Properties

Label 576.2.bm.a.205.94
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 205.94
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.94

$q$-expansion

\(f(q)\) \(=\) \(q+(1.41400 - 0.0248533i) q^{2} +(-1.33031 + 1.10917i) q^{3} +(1.99876 - 0.0702848i) q^{4} +(0.404828 + 0.461618i) q^{5} +(-1.85349 + 1.60143i) q^{6} +(2.92960 + 0.385690i) q^{7} +(2.82450 - 0.149058i) q^{8} +(0.539468 - 2.95110i) q^{9} +O(q^{10})\) \(q+(1.41400 - 0.0248533i) q^{2} +(-1.33031 + 1.10917i) q^{3} +(1.99876 - 0.0702848i) q^{4} +(0.404828 + 0.461618i) q^{5} +(-1.85349 + 1.60143i) q^{6} +(2.92960 + 0.385690i) q^{7} +(2.82450 - 0.149058i) q^{8} +(0.539468 - 2.95110i) q^{9} +(0.583897 + 0.642664i) q^{10} +(-1.36139 - 2.76063i) q^{11} +(-2.58103 + 2.31048i) q^{12} +(1.93357 + 5.69610i) q^{13} +(4.15203 + 0.472553i) q^{14} +(-1.05056 - 0.165072i) q^{15} +(3.99012 - 0.280965i) q^{16} +(-3.43323 - 3.43323i) q^{17} +(0.689461 - 4.18624i) q^{18} +(-0.644204 + 3.23863i) q^{19} +(0.841600 + 0.894212i) q^{20} +(-4.32509 + 2.73635i) q^{21} +(-1.99361 - 3.86968i) q^{22} +(0.364355 + 2.76755i) q^{23} +(-3.59213 + 3.33115i) q^{24} +(0.603426 - 4.58347i) q^{25} +(2.87562 + 8.00620i) q^{26} +(2.55562 + 4.52425i) q^{27} +(5.88270 + 0.564996i) q^{28} +(10.5801 - 0.693457i) q^{29} +(-1.48959 - 0.207301i) q^{30} +(-7.52420 + 4.34410i) q^{31} +(5.63503 - 0.496451i) q^{32} +(4.87309 + 2.16248i) q^{33} +(-4.93990 - 4.76925i) q^{34} +(1.00794 + 1.50849i) q^{35} +(0.870853 - 5.93646i) q^{36} +(0.774146 + 3.89190i) q^{37} +(-0.830411 + 4.59542i) q^{38} +(-8.89021 - 5.43294i) q^{39} +(1.21224 + 1.24349i) q^{40} +(-0.251071 - 1.90707i) q^{41} +(-6.04765 + 3.97668i) q^{42} +(-3.49148 + 1.72181i) q^{43} +(-2.91513 - 5.42216i) q^{44} +(1.58067 - 0.945658i) q^{45} +(0.583980 + 3.90425i) q^{46} +(-4.57068 + 1.22471i) q^{47} +(-4.99647 + 4.79951i) q^{48} +(1.67234 + 0.448102i) q^{49} +(0.739327 - 6.49601i) q^{50} +(8.37533 + 0.759225i) q^{51} +(4.26509 + 11.2493i) q^{52} +(1.03232 - 1.54497i) q^{53} +(3.72607 + 6.33375i) q^{54} +(0.723226 - 1.74602i) q^{55} +(8.33214 + 0.652698i) q^{56} +(-2.73521 - 5.02293i) q^{57} +(14.9430 - 1.24350i) q^{58} +(-4.64466 - 5.29622i) q^{59} +(-2.11143 - 0.256101i) q^{60} +(-0.739080 - 11.2762i) q^{61} +(-10.5312 + 6.32953i) q^{62} +(2.71864 - 8.43748i) q^{63} +(7.95556 - 0.842028i) q^{64} +(-1.84666 + 3.19851i) q^{65} +(6.94427 + 2.93663i) q^{66} +(-9.87922 - 4.87189i) q^{67} +(-7.10353 - 6.62092i) q^{68} +(-3.55441 - 3.27758i) q^{69} +(1.46272 + 2.10795i) q^{70} +(-3.40316 - 8.21597i) q^{71} +(1.08384 - 8.41578i) q^{72} +(0.900694 - 2.17447i) q^{73} +(1.19137 + 5.48388i) q^{74} +(4.28112 + 6.76676i) q^{75} +(-1.05999 + 6.51854i) q^{76} +(-2.92359 - 8.61262i) q^{77} +(-12.7057 - 7.46120i) q^{78} +(-2.44995 - 9.14335i) q^{79} +(1.74501 + 1.72817i) q^{80} +(-8.41795 - 3.18405i) q^{81} +(-0.402410 - 2.69035i) q^{82} +(4.59024 + 4.02553i) q^{83} +(-8.45251 + 5.77331i) q^{84} +(0.194973 - 2.97471i) q^{85} +(-4.89414 + 2.52140i) q^{86} +(-13.3057 + 12.6577i) q^{87} +(-4.25674 - 7.59446i) q^{88} +(12.2228 - 5.06285i) q^{89} +(2.21156 - 1.37644i) q^{90} +(3.46765 + 17.4331i) q^{91} +(0.922778 + 5.50608i) q^{92} +(5.19118 - 14.1247i) q^{93} +(-6.43247 + 1.84533i) q^{94} +(-1.75580 + 1.01371i) q^{95} +(-6.94570 + 6.91066i) q^{96} +(-7.83449 - 4.52325i) q^{97} +(2.37581 + 0.592050i) q^{98} +(-8.88131 + 2.52833i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.41400 0.0248533i 0.999846 0.0175739i
\(3\) −1.33031 + 1.10917i −0.768057 + 0.640382i
\(4\) 1.99876 0.0702848i 0.999382 0.0351424i
\(5\) 0.404828 + 0.461618i 0.181044 + 0.206442i 0.835243 0.549881i \(-0.185327\pi\)
−0.654198 + 0.756323i \(0.726994\pi\)
\(6\) −1.85349 + 1.60143i −0.756684 + 0.653780i
\(7\) 2.92960 + 0.385690i 1.10729 + 0.145777i 0.661922 0.749573i \(-0.269741\pi\)
0.445364 + 0.895350i \(0.353074\pi\)
\(8\) 2.82450 0.149058i 0.998610 0.0527000i
\(9\) 0.539468 2.95110i 0.179823 0.983699i
\(10\) 0.583897 + 0.642664i 0.184645 + 0.203228i
\(11\) −1.36139 2.76063i −0.410475 0.832361i −0.999702 0.0243935i \(-0.992235\pi\)
0.589228 0.807967i \(-0.299432\pi\)
\(12\) −2.58103 + 2.31048i −0.745078 + 0.666977i
\(13\) 1.93357 + 5.69610i 0.536275 + 1.57981i 0.790367 + 0.612634i \(0.209890\pi\)
−0.254092 + 0.967180i \(0.581777\pi\)
\(14\) 4.15203 + 0.472553i 1.10968 + 0.126295i
\(15\) −1.05056 0.165072i −0.271254 0.0426214i
\(16\) 3.99012 0.280965i 0.997530 0.0702413i
\(17\) −3.43323 3.43323i −0.832681 0.832681i 0.155201 0.987883i \(-0.450397\pi\)
−0.987883 + 0.155201i \(0.950397\pi\)
\(18\) 0.689461 4.18624i 0.162508 0.986707i
\(19\) −0.644204 + 3.23863i −0.147791 + 0.742993i 0.833811 + 0.552051i \(0.186154\pi\)
−0.981601 + 0.190943i \(0.938846\pi\)
\(20\) 0.841600 + 0.894212i 0.188188 + 0.199952i
\(21\) −4.32509 + 2.73635i −0.943811 + 0.597121i
\(22\) −1.99361 3.86968i −0.425039 0.825018i
\(23\) 0.364355 + 2.76755i 0.0759734 + 0.577075i 0.986517 + 0.163661i \(0.0523304\pi\)
−0.910543 + 0.413414i \(0.864336\pi\)
\(24\) −3.59213 + 3.33115i −0.733241 + 0.679968i
\(25\) 0.603426 4.58347i 0.120685 0.916695i
\(26\) 2.87562 + 8.00620i 0.563955 + 1.57015i
\(27\) 2.55562 + 4.52425i 0.491829 + 0.870692i
\(28\) 5.88270 + 0.564996i 1.11172 + 0.106774i
\(29\) 10.5801 0.693457i 1.96468 0.128772i 0.970849 0.239692i \(-0.0770466\pi\)
0.993829 + 0.110920i \(0.0353799\pi\)
\(30\) −1.48959 0.207301i −0.271961 0.0378478i
\(31\) −7.52420 + 4.34410i −1.35139 + 0.780223i −0.988444 0.151589i \(-0.951561\pi\)
−0.362942 + 0.931812i \(0.618228\pi\)
\(32\) 5.63503 0.496451i 0.996142 0.0877610i
\(33\) 4.87309 + 2.16248i 0.848296 + 0.376440i
\(34\) −4.93990 4.76925i −0.847186 0.817919i
\(35\) 1.00794 + 1.50849i 0.170374 + 0.254982i
\(36\) 0.870853 5.93646i 0.145142 0.989411i
\(37\) 0.774146 + 3.89190i 0.127269 + 0.639824i 0.990779 + 0.135492i \(0.0432614\pi\)
−0.863510 + 0.504332i \(0.831739\pi\)
\(38\) −0.830411 + 4.59542i −0.134710 + 0.745476i
\(39\) −8.89021 5.43294i −1.42357 0.869967i
\(40\) 1.21224 + 1.24349i 0.191672 + 0.196614i
\(41\) −0.251071 1.90707i −0.0392106 0.297834i −0.999803 0.0198718i \(-0.993674\pi\)
0.960592 0.277963i \(-0.0896591\pi\)
\(42\) −6.04765 + 3.97668i −0.933172 + 0.613615i
\(43\) −3.49148 + 1.72181i −0.532446 + 0.262573i −0.688577 0.725163i \(-0.741764\pi\)
0.156131 + 0.987736i \(0.450098\pi\)
\(44\) −2.91513 5.42216i −0.439472 0.817421i
\(45\) 1.58067 0.945658i 0.235632 0.140970i
\(46\) 0.583980 + 3.90425i 0.0861031 + 0.575651i
\(47\) −4.57068 + 1.22471i −0.666702 + 0.178642i −0.576269 0.817260i \(-0.695492\pi\)
−0.0904330 + 0.995903i \(0.528825\pi\)
\(48\) −4.99647 + 4.79951i −0.721179 + 0.692749i
\(49\) 1.67234 + 0.448102i 0.238905 + 0.0640145i
\(50\) 0.739327 6.49601i 0.104557 0.918674i
\(51\) 8.37533 + 0.759225i 1.17278 + 0.106313i
\(52\) 4.26509 + 11.2493i 0.591462 + 1.55999i
\(53\) 1.03232 1.54497i 0.141800 0.212218i −0.753771 0.657137i \(-0.771767\pi\)
0.895571 + 0.444918i \(0.146767\pi\)
\(54\) 3.72607 + 6.33375i 0.507054 + 0.861914i
\(55\) 0.723226 1.74602i 0.0975197 0.235433i
\(56\) 8.33214 + 0.652698i 1.11343 + 0.0872204i
\(57\) −2.73521 5.02293i −0.362288 0.665303i
\(58\) 14.9430 1.24350i 1.96211 0.163279i
\(59\) −4.64466 5.29622i −0.604684 0.689510i 0.365795 0.930695i \(-0.380797\pi\)
−0.970479 + 0.241186i \(0.922464\pi\)
\(60\) −2.11143 0.256101i −0.272584 0.0330625i
\(61\) −0.739080 11.2762i −0.0946295 1.44377i −0.736232 0.676729i \(-0.763397\pi\)
0.641602 0.767037i \(-0.278270\pi\)
\(62\) −10.5312 + 6.32953i −1.33747 + 0.803852i
\(63\) 2.71864 8.43748i 0.342516 1.06302i
\(64\) 7.95556 0.842028i 0.994445 0.105254i
\(65\) −1.84666 + 3.19851i −0.229050 + 0.396726i
\(66\) 6.94427 + 2.93663i 0.854781 + 0.361474i
\(67\) −9.87922 4.87189i −1.20694 0.595196i −0.276277 0.961078i \(-0.589101\pi\)
−0.930661 + 0.365882i \(0.880767\pi\)
\(68\) −7.10353 6.62092i −0.861430 0.802905i
\(69\) −3.55441 3.27758i −0.427900 0.394574i
\(70\) 1.46272 + 2.10795i 0.174828 + 0.251949i
\(71\) −3.40316 8.21597i −0.403881 0.975056i −0.986714 0.162464i \(-0.948056\pi\)
0.582833 0.812592i \(-0.301944\pi\)
\(72\) 1.08384 8.41578i 0.127732 0.991809i
\(73\) 0.900694 2.17447i 0.105418 0.254502i −0.862365 0.506287i \(-0.831018\pi\)
0.967783 + 0.251785i \(0.0810176\pi\)
\(74\) 1.19137 + 5.48388i 0.138493 + 0.637488i
\(75\) 4.28112 + 6.76676i 0.494341 + 0.781358i
\(76\) −1.05999 + 6.51854i −0.121589 + 0.747728i
\(77\) −2.92359 8.61262i −0.333174 0.981499i
\(78\) −12.7057 7.46120i −1.43864 0.844814i
\(79\) −2.44995 9.14335i −0.275641 1.02871i −0.955410 0.295281i \(-0.904587\pi\)
0.679769 0.733426i \(-0.262080\pi\)
\(80\) 1.74501 + 1.72817i 0.195098 + 0.193215i
\(81\) −8.41795 3.18405i −0.935328 0.353783i
\(82\) −0.402410 2.69035i −0.0444387 0.297099i
\(83\) 4.59024 + 4.02553i 0.503845 + 0.441860i 0.873152 0.487447i \(-0.162072\pi\)
−0.369308 + 0.929307i \(0.620405\pi\)
\(84\) −8.45251 + 5.77331i −0.922244 + 0.629920i
\(85\) 0.194973 2.97471i 0.0211478 0.322653i
\(86\) −4.89414 + 2.52140i −0.527749 + 0.271890i
\(87\) −13.3057 + 12.6577i −1.42652 + 1.35705i
\(88\) −4.25674 7.59446i −0.453770 0.809572i
\(89\) 12.2228 5.06285i 1.29561 0.536661i 0.374961 0.927041i \(-0.377656\pi\)
0.920654 + 0.390380i \(0.127656\pi\)
\(90\) 2.21156 1.37644i 0.233119 0.145090i
\(91\) 3.46765 + 17.4331i 0.363509 + 1.82748i
\(92\) 0.922778 + 5.50608i 0.0962062 + 0.574049i
\(93\) 5.19118 14.1247i 0.538301 1.46466i
\(94\) −6.43247 + 1.84533i −0.663459 + 0.190331i
\(95\) −1.75580 + 1.01371i −0.180141 + 0.104005i
\(96\) −6.94570 + 6.91066i −0.708893 + 0.705316i
\(97\) −7.83449 4.52325i −0.795472 0.459266i 0.0464132 0.998922i \(-0.485221\pi\)
−0.841886 + 0.539656i \(0.818554\pi\)
\(98\) 2.37581 + 0.592050i 0.239993 + 0.0598061i
\(99\) −8.88131 + 2.52833i −0.892605 + 0.254106i
\(100\) 0.883958 9.20370i 0.0883958 0.920370i
\(101\) −16.2418 5.51335i −1.61612 0.548599i −0.640479 0.767975i \(-0.721264\pi\)
−0.975640 + 0.219377i \(0.929598\pi\)
\(102\) 11.8615 + 0.865387i 1.17447 + 0.0856861i
\(103\) 9.99988 + 7.67317i 0.985317 + 0.756060i 0.969821 0.243820i \(-0.0784005\pi\)
0.0154964 + 0.999880i \(0.495067\pi\)
\(104\) 6.31040 + 15.8004i 0.618786 + 1.54936i
\(105\) −3.01406 0.888786i −0.294142 0.0867366i
\(106\) 1.42130 2.21024i 0.138048 0.214678i
\(107\) 4.65738 + 3.11196i 0.450246 + 0.300844i 0.759942 0.649991i \(-0.225227\pi\)
−0.309696 + 0.950836i \(0.600227\pi\)
\(108\) 5.42606 + 8.86329i 0.522123 + 0.852870i
\(109\) −2.40088 + 12.0700i −0.229963 + 1.15610i 0.677356 + 0.735656i \(0.263126\pi\)
−0.907318 + 0.420444i \(0.861874\pi\)
\(110\) 0.979243 2.48684i 0.0933672 0.237111i
\(111\) −5.34665 4.31878i −0.507481 0.409920i
\(112\) 11.7978 + 0.715831i 1.11479 + 0.0676396i
\(113\) −4.57961 1.22710i −0.430814 0.115436i 0.0368944 0.999319i \(-0.488253\pi\)
−0.467708 + 0.883883i \(0.654920\pi\)
\(114\) −3.99241 7.03442i −0.373924 0.658834i
\(115\) −1.13005 + 1.28858i −0.105378 + 0.120160i
\(116\) 21.0984 2.12968i 1.95894 0.197736i
\(117\) 17.8528 2.63327i 1.65050 0.243446i
\(118\) −6.69916 7.37340i −0.616708 0.678777i
\(119\) −8.73385 11.3822i −0.800631 1.04340i
\(120\) −2.99191 0.309650i −0.273123 0.0282671i
\(121\) 0.928695 1.21030i 0.0844268 0.110027i
\(122\) −1.32531 15.9261i −0.119987 1.44188i
\(123\) 2.44927 + 2.25852i 0.220844 + 0.203644i
\(124\) −14.7338 + 9.21167i −1.32313 + 0.827232i
\(125\) 4.91264 3.28252i 0.439400 0.293598i
\(126\) 3.63444 11.9981i 0.323781 1.06888i
\(127\) −9.10407 −0.807855 −0.403928 0.914791i \(-0.632355\pi\)
−0.403928 + 0.914791i \(0.632355\pi\)
\(128\) 11.2282 1.38835i 0.992442 0.122714i
\(129\) 2.73498 6.16320i 0.240802 0.542640i
\(130\) −2.53167 + 4.56857i −0.222042 + 0.400690i
\(131\) −17.7420 8.74937i −1.55012 0.764436i −0.552512 0.833505i \(-0.686331\pi\)
−0.997612 + 0.0690687i \(0.977997\pi\)
\(132\) 9.89215 + 3.97979i 0.861002 + 0.346396i
\(133\) −3.13637 + 9.23944i −0.271958 + 0.801161i
\(134\) −14.0902 6.64330i −1.21721 0.573894i
\(135\) −1.05389 + 3.01126i −0.0907042 + 0.259168i
\(136\) −10.2089 9.18541i −0.875407 0.787642i
\(137\) 2.41041 + 3.14131i 0.205935 + 0.268380i 0.884890 0.465800i \(-0.154233\pi\)
−0.678955 + 0.734180i \(0.737567\pi\)
\(138\) −5.10737 4.54615i −0.434768 0.386994i
\(139\) 12.3714 + 0.810867i 1.04933 + 0.0687769i 0.580299 0.814404i \(-0.302936\pi\)
0.469033 + 0.883180i \(0.344602\pi\)
\(140\) 2.12067 + 2.94428i 0.179229 + 0.248837i
\(141\) 4.72202 6.69892i 0.397666 0.564151i
\(142\) −5.01625 11.5328i −0.420954 0.967807i
\(143\) 13.0925 13.0925i 1.09485 1.09485i
\(144\) 1.32339 11.9268i 0.110282 0.993900i
\(145\) 4.60324 + 4.60324i 0.382278 + 0.382278i
\(146\) 1.21953 3.09707i 0.100929 0.256315i
\(147\) −2.72176 + 1.25880i −0.224487 + 0.103824i
\(148\) 1.82088 + 7.72457i 0.149675 + 0.634956i
\(149\) −0.511815 + 7.80878i −0.0419295 + 0.639720i 0.924240 + 0.381812i \(0.124700\pi\)
−0.966169 + 0.257908i \(0.916967\pi\)
\(150\) 6.22166 + 9.46177i 0.507997 + 0.772550i
\(151\) 14.2936 10.9679i 1.16320 0.892553i 0.167561 0.985862i \(-0.446411\pi\)
0.995637 + 0.0933087i \(0.0297443\pi\)
\(152\) −1.33681 + 9.24353i −0.108429 + 0.749749i
\(153\) −11.9839 + 8.27969i −0.968843 + 0.669373i
\(154\) −4.34799 12.1055i −0.350371 0.975492i
\(155\) −5.05132 1.71469i −0.405731 0.137727i
\(156\) −18.1513 10.2343i −1.45327 0.819401i
\(157\) −1.81713 + 3.68477i −0.145023 + 0.294077i −0.957249 0.289266i \(-0.906589\pi\)
0.812226 + 0.583343i \(0.198256\pi\)
\(158\) −3.69146 12.8678i −0.293677 1.02370i
\(159\) 0.340337 + 3.20032i 0.0269905 + 0.253802i
\(160\) 2.51039 + 2.40025i 0.198463 + 0.189756i
\(161\) 8.24836i 0.650062i
\(162\) −11.9821 4.29301i −0.941400 0.337291i
\(163\) 9.00266 + 13.4734i 0.705143 + 1.05532i 0.995157 + 0.0982986i \(0.0313400\pi\)
−0.290014 + 0.957022i \(0.593660\pi\)
\(164\) −0.635869 3.79414i −0.0496530 0.296272i
\(165\) 0.974523 + 3.12494i 0.0758665 + 0.243276i
\(166\) 6.59063 + 5.57800i 0.511532 + 0.432937i
\(167\) 4.57809 + 3.51289i 0.354263 + 0.271836i 0.770526 0.637409i \(-0.219994\pi\)
−0.416263 + 0.909244i \(0.636660\pi\)
\(168\) −11.8083 + 8.37350i −0.911032 + 0.646030i
\(169\) −18.3933 + 14.1137i −1.41487 + 1.08567i
\(170\) 0.201759 4.21107i 0.0154742 0.322974i
\(171\) 9.20999 + 3.64825i 0.704306 + 0.278988i
\(172\) −6.85763 + 3.68689i −0.522889 + 0.281122i
\(173\) 0.475358 + 0.416878i 0.0361408 + 0.0316946i 0.677226 0.735775i \(-0.263182\pi\)
−0.641085 + 0.767470i \(0.721515\pi\)
\(174\) −18.4996 + 18.2286i −1.40245 + 1.38191i
\(175\) 3.53560 13.1950i 0.267266 0.997450i
\(176\) −6.20775 10.6327i −0.467927 0.801472i
\(177\) 12.0533 + 1.89390i 0.905981 + 0.142354i
\(178\) 17.1572 7.46262i 1.28598 0.559347i
\(179\) −23.8332 4.74071i −1.78137 0.354337i −0.809008 0.587798i \(-0.799995\pi\)
−0.972366 + 0.233461i \(0.924995\pi\)
\(180\) 3.09292 2.00124i 0.230533 0.149164i
\(181\) −1.61986 + 2.42429i −0.120403 + 0.180196i −0.886775 0.462201i \(-0.847060\pi\)
0.766372 + 0.642397i \(0.222060\pi\)
\(182\) 5.33651 + 24.5641i 0.395569 + 1.82081i
\(183\) 13.4904 + 14.1811i 0.997243 + 1.04830i
\(184\) 1.44165 + 7.76264i 0.106280 + 0.572269i
\(185\) −1.48317 + 1.93291i −0.109045 + 0.142110i
\(186\) 6.98927 20.1012i 0.512478 1.47389i
\(187\) −4.80391 + 14.1519i −0.351296 + 1.03489i
\(188\) −9.04963 + 2.76915i −0.660012 + 0.201961i
\(189\) 5.74199 + 14.2399i 0.417668 + 1.03580i
\(190\) −2.45750 + 1.47702i −0.178286 + 0.107154i
\(191\) 0.713406 1.23566i 0.0516203 0.0894089i −0.839061 0.544038i \(-0.816895\pi\)
0.890681 + 0.454629i \(0.150228\pi\)
\(192\) −9.64944 + 9.94426i −0.696388 + 0.717665i
\(193\) 2.31748 + 4.01400i 0.166816 + 0.288934i 0.937299 0.348527i \(-0.113318\pi\)
−0.770483 + 0.637461i \(0.779985\pi\)
\(194\) −11.1904 6.20114i −0.803421 0.445216i
\(195\) −1.09106 6.30328i −0.0781327 0.451387i
\(196\) 3.37410 + 0.778110i 0.241007 + 0.0555793i
\(197\) 11.6553 2.31838i 0.830406 0.165178i 0.238457 0.971153i \(-0.423359\pi\)
0.591949 + 0.805975i \(0.298359\pi\)
\(198\) −12.4953 + 3.79577i −0.888002 + 0.269754i
\(199\) 2.73987 + 6.61464i 0.194224 + 0.468899i 0.990749 0.135707i \(-0.0433305\pi\)
−0.796525 + 0.604606i \(0.793331\pi\)
\(200\) 1.02117 13.0360i 0.0722076 0.921781i
\(201\) 18.5462 4.47662i 1.30815 0.315757i
\(202\) −23.1029 7.39219i −1.62551 0.520112i
\(203\) 31.2630 + 2.04909i 2.19423 + 0.143818i
\(204\) 16.7937 + 0.928855i 1.17579 + 0.0650328i
\(205\) 0.778697 0.887934i 0.0543866 0.0620160i
\(206\) 14.3305 + 10.6013i 0.998452 + 0.738628i
\(207\) 8.36388 + 0.417759i 0.581330 + 0.0290363i
\(208\) 9.31556 + 22.1849i 0.645918 + 1.53824i
\(209\) 9.81767 2.63064i 0.679103 0.181965i
\(210\) −4.28396 1.18183i −0.295621 0.0815540i
\(211\) 16.6709 5.65902i 1.14768 0.389583i 0.318143 0.948043i \(-0.396941\pi\)
0.829532 + 0.558459i \(0.188607\pi\)
\(212\) 1.95477 3.16059i 0.134254 0.217071i
\(213\) 13.6402 + 7.15511i 0.934612 + 0.490260i
\(214\) 6.66285 + 4.28454i 0.455463 + 0.292885i
\(215\) −2.20826 0.914693i −0.150602 0.0623816i
\(216\) 7.89271 + 12.3978i 0.537031 + 0.843563i
\(217\) −23.7184 + 9.82448i −1.61011 + 0.666929i
\(218\) −3.09485 + 17.1266i −0.209610 + 1.15996i
\(219\) 1.21366 + 3.89175i 0.0820113 + 0.262980i
\(220\) 1.32284 3.54072i 0.0891858 0.238715i
\(221\) 12.9177 26.1944i 0.868936 1.76203i
\(222\) −7.66747 5.97385i −0.514607 0.400939i
\(223\) −0.576834 0.333035i −0.0386277 0.0223017i 0.480562 0.876961i \(-0.340433\pi\)
−0.519189 + 0.854659i \(0.673766\pi\)
\(224\) 16.6999 + 0.718966i 1.11581 + 0.0480380i
\(225\) −13.2007 4.25341i −0.880050 0.283560i
\(226\) −6.50605 1.62130i −0.432776 0.107847i
\(227\) −10.4815 + 0.686993i −0.695681 + 0.0455973i −0.409141 0.912471i \(-0.634172\pi\)
−0.286540 + 0.958068i \(0.592505\pi\)
\(228\) −5.82008 9.84741i −0.385444 0.652161i
\(229\) −15.0626 + 13.2095i −0.995364 + 0.872911i −0.991892 0.127083i \(-0.959438\pi\)
−0.00347191 + 0.999994i \(0.501105\pi\)
\(230\) −1.56586 + 1.85013i −0.103250 + 0.121994i
\(231\) 13.4422 + 8.21471i 0.884431 + 0.540489i
\(232\) 29.7801 3.53572i 1.95516 0.232131i
\(233\) −2.82076 1.16840i −0.184794 0.0765441i 0.288368 0.957520i \(-0.406887\pi\)
−0.473162 + 0.880976i \(0.656887\pi\)
\(234\) 25.1784 4.16714i 1.64596 0.272414i
\(235\) −2.41568 1.61411i −0.157582 0.105293i
\(236\) −9.65583 10.2595i −0.628541 0.667834i
\(237\) 13.4008 + 9.44610i 0.870473 + 0.613590i
\(238\) −12.6325 15.8773i −0.818844 1.02917i
\(239\) −3.78117 + 14.1115i −0.244583 + 0.912798i 0.729009 + 0.684504i \(0.239981\pi\)
−0.973592 + 0.228294i \(0.926685\pi\)
\(240\) −4.23825 0.363485i −0.273578 0.0234629i
\(241\) 2.63511 + 9.83437i 0.169743 + 0.633488i 0.997388 + 0.0722358i \(0.0230134\pi\)
−0.827645 + 0.561252i \(0.810320\pi\)
\(242\) 1.28309 1.73444i 0.0824801 0.111494i
\(243\) 14.7302 5.10119i 0.944941 0.327241i
\(244\) −2.26979 22.4865i −0.145308 1.43955i
\(245\) 0.470157 + 0.953384i 0.0300372 + 0.0609095i
\(246\) 3.51939 + 3.13267i 0.224388 + 0.199731i
\(247\) −19.6932 + 2.59266i −1.25305 + 0.164967i
\(248\) −20.6045 + 13.3914i −1.30839 + 0.850357i
\(249\) −10.5715 0.263848i −0.669940 0.0167207i
\(250\) 6.86487 4.76356i 0.434172 0.301274i
\(251\) −28.0570 + 5.58089i −1.77094 + 0.352263i −0.969365 0.245625i \(-0.921007\pi\)
−0.801580 + 0.597888i \(0.796007\pi\)
\(252\) 4.84089 17.0556i 0.304947 1.07440i
\(253\) 7.14416 4.77357i 0.449149 0.300112i
\(254\) −12.8731 + 0.226266i −0.807730 + 0.0141972i
\(255\) 3.04009 + 4.17355i 0.190378 + 0.261358i
\(256\) 15.8421 2.24217i 0.990132 0.140136i
\(257\) −6.88193 11.9199i −0.429283 0.743540i 0.567526 0.823355i \(-0.307900\pi\)
−0.996810 + 0.0798147i \(0.974567\pi\)
\(258\) 3.71407 8.78271i 0.231228 0.546788i
\(259\) 0.766878 + 11.7003i 0.0476515 + 0.727021i
\(260\) −3.46623 + 6.52285i −0.214966 + 0.404530i
\(261\) 3.66118 31.5970i 0.226621 1.95581i
\(262\) −25.3045 11.9306i −1.56332 0.737077i
\(263\) −7.62898 1.00437i −0.470423 0.0619324i −0.108412 0.994106i \(-0.534576\pi\)
−0.362011 + 0.932174i \(0.617910\pi\)
\(264\) 14.0864 + 5.38155i 0.866956 + 0.331211i
\(265\) 1.13110 0.148912i 0.0694828 0.00914758i
\(266\) −4.20518 + 13.1425i −0.257836 + 0.805817i
\(267\) −10.6446 + 20.2924i −0.651438 + 1.24187i
\(268\) −20.0886 9.04340i −1.22711 0.552414i
\(269\) 13.3666 + 2.65878i 0.814976 + 0.162109i 0.584943 0.811074i \(-0.301117\pi\)
0.230032 + 0.973183i \(0.426117\pi\)
\(270\) −1.41535 + 4.28410i −0.0861356 + 0.260722i
\(271\) 5.54143 5.54143i 0.336618 0.336618i −0.518475 0.855093i \(-0.673500\pi\)
0.855093 + 0.518475i \(0.173500\pi\)
\(272\) −14.6636 12.7344i −0.889113 0.772136i
\(273\) −23.9494 19.3452i −1.44948 1.17083i
\(274\) 3.48638 + 4.38188i 0.210620 + 0.264719i
\(275\) −13.4748 + 4.57407i −0.812559 + 0.275827i
\(276\) −7.33478 6.30129i −0.441502 0.379293i
\(277\) −20.5662 + 10.1421i −1.23570 + 0.609382i −0.938450 0.345416i \(-0.887738\pi\)
−0.297255 + 0.954798i \(0.596071\pi\)
\(278\) 17.5133 + 0.839092i 1.05038 + 0.0503254i
\(279\) 8.76079 + 24.5481i 0.524495 + 1.46966i
\(280\) 3.07179 + 4.11049i 0.183574 + 0.245649i
\(281\) −3.62681 + 27.5483i −0.216357 + 1.64340i 0.446597 + 0.894735i \(0.352636\pi\)
−0.662954 + 0.748660i \(0.730698\pi\)
\(282\) 6.51042 9.58960i 0.387690 0.571052i
\(283\) 14.9353 13.0979i 0.887810 0.778589i −0.0882477 0.996099i \(-0.528127\pi\)
0.976058 + 0.217510i \(0.0697934\pi\)
\(284\) −7.37958 16.1826i −0.437898 0.960260i
\(285\) 1.21138 3.29604i 0.0717562 0.195241i
\(286\) 18.1873 18.8381i 1.07544 1.11392i
\(287\) 5.68380i 0.335504i
\(288\) 1.57484 16.8973i 0.0927985 0.995685i
\(289\) 6.57419i 0.386717i
\(290\) 6.62336 + 6.39455i 0.388937 + 0.375501i
\(291\) 15.4394 2.67248i 0.905074 0.156663i
\(292\) 1.64744 4.40955i 0.0964093 0.258050i
\(293\) 14.0550 12.3259i 0.821104 0.720089i −0.141811 0.989894i \(-0.545293\pi\)
0.962915 + 0.269805i \(0.0869593\pi\)
\(294\) −3.81726 + 1.84758i −0.222627 + 0.107753i
\(295\) 0.564541 4.28812i 0.0328689 0.249664i
\(296\) 2.76669 + 10.8773i 0.160811 + 0.632228i
\(297\) 9.01057 13.2144i 0.522846 0.766776i
\(298\) −0.529630 + 11.0543i −0.0306806 + 0.640358i
\(299\) −15.0598 + 7.42665i −0.870928 + 0.429494i
\(300\) 9.03255 + 13.2243i 0.521495 + 0.763503i
\(301\) −10.8927 + 3.69758i −0.627847 + 0.213125i
\(302\) 19.9385 15.8638i 1.14733 0.912857i
\(303\) 27.7219 10.6805i 1.59258 0.613578i
\(304\) −1.66051 + 13.1035i −0.0952366 + 0.751539i
\(305\) 4.90608 4.90608i 0.280921 0.280921i
\(306\) −16.7394 + 12.0053i −0.956930 + 0.686296i
\(307\) 13.0589 + 2.59758i 0.745311 + 0.148252i 0.553115 0.833105i \(-0.313439\pi\)
0.192196 + 0.981357i \(0.438439\pi\)
\(308\) −6.44890 17.0091i −0.367460 0.969184i
\(309\) −21.8139 + 0.883870i −1.24095 + 0.0502816i
\(310\) −7.18515 2.29902i −0.408089 0.130576i
\(311\) 11.6336 1.53159i 0.659679 0.0868484i 0.206748 0.978394i \(-0.433712\pi\)
0.452931 + 0.891546i \(0.350379\pi\)
\(312\) −25.9202 14.0202i −1.46744 0.793735i
\(313\) −2.79382 0.367813i −0.157916 0.0207900i 0.0511536 0.998691i \(-0.483710\pi\)
−0.209070 + 0.977901i \(0.567044\pi\)
\(314\) −2.47783 + 5.25541i −0.139832 + 0.296580i
\(315\) 4.99547 2.16075i 0.281463 0.121745i
\(316\) −5.53952 18.1032i −0.311622 1.01838i
\(317\) 0.367331 + 5.60439i 0.0206314 + 0.314774i 0.995685 + 0.0928025i \(0.0295825\pi\)
−0.975053 + 0.221971i \(0.928751\pi\)
\(318\) 0.560773 + 4.51678i 0.0314466 + 0.253288i
\(319\) −16.3181 28.2637i −0.913636 1.58246i
\(320\) 3.60933 + 3.33155i 0.201768 + 0.186239i
\(321\) −9.64747 + 1.02596i −0.538469 + 0.0572633i
\(322\) 0.204999 + 11.6631i 0.0114241 + 0.649962i
\(323\) 13.3307 8.90728i 0.741739 0.495614i
\(324\) −17.0493 5.77250i −0.947183 0.320695i
\(325\) 27.2747 5.42527i 1.51293 0.300940i
\(326\) 13.0646 + 18.8276i 0.723580 + 1.04277i
\(327\) −10.1938 18.7199i −0.563721 1.03521i
\(328\) −0.993412 5.34909i −0.0548520 0.295354i
\(329\) −13.8626 + 1.82505i −0.764271 + 0.100618i
\(330\) 1.45564 + 4.39443i 0.0801301 + 0.241905i
\(331\) 11.6856 + 23.6960i 0.642298 + 1.30245i 0.937822 + 0.347116i \(0.112839\pi\)
−0.295524 + 0.955335i \(0.595494\pi\)
\(332\) 9.45775 + 7.72347i 0.519061 + 0.423881i
\(333\) 11.9030 0.185027i 0.652280 0.0101394i
\(334\) 6.56071 + 4.85344i 0.358986 + 0.265568i
\(335\) −1.75043 6.53270i −0.0956363 0.356919i
\(336\) −16.4888 + 12.1336i −0.899538 + 0.661940i
\(337\) 8.94598 33.3869i 0.487319 1.81870i −0.0820662 0.996627i \(-0.526152\pi\)
0.569385 0.822071i \(-0.307181\pi\)
\(338\) −25.6572 + 20.4138i −1.39557 + 1.11036i
\(339\) 7.45339 3.44715i 0.404813 0.187224i
\(340\) 0.180628 5.95945i 0.00979592 0.323196i
\(341\) 22.2358 + 14.8575i 1.20414 + 0.804578i
\(342\) 13.1136 + 4.92971i 0.709100 + 0.266568i
\(343\) −14.3832 5.95773i −0.776621 0.321687i
\(344\) −9.60502 + 5.38367i −0.517868 + 0.290268i
\(345\) 0.0740675 2.96763i 0.00398766 0.159772i
\(346\) 0.682515 + 0.577649i 0.0366922 + 0.0310546i
\(347\) −1.93667 + 1.69841i −0.103966 + 0.0911755i −0.709751 0.704453i \(-0.751192\pi\)
0.605785 + 0.795628i \(0.292859\pi\)
\(348\) −25.7053 + 26.2350i −1.37795 + 1.40634i
\(349\) 15.4384 1.01189i 0.826401 0.0541652i 0.353668 0.935371i \(-0.384934\pi\)
0.472733 + 0.881206i \(0.343268\pi\)
\(350\) 4.67138 18.7456i 0.249696 1.00199i
\(351\) −20.8291 + 23.3050i −1.11178 + 1.24393i
\(352\) −9.04199 14.8804i −0.481940 0.793125i
\(353\) −2.31697 1.33770i −0.123320 0.0711987i 0.437071 0.899427i \(-0.356016\pi\)
−0.560391 + 0.828228i \(0.689349\pi\)
\(354\) 17.0904 + 2.37840i 0.908343 + 0.126411i
\(355\) 2.41494 4.89701i 0.128172 0.259906i
\(356\) 24.0747 10.9785i 1.27595 0.581861i
\(357\) 24.2436 + 5.45451i 1.28311 + 0.288683i
\(358\) −33.8178 6.11101i −1.78733 0.322977i
\(359\) 1.29656 0.537051i 0.0684296 0.0283445i −0.348206 0.937418i \(-0.613209\pi\)
0.416636 + 0.909074i \(0.363209\pi\)
\(360\) 4.32364 2.90662i 0.227876 0.153192i
\(361\) 7.47997 + 3.09831i 0.393683 + 0.163069i
\(362\) −2.23022 + 3.46819i −0.117218 + 0.182284i
\(363\) 0.106976 + 2.64016i 0.00561478 + 0.138572i
\(364\) 8.15630 + 34.6009i 0.427506 + 1.81358i
\(365\) 1.36840 0.464509i 0.0716252 0.0243135i
\(366\) 19.4279 + 19.7167i 1.01551 + 1.03061i
\(367\) 7.70645 2.06494i 0.402273 0.107789i −0.0520090 0.998647i \(-0.516562\pi\)
0.454282 + 0.890858i \(0.349896\pi\)
\(368\) 2.23141 + 10.9405i 0.116320 + 0.570313i
\(369\) −5.76339 0.287870i −0.300030 0.0149859i
\(370\) −2.04916 + 2.76998i −0.106531 + 0.144005i
\(371\) 3.62016 4.12801i 0.187950 0.214315i
\(372\) 9.38321 28.5967i 0.486497 1.48267i
\(373\) −28.6847 1.88010i −1.48524 0.0973477i −0.698934 0.715187i \(-0.746342\pi\)
−0.786305 + 0.617839i \(0.788008\pi\)
\(374\) −6.44098 + 20.1300i −0.333055 + 1.04090i
\(375\) −2.89447 + 9.81575i −0.149470 + 0.506883i
\(376\) −12.7273 + 4.14048i −0.656361 + 0.213529i
\(377\) 24.4073 + 58.9246i 1.25704 + 3.03477i
\(378\) 8.47305 + 19.9925i 0.435807 + 1.02830i
\(379\) −6.66596 + 1.32594i −0.342408 + 0.0681091i −0.363299 0.931673i \(-0.618350\pi\)
0.0208913 + 0.999782i \(0.493350\pi\)
\(380\) −3.43818 + 2.14958i −0.176375 + 0.110271i
\(381\) 12.1113 10.0980i 0.620479 0.517336i
\(382\) 0.978043 1.76494i 0.0500410 0.0903023i
\(383\) −0.211567 0.366445i −0.0108106 0.0187245i 0.860570 0.509333i \(-0.170108\pi\)
−0.871380 + 0.490609i \(0.836775\pi\)
\(384\) −13.3971 + 14.3010i −0.683668 + 0.729793i
\(385\) 2.79219 4.83621i 0.142303 0.246476i
\(386\) 3.37667 + 5.61818i 0.171868 + 0.285958i
\(387\) 3.19768 + 11.2326i 0.162547 + 0.570983i
\(388\) −15.9772 8.49026i −0.811121 0.431028i
\(389\) −7.78425 + 22.9317i −0.394677 + 1.16268i 0.550137 + 0.835074i \(0.314576\pi\)
−0.944814 + 0.327607i \(0.893758\pi\)
\(390\) −1.69942 8.88569i −0.0860533 0.449945i
\(391\) 8.25074 10.7526i 0.417258 0.543781i
\(392\) 4.79031 + 1.01639i 0.241947 + 0.0513352i
\(393\) 33.3070 8.03952i 1.68011 0.405540i
\(394\) 16.4229 3.56786i 0.827375 0.179746i
\(395\) 3.22892 4.83242i 0.162465 0.243146i
\(396\) −17.5739 + 5.67775i −0.883124 + 0.285318i
\(397\) 23.8511 + 4.74428i 1.19705 + 0.238109i 0.753078 0.657931i \(-0.228568\pi\)
0.443975 + 0.896039i \(0.353568\pi\)
\(398\) 4.03856 + 9.28497i 0.202435 + 0.465414i
\(399\) −6.07579 15.7701i −0.304170 0.789494i
\(400\) 1.11994 18.4581i 0.0559972 0.922907i
\(401\) −5.78809 + 21.6015i −0.289044 + 1.07873i 0.656790 + 0.754074i \(0.271914\pi\)
−0.945834 + 0.324652i \(0.894753\pi\)
\(402\) 26.1130 6.79086i 1.30240 0.338697i
\(403\) −39.2929 34.4590i −1.95732 1.71652i
\(404\) −32.8510 9.87834i −1.63440 0.491466i
\(405\) −1.93801 5.17486i −0.0963004 0.257141i
\(406\) 44.2567 + 2.12041i 2.19642 + 0.105234i
\(407\) 9.69016 7.43552i 0.480324 0.368565i
\(408\) 23.7693 + 0.896019i 1.17675 + 0.0443595i
\(409\) 23.6121 + 18.1182i 1.16754 + 0.895888i 0.996006 0.0892893i \(-0.0284596\pi\)
0.171538 + 0.985177i \(0.445126\pi\)
\(410\) 1.07901 1.27489i 0.0532883 0.0629622i
\(411\) −6.69085 1.50536i −0.330035 0.0742539i
\(412\) 20.5267 + 14.6340i 1.01128 + 0.720967i
\(413\) −11.5643 17.3072i −0.569043 0.851633i
\(414\) 11.8369 + 0.382840i 0.581750 + 0.0188156i
\(415\) 3.74858i 0.184011i
\(416\) 13.7235 + 31.1378i 0.672851 + 1.52665i
\(417\) −17.3573 + 12.6434i −0.849990 + 0.619149i
\(418\) 13.8168 3.96371i 0.675800 0.193871i
\(419\) −11.5381 + 23.3969i −0.563672 + 1.14301i 0.409367 + 0.912370i \(0.365750\pi\)
−0.973038 + 0.230643i \(0.925917\pi\)
\(420\) −6.08687 1.56463i −0.297009 0.0763462i
\(421\) −18.0495 6.12699i −0.879680 0.298611i −0.155180 0.987886i \(-0.549596\pi\)
−0.724500 + 0.689275i \(0.757929\pi\)
\(422\) 23.4320 8.41616i 1.14065 0.409692i
\(423\) 1.14850 + 14.1492i 0.0558420 + 0.687958i
\(424\) 2.68549 4.51765i 0.130419 0.219396i
\(425\) −17.8078 + 13.6644i −0.863807 + 0.662822i
\(426\) 19.4650 + 9.77829i 0.943083 + 0.473760i
\(427\) 2.18389 33.3198i 0.105686 1.61246i
\(428\) 9.52772 + 5.89273i 0.460540 + 0.284836i
\(429\) −2.89527 + 31.9389i −0.139785 + 1.54203i
\(430\) −3.14521 1.23849i −0.151675 0.0597252i
\(431\) −5.64298 5.64298i −0.271813 0.271813i 0.558017 0.829830i \(-0.311562\pi\)
−0.829830 + 0.558017i \(0.811562\pi\)
\(432\) 11.4684 + 17.3343i 0.551772 + 0.833995i
\(433\) 0.400992 0.400992i 0.0192704 0.0192704i −0.697406 0.716676i \(-0.745662\pi\)
0.716676 + 0.697406i \(0.245662\pi\)
\(434\) −33.2935 + 14.4812i −1.59814 + 0.695122i
\(435\) −11.2295 1.01796i −0.538415 0.0488074i
\(436\) −3.95045 + 24.2939i −0.189192 + 1.16347i
\(437\) −9.19781 0.602856i −0.439991 0.0288385i
\(438\) 1.81283 + 5.47275i 0.0866202 + 0.261498i
\(439\) 6.42728 + 8.37620i 0.306758 + 0.399774i 0.921138 0.389236i \(-0.127261\pi\)
−0.614381 + 0.789010i \(0.710594\pi\)
\(440\) 1.78249 5.03943i 0.0849769 0.240246i
\(441\) 2.22456 4.69349i 0.105932 0.223500i
\(442\) 17.6145 37.3598i 0.837836 1.77703i
\(443\) 0.297304 0.875829i 0.0141253 0.0416119i −0.939639 0.342168i \(-0.888839\pi\)
0.953764 + 0.300556i \(0.0971722\pi\)
\(444\) −10.9902 8.25644i −0.521573 0.391833i
\(445\) 7.28523 + 3.59268i 0.345353 + 0.170309i
\(446\) −0.823918 0.456574i −0.0390136 0.0216194i
\(447\) −7.98042 10.9558i −0.377461 0.518192i
\(448\) 23.6314 + 0.601569i 1.11648 + 0.0284215i
\(449\) 0.497617 0.0234840 0.0117420 0.999931i \(-0.496262\pi\)
0.0117420 + 0.999931i \(0.496262\pi\)
\(450\) −18.7715 5.68621i −0.884897 0.268051i
\(451\) −4.92291 + 3.28938i −0.231811 + 0.154891i
\(452\) −9.23981 2.13081i −0.434604 0.100225i
\(453\) −6.84971 + 30.4448i −0.321827 + 1.43042i
\(454\) −14.8037 + 1.23190i −0.694772 + 0.0578161i
\(455\) −6.64361 + 8.65812i −0.311457 + 0.405899i
\(456\) −8.47431 13.7795i −0.396846 0.645286i
\(457\) 3.87588 + 5.05114i 0.181306 + 0.236282i 0.875161 0.483833i \(-0.160756\pi\)
−0.693855 + 0.720115i \(0.744089\pi\)
\(458\) −20.9701 + 19.0526i −0.979870 + 0.890268i
\(459\) 6.75877 24.3068i 0.315472 1.13455i
\(460\) −2.16814 + 2.65498i −0.101090 + 0.123789i
\(461\) 1.63776 1.86751i 0.0762783 0.0869787i −0.712442 0.701731i \(-0.752411\pi\)
0.788720 + 0.614752i \(0.210744\pi\)
\(462\) 19.2113 + 11.2815i 0.893792 + 0.524862i
\(463\) 13.0996 + 3.51003i 0.608790 + 0.163125i 0.550027 0.835147i \(-0.314618\pi\)
0.0587635 + 0.998272i \(0.481284\pi\)
\(464\) 42.0211 5.73962i 1.95078 0.266455i
\(465\) 8.62172 3.32171i 0.399823 0.154041i
\(466\) −4.01757 1.58200i −0.186111 0.0732848i
\(467\) −0.142233 + 0.715056i −0.00658178 + 0.0330888i −0.983937 0.178518i \(-0.942870\pi\)
0.977355 + 0.211607i \(0.0678697\pi\)
\(468\) 35.4985 6.51808i 1.64092 0.301298i
\(469\) −27.0631 18.0830i −1.24966 0.834996i
\(470\) −3.45588 2.22230i −0.159408 0.102507i
\(471\) −1.66970 6.91741i −0.0769358 0.318738i
\(472\) −13.9083 14.2668i −0.640181 0.656685i
\(473\) 9.50654 + 7.29462i 0.437111 + 0.335407i
\(474\) 19.1834 + 13.0237i 0.881122 + 0.598197i
\(475\) 14.4555 + 4.90697i 0.663262 + 0.225147i
\(476\) −18.2569 22.1364i −0.836804 1.01462i
\(477\) −4.00246 3.87994i −0.183260 0.177650i
\(478\) −4.99584 + 20.0476i −0.228504 + 0.916955i
\(479\) −3.32610 1.92033i −0.151974 0.0877420i 0.422085 0.906556i \(-0.361298\pi\)
−0.574058 + 0.818814i \(0.694632\pi\)
\(480\) −6.00190 0.408632i −0.273948 0.0186514i
\(481\) −20.6718 + 11.9349i −0.942552 + 0.544182i
\(482\) 3.97045 + 13.8403i 0.180849 + 0.630407i
\(483\) −9.14887 10.9729i −0.416288 0.499285i
\(484\) 1.77118 2.48437i 0.0805080 0.112926i
\(485\) −1.08361 5.44768i −0.0492042 0.247366i
\(486\) 20.7016 7.57914i 0.939044 0.343797i
\(487\) 15.9713 6.61554i 0.723730 0.299779i 0.00975729 0.999952i \(-0.496894\pi\)
0.713973 + 0.700174i \(0.246894\pi\)
\(488\) −3.76833 31.7394i −0.170585 1.43677i
\(489\) −26.9207 7.93838i −1.21740 0.358986i
\(490\) 0.688495 + 1.33640i 0.0311030 + 0.0603722i
\(491\) 1.75750 26.8142i 0.0793148 1.21011i −0.753836 0.657063i \(-0.771798\pi\)
0.833150 0.553047i \(-0.186535\pi\)
\(492\) 5.05426 + 4.34210i 0.227864 + 0.195757i
\(493\) −38.7048 33.9432i −1.74318 1.52873i
\(494\) −27.7816 + 4.15544i −1.24995 + 0.186962i
\(495\) −4.76252 3.07623i −0.214059 0.138266i
\(496\) −28.8019 + 19.4475i −1.29324 + 0.873219i
\(497\) −6.80111 25.3821i −0.305071 1.13854i
\(498\) −14.9546 0.110344i −0.670130 0.00494462i
\(499\) 6.01586 + 17.7222i 0.269307 + 0.793353i 0.994493 + 0.104800i \(0.0334203\pi\)
−0.725186 + 0.688553i \(0.758246\pi\)
\(500\) 9.58850 6.90627i 0.428811 0.308858i
\(501\) −9.98671 + 0.404649i −0.446173 + 0.0180784i
\(502\) −39.5338 + 8.58866i −1.76448 + 0.383331i
\(503\) 1.43467 3.46360i 0.0639687 0.154434i −0.888663 0.458562i \(-0.848365\pi\)
0.952631 + 0.304127i \(0.0983648\pi\)
\(504\) 6.42110 24.2369i 0.286019 1.07960i
\(505\) −4.03007 9.72946i −0.179336 0.432955i
\(506\) 9.98317 6.92737i 0.443806 0.307959i
\(507\) 8.81433 39.1769i 0.391458 1.73991i
\(508\) −18.1969 + 0.639877i −0.807356 + 0.0283900i
\(509\) −13.5261 6.67031i −0.599532 0.295656i 0.117087 0.993122i \(-0.462644\pi\)
−0.716619 + 0.697465i \(0.754311\pi\)
\(510\) 4.40240 + 5.82583i 0.194942 + 0.257972i
\(511\) 3.47735 6.02294i 0.153829 0.266439i
\(512\) 22.3450 3.56415i 0.987517 0.157515i
\(513\) −16.2987 + 5.36216i −0.719606 + 0.236745i
\(514\) −10.0273 16.6836i −0.442284 0.735881i
\(515\) 0.506155 + 7.72243i 0.0223039 + 0.340291i
\(516\) 5.03340 12.5110i 0.221583 0.550767i
\(517\) 9.60344 + 10.9506i 0.422359 + 0.481608i
\(518\) 1.37515 + 16.5251i 0.0604207 + 0.726071i
\(519\) −1.09477 0.0273237i −0.0480549 0.00119938i
\(520\) −4.73912 + 9.30943i −0.207824 + 0.408246i
\(521\) −11.3178 + 27.3237i −0.495844 + 1.19707i 0.455859 + 0.890052i \(0.349332\pi\)
−0.951703 + 0.307021i \(0.900668\pi\)
\(522\) 4.39160 44.7691i 0.192215 1.95949i
\(523\) 12.4820 18.6806i 0.545799 0.816846i −0.451346 0.892349i \(-0.649056\pi\)
0.997146 + 0.0755024i \(0.0240561\pi\)
\(524\) −36.0770 16.2409i −1.57603 0.709489i
\(525\) 9.93212 + 21.4751i 0.433473 + 0.937250i
\(526\) −10.8123 1.23058i −0.471439 0.0536556i
\(527\) 40.7466 + 10.9180i 1.77495 + 0.475597i
\(528\) 20.0518 + 7.25939i 0.872643 + 0.315924i
\(529\) 14.6897 3.93609i 0.638682 0.171134i
\(530\) 1.59567 0.238672i 0.0693113 0.0103673i
\(531\) −18.1353 + 10.8497i −0.787006 + 0.470837i
\(532\) −5.61947 + 18.6879i −0.243635 + 0.810224i
\(533\) 10.3774 5.11757i 0.449495 0.221667i
\(534\) −14.5471 + 28.9579i −0.629513 + 1.25313i
\(535\) 0.448900 + 3.40973i 0.0194076 + 0.147416i
\(536\) −28.6300 12.2881i −1.23663 0.530763i
\(537\) 36.9638 20.1285i 1.59511 0.868608i
\(538\) 18.9664 + 3.42730i 0.817699 + 0.147761i
\(539\) −1.03966 5.22674i −0.0447815 0.225132i
\(540\) −1.89483 + 6.09287i −0.0815404 + 0.262195i
\(541\) −14.3693 21.5053i −0.617787 0.924583i −1.00000 0.000508837i \(-0.999838\pi\)
0.382213 0.924074i \(-0.375162\pi\)
\(542\) 7.69783 7.97327i 0.330650 0.342481i
\(543\) −0.534038 5.02177i −0.0229178 0.215505i
\(544\) −21.0508 17.6419i −0.902546 0.756392i
\(545\) −6.54368 + 3.77800i −0.280301 + 0.161832i
\(546\) −34.3451 26.7588i −1.46983 1.14517i
\(547\) −7.53419 + 0.493817i −0.322139 + 0.0211141i −0.225615 0.974217i \(-0.572439\pi\)
−0.0965238 + 0.995331i \(0.530772\pi\)
\(548\) 5.03863 + 6.10932i 0.215239 + 0.260977i
\(549\) −33.6758 3.90204i −1.43725 0.166535i
\(550\) −18.9396 + 6.80260i −0.807586 + 0.290064i
\(551\) −4.56990 + 34.7118i −0.194684 + 1.47877i
\(552\) −10.5280 8.72771i −0.448100 0.371476i
\(553\) −3.65089 27.7313i −0.155252 1.17925i
\(554\) −28.8285 + 14.8521i −1.22480 + 0.631004i
\(555\) −0.170846 4.21647i −0.00725201 0.178979i
\(556\) 24.7846 + 0.751209i 1.05110 + 0.0318584i
\(557\) −5.29267 + 26.6081i −0.224258 + 1.12742i 0.690474 + 0.723357i \(0.257402\pi\)
−0.914732 + 0.404062i \(0.867598\pi\)
\(558\) 12.9978 + 34.4932i 0.550241 + 1.46021i
\(559\) −16.5586 16.5586i −0.700354 0.700354i
\(560\) 4.44565 + 5.73588i 0.187863 + 0.242385i
\(561\) −9.30616 24.1548i −0.392906 1.01982i
\(562\) −4.44362 + 39.0433i −0.187443 + 1.64694i
\(563\) 5.61870 + 16.5522i 0.236800 + 0.697590i 0.998751 + 0.0499559i \(0.0159081\pi\)
−0.761952 + 0.647634i \(0.775759\pi\)
\(564\) 8.96737 13.7214i 0.377594 0.577777i
\(565\) −1.28750 2.61080i −0.0541656 0.109837i
\(566\) 20.7929 18.8915i 0.873991 0.794071i
\(567\) −23.4332 12.5747i −0.984102 0.528088i
\(568\) −10.8369 22.6987i −0.454705 0.952416i
\(569\) −11.8550 1.56073i −0.496986 0.0654294i −0.122133 0.992514i \(-0.538973\pi\)
−0.374853 + 0.927084i \(0.622307\pi\)
\(570\) 1.63097 4.69070i 0.0683139 0.196472i
\(571\) 9.75270 + 11.1208i 0.408138 + 0.465392i 0.918992 0.394275i \(-0.129004\pi\)
−0.510855 + 0.859667i \(0.670671\pi\)
\(572\) 25.2486 27.0890i 1.05570 1.13265i
\(573\) 0.421503 + 2.43510i 0.0176085 + 0.101728i
\(574\) −0.141261 8.03686i −0.00589611 0.335452i
\(575\) 12.9049 0.538170
\(576\) 1.80687 23.9319i 0.0752861 0.997162i
\(577\) −0.952182 −0.0396399 −0.0198199 0.999804i \(-0.506309\pi\)
−0.0198199 + 0.999804i \(0.506309\pi\)
\(578\) 0.163390 + 9.29587i 0.00679613 + 0.386657i
\(579\) −7.53521 2.76939i −0.313152 0.115092i
\(580\) 9.52432 + 8.87725i 0.395476 + 0.368608i
\(581\) 11.8950 + 13.5636i 0.493487 + 0.562714i
\(582\) 21.7648 4.16259i 0.902181 0.172545i
\(583\) −5.67049 0.746534i −0.234848 0.0309183i
\(584\) 2.21988 6.27603i 0.0918595 0.259704i
\(585\) 8.44289 + 7.17516i 0.349071 + 0.296656i
\(586\) 19.5674 17.7781i 0.808322 0.734407i
\(587\) −0.291009 0.590107i −0.0120112 0.0243563i 0.890784 0.454426i \(-0.150156\pi\)
−0.902796 + 0.430070i \(0.858489\pi\)
\(588\) −5.35168 + 2.70734i −0.220699 + 0.111649i
\(589\) −9.22182 27.1666i −0.379978 1.11938i
\(590\) 0.691685 6.07741i 0.0284762 0.250203i
\(591\) −12.9337 + 16.0119i −0.532022 + 0.658643i
\(592\) 4.18243 + 15.3116i 0.171897 + 0.629304i
\(593\) −15.4609 15.4609i −0.634902 0.634902i 0.314391 0.949294i \(-0.398200\pi\)
−0.949294 + 0.314391i \(0.898200\pi\)
\(594\) 12.4125 18.9090i 0.509290 0.775846i
\(595\) 1.71851 8.63952i 0.0704519 0.354186i
\(596\) −0.474159 + 15.6439i −0.0194223 + 0.640799i
\(597\) −10.9817 5.76055i −0.449450 0.235764i
\(598\) −21.1099 + 10.8755i −0.863246 + 0.444734i
\(599\) 0.174936 + 1.32877i 0.00714771 + 0.0542922i 0.994647 0.103331i \(-0.0329501\pi\)
−0.987499 + 0.157623i \(0.949617\pi\)
\(600\) 13.1007 + 18.4746i 0.534832 + 0.754221i
\(601\) 1.68859 12.8261i 0.0688789 0.523187i −0.921872 0.387494i \(-0.873341\pi\)
0.990751 0.135693i \(-0.0433260\pi\)
\(602\) −15.3104 + 5.49909i −0.624004 + 0.224126i
\(603\) −19.7069 + 26.5263i −0.802529 + 1.08023i
\(604\) 27.7987 22.9268i 1.13111 0.932879i
\(605\) 0.934656 0.0612606i 0.0379992 0.00249060i
\(606\) 38.9333 15.7911i 1.58156 0.641472i
\(607\) 32.1093 18.5383i 1.30328 0.752447i 0.322312 0.946633i \(-0.395540\pi\)
0.980965 + 0.194186i \(0.0622066\pi\)
\(608\) −2.02228 + 18.5696i −0.0820145 + 0.753097i
\(609\) −43.8624 + 31.9502i −1.77739 + 1.29469i
\(610\) 6.81525 7.05911i 0.275941 0.285815i
\(611\) −15.8138 23.6670i −0.639756 0.957463i
\(612\) −23.3711 + 17.3914i −0.944721 + 0.703007i
\(613\) 1.27250 + 6.39731i 0.0513960 + 0.258385i 0.997937 0.0641979i \(-0.0204489\pi\)
−0.946541 + 0.322583i \(0.895449\pi\)
\(614\) 18.5298 + 3.34841i 0.747801 + 0.135131i
\(615\) −0.0510385 + 2.04494i −0.00205807 + 0.0824599i
\(616\) −9.54145 23.8905i −0.384436 0.962577i
\(617\) −3.26532 24.8026i −0.131457 0.998515i −0.922294 0.386489i \(-0.873688\pi\)
0.790837 0.612027i \(-0.209645\pi\)
\(618\) −30.8227 + 1.79193i −1.23987 + 0.0720821i
\(619\) 14.1303 6.96832i 0.567947 0.280080i −0.135560 0.990769i \(-0.543283\pi\)
0.703506 + 0.710689i \(0.251617\pi\)
\(620\) −10.2169 3.07223i −0.410321 0.123384i
\(621\) −11.5900 + 8.72124i −0.465089 + 0.349971i
\(622\) 16.4117 2.45479i 0.658051 0.0984281i
\(623\) 37.7607 10.1179i 1.51285 0.405367i
\(624\) −36.9995 19.1802i −1.48116 0.767824i
\(625\) −18.8234 5.04373i −0.752938 0.201749i
\(626\) −3.95959 0.450651i −0.158257 0.0180116i
\(627\) −10.1427 + 14.3891i −0.405062 + 0.574644i
\(628\) −3.37303 + 7.49271i −0.134599 + 0.298992i
\(629\) 10.7040 16.0196i 0.426795 0.638744i
\(630\) 7.00986 3.17945i 0.279280 0.126672i
\(631\) 13.1480 31.7421i 0.523414 1.26363i −0.412356 0.911023i \(-0.635294\pi\)
0.935770 0.352611i \(-0.114706\pi\)
\(632\) −8.28277 25.4602i −0.329471 1.01275i
\(633\) −15.9007 + 26.0192i −0.631998 + 1.03417i
\(634\) 0.658692 + 7.91545i 0.0261600 + 0.314363i
\(635\) −3.68558 4.20260i −0.146258 0.166775i
\(636\) 0.905187 + 6.37276i 0.0358930 + 0.252697i
\(637\) 0.681143 + 10.3922i 0.0269879 + 0.411755i
\(638\) −23.7761 39.5592i −0.941305 1.56616i
\(639\) −26.0820 + 5.61082i −1.03179 + 0.221960i
\(640\) 5.18637 + 4.62109i 0.205009 + 0.182665i
\(641\) 11.1629 19.3348i 0.440909 0.763678i −0.556848 0.830615i \(-0.687989\pi\)
0.997757 + 0.0669370i \(0.0213226\pi\)
\(642\) −13.6160 + 1.69047i −0.537380 + 0.0667175i
\(643\) −6.42847 3.17017i −0.253514 0.125019i 0.311092 0.950380i \(-0.399305\pi\)
−0.564606 + 0.825361i \(0.690972\pi\)
\(644\) 0.579734 + 16.4865i 0.0228447 + 0.649661i
\(645\) 3.95224 1.23252i 0.155619 0.0485304i
\(646\) 18.6281 12.9262i 0.732915 0.508573i
\(647\) −11.8924 28.7108i −0.467538 1.12874i −0.965234 0.261386i \(-0.915821\pi\)
0.497696 0.867351i \(-0.334179\pi\)
\(648\) −24.2511 7.73856i −0.952672 0.303999i
\(649\) −8.29770 + 20.0324i −0.325713 + 0.786341i
\(650\) 38.4314 8.34917i 1.50740 0.327481i
\(651\) 20.6558 39.3774i 0.809566 1.54332i
\(652\) 18.9412 + 26.2975i 0.741794 + 1.02989i
\(653\) −2.33162 6.86872i −0.0912432 0.268794i 0.891723 0.452582i \(-0.149497\pi\)
−0.982966 + 0.183789i \(0.941164\pi\)
\(654\) −14.8793 26.2165i −0.581827 1.02515i
\(655\) −3.14358 11.7320i −0.122830 0.458407i
\(656\) −1.53762 7.53890i −0.0600341 0.294345i
\(657\) −5.93117 3.83109i −0.231397 0.149465i
\(658\) −19.5563 + 2.92514i −0.762385 + 0.114034i
\(659\) 19.7420 + 17.3132i 0.769037 + 0.674428i 0.951108 0.308858i \(-0.0999467\pi\)
−0.182071 + 0.983285i \(0.558280\pi\)
\(660\) 2.16748 + 6.17752i 0.0843690 + 0.240460i
\(661\) −1.77449 + 27.0734i −0.0690195 + 1.05303i 0.813135 + 0.582075i \(0.197759\pi\)
−0.882155 + 0.470960i \(0.843908\pi\)
\(662\) 17.1123 + 33.2156i 0.665088 + 1.29096i
\(663\) 11.8696 + 49.1747i 0.460978 + 1.90979i
\(664\) 13.5652 + 10.6859i 0.526430 + 0.414693i
\(665\) −5.53478 + 2.29258i −0.214630 + 0.0889025i
\(666\) 16.8262 0.557455i 0.652001 0.0216009i
\(667\) 5.77410 + 29.0284i 0.223574 + 1.12398i
\(668\) 9.39743 + 6.69968i 0.363598 + 0.259218i
\(669\) 1.13676 0.196768i 0.0439499 0.00760748i
\(670\) −2.63746 9.19370i −0.101894 0.355184i
\(671\) −30.1232 + 17.3916i −1.16289 + 0.671396i
\(672\) −23.0135 + 17.5666i −0.887766 + 0.677646i
\(673\) 30.4920 + 17.6046i 1.17538 + 0.678607i 0.954942 0.296794i \(-0.0959174\pi\)
0.220440 + 0.975401i \(0.429251\pi\)
\(674\) 11.8198 47.4312i 0.455282 1.82698i
\(675\) 22.2789 8.98355i 0.857515 0.345777i
\(676\) −35.7719 + 29.5027i −1.37584 + 1.13472i
\(677\) 29.7126 + 10.0861i 1.14195 + 0.387639i 0.827406 0.561604i \(-0.189816\pi\)
0.314542 + 0.949244i \(0.398149\pi\)
\(678\) 10.4534 5.05950i 0.401460 0.194309i
\(679\) −21.2074 16.2730i −0.813865 0.624501i
\(680\) 0.107295 8.43112i 0.00411459 0.323319i
\(681\) 13.1817 12.5397i 0.505123 0.480522i
\(682\) 31.8106 + 20.4558i 1.21809 + 0.783293i
\(683\) −8.12108 5.42634i −0.310745 0.207633i 0.390412 0.920640i \(-0.372333\pi\)
−0.701157 + 0.713007i \(0.747333\pi\)
\(684\) 18.6650 + 6.64467i 0.713675 + 0.254065i
\(685\) −0.474282 + 2.38437i −0.0181214 + 0.0911023i
\(686\) −20.4859 8.06673i −0.782155 0.307989i
\(687\) 5.38630 34.2799i 0.205500 1.30786i
\(688\) −13.4477 + 7.85120i −0.512687 + 0.299324i
\(689\) 10.7964 + 2.89288i 0.411309 + 0.110210i
\(690\) 0.0309758 4.19806i 0.00117923 0.159817i
\(691\) −13.7801 + 15.7132i −0.524219 + 0.597757i −0.951990 0.306130i \(-0.900966\pi\)
0.427771 + 0.903887i \(0.359299\pi\)
\(692\) 0.979429 + 0.799831i 0.0372323 + 0.0304050i
\(693\) −26.9939 + 3.98156i −1.02541 + 0.151247i
\(694\) −2.69623 + 2.44968i −0.102347 + 0.0929885i
\(695\) 4.63399 + 6.03914i 0.175777 + 0.229078i
\(696\) −35.6952 + 37.7350i −1.35302 + 1.43034i
\(697\) −5.68543 + 7.40940i −0.215351 + 0.280651i
\(698\) 21.8047 1.81450i 0.825321 0.0686799i
\(699\) 5.04844 1.57438i 0.190950 0.0595484i
\(700\) 6.13941 26.6222i 0.232048 1.00623i
\(701\) −33.2979 + 22.2489i −1.25764 + 0.840330i −0.992304 0.123825i \(-0.960484\pi\)
−0.265339 + 0.964155i \(0.585484\pi\)
\(702\) −28.8731 + 33.4708i −1.08974 + 1.26327i
\(703\) −13.1031 −0.494194
\(704\) −13.1552 20.8160i −0.495804 0.784533i
\(705\) 5.00394 0.532142i 0.188459 0.0200416i
\(706\) −3.30943 1.83392i −0.124552 0.0690205i
\(707\) −45.4556 22.4162i −1.70953 0.843049i
\(708\) 24.2248 + 2.93830i 0.910424 + 0.110428i
\(709\) −3.66137 + 10.7860i −0.137505 + 0.405078i −0.993769 0.111462i \(-0.964447\pi\)
0.856263 + 0.516540i \(0.172780\pi\)
\(710\) 3.29300 6.98437i 0.123584 0.262119i
\(711\) −28.3046 + 2.29750i −1.06150 + 0.0861631i
\(712\) 33.7686 16.1219i 1.26553 0.604194i
\(713\) −14.7640 19.2408i −0.552916 0.720575i
\(714\) 34.4158 + 7.11011i 1.28798 + 0.266089i
\(715\) 11.3439 + 0.743519i 0.424238 + 0.0278060i
\(716\) −47.9701 7.80045i −1.79273 0.291517i
\(717\) −10.6220 22.9667i −0.396685 0.857707i
\(718\) 1.81998 0.791611i 0.0679209 0.0295427i
\(719\) 16.9222 16.9222i 0.631091 0.631091i −0.317251 0.948342i \(-0.602760\pi\)
0.948342 + 0.317251i \(0.102760\pi\)
\(720\) 6.04137 4.21740i 0.225148 0.157173i
\(721\) 26.3362 + 26.3362i 0.980812 + 0.980812i
\(722\) 10.6536 + 4.19509i 0.396488 + 0.156125i
\(723\) −14.4136 10.1600i −0.536046 0.377855i
\(724\) −3.06732 + 4.95943i −0.113996 + 0.184316i
\(725\) 3.20587 48.9121i 0.119063 1.81655i
\(726\) 0.216880 + 3.73051i 0.00804917 + 0.138452i
\(727\) −15.6071 + 11.9757i −0.578834 + 0.444155i −0.856226 0.516602i \(-0.827197\pi\)
0.277392 + 0.960757i \(0.410530\pi\)
\(728\) 12.3929 + 48.7228i 0.459312 + 1.80579i
\(729\) −13.9376 + 23.1245i −0.516209 + 0.856463i
\(730\) 1.92336 0.690822i 0.0711869 0.0255685i
\(731\) 17.8984 + 6.07570i 0.661997 + 0.224718i
\(732\) 27.9609 + 27.3965i 1.03347 + 1.01260i
\(733\) 4.22565 8.56877i 0.156078 0.316495i −0.804762 0.593597i \(-0.797707\pi\)
0.960840 + 0.277102i \(0.0893740\pi\)
\(734\) 10.8456 3.11134i 0.400317 0.114842i
\(735\) −1.68293 0.746814i −0.0620756 0.0275467i
\(736\) 3.42711 + 15.4144i 0.126325 + 0.568181i
\(737\) 33.9054i 1.24892i
\(738\) −8.15657 0.263808i −0.300247 0.00971090i
\(739\) −20.9675 31.3801i −0.771302 1.15434i −0.984165 0.177253i \(-0.943279\pi\)
0.212863 0.977082i \(-0.431721\pi\)
\(740\) −2.82866 + 3.96767i −0.103984 + 0.145855i
\(741\) 23.3224 25.2922i 0.856770 0.929132i
\(742\) 5.01630 5.92695i 0.184154 0.217585i
\(743\) 0.989210 + 0.759048i 0.0362906 + 0.0278468i 0.626747 0.779222i \(-0.284386\pi\)
−0.590457 + 0.807069i \(0.701052\pi\)
\(744\) 12.5571 40.6688i 0.460365 1.49099i
\(745\) −3.81187 + 2.92495i −0.139656 + 0.107162i
\(746\) −40.6068 1.94554i −1.48672 0.0712312i
\(747\) 14.3560 11.3746i 0.525260 0.416175i
\(748\) −8.60722 + 28.6239i −0.314711 + 1.04659i
\(749\) 12.4440 + 10.9131i 0.454694 + 0.398756i
\(750\) −3.84881 + 13.9514i −0.140539 + 0.509432i
\(751\) −8.00590 + 29.8784i −0.292139 + 1.09028i 0.651323 + 0.758800i \(0.274214\pi\)
−0.943463 + 0.331478i \(0.892453\pi\)
\(752\) −17.8934 + 6.17094i −0.652507 + 0.225031i
\(753\) 31.1345 38.5445i 1.13460 1.40464i
\(754\) 35.9763 + 82.7124i 1.31018 + 3.01221i
\(755\) 10.8494 + 2.15808i 0.394851 + 0.0785407i
\(756\) 12.4777 + 28.0587i 0.453811 + 1.02048i
\(757\) −28.1214 + 42.0867i −1.02209 + 1.52967i −0.184897 + 0.982758i \(0.559195\pi\)
−0.837193 + 0.546908i \(0.815805\pi\)
\(758\) −9.39269 + 2.04055i −0.341158 + 0.0741160i
\(759\) −4.20925 + 14.2745i −0.152786 + 0.518130i
\(760\) −4.80815 + 3.12494i −0.174410 + 0.113354i
\(761\) 4.66984 6.08585i 0.169282 0.220612i −0.701007 0.713155i \(-0.747266\pi\)
0.870288 + 0.492543i \(0.163932\pi\)
\(762\) 16.8743 14.5795i 0.611291 0.528160i
\(763\) −11.6889 + 34.4344i −0.423167 + 1.24661i
\(764\) 1.33908 2.51993i 0.0484463 0.0911677i
\(765\) −8.67347 2.18014i −0.313590 0.0788233i
\(766\) −0.308262 0.512893i −0.0111380 0.0185316i
\(767\) 21.1871 36.6971i 0.765020 1.32505i
\(768\) −18.5880 + 20.5544i −0.670738 + 0.741695i
\(769\) 4.49179 + 7.78001i 0.161978 + 0.280554i 0.935578 0.353120i \(-0.114879\pi\)
−0.773600 + 0.633674i \(0.781546\pi\)
\(770\) 3.82794 6.90777i 0.137949 0.248939i
\(771\) 22.3763 + 8.22389i 0.805864 + 0.296176i
\(772\) 4.91423 + 7.86016i 0.176867 + 0.282893i
\(773\) 21.3837