Properties

Label 225.4.u.a.4.2
Level $225$
Weight $4$
Character 225.4
Analytic conductor $13.275$
Analytic rank $0$
Dimension $704$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 225.u (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(13.2754297513\)
Analytic rank: \(0\)
Dimension: \(704\)
Relative dimension: \(88\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.2
Character \(\chi\) \(=\) 225.4
Dual form 225.4.u.a.169.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.12585 - 5.29669i) q^{2} +(-5.17983 + 0.411540i) q^{3} +(-19.4791 + 8.67264i) q^{4} +(6.78358 + 8.88724i) q^{5} +(8.01150 + 26.9726i) q^{6} +(-21.8175 + 12.5963i) q^{7} +(42.4038 + 58.3638i) q^{8} +(26.6613 - 4.26341i) q^{9} +O(q^{10})\) \(q+(-1.12585 - 5.29669i) q^{2} +(-5.17983 + 0.411540i) q^{3} +(-19.4791 + 8.67264i) q^{4} +(6.78358 + 8.88724i) q^{5} +(8.01150 + 26.9726i) q^{6} +(-21.8175 + 12.5963i) q^{7} +(42.4038 + 58.3638i) q^{8} +(26.6613 - 4.26341i) q^{9} +(39.4357 - 45.9362i) q^{10} +(-65.1298 + 13.8438i) q^{11} +(97.3291 - 52.9392i) q^{12} +(10.6682 - 50.1902i) q^{13} +(91.2819 + 101.379i) q^{14} +(-38.7952 - 43.2427i) q^{15} +(147.255 - 163.543i) q^{16} +(-10.5574 - 14.5310i) q^{17} +(-52.5985 - 136.417i) q^{18} +(-2.15095 + 1.56276i) q^{19} +(-209.214 - 114.284i) q^{20} +(107.827 - 74.2255i) q^{21} +(146.652 + 329.386i) q^{22} +(116.533 - 104.927i) q^{23} +(-243.663 - 284.864i) q^{24} +(-32.9662 + 120.575i) q^{25} -277.853 q^{26} +(-136.346 + 33.0559i) q^{27} +(315.740 - 434.579i) q^{28} +(-6.30331 + 59.9720i) q^{29} +(-185.366 + 254.171i) q^{30} +(-1.75046 - 16.6545i) q^{31} +(-532.211 - 307.272i) q^{32} +(331.664 - 98.5118i) q^{33} +(-65.0801 + 72.2788i) q^{34} +(-259.947 - 108.449i) q^{35} +(-482.362 + 314.271i) q^{36} +(161.427 - 52.4508i) q^{37} +(10.6991 + 9.63351i) q^{38} +(-34.6045 + 264.367i) q^{39} +(-231.044 + 772.768i) q^{40} +(173.259 + 36.8273i) q^{41} +(-514.546 - 487.559i) q^{42} +(175.313 - 101.217i) q^{43} +(1148.60 - 834.510i) q^{44} +(218.749 + 208.024i) q^{45} +(-686.966 - 499.110i) q^{46} +(179.454 + 18.8614i) q^{47} +(-695.450 + 907.726i) q^{48} +(145.834 - 252.592i) q^{49} +(675.761 + 38.8633i) q^{50} +(60.6654 + 70.9232i) q^{51} +(227.474 + 1070.18i) q^{52} +(3.20078 - 4.40550i) q^{53} +(328.592 + 684.968i) q^{54} +(-564.845 - 484.914i) q^{55} +(-1660.31 - 739.218i) q^{56} +(10.4984 - 8.98003i) q^{57} +(324.750 - 34.1326i) q^{58} +(-475.831 - 101.141i) q^{59} +(1130.72 + 505.870i) q^{60} +(-66.3729 + 14.1080i) q^{61} +(-86.2432 + 28.0221i) q^{62} +(-527.978 + 428.851i) q^{63} +(-484.299 + 1490.52i) q^{64} +(518.421 - 245.657i) q^{65} +(-895.189 - 1645.81i) q^{66} +(286.211 - 30.0820i) q^{67} +(331.669 + 191.489i) q^{68} +(-560.442 + 591.463i) q^{69} +(-281.761 + 1498.96i) q^{70} +(-685.951 - 498.373i) q^{71} +(1379.37 + 1375.27i) q^{72} +(788.740 + 256.277i) q^{73} +(-459.557 - 795.977i) q^{74} +(121.138 - 638.123i) q^{75} +(28.3453 - 49.0955i) q^{76} +(1246.59 - 1122.43i) q^{77} +(1439.23 - 114.347i) q^{78} +(94.4527 - 898.657i) q^{79} +(2452.36 + 199.283i) q^{80} +(692.647 - 227.336i) q^{81} -959.161i q^{82} +(118.549 - 266.265i) q^{83} +(-1456.63 + 2380.99i) q^{84} +(57.5236 - 192.398i) q^{85} +(-733.490 - 814.623i) q^{86} +(7.96922 - 313.239i) q^{87} +(-3569.72 - 3214.19i) q^{88} +(233.027 - 717.184i) q^{89} +(855.562 - 1392.85i) q^{90} +(399.457 + 1229.40i) q^{91} +(-1359.97 + 3054.54i) q^{92} +(15.9211 + 85.5472i) q^{93} +(-102.135 - 971.748i) q^{94} +(-28.4798 - 8.51495i) q^{95} +(2883.22 + 1372.59i) q^{96} +(78.3612 + 8.23609i) q^{97} +(-1502.09 - 488.059i) q^{98} +(-1677.42 + 646.767i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 704 q - 5 q^{2} - 10 q^{3} - 347 q^{4} + 12 q^{5} + 10 q^{6} - 20 q^{8} - 38 q^{9} + O(q^{10}) \) \( 704 q - 5 q^{2} - 10 q^{3} - 347 q^{4} + 12 q^{5} + 10 q^{6} - 20 q^{8} - 38 q^{9} - 91 q^{11} + 150 q^{12} - 5 q^{13} + 61 q^{14} - 363 q^{15} + 1293 q^{16} - 20 q^{17} - 12 q^{19} + q^{20} - 135 q^{21} - 5 q^{22} - 5 q^{23} - 250 q^{24} + 284 q^{25} - 2496 q^{26} - 340 q^{27} - 660 q^{28} + 345 q^{29} + 56 q^{30} + 33 q^{31} + 790 q^{33} - 19 q^{34} - 736 q^{35} - 852 q^{36} - 20 q^{37} - 3015 q^{38} + 500 q^{39} - 49 q^{40} - 659 q^{41} - 1790 q^{42} - 1996 q^{44} - 1083 q^{45} + 20 q^{46} - 955 q^{47} - 6225 q^{48} + 14888 q^{49} - 563 q^{50} + 204 q^{51} - 45 q^{52} - 20 q^{53} - 17 q^{54} - 50 q^{55} - 590 q^{56} - 5 q^{58} + 915 q^{59} - 2153 q^{60} - 3 q^{61} + 4900 q^{62} + 2385 q^{63} + 9156 q^{64} + 456 q^{65} - 3514 q^{66} + 1525 q^{67} - 476 q^{69} + 1254 q^{70} + 2432 q^{71} - 5090 q^{72} - 20 q^{73} - 3830 q^{74} - 4343 q^{75} + 152 q^{76} - 715 q^{77} - 1330 q^{78} - 255 q^{79} + 4778 q^{80} + 786 q^{81} - 145 q^{83} - 5595 q^{84} + 699 q^{85} - 4551 q^{86} - 6260 q^{87} - 5 q^{88} + 116 q^{89} + 3097 q^{90} - 2070 q^{91} + 12395 q^{92} - 2455 q^{94} + 1687 q^{95} - 5225 q^{96} - 5 q^{97} - 3370 q^{98} - 30 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.12585 5.29669i −0.398047 1.87266i −0.481964 0.876191i \(-0.660076\pi\)
0.0839169 0.996473i \(-0.473257\pi\)
\(3\) −5.17983 + 0.411540i −0.996859 + 0.0792009i
\(4\) −19.4791 + 8.67264i −2.43488 + 1.08408i
\(5\) 6.78358 + 8.88724i 0.606741 + 0.794899i
\(6\) 8.01150 + 26.9726i 0.545113 + 1.83526i
\(7\) −21.8175 + 12.5963i −1.17803 + 0.680137i −0.955558 0.294802i \(-0.904746\pi\)
−0.222473 + 0.974939i \(0.571413\pi\)
\(8\) 42.4038 + 58.3638i 1.87400 + 2.57934i
\(9\) 26.6613 4.26341i 0.987454 0.157904i
\(10\) 39.4357 45.9362i 1.24707 1.45263i
\(11\) −65.1298 + 13.8438i −1.78521 + 0.379459i −0.977637 0.210302i \(-0.932555\pi\)
−0.807578 + 0.589761i \(0.799222\pi\)
\(12\) 97.3291 52.9392i 2.34137 1.27352i
\(13\) 10.6682 50.1902i 0.227603 1.07079i −0.704811 0.709396i \(-0.748968\pi\)
0.932414 0.361393i \(-0.117699\pi\)
\(14\) 91.2819 + 101.379i 1.74258 + 1.93533i
\(15\) −38.7952 43.2427i −0.667792 0.744348i
\(16\) 147.255 163.543i 2.30085 2.55536i
\(17\) −10.5574 14.5310i −0.150620 0.207310i 0.727039 0.686596i \(-0.240896\pi\)
−0.877659 + 0.479286i \(0.840896\pi\)
\(18\) −52.5985 136.417i −0.688755 1.78632i
\(19\) −2.15095 + 1.56276i −0.0259717 + 0.0188696i −0.600695 0.799478i \(-0.705110\pi\)
0.574724 + 0.818348i \(0.305110\pi\)
\(20\) −209.214 114.284i −2.33908 1.27773i
\(21\) 107.827 74.2255i 1.12046 0.771302i
\(22\) 146.652 + 329.386i 1.42120 + 3.19206i
\(23\) 116.533 104.927i 1.05647 0.951253i 0.0575831 0.998341i \(-0.481661\pi\)
0.998891 + 0.0470874i \(0.0149939\pi\)
\(24\) −243.663 284.864i −2.07240 2.42281i
\(25\) −32.9662 + 120.575i −0.263730 + 0.964597i
\(26\) −277.853 −2.09582
\(27\) −136.346 + 33.0559i −0.971846 + 0.235615i
\(28\) 315.740 434.579i 2.13105 2.93313i
\(29\) −6.30331 + 59.9720i −0.0403619 + 0.384018i 0.955630 + 0.294571i \(0.0951767\pi\)
−0.995992 + 0.0894472i \(0.971490\pi\)
\(30\) −185.366 + 254.171i −1.12810 + 1.54684i
\(31\) −1.75046 16.6545i −0.0101417 0.0964917i 0.988280 0.152651i \(-0.0487811\pi\)
−0.998422 + 0.0561596i \(0.982114\pi\)
\(32\) −532.211 307.272i −2.94008 1.69746i
\(33\) 331.664 98.5118i 1.74955 0.519658i
\(34\) −65.0801 + 72.2788i −0.328269 + 0.364580i
\(35\) −259.947 108.449i −1.25540 0.523749i
\(36\) −482.362 + 314.271i −2.23316 + 1.45496i
\(37\) 161.427 52.4508i 0.717254 0.233050i 0.0724219 0.997374i \(-0.476927\pi\)
0.644832 + 0.764324i \(0.276927\pi\)
\(38\) 10.6991 + 9.63351i 0.0456743 + 0.0411253i
\(39\) −34.6045 + 264.367i −0.142081 + 1.08545i
\(40\) −231.044 + 772.768i −0.913281 + 3.05463i
\(41\) 173.259 + 36.8273i 0.659963 + 0.140279i 0.525705 0.850667i \(-0.323802\pi\)
0.134258 + 0.990946i \(0.457135\pi\)
\(42\) −514.546 487.559i −1.89039 1.79124i
\(43\) 175.313 101.217i 0.621743 0.358963i −0.155805 0.987788i \(-0.549797\pi\)
0.777547 + 0.628825i \(0.216464\pi\)
\(44\) 1148.60 834.510i 3.93542 2.85925i
\(45\) 218.749 + 208.024i 0.724647 + 0.689120i
\(46\) −686.966 499.110i −2.20190 1.59978i
\(47\) 179.454 + 18.8614i 0.556937 + 0.0585365i 0.378816 0.925472i \(-0.376331\pi\)
0.178121 + 0.984009i \(0.442998\pi\)
\(48\) −695.450 + 907.726i −2.09124 + 2.72956i
\(49\) 145.834 252.592i 0.425173 0.736421i
\(50\) 675.761 + 38.8633i 1.91134 + 0.109922i
\(51\) 60.6654 + 70.9232i 0.166566 + 0.194730i
\(52\) 227.474 + 1070.18i 0.606633 + 2.85398i
\(53\) 3.20078 4.40550i 0.00829550 0.0114178i −0.804849 0.593480i \(-0.797754\pi\)
0.813145 + 0.582062i \(0.197754\pi\)
\(54\) 328.592 + 684.968i 0.828069 + 1.72616i
\(55\) −564.845 484.914i −1.38480 1.18883i
\(56\) −1660.31 739.218i −3.96194 1.76397i
\(57\) 10.4984 8.98003i 0.0243956 0.0208673i
\(58\) 324.750 34.1326i 0.735203 0.0772729i
\(59\) −475.831 101.141i −1.04996 0.223177i −0.349553 0.936917i \(-0.613667\pi\)
−0.700411 + 0.713740i \(0.747000\pi\)
\(60\) 1130.72 + 505.870i 2.43293 + 1.08846i
\(61\) −66.3729 + 14.1080i −0.139314 + 0.0296122i −0.277041 0.960858i \(-0.589354\pi\)
0.137727 + 0.990470i \(0.456020\pi\)
\(62\) −86.2432 + 28.0221i −0.176660 + 0.0574002i
\(63\) −527.978 + 428.851i −1.05586 + 0.857620i
\(64\) −484.299 + 1490.52i −0.945896 + 2.91117i
\(65\) 518.421 245.657i 0.989265 0.468770i
\(66\) −895.189 1645.81i −1.66955 3.06948i
\(67\) 286.211 30.0820i 0.521885 0.0548523i 0.160076 0.987105i \(-0.448826\pi\)
0.361809 + 0.932252i \(0.382159\pi\)
\(68\) 331.669 + 191.489i 0.591483 + 0.341493i
\(69\) −560.442 + 591.463i −0.977815 + 1.03194i
\(70\) −281.761 + 1498.96i −0.481098 + 2.55942i
\(71\) −685.951 498.373i −1.14658 0.833042i −0.158561 0.987349i \(-0.550685\pi\)
−0.988023 + 0.154307i \(0.950685\pi\)
\(72\) 1379.37 + 1375.27i 2.25778 + 2.25107i
\(73\) 788.740 + 256.277i 1.26459 + 0.410890i 0.863128 0.504985i \(-0.168502\pi\)
0.401462 + 0.915876i \(0.368502\pi\)
\(74\) −459.557 795.977i −0.721925 1.25041i
\(75\) 121.138 638.123i 0.186504 0.982454i
\(76\) 28.3453 49.0955i 0.0427820 0.0741006i
\(77\) 1246.59 1122.43i 1.84496 1.66121i
\(78\) 1439.23 114.347i 2.08924 0.165991i
\(79\) 94.4527 898.657i 0.134516 1.27983i −0.694044 0.719933i \(-0.744173\pi\)
0.828560 0.559901i \(-0.189161\pi\)
\(80\) 2452.36 + 199.283i 3.42728 + 0.278506i
\(81\) 692.647 227.336i 0.950133 0.311846i
\(82\) 959.161i 1.29173i
\(83\) 118.549 266.265i 0.156776 0.352125i −0.818031 0.575174i \(-0.804934\pi\)
0.974807 + 0.223049i \(0.0716009\pi\)
\(84\) −1456.63 + 2380.99i −1.89205 + 3.09270i
\(85\) 57.5236 192.398i 0.0734036 0.245511i
\(86\) −733.490 814.623i −0.919700 1.02143i
\(87\) 7.96922 313.239i 0.00982057 0.386009i
\(88\) −3569.72 3214.19i −4.32425 3.89357i
\(89\) 233.027 717.184i 0.277537 0.854172i −0.710999 0.703193i \(-0.751757\pi\)
0.988537 0.150980i \(-0.0482428\pi\)
\(90\) 855.562 1392.85i 1.00205 1.63132i
\(91\) 399.457 + 1229.40i 0.460159 + 1.41622i
\(92\) −1359.97 + 3054.54i −1.54116 + 3.46149i
\(93\) 15.9211 + 85.5472i 0.0177520 + 0.0953853i
\(94\) −102.135 971.748i −0.112068 1.06626i
\(95\) −28.4798 8.51495i −0.0307575 0.00919595i
\(96\) 2883.22 + 1372.59i 3.06528 + 1.45927i
\(97\) 78.3612 + 8.23609i 0.0820244 + 0.00862112i 0.145452 0.989365i \(-0.453536\pi\)
−0.0634273 + 0.997986i \(0.520203\pi\)
\(98\) −1502.09 488.059i −1.54831 0.503076i
\(99\) −1677.42 + 646.767i −1.70290 + 0.656591i
\(100\) −403.549 2634.58i −0.403549 2.63458i
\(101\) 8.87316 + 15.3688i 0.00874171 + 0.0151411i 0.870363 0.492410i \(-0.163884\pi\)
−0.861621 + 0.507551i \(0.830551\pi\)
\(102\) 307.358 401.175i 0.298363 0.389434i
\(103\) 448.062 + 1006.36i 0.428630 + 0.962719i 0.990755 + 0.135666i \(0.0433175\pi\)
−0.562124 + 0.827053i \(0.690016\pi\)
\(104\) 3381.66 1505.61i 3.18845 1.41959i
\(105\) 1391.11 + 454.769i 1.29294 + 0.422675i
\(106\) −26.9382 11.9936i −0.0246836 0.0109899i
\(107\) 917.107i 0.828599i −0.910141 0.414299i \(-0.864027\pi\)
0.910141 0.414299i \(-0.135973\pi\)
\(108\) 2369.22 1826.38i 2.11091 1.62725i
\(109\) 224.264 + 690.214i 0.197070 + 0.606518i 0.999946 + 0.0103727i \(0.00330181\pi\)
−0.802877 + 0.596145i \(0.796698\pi\)
\(110\) −1932.51 + 3537.75i −1.67507 + 3.06647i
\(111\) −814.578 + 338.120i −0.696543 + 0.289125i
\(112\) −1152.68 + 5422.96i −0.972487 + 4.57519i
\(113\) 69.1342 325.251i 0.0575540 0.270770i −0.939956 0.341296i \(-0.889134\pi\)
0.997510 + 0.0705254i \(0.0224676\pi\)
\(114\) −59.3841 45.4969i −0.0487880 0.0373787i
\(115\) 1723.03 + 323.879i 1.39716 + 0.262625i
\(116\) −397.333 1222.87i −0.318030 0.978795i
\(117\) 70.4477 1383.62i 0.0556658 1.09329i
\(118\) 2634.20i 2.05506i
\(119\) 413.372 + 184.045i 0.318434 + 0.141776i
\(120\) 878.744 4097.89i 0.668483 3.11737i
\(121\) 2834.31 1261.91i 2.12946 0.948095i
\(122\) 149.451 + 335.673i 0.110907 + 0.249102i
\(123\) −912.607 119.456i −0.669000 0.0875692i
\(124\) 178.536 + 309.233i 0.129298 + 0.223951i
\(125\) −1295.20 + 524.948i −0.926773 + 0.375622i
\(126\) 2865.91 + 2313.72i 2.02632 + 1.63589i
\(127\) 697.818 + 226.735i 0.487569 + 0.158421i 0.542477 0.840071i \(-0.317487\pi\)
−0.0549079 + 0.998491i \(0.517487\pi\)
\(128\) 3550.64 + 373.187i 2.45184 + 0.257699i
\(129\) −866.435 + 596.434i −0.591359 + 0.407078i
\(130\) −1884.84 2469.34i −1.27162 1.66597i
\(131\) 108.851 + 1035.65i 0.0725984 + 0.690728i 0.968929 + 0.247341i \(0.0795567\pi\)
−0.896330 + 0.443387i \(0.853777\pi\)
\(132\) −5606.14 + 4795.32i −3.69661 + 3.16196i
\(133\) 27.2433 61.1895i 0.0177616 0.0398933i
\(134\) −481.566 1482.11i −0.310455 0.955481i
\(135\) −1218.69 987.505i −0.776950 0.629562i
\(136\) 400.410 1232.34i 0.252462 0.776999i
\(137\) 52.2152 + 47.0147i 0.0325623 + 0.0293193i 0.685251 0.728307i \(-0.259692\pi\)
−0.652689 + 0.757626i \(0.726359\pi\)
\(138\) 3763.77 + 2302.59i 2.32169 + 1.42036i
\(139\) 2143.28 + 2380.35i 1.30785 + 1.45251i 0.811459 + 0.584410i \(0.198674\pi\)
0.496388 + 0.868101i \(0.334659\pi\)
\(140\) 6004.06 141.941i 3.62454 0.0856869i
\(141\) −937.303 23.8463i −0.559824 0.0142427i
\(142\) −1867.45 + 4194.37i −1.10361 + 2.47876i
\(143\) 3416.56i 1.99795i
\(144\) 3228.75 4988.07i 1.86849 2.88661i
\(145\) −575.745 + 350.806i −0.329745 + 0.200916i
\(146\) 469.421 4466.24i 0.266093 2.53171i
\(147\) −651.445 + 1368.40i −0.365512 + 0.767782i
\(148\) −2689.56 + 2421.69i −1.49379 + 1.34501i
\(149\) −1473.95 + 2552.96i −0.810409 + 1.40367i 0.102168 + 0.994767i \(0.467422\pi\)
−0.912578 + 0.408903i \(0.865911\pi\)
\(150\) −3516.32 + 76.7976i −1.91404 + 0.0418033i
\(151\) −569.676 986.708i −0.307017 0.531769i 0.670691 0.741737i \(-0.265998\pi\)
−0.977708 + 0.209967i \(0.932664\pi\)
\(152\) −182.417 59.2709i −0.0973420 0.0316283i
\(153\) −343.424 342.404i −0.181465 0.180926i
\(154\) −7348.63 5339.09i −3.84526 2.79374i
\(155\) 136.138 128.534i 0.0705478 0.0666071i
\(156\) −1618.70 5449.73i −0.830765 2.79697i
\(157\) −2827.29 1632.34i −1.43721 0.829776i −0.439558 0.898214i \(-0.644865\pi\)
−0.997655 + 0.0684386i \(0.978198\pi\)
\(158\) −4866.25 + 511.464i −2.45024 + 0.257531i
\(159\) −14.7665 + 24.1370i −0.00736514 + 0.0120389i
\(160\) −879.491 6814.29i −0.434562 3.36698i
\(161\) −1220.77 + 3757.14i −0.597577 + 1.83915i
\(162\) −1983.94 3412.79i −0.962181 1.65515i
\(163\) 3075.34 999.239i 1.47779 0.480162i 0.544336 0.838867i \(-0.316782\pi\)
0.933451 + 0.358705i \(0.116782\pi\)
\(164\) −3694.31 + 785.250i −1.75901 + 0.373889i
\(165\) 3125.36 + 2279.31i 1.47460 + 1.07542i
\(166\) −1543.79 328.143i −0.721817 0.153427i
\(167\) 268.050 28.1732i 0.124206 0.0130545i −0.0422216 0.999108i \(-0.513444\pi\)
0.166427 + 0.986054i \(0.446777\pi\)
\(168\) 8904.35 + 3145.74i 4.08920 + 1.44464i
\(169\) −398.182 177.282i −0.181239 0.0806928i
\(170\) −1083.83 88.0741i −0.488978 0.0397352i
\(171\) −50.6845 + 50.8355i −0.0226663 + 0.0227339i
\(172\) −2537.11 + 3492.03i −1.12473 + 1.54805i
\(173\) −876.978 4125.86i −0.385407 1.81320i −0.559925 0.828543i \(-0.689170\pi\)
0.174518 0.984654i \(-0.444163\pi\)
\(174\) −1668.10 + 310.449i −0.726773 + 0.135259i
\(175\) −799.557 3045.88i −0.345376 1.31570i
\(176\) −7326.61 + 12690.1i −3.13787 + 5.43494i
\(177\) 2506.35 + 328.070i 1.06434 + 0.139318i
\(178\) −4061.06 426.834i −1.71005 0.179734i
\(179\) 1210.88 + 879.756i 0.505617 + 0.367352i 0.811158 0.584827i \(-0.198837\pi\)
−0.305541 + 0.952179i \(0.598837\pi\)
\(180\) −6065.14 2154.98i −2.51149 0.892350i
\(181\) 2090.72 1519.00i 0.858575 0.623791i −0.0689220 0.997622i \(-0.521956\pi\)
0.927497 + 0.373831i \(0.121956\pi\)
\(182\) 6062.04 3499.92i 2.46895 1.42545i
\(183\) 337.994 100.392i 0.136531 0.0405530i
\(184\) 11065.4 + 2352.02i 4.43344 + 0.942356i
\(185\) 1561.19 + 1078.84i 0.620439 + 0.428744i
\(186\) 435.193 180.642i 0.171558 0.0712115i
\(187\) 888.762 + 800.245i 0.347555 + 0.312940i
\(188\) −3659.17 + 1188.94i −1.41954 + 0.461235i
\(189\) 2558.35 2438.66i 0.984615 0.938551i
\(190\) −13.0372 + 160.435i −0.00497799 + 0.0612589i
\(191\) −2940.80 + 3266.08i −1.11408 + 1.23731i −0.145295 + 0.989388i \(0.546413\pi\)
−0.968781 + 0.247919i \(0.920253\pi\)
\(192\) 1895.18 7919.94i 0.712358 2.97694i
\(193\) −2263.96 1307.10i −0.844370 0.487497i 0.0143771 0.999897i \(-0.495423\pi\)
−0.858747 + 0.512399i \(0.828757\pi\)
\(194\) −44.5986 424.328i −0.0165051 0.157036i
\(195\) −2584.24 + 1485.81i −0.949030 + 0.545648i
\(196\) −650.073 + 6185.03i −0.236907 + 2.25402i
\(197\) 1865.16 2567.17i 0.674554 0.928443i −0.325299 0.945611i \(-0.605465\pi\)
0.999853 + 0.0171679i \(0.00546499\pi\)
\(198\) 5314.25 + 8156.62i 1.90741 + 2.92760i
\(199\) 4341.04 1.54637 0.773186 0.634179i \(-0.218662\pi\)
0.773186 + 0.634179i \(0.218662\pi\)
\(200\) −8435.08 + 3188.79i −2.98225 + 1.12741i
\(201\) −1470.15 + 273.607i −0.515901 + 0.0960137i
\(202\) 71.4138 64.3013i 0.0248745 0.0223971i
\(203\) −617.904 1387.84i −0.213637 0.479837i
\(204\) −1796.80 855.388i −0.616671 0.293574i
\(205\) 848.021 + 1789.61i 0.288919 + 0.609718i
\(206\) 4825.96 3506.26i 1.63223 1.18589i
\(207\) 2659.58 3294.32i 0.893013 1.10614i
\(208\) −6637.30 9135.45i −2.21257 3.04534i
\(209\) 118.457 131.559i 0.0392049 0.0435414i
\(210\) 842.592 7880.29i 0.276878 2.58948i
\(211\) −1572.54 1746.49i −0.513073 0.569825i 0.429823 0.902913i \(-0.358576\pi\)
−0.942896 + 0.333088i \(0.891909\pi\)
\(212\) −24.1409 + 113.574i −0.00782079 + 0.0367939i
\(213\) 3758.21 + 2299.19i 1.20896 + 0.739615i
\(214\) −4857.63 + 1032.52i −1.55169 + 0.329821i
\(215\) 2088.79 + 871.434i 0.662577 + 0.276425i
\(216\) −7710.87 6555.99i −2.42897 2.06518i
\(217\) 247.976 + 341.310i 0.0775748 + 0.106773i
\(218\) 3403.36 1964.93i 1.05736 0.610468i
\(219\) −4191.01 1002.87i −1.29316 0.309443i
\(220\) 15208.1 + 4546.97i 4.66060 + 1.39344i
\(221\) −841.940 + 374.856i −0.256267 + 0.114097i
\(222\) 2708.01 + 3933.90i 0.818691 + 1.18931i
\(223\) 233.980 + 1100.79i 0.0702620 + 0.330557i 0.999214 0.0396437i \(-0.0126223\pi\)
−0.928952 + 0.370201i \(0.879289\pi\)
\(224\) 15482.0 4.61801
\(225\) −364.861 + 3355.22i −0.108107 + 0.994139i
\(226\) −1800.59 −0.529971
\(227\) −679.389 3196.28i −0.198646 0.934556i −0.958639 0.284625i \(-0.908131\pi\)
0.759993 0.649931i \(-0.225202\pi\)
\(228\) −126.619 + 265.972i −0.0367788 + 0.0772562i
\(229\) 1514.25 674.186i 0.436961 0.194548i −0.176453 0.984309i \(-0.556462\pi\)
0.613414 + 0.789761i \(0.289796\pi\)
\(230\) −224.374 9490.98i −0.0643251 2.72094i
\(231\) −5995.17 + 6327.02i −1.70759 + 1.80211i
\(232\) −3767.48 + 2175.16i −1.06615 + 0.615543i
\(233\) 2255.08 + 3103.85i 0.634056 + 0.872703i 0.998281 0.0586078i \(-0.0186661\pi\)
−0.364225 + 0.931311i \(0.618666\pi\)
\(234\) −7407.91 + 1184.60i −2.06953 + 0.330939i
\(235\) 1049.71 + 1722.80i 0.291386 + 0.478226i
\(236\) 10145.9 2156.58i 2.79848 0.594835i
\(237\) −119.416 + 4693.76i −0.0327294 + 1.28647i
\(238\) 509.436 2396.71i 0.138747 0.652754i
\(239\) −1328.14 1475.04i −0.359456 0.399216i 0.536108 0.844150i \(-0.319894\pi\)
−0.895564 + 0.444933i \(0.853227\pi\)
\(240\) −12784.8 23.0063i −3.43857 0.00618771i
\(241\) 1270.03 1410.51i 0.339460 0.377008i −0.549110 0.835750i \(-0.685033\pi\)
0.888570 + 0.458742i \(0.151700\pi\)
\(242\) −9874.97 13591.7i −2.62309 3.61037i
\(243\) −3494.23 + 1462.61i −0.922449 + 0.386118i
\(244\) 1170.53 850.439i 0.307112 0.223130i
\(245\) 3234.13 417.415i 0.843350 0.108848i
\(246\) 394.733 + 4968.29i 0.102306 + 1.28767i
\(247\) 55.4882 + 124.629i 0.0142941 + 0.0321050i
\(248\) 897.795 808.378i 0.229879 0.206984i
\(249\) −504.484 + 1428.00i −0.128395 + 0.363436i
\(250\) 4238.69 + 6269.29i 1.07231 + 1.58602i
\(251\) −5251.89 −1.32070 −0.660351 0.750957i \(-0.729592\pi\)
−0.660351 + 0.750957i \(0.729592\pi\)
\(252\) 6565.25 12932.6i 1.64116 3.23284i
\(253\) −6137.21 + 8447.14i −1.52507 + 2.09908i
\(254\) 415.308 3951.39i 0.102594 0.976112i
\(255\) −218.783 + 1020.26i −0.0537283 + 0.250554i
\(256\) −710.263 6757.70i −0.173404 1.64983i
\(257\) −4641.75 2679.91i −1.12663 0.650461i −0.183546 0.983011i \(-0.558758\pi\)
−0.943086 + 0.332550i \(0.892091\pi\)
\(258\) 4134.60 + 3917.75i 0.997709 + 0.945381i
\(259\) −2861.24 + 3177.73i −0.686442 + 0.762372i
\(260\) −7967.86 + 9281.26i −1.90056 + 2.21384i
\(261\) 87.6311 + 1625.80i 0.0207825 + 0.385574i
\(262\) 5362.98 1742.54i 1.26460 0.410895i
\(263\) 2238.61 + 2015.65i 0.524860 + 0.472586i 0.888450 0.458973i \(-0.151782\pi\)
−0.363590 + 0.931559i \(0.618449\pi\)
\(264\) 19813.3 + 15179.9i 4.61904 + 3.53885i
\(265\) 60.8655 1.43891i 0.0141092 0.000333552i
\(266\) −354.774 75.4095i −0.0817766 0.0173822i
\(267\) −911.891 + 3810.79i −0.209014 + 0.873470i
\(268\) −5314.24 + 3068.18i −1.21126 + 0.699324i
\(269\) 2909.86 2114.13i 0.659543 0.479186i −0.206966 0.978348i \(-0.566359\pi\)
0.866509 + 0.499162i \(0.166359\pi\)
\(270\) −3858.45 + 7566.81i −0.869696 + 1.70556i
\(271\) 440.193 + 319.819i 0.0986710 + 0.0716887i 0.636027 0.771667i \(-0.280577\pi\)
−0.537356 + 0.843356i \(0.680577\pi\)
\(272\) −3931.06 413.171i −0.876307 0.0921035i
\(273\) −2575.07 6203.70i −0.570880 1.37533i
\(274\) 190.236 329.499i 0.0419438 0.0726488i
\(275\) 477.875 8309.37i 0.104789 1.82209i
\(276\) 5787.33 16381.7i 1.26216 3.57268i
\(277\) −1004.05 4723.69i −0.217789 1.02462i −0.942149 0.335195i \(-0.891198\pi\)
0.724360 0.689422i \(-0.242136\pi\)
\(278\) 10195.0 14032.2i 2.19948 3.02732i
\(279\) −117.675 436.568i −0.0252509 0.0936797i
\(280\) −4693.24 19770.1i −1.00169 4.21961i
\(281\) −2903.84 1292.87i −0.616472 0.274471i 0.0746491 0.997210i \(-0.476216\pi\)
−0.691121 + 0.722739i \(0.742883\pi\)
\(282\) 928.954 + 4991.46i 0.196165 + 1.05403i
\(283\) 3804.21 399.838i 0.799070 0.0839856i 0.303812 0.952732i \(-0.401740\pi\)
0.495257 + 0.868746i \(0.335074\pi\)
\(284\) 17683.9 + 3758.83i 3.69488 + 0.785371i
\(285\) 151.025 + 32.3854i 0.0313892 + 0.00673104i
\(286\) 18096.5 3846.53i 3.74149 0.795279i
\(287\) −4243.96 + 1378.94i −0.872867 + 0.283612i
\(288\) −15499.5 5923.23i −3.17123 1.21191i
\(289\) 1418.51 4365.72i 0.288726 0.888606i
\(290\) 2506.31 + 2654.59i 0.507502 + 0.537527i
\(291\) −409.287 10.4128i −0.0824496 0.00209763i
\(292\) −17586.5 + 1848.42i −3.52457 + 0.370447i
\(293\) −854.439 493.310i −0.170365 0.0983601i 0.412393 0.911006i \(-0.364693\pi\)
−0.582758 + 0.812646i \(0.698026\pi\)
\(294\) 7981.43 + 1909.89i 1.58329 + 0.378868i
\(295\) −2328.97 4914.92i −0.459654 0.970026i
\(296\) 9906.33 + 7197.37i 1.94525 + 1.41331i
\(297\) 8422.58 4040.47i 1.64555 0.789400i
\(298\) 15181.7 + 4932.84i 2.95118 + 0.958898i
\(299\) −4023.10 6968.22i −0.778134 1.34777i
\(300\) 3174.55 + 13480.6i 0.610943 + 2.59435i
\(301\) −2549.92 + 4416.59i −0.488288 + 0.845740i
\(302\) −4584.92 + 4128.28i −0.873618 + 0.786609i
\(303\) −52.2863 75.9559i −0.00991343 0.0144012i
\(304\) −61.1598 + 581.897i −0.0115387 + 0.109783i
\(305\) −575.627 494.169i −0.108067 0.0927739i
\(306\) −1426.96 + 2204.51i −0.266582 + 0.411841i
\(307\) 1088.54i 0.202366i −0.994868 0.101183i \(-0.967737\pi\)
0.994868 0.101183i \(-0.0322627\pi\)
\(308\) −14547.9 + 32675.1i −2.69137 + 6.04492i
\(309\) −2735.05 5028.40i −0.503532 0.925747i
\(310\) −834.076 576.374i −0.152814 0.105599i
\(311\) 3383.97 + 3758.28i 0.617002 + 0.685250i 0.967949 0.251145i \(-0.0808072\pi\)
−0.350948 + 0.936395i \(0.614141\pi\)
\(312\) −16896.8 + 9190.51i −3.06601 + 1.66766i
\(313\) −1779.41 1602.19i −0.321337 0.289333i 0.492637 0.870235i \(-0.336033\pi\)
−0.813973 + 0.580902i \(0.802700\pi\)
\(314\) −5462.90 + 16813.1i −0.981812 + 3.02171i
\(315\) −7392.88 1783.13i −1.32235 0.318945i
\(316\) 5953.88 + 18324.2i 1.05991 + 3.26207i
\(317\) −1518.65 + 3410.95i −0.269073 + 0.604347i −0.996660 0.0816683i \(-0.973975\pi\)
0.727587 + 0.686016i \(0.240642\pi\)
\(318\) 144.471 + 51.0389i 0.0254765 + 0.00900038i
\(319\) −419.705 3993.22i −0.0736645 0.700870i
\(320\) −16531.9 + 5806.96i −2.88800 + 1.01443i
\(321\) 377.426 + 4750.46i 0.0656257 + 0.825996i
\(322\) 21274.8 + 2236.07i 3.68198 + 0.386992i
\(323\) 45.4168 + 14.7568i 0.00782371 + 0.00254208i
\(324\) −11520.5 + 10435.4i −1.97540 + 1.78933i
\(325\) 5699.97 + 2940.90i 0.972853 + 0.501944i
\(326\) −8755.02 15164.1i −1.48741 2.57627i
\(327\) −1445.70 3482.90i −0.244487 0.589005i
\(328\) 5197.45 + 11673.7i 0.874942 + 1.96515i
\(329\) −4152.81 + 1848.95i −0.695903 + 0.309836i
\(330\) 8554.15 19120.3i 1.42694 3.18950i
\(331\) 2294.18 + 1021.43i 0.380965 + 0.169617i 0.588279 0.808658i \(-0.299806\pi\)
−0.207314 + 0.978274i \(0.566472\pi\)
\(332\) 6214.73i 1.02734i
\(333\) 4080.23 2086.63i 0.671456 0.343384i
\(334\) −451.008 1388.06i −0.0738865 0.227399i
\(335\) 2208.88 + 2339.57i 0.360251 + 0.381565i
\(336\) 3738.95 28564.4i 0.607073 4.63784i
\(337\) 1335.75 6284.20i 0.215913 1.01579i −0.727994 0.685583i \(-0.759547\pi\)
0.943908 0.330210i \(-0.107119\pi\)
\(338\) −490.717 + 2308.64i −0.0789688 + 0.371519i
\(339\) −224.250 + 1713.20i −0.0359280 + 0.274478i
\(340\) 548.092 + 4246.61i 0.0874248 + 0.677367i
\(341\) 344.568 + 1060.47i 0.0547197 + 0.168410i
\(342\) 326.323 + 211.227i 0.0515951 + 0.0333972i
\(343\) 1293.17i 0.203571i
\(344\) 13341.3 + 5939.94i 2.09103 + 0.930988i
\(345\) −9058.27 968.546i −1.41357 0.151144i
\(346\) −20866.1 + 9290.17i −3.24210 + 1.44348i
\(347\) 519.220 + 1166.19i 0.0803262 + 0.180416i 0.949244 0.314541i \(-0.101851\pi\)
−0.868918 + 0.494957i \(0.835184\pi\)
\(348\) 2561.38 + 6170.72i 0.394552 + 0.950532i
\(349\) 54.5902 + 94.5530i 0.00837291 + 0.0145023i 0.870182 0.492731i \(-0.164001\pi\)
−0.861809 + 0.507234i \(0.830668\pi\)
\(350\) −15232.9 + 7664.21i −2.32638 + 1.17048i
\(351\) 204.506 + 7195.89i 0.0310989 + 1.09427i
\(352\) 38916.6 + 12644.8i 5.89279 + 1.91468i
\(353\) 3353.05 + 352.420i 0.505567 + 0.0531372i 0.353879 0.935291i \(-0.384862\pi\)
0.151688 + 0.988428i \(0.451529\pi\)
\(354\) −1084.08 13644.7i −0.162763 2.04861i
\(355\) −224.043 9476.97i −0.0334956 1.41686i
\(356\) 1680.73 + 15991.0i 0.250220 + 2.38068i
\(357\) −2216.94 783.202i −0.328663 0.116111i
\(358\) 3296.53 7404.13i 0.486668 1.09307i
\(359\) −890.412 2740.41i −0.130903 0.402878i 0.864027 0.503445i \(-0.167934\pi\)
−0.994930 + 0.100567i \(0.967934\pi\)
\(360\) −2865.30 + 21588.0i −0.419485 + 3.16052i
\(361\) −2117.36 + 6516.57i −0.308699 + 0.950076i
\(362\) −10399.5 9363.75i −1.50990 1.35952i
\(363\) −14161.9 + 7702.93i −2.04768 + 1.11377i
\(364\) −18443.2 20483.3i −2.65573 2.94949i
\(365\) 3072.88 + 8748.20i 0.440663 + 1.25453i
\(366\) −912.276 1677.23i −0.130288 0.239535i
\(367\) 1436.26 3225.89i 0.204284 0.458829i −0.782129 0.623117i \(-0.785866\pi\)
0.986412 + 0.164288i \(0.0525327\pi\)
\(368\) 34509.2i 4.88836i
\(369\) 4776.31 + 243.189i 0.673834 + 0.0343087i
\(370\) 3956.60 9483.77i 0.555929 1.33253i
\(371\) −14.3399 + 136.435i −0.00200671 + 0.0190926i
\(372\) −1052.05 1528.30i −0.146629 0.213007i
\(373\) −2905.55 + 2616.17i −0.403334 + 0.363163i −0.845689 0.533677i \(-0.820810\pi\)
0.442355 + 0.896840i \(0.354143\pi\)
\(374\) 3238.04 5608.45i 0.447687 0.775417i
\(375\) 6492.90 3252.17i 0.894112 0.447844i
\(376\) 6508.71 + 11273.4i 0.892715 + 1.54623i
\(377\) 2942.76 + 956.161i 0.402016 + 0.130623i
\(378\) −15797.1 10805.2i −2.14951 1.47027i
\(379\) −9323.08 6773.61i −1.26357 0.918040i −0.264646 0.964346i \(-0.585255\pi\)
−0.998927 + 0.0463056i \(0.985255\pi\)
\(380\) 628.607 81.1315i 0.0848601 0.0109525i
\(381\) −3707.89 887.267i −0.498585 0.119307i
\(382\) 20610.3 + 11899.4i 2.76051 + 1.59378i
\(383\) −3300.26 + 346.871i −0.440301 + 0.0462775i −0.322086 0.946710i \(-0.604384\pi\)
−0.118215 + 0.992988i \(0.537717\pi\)
\(384\) −18545.3 471.817i −2.46455 0.0627014i
\(385\) 18431.6 + 3464.61i 2.43990 + 0.458631i
\(386\) −4374.43 + 13463.1i −0.576820 + 1.77527i
\(387\) 4242.53 3446.00i 0.557261 0.452636i
\(388\) −1597.83 + 519.167i −0.209066 + 0.0679296i
\(389\) 12047.4 2560.76i 1.57026 0.333768i 0.661124 0.750277i \(-0.270080\pi\)
0.909132 + 0.416509i \(0.136747\pi\)
\(390\) 10779.4 + 12015.1i 1.39957 + 1.56002i
\(391\) −2754.98 585.589i −0.356331 0.0757404i
\(392\) 20926.2 2199.43i 2.69625 0.283388i
\(393\) −990.044 5319.71i −0.127077 0.682808i
\(394\) −15697.4 6988.93i −2.00717 0.893648i
\(395\) 8627.31 5256.69i 1.09896 0.669602i
\(396\) 27065.4 27146.1i 3.43456 3.44480i
\(397\) −4219.47 + 5807.60i −0.533423 + 0.734194i −0.987647 0.156694i \(-0.949917\pi\)
0.454224 + 0.890887i \(0.349917\pi\)
\(398\) −4887.35 22993.2i −0.615529 2.89584i
\(399\) −115.934 + 328.163i −0.0145462 + 0.0411747i
\(400\) 14864.7 + 23146.6i 1.85809 + 2.89332i
\(401\) 6169.59 10686.0i 0.768316 1.33076i −0.170160 0.985417i \(-0.554428\pi\)
0.938476 0.345346i \(-0.112238\pi\)
\(402\) 3104.37 + 7478.88i 0.385154 + 0.927892i
\(403\) −854.568 89.8187i −0.105630 0.0111022i
\(404\) −306.129 222.415i −0.0376992 0.0273901i
\(405\) 6719.01 + 4613.57i 0.824371 + 0.566050i
\(406\) −6655.27 + 4835.34i −0.813536 + 0.591069i
\(407\) −9787.57 + 5650.86i −1.19202 + 0.688213i
\(408\) −1566.90 + 6548.07i −0.190130 + 0.794554i
\(409\) 7544.80 + 1603.70i 0.912142 + 0.193882i 0.640000 0.768375i \(-0.278934\pi\)
0.272143 + 0.962257i \(0.412268\pi\)
\(410\) 8524.30 6506.54i 1.02679 0.783744i
\(411\) −289.814 222.040i −0.0347822 0.0266482i
\(412\) −17455.7 15717.2i −2.08733 1.87944i
\(413\) 11655.4 3787.07i 1.38868 0.451210i
\(414\) −20443.3 10378.1i −2.42689 1.23202i
\(415\) 3170.55 752.657i 0.375027 0.0890277i
\(416\) −21099.8 + 23433.7i −2.48679 + 2.76186i
\(417\) −12081.4 11447.8i −1.41878 1.34437i
\(418\) −830.194 479.313i −0.0971438 0.0560860i
\(419\) 259.706 + 2470.94i 0.0302804 + 0.288099i 0.999175 + 0.0406232i \(0.0129343\pi\)
−0.968894 + 0.247476i \(0.920399\pi\)
\(420\) −31041.6 + 3206.14i −3.60637 + 0.372485i
\(421\) −137.575 + 1308.94i −0.0159264 + 0.151529i −0.999595 0.0284600i \(-0.990940\pi\)
0.983669 + 0.179989i \(0.0576063\pi\)
\(422\) −7480.16 + 10295.6i −0.862864 + 1.18763i
\(423\) 4864.89 262.218i 0.559193 0.0301406i
\(424\) 392.847 0.0449961
\(425\) 2100.10 793.919i 0.239694 0.0906135i
\(426\) 7946.94 22494.6i 0.903827 2.55838i
\(427\) 1270.38 1143.85i 0.143976 0.129637i
\(428\) 7953.74 + 17864.4i 0.898267 + 2.01754i
\(429\) −1406.05 17697.2i −0.158240 1.99168i
\(430\) 2264.07 12044.8i 0.253914 1.35081i
\(431\) 5966.45 4334.88i 0.666807 0.484464i −0.202148 0.979355i \(-0.564792\pi\)
0.868955 + 0.494891i \(0.164792\pi\)
\(432\) −14671.6 + 27166.1i −1.63400 + 3.02553i
\(433\) 3432.02 + 4723.77i 0.380906 + 0.524272i 0.955824 0.293939i \(-0.0949661\pi\)
−0.574918 + 0.818211i \(0.694966\pi\)
\(434\) 1528.63 1697.72i 0.169071 0.187772i
\(435\) 2837.89 2054.06i 0.312796 0.226401i
\(436\) −10354.4 11499.8i −1.13736 1.26316i
\(437\) −86.6821 + 407.807i −0.00948871 + 0.0446409i
\(438\) −593.485 + 23327.6i −0.0647438 + 2.54483i
\(439\) 12463.9 2649.27i 1.35505 0.288025i 0.527567 0.849514i \(-0.323105\pi\)
0.827484 + 0.561489i \(0.189771\pi\)
\(440\) 4349.83 53528.7i 0.471295 5.79973i
\(441\) 2811.22 7356.18i 0.303555 0.794319i
\(442\) 2933.39 + 4037.47i 0.315673 + 0.434486i
\(443\) −11838.3 + 6834.83i −1.26965 + 0.733030i −0.974921 0.222552i \(-0.928561\pi\)
−0.294725 + 0.955582i \(0.595228\pi\)
\(444\) 12934.8 13650.8i 1.38257 1.45909i
\(445\) 7954.55 2794.10i 0.847374 0.297648i
\(446\) 5567.11 2478.64i 0.591054 0.263154i
\(447\) 6584.18 13830.5i 0.696692 1.46345i
\(448\) −8208.87 38619.7i −0.865698 4.07279i
\(449\) −4499.31 −0.472908 −0.236454 0.971643i \(-0.575985\pi\)
−0.236454 + 0.971643i \(0.575985\pi\)
\(450\) 18182.3 1844.91i 1.90472 0.193266i
\(451\) −11794.1 −1.23141
\(452\) 1474.11 + 6935.16i 0.153399 + 0.721687i
\(453\) 3356.90 + 4876.54i 0.348169 + 0.505783i
\(454\) −16164.8 + 7197.03i −1.67104 + 0.743995i
\(455\) −8216.25 + 11889.8i −0.846558 + 1.22506i
\(456\) 969.282 + 231.941i 0.0995412 + 0.0238194i
\(457\) 696.160 401.928i 0.0712581 0.0411409i −0.463948 0.885863i \(-0.653567\pi\)
0.535206 + 0.844722i \(0.320234\pi\)
\(458\) −5275.76 7261.47i −0.538254 0.740843i
\(459\) 1919.79 + 1632.26i 0.195225 + 0.165986i
\(460\) −36371.8 + 8634.32i −3.68662 + 0.875168i
\(461\) −10333.2 + 2196.38i −1.04396 + 0.221900i −0.697811 0.716282i \(-0.745843\pi\)
−0.346144 + 0.938181i \(0.612509\pi\)
\(462\) 40261.9 + 24631.3i 4.05445 + 2.48042i
\(463\) 2958.30 13917.7i 0.296942 1.39700i −0.536270 0.844047i \(-0.680167\pi\)
0.833211 0.552954i \(-0.186500\pi\)
\(464\) 8879.81 + 9862.02i 0.888437 + 0.986709i
\(465\) −652.277 + 721.811i −0.0650508 + 0.0719853i
\(466\) 13901.3 15438.9i 1.38190 1.53475i
\(467\) −2594.99 3571.70i −0.257135 0.353916i 0.660859 0.750510i \(-0.270192\pi\)
−0.917994 + 0.396594i \(0.870192\pi\)
\(468\) 10627.4 + 27562.5i 1.04968 + 2.72239i
\(469\) −5865.48 + 4261.52i −0.577490 + 0.419571i
\(470\) 7943.32 7499.62i 0.779570 0.736025i
\(471\) 15316.7 + 7291.69i 1.49842 + 0.713340i
\(472\) −14274.0 32060.0i −1.39198 3.12645i
\(473\) −10016.8 + 9019.21i −0.973732 + 0.876752i
\(474\) 24995.9 4651.95i 2.42215 0.450783i
\(475\) −117.520 310.869i −0.0113520 0.0300287i
\(476\) −9648.24 −0.929047
\(477\) 66.5545 131.102i 0.00638851 0.0125844i
\(478\) −6317.58 + 8695.40i −0.604517 + 0.832047i
\(479\) −1680.35 + 15987.4i −0.160286 + 1.52502i 0.558333 + 0.829617i \(0.311441\pi\)
−0.718619 + 0.695404i \(0.755226\pi\)
\(480\) 7359.97 + 34934.9i 0.699865 + 3.32199i
\(481\) −910.371 8661.60i −0.0862980 0.821070i
\(482\) −8900.91 5138.94i −0.841131 0.485627i
\(483\) 4777.16 19963.7i 0.450038 1.88071i
\(484\) −44265.5 + 49161.8i −4.15717 + 4.61700i
\(485\) 458.373 + 752.285i 0.0429147 + 0.0704319i
\(486\) 11681.0 + 16861.2i 1.09025 + 1.57374i
\(487\) −10154.8 + 3299.50i −0.944885 + 0.307012i −0.740636 0.671907i \(-0.765475\pi\)
−0.204250 + 0.978919i \(0.565475\pi\)
\(488\) −3637.86 3275.54i −0.337455 0.303846i
\(489\) −15518.5 + 6441.51i −1.43512 + 0.595696i
\(490\) −5852.05 16660.2i −0.539528 1.53599i
\(491\) 17001.3 + 3613.74i 1.56264 + 0.332150i 0.906407 0.422405i \(-0.138814\pi\)
0.656237 + 0.754555i \(0.272147\pi\)
\(492\) 18812.7 5587.82i 1.72387 0.512029i
\(493\) 937.998 541.553i 0.0856903 0.0494733i
\(494\) 597.648 434.217i 0.0544321 0.0395473i
\(495\) −17126.9 10520.2i −1.55514 0.955253i
\(496\) −2981.49 2166.18i −0.269905 0.196098i
\(497\) 21243.4 + 2232.77i 1.91730 + 0.201516i
\(498\) 8131.63 + 1064.39i 0.731701 + 0.0957764i
\(499\) 521.516 903.293i 0.0467861 0.0810360i −0.841684 0.539970i \(-0.818435\pi\)
0.888470 + 0.458934i \(0.151769\pi\)
\(500\) 20676.7 21458.3i 1.84938 1.91929i
\(501\) −1376.86 + 256.246i −0.122782 + 0.0228507i
\(502\) 5912.82 + 27817.6i 0.525701 + 2.47323i
\(503\) 7877.09 10841.9i 0.698254 0.961065i −0.301716 0.953398i \(-0.597560\pi\)
0.999971 0.00766683i \(-0.00244045\pi\)
\(504\) −47417.6 12629.9i −4.19077 1.11623i
\(505\) −76.3942 + 183.113i −0.00673168 + 0.0161355i
\(506\) 51651.5 + 22996.7i 4.53792 + 2.02041i
\(507\) 2135.47 + 754.423i 0.187061 + 0.0660850i
\(508\) −15559.2 + 1635.34i −1.35891 + 0.142828i
\(509\) −21259.3 4518.81i −1.85128 0.393503i −0.858440 0.512914i \(-0.828566\pi\)
−0.992845 + 0.119412i \(0.961899\pi\)
\(510\) 5650.33 + 10.1678i 0.490589 + 0.000882817i
\(511\) −20436.5 + 4343.90i −1.76919 + 0.376053i
\(512\) −7830.14 + 2544.17i −0.675872 + 0.219604i
\(513\) 241.616 284.178i 0.0207946 0.0244576i
\(514\) −8968.79 + 27603.1i −0.769642 + 2.36872i
\(515\) −5904.34 + 10808.8i −0.505197 + 0.924839i
\(516\) 11704.7 19132.3i 0.998585 1.63227i
\(517\) −11948.9 + 1255.88i −1.01646 + 0.106835i
\(518\) 20052.8 + 11577.5i 1.70090 + 0.982016i
\(519\) 6240.55 + 21010.3i 0.527803 + 1.77698i
\(520\) 36320.5 + 19840.2i 3.06300 + 1.67318i
\(521\) −7019.95 5100.30i −0.590307 0.428883i 0.252118 0.967696i \(-0.418873\pi\)
−0.842425 + 0.538813i \(0.818873\pi\)
\(522\) 8512.73 2294.56i 0.713778 0.192395i
\(523\) 8110.64 + 2635.31i 0.678114 + 0.220333i 0.627769 0.778399i \(-0.283968\pi\)
0.0503444 + 0.998732i \(0.483968\pi\)
\(524\) −11102.2 19229.5i −0.925573 1.60314i
\(525\) 5395.07 + 15448.1i 0.448496 + 1.28421i
\(526\) 8155.95 14126.5i 0.676076 1.17100i
\(527\) −223.526 + 201.264i −0.0184762 + 0.0166360i
\(528\) 32728.1 68747.6i 2.69756 5.66639i
\(529\) 1298.53 12354.7i 0.106726 1.01543i
\(530\) −76.1467 320.766i −0.00624075 0.0262890i
\(531\) −13117.5 667.884i −1.07203 0.0545832i
\(532\) 1428.19i 0.116390i
\(533\) 3696.74 8303.01i 0.300419 0.674753i
\(534\) 21211.2 + 539.642i 1.71891 + 0.0437315i
\(535\) 8150.55 6221.26i 0.658652 0.502745i
\(536\) 13892.1 + 15428.8i 1.11950 + 1.24333i
\(537\) −6634.21 4058.66i −0.533123 0.326153i
\(538\) −14474.0 13032.4i −1.15988 1.04436i
\(539\) −6001.32 + 18470.2i −0.479583 + 1.47600i
\(540\) 32303.2 + 8666.41i 2.57428 + 0.690635i
\(541\) −5968.04 18367.7i −0.474281 1.45969i −0.846925 0.531713i \(-0.821549\pi\)
0.372644 0.927974i \(-0.378451\pi\)
\(542\) 1198.39 2691.64i 0.0949731 0.213313i
\(543\) −10204.4 + 8728.56i −0.806473 + 0.689831i
\(544\) 1153.78 + 10977.5i 0.0909340 + 0.865179i
\(545\) −4612.78 + 6675.21i −0.362550 + 0.524650i
\(546\) −29960.0 + 20623.8i −2.34829 + 1.61651i
\(547\) 1053.99 + 110.779i 0.0823864 + 0.00865916i 0.145632 0.989339i \(-0.453478\pi\)
−0.0632456 + 0.997998i \(0.520145\pi\)
\(548\) −1424.84 462.960i −0.111070 0.0360888i
\(549\) −1709.44 + 659.112i −0.132891 + 0.0512390i
\(550\) −44550.2 + 6823.92i −3.45387 + 0.529042i
\(551\) −80.1637 138.848i −0.00619798 0.0107352i
\(552\) −58284.9 7629.23i −4.49415 0.588264i
\(553\) 9259.05 + 20796.2i 0.711998 + 1.59917i
\(554\) −23889.5 + 10636.3i −1.83207 + 0.815692i
\(555\) −8530.70 4945.69i −0.652447 0.378258i
\(556\) −62393.0 27779.2i −4.75909 2.11888i
\(557\) 3479.23i 0.264667i 0.991205 + 0.132334i \(0.0422470\pi\)
−0.991205 + 0.132334i \(0.957753\pi\)
\(558\) −2179.88 + 1114.79i −0.165380 + 0.0845753i
\(559\) −3209.81 9878.78i −0.242863 0.747456i
\(560\) −56014.5 + 26542.8i −4.22686 + 2.00293i
\(561\) −4932.97 3779.37i −0.371248 0.284430i
\(562\) −3578.67 + 16836.3i −0.268607 + 1.26370i
\(563\) 4003.22 18833.7i 0.299673 1.40985i −0.528289 0.849065i \(-0.677166\pi\)
0.827962 0.560785i \(-0.189500\pi\)
\(564\) 18464.6 7664.39i 1.37855 0.572215i
\(565\) 3359.56 1591.95i 0.250156 0.118538i
\(566\) −6400.78 19699.6i −0.475344 1.46296i
\(567\) −12248.2 + 13684.7i −0.907188 + 1.01359i
\(568\) 61167.6i 4.51855i
\(569\) −156.689 69.7625i −0.0115444 0.00513989i 0.400956 0.916097i \(-0.368678\pi\)
−0.412501 + 0.910957i \(0.635345\pi\)
\(570\) 1.50509 836.392i 0.000110599 0.0614607i
\(571\) −12805.9 + 5701.55i −0.938546 + 0.417868i −0.818245 0.574870i \(-0.805053\pi\)
−0.120301 + 0.992737i \(0.538386\pi\)
\(572\) −29630.6 66551.4i −2.16594 4.86478i
\(573\) 13888.7 18128.0i 1.01258 1.32166i
\(574\) 12081.9 + 20926.5i 0.878551 + 1.52170i
\(575\) 8809.89 + 17510.0i 0.638952 + 1.26994i
\(576\) −6557.33 + 41803.9i −0.474344 + 3.02401i
\(577\) −7543.21 2450.94i −0.544243 0.176835i 0.0239762 0.999713i \(-0.492367\pi\)
−0.568219 + 0.822877i \(0.692367\pi\)
\(578\) −24720.9 2598.27i −1.77899 0.186979i
\(579\) 12264.9 + 5838.84i 0.880328 + 0.419091i
\(580\) 8172.56 11826.6i 0.585081 0.846677i
\(581\) 767.525 + 7302.51i 0.0548060 + 0.521444i
\(582\) 405.641 + 2179.59i 0.0288907 + 0.155235i
\(583\) −147.478 + 331.240i −0.0104767 + 0.0235310i
\(584\) 18488.3 + 56901.0i 1.31002 + 4.03182i
\(585\) 12774.4 8759.78i 0.902833 0.619098i
\(586\) −1650.95 + 5081.09i −0.116382 + 0.358188i
\(587\) −17591.2 15839.2i −1.23691 1.11372i −0.989458 0.144818i \(-0.953740\pi\)
−0.247451 0.968900i \(-0.579593\pi\)
\(588\) 821.881 32304.9i 0.0576425 2.26570i
\(589\) 29.7922 + 33.0876i 0.00208415 + 0.00231468i
\(590\) −23410.8 + 17869.3i −1.63357 + 1.24689i
\(591\) −8604.71 + 14065.1i −0.598901 + 0.978952i
\(592\) 15192.9 34123.8i 1.05477 2.36906i
\(593\) 1087.35i 0.0752985i −0.999291 0.0376493i \(-0.988013\pi\)
0.999291 0.0376493i \(-0.0119870\pi\)
\(594\) −30883.7 40062.9i −2.13329 2.76734i
\(595\) 1168.49 + 4922.22i 0.0805097 + 0.339145i
\(596\) 6570.32 62512.4i 0.451562 4.29632i
\(597\) −22485.9 + 1786.51i −1.54152 + 0.122474i
\(598\) −32379.1 + 29154.3i −2.21418 + 1.99366i
\(599\) −4203.22 + 7280.19i −0.286710 + 0.496595i −0.973022 0.230711i \(-0.925895\pi\)
0.686313 + 0.727307i \(0.259228\pi\)
\(600\) 42380.0 19988.7i 2.88359 1.36006i
\(601\) 7250.79 + 12558.7i 0.492123 + 0.852382i 0.999959 0.00907198i \(-0.00288774\pi\)
−0.507836 + 0.861454i \(0.669554\pi\)
\(602\) 26264.1 + 8533.73i 1.77815 + 0.577756i
\(603\) 7502.51 2022.26i 0.506676 0.136572i
\(604\) 19654.1 + 14279.6i 1.32403 + 0.961965i
\(605\) 30441.7 + 16628.9i 2.04567 + 1.11745i
\(606\) −343.449 + 362.459i −0.0230225 + 0.0242969i
\(607\) 493.005 + 284.637i 0.0329662 + 0.0190330i 0.516393 0.856352i \(-0.327275\pi\)
−0.483426 + 0.875385i \(0.660608\pi\)
\(608\) 1624.95 170.790i 0.108389 0.0113922i
\(609\) 3771.79 + 6934.46i 0.250970 + 0.461410i
\(610\) −1969.40 + 3605.28i −0.130719 + 0.239301i
\(611\) 2861.12 8805.61i 0.189441 0.583039i
\(612\) 9659.13 + 3691.31i 0.637985 + 0.243811i
\(613\) −12710.4 + 4129.86i −0.837468 + 0.272110i −0.696188 0.717860i \(-0.745122\pi\)
−0.141280 + 0.989970i \(0.545122\pi\)
\(614\) −5765.67 + 1225.53i −0.378963 + 0.0805511i
\(615\) −5129.10 8920.90i −0.336302 0.584920i
\(616\) 118369. + 25160.2i 7.74226 + 1.64567i
\(617\) 18139.4 1906.53i 1.18357 0.124399i 0.507778 0.861488i \(-0.330467\pi\)
0.675795 + 0.737090i \(0.263800\pi\)
\(618\) −23554.7 + 20147.9i −1.53318 + 1.31144i
\(619\) 25140.3 + 11193.2i 1.63243 + 0.726804i 0.998899 0.0469136i \(-0.0149385\pi\)
0.633530 + 0.773718i \(0.281605\pi\)
\(620\) −1537.12 + 3684.40i −0.0995681 + 0.238660i
\(621\) −12420.4 + 18158.5i −0.802600 + 1.17339i
\(622\) 16096.6 22155.1i 1.03765 1.42820i
\(623\) 3949.81 + 18582.4i 0.254006 + 1.19501i
\(624\) 38139.7 + 44588.6i 2.44681 + 2.86053i
\(625\) −13451.5 7949.77i −0.860893 0.508785i
\(626\) −6482.97 + 11228.8i −0.413916 + 0.716924i
\(627\) −559.443 + 730.205i −0.0356332 + 0.0465097i
\(628\) 69229.7 + 7276.33i 4.39899 + 0.462352i
\(629\) −2466.40 1791.95i −0.156346 0.113592i
\(630\) −1121.43 + 41165.3i −0.0709188 + 2.60328i
\(631\) −19900.8 + 14458.8i −1.25553 + 0.912193i −0.998529 0.0542192i \(-0.982733\pi\)
−0.256997 + 0.966412i \(0.582733\pi\)
\(632\) 56454.2 32593.9i 3.55321 2.05145i
\(633\) 8864.26 + 8399.34i 0.556592 + 0.527399i
\(634\) 19776.5 + 4203.63i 1.23884 + 0.263324i
\(635\) 2718.65 + 7739.75i 0.169900 + 0.483689i
\(636\) 78.3057 598.230i 0.00488211 0.0372977i
\(637\) −11121.9 10014.2i −0.691780 0.622882i
\(638\) −20678.4 + 6718.81i −1.28317 + 0.416928i
\(639\) −20413.1 10362.8i −1.26374 0.641541i
\(640\) 20769.4 + 34087.0i 1.28279 + 2.10532i
\(641\) −18908.9 + 21000.5i −1.16514 + 1.29402i −0.217005 + 0.976171i \(0.569629\pi\)
−0.948140 + 0.317854i \(0.897038\pi\)
\(642\) 24736.8 7347.40i 1.52069 0.451680i
\(643\) 5553.10 + 3206.09i 0.340580 + 0.196634i 0.660529 0.750801i \(-0.270332\pi\)
−0.319948 + 0.947435i \(0.603666\pi\)
\(644\) −8804.87 83772.8i −0.538759 5.12595i
\(645\) −11178.2 3654.26i −0.682388 0.223080i
\(646\) 27.0300 257.173i 0.00164625 0.0156630i
\(647\) 8463.37 11648.8i 0.514265 0.707825i −0.470366 0.882471i \(-0.655878\pi\)
0.984631 + 0.174646i \(0.0558782\pi\)
\(648\) 42639.0 + 30785.6i 2.58491 + 1.86631i
\(649\) 32390.9 1.95910
\(650\) 9159.75 33502.0i 0.552730 2.02162i
\(651\) −1424.94 1665.88i −0.0857876 0.100293i
\(652\) −51238.7 + 46135.6i −3.07770 + 2.77118i
\(653\) 7037.38 + 15806.2i 0.421737 + 0.947236i 0.992054 + 0.125812i \(0.0401536\pi\)
−0.570317 + 0.821424i \(0.693180\pi\)
\(654\) −16820.2 + 11578.6i −1.00569 + 0.692294i
\(655\) −8465.69 + 7992.82i −0.505011 + 0.476802i
\(656\) 31536.0 22912.3i 1.87694 1.36368i
\(657\) 22121.4 + 3469.95i 1.31361 + 0.206051i
\(658\) 14468.8 + 19914.5i 0.857221 + 1.17986i
\(659\) 12425.6 13800.0i 0.734494 0.815738i −0.253967 0.967213i \(-0.581735\pi\)
0.988461 + 0.151475i \(0.0484022\pi\)
\(660\) −80646.8 17293.8i −4.75632 1.01994i
\(661\) −14501.4 16105.4i −0.853309 0.947695i 0.145825 0.989310i \(-0.453416\pi\)
−0.999134 + 0.0416149i \(0.986750\pi\)
\(662\) 2827.33 13301.5i 0.165993 0.780935i
\(663\) 4206.84 2288.18i 0.246425 0.134036i
\(664\) 20567.2 4371.69i 1.20205 0.255504i
\(665\) 728.613 172.966i 0.0424878 0.0100862i
\(666\) −15646.0 19262.5i −0.910314 1.12073i
\(667\) 5558.15 + 7650.13i 0.322657 + 0.444100i
\(668\) −4977.03 + 2873.49i −0.288274 + 0.166435i
\(669\) −1664.99 5605.60i −0.0962217 0.323954i
\(670\) 9905.10 14333.8i 0.571146 0.826510i
\(671\) 4127.54 1837.70i 0.237469 0.105728i
\(672\) −80194.1 + 6371.45i −4.60350 + 0.365750i
\(673\) 2562.32 + 12054.8i 0.146761 + 0.690457i 0.988580 + 0.150697i \(0.0481517\pi\)
−0.841819 + 0.539760i \(0.818515\pi\)
\(674\) −34789.3 −1.98818
\(675\) 509.113 17529.6i 0.0290308 0.999579i
\(676\) 9293.72 0.528773
\(677\) −761.652 3583.29i −0.0432388 0.203423i 0.951226 0.308496i \(-0.0998256\pi\)
−0.994464 + 0.105073i \(0.966492\pi\)
\(678\) 9326.75 741.014i 0.528306 0.0419742i
\(679\) −1813.39 + 807.371i −0.102491 + 0.0456319i
\(680\) 13668.3 4801.10i 0.770816 0.270756i
\(681\) 4834.52 + 16276.6i 0.272040 + 0.915888i
\(682\) 5229.06 3019.00i 0.293594 0.169507i
\(683\) 9633.89 + 13259.9i 0.539723 + 0.742864i 0.988573 0.150742i \(-0.0481664\pi\)
−0.448850 + 0.893607i \(0.648166\pi\)
\(684\) 546.408 1429.80i 0.0305445 0.0799264i
\(685\) −63.6259 + 782.977i −0.00354894 + 0.0436730i
\(686\) −6849.55 + 1455.92i −0.381220 + 0.0810308i
\(687\) −7566.08 + 4115.34i −0.420180 + 0.228544i
\(688\) 9262.32 43575.8i 0.513260 2.41470i
\(689\) −186.966 207.647i −0.0103379 0.0114814i
\(690\) 5068.14 + 49069.3i 0.279624 + 2.70730i
\(691\) 13509.3 15003.6i 0.743733 0.825999i −0.245949 0.969283i \(-0.579099\pi\)
0.989682 + 0.143284i \(0.0457661\pi\)
\(692\) 52864.8 + 72762.1i 2.90407 + 3.99711i
\(693\) 28450.2 35240.1i 1.55950 1.93169i
\(694\) 5592.38 4063.10i 0.305884 0.222238i
\(695\) −6615.68 + 35195.2i −0.361075 + 1.92090i
\(696\) 18619.7 12817.4i 1.01405 0.698049i
\(697\) −1294.02 2906.42i −0.0703221 0.157946i
\(698\) 439.358 395.600i 0.0238251 0.0214523i
\(699\) −12958.3 15149.3i −0.701183 0.819744i
\(700\) 41990.5 + 52396.7i 2.26727 + 2.82916i
\(701\) 24650.9 1.32818 0.664089 0.747653i \(-0.268819\pi\)
0.664089 + 0.747653i \(0.268819\pi\)
\(702\) 37884.2 9184.68i 2.03682 0.493808i
\(703\) −265.254 + 365.090i −0.0142308 + 0.0195870i
\(704\) 10907.9 103782.i 0.583958 5.55599i
\(705\) −6146.34 8491.81i −0.328347 0.453645i
\(706\) −1908.36 18156.9i −0.101731 0.967908i
\(707\) −387.180 223.538i −0.0205960 0.0118911i
\(708\) −51666.5 + 15346.1i −2.74258 + 0.814609i
\(709\) 4639.08 5152.22i 0.245732 0.272913i −0.607643 0.794210i \(-0.707885\pi\)
0.853375 + 0.521297i \(0.174552\pi\)
\(710\) −49944.4 + 11856.3i −2.63997 + 0.626703i
\(711\) −1313.12 24362.0i −0.0692627 1.28502i
\(712\) 51738.8 16811.0i 2.72331 0.884856i
\(713\) −1951.50 1757.14i −0.102502 0.0922936i
\(714\) −1652.45 + 12624.2i −0.0866127 + 0.661693i
\(715\) −30363.8 + 23176.5i −1.58817 + 1.21224i
\(716\) −31216.6 6635.30i −1.62936 0.346331i
\(717\) 7486.56 + 7093.90i 0.389945 + 0.369493i
\(718\) −13512.6 + 7801.52i −0.702349 + 0.405501i
\(719\) −3326.18 + 2416.61i −0.172525 + 0.125347i −0.670697 0.741732i \(-0.734005\pi\)
0.498172 + 0.867078i \(0.334005\pi\)
\(720\) 66232.6 5142.29i 3.42826 0.266169i
\(721\) −22452.1 16312.4i −1.15972 0.842587i
\(722\) 36900.1 + 3878.36i 1.90205 + 0.199914i
\(723\) −5998.06 + 7828.88i −0.308534 + 0.402710i
\(724\) −27551.6 + 47720.7i −1.41429 + 2.44962i
\(725\) −7023.31 2737.07i −0.359778 0.140210i
\(726\) 56744.2 + 66338.9i 2.90079 + 3.39128i
\(727\) −4259.78 20040.7i −0.217313 1.02238i −0.942598 0.333929i \(-0.891625\pi\)
0.725285 0.688449i \(-0.241708\pi\)
\(728\) −54814.1 + 75445.1i −2.79058 + 3.84091i
\(729\) 17497.6 9014.10i 0.888971 0.457964i
\(730\) 42877.0 26125.3i 2.17390 1.32457i
\(731\) −3321.62 1478.88i −0.168064 0.0748267i
\(732\) −5713.15 + 4886.85i −0.288475 + 0.246753i
\(733\) 27516.8 2892.14i 1.38657 0.145735i 0.618342 0.785909i \(-0.287804\pi\)
0.768230 + 0.640174i \(0.221138\pi\)
\(734\) −18703.6 3975.57i −0.940547 0.199919i
\(735\) −16580.4 + 3493.11i −0.832080 + 0.175300i
\(736\) −94261.6 + 20035.9i −4.72083 + 1.00344i
\(737\) −18224.4 + 5921.48i −0.910862 + 0.295957i
\(738\) −4089.30 25572.4i −0.203969 1.27552i
\(739\) −9762.83 + 30046.9i −0.485969 + 1.49566i 0.344602 + 0.938749i \(0.388014\pi\)
−0.830572 + 0.556911i \(0.811986\pi\)
\(740\) −39767.0 7475.04i −1.97549 0.371335i
\(741\) −338.709 622.719i −0.0167919 0.0308720i
\(742\) 738.798 77.6508i 0.0365527 0.00384185i
\(743\) −141.479 81.6828i −0.00698567 0.00403318i 0.496503 0.868035i \(-0.334617\pi\)
−0.503489 + 0.864002i \(0.667950\pi\)
\(744\) −4317.75 + 4556.74i −0.212764 + 0.224541i
\(745\) −32687.5 + 4218.83i −1.60749 + 0.207471i
\(746\) 17128.2 + 12444.4i 0.840629 + 0.610753i
\(747\) 2025.47 7604.39i 0.0992074 0.372463i
\(748\) −24252.5 7880.11i −1.18551 0.385194i
\(749\) 11552.2 + 20008.9i 0.563561 + 0.976116i
\(750\) −24535.8 30729.5i −1.19456 1.49611i
\(751\) 16745.5 29004.1i 0.813653 1.40929i −0.0966375 0.995320i \(-0.530809\pi\)
0.910291 0.413969i \(-0.135858\pi\)
\(752\) 29510.1 26571.0i 1.43101 1.28849i
\(753\) 27203.9 2161.36i 1.31655 0.104601i
\(754\) 1751.39 16663.4i 0.0845915 0.804834i
\(755\) 4904.67 11756.3i 0.236423 0.566694i
\(756\) −28684.6 + 69690.4i −1.37996 + 3.35266i
\(757\) 26164.5i 1.25623i 0.778122 + 0.628113i \(0.216172\pi\)
−0.778122 + 0.628113i \(0.783828\pi\)
\(758\) −25381.4 + 57007.5i −1.21622 + 2.73167i
\(759\) 28313.4 46280.5i 1.35403 2.21327i
\(760\) −710.685 2023.25i −0.0339201 0.0965673i
\(761\) −2754.68 3059.38i −0.131218 0.145733i 0.673955 0.738773i \(-0.264594\pi\)
−0.805173 + 0.593040i \(0.797928\pi\)
\(762\) −525.070 + 20638.5i −0.0249623 + 0.981171i
\(763\) −13587.0 12233.8i −0.644670 0.580463i
\(764\) 28958.4 89124.7i 1.37131 4.22044i
\(765\) 713.380 5374.82i 0.0337154 0.254022i
\(766\) 5552.86 + 17089.9i 0.261923 + 0.806116i
\(767\) −10152.6 + 22803.0i −0.477950 + 1.07349i
\(768\) 6460.11 + 34711.4i 0.303527 + 1.63091i
\(769\) −2726.45 25940.4i −0.127852 1.21643i −0.850786 0.525513i \(-0.823874\pi\)
0.722934 0.690917i \(-0.242793\pi\)
\(770\) −2400.18 101527.i −0.112333 4.75167i
\(771\) 25146.4 + 11971.2i 1.17461 + 0.559187i