Properties

Label 177.4.e.b.4.6
Level $177$
Weight $4$
Character 177.4
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(420\)
Relative dimension: \(15\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 4.6
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.b.133.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.68795 - 0.183576i) q^{2} +(1.94216 - 2.28649i) q^{3} +(-4.99749 - 1.10003i) q^{4} +(3.49616 + 2.65771i) q^{5} +(-3.69801 + 3.50294i) q^{6} +(0.0781424 - 0.196123i) q^{7} +(21.1058 + 7.11136i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(-1.68795 - 0.183576i) q^{2} +(1.94216 - 2.28649i) q^{3} +(-4.99749 - 1.10003i) q^{4} +(3.49616 + 2.65771i) q^{5} +(-3.69801 + 3.50294i) q^{6} +(0.0781424 - 0.196123i) q^{7} +(21.1058 + 7.11136i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(-5.41345 - 5.12789i) q^{10} +(21.6921 - 10.0358i) q^{11} +(-12.2211 + 9.29026i) q^{12} +(0.213949 - 1.30503i) q^{13} +(-0.167904 + 0.316700i) q^{14} +(12.8669 - 2.83222i) q^{15} +(2.83344 + 1.31089i) q^{16} +(-48.2163 - 121.014i) q^{17} +(0.827303 + 15.2587i) q^{18} +(-10.2176 - 15.0698i) q^{19} +(-14.5485 - 17.1278i) q^{20} +(-0.296667 - 0.559573i) q^{21} +(-38.4576 + 12.9579i) q^{22} +(-2.72912 + 50.3356i) q^{23} +(57.2508 - 34.4466i) q^{24} +(-28.2813 - 101.860i) q^{25} +(-0.600708 + 2.16355i) q^{26} +(-23.1351 - 13.9200i) q^{27} +(-0.606257 + 0.894163i) q^{28} +(-294.685 + 32.0489i) q^{29} +(-22.2386 + 2.41860i) q^{30} +(86.2936 - 127.273i) q^{31} +(-157.211 - 94.5906i) q^{32} +(19.1827 - 69.0900i) q^{33} +(59.1715 + 213.117i) q^{34} +(0.794436 - 0.477996i) q^{35} +(-2.49332 + 45.9866i) q^{36} +(358.654 - 120.845i) q^{37} +(14.4803 + 27.3127i) q^{38} +(-2.56842 - 3.02377i) q^{39} +(54.8891 + 80.9554i) q^{40} +(-23.3284 - 430.267i) q^{41} +(0.398035 + 0.998992i) q^{42} +(-394.172 - 182.363i) q^{43} +(-119.446 + 26.2920i) q^{44} +(18.5137 - 34.9206i) q^{45} +(13.8470 - 84.4630i) q^{46} +(278.874 - 211.995i) q^{47} +(8.50032 - 3.93267i) q^{48} +(248.984 + 235.850i) q^{49} +(29.0384 + 177.127i) q^{50} +(-370.340 - 124.782i) q^{51} +(-2.50479 + 6.28654i) q^{52} +(-298.990 + 283.219i) q^{53} +(36.4956 + 27.7432i) q^{54} +(102.511 + 22.5645i) q^{55} +(3.04395 - 3.58362i) q^{56} +(-54.3010 - 5.90559i) q^{57} +503.297 q^{58} +(-274.031 - 360.952i) q^{59} -67.4178 q^{60} +(404.753 + 44.0195i) q^{61} +(-169.024 + 198.990i) q^{62} +(-1.85563 - 0.408455i) q^{63} +(228.116 + 173.409i) q^{64} +(4.21640 - 3.99399i) q^{65} +(-45.0627 + 113.099i) q^{66} +(452.704 + 152.534i) q^{67} +(107.842 + 657.805i) q^{68} +(109.791 + 104.000i) q^{69} +(-1.42872 + 0.660994i) q^{70} +(107.998 - 82.0977i) q^{71} +(32.4283 - 197.804i) q^{72} +(-256.061 + 482.982i) q^{73} +(-627.575 + 138.140i) q^{74} +(-287.829 - 133.164i) q^{75} +(34.4850 + 86.5508i) q^{76} +(-0.273182 - 5.03855i) q^{77} +(3.78027 + 5.57548i) q^{78} +(582.663 + 685.964i) q^{79} +(6.42219 + 12.1135i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(-39.6093 + 730.551i) q^{82} +(-343.843 + 206.884i) q^{83} +(0.867042 + 3.12280i) q^{84} +(153.048 - 551.228i) q^{85} +(631.865 + 380.181i) q^{86} +(-499.046 + 736.037i) q^{87} +(529.197 - 57.5537i) q^{88} +(941.349 - 102.378i) q^{89} +(-37.6609 + 55.5456i) q^{90} +(-0.239228 - 0.143939i) q^{91} +(69.0095 - 248.550i) q^{92} +(-123.413 - 444.494i) q^{93} +(-509.643 + 306.642i) q^{94} +(4.32889 - 79.8417i) q^{95} +(-521.608 + 175.750i) q^{96} +(523.064 + 986.603i) q^{97} +(-376.976 - 443.811i) q^{98} +(-120.717 - 178.045i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} + O(q^{10}) \) \( 420q + 2q^{2} - 45q^{3} - 56q^{4} - 14q^{5} + 6q^{6} + 6q^{7} + 66q^{8} - 135q^{9} - 754q^{10} + 64q^{11} - 168q^{12} + 90q^{13} + 1024q^{14} - 42q^{15} - 172q^{16} + 96q^{17} + 18q^{18} + 16q^{19} - 178q^{20} - 243q^{21} - 604q^{22} + 48q^{23} + 198q^{24} - 173q^{25} + 156q^{26} - 405q^{27} + 84q^{28} - 50q^{29} + 174q^{30} + 222q^{31} - 45q^{32} + 192q^{33} - 64q^{34} - 132q^{35} - 504q^{36} + 30q^{37} - 108q^{38} + 270q^{39} + 6984q^{40} + 400q^{41} + 114q^{42} + 1220q^{43} + 1180q^{44} - 126q^{45} + 4938q^{46} + 370q^{47} - 516q^{48} + 771q^{49} + 1048q^{50} + 288q^{51} - 1964q^{52} - 822q^{53} + 54q^{54} - 2342q^{55} - 13824q^{56} + 48q^{57} - 13150q^{58} - 3423q^{59} - 534q^{60} - 2182q^{61} + 845q^{62} + 54q^{63} - 8018q^{64} + 4140q^{65} - 1812q^{66} + 506q^{67} + 4826q^{68} - 3684q^{69} + 6882q^{70} + 5874q^{71} + 594q^{72} + 206q^{73} + 11124q^{74} - 867q^{75} + 16940q^{76} + 9940q^{77} + 468q^{78} - 1762q^{79} - 28954q^{80} - 1215q^{81} + 3770q^{82} - 1216q^{83} - 8013q^{84} - 420q^{85} - 2256q^{86} + 5940q^{87} + 13458q^{88} - 1580q^{89} + 522q^{90} - 12204q^{91} + 4562q^{92} + 666q^{93} + 176q^{94} - 28456q^{95} + 2040q^{96} + 2574q^{97} + 50690q^{98} + 576q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.68795 0.183576i −0.596780 0.0649038i −0.195256 0.980752i \(-0.562554\pi\)
−0.401524 + 0.915848i \(0.631519\pi\)
\(3\) 1.94216 2.28649i 0.373769 0.440034i
\(4\) −4.99749 1.10003i −0.624686 0.137504i
\(5\) 3.49616 + 2.65771i 0.312706 + 0.237713i 0.749741 0.661732i \(-0.230178\pi\)
−0.437035 + 0.899445i \(0.643971\pi\)
\(6\) −3.69801 + 3.50294i −0.251618 + 0.238345i
\(7\) 0.0781424 0.196123i 0.00421930 0.0105896i −0.926852 0.375427i \(-0.877496\pi\)
0.931071 + 0.364837i \(0.118875\pi\)
\(8\) 21.1058 + 7.11136i 0.932752 + 0.314281i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) −5.41345 5.12789i −0.171188 0.162158i
\(11\) 21.6921 10.0358i 0.594584 0.275084i −0.0994310 0.995044i \(-0.531702\pi\)
0.694015 + 0.719961i \(0.255840\pi\)
\(12\) −12.2211 + 9.29026i −0.293995 + 0.223489i
\(13\) 0.213949 1.30503i 0.00456453 0.0278424i −0.984446 0.175687i \(-0.943785\pi\)
0.989011 + 0.147845i \(0.0472336\pi\)
\(14\) −0.167904 + 0.316700i −0.00320530 + 0.00604584i
\(15\) 12.8669 2.83222i 0.221481 0.0487518i
\(16\) 2.83344 + 1.31089i 0.0442725 + 0.0204826i
\(17\) −48.2163 121.014i −0.687893 1.72648i −0.687187 0.726481i \(-0.741155\pi\)
−0.000705979 1.00000i \(-0.500225\pi\)
\(18\) 0.827303 + 15.2587i 0.0108332 + 0.199806i
\(19\) −10.2176 15.0698i −0.123372 0.181960i 0.760987 0.648767i \(-0.224715\pi\)
−0.884360 + 0.466806i \(0.845405\pi\)
\(20\) −14.5485 17.1278i −0.162657 0.191494i
\(21\) −0.296667 0.559573i −0.00308276 0.00581471i
\(22\) −38.4576 + 12.9579i −0.372690 + 0.125574i
\(23\) −2.72912 + 50.3356i −0.0247418 + 0.456335i 0.959745 + 0.280874i \(0.0906243\pi\)
−0.984486 + 0.175461i \(0.943858\pi\)
\(24\) 57.2508 34.4466i 0.486928 0.292975i
\(25\) −28.2813 101.860i −0.226251 0.814882i
\(26\) −0.600708 + 2.16355i −0.00453110 + 0.0163195i
\(27\) −23.1351 13.9200i −0.164902 0.0992184i
\(28\) −0.606257 + 0.894163i −0.00409185 + 0.00603503i
\(29\) −294.685 + 32.0489i −1.88695 + 0.205218i −0.977551 0.210700i \(-0.932426\pi\)
−0.909402 + 0.415918i \(0.863460\pi\)
\(30\) −22.2386 + 2.41860i −0.135340 + 0.0147191i
\(31\) 86.2936 127.273i 0.499961 0.737387i −0.491056 0.871128i \(-0.663389\pi\)
0.991016 + 0.133741i \(0.0426991\pi\)
\(32\) −157.211 94.5906i −0.868475 0.522544i
\(33\) 19.1827 69.0900i 0.101190 0.364455i
\(34\) 59.1715 + 213.117i 0.298466 + 1.07498i
\(35\) 0.794436 0.477996i 0.00383669 0.00230846i
\(36\) −2.49332 + 45.9866i −0.0115432 + 0.212901i
\(37\) 358.654 120.845i 1.59358 0.536939i 0.623938 0.781474i \(-0.285532\pi\)
0.969641 + 0.244534i \(0.0786350\pi\)
\(38\) 14.4803 + 27.3127i 0.0618162 + 0.116598i
\(39\) −2.56842 3.02377i −0.0105455 0.0124152i
\(40\) 54.8891 + 80.9554i 0.216968 + 0.320004i
\(41\) −23.3284 430.267i −0.0888605 1.63894i −0.614993 0.788533i \(-0.710841\pi\)
0.526132 0.850403i \(-0.323642\pi\)
\(42\) 0.398035 + 0.998992i 0.00146234 + 0.00367019i
\(43\) −394.172 182.363i −1.39792 0.646748i −0.431126 0.902292i \(-0.641883\pi\)
−0.966797 + 0.255544i \(0.917745\pi\)
\(44\) −119.446 + 26.2920i −0.409254 + 0.0900835i
\(45\) 18.5137 34.9206i 0.0613304 0.115681i
\(46\) 13.8470 84.4630i 0.0443832 0.270726i
\(47\) 278.874 211.995i 0.865489 0.657928i −0.0752105 0.997168i \(-0.523963\pi\)
0.940700 + 0.339240i \(0.110170\pi\)
\(48\) 8.50032 3.93267i 0.0255607 0.0118257i
\(49\) 248.984 + 235.850i 0.725901 + 0.687610i
\(50\) 29.0384 + 177.127i 0.0821331 + 0.500990i
\(51\) −370.340 124.782i −1.01682 0.342608i
\(52\) −2.50479 + 6.28654i −0.00667984 + 0.0167651i
\(53\) −298.990 + 283.219i −0.774896 + 0.734020i −0.969027 0.246956i \(-0.920570\pi\)
0.194131 + 0.980976i \(0.437811\pi\)
\(54\) 36.4956 + 27.7432i 0.0919708 + 0.0699144i
\(55\) 102.511 + 22.5645i 0.251321 + 0.0553199i
\(56\) 3.04395 3.58362i 0.00726367 0.00855145i
\(57\) −54.3010 5.90559i −0.126182 0.0137231i
\(58\) 503.297 1.13942
\(59\) −274.031 360.952i −0.604674 0.796473i
\(60\) −67.4178 −0.145060
\(61\) 404.753 + 44.0195i 0.849561 + 0.0923954i 0.522533 0.852619i \(-0.324987\pi\)
0.327029 + 0.945014i \(0.393953\pi\)
\(62\) −169.024 + 198.990i −0.346226 + 0.407609i
\(63\) −1.85563 0.408455i −0.00371091 0.000816834i
\(64\) 228.116 + 173.409i 0.445539 + 0.338690i
\(65\) 4.21640 3.99399i 0.00804585 0.00762143i
\(66\) −45.0627 + 113.099i −0.0840430 + 0.210932i
\(67\) 452.704 + 152.534i 0.825471 + 0.278133i 0.700162 0.713984i \(-0.253111\pi\)
0.125309 + 0.992118i \(0.460008\pi\)
\(68\) 107.842 + 657.805i 0.192319 + 1.17310i
\(69\) 109.791 + 104.000i 0.191555 + 0.181451i
\(70\) −1.42872 + 0.660994i −0.00243949 + 0.00112863i
\(71\) 107.998 82.0977i 0.180521 0.137228i −0.511012 0.859574i \(-0.670729\pi\)
0.691532 + 0.722346i \(0.256936\pi\)
\(72\) 32.4283 197.804i 0.0530793 0.323770i
\(73\) −256.061 + 482.982i −0.410543 + 0.774366i −0.999427 0.0338516i \(-0.989223\pi\)
0.588884 + 0.808218i \(0.299567\pi\)
\(74\) −627.575 + 138.140i −0.985866 + 0.217006i
\(75\) −287.829 133.164i −0.443141 0.205019i
\(76\) 34.4850 + 86.5508i 0.0520487 + 0.130632i
\(77\) −0.273182 5.03855i −0.000404311 0.00745709i
\(78\) 3.78027 + 5.57548i 0.00548758 + 0.00809357i
\(79\) 582.663 + 685.964i 0.829807 + 0.976924i 0.999964 0.00849274i \(-0.00270336\pi\)
−0.170157 + 0.985417i \(0.554427\pi\)
\(80\) 6.42219 + 12.1135i 0.00897528 + 0.0169292i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) −39.6093 + 730.551i −0.0533429 + 0.983852i
\(83\) −343.843 + 206.884i −0.454720 + 0.273596i −0.724433 0.689345i \(-0.757899\pi\)
0.269714 + 0.962941i \(0.413071\pi\)
\(84\) 0.867042 + 3.12280i 0.00112622 + 0.00405626i
\(85\) 153.048 551.228i 0.195298 0.703401i
\(86\) 631.865 + 380.181i 0.792277 + 0.476697i
\(87\) −499.046 + 736.037i −0.614981 + 0.907028i
\(88\) 529.197 57.5537i 0.641053 0.0697187i
\(89\) 941.349 102.378i 1.12116 0.121933i 0.471287 0.881980i \(-0.343790\pi\)
0.649868 + 0.760047i \(0.274824\pi\)
\(90\) −37.6609 + 55.5456i −0.0441089 + 0.0650558i
\(91\) −0.239228 0.143939i −0.000275582 0.000165812i
\(92\) 69.0095 248.550i 0.0782036 0.281664i
\(93\) −123.413 444.494i −0.137606 0.495612i
\(94\) −509.643 + 306.642i −0.559209 + 0.336465i
\(95\) 4.32889 79.8417i 0.00467510 0.0862272i
\(96\) −521.608 + 175.750i −0.554546 + 0.186848i
\(97\) 523.064 + 986.603i 0.547516 + 1.03273i 0.990670 + 0.136280i \(0.0435147\pi\)
−0.443154 + 0.896445i \(0.646141\pi\)
\(98\) −376.976 443.811i −0.388575 0.457466i
\(99\) −120.717 178.045i −0.122551 0.180749i
\(100\) 29.2864 + 540.156i 0.0292864 + 0.540156i
\(101\) 636.740 + 1598.10i 0.627307 + 1.57442i 0.806904 + 0.590682i \(0.201141\pi\)
−0.179597 + 0.983740i \(0.557479\pi\)
\(102\) 602.209 + 278.611i 0.584584 + 0.270457i
\(103\) −123.345 + 27.1503i −0.117995 + 0.0259728i −0.273576 0.961851i \(-0.588206\pi\)
0.155580 + 0.987823i \(0.450275\pi\)
\(104\) 13.7961 26.0222i 0.0130079 0.0245355i
\(105\) 0.449989 2.74481i 0.000418233 0.00255111i
\(106\) 556.672 423.171i 0.510083 0.387755i
\(107\) −581.887 + 269.210i −0.525730 + 0.243229i −0.664757 0.747060i \(-0.731465\pi\)
0.139026 + 0.990289i \(0.455603\pi\)
\(108\) 100.305 + 95.0142i 0.0893693 + 0.0846551i
\(109\) −294.224 1794.68i −0.258546 1.57706i −0.722608 0.691258i \(-0.757057\pi\)
0.464062 0.885803i \(-0.346391\pi\)
\(110\) −168.892 56.9063i −0.146393 0.0493255i
\(111\) 420.254 1054.76i 0.359358 0.901921i
\(112\) 0.478507 0.453266i 0.000403702 0.000382407i
\(113\) −910.437 692.096i −0.757936 0.576168i 0.153238 0.988189i \(-0.451030\pi\)
−0.911174 + 0.412022i \(0.864823\pi\)
\(114\) 90.5733 + 19.9367i 0.0744120 + 0.0163793i
\(115\) −143.319 + 168.728i −0.116214 + 0.136817i
\(116\) 1507.94 + 163.998i 1.20697 + 0.131266i
\(117\) −11.9021 −0.00940469
\(118\) 396.288 + 659.574i 0.309163 + 0.514565i
\(119\) −27.5013 −0.0211852
\(120\) 291.707 + 31.7250i 0.221909 + 0.0241340i
\(121\) −491.841 + 579.040i −0.369527 + 0.435041i
\(122\) −675.121 148.605i −0.501005 0.110279i
\(123\) −1029.11 782.306i −0.754402 0.573481i
\(124\) −571.256 + 541.122i −0.413712 + 0.391889i
\(125\) 375.028 941.250i 0.268348 0.673504i
\(126\) 3.05723 + 1.03010i 0.00216158 + 0.000728322i
\(127\) −411.833 2512.07i −0.287750 1.75520i −0.595147 0.803617i \(-0.702906\pi\)
0.307397 0.951581i \(-0.400542\pi\)
\(128\) 712.394 + 674.815i 0.491932 + 0.465983i
\(129\) −1182.52 + 547.090i −0.807091 + 0.373400i
\(130\) −7.85027 + 5.96762i −0.00529626 + 0.00402612i
\(131\) 345.141 2105.27i 0.230192 1.40411i −0.578407 0.815748i \(-0.696326\pi\)
0.808599 0.588360i \(-0.200226\pi\)
\(132\) −171.867 + 324.175i −0.113326 + 0.213756i
\(133\) −3.75396 + 0.826308i −0.00244744 + 0.000538722i
\(134\) −736.139 340.574i −0.474573 0.219561i
\(135\) −43.8889 110.153i −0.0279804 0.0702255i
\(136\) −157.069 2896.97i −0.0990337 1.82657i
\(137\) −564.382 832.402i −0.351959 0.519101i 0.609961 0.792432i \(-0.291185\pi\)
−0.961920 + 0.273330i \(0.911875\pi\)
\(138\) −166.230 195.702i −0.102540 0.120719i
\(139\) −185.631 350.136i −0.113273 0.213656i 0.820393 0.571800i \(-0.193755\pi\)
−0.933666 + 0.358144i \(0.883410\pi\)
\(140\) −4.49600 + 1.51488i −0.00271415 + 0.000914503i
\(141\) 56.8952 1049.37i 0.0339818 0.626758i
\(142\) −197.366 + 118.751i −0.116638 + 0.0701786i
\(143\) −8.45610 30.4561i −0.00494500 0.0178103i
\(144\) 7.51698 27.0737i 0.00435011 0.0156677i
\(145\) −1115.44 671.139i −0.638844 0.384380i
\(146\) 520.881 768.242i 0.295263 0.435481i
\(147\) 1022.84 111.240i 0.573891 0.0624144i
\(148\) −1925.31 + 209.390i −1.06932 + 0.116295i
\(149\) −36.5605 + 53.9228i −0.0201017 + 0.0296478i −0.837607 0.546273i \(-0.816046\pi\)
0.817505 + 0.575921i \(0.195356\pi\)
\(150\) 461.395 + 277.612i 0.251152 + 0.151113i
\(151\) −237.972 + 857.099i −0.128251 + 0.461919i −0.999586 0.0287699i \(-0.990841\pi\)
0.871335 + 0.490689i \(0.163255\pi\)
\(152\) −108.483 390.720i −0.0578890 0.208497i
\(153\) −1004.57 + 604.431i −0.530816 + 0.319381i
\(154\) −0.463837 + 8.55496i −0.000242708 + 0.00447648i
\(155\) 639.952 215.625i 0.331627 0.111738i
\(156\) 9.50940 + 17.9366i 0.00488052 + 0.00920564i
\(157\) 1662.95 + 1957.78i 0.845338 + 0.995209i 0.999974 + 0.00723765i \(0.00230383\pi\)
−0.154635 + 0.987972i \(0.549420\pi\)
\(158\) −857.580 1264.84i −0.431806 0.636867i
\(159\) 66.8889 + 1233.69i 0.0333625 + 0.615334i
\(160\) −298.239 748.524i −0.147362 0.369850i
\(161\) 9.65870 + 4.46859i 0.00472803 + 0.00218742i
\(162\) 134.315 29.5649i 0.0651405 0.0143385i
\(163\) 503.273 949.273i 0.241836 0.456152i −0.732648 0.680608i \(-0.761716\pi\)
0.974484 + 0.224456i \(0.0720605\pi\)
\(164\) −356.723 + 2175.92i −0.169850 + 1.03604i
\(165\) 250.687 190.567i 0.118278 0.0899130i
\(166\) 618.369 286.088i 0.289125 0.133764i
\(167\) 1056.89 + 1001.14i 0.489728 + 0.463895i 0.892267 0.451508i \(-0.149114\pi\)
−0.402539 + 0.915403i \(0.631872\pi\)
\(168\) −2.28206 13.9199i −0.00104800 0.00639253i
\(169\) 2080.34 + 700.947i 0.946899 + 0.319047i
\(170\) −359.529 + 902.350i −0.162204 + 0.407101i
\(171\) −118.964 + 112.689i −0.0532013 + 0.0503950i
\(172\) 1769.27 + 1344.96i 0.784333 + 0.596234i
\(173\) 486.205 + 107.022i 0.213673 + 0.0470330i 0.320517 0.947243i \(-0.396143\pi\)
−0.106844 + 0.994276i \(0.534074\pi\)
\(174\) 977.482 1150.78i 0.425878 0.501382i
\(175\) −22.1871 2.41299i −0.00958392 0.00104231i
\(176\) 74.6192 0.0319582
\(177\) −1357.52 74.4587i −0.576484 0.0316195i
\(178\) −1607.74 −0.676997
\(179\) −1203.15 130.851i −0.502391 0.0546383i −0.146585 0.989198i \(-0.546828\pi\)
−0.355806 + 0.934560i \(0.615794\pi\)
\(180\) −130.936 + 154.150i −0.0542189 + 0.0638314i
\(181\) −1781.34 392.102i −0.731523 0.161020i −0.166437 0.986052i \(-0.553226\pi\)
−0.565086 + 0.825032i \(0.691157\pi\)
\(182\) 0.377382 + 0.286878i 0.000153700 + 0.000116840i
\(183\) 886.744 839.968i 0.358197 0.339302i
\(184\) −415.555 + 1042.96i −0.166495 + 0.417871i
\(185\) 1575.08 + 530.707i 0.625959 + 0.210910i
\(186\) 126.717 + 772.940i 0.0499535 + 0.304703i
\(187\) −2260.39 2141.16i −0.883937 0.837309i
\(188\) −1626.87 + 752.671i −0.631127 + 0.291990i
\(189\) −4.53786 + 3.44959i −0.00174646 + 0.00132762i
\(190\) −21.9639 + 133.974i −0.00838648 + 0.0511553i
\(191\) −1718.23 + 3240.92i −0.650925 + 1.22777i 0.309940 + 0.950756i \(0.399691\pi\)
−0.960865 + 0.277018i \(0.910654\pi\)
\(192\) 839.536 184.796i 0.315564 0.0694609i
\(193\) 1710.08 + 791.169i 0.637795 + 0.295075i 0.712013 0.702167i \(-0.247784\pi\)
−0.0742175 + 0.997242i \(0.523646\pi\)
\(194\) −701.789 1761.36i −0.259719 0.651846i
\(195\) −0.943276 17.3977i −0.000346407 0.00638910i
\(196\) −984.853 1452.55i −0.358911 0.529355i
\(197\) 322.092 + 379.196i 0.116488 + 0.137140i 0.817315 0.576191i \(-0.195461\pi\)
−0.700827 + 0.713331i \(0.747186\pi\)
\(198\) 171.080 + 322.691i 0.0614047 + 0.115822i
\(199\) −1102.61 + 371.512i −0.392773 + 0.132341i −0.508757 0.860910i \(-0.669895\pi\)
0.115983 + 0.993251i \(0.462998\pi\)
\(200\) 127.465 2350.96i 0.0450657 0.831188i
\(201\) 1227.99 738.856i 0.430923 0.259278i
\(202\) −781.414 2814.40i −0.272179 0.980299i
\(203\) −16.7419 + 60.2988i −0.00578842 + 0.0208480i
\(204\) 1713.51 + 1030.98i 0.588086 + 0.353840i
\(205\) 1061.96 1566.28i 0.361809 0.533628i
\(206\) 213.184 23.1852i 0.0721031 0.00784168i
\(207\) 451.026 49.0521i 0.151442 0.0164703i
\(208\) 2.31697 3.41727i 0.000772369 0.00113916i
\(209\) −372.879 224.354i −0.123409 0.0742530i
\(210\) −1.26344 + 4.55049i −0.000415169 + 0.00149530i
\(211\) 1270.74 + 4576.78i 0.414602 + 1.49326i 0.816375 + 0.577523i \(0.195980\pi\)
−0.401773 + 0.915740i \(0.631606\pi\)
\(212\) 1805.75 1086.48i 0.584997 0.351981i
\(213\) 22.0334 406.382i 0.00708781 0.130727i
\(214\) 1031.62 347.592i 0.329532 0.111032i
\(215\) −893.419 1685.17i −0.283398 0.534546i
\(216\) −389.295 458.313i −0.122630 0.144372i
\(217\) −18.2180 26.8696i −0.00569917 0.00840565i
\(218\) 167.174 + 3083.35i 0.0519380 + 0.957939i
\(219\) 607.020 + 1523.51i 0.187300 + 0.470087i
\(220\) −487.478 225.532i −0.149390 0.0691152i
\(221\) −168.243 + 37.0331i −0.0512093 + 0.0112720i
\(222\) −902.995 + 1703.23i −0.272996 + 0.514925i
\(223\) 218.737 1334.23i 0.0656847 0.400659i −0.933436 0.358743i \(-0.883206\pi\)
0.999121 0.0419160i \(-0.0133462\pi\)
\(224\) −30.8362 + 23.4411i −0.00919790 + 0.00699206i
\(225\) −863.486 + 399.491i −0.255848 + 0.118368i
\(226\) 1409.72 + 1335.36i 0.414926 + 0.393038i
\(227\) −152.216 928.475i −0.0445062 0.271476i 0.955193 0.295982i \(-0.0956469\pi\)
−0.999700 + 0.0245063i \(0.992199\pi\)
\(228\) 264.873 + 89.2459i 0.0769369 + 0.0259231i
\(229\) −1133.06 + 2843.76i −0.326963 + 0.820614i 0.669973 + 0.742386i \(0.266306\pi\)
−0.996935 + 0.0782288i \(0.975074\pi\)
\(230\) 272.889 258.495i 0.0782339 0.0741071i
\(231\) −12.0511 9.16103i −0.00343249 0.00260931i
\(232\) −6447.46 1419.19i −1.82455 0.401615i
\(233\) 3314.23 3901.81i 0.931855 1.09706i −0.0632260 0.997999i \(-0.520139\pi\)
0.995081 0.0990652i \(-0.0315852\pi\)
\(234\) 20.0901 + 2.18493i 0.00561253 + 0.000610400i
\(235\) 1538.41 0.427042
\(236\) 972.407 + 2105.30i 0.268213 + 0.580691i
\(237\) 2700.07 0.740036
\(238\) 46.4208 + 5.04857i 0.0126429 + 0.00137500i
\(239\) −996.031 + 1172.62i −0.269573 + 0.317366i −0.880246 0.474517i \(-0.842623\pi\)
0.610674 + 0.791882i \(0.290899\pi\)
\(240\) 40.1703 + 8.84216i 0.0108041 + 0.00237816i
\(241\) −344.466 261.856i −0.0920705 0.0699902i 0.558126 0.829756i \(-0.311520\pi\)
−0.650197 + 0.759766i \(0.725314\pi\)
\(242\) 936.500 887.100i 0.248762 0.235640i
\(243\) −89.9436 + 225.741i −0.0237444 + 0.0595939i
\(244\) −1974.32 665.227i −0.518005 0.174536i
\(245\) 243.666 + 1486.30i 0.0635398 + 0.387576i
\(246\) 1593.47 + 1509.41i 0.412991 + 0.391206i
\(247\) −21.8526 + 10.1101i −0.00562935 + 0.00260441i
\(248\) 2726.38 2072.54i 0.698086 0.530671i
\(249\) −194.762 + 1187.99i −0.0495684 + 0.302354i
\(250\) −805.819 + 1519.94i −0.203858 + 0.384517i
\(251\) 1066.68 234.793i 0.268239 0.0590438i −0.0788142 0.996889i \(-0.525113\pi\)
0.347053 + 0.937845i \(0.387182\pi\)
\(252\) 8.82418 + 4.08250i 0.00220584 + 0.00102053i
\(253\) 445.960 + 1119.28i 0.110819 + 0.278135i
\(254\) 233.999 + 4315.85i 0.0578046 + 1.06614i
\(255\) −963.133 1420.52i −0.236524 0.348847i
\(256\) −2562.65 3016.98i −0.625646 0.736567i
\(257\) 1762.32 + 3324.09i 0.427745 + 0.806813i 0.999911 0.0133250i \(-0.00424160\pi\)
−0.572166 + 0.820138i \(0.693897\pi\)
\(258\) 2096.46 706.380i 0.505891 0.170455i
\(259\) 4.32573 79.7834i 0.00103779 0.0191409i
\(260\) −25.4649 + 15.3217i −0.00607411 + 0.00365467i
\(261\) 713.713 + 2570.56i 0.169263 + 0.609631i
\(262\) −969.057 + 3490.23i −0.228506 + 0.823004i
\(263\) 103.892 + 62.5100i 0.0243585 + 0.0146560i 0.527681 0.849443i \(-0.323062\pi\)
−0.503323 + 0.864099i \(0.667889\pi\)
\(264\) 896.190 1321.78i 0.208927 0.308144i
\(265\) −1798.03 + 195.548i −0.416800 + 0.0453298i
\(266\) 6.48818 0.705632i 0.00149555 0.000162651i
\(267\) 1594.16 2351.22i 0.365398 0.538922i
\(268\) −2094.59 1260.27i −0.477416 0.287252i
\(269\) −716.832 + 2581.80i −0.162476 + 0.585185i 0.836813 + 0.547488i \(0.184416\pi\)
−0.999289 + 0.0376970i \(0.987998\pi\)
\(270\) 53.8609 + 193.989i 0.0121403 + 0.0437253i
\(271\) 7170.56 4314.38i 1.60731 0.967085i 0.624818 0.780770i \(-0.285173\pi\)
0.982490 0.186315i \(-0.0596546\pi\)
\(272\) 22.0177 406.092i 0.00490815 0.0905255i
\(273\) −0.793733 + 0.267440i −0.000175967 + 5.92901e-5i
\(274\) 799.840 + 1508.66i 0.176351 + 0.332633i
\(275\) −1635.74 1925.74i −0.358686 0.422278i
\(276\) −434.278 640.512i −0.0947118 0.139689i
\(277\) 38.0340 + 701.496i 0.00824998 + 0.152162i 0.999756 + 0.0220994i \(0.00703503\pi\)
−0.991506 + 0.130062i \(0.958482\pi\)
\(278\) 249.059 + 625.090i 0.0537322 + 0.134858i
\(279\) −1256.02 581.096i −0.269519 0.124693i
\(280\) 20.1664 4.43895i 0.00430418 0.000947422i
\(281\) −2919.75 + 5507.23i −0.619850 + 1.16916i 0.352540 + 0.935797i \(0.385318\pi\)
−0.972390 + 0.233364i \(0.925027\pi\)
\(282\) −288.675 + 1760.84i −0.0609587 + 0.371831i
\(283\) −3974.98 + 3021.70i −0.834940 + 0.634705i −0.932760 0.360499i \(-0.882606\pi\)
0.0978194 + 0.995204i \(0.468813\pi\)
\(284\) −630.027 + 291.482i −0.131638 + 0.0609023i
\(285\) −174.150 164.963i −0.0361955 0.0342862i
\(286\) 8.68247 + 52.9607i 0.00179512 + 0.0109498i
\(287\) −86.2080 29.0469i −0.0177307 0.00597415i
\(288\) −611.195 + 1533.98i −0.125052 + 0.313857i
\(289\) −8752.72 + 8291.02i −1.78154 + 1.68757i
\(290\) 1759.60 + 1337.62i 0.356302 + 0.270854i
\(291\) 3271.73 + 720.162i 0.659079 + 0.145074i
\(292\) 1810.96 2132.02i 0.362939 0.427285i
\(293\) −5397.84 587.051i −1.07626 0.117051i −0.447223 0.894423i \(-0.647587\pi\)
−0.629041 + 0.777372i \(0.716552\pi\)
\(294\) −1746.91 −0.346538
\(295\) 1.25114 1990.24i 0.000246930 0.392801i
\(296\) 8429.04 1.65516
\(297\) −641.549 69.7727i −0.125342 0.0136317i
\(298\) 71.6113 84.3073i 0.0139206 0.0163886i
\(299\) 65.1058 + 14.3309i 0.0125925 + 0.00277182i
\(300\) 1291.94 + 982.105i 0.248633 + 0.189006i
\(301\) −66.5672 + 63.0558i −0.0127471 + 0.0120747i
\(302\) 559.028 1403.05i 0.106518 0.267340i
\(303\) 4890.68 + 1647.86i 0.927268 + 0.312433i
\(304\) −9.19606 56.0935i −0.00173497 0.0105828i
\(305\) 1298.09 + 1229.61i 0.243699 + 0.230844i
\(306\) 1806.63 835.834i 0.337510 0.156149i
\(307\) 7451.01 5664.11i 1.38518 1.05299i 0.394198 0.919026i \(-0.371022\pi\)
0.990986 0.133964i \(-0.0427707\pi\)
\(308\) −4.17733 + 25.4806i −0.000772810 + 0.00471393i
\(309\) −177.477 + 334.756i −0.0326741 + 0.0616299i
\(310\) −1119.79 + 246.484i −0.205161 + 0.0451593i
\(311\) −1242.10 574.656i −0.226472 0.104777i 0.303372 0.952872i \(-0.401888\pi\)
−0.529844 + 0.848095i \(0.677750\pi\)
\(312\) −32.7052 82.0840i −0.00593452 0.0148945i
\(313\) −142.113 2621.11i −0.0256635 0.473336i −0.982913 0.184072i \(-0.941072\pi\)
0.957249 0.289264i \(-0.0934106\pi\)
\(314\) −2447.58 3609.91i −0.439888 0.648787i
\(315\) −5.40202 6.35975i −0.000966252 0.00113756i
\(316\) −2157.27 4069.05i −0.384038 0.724373i
\(317\) 2888.41 973.219i 0.511764 0.172433i −0.0515592 0.998670i \(-0.516419\pi\)
0.563323 + 0.826236i \(0.309523\pi\)
\(318\) 113.571 2094.69i 0.0200275 0.369385i
\(319\) −6070.71 + 3652.62i −1.06550 + 0.641090i
\(320\) 336.658 + 1212.53i 0.0588118 + 0.211821i
\(321\) −514.573 + 1853.32i −0.0894725 + 0.322251i
\(322\) −15.4831 9.31586i −0.00267962 0.00161227i
\(323\) −1331.00 + 1963.08i −0.229284 + 0.338169i
\(324\) 412.057 44.8140i 0.0706546 0.00768415i
\(325\) −138.982 + 15.1152i −0.0237210 + 0.00257981i
\(326\) −1023.76 + 1509.94i −0.173929 + 0.256526i
\(327\) −4674.95 2812.82i −0.790597 0.475687i
\(328\) 2567.42 9247.00i 0.432201 1.55665i
\(329\) −19.7851 71.2594i −0.00331546 0.0119412i
\(330\) −458.130 + 275.648i −0.0764220 + 0.0459816i
\(331\) −164.100 + 3026.64i −0.0272499 + 0.502596i 0.952770 + 0.303694i \(0.0982201\pi\)
−0.980020 + 0.198901i \(0.936263\pi\)
\(332\) 1945.93 655.661i 0.321678 0.108386i
\(333\) −1595.49 3009.41i −0.262559 0.495240i
\(334\) −1600.19 1883.89i −0.262151 0.308628i
\(335\) 1177.33 + 1736.44i 0.192014 + 0.283199i
\(336\) −0.107050 1.97441i −1.73811e−5 0.000320575i
\(337\) 2938.27 + 7374.50i 0.474949 + 1.19203i 0.950049 + 0.312100i \(0.101032\pi\)
−0.475100 + 0.879932i \(0.657588\pi\)
\(338\) −3382.83 1565.06i −0.544383 0.251858i
\(339\) −3350.68 + 737.541i −0.536826 + 0.118164i
\(340\) −1371.22 + 2586.40i −0.218721 + 0.412551i
\(341\) 594.594 3626.86i 0.0944254 0.575969i
\(342\) 221.493 168.374i 0.0350203 0.0266218i
\(343\) 131.432 60.8070i 0.0206900 0.00957222i
\(344\) −7022.45 6652.02i −1.10065 1.04260i
\(345\) 107.446 + 655.393i 0.0167673 + 0.102276i
\(346\) −801.043 269.903i −0.124463 0.0419366i
\(347\) 1994.26 5005.21i 0.308523 0.774334i −0.690191 0.723628i \(-0.742473\pi\)
0.998714 0.0507066i \(-0.0161473\pi\)
\(348\) 3303.64 3129.37i 0.508890 0.482046i
\(349\) 4462.25 + 3392.11i 0.684409 + 0.520274i 0.888615 0.458654i \(-0.151668\pi\)
−0.204206 + 0.978928i \(0.565461\pi\)
\(350\) 37.0077 + 8.14601i 0.00565184 + 0.00124406i
\(351\) −23.1158 + 27.2140i −0.00351518 + 0.00413839i
\(352\) −4359.53 474.128i −0.660125 0.0717929i
\(353\) 6749.49 1.01768 0.508838 0.860863i \(-0.330075\pi\)
0.508838 + 0.860863i \(0.330075\pi\)
\(354\) 2277.76 + 374.890i 0.341982 + 0.0562859i
\(355\) 595.769 0.0890708
\(356\) −4817.00 523.881i −0.717137 0.0779933i
\(357\) −53.4119 + 62.8814i −0.00791837 + 0.00932223i
\(358\) 2006.84 + 441.739i 0.296271 + 0.0652141i
\(359\) −6732.93 5118.24i −0.989834 0.752452i −0.0209021 0.999782i \(-0.506654\pi\)
−0.968931 + 0.247330i \(0.920447\pi\)
\(360\) 639.080 605.369i 0.0935624 0.0886270i
\(361\) 2416.08 6063.90i 0.352249 0.884079i
\(362\) 2934.83 + 988.858i 0.426108 + 0.143572i
\(363\) 368.734 + 2249.17i 0.0533154 + 0.325210i
\(364\) 1.03720 + 0.982491i 0.000149352 + 0.000141474i
\(365\) −2178.85 + 1008.04i −0.312456 + 0.144557i
\(366\) −1650.98 + 1255.04i −0.235787 + 0.179240i
\(367\) 35.1001 214.101i 0.00499240 0.0304523i −0.984213 0.176989i \(-0.943364\pi\)
0.989205 + 0.146537i \(0.0468126\pi\)
\(368\) −73.7172 + 139.045i −0.0104423 + 0.0196963i
\(369\) −3787.42 + 833.674i −0.534323 + 0.117613i
\(370\) −2561.24 1184.95i −0.359871 0.166494i
\(371\) 32.1818 + 80.7702i 0.00450349 + 0.0113029i
\(372\) 127.799 + 2357.11i 0.0178120 + 0.328523i
\(373\) 3698.84 + 5455.38i 0.513455 + 0.757290i 0.992728 0.120376i \(-0.0384100\pi\)
−0.479273 + 0.877666i \(0.659100\pi\)
\(374\) 3422.36 + 4029.12i 0.473172 + 0.557061i
\(375\) −1423.79 2685.55i −0.196065 0.369817i
\(376\) 7393.43 2491.13i 1.01406 0.341677i
\(377\) −21.2228 + 391.431i −0.00289928 + 0.0534740i
\(378\) 8.29293 4.98969i 0.00112842 0.000678947i
\(379\) −787.528 2836.42i −0.106735 0.384425i 0.890816 0.454364i \(-0.150133\pi\)
−0.997551 + 0.0699389i \(0.977720\pi\)
\(380\) −109.462 + 394.246i −0.0147771 + 0.0532221i
\(381\) −6543.66 3937.19i −0.879900 0.529418i
\(382\) 3495.24 5155.09i 0.468146 0.690464i
\(383\) 11330.3 1232.24i 1.51162 0.164398i 0.685572 0.728005i \(-0.259552\pi\)
0.826043 + 0.563607i \(0.190587\pi\)
\(384\) 2926.54 318.280i 0.388917 0.0422973i
\(385\) 12.4359 18.3416i 0.00164621 0.00242798i
\(386\) −2741.29 1649.38i −0.361472 0.217491i
\(387\) −1045.72 + 3766.34i −0.137356 + 0.494713i
\(388\) −1528.71 5505.93i −0.200022 0.720415i
\(389\) −5563.64 + 3347.53i −0.725162 + 0.436315i −0.829703 0.558205i \(-0.811490\pi\)
0.104541 + 0.994521i \(0.466663\pi\)
\(390\) −1.60159 + 29.5396i −0.000207948 + 0.00383537i
\(391\) 6222.89 2096.74i 0.804873 0.271193i
\(392\) 3577.78 + 6748.41i 0.460983 + 0.869506i
\(393\) −4143.35 4877.93i −0.531817 0.626104i
\(394\) −474.064 699.193i −0.0606168 0.0894031i
\(395\) 213.989 + 3946.79i 0.0272581 + 0.502746i
\(396\) 407.429 + 1022.57i 0.0517022 + 0.129763i
\(397\) 1402.23 + 648.743i 0.177270 + 0.0820138i 0.506517 0.862230i \(-0.330933\pi\)
−0.329247 + 0.944244i \(0.606795\pi\)
\(398\) 1929.35 424.682i 0.242989 0.0534859i
\(399\) −5.40144 + 10.1882i −0.000677719 + 0.00127831i
\(400\) 53.3939 325.688i 0.00667424 0.0407111i
\(401\) −5287.53 + 4019.48i −0.658471 + 0.500557i −0.880231 0.474545i \(-0.842613\pi\)
0.221761 + 0.975101i \(0.428820\pi\)
\(402\) −2208.42 + 1021.72i −0.273995 + 0.126763i
\(403\) −147.634 139.846i −0.0182485 0.0172859i
\(404\) −1424.15 8686.91i −0.175381 1.06978i
\(405\) −337.102 113.583i −0.0413599 0.0139358i
\(406\) 39.3288 98.7080i 0.00480753 0.0120660i
\(407\) 6567.20 6220.78i 0.799813 0.757623i
\(408\) −6928.94 5267.24i −0.840769 0.639136i
\(409\) −8275.01 1821.47i −1.00042 0.220210i −0.315579 0.948899i \(-0.602199\pi\)
−0.684844 + 0.728689i \(0.740130\pi\)
\(410\) −2080.07 + 2448.85i −0.250555 + 0.294976i
\(411\) −2999.40 326.204i −0.359974 0.0391495i
\(412\) 646.281 0.0772815
\(413\) −92.2043 + 25.5380i −0.0109857 + 0.00304272i
\(414\) −770.315 −0.0914466
\(415\) −1751.97 190.538i −0.207231 0.0225377i
\(416\) −157.079 + 184.928i −0.0185131 + 0.0217953i
\(417\) −1161.11 255.579i −0.136354 0.0300138i
\(418\) 588.215 + 447.150i 0.0688291 + 0.0523225i
\(419\) 11077.3 10493.0i 1.29156 1.22343i 0.331560 0.943434i \(-0.392425\pi\)
0.960001 0.279997i \(-0.0903335\pi\)
\(420\) −5.26819 + 13.2222i −0.000612051 + 0.00153613i
\(421\) 1404.40 + 473.198i 0.162580 + 0.0547797i 0.399415 0.916770i \(-0.369213\pi\)
−0.236834 + 0.971550i \(0.576110\pi\)
\(422\) −1304.75 7958.64i −0.150508 0.918059i
\(423\) −2288.87 2168.13i −0.263094 0.249216i
\(424\) −8324.48 + 3851.32i −0.953473 + 0.441124i
\(425\) −10962.9 + 8333.76i −1.25124 + 0.951169i
\(426\) −111.793 + 681.908i −0.0127145 + 0.0775552i
\(427\) 40.2616 75.9414i 0.00456298 0.00860670i
\(428\) 3204.11 705.279i 0.361861 0.0796517i
\(429\) −86.0606 39.8159i −0.00968542 0.00448095i
\(430\) 1198.69 + 3008.49i 0.134433 + 0.337400i
\(431\) −934.275 17231.7i −0.104414 1.92580i −0.316573 0.948568i \(-0.602532\pi\)
0.212159 0.977235i \(-0.431951\pi\)
\(432\) −47.3045 69.7690i −0.00526838 0.00777028i
\(433\) 7928.51 + 9334.17i 0.879954 + 1.03596i 0.999072 + 0.0430817i \(0.0137176\pi\)
−0.119118 + 0.992880i \(0.538007\pi\)
\(434\) 25.8185 + 48.6989i 0.00285560 + 0.00538623i
\(435\) −3700.92 + 1246.98i −0.407920 + 0.137444i
\(436\) −503.829 + 9292.57i −0.0553418 + 1.02072i
\(437\) 786.432 473.181i 0.0860873 0.0517970i
\(438\) −744.941 2683.04i −0.0812664 0.292695i
\(439\) −1046.85 + 3770.43i −0.113812 + 0.409915i −0.998406 0.0564486i \(-0.982022\pi\)
0.884593 + 0.466363i \(0.154436\pi\)
\(440\) 2003.12 + 1205.24i 0.217034 + 0.130585i
\(441\) 1732.16 2554.74i 0.187038 0.275860i
\(442\) 290.784 31.6247i 0.0312923 0.00340324i
\(443\) −9532.33 + 1036.70i −1.02234 + 0.111186i −0.603900 0.797060i \(-0.706387\pi\)
−0.418436 + 0.908246i \(0.637422\pi\)
\(444\) −3260.48 + 4808.85i −0.348504 + 0.514004i
\(445\) 3563.20 + 2143.90i 0.379577 + 0.228384i
\(446\) −614.149 + 2211.97i −0.0652036 + 0.234842i
\(447\) 52.2873 + 188.322i 0.00553267 + 0.0199269i
\(448\) 51.8351 31.1881i 0.00546647 0.00328906i
\(449\) −530.713 + 9788.42i −0.0557815 + 1.02883i 0.827940 + 0.560816i \(0.189513\pi\)
−0.883722 + 0.468013i \(0.844970\pi\)
\(450\) 1530.86 515.806i 0.160367 0.0540341i
\(451\) −4824.13 9099.28i −0.503680 0.950041i
\(452\) 3788.57 + 4460.25i 0.394247 + 0.464143i
\(453\) 1497.57 + 2208.74i 0.155324 + 0.229086i
\(454\) 86.4871 + 1595.16i 0.00894062 + 0.164900i
\(455\) −0.453832 1.13903i −4.67604e−5 0.000117360i
\(456\) −1104.07 510.796i −0.113383 0.0524566i
\(457\) 14048.0 3092.21i 1.43794 0.316515i 0.573482 0.819218i \(-0.305592\pi\)
0.864459 + 0.502703i \(0.167661\pi\)
\(458\) 2434.59 4592.12i 0.248386 0.468505i
\(459\) −569.016 + 3470.84i −0.0578636 + 0.352952i
\(460\) 901.841 685.562i 0.0914099 0.0694880i
\(461\) −4944.23 + 2287.45i −0.499514 + 0.231100i −0.653434 0.756984i \(-0.726672\pi\)
0.153920 + 0.988083i \(0.450810\pi\)
\(462\) 18.6600 + 17.6756i 0.00187909 + 0.00177997i
\(463\) −1833.35 11182.9i −0.184023 1.12249i −0.903695 0.428178i \(-0.859156\pi\)
0.719671 0.694315i \(-0.244292\pi\)
\(464\) −876.985 295.491i −0.0877435 0.0295642i
\(465\) 749.865 1882.02i 0.0747831 0.187691i
\(466\) −6310.52 + 5977.65i −0.627316 + 0.594226i
\(467\) −7764.03 5902.06i −0.769329 0.584829i 0.145175 0.989406i \(-0.453626\pi\)
−0.914504 + 0.404577i \(0.867419\pi\)
\(468\) 59.4806 + 13.0927i 0.00587498 + 0.00129318i
\(469\) 65.2907 76.8661i 0.00642824 0.00756791i
\(470\) −2596.76 282.414i −0.254850 0.0277166i
\(471\) 7706.16 0.753887
\(472\) −3216.77 9566.89i −0.313694 0.932949i
\(473\) −10380.6 −1.00909
\(474\) −4557.59 495.667i −0.441639 0.0480311i
\(475\) −1246.05 + 1466.96i −0.120363 + 0.141702i
\(476\) 137.438 + 30.2523i 0.0132341 + 0.00291305i
\(477\) 2950.73 + 2243.09i 0.283238 + 0.215312i
\(478\) 1896.51 1796.47i 0.181474 0.171901i
\(479\) −5867.46 + 14726.2i −0.559689 + 1.40471i 0.328179 + 0.944616i \(0.393565\pi\)
−0.887868 + 0.460098i \(0.847814\pi\)
\(480\) −2290.72 771.833i −0.217826 0.0733941i
\(481\) −80.9726 493.911i −0.00767574 0.0468199i
\(482\) 533.371 + 505.236i 0.0504033 + 0.0477445i
\(483\) 28.9761 13.4058i 0.00272973 0.00126291i
\(484\) 3094.93 2352.71i 0.290659 0.220953i
\(485\) −793.391 + 4839.47i −0.0742805 + 0.453091i
\(486\) 193.261 364.529i 0.0180380 0.0340234i
\(487\) 15410.8 3392.17i 1.43394 0.315635i 0.571006 0.820946i \(-0.306553\pi\)
0.862937 + 0.505312i \(0.168622\pi\)
\(488\) 8229.57 + 3807.40i 0.763392 + 0.353183i
\(489\) −1193.06 2994.36i −0.110332 0.276912i
\(490\) −138.448 2553.53i −0.0127642 0.235422i
\(491\) 1952.30 + 2879.42i 0.179442 + 0.264657i 0.906763 0.421640i \(-0.138545\pi\)
−0.727321 + 0.686297i \(0.759235\pi\)
\(492\) 4282.39 + 5041.62i 0.392408 + 0.461979i
\(493\) 18087.0 + 34115.7i 1.65233 + 3.11662i
\(494\) 38.7421 13.0537i 0.00352852 0.00118890i
\(495\) 51.1445 943.304i 0.00464399 0.0856533i
\(496\) 411.349 247.500i 0.0372381 0.0224054i
\(497\) −7.66203 27.5961i −0.000691527 0.00249065i
\(498\) 546.835 1969.52i 0.0492053 0.177222i
\(499\) 15270.7 + 9188.10i 1.36996 + 0.824280i 0.994718 0.102645i \(-0.0327306\pi\)
0.375246 + 0.926925i \(0.377558\pi\)
\(500\) −2909.60 + 4291.34i −0.260243 + 0.383830i
\(501\) 4341.73 472.192i 0.387174 0.0421078i
\(502\) −1843.60 + 200.503i −0.163912 + 0.0178265i
\(503\) 5724.26 8442.65i 0.507420 0.748388i −0.484564 0.874756i \(-0.661022\pi\)
0.991983 + 0.126368i \(0.0403319\pi\)
\(504\) −36.2598 21.8168i −0.00320464 0.00192817i
\(505\) −2021.14 + 7279.47i −0.178098 + 0.641450i
\(506\) −547.287 1971.15i −0.0480827 0.173178i
\(507\) 5643.05 3395.31i 0.494313 0.297418i
\(508\) −705.223 + 13007.1i −0.0615929 + 1.13601i
\(509\) 717.065 241.607i 0.0624427 0.0210394i −0.287907 0.957658i \(-0.592959\pi\)
0.350350 + 0.936619i \(0.386063\pi\)
\(510\) 1364.95 + 2574.57i 0.118512 + 0.223537i
\(511\) 74.7145 + 87.9607i 0.00646805 + 0.00761478i
\(512\) −633.612 934.507i −0.0546913 0.0806636i
\(513\) 26.6142 + 490.870i 0.00229054 + 0.0422465i
\(514\) −2364.49 5934.41i −0.202905 0.509252i
\(515\) −503.391 232.893i −0.0430719 0.0199272i
\(516\) 6511.43 1433.27i 0.555523 0.122280i
\(517\) 3921.83 7397.36i 0.333621 0.629276i
\(518\) −21.9479 + 133.876i −0.00186165 + 0.0113556i
\(519\) 1188.99 903.847i 0.100560 0.0764441i
\(520\) 117.393 54.3118i 0.00990005 0.00458025i
\(521\) 3664.16 + 3470.88i 0.308119 + 0.291866i 0.826097 0.563528i \(-0.190556\pi\)
−0.517978 + 0.855394i \(0.673315\pi\)
\(522\) −732.819 4470.00i −0.0614456 0.374802i
\(523\) 3583.92 + 1207.56i 0.299644 + 0.100962i 0.465108 0.885254i \(-0.346016\pi\)
−0.165464 + 0.986216i \(0.552912\pi\)
\(524\) −4040.70 + 10141.4i −0.336868 + 0.845475i
\(525\) −48.6081 + 46.0440i −0.00404082 + 0.00382767i
\(526\) −163.890 124.586i −0.0135854 0.0103274i
\(527\) −19562.6 4306.06i −1.61700 0.355929i
\(528\) 144.922 170.616i 0.0119450 0.0140627i
\(529\) 9569.45 + 1040.74i 0.786509 + 0.0855380i
\(530\) 3070.88 0.251680
\(531\) −2806.77 + 2959.35i −0.229385 + 0.241854i
\(532\) 19.6693 0.00160296
\(533\) −566.504 61.6110i −0.0460375 0.00500688i
\(534\) −3122.49 + 3676.08i −0.253040 + 0.297902i
\(535\) −2749.85 605.288i −0.222218 0.0489138i
\(536\) 8469.93 + 6438.67i 0.682547 + 0.518859i
\(537\) −2635.90 + 2496.86i −0.211821 + 0.200647i
\(538\) 1683.93 4226.35i 0.134943 0.338682i
\(539\) 7767.95 + 2617.33i 0.620760 + 0.209158i
\(540\) 98.1629 + 598.767i 0.00782270 + 0.0477163i
\(541\) 7453.41 + 7060.24i 0.592324 + 0.561079i 0.924038 0.382301i \(-0.124868\pi\)
−0.331714 + 0.943380i \(0.607627\pi\)
\(542\) −12895.6 + 5966.12i −1.02198 + 0.472817i
\(543\) −4356.17 + 3311.48i −0.344275 + 0.261711i
\(544\) −3866.64 + 23585.5i −0.304744 + 1.85886i
\(545\) 3741.10 7056.46i 0.294039 0.554616i
\(546\) 1.38888 0.305715i 0.000108862 2.39623e-5i
\(547\) −19258.4 8909.87i −1.50535 0.696451i −0.518058 0.855346i \(-0.673345\pi\)
−0.987295 + 0.158895i \(0.949207\pi\)
\(548\) 1904.83 + 4780.76i 0.148486 + 0.372671i
\(549\) −198.379 3658.88i −0.0154218 0.284439i
\(550\) 2407.52 + 3550.83i 0.186649 + 0.275287i
\(551\) 3493.94 + 4113.38i 0.270139 + 0.318032i
\(552\) 1577.65 + 2975.76i 0.121647 + 0.229451i
\(553\) 180.064 60.6706i 0.0138465 0.00466542i
\(554\) 64.5781 1191.07i 0.00495245 0.0913427i
\(555\) 4272.52 2570.69i 0.326771 0.196612i
\(556\) 542.526 + 1954.00i 0.0413817 + 0.149043i
\(557\) −40.0226 + 144.149i −0.00304455 + 0.0109655i −0.965057 0.262041i \(-0.915604\pi\)
0.962012 + 0.273007i \(0.0880181\pi\)
\(558\) 2013.42 + 1211.44i 0.152751 + 0.0919071i
\(559\) −322.323 + 475.391i −0.0243879 + 0.0359694i
\(560\) 2.87759 0.312956i 0.000217143 2.36157e-5i
\(561\) −9285.76 + 1009.89i −0.698833 + 0.0760027i
\(562\) 5939.39 8759.94i 0.445797 0.657501i
\(563\) −15334.2 9226.28i −1.14789 0.690660i −0.191134 0.981564i \(-0.561216\pi\)
−0.956752 + 0.290904i \(0.906044\pi\)
\(564\) −1438.67 + 5181.63i −0.107410 + 0.386855i
\(565\) −1343.64 4839.36i −0.100048 0.360342i
\(566\) 7264.28 4370.77i 0.539471 0.324589i
\(567\) −0.925801 + 17.0754i −6.85714e−5 + 0.00126473i
\(568\) 2863.20 964.724i 0.211509 0.0712657i
\(569\) −1323.91 2497.16i −0.0975418 0.183983i 0.829939 0.557854i \(-0.188375\pi\)
−0.927481 + 0.373871i \(0.878030\pi\)
\(570\) 263.673 + 310.419i 0.0193755 + 0.0228106i
\(571\) −3969.88 5855.13i −0.290953 0.429124i 0.653918 0.756565i \(-0.273124\pi\)
−0.944871 + 0.327441i \(0.893814\pi\)
\(572\) 8.75661 + 161.506i 0.000640091 + 0.0118058i
\(573\) 4073.25 + 10223.1i 0.296968 + 0.745333i
\(574\) 140.183 + 64.8553i 0.0101936 + 0.00471604i
\(575\) 5204.38 1145.57i 0.377457 0.0830845i
\(576\) 1207.98 2278.49i 0.0873827 0.164821i
\(577\) 2247.88 13711.5i 0.162185 0.989283i −0.772814 0.634632i \(-0.781152\pi\)
0.934999 0.354651i \(-0.115400\pi\)
\(578\) 16296.2 12388.0i 1.17272 0.891478i
\(579\) 5130.25 2373.51i 0.368231 0.170362i
\(580\) 4836.14 + 4581.03i 0.346224 + 0.327960i
\(581\) 13.7058 + 83.6019i 0.000978682 + 0.00596970i
\(582\) −5390.31 1816.21i −0.383910 0.129354i
\(583\) −3643.40 + 9144.23i −0.258823 + 0.649598i
\(584\) −8839.01 + 8372.75i −0.626303 + 0.593265i
\(585\) −41.6116 31.6323i −0.00294090 0.00223562i
\(586\) 9003.52 + 1981.82i 0.634696 + 0.139707i
\(587\) 1102.45 1297.91i 0.0775181 0.0912613i −0.722036 0.691856i \(-0.756793\pi\)
0.799554 + 0.600594i \(0.205069\pi\)
\(588\) −5233.98 569.229i −0.367084 0.0399228i
\(589\) −2799.70 −0.195856
\(590\) −367.471 + 3359.19i −0.0256416 + 0.234400i
\(591\) 1492.58 0.103886
\(592\) 1174.64 + 127.750i 0.0815497 + 0.00886906i
\(593\) 10484.0 12342.7i 0.726011 0.854726i −0.268067 0.963400i \(-0.586385\pi\)
0.994077 + 0.108674i \(0.0346606\pi\)
\(594\) 1070.09 + 235.545i 0.0739166 + 0.0162703i
\(595\) −96.1489 73.0905i −0.00662474 0.00503600i
\(596\) 242.028 229.261i 0.0166340 0.0157565i
\(597\) −1291.98 + 3242.64i −0.0885719 + 0.222299i
\(598\) −107.264 36.1416i −0.00733507 0.00247147i
\(599\) 4004.96 + 24429.2i 0.273186 + 1.66636i 0.665401 + 0.746486i \(0.268261\pi\)
−0.392215 + 0.919874i \(0.628291\pi\)
\(600\) −5127.87 4857.38i −0.348907 0.330503i
\(601\) −20964.7 + 9699.32i −1.42291 + 0.658309i −0.972155 0.234338i \(-0.924708\pi\)
−0.450756 + 0.892647i \(0.648846\pi\)
\(602\) 123.938 94.2149i 0.00839090 0.00637859i
\(603\) 695.564 4242.75i 0.0469744 0.286531i
\(604\) 2132.10 4021.57i 0.143632 0.270919i
\(605\) −3258.47 + 717.244i −0.218968 + 0.0481986i
\(606\) −7952.71 3679.32i −0.533097 0.246637i
\(607\) 3669.73 + 9210.32i 0.245387 + 0.615874i 0.999148 0.0412746i \(-0.0131418\pi\)
−0.753761 + 0.657148i \(0.771763\pi\)
\(608\) 180.852 + 3335.62i 0.0120634 + 0.222495i
\(609\) 105.357 + 155.390i 0.00701031 + 0.0103394i
\(610\) −1965.38 2313.82i −0.130452 0.153580i
\(611\) −216.995 409.297i −0.0143677 0.0271004i
\(612\) 5685.23 1915.58i 0.375510 0.126524i
\(613\) 2.08218 38.4036i 0.000137192 0.00253036i −0.998464 0.0554040i \(-0.982355\pi\)
0.998601 + 0.0528737i \(0.0168381\pi\)
\(614\) −13616.7 + 8192.91i −0.894994 + 0.538500i
\(615\) −1518.77 5470.13i −0.0995820 0.358662i
\(616\) 30.0652 108.285i 0.00196650 0.00708267i
\(617\) 4434.07 + 2667.89i 0.289317 + 0.174076i 0.652812 0.757520i \(-0.273589\pi\)
−0.363495 + 0.931596i \(0.618417\pi\)
\(618\) 361.025 532.472i 0.0234993 0.0346588i
\(619\) −7262.01 + 789.791i −0.471543 + 0.0512833i −0.340806 0.940134i \(-0.610700\pi\)
−0.130737 + 0.991417i \(0.541734\pi\)
\(620\) −3435.35 + 373.617i −0.222527 + 0.0242013i
\(621\) 763.808 1126.53i 0.0493568 0.0727958i
\(622\) 1991.11 + 1198.01i 0.128354 + 0.0772279i
\(623\) 53.4807 192.620i 0.00343926 0.0123871i
\(624\) −3.31362 11.9346i −0.000212582 0.000765651i
\(625\) −7509.94 + 4518.58i −0.480636 + 0.289189i
\(626\) −241.293 + 4450.39i −0.0154058 + 0.284143i
\(627\) −1237.17 + 416.852i −0.0788005 + 0.0265510i
\(628\) −6156.97 11613.3i −0.391226 0.737931i
\(629\) −31916.9 37575.5i −2.02323 2.38193i
\(630\) 7.95085 + 11.7266i 0.000502808 + 0.000741587i
\(631\) −1202.98 22187.7i −0.0758954 1.39981i −0.750130 0.661291i \(-0.770009\pi\)
0.674234 0.738518i \(-0.264474\pi\)
\(632\) 7419.41 + 18621.3i 0.466975 + 1.17202i
\(633\) 12932.7 + 5983.31i 0.812052 + 0.375695i
\(634\) −5054.15 + 1112.50i −0.316602 + 0.0696895i
\(635\) 5236.52 9877.12i 0.327252 0.617263i
\(636\) 1022.82 6238.95i 0.0637698 0.388978i
\(637\) 361.062 274.473i 0.0224581 0.0170722i
\(638\) 10917.6 5051.01i 0.677478 0.313435i
\(639\) −886.395 839.638i −0.0548752 0.0519805i
\(640\) 697.178 + 4252.60i 0.0430599 + 0.262654i
\(641\) −7938.33 2674.73i −0.489150 0.164814i 0.0639093 0.997956i \(-0.479643\pi\)
−0.553059 + 0.833142i \(0.686540\pi\)
\(642\) 1208.80 3033.86i 0.0743107 0.186506i
\(643\) 16144.8 15293.2i 0.990185 0.937953i −0.00789014 0.999969i \(-0.502512\pi\)
0.998075 + 0.0620158i \(0.0197529\pi\)
\(644\) −43.3537 32.9566i −0.00265275 0.00201657i
\(645\) −5588.27 1230.07i −0.341144 0.0750915i
\(646\) 2607.03 3069.24i 0.158781 0.186931i
\(647\) −9826.69 1068.72i −0.597105 0.0649391i −0.195424 0.980719i \(-0.562608\pi\)
−0.401681 + 0.915780i \(0.631574\pi\)
\(648\) −1804.00 −0.109364
\(649\) −9566.76 5079.68i −0.578626 0.307234i
\(650\) 237.369 0.0143237
\(651\) −96.8193 10.5297i −0.00582895 0.000633937i
\(652\) −3559.33 + 4190.37i −0.213795 + 0.251698i
\(653\) −17486.6 3849.10i −1.04794 0.230669i −0.342559 0.939496i \(-0.611294\pi\)
−0.705382 + 0.708827i \(0.749225\pi\)
\(654\) 7374.72 + 5606.11i 0.440939 + 0.335193i
\(655\) 6801.86 6443.06i 0.405757 0.384353i
\(656\) 497.932 1249.72i 0.0296357 0.0743799i
\(657\) 4662.41 + 1570.95i 0.276861 + 0.0932854i
\(658\) 20.3147 + 123.914i 0.00120357 + 0.00734146i
\(659\) 5615.48 + 5319.27i 0.331940 + 0.314430i 0.835458 0.549555i \(-0.185203\pi\)
−0.503518 + 0.863985i \(0.667961\pi\)
\(660\) −1462.44 + 676.595i −0.0862503 + 0.0399037i
\(661\) 8822.62 6706.78i 0.519153 0.394650i −0.312524 0.949910i \(-0.601174\pi\)
0.831677 + 0.555260i \(0.187381\pi\)
\(662\) 832.609 5078.69i 0.0488826 0.298171i
\(663\) −242.079 + 456.609i −0.0141803 + 0.0267470i
\(664\) −8728.30 + 1921.24i −0.510126 + 0.112287i
\(665\) −15.3205 7.08802i −0.000893389 0.000413326i
\(666\) 2140.65 + 5372.63i 0.124547 + 0.312590i
\(667\) −808.972 14920.6i −0.0469618 0.866160i
\(668\) −4180.51 6165.79i −0.242139 0.357128i
\(669\) −2625.89 3091.43i −0.151753 0.178657i
\(670\) −1668.51 3147.15i −0.0962093 0.181470i
\(671\) 9221.72 3107.16i 0.530552 0.178764i
\(672\) −6.29112 + 116.033i −0.000361138 + 0.00666081i
\(673\) 9529.59 5733.76i 0.545823 0.328411i −0.215793 0.976439i \(-0.569234\pi\)
0.761616 + 0.648028i \(0.224406\pi\)
\(674\) −3605.87 12987.2i −0.206073 0.742207i
\(675\) −763.596 + 2750.23i −0.0435420 + 0.156824i
\(676\) −9625.40 5791.41i −0.547644 0.329507i
\(677\) 13242.1 19530.6i 0.751748 1.10875i −0.238731 0.971086i \(-0.576731\pi\)
0.990480 0.137660i \(-0.0439582\pi\)
\(678\) 5791.18 629.829i 0.328037 0.0356761i
\(679\) 234.369 25.4891i 0.0132463 0.00144062i
\(680\) 7150.17 10545.7i 0.403230 0.594720i
\(681\) −2418.57 1455.21i −0.136094 0.0818849i
\(682\) −1669.45 + 6012.81i −0.0937338 + 0.337599i
\(683\) −3716.75 13386.5i −0.208225 0.749958i −0.991704 0.128540i \(-0.958971\pi\)
0.783479 0.621418i \(-0.213443\pi\)
\(684\) 718.484 432.298i 0.0401636 0.0241657i
\(685\) 239.113 4410.17i 0.0133373 0.245991i
\(686\) −233.014 + 78.5114i −0.0129687 + 0.00436965i
\(687\) 4301.63 + 8113.74i 0.238890 + 0.450595i
\(688\) −877.805 1033.43i −0.0486424 0.0572663i
\(689\) 305.641 + 450.787i 0.0168998 + 0.0249254i
\(690\) −61.0497 1126.00i −0.00336829 0.0621245i
\(691\) −6743.37 16924.6i −0.371245 0.931754i −0.989336 0.145648i \(-0.953473\pi\)
0.618092 0.786106i \(-0.287906\pi\)
\(692\) −2312.08 1069.68i −0.127012 0.0587618i
\(693\) −44.3518 + 9.76256i −0.00243115 + 0.000535136i
\(694\) −4285.04 + 8082.45i −0.234378 + 0.442083i
\(695\) 281.567 1717.48i 0.0153676 0.0937380i
\(696\) −15767.0 + 11985.7i −0.858685 + 0.652756i
\(697\) −50943.4 + 23568.9i −2.76846 + 1.28083i
\(698\) −6909.34 6544.87i −0.374674 0.354910i
\(699\) −2484.68 15155.9i −0.134448 0.820097i
\(700\) 108.225 + 36.4654i 0.00584362 + 0.00196894i
\(701\) 283.023 710.334i 0.0152491 0.0382724i −0.921155 0.389196i \(-0.872753\pi\)
0.936404 + 0.350923i \(0.114132\pi\)
\(702\) 44.0141 41.6923i 0.00236639 0.00224156i
\(703\) −5485.68 4170.11i −0.294305 0.223725i
\(704\) 6688.63 + 1472.28i 0.358079 + 0.0788191i
\(705\) 2987.84 3517.55i 0.159615 0.187913i
\(706\) −11392.8 1239.04i −0.607329 0.0660510i
\(707\) 363.180 0.0193193
\(708\) 6702.30 + 1865.42i 0.355774 + 0.0990210i
\(709\) 15591.6 0.825889 0.412945 0.910756i \(-0.364500\pi\)
0.412945 + 0.910756i \(0.364500\pi\)
\(710\) −1005.63 109.369i −0.0531557 0.00578103i
\(711\) 5243.97 6173.68i 0.276602 0.325641i
\(712\) 20595.9 + 4533.51i 1.08408 + 0.238624i
\(713\) 6170.88 + 4690.98i 0.324125 + 0.246394i
\(714\) 101.700 96.3355i 0.00533058 0.00504939i
\(715\) 51.3797 128.953i 0.00268740 0.00674486i
\(716\) 5868.81 + 1977.43i 0.306324 + 0.103212i
\(717\) 746.725 + 4554.82i 0.0388939 + 0.237243i
\(718\) 10425.3 + 9875.33i 0.541876 + 0.513292i
\(719\) 15882.9 7348.21i 0.823828 0.381143i 0.0377627 0.999287i \(-0.487977\pi\)
0.786065 + 0.618143i \(0.212115\pi\)
\(720\) 98.2347 74.6760i 0.00508471 0.00386529i
\(721\) −4.31369 + 26.3123i −0.000222816 + 0.00135912i
\(722\) −5191.40 + 9792.02i −0.267595 + 0.504739i
\(723\) −1267.74 + 279.050i −0.0652112 + 0.0143541i
\(724\) 8470.89 + 3919.05i 0.434831 + 0.201174i
\(725\) 11598.6 + 29110.3i 0.594153 + 1.49121i
\(726\) −209.510 3864.18i −0.0107103 0.197539i
\(727\) −16485.4 24314.2i −0.841004 1.24039i −0.968615 0.248564i \(-0.920041\pi\)
0.127611 0.991824i \(-0.459269\pi\)
\(728\) −4.02549 4.73918i −0.000204938 0.000241271i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) 3862.85 1301.54i 0.195850 0.0659895i
\(731\) −3062.97 + 56493.2i −0.154977 + 2.85838i
\(732\) −5355.48 + 3222.29i −0.270416 + 0.162704i
\(733\) −7778.04 28014.0i −0.391935 1.41162i −0.851909 0.523690i \(-0.824555\pi\)
0.459974 0.887933i \(-0.347859\pi\)
\(734\) −98.5510 + 354.949i −0.00495583 + 0.0178493i
\(735\) 3871.64 + 2329.49i 0.194296 + 0.116904i
\(736\) 5190.32 7655.15i 0.259943 0.383387i
\(737\) 11350.9 1234.49i 0.567322 0.0616999i
\(738\) 6546.02 711.922i 0.326507 0.0355098i
\(739\) −16037.1 + 23653.0i −0.798289 + 1.17739i 0.182670 + 0.983174i \(0.441526\pi\)
−0.980959 + 0.194214i \(0.937784\pi\)
\(740\) −7287.67 4384.84i −0.362027 0.217824i
\(741\) −19.3247 + 69.6012i −0.000958042 + 0.00345056i
\(742\) −39.4938 142.244i −0.00195399 0.00703765i
\(743\) 30944.0 18618.4i 1.52790 0.919304i 0.530461 0.847709i \(-0.322019\pi\)
0.997434 0.0715947i \(-0.0228088\pi\)
\(744\) 556.228 10259.0i 0.0274090 0.505530i
\(745\) −271.133 + 91.3552i −0.0133336 + 0.00449261i
\(746\) −5241.98 9887.43i −0.257269 0.485261i
\(747\) 2338.07 + 2752.59i 0.114519 + 0.134822i
\(748\) 8940.95 + 13186.9i 0.437050 + 0.644600i
\(749\) 7.32805 + 135.158i 0.000357492 + 0.00659354i
\(750\) 1910.28 + 4794.45i 0.0930050 + 0.233425i
\(751\) −32722.8 15139.2i −1.58998 0.735602i −0.592432 0.805621i \(-0.701832\pi\)
−0.997546 + 0.0700187i \(0.977694\pi\)
\(752\) 1068.08 235.101i 0.0517935 0.0114006i
\(753\) 1534.80 2894.94i 0.0742780 0.140103i
\(754\) 107.680 656.819i 0.00520090 0.0317241i
\(755\) −3109.91 + 2364.09i −0.149909 + 0.113958i
\(756\) 26.4725 12.2475i 0.00127354 0.000589203i
\(757\) −149.229 141.357i −0.00716487 0.00678692i 0.684109 0.729380i \(-0.260191\pi\)
−0.691274 + 0.722593i \(0.742950\pi\)
\(758\) 808.610 + 4932.30i 0.0387468 + 0.236345i
\(759\) 3425.33 + 1154.13i 0.163810 + 0.0551940i
\(760\) 659.148 1654.34i 0.0314603 0.0789593i
\(761\) 2483.62 2352.61i 0.118306 0.112066i −0.626260 0.779614i \(-0.715415\pi\)
0.744566 + 0.667549i \(0.232656\pi\)
\(762\) 10322.6 + 7847.03i 0.490746 + 0.373055i
\(763\) −374.970 82.5371i −0.0177914 0.00391618i
\(764\) 12151.9 14306.4i 0.575447 0.677469i
\(765\) −5118.55 556.675i −0.241910 0.0263093i
\(766\) −19351.1 −0.912772
\(767\) −529.683 + 280.394i −0.0249358 + 0.0132000i
\(768\) −11875.3 −0.557962
\(769\) −2107.94 229.253i −0.0988483 0.0107504i 0.0585611 0.998284i \(-0.481349\pi\)
−0.157409 + 0.987533i \(0.550314\pi\)
\(770\) −24.3582 + 28.6767i −0.00114001 + 0.00134213i