) 89715.1 + 237222.i 0.262152 + 0.693176i
\(586\) −286642. −0.834727
\(587\) 404383. 233470.i 1.17359 0.677572i 0.219067 0.975710i \(-0.429699\pi\)
0.954523 + 0.298137i \(0.0963653\pi\)
\(588\) −56019.8 19994.0i −0.162027 0.0578288i
\(589\) −103889. + 179941.i −0.299460 + 0.518679i
\(590\) −354693. 204782.i −1.01894 0.588285i
\(591\) −376335. 442848.i −1.07745 1.26788i
\(592\) −8900.72 15416.5i −0.0253970 0.0439888i
\(593\) 95001.6i 0.270160i 0.990835 + 0.135080i \(0.0431292\pi\)
−0.990835 + 0.135080i \(0.956871\pi\)
\(594\) −333126. + 6246.29i −0.944139 + 0.0177031i
\(595\) 110245. 0.311406
\(596\) 47710.3 27545.5i 0.134313 0.0775459i
\(597\) −409297. + 347823.i −1.14839 + 0.975908i
\(598\) −22188.7 + 38431.9i −0.0620482 + 0.107471i
\(599\) −483801. 279323.i −1.34838 0.778489i −0.360362 0.932812i \(-0.617347\pi\)
−0.988020 + 0.154323i \(0.950680\pi\)
\(600\) −82189.6 + 230282.i −0.228304 + 0.639672i
\(601\) −33329.2 57727.9i −0.0922733 0.159822i 0.816194 0.577778i \(-0.196080\pi\)
−0.908467 + 0.417956i \(0.862747\pi\)
\(602\) 209416.i 0.577854i
\(603\) 120200. + 98326.4i 0.330576 + 0.270418i
\(604\) −35192.1 −0.0964653
\(605\) 424432. 245046.i 1.15957 0.669479i
\(606\) −42389.8 231920.i −0.115429 0.631528i
\(607\) 94446.0 163585.i 0.256334 0.443983i −0.708923 0.705286i \(-0.750819\pi\)
0.965257 + 0.261302i \(0.0841520\pi\)
\(608\) −25695.9 14835.5i −0.0695115 0.0401325i
\(609\) 228416. 41749.4i 0.615875 0.112568i
\(610\) 422083. + 731069.i 1.13433 + 1.96471i
\(611\) 93297.4i 0.249912i
\(612\) 26675.9 32610.3i 0.0712222 0.0870665i
\(613\) 689285. 1.83433 0.917165 0.398507i \(-0.130472\pi\)
0.917165 + 0.398507i \(0.130472\pi\)
\(614\) −23093.5 + 13333.0i −0.0612565 + 0.0353665i
\(615\) 20196.1 + 7208.15i 0.0533969 + 0.0190578i
\(616\) −72550.6 + 125661.i −0.191196 + 0.331162i
\(617\) −316147. 182527.i −0.830459 0.479466i 0.0235507 0.999723i \(-0.492503\pi\)
−0.854010 + 0.520257i \(0.825836\pi\)
\(618\) −130871. 154001.i −0.342662 0.403224i
\(619\) 330384. + 572241.i 0.862258 + 1.49347i 0.869744 + 0.493503i \(0.164284\pi\)
−0.00748622 + 0.999972i \(0.502383\pi\)
\(620\) 433301.i 1.12721i
\(621\) 2926.12 + 156055.i 0.00758767 + 0.404665i
\(622\) −442645. −1.14413
\(623\) −471500. + 272221.i −1.21480 + 0.701367i
\(624\) 32164.3 27333.4i 0.0826047 0.0701979i
\(625\) −150268. + 260272.i −0.384687 + 0.666297i
\(626\) −77795.8 44915.4i −0.198521 0.114616i
\(627\) 80128.1 224506.i 0.203821 0.571074i
\(628\) −111426. 192996.i −0.282533 0.489361i
\(629\) 18084.4i 0.0457090i
\(630\) 363358. 137418.i 0.915489 0.346229i
\(631\) −244678. −0.614519 −0.307260 0.951626i \(-0.599412\pi\)
−0.307260 + 0.951626i \(0.599412\pi\)
\(632\) 38174.5 22040.1i 0.0955739 0.0551796i
\(633\) −28801.7 157578.i −0.0718805 0.393267i
\(634\) 69000.3 119512.i 0.171661 0.297326i
\(635\) −365081. 210780.i −0.905404 0.522735i
\(636\) 253608. 46354.0i 0.626973 0.114597i
\(637\) 30269.4 + 52428.2i 0.0745977 + 0.129207i
\(638\) 297136.i 0.729984i
\(639\) −366835. 59965.5i −0.898399 0.146859i
\(640\) 61876.3 0.151065
\(641\) −5356.80 + 3092.75i −0.0130374 + 0.00752712i −0.506505 0.862237i \(-0.669063\pi\)
0.493467 + 0.869764i \(0.335729\pi\)
\(642\) −128139. 45733.8i −0.310892 0.110960i
\(643\) 84814.1 146902.i 0.205138 0.355309i −0.745039 0.667021i \(-0.767569\pi\)
0.950177 + 0.311712i \(0.100902\pi\)
\(644\) 58866.9 + 33986.8i 0.141938 + 0.0819481i
\(645\) 464596. + 546709.i 1.11675 + 1.31413i
\(646\) 15071.3 + 26104.3i 0.0361149 + 0.0625528i
\(647\) 315605.i 0.753938i −0.926226 0.376969i \(-0.876966\pi\)
0.926226 0.376969i \(-0.123034\pi\)
\(648\) 47273.0 140731.i 0.112580 0.335150i
\(649\) −547621. −1.30014
\(650\) 215518. 124429.i 0.510101 0.294507i
\(651\) −344999. + 293182.i −0.814060 + 0.691793i
\(652\) 133305. 230891.i 0.313582 0.543139i
\(653\) 121196. + 69972.5i 0.284225 + 0.164097i 0.635334 0.772237i \(-0.280862\pi\)
−0.351110 + 0.936334i \(0.614196\pi\)
\(654\) −88865.6 + 248987.i −0.207768 + 0.582131i
\(655\) −80309.6 139100.i −0.187191 0.324224i
\(656\) 3568.87i 0.00829322i
\(657\) 129500. 792209.i 0.300012 1.83531i
\(658\) 142905. 0.330063
\(659\) 437645. 252674.i 1.00775 0.581822i 0.0972146 0.995263i \(-0.469007\pi\)
0.910531 + 0.413441i \(0.135673\pi\)
\(660\) 89380.4 + 489011.i 0.205189 + 1.12262i
\(661\) −126095. + 218403.i −0.288599 + 0.499867i −0.973475 0.228791i \(-0.926523\pi\)
0.684877 + 0.728659i \(0.259856\pi\)
\(662\) 364532. + 210463.i 0.831802 + 0.480241i
\(663\) −42181.7 + 7709.88i −0.0959614 + 0.0175396i
\(664\) 15574.1 + 26975.1i 0.0353237 + 0.0611824i
\(665\) 277933.i 0.628489i
\(666\) 22541.7 + 59604.2i 0.0508205 + 0.134378i
\(667\) 139195. 0.312876
\(668\) −251311. + 145094.i −0.563195 + 0.325161i
\(669\) 423983. + 151323.i 0.947319 + 0.338107i
\(670\) 115849. 200657.i 0.258074 0.446997i
\(671\) 977500. + 564360.i 2.17106 + 1.25346i
\(672\) −41867.1 49266.6i −0.0927115 0.109097i
\(673\) −225789. 391079.i −0.498509 0.863443i 0.501489 0.865164i \(-0.332786\pi\)
−0.999999 + 0.00172055i \(0.999452\pi\)
\(674\) 165884.i 0.365162i
\(675\) 423351. 766083.i 0.929165 1.68139i
\(676\) 185528. 0.405990
\(677\) −136787. + 78974.0i −0.298447 + 0.172309i −0.641745 0.766918i \(-0.721789\pi\)
0.343298 + 0.939227i \(0.388456\pi\)
\(678\) −12115.0 + 10295.4i −0.0263551 + 0.0223967i
\(679\) 164516. 284950.i 0.356836 0.618058i
\(680\) −54438.1 31429.8i −0.117729 0.0679711i
\(681\) −199461. + 558857.i −0.430094 + 1.20505i
\(682\) −289680. 501740.i −0.622801 1.07872i
\(683\) 769916.i 1.65045i 0.564806 + 0.825224i \(0.308951\pi\)
−0.564806 + 0.825224i \(0.691049\pi\)
\(684\) 82211.9 + 67251.0i 0.175721 + 0.143743i
\(685\) −1.03548e6 −2.20678
\(686\) 313700. 181115.i 0.666601 0.384863i
\(687\) −42766.1 233979.i −0.0906122 0.495750i
\(688\) 59702.5 103408.i 0.126129 0.218462i
\(689\) −227241. 131198.i −0.478683 0.276368i
\(690\) 229081. 41870.9i 0.481161 0.0879456i
\(691\) 476751. + 825758.i 0.998472 + 1.72940i 0.547094 + 0.837071i \(0.315734\pi\)
0.451378 + 0.892333i \(0.350933\pi\)
\(692\) 156526.i 0.326870i
\(693\) 328879. 402043.i 0.684810 0.837155i
\(694\) −76321.1 −0.158462
\(695\) −984927. + 568648.i −2.03908 + 1.17726i
\(696\) −124692. 44503.7i −0.257407 0.0918708i
\(697\) −1812.79 + 3139.85i −0.00373150 + 0.00646314i
\(698\) −27328.5 15778.1i −0.0560925 0.0323850i
\(699\) −184692. 217334.i −0.378002 0.444810i
\(700\) −190590. 330112.i −0.388960 0.673699i
\(701\) 206692.i 0.420618i 0.977635 + 0.210309i \(0.0674470\pi\)
−0.977635 + 0.210309i \(0.932553\pi\)
\(702\) −129416. + 77989.4i −0.262612 + 0.158256i
\(703\) −45591.5 −0.0922514
\(704\) 71649.5 41366.9i 0.144567 0.0834656i
\(705\) 373073. 317040.i 0.750613 0.637875i
\(706\) −179521. + 310939.i −0.360168 + 0.623830i
\(707\) 318303. + 183772.i 0.636798 + 0.367655i
\(708\) 82020.3 229807.i 0.163627 0.458456i
\(709\) −6027.42 10439.8i −0.0119905 0.0207682i 0.859968 0.510348i \(-0.170483\pi\)
−0.871958 + 0.489580i \(0.837150\pi\)
\(710\) 554583.i 1.10014i
\(711\) −147593. + 55818.1i −0.291961 + 0.110417i
\(712\) 310429. 0.612355
\(713\) −235044. + 135703.i −0.462349 + 0.266937i
\(714\) 11809.4 + 64610.4i 0.0231649 + 0.126738i
\(715\) 252977. 438169.i 0.494845 0.857097i
\(716\) 81783.4 + 47217.7i 0.159529 + 0.0921040i
\(717\) 268.810 49.1326i 0.000522887 9.55722e-5i
\(718\) −39110.7 67741.6i −0.0758658 0.131403i
\(719\) 446044.i 0.862820i −0.902156 0.431410i \(-0.858016\pi\)
0.902156 0.431410i \(-0.141984\pi\)
\(720\) −218599. 35733.7i −0.421680 0.0689308i
\(721\) 315062. 0.606075
\(722\) 253410. 146306.i 0.486126 0.280665i
\(723\) −608207. 217075.i −1.16352 0.415272i
\(724\) −766.329 + 1327.32i −0.00146197 + 0.00253221i
\(725\) −675998. 390288.i −1.28608 0.742521i
\(726\) 189076. + 222494.i 0.358727 + 0.422129i
\(727\) 255195. + 442011.i 0.482840 + 0.836304i 0.999806 0.0197025i \(-0.00627190\pi\)
−0.516966 + 0.856006i \(0.672939\pi\)
\(728\) 65803.3i 0.124161i
\(729\) −248280. + 469879.i −0.467183 + 0.884161i
\(730\) −1.19766e6 −2.24745
\(731\) −105051. + 60651.3i −0.196592 + 0.113503i
\(732\) −383237. + 325677.i −0.715230 + 0.607806i
\(733\) 247002. 427821.i 0.459720 0.796258i −0.539226 0.842161i \(-0.681283\pi\)
0.998946 + 0.0459031i \(0.0146165\pi\)
\(734\) 360792. + 208303.i 0.669675 + 0.386637i
\(735\) 106787. 299199.i 0.197671 0.553842i
\(736\) −19378.6 33564.7i −0.0357739 0.0619623i
\(737\) 309801.i 0.570358i
\(738\) −2061.03 + 12608.2i −0.00378418 + 0.0231495i
\(739\) −464280. −0.850141 −0.425071 0.905160i \(-0.639751\pi\)
−0.425071 + 0.905160i \(0.639751\pi\)
\(740\) 82338.9 47538.4i 0.150363 0.0868123i
\(741\) −19436.9 106342.i −0.0353990 0.193672i
\(742\) −200958. + 348069.i −0.365004 + 0.632205i
\(743\) −104980. 60610.4i −0.190165 0.109792i 0.401895 0.915686i \(-0.368352\pi\)
−0.592060 + 0.805894i \(0.701685\pi\)
\(744\) 253941. 46414.7i 0.458761 0.0838513i
\(745\) 147120. + 254819.i 0.265069 + 0.459112i
\(746\) 74976.2i 0.134724i
\(747\) −39442.5 104293.i −0.0706843 0.186901i
\(748\) −84048.6 −0.150220
\(749\) 183689. 106053.i 0.327430 0.189042i
\(750\) −589688. 210465.i −1.04833 0.374160i
\(751\) −145956. + 252803.i −0.258787 + 0.448232i −0.965917 0.258851i \(-0.916656\pi\)
0.707130 + 0.707083i \(0.249989\pi\)
\(752\) −70565.3 40740.9i −0.124783 0.0720435i
\(753\) 606737. + 713972.i 1.07007 + 1.25919i
\(754\) 67375.4 + 116698.i 0.118511 + 0.205267i
\(755\) 187959.i 0.329739i
\(756\) 119458. + 198229.i 0.209012 + 0.346836i
\(757\) −493650. −0.861445 −0.430722 0.902485i \(-0.641741\pi\)
−0.430722 + 0.902485i \(0.641741\pi\)
\(758\) 352609. 203579.i 0.613698 0.354319i
\(759\) 237271. 201634.i 0.411871 0.350010i
\(760\) 79236.0 137241.i 0.137181 0.237605i
\(761\) 484626. + 279799.i 0.836831 + 0.483144i 0.856186 0.516668i \(-0.172828\pi\)
−0.0193549 + 0.999813i \(0.506161\pi\)
\(762\) 84422.6 236538.i 0.145395 0.407372i
\(763\) −206071. 356926.i −0.353972 0.613097i
\(764\) 161567.i 0.276799i
\(765\) 174170. + 142475.i 0.297612 + 0.243453i
\(766\) 433631. 0.739031
\(767\) −215074. + 124173.i −0.365592 + 0.211075i