Properties

Label 390.2.bh.c.71.7
Level $390$
Weight $2$
Character 390.71
Analytic conductor $3.114$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 390.bh (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.11416567883\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(10\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 71.7
Character \(\chi\) \(=\) 390.71
Dual form 390.2.bh.c.11.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 - 0.258819i) q^{2} +(-0.192053 + 1.72137i) q^{3} +(0.866025 - 0.500000i) q^{4} +(0.707107 + 0.707107i) q^{5} +(0.260015 + 1.71242i) q^{6} +(-0.213554 + 0.796995i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-2.92623 - 0.661187i) q^{9} +O(q^{10})\) \(q+(0.965926 - 0.258819i) q^{2} +(-0.192053 + 1.72137i) q^{3} +(0.866025 - 0.500000i) q^{4} +(0.707107 + 0.707107i) q^{5} +(0.260015 + 1.71242i) q^{6} +(-0.213554 + 0.796995i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-2.92623 - 0.661187i) q^{9} +(0.866025 + 0.500000i) q^{10} +(0.981698 + 3.66375i) q^{11} +(0.694363 + 1.58678i) q^{12} +(3.42697 + 1.12067i) q^{13} +0.825110i q^{14} +(-1.35299 + 1.08139i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-1.49980 - 2.59772i) q^{17} +(-2.99765 + 0.118707i) q^{18} +(1.17350 + 0.314438i) q^{19} +(0.965926 + 0.258819i) q^{20} +(-1.33091 - 0.520671i) q^{21} +(1.89649 + 3.28482i) q^{22} +(-1.76190 + 3.05169i) q^{23} +(1.08139 + 1.35299i) q^{24} +1.00000i q^{25} +(3.60025 + 0.195522i) q^{26} +(1.70014 - 4.91015i) q^{27} +(0.213554 + 0.796995i) q^{28} +(-6.48200 - 3.74239i) q^{29} +(-1.02701 + 1.39472i) q^{30} +(0.00278407 - 0.00278407i) q^{31} +(0.258819 - 0.965926i) q^{32} +(-6.49520 + 0.986234i) q^{33} +(-2.12103 - 2.12103i) q^{34} +(-0.714566 + 0.412555i) q^{35} +(-2.86478 + 0.890511i) q^{36} +(10.9895 - 2.94462i) q^{37} +1.21489 q^{38} +(-2.58725 + 5.68385i) q^{39} +1.00000 q^{40} +(-4.61510 + 1.23661i) q^{41} +(-1.42032 - 0.158464i) q^{42} +(3.40698 - 1.96702i) q^{43} +(2.68205 + 2.68205i) q^{44} +(-1.60163 - 2.53669i) q^{45} +(-0.912024 + 3.40372i) q^{46} +(7.01463 - 7.01463i) q^{47} +(1.39472 + 1.02701i) q^{48} +(5.47258 + 3.15960i) q^{49} +(0.258819 + 0.965926i) q^{50} +(4.75968 - 2.08280i) q^{51} +(3.52818 - 0.742952i) q^{52} -4.90674i q^{53} +(0.371368 - 5.18286i) q^{54} +(-1.89649 + 3.28482i) q^{55} +(0.412555 + 0.714566i) q^{56} +(-0.766637 + 1.95964i) q^{57} +(-7.22973 - 1.93720i) q^{58} +(-4.67330 - 1.25221i) q^{59} +(-0.631032 + 1.61301i) q^{60} +(-6.87481 - 11.9075i) q^{61} +(0.00196864 - 0.00340978i) q^{62} +(1.15187 - 2.19099i) q^{63} -1.00000i q^{64} +(1.63080 + 3.21567i) q^{65} +(-6.01863 + 2.63371i) q^{66} +(-3.00389 - 11.2107i) q^{67} +(-2.59772 - 1.49980i) q^{68} +(-4.91472 - 3.61896i) q^{69} +(-0.583441 + 0.583441i) q^{70} +(-1.52747 + 5.70060i) q^{71} +(-2.53669 + 1.60163i) q^{72} +(-8.49044 - 8.49044i) q^{73} +(9.85289 - 5.68857i) q^{74} +(-1.72137 - 0.192053i) q^{75} +(1.17350 - 0.314438i) q^{76} -3.12963 q^{77} +(-1.02800 + 6.15981i) q^{78} +5.90955 q^{79} +(0.965926 - 0.258819i) q^{80} +(8.12566 + 3.86957i) q^{81} +(-4.13778 + 2.38895i) q^{82} +(5.36244 + 5.36244i) q^{83} +(-1.41294 + 0.214541i) q^{84} +(0.776351 - 2.89738i) q^{85} +(2.78179 - 2.78179i) q^{86} +(7.68692 - 10.4392i) q^{87} +(3.28482 + 1.89649i) q^{88} +(-1.85846 - 6.93588i) q^{89} +(-2.20360 - 2.03572i) q^{90} +(-1.62501 + 2.49195i) q^{91} +3.52379i q^{92} +(0.00425773 + 0.00532711i) q^{93} +(4.96009 - 8.59113i) q^{94} +(0.607447 + 1.05213i) q^{95} +(1.61301 + 0.631032i) q^{96} +(-7.65690 - 2.05166i) q^{97} +(6.10387 + 1.63553i) q^{98} +(-0.450254 - 11.3701i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40 q + 8 q^{6} - 8 q^{7} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 40 q + 8 q^{6} - 8 q^{7} + 8 q^{9} + 8 q^{13} + 4 q^{15} + 20 q^{16} - 8 q^{18} - 16 q^{19} + 4 q^{21} - 8 q^{22} + 8 q^{24} - 48 q^{27} + 8 q^{28} + 36 q^{31} + 12 q^{33} + 16 q^{34} - 12 q^{36} - 64 q^{37} - 60 q^{39} + 40 q^{40} - 12 q^{42} + 8 q^{45} - 32 q^{46} + 48 q^{49} + 24 q^{52} - 28 q^{54} + 8 q^{55} - 76 q^{57} - 28 q^{58} + 4 q^{60} - 40 q^{61} + 80 q^{63} + 40 q^{66} - 28 q^{67} - 36 q^{69} + 16 q^{70} + 16 q^{72} + 8 q^{73} - 16 q^{76} - 28 q^{78} + 40 q^{79} + 12 q^{81} + 20 q^{84} + 44 q^{85} + 40 q^{87} + 12 q^{88} + 120 q^{91} - 8 q^{93} - 16 q^{94} + 4 q^{96} - 160 q^{97} - 96 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{5}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 0.258819i 0.683013 0.183013i
\(3\) −0.192053 + 1.72137i −0.110882 + 0.993834i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) 0.707107 + 0.707107i 0.316228 + 0.316228i
\(6\) 0.260015 + 1.71242i 0.106151 + 0.699094i
\(7\) −0.213554 + 0.796995i −0.0807159 + 0.301236i −0.994469 0.105035i \(-0.966504\pi\)
0.913753 + 0.406271i \(0.133171\pi\)
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) −2.92623 0.661187i −0.975411 0.220396i
\(10\) 0.866025 + 0.500000i 0.273861 + 0.158114i
\(11\) 0.981698 + 3.66375i 0.295993 + 1.10466i 0.940426 + 0.340000i \(0.110427\pi\)
−0.644433 + 0.764661i \(0.722906\pi\)
\(12\) 0.694363 + 1.58678i 0.200445 + 0.458063i
\(13\) 3.42697 + 1.12067i 0.950469 + 0.310819i
\(14\) 0.825110i 0.220520i
\(15\) −1.35299 + 1.08139i −0.349342 + 0.279214i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −1.49980 2.59772i −0.363754 0.630040i 0.624822 0.780768i \(-0.285172\pi\)
−0.988575 + 0.150727i \(0.951838\pi\)
\(18\) −2.99765 + 0.118707i −0.706553 + 0.0279795i
\(19\) 1.17350 + 0.314438i 0.269219 + 0.0721370i 0.390903 0.920432i \(-0.372163\pi\)
−0.121684 + 0.992569i \(0.538829\pi\)
\(20\) 0.965926 + 0.258819i 0.215988 + 0.0578737i
\(21\) −1.33091 0.520671i −0.290428 0.113620i
\(22\) 1.89649 + 3.28482i 0.404334 + 0.700327i
\(23\) −1.76190 + 3.05169i −0.367381 + 0.636322i −0.989155 0.146874i \(-0.953079\pi\)
0.621775 + 0.783196i \(0.286412\pi\)
\(24\) 1.08139 + 1.35299i 0.220738 + 0.276179i
\(25\) 1.00000i 0.200000i
\(26\) 3.60025 + 0.195522i 0.706066 + 0.0383451i
\(27\) 1.70014 4.91015i 0.327192 0.944958i
\(28\) 0.213554 + 0.796995i 0.0403580 + 0.150618i
\(29\) −6.48200 3.74239i −1.20368 0.694943i −0.242306 0.970200i \(-0.577904\pi\)
−0.961371 + 0.275256i \(0.911237\pi\)
\(30\) −1.02701 + 1.39472i −0.187505 + 0.254641i
\(31\) 0.00278407 0.00278407i 0.000500034 0.000500034i −0.706857 0.707357i \(-0.749887\pi\)
0.707357 + 0.706857i \(0.249887\pi\)
\(32\) 0.258819 0.965926i 0.0457532 0.170753i
\(33\) −6.49520 + 0.986234i −1.13067 + 0.171681i
\(34\) −2.12103 2.12103i −0.363754 0.363754i
\(35\) −0.714566 + 0.412555i −0.120784 + 0.0697345i
\(36\) −2.86478 + 0.890511i −0.477464 + 0.148419i
\(37\) 10.9895 2.94462i 1.80666 0.484093i 0.811673 0.584112i \(-0.198557\pi\)
0.994985 + 0.100020i \(0.0318906\pi\)
\(38\) 1.21489 0.197082
\(39\) −2.58725 + 5.68385i −0.414291 + 0.910144i
\(40\) 1.00000 0.158114
\(41\) −4.61510 + 1.23661i −0.720757 + 0.193126i −0.600509 0.799618i \(-0.705035\pi\)
−0.120247 + 0.992744i \(0.538369\pi\)
\(42\) −1.42032 0.158464i −0.219160 0.0244516i
\(43\) 3.40698 1.96702i 0.519560 0.299968i −0.217195 0.976128i \(-0.569691\pi\)
0.736755 + 0.676160i \(0.236357\pi\)
\(44\) 2.68205 + 2.68205i 0.404334 + 0.404334i
\(45\) −1.60163 2.53669i −0.238757 0.378147i
\(46\) −0.912024 + 3.40372i −0.134471 + 0.501851i
\(47\) 7.01463 7.01463i 1.02319 1.02319i 0.0234640 0.999725i \(-0.492530\pi\)
0.999725 0.0234640i \(-0.00746952\pi\)
\(48\) 1.39472 + 1.02701i 0.201311 + 0.148236i
\(49\) 5.47258 + 3.15960i 0.781797 + 0.451371i
\(50\) 0.258819 + 0.965926i 0.0366025 + 0.136603i
\(51\) 4.75968 2.08280i 0.666489 0.291651i
\(52\) 3.52818 0.742952i 0.489270 0.103029i
\(53\) 4.90674i 0.673992i −0.941506 0.336996i \(-0.890589\pi\)
0.941506 0.336996i \(-0.109411\pi\)
\(54\) 0.371368 5.18286i 0.0505367 0.705299i
\(55\) −1.89649 + 3.28482i −0.255723 + 0.442926i
\(56\) 0.412555 + 0.714566i 0.0551300 + 0.0954880i
\(57\) −0.766637 + 1.95964i −0.101544 + 0.259560i
\(58\) −7.22973 1.93720i −0.949310 0.254367i
\(59\) −4.67330 1.25221i −0.608412 0.163024i −0.0585576 0.998284i \(-0.518650\pi\)
−0.549854 + 0.835261i \(0.685317\pi\)
\(60\) −0.631032 + 1.61301i −0.0814659 + 0.208239i
\(61\) −6.87481 11.9075i −0.880230 1.52460i −0.851085 0.525027i \(-0.824055\pi\)
−0.0291445 0.999575i \(-0.509278\pi\)
\(62\) 0.00196864 0.00340978i 0.000250017 0.000433042i
\(63\) 1.15187 2.19099i 0.145122 0.276039i
\(64\) 1.00000i 0.125000i
\(65\) 1.63080 + 3.21567i 0.202275 + 0.398854i
\(66\) −6.01863 + 2.63371i −0.740842 + 0.324187i
\(67\) −3.00389 11.2107i −0.366984 1.36960i −0.864711 0.502269i \(-0.832499\pi\)
0.497727 0.867334i \(-0.334168\pi\)
\(68\) −2.59772 1.49980i −0.315020 0.181877i
\(69\) −4.91472 3.61896i −0.591662 0.435672i
\(70\) −0.583441 + 0.583441i −0.0697345 + 0.0697345i
\(71\) −1.52747 + 5.70060i −0.181277 + 0.676537i 0.814119 + 0.580698i \(0.197220\pi\)
−0.995397 + 0.0958392i \(0.969447\pi\)
\(72\) −2.53669 + 1.60163i −0.298952 + 0.188754i
\(73\) −8.49044 8.49044i −0.993730 0.993730i 0.00625000 0.999980i \(-0.498011\pi\)
−0.999980 + 0.00625000i \(0.998011\pi\)
\(74\) 9.85289 5.68857i 1.14538 0.661283i
\(75\) −1.72137 0.192053i −0.198767 0.0221763i
\(76\) 1.17350 0.314438i 0.134609 0.0360685i
\(77\) −3.12963 −0.356655
\(78\) −1.02800 + 6.15981i −0.116398 + 0.697461i
\(79\) 5.90955 0.664877 0.332438 0.943125i \(-0.392129\pi\)
0.332438 + 0.943125i \(0.392129\pi\)
\(80\) 0.965926 0.258819i 0.107994 0.0289368i
\(81\) 8.12566 + 3.86957i 0.902852 + 0.429953i
\(82\) −4.13778 + 2.38895i −0.456942 + 0.263815i
\(83\) 5.36244 + 5.36244i 0.588605 + 0.588605i 0.937253 0.348649i \(-0.113359\pi\)
−0.348649 + 0.937253i \(0.613359\pi\)
\(84\) −1.41294 + 0.214541i −0.154164 + 0.0234083i
\(85\) 0.776351 2.89738i 0.0842071 0.314265i
\(86\) 2.78179 2.78179i 0.299968 0.299968i
\(87\) 7.68692 10.4392i 0.824124 1.11920i
\(88\) 3.28482 + 1.89649i 0.350163 + 0.202167i
\(89\) −1.85846 6.93588i −0.196997 0.735202i −0.991741 0.128257i \(-0.959062\pi\)
0.794744 0.606945i \(-0.207605\pi\)
\(90\) −2.20360 2.03572i −0.232280 0.214584i
\(91\) −1.62501 + 2.49195i −0.170348 + 0.261227i
\(92\) 3.52379i 0.367381i
\(93\) 0.00425773 + 0.00532711i 0.000441506 + 0.000552395i
\(94\) 4.96009 8.59113i 0.511594 0.886107i
\(95\) 0.607447 + 1.05213i 0.0623228 + 0.107946i
\(96\) 1.61301 + 0.631032i 0.164627 + 0.0644044i
\(97\) −7.65690 2.05166i −0.777440 0.208314i −0.151784 0.988414i \(-0.548502\pi\)
−0.625656 + 0.780099i \(0.715169\pi\)
\(98\) 6.10387 + 1.63553i 0.616584 + 0.165213i
\(99\) −0.450254 11.3701i −0.0452522 1.14273i
\(100\) 0.500000 + 0.866025i 0.0500000 + 0.0866025i
\(101\) −7.69191 + 13.3228i −0.765374 + 1.32567i 0.174675 + 0.984626i \(0.444113\pi\)
−0.940049 + 0.341041i \(0.889221\pi\)
\(102\) 4.05843 3.24373i 0.401844 0.321177i
\(103\) 16.3952i 1.61547i 0.589548 + 0.807733i \(0.299306\pi\)
−0.589548 + 0.807733i \(0.700694\pi\)
\(104\) 3.21567 1.63080i 0.315322 0.159913i
\(105\) −0.572926 1.30927i −0.0559118 0.127771i
\(106\) −1.26996 4.73954i −0.123349 0.460345i
\(107\) 0.677545 + 0.391181i 0.0655008 + 0.0378169i 0.532393 0.846497i \(-0.321293\pi\)
−0.466892 + 0.884314i \(0.654626\pi\)
\(108\) −0.982710 5.10238i −0.0945614 0.490977i
\(109\) −0.503685 + 0.503685i −0.0482443 + 0.0482443i −0.730817 0.682573i \(-0.760861\pi\)
0.682573 + 0.730817i \(0.260861\pi\)
\(110\) −0.981698 + 3.66375i −0.0936012 + 0.349324i
\(111\) 2.95823 + 19.4825i 0.280782 + 1.84919i
\(112\) 0.583441 + 0.583441i 0.0551300 + 0.0551300i
\(113\) 5.41625 3.12708i 0.509518 0.294170i −0.223117 0.974792i \(-0.571623\pi\)
0.732636 + 0.680621i \(0.238290\pi\)
\(114\) −0.233324 + 2.09128i −0.0218528 + 0.195867i
\(115\) −3.40372 + 0.912024i −0.317399 + 0.0850467i
\(116\) −7.48477 −0.694943
\(117\) −9.28712 5.54521i −0.858595 0.512655i
\(118\) −4.83816 −0.445389
\(119\) 2.39066 0.640575i 0.219151 0.0587215i
\(120\) −0.192053 + 1.72137i −0.0175319 + 0.157139i
\(121\) −2.93302 + 1.69338i −0.266638 + 0.153944i
\(122\) −9.72246 9.72246i −0.880230 0.880230i
\(123\) −1.24233 8.18178i −0.112017 0.737727i
\(124\) 0.00101904 0.00380311i 9.15126e−5 0.000341530i
\(125\) −0.707107 + 0.707107i −0.0632456 + 0.0632456i
\(126\) 0.545552 2.41446i 0.0486016 0.215098i
\(127\) 0.683797 + 0.394790i 0.0606771 + 0.0350320i 0.530032 0.847978i \(-0.322180\pi\)
−0.469355 + 0.883010i \(0.655513\pi\)
\(128\) −0.258819 0.965926i −0.0228766 0.0853766i
\(129\) 2.73165 + 6.24245i 0.240509 + 0.549617i
\(130\) 2.40750 + 2.68401i 0.211152 + 0.235404i
\(131\) 0.615603i 0.0537854i −0.999638 0.0268927i \(-0.991439\pi\)
0.999638 0.0268927i \(-0.00856125\pi\)
\(132\) −5.13189 + 4.10170i −0.446674 + 0.357007i
\(133\) −0.501211 + 0.868123i −0.0434605 + 0.0752758i
\(134\) −5.80308 10.0512i −0.501309 0.868293i
\(135\) 4.67418 2.26982i 0.402289 0.195355i
\(136\) −2.89738 0.776351i −0.248448 0.0665716i
\(137\) −10.3607 2.77613i −0.885172 0.237181i −0.212534 0.977154i \(-0.568172\pi\)
−0.672637 + 0.739973i \(0.734838\pi\)
\(138\) −5.68391 2.22362i −0.483846 0.189287i
\(139\) 11.5899 + 20.0743i 0.983042 + 1.70268i 0.650331 + 0.759651i \(0.274630\pi\)
0.332711 + 0.943029i \(0.392037\pi\)
\(140\) −0.412555 + 0.714566i −0.0348673 + 0.0603919i
\(141\) 10.7276 + 13.4220i 0.903427 + 1.13033i
\(142\) 5.90170i 0.495259i
\(143\) −0.741614 + 13.6557i −0.0620168 + 1.14195i
\(144\) −2.03572 + 2.20360i −0.169643 + 0.183633i
\(145\) −1.93720 7.22973i −0.160876 0.600397i
\(146\) −10.3986 6.00365i −0.860596 0.496865i
\(147\) −6.48986 + 8.81353i −0.535275 + 0.726928i
\(148\) 8.04485 8.04485i 0.661283 0.661283i
\(149\) −1.19718 + 4.46795i −0.0980772 + 0.366029i −0.997468 0.0711164i \(-0.977344\pi\)
0.899391 + 0.437145i \(0.144010\pi\)
\(150\) −1.71242 + 0.260015i −0.139819 + 0.0212301i
\(151\) −5.26555 5.26555i −0.428504 0.428504i 0.459614 0.888119i \(-0.347988\pi\)
−0.888119 + 0.459614i \(0.847988\pi\)
\(152\) 1.05213 0.607447i 0.0853390 0.0492705i
\(153\) 2.67117 + 8.59318i 0.215951 + 0.694718i
\(154\) −3.02299 + 0.810009i −0.243600 + 0.0652724i
\(155\) 0.00393727 0.000316249
\(156\) 0.601301 + 6.21598i 0.0481426 + 0.497677i
\(157\) 4.36770 0.348580 0.174290 0.984694i \(-0.444237\pi\)
0.174290 + 0.984694i \(0.444237\pi\)
\(158\) 5.70819 1.52950i 0.454119 0.121681i
\(159\) 8.44631 + 0.942351i 0.669836 + 0.0747333i
\(160\) 0.866025 0.500000i 0.0684653 0.0395285i
\(161\) −2.05592 2.05592i −0.162030 0.162030i
\(162\) 8.85031 + 1.63464i 0.695346 + 0.128430i
\(163\) 1.31903 4.92267i 0.103314 0.385574i −0.894834 0.446398i \(-0.852706\pi\)
0.998148 + 0.0608248i \(0.0193731\pi\)
\(164\) −3.37848 + 3.37848i −0.263815 + 0.263815i
\(165\) −5.29017 3.89543i −0.411839 0.303259i
\(166\) 6.56762 + 3.79182i 0.509747 + 0.294302i
\(167\) −2.38628 8.90571i −0.184656 0.689144i −0.994704 0.102781i \(-0.967226\pi\)
0.810048 0.586363i \(-0.199441\pi\)
\(168\) −1.30927 + 0.572926i −0.101012 + 0.0442022i
\(169\) 10.4882 + 7.68101i 0.806784 + 0.590847i
\(170\) 2.99959i 0.230058i
\(171\) −3.22603 1.69602i −0.246700 0.129698i
\(172\) 1.96702 3.40698i 0.149984 0.259780i
\(173\) 2.74926 + 4.76186i 0.209023 + 0.362038i 0.951407 0.307937i \(-0.0996384\pi\)
−0.742384 + 0.669974i \(0.766305\pi\)
\(174\) 4.72313 12.0730i 0.358059 0.915252i
\(175\) −0.796995 0.213554i −0.0602472 0.0161432i
\(176\) 3.66375 + 0.981698i 0.276165 + 0.0739982i
\(177\) 3.05303 7.80399i 0.229480 0.586584i
\(178\) −3.59028 6.21854i −0.269103 0.466100i
\(179\) 2.40507 4.16571i 0.179764 0.311360i −0.762036 0.647535i \(-0.775800\pi\)
0.941800 + 0.336175i \(0.109133\pi\)
\(180\) −2.65539 1.39602i −0.197921 0.104053i
\(181\) 9.68726i 0.720048i 0.932943 + 0.360024i \(0.117232\pi\)
−0.932943 + 0.360024i \(0.882768\pi\)
\(182\) −0.924678 + 2.82762i −0.0685417 + 0.209597i
\(183\) 21.8176 9.54723i 1.61280 0.705752i
\(184\) 0.912024 + 3.40372i 0.0672353 + 0.250926i
\(185\) 9.85289 + 5.68857i 0.724399 + 0.418232i
\(186\) 0.00549141 + 0.00404361i 0.000402650 + 0.000296492i
\(187\) 8.04505 8.04505i 0.588312 0.588312i
\(188\) 2.56753 9.58216i 0.187257 0.698851i
\(189\) 3.55029 + 2.40358i 0.258246 + 0.174835i
\(190\) 0.859060 + 0.859060i 0.0623228 + 0.0623228i
\(191\) −4.55237 + 2.62831i −0.329398 + 0.190178i −0.655574 0.755131i \(-0.727573\pi\)
0.326176 + 0.945309i \(0.394240\pi\)
\(192\) 1.72137 + 0.192053i 0.124229 + 0.0138602i
\(193\) −0.170227 + 0.0456122i −0.0122532 + 0.00328324i −0.264940 0.964265i \(-0.585352\pi\)
0.252687 + 0.967548i \(0.418686\pi\)
\(194\) −7.92700 −0.569126
\(195\) −5.84855 + 2.18963i −0.418823 + 0.156802i
\(196\) 6.31919 0.451371
\(197\) −7.06564 + 1.89323i −0.503406 + 0.134887i −0.501580 0.865111i \(-0.667248\pi\)
−0.00182570 + 0.999998i \(0.500581\pi\)
\(198\) −3.37770 10.8661i −0.240043 0.772220i
\(199\) −16.9120 + 9.76412i −1.19886 + 0.692160i −0.960300 0.278969i \(-0.910007\pi\)
−0.238556 + 0.971129i \(0.576674\pi\)
\(200\) 0.707107 + 0.707107i 0.0500000 + 0.0500000i
\(201\) 19.8746 3.01777i 1.40185 0.212857i
\(202\) −3.98163 + 14.8596i −0.280146 + 1.04552i
\(203\) 4.36692 4.36692i 0.306498 0.306498i
\(204\) 3.08060 4.18360i 0.215685 0.292911i
\(205\) −4.13778 2.38895i −0.288995 0.166851i
\(206\) 4.24339 + 15.8365i 0.295651 + 1.10338i
\(207\) 7.17345 7.76502i 0.498589 0.539706i
\(208\) 2.68401 2.40750i 0.186103 0.166930i
\(209\) 4.60808i 0.318748i
\(210\) −0.892267 1.11637i −0.0615723 0.0770368i
\(211\) −3.04589 + 5.27563i −0.209688 + 0.363189i −0.951616 0.307289i \(-0.900578\pi\)
0.741929 + 0.670479i \(0.233911\pi\)
\(212\) −2.45337 4.24936i −0.168498 0.291847i
\(213\) −9.51949 3.72416i −0.652265 0.255175i
\(214\) 0.755704 + 0.202490i 0.0516588 + 0.0138419i
\(215\) 3.79999 + 1.01821i 0.259157 + 0.0694410i
\(216\) −2.26982 4.67418i −0.154442 0.318037i
\(217\) 0.00162434 + 0.00281344i 0.000110267 + 0.000190989i
\(218\) −0.356159 + 0.616886i −0.0241221 + 0.0417808i
\(219\) 16.2458 12.9846i 1.09779 0.877416i
\(220\) 3.79299i 0.255723i
\(221\) −2.22855 10.5831i −0.149909 0.711895i
\(222\) 7.89986 + 18.0530i 0.530204 + 1.21164i
\(223\) −2.15128 8.02867i −0.144060 0.537640i −0.999795 0.0202258i \(-0.993561\pi\)
0.855735 0.517414i \(-0.173105\pi\)
\(224\) 0.714566 + 0.412555i 0.0477440 + 0.0275650i
\(225\) 0.661187 2.92623i 0.0440791 0.195082i
\(226\) 4.42235 4.42235i 0.294170 0.294170i
\(227\) −5.28248 + 19.7145i −0.350611 + 1.30850i 0.535309 + 0.844657i \(0.320195\pi\)
−0.885919 + 0.463840i \(0.846471\pi\)
\(228\) 0.315891 + 2.08041i 0.0209204 + 0.137779i
\(229\) −0.725435 0.725435i −0.0479381 0.0479381i 0.682731 0.730669i \(-0.260792\pi\)
−0.730669 + 0.682731i \(0.760792\pi\)
\(230\) −3.05169 + 1.76190i −0.201223 + 0.116176i
\(231\) 0.601054 5.38726i 0.0395465 0.354456i
\(232\) −7.22973 + 1.93720i −0.474655 + 0.127183i
\(233\) 11.6818 0.765300 0.382650 0.923893i \(-0.375012\pi\)
0.382650 + 0.923893i \(0.375012\pi\)
\(234\) −10.4059 2.95258i −0.680253 0.193016i
\(235\) 9.92018 0.647121
\(236\) −4.67330 + 1.25221i −0.304206 + 0.0815118i
\(237\) −1.13494 + 10.1725i −0.0737226 + 0.660777i
\(238\) 2.14341 1.23750i 0.138936 0.0802150i
\(239\) 14.3879 + 14.3879i 0.930674 + 0.930674i 0.997748 0.0670742i \(-0.0213664\pi\)
−0.0670742 + 0.997748i \(0.521366\pi\)
\(240\) 0.260015 + 1.71242i 0.0167839 + 0.110536i
\(241\) −4.66870 + 17.4238i −0.300738 + 1.12237i 0.635815 + 0.771841i \(0.280664\pi\)
−0.936553 + 0.350527i \(0.886003\pi\)
\(242\) −2.39480 + 2.39480i −0.153944 + 0.153944i
\(243\) −8.22152 + 13.2441i −0.527411 + 0.849610i
\(244\) −11.9075 6.87481i −0.762301 0.440115i
\(245\) 1.63553 + 6.10387i 0.104490 + 0.389962i
\(246\) −3.31760 7.58146i −0.211522 0.483376i
\(247\) 3.66916 + 2.39267i 0.233463 + 0.152242i
\(248\) 0.00393727i 0.000250017i
\(249\) −10.2606 + 8.20088i −0.650240 + 0.519710i
\(250\) −0.500000 + 0.866025i −0.0316228 + 0.0547723i
\(251\) −14.7378 25.5266i −0.930242 1.61123i −0.782906 0.622139i \(-0.786264\pi\)
−0.147335 0.989087i \(-0.547070\pi\)
\(252\) −0.0979463 2.47339i −0.00617004 0.155809i
\(253\) −12.9103 3.45930i −0.811662 0.217484i
\(254\) 0.762676 + 0.204358i 0.0478546 + 0.0128226i
\(255\) 4.83837 + 1.89284i 0.302990 + 0.118534i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 6.45733 11.1844i 0.402797 0.697665i −0.591265 0.806477i \(-0.701371\pi\)
0.994062 + 0.108812i \(0.0347047\pi\)
\(258\) 4.25424 + 5.32274i 0.264857 + 0.331379i
\(259\) 9.38739i 0.583304i
\(260\) 3.02014 + 1.96945i 0.187301 + 0.122140i
\(261\) 16.4934 + 15.2369i 1.02092 + 0.943140i
\(262\) −0.159330 0.594626i −0.00984342 0.0367361i
\(263\) 23.8997 + 13.7985i 1.47372 + 0.850850i 0.999562 0.0295919i \(-0.00942077\pi\)
0.474154 + 0.880442i \(0.342754\pi\)
\(264\) −3.89543 + 5.29017i −0.239747 + 0.325588i
\(265\) 3.46959 3.46959i 0.213135 0.213135i
\(266\) −0.259446 + 0.968265i −0.0159077 + 0.0593682i
\(267\) 12.2961 1.86705i 0.752512 0.114262i
\(268\) −8.20679 8.20679i −0.501309 0.501309i
\(269\) −18.1139 + 10.4581i −1.10442 + 0.637639i −0.937379 0.348310i \(-0.886756\pi\)
−0.167044 + 0.985949i \(0.553422\pi\)
\(270\) 3.92744 3.40224i 0.239016 0.207054i
\(271\) −15.0716 + 4.03842i −0.915534 + 0.245316i −0.685675 0.727908i \(-0.740493\pi\)
−0.229858 + 0.973224i \(0.573826\pi\)
\(272\) −2.99959 −0.181877
\(273\) −3.97748 3.27584i −0.240728 0.198263i
\(274\) −10.7262 −0.647991
\(275\) −3.66375 + 0.981698i −0.220932 + 0.0591986i
\(276\) −6.06575 0.676753i −0.365115 0.0407357i
\(277\) −21.0524 + 12.1546i −1.26492 + 0.730301i −0.974022 0.226453i \(-0.927287\pi\)
−0.290897 + 0.956754i \(0.593954\pi\)
\(278\) 16.3906 + 16.3906i 0.983042 + 0.983042i
\(279\) −0.00998763 + 0.00630605i −0.000597944 + 0.000377533i
\(280\) −0.213554 + 0.796995i −0.0127623 + 0.0476296i
\(281\) 16.7143 16.7143i 0.997090 0.997090i −0.00290627 0.999996i \(-0.500925\pi\)
0.999996 + 0.00290627i \(0.000925096\pi\)
\(282\) 13.8359 + 10.1881i 0.823917 + 0.606693i
\(283\) 19.5493 + 11.2868i 1.16208 + 0.670930i 0.951803 0.306711i \(-0.0992285\pi\)
0.210282 + 0.977641i \(0.432562\pi\)
\(284\) 1.52747 + 5.70060i 0.0906387 + 0.338268i
\(285\) −1.92777 + 0.843578i −0.114191 + 0.0499692i
\(286\) 2.81801 + 13.3823i 0.166632 + 0.791314i
\(287\) 3.94229i 0.232706i
\(288\) −1.39602 + 2.65539i −0.0822614 + 0.156471i
\(289\) 4.00123 6.93033i 0.235366 0.407666i
\(290\) −3.74239 6.48200i −0.219760 0.380636i
\(291\) 5.00219 12.7863i 0.293234 0.749548i
\(292\) −11.5982 3.10772i −0.678731 0.181865i
\(293\) −27.9435 7.48743i −1.63247 0.437420i −0.677843 0.735207i \(-0.737085\pi\)
−0.954632 + 0.297787i \(0.903752\pi\)
\(294\) −3.98761 + 10.1929i −0.232562 + 0.594463i
\(295\) −2.41908 4.18997i −0.140844 0.243949i
\(296\) 5.68857 9.85289i 0.330641 0.572688i
\(297\) 19.6585 + 1.40859i 1.14070 + 0.0817349i
\(298\) 4.62556i 0.267952i
\(299\) −9.45790 + 8.48354i −0.546965 + 0.490616i
\(300\) −1.58678 + 0.694363i −0.0916126 + 0.0400891i
\(301\) 0.840132 + 3.13541i 0.0484244 + 0.180722i
\(302\) −6.44895 3.72330i −0.371095 0.214252i
\(303\) −21.4562 15.7993i −1.23263 0.907647i
\(304\) 0.859060 0.859060i 0.0492705 0.0492705i
\(305\) 3.55867 13.2811i 0.203769 0.760475i
\(306\) 4.80423 + 7.60903i 0.274640 + 0.434979i
\(307\) −5.27808 5.27808i −0.301236 0.301236i 0.540261 0.841497i \(-0.318325\pi\)
−0.841497 + 0.540261i \(0.818325\pi\)
\(308\) −2.71034 + 1.56482i −0.154436 + 0.0891637i
\(309\) −28.2222 3.14874i −1.60550 0.179125i
\(310\) 0.00380311 0.00101904i 0.000216002 5.78776e-5i
\(311\) −17.2916 −0.980516 −0.490258 0.871577i \(-0.663097\pi\)
−0.490258 + 0.871577i \(0.663097\pi\)
\(312\) 2.18963 + 5.84855i 0.123963 + 0.331109i
\(313\) −3.71423 −0.209941 −0.104970 0.994475i \(-0.533475\pi\)
−0.104970 + 0.994475i \(0.533475\pi\)
\(314\) 4.21887 1.13044i 0.238085 0.0637946i
\(315\) 2.36376 0.734770i 0.133183 0.0413996i
\(316\) 5.11782 2.95478i 0.287900 0.166219i
\(317\) 11.8820 + 11.8820i 0.667358 + 0.667358i 0.957104 0.289746i \(-0.0935708\pi\)
−0.289746 + 0.957104i \(0.593571\pi\)
\(318\) 8.40241 1.27582i 0.471184 0.0715447i
\(319\) 7.34778 27.4223i 0.411397 1.53535i
\(320\) 0.707107 0.707107i 0.0395285 0.0395285i
\(321\) −0.803492 + 1.09118i −0.0448465 + 0.0609037i
\(322\) −2.51798 1.45376i −0.140322 0.0810148i
\(323\) −0.943185 3.52001i −0.0524802 0.195859i
\(324\) 8.97182 0.711684i 0.498434 0.0395380i
\(325\) −1.12067 + 3.42697i −0.0621637 + 0.190094i
\(326\) 5.09633i 0.282259i
\(327\) −0.770294 0.963762i −0.0425974 0.0532962i
\(328\) −2.38895 + 4.13778i −0.131908 + 0.228471i
\(329\) 4.09262 + 7.08863i 0.225634 + 0.390809i
\(330\) −6.11813 2.39350i −0.336792 0.131758i
\(331\) −18.7857 5.03361i −1.03256 0.276672i −0.297531 0.954712i \(-0.596163\pi\)
−0.735025 + 0.678040i \(0.762830\pi\)
\(332\) 7.32523 + 1.96279i 0.402024 + 0.107722i
\(333\) −34.1047 + 1.35055i −1.86893 + 0.0740094i
\(334\) −4.60993 7.98464i −0.252244 0.436900i
\(335\) 5.80308 10.0512i 0.317056 0.549157i
\(336\) −1.11637 + 0.892267i −0.0609029 + 0.0486771i
\(337\) 29.4143i 1.60230i 0.598465 + 0.801149i \(0.295777\pi\)
−0.598465 + 0.801149i \(0.704223\pi\)
\(338\) 12.1188 + 4.70474i 0.659176 + 0.255904i
\(339\) 4.34265 + 9.92394i 0.235860 + 0.538994i
\(340\) −0.776351 2.89738i −0.0421036 0.157133i
\(341\) 0.0129332 + 0.00746701i 0.000700375 + 0.000404361i
\(342\) −3.55506 0.803273i −0.192236 0.0434360i
\(343\) −7.77096 + 7.77096i −0.419593 + 0.419593i
\(344\) 1.01821 3.79999i 0.0548980 0.204882i
\(345\) −0.916238 6.03422i −0.0493286 0.324871i
\(346\) 3.88804 + 3.88804i 0.209023 + 0.209023i
\(347\) 18.3677 10.6046i 0.986030 0.569285i 0.0819448 0.996637i \(-0.473887\pi\)
0.904085 + 0.427352i \(0.140554\pi\)
\(348\) 1.43747 12.8841i 0.0770564 0.690658i
\(349\) −15.5273 + 4.16053i −0.831157 + 0.222708i −0.649218 0.760602i \(-0.724904\pi\)
−0.181939 + 0.983310i \(0.558237\pi\)
\(350\) −0.825110 −0.0441040
\(351\) 11.3290 14.9216i 0.604696 0.796456i
\(352\) 3.79299 0.202167
\(353\) 31.5613 8.45683i 1.67984 0.450112i 0.712103 0.702075i \(-0.247743\pi\)
0.967737 + 0.251963i \(0.0810762\pi\)
\(354\) 0.929180 8.32826i 0.0493854 0.442642i
\(355\) −5.11102 + 2.95085i −0.271265 + 0.156615i
\(356\) −5.07742 5.07742i −0.269103 0.269103i
\(357\) 0.643535 + 4.23824i 0.0340595 + 0.224311i
\(358\) 1.24496 4.64624i 0.0657980 0.245562i
\(359\) 4.78448 4.78448i 0.252515 0.252515i −0.569486 0.822001i \(-0.692858\pi\)
0.822001 + 0.569486i \(0.192858\pi\)
\(360\) −2.92623 0.661187i −0.154226 0.0348476i
\(361\) −15.1763 8.76202i −0.798750 0.461159i
\(362\) 2.50725 + 9.35718i 0.131778 + 0.491802i
\(363\) −2.35164 5.37404i −0.123429 0.282064i
\(364\) −0.161327 + 2.97060i −0.00845585 + 0.155702i
\(365\) 12.0073i 0.628490i
\(366\) 18.6032 14.8687i 0.972403 0.777201i
\(367\) 6.73485 11.6651i 0.351556 0.608913i −0.634966 0.772540i \(-0.718986\pi\)
0.986522 + 0.163627i \(0.0523192\pi\)
\(368\) 1.76190 + 3.05169i 0.0918451 + 0.159080i
\(369\) 14.3225 0.567170i 0.745598 0.0295257i
\(370\) 10.9895 + 2.94462i 0.571315 + 0.153084i
\(371\) 3.91065 + 1.04785i 0.203031 + 0.0544019i
\(372\) 0.00635086 + 0.00248454i 0.000329277 + 0.000128818i
\(373\) −17.0360 29.5072i −0.882089 1.52782i −0.849014 0.528370i \(-0.822804\pi\)
−0.0330743 0.999453i \(-0.510530\pi\)
\(374\) 5.68871 9.85313i 0.294156 0.509493i
\(375\) −1.08139 1.35299i −0.0558428 0.0698683i
\(376\) 9.92018i 0.511594i
\(377\) −18.0196 20.0892i −0.928057 1.03465i
\(378\) 4.05141 + 1.40280i 0.208382 + 0.0721523i
\(379\) −6.18511 23.0832i −0.317708 1.18570i −0.921442 0.388516i \(-0.872988\pi\)
0.603734 0.797186i \(-0.293679\pi\)
\(380\) 1.05213 + 0.607447i 0.0539731 + 0.0311614i
\(381\) −0.810905 + 1.10125i −0.0415439 + 0.0564186i
\(382\) −3.71699 + 3.71699i −0.190178 + 0.190178i
\(383\) −5.87449 + 21.9239i −0.300172 + 1.12026i 0.636850 + 0.770988i \(0.280237\pi\)
−0.937022 + 0.349270i \(0.886430\pi\)
\(384\) 1.71242 0.260015i 0.0873867 0.0132688i
\(385\) −2.21299 2.21299i −0.112784 0.112784i
\(386\) −0.152621 + 0.0881160i −0.00776822 + 0.00448499i
\(387\) −11.2702 + 3.50331i −0.572896 + 0.178083i
\(388\) −7.65690 + 2.05166i −0.388720 + 0.104157i
\(389\) 9.80108 0.496934 0.248467 0.968640i \(-0.420073\pi\)
0.248467 + 0.968640i \(0.420073\pi\)
\(390\) −5.08255 + 3.62873i −0.257365 + 0.183748i
\(391\) 10.5699 0.534544
\(392\) 6.10387 1.63553i 0.308292 0.0826066i
\(393\) 1.05968 + 0.118228i 0.0534538 + 0.00596381i
\(394\) −6.33488 + 3.65744i −0.319147 + 0.184259i
\(395\) 4.17869 + 4.17869i 0.210252 + 0.210252i
\(396\) −6.07496 9.62163i −0.305278 0.483505i
\(397\) 6.48832 24.2147i 0.325640 1.21530i −0.588028 0.808841i \(-0.700095\pi\)
0.913667 0.406463i \(-0.133238\pi\)
\(398\) −13.8085 + 13.8085i −0.692160 + 0.692160i
\(399\) −1.39810 1.02950i −0.0699927 0.0515392i
\(400\) 0.866025 + 0.500000i 0.0433013 + 0.0250000i
\(401\) −8.23082 30.7179i −0.411028 1.53398i −0.792661 0.609663i \(-0.791305\pi\)
0.381633 0.924314i \(-0.375362\pi\)
\(402\) 18.4164 8.05888i 0.918525 0.401940i
\(403\) 0.0126609 0.00642089i 0.000630687 0.000319847i
\(404\) 15.3838i 0.765374i
\(405\) 3.00951 + 8.48191i 0.149544 + 0.421470i
\(406\) 3.08788 5.34837i 0.153249 0.265435i
\(407\) 21.5767 + 37.3719i 1.06952 + 1.85246i
\(408\) 1.89284 4.83837i 0.0937094 0.239535i
\(409\) 21.7307 + 5.82273i 1.07451 + 0.287915i 0.752347 0.658767i \(-0.228922\pi\)
0.322168 + 0.946683i \(0.395588\pi\)
\(410\) −4.61510 1.23661i −0.227923 0.0610719i
\(411\) 6.76854 17.3014i 0.333868 0.853414i
\(412\) 8.19760 + 14.1987i 0.403867 + 0.699518i
\(413\) 1.99601 3.45719i 0.0982171 0.170117i
\(414\) 4.91929 9.35706i 0.241770 0.459874i
\(415\) 7.58364i 0.372266i
\(416\) 1.96945 3.02014i 0.0965602 0.148075i
\(417\) −36.7812 + 16.0952i −1.80118 + 0.788185i
\(418\) 1.19266 + 4.45107i 0.0583349 + 0.217709i
\(419\) −16.2904 9.40527i −0.795838 0.459477i 0.0461757 0.998933i \(-0.485297\pi\)
−0.842014 + 0.539456i \(0.818630\pi\)
\(420\) −1.15080 0.847394i −0.0561533 0.0413486i
\(421\) 22.9593 22.9593i 1.11897 1.11897i 0.127075 0.991893i \(-0.459441\pi\)
0.991893 0.127075i \(-0.0405590\pi\)
\(422\) −1.57667 + 5.88420i −0.0767510 + 0.286439i
\(423\) −25.1644 + 15.8884i −1.22354 + 0.772523i
\(424\) −3.46959 3.46959i −0.168498 0.168498i
\(425\) 2.59772 1.49980i 0.126008 0.0727508i
\(426\) −10.1590 1.13344i −0.492205 0.0549151i
\(427\) 10.9584 2.93629i 0.530314 0.142097i
\(428\) 0.782362 0.0378169
\(429\) −23.3641 3.89920i −1.12803 0.188255i
\(430\) 3.93404 0.189716
\(431\) −21.1395 + 5.66432i −1.01825 + 0.272840i −0.729075 0.684434i \(-0.760049\pi\)
−0.289180 + 0.957275i \(0.593383\pi\)
\(432\) −3.40224 3.92744i −0.163690 0.188959i
\(433\) −5.85090 + 3.37802i −0.281176 + 0.162337i −0.633956 0.773369i \(-0.718570\pi\)
0.352779 + 0.935707i \(0.385237\pi\)
\(434\) 0.00229717 + 0.00229717i 0.000110267 + 0.000110267i
\(435\) 12.8171 1.94615i 0.614533 0.0933109i
\(436\) −0.184361 + 0.688046i −0.00882931 + 0.0329515i
\(437\) −3.02715 + 3.02715i −0.144808 + 0.144808i
\(438\) 12.3316 16.7469i 0.589226 0.800196i
\(439\) −23.5242 13.5817i −1.12275 0.648219i −0.180648 0.983548i \(-0.557819\pi\)
−0.942101 + 0.335329i \(0.891153\pi\)
\(440\) 0.981698 + 3.66375i 0.0468006 + 0.174662i
\(441\) −13.9250 12.8641i −0.663093 0.612577i
\(442\) −4.89172 9.64568i −0.232675 0.458798i
\(443\) 30.5438i 1.45118i −0.688126 0.725591i \(-0.741566\pi\)
0.688126 0.725591i \(-0.258434\pi\)
\(444\) 12.3031 + 15.3932i 0.583881 + 0.730529i
\(445\) 3.59028 6.21854i 0.170195 0.294787i
\(446\) −4.15595 7.19831i −0.196790 0.340850i
\(447\) −7.46108 2.91888i −0.352897 0.138058i
\(448\) 0.796995 + 0.213554i 0.0376545 + 0.0100895i
\(449\) 14.7387 + 3.94923i 0.695563 + 0.186376i 0.589242 0.807956i \(-0.299426\pi\)
0.106321 + 0.994332i \(0.466093\pi\)
\(450\) −0.118707 2.99765i −0.00559590 0.141311i
\(451\) −9.06126 15.6946i −0.426678 0.739028i
\(452\) 3.12708 5.41625i 0.147085 0.254759i
\(453\) 10.0752 8.05269i 0.473375 0.378349i
\(454\) 20.4099i 0.957886i
\(455\) −2.91113 + 0.613018i −0.136476 + 0.0287387i
\(456\) 0.843578 + 1.92777i 0.0395041 + 0.0902759i
\(457\) 0.951818 + 3.55223i 0.0445242 + 0.166167i 0.984608 0.174777i \(-0.0559203\pi\)
−0.940084 + 0.340943i \(0.889254\pi\)
\(458\) −0.888473 0.512960i −0.0415156 0.0239690i
\(459\) −15.3051 + 2.94773i −0.714379 + 0.137588i
\(460\) −2.49170 + 2.49170i −0.116176 + 0.116176i
\(461\) 4.95099 18.4773i 0.230591 0.860576i −0.749497 0.662008i \(-0.769704\pi\)
0.980087 0.198568i \(-0.0636290\pi\)
\(462\) −0.813752 5.35926i −0.0378591 0.249335i
\(463\) 28.1621 + 28.1621i 1.30880 + 1.30880i 0.922280 + 0.386523i \(0.126324\pi\)
0.386523 + 0.922280i \(0.373676\pi\)
\(464\) −6.48200 + 3.74239i −0.300919 + 0.173736i
\(465\) −0.000756163 0.00677750i −3.50662e−5 0.000314299i
\(466\) 11.2837 3.02347i 0.522709 0.140060i
\(467\) −31.6851 −1.46621 −0.733105 0.680116i \(-0.761930\pi\)
−0.733105 + 0.680116i \(0.761930\pi\)
\(468\) −10.8155 0.158733i −0.499946 0.00733745i
\(469\) 9.57635 0.442195
\(470\) 9.58216 2.56753i 0.441992 0.118431i
\(471\) −0.838827 + 7.51842i −0.0386511 + 0.346431i
\(472\) −4.18997 + 2.41908i −0.192859 + 0.111347i
\(473\) 10.5513 + 10.5513i 0.485149 + 0.485149i
\(474\) 1.53657 + 10.1197i 0.0705771 + 0.464811i
\(475\) −0.314438 + 1.17350i −0.0144274 + 0.0538438i
\(476\) 1.75008 1.75008i 0.0802150 0.0802150i
\(477\) −3.24427 + 14.3582i −0.148545 + 0.657419i
\(478\) 17.6215 + 10.1738i 0.805987 + 0.465337i
\(479\) −6.64561 24.8018i −0.303646 1.13322i −0.934105 0.356999i \(-0.883800\pi\)
0.630459 0.776222i \(-0.282867\pi\)
\(480\) 0.694363 + 1.58678i 0.0316932 + 0.0724261i
\(481\) 40.9605 + 2.22448i 1.86764 + 0.101428i
\(482\) 18.0385i 0.821631i
\(483\) 3.93385 3.14416i 0.178996 0.143064i
\(484\) −1.69338 + 2.93302i −0.0769719 + 0.133319i
\(485\) −3.96350 6.86499i −0.179973 0.311723i
\(486\) −4.51355 + 14.9207i −0.204739 + 0.676818i
\(487\) −23.2525 6.23048i −1.05367 0.282330i −0.309903 0.950768i \(-0.600297\pi\)
−0.743768 + 0.668438i \(0.766963\pi\)
\(488\) −13.2811 3.55867i −0.601208 0.161093i
\(489\) 8.22042 + 3.21594i 0.371740 + 0.145430i
\(490\) 3.15960 + 5.47258i 0.142736 + 0.247226i
\(491\) −5.01301 + 8.68279i −0.226234 + 0.391849i −0.956689 0.291112i \(-0.905975\pi\)
0.730455 + 0.682961i \(0.239308\pi\)
\(492\) −5.16678 6.46447i −0.232936 0.291441i
\(493\) 22.4512i 1.01115i
\(494\) 4.16340 + 1.36150i 0.187320 + 0.0612567i
\(495\) 7.72146 8.35822i 0.347054 0.375674i
\(496\) −0.00101904 0.00380311i −4.57563e−5 0.000170765i
\(497\) −4.21715 2.43477i −0.189165 0.109215i
\(498\) −7.78846 + 10.5771i −0.349009 + 0.473971i
\(499\) −15.2170 + 15.2170i −0.681206 + 0.681206i −0.960272 0.279066i \(-0.909975\pi\)
0.279066 + 0.960272i \(0.409975\pi\)
\(500\) −0.258819 + 0.965926i −0.0115747 + 0.0431975i
\(501\) 15.7883 2.39730i 0.705370 0.107104i
\(502\) −20.8424 20.8424i −0.930242 0.930242i
\(503\) −30.8229 + 17.7956i −1.37433 + 0.793467i −0.991469 0.130341i \(-0.958393\pi\)
−0.382856 + 0.923808i \(0.625060\pi\)
\(504\) −0.734770 2.36376i −0.0327292 0.105290i
\(505\) −14.8596 + 3.98163i −0.661245 + 0.177180i
\(506\) −13.3657 −0.594178
\(507\) −15.2361 + 16.5789i −0.676661 + 0.736295i
\(508\) 0.789580 0.0350320
\(509\) 25.7113 6.88933i 1.13963 0.305364i 0.360830 0.932632i \(-0.382493\pi\)
0.778804 + 0.627267i \(0.215827\pi\)
\(510\) 5.16341 + 0.576079i 0.228640 + 0.0255092i
\(511\) 8.58001 4.95367i 0.379557 0.219137i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 3.53904 5.22746i 0.156253 0.230798i
\(514\) 3.34256 12.4746i 0.147434 0.550231i
\(515\) −11.5932 + 11.5932i −0.510855 + 0.510855i
\(516\) 5.48691 + 4.04029i 0.241548 + 0.177864i
\(517\) 32.5861 + 18.8136i 1.43313 + 0.827420i
\(518\) 2.42964 + 9.06753i 0.106752 + 0.398404i
\(519\) −8.72493 + 3.81797i −0.382982 + 0.167590i
\(520\) 3.42697 + 1.12067i 0.150282 + 0.0491447i
\(521\) 13.4752i 0.590358i 0.955442 + 0.295179i \(0.0953793\pi\)
−0.955442 + 0.295179i \(0.904621\pi\)
\(522\) 19.8750 + 10.4489i 0.869906 + 0.457336i
\(523\) 2.98474 5.16972i 0.130514 0.226056i −0.793361 0.608751i \(-0.791671\pi\)
0.923875 + 0.382695i \(0.125004\pi\)
\(524\) −0.307801 0.533127i −0.0134464 0.0232898i
\(525\) 0.520671 1.33091i 0.0227239 0.0580857i
\(526\) 26.6566 + 7.14261i 1.16228 + 0.311433i
\(527\) −0.0114078 0.00305671i −0.000496931 0.000133152i
\(528\) −2.39350 + 6.11813i −0.104164 + 0.266257i
\(529\) 5.29145 + 9.16506i 0.230063 + 0.398481i
\(530\) 2.45337 4.24936i 0.106567 0.184580i
\(531\) 12.8472 + 6.75418i 0.557522 + 0.293106i
\(532\) 1.00242i 0.0434605i
\(533\) −17.2016 0.934185i −0.745084 0.0404641i
\(534\) 11.3939 4.98591i 0.493064 0.215761i
\(535\) 0.202490 + 0.755704i 0.00875441 + 0.0326719i
\(536\) −10.0512 5.80308i −0.434147 0.250655i
\(537\) 6.70883 + 4.94006i 0.289507 + 0.213179i
\(538\) −14.7899 + 14.7899i −0.637639 + 0.637639i
\(539\) −6.20354 + 23.1519i −0.267205 + 0.997224i
\(540\) 2.91305 4.30281i 0.125358 0.185163i
\(541\) 22.2468 + 22.2468i 0.956465 + 0.956465i 0.999091 0.0426256i \(-0.0135723\pi\)
−0.0426256 + 0.999091i \(0.513572\pi\)
\(542\) −13.5128 + 7.80163i −0.580425 + 0.335109i
\(543\) −16.6754 1.86046i −0.715608 0.0798401i
\(544\) −2.89738 + 0.776351i −0.124224 + 0.0332858i
\(545\) −0.712318 −0.0305124
\(546\) −4.68980 2.13477i −0.200705 0.0913595i
\(547\) −23.4492 −1.00261 −0.501307 0.865269i \(-0.667147\pi\)
−0.501307 + 0.865269i \(0.667147\pi\)
\(548\) −10.3607 + 2.77613i −0.442586 + 0.118590i
\(549\) 12.2442 + 39.3897i 0.522570 + 1.68111i
\(550\) −3.28482 + 1.89649i −0.140065 + 0.0808668i
\(551\) −6.42987 6.42987i −0.273922 0.273922i
\(552\) −6.03422 + 0.916238i −0.256833 + 0.0389977i
\(553\) −1.26201 + 4.70989i −0.0536661 + 0.200285i
\(554\) −17.1892 + 17.1892i −0.730301 + 0.730301i
\(555\) −11.6844 + 15.8680i −0.495975 + 0.673558i
\(556\) 20.0743 + 11.5899i 0.851340 + 0.491521i
\(557\) 0.216431 + 0.807730i 0.00917046 + 0.0342246i 0.970359 0.241666i \(-0.0776939\pi\)
−0.961189 + 0.275891i \(0.911027\pi\)
\(558\) −0.00801519 + 0.00867616i −0.000339310 + 0.000367291i
\(559\) 13.8800 2.92281i 0.587061 0.123622i
\(560\) 0.825110i 0.0348673i
\(561\) 12.3034 + 15.3936i 0.519451 + 0.649917i
\(562\) 11.8188 20.4707i 0.498545 0.863505i
\(563\) 15.1333 + 26.2117i 0.637794 + 1.10469i 0.985916 + 0.167242i \(0.0534862\pi\)
−0.348122 + 0.937449i \(0.613180\pi\)
\(564\) 16.0013 + 6.25995i 0.673778 + 0.263592i
\(565\) 6.04105 + 1.61869i 0.254149 + 0.0680989i
\(566\) 21.8044 + 5.84247i 0.916507 + 0.245577i
\(567\) −4.81930 + 5.64975i −0.202392 + 0.237267i
\(568\) 2.95085 + 5.11102i 0.123815 + 0.214454i
\(569\) 6.86965 11.8986i 0.287991 0.498814i −0.685339 0.728224i \(-0.740346\pi\)
0.973330 + 0.229409i \(0.0736795\pi\)
\(570\) −1.64375 + 1.31378i −0.0688489 + 0.0550280i
\(571\) 26.2679i 1.09928i −0.835403 0.549638i \(-0.814765\pi\)
0.835403 0.549638i \(-0.185235\pi\)
\(572\) 6.18559 + 12.1970i 0.258633 + 0.509981i
\(573\) −3.65000 8.34108i −0.152481 0.348454i
\(574\) −1.02034 3.80796i −0.0425882 0.158941i
\(575\) −3.05169 1.76190i −0.127264 0.0734761i
\(576\) −0.661187 + 2.92623i −0.0275495 + 0.121926i
\(577\) 17.6073 17.6073i 0.733000 0.733000i −0.238213 0.971213i \(-0.576562\pi\)
0.971213 + 0.238213i \(0.0765617\pi\)
\(578\) 2.07119 7.72978i 0.0861500 0.321516i
\(579\) −0.0458229 0.301784i −0.00190434 0.0125417i
\(580\) −5.29253 5.29253i −0.219760 0.219760i
\(581\) −5.41901 + 3.12867i −0.224819 + 0.129799i
\(582\) 1.52240 13.6453i 0.0631056 0.565616i
\(583\) 17.9770 4.81693i 0.744533 0.199497i
\(584\) −12.0073 −0.496865
\(585\) −2.64593 10.4880i −0.109396 0.433627i
\(586\) −28.9292 −1.19505
\(587\) 6.50869 1.74400i 0.268643 0.0719826i −0.121983 0.992532i \(-0.538925\pi\)
0.390626 + 0.920550i \(0.372259\pi\)
\(588\) −1.21362 + 10.8777i −0.0500487 + 0.448588i
\(589\) 0.00414252 0.00239169i 0.000170690 9.85477e-5i
\(590\) −3.42109 3.42109i −0.140844 0.140844i
\(591\) −1.90198 12.5262i −0.0782370 0.515258i
\(592\) 2.94462 10.9895i 0.121023 0.451665i
\(593\) 22.4859 22.4859i 0.923387 0.923387i −0.0738801 0.997267i \(-0.523538\pi\)
0.997267 + 0.0738801i \(0.0235382\pi\)
\(594\) 19.3533 3.72741i 0.794074 0.152937i
\(595\) 2.14341 + 1.23750i 0.0878711 + 0.0507324i
\(596\) 1.19718 + 4.46795i 0.0490386 + 0.183014i
\(597\) −13.5597 30.9870i −0.554961 1.26821i
\(598\) −6.93993 + 10.6424i −0.283795 + 0.435198i
\(599\) 20.4003i 0.833532i 0.909014 + 0.416766i \(0.136837\pi\)
−0.909014 + 0.416766i \(0.863163\pi\)
\(600\) −1.35299 + 1.08139i −0.0552358 + 0.0441476i
\(601\) 6.60632 11.4425i 0.269477 0.466749i −0.699250 0.714878i \(-0.746482\pi\)
0.968727 + 0.248129i \(0.0798157\pi\)
\(602\) 1.62301 + 2.81114i 0.0661489 + 0.114573i
\(603\) 1.37773 + 34.7912i 0.0561055 + 1.41681i
\(604\) −7.19287 1.92732i −0.292674 0.0784217i
\(605\) −3.27136 0.876559i −0.133000 0.0356372i
\(606\) −24.8143 9.70769i −1.00801 0.394348i
\(607\) 2.52615 + 4.37542i 0.102533 + 0.177593i 0.912728 0.408568i \(-0.133972\pi\)
−0.810195 + 0.586161i \(0.800639\pi\)
\(608\) 0.607447 1.05213i 0.0246352 0.0426695i
\(609\) 6.67841 + 8.35577i 0.270623 + 0.338593i
\(610\) 13.7496i 0.556706i
\(611\) 31.9000 16.1778i 1.29054 0.654483i
\(612\) 6.60989 + 6.10633i 0.267189 + 0.246834i
\(613\) −3.28773 12.2700i −0.132790 0.495579i 0.867207 0.497948i \(-0.165913\pi\)
−0.999997 + 0.00236831i \(0.999246\pi\)
\(614\) −6.46430 3.73217i −0.260878 0.150618i
\(615\) 4.90694 6.66385i 0.197867 0.268712i
\(616\) −2.21299 + 2.21299i −0.0891637 + 0.0891637i
\(617\) 1.98367 7.40316i 0.0798596 0.298040i −0.914432 0.404740i \(-0.867362\pi\)
0.994291 + 0.106700i \(0.0340286\pi\)
\(618\) −28.0755 + 4.26300i −1.12936 + 0.171483i
\(619\) 20.2426 + 20.2426i 0.813620 + 0.813620i 0.985175 0.171555i \(-0.0548791\pi\)
−0.171555 + 0.985175i \(0.554879\pi\)
\(620\) 0.00340978 0.00196864i 0.000136940 7.90623e-5i
\(621\) 11.9888 + 13.8395i 0.481094 + 0.555358i
\(622\) −16.7024 + 4.47539i −0.669705 + 0.179447i
\(623\) 5.92475 0.237370
\(624\) 3.62873 + 5.08255i 0.145266 + 0.203465i
\(625\) −1.00000 −0.0400000
\(626\) −3.58767 + 0.961314i −0.143392 + 0.0384218i
\(627\) −7.93222 0.884994i −0.316782 0.0353432i
\(628\) 3.78254 2.18385i 0.150940 0.0871450i
\(629\) −24.1313 24.1313i −0.962177 0.962177i
\(630\) 2.09305 1.32152i 0.0833890 0.0526506i
\(631\) −5.56480 + 20.7681i −0.221531 + 0.826766i 0.762233 + 0.647302i \(0.224103\pi\)
−0.983765 + 0.179464i \(0.942564\pi\)
\(632\) 4.17869 4.17869i 0.166219 0.166219i
\(633\) −8.49635 6.25630i −0.337699 0.248666i
\(634\) 14.5524 + 8.40182i 0.577949 + 0.333679i
\(635\) 0.204358 + 0.762676i 0.00810972 + 0.0302659i
\(636\) 7.78589 3.40705i 0.308731 0.135099i
\(637\) 15.2135 + 16.9608i 0.602780 + 0.672011i
\(638\) 28.3896i 1.12396i
\(639\) 8.23890 15.6713i 0.325926 0.619948i
\(640\) 0.500000 0.866025i 0.0197642 0.0342327i
\(641\) 17.0880 + 29.5973i 0.674936 + 1.16902i 0.976488 + 0.215573i \(0.0691620\pi\)
−0.301552 + 0.953450i \(0.597505\pi\)
\(642\) −0.493695 + 1.26196i −0.0194846 + 0.0498055i
\(643\) 29.1672 + 7.81533i 1.15024 + 0.308206i 0.783062 0.621943i \(-0.213657\pi\)
0.367180 + 0.930150i \(0.380323\pi\)
\(644\) −2.80844 0.752520i −0.110668 0.0296535i
\(645\) −2.48251 + 6.34565i −0.0977486 + 0.249860i
\(646\) −1.82209 3.15596i −0.0716893 0.124170i
\(647\) −16.6435 + 28.8275i −0.654325 + 1.13332i 0.327737 + 0.944769i \(0.393714\pi\)
−0.982063 + 0.188555i \(0.939619\pi\)
\(648\) 8.48191 3.00951i 0.333201 0.118225i
\(649\) 18.3511i 0.720343i
\(650\) −0.195522 + 3.60025i −0.00766901 + 0.141213i
\(651\) −0.00515493 + 0.00225576i −0.000202038 + 8.84104e-5i
\(652\) −1.31903 4.92267i −0.0516571 0.192787i
\(653\) 38.8066 + 22.4050i 1.51862 + 0.876776i 0.999760 + 0.0219166i \(0.00697684\pi\)
0.518860 + 0.854859i \(0.326356\pi\)
\(654\) −0.993487 0.731556i −0.0388484 0.0286061i
\(655\) 0.435297 0.435297i 0.0170085 0.0170085i
\(656\) −1.23661 + 4.61510i −0.0482816 + 0.180189i
\(657\) 19.2312 + 30.4588i 0.750281 + 1.18831i
\(658\) 5.78784 + 5.78784i 0.225634 + 0.225634i
\(659\) 15.8615 9.15765i 0.617877 0.356731i −0.158165 0.987413i \(-0.550558\pi\)
0.776042 + 0.630681i \(0.217225\pi\)
\(660\) −6.52914 0.728453i −0.254146 0.0283550i
\(661\) −46.0633 + 12.3426i −1.79165 + 0.480072i −0.992626 0.121221i \(-0.961319\pi\)
−0.799029 + 0.601293i \(0.794653\pi\)
\(662\) −19.4484 −0.755883
\(663\) 18.6454 1.80366i 0.724128 0.0700482i
\(664\) 7.58364 0.294302
\(665\) −0.968265 + 0.259446i −0.0375477 + 0.0100609i
\(666\) −32.5931 + 10.1315i −1.26296 + 0.392586i
\(667\) 22.8412 13.1874i 0.884415 0.510617i
\(668\) −6.51943 6.51943i −0.252244 0.252244i
\(669\) 14.2335 2.16122i 0.550298 0.0835574i
\(670\) 3.00389 11.2107i 0.116051 0.433106i
\(671\) 36.8772 36.8772i 1.42363 1.42363i
\(672\) −0.847394 + 1.15080i −0.0326889 + 0.0443931i
\(673\) 23.3095 + 13.4577i 0.898514 + 0.518757i 0.876718 0.481005i \(-0.159728\pi\)
0.0217965 + 0.999762i \(0.493061\pi\)
\(674\) 7.61297 + 28.4120i 0.293241 + 1.09439i
\(675\) 4.91015 + 1.70014i 0.188992 + 0.0654383i
\(676\) 12.9235 + 1.40786i 0.497059 + 0.0541483i
\(677\) 35.2263i 1.35385i 0.736050 + 0.676927i \(0.236689\pi\)
−0.736050 + 0.676927i \(0.763311\pi\)
\(678\) 6.76318 + 8.46183i 0.259738 + 0.324975i
\(679\) 3.27033 5.66437i 0.125504 0.217379i
\(680\) −1.49980 2.59772i −0.0575145 0.0996181i
\(681\) −32.9214 12.8793i −1.26155 0.493537i
\(682\) 0.0144252 + 0.00386521i 0.000552368 + 0.000148007i
\(683\) −25.9255 6.94671i −0.992010 0.265808i −0.273915 0.961754i \(-0.588319\pi\)
−0.718095 + 0.695945i \(0.754986\pi\)
\(684\) −3.64183 + 0.144216i −0.139249 + 0.00551425i
\(685\) −5.36308 9.28912i −0.204913 0.354919i
\(686\) −5.49490 + 9.51745i −0.209796 + 0.363378i
\(687\) 1.38806 1.10942i 0.0529579 0.0423270i
\(688\) 3.93404i 0.149984i
\(689\) 5.49884 16.8152i 0.209489 0.640609i
\(690\) −2.44679 5.59147i −0.0931477 0.212864i
\(691\) −3.82546 14.2768i −0.145527 0.543116i −0.999731 0.0231778i \(-0.992622\pi\)
0.854204 0.519938i \(-0.174045\pi\)
\(692\) 4.76186 + 2.74926i 0.181019 + 0.104511i
\(693\) 9.15803 + 2.06927i 0.347885 + 0.0786052i
\(694\) 14.9972 14.9972i 0.569285 0.569285i
\(695\) −5.99937 + 22.3900i −0.227569 + 0.849300i
\(696\) −1.94615 12.8171i −0.0737687 0.485831i
\(697\) 10.1341 + 10.1341i 0.383855 + 0.383855i
\(698\) −13.9214 + 8.03752i −0.526932 + 0.304225i
\(699\) −2.24352 + 20.1087i −0.0848576 + 0.760581i
\(700\) −0.796995 + 0.213554i −0.0301236 + 0.00807159i
\(701\) −19.3599 −0.731215 −0.365608 0.930769i \(-0.619139\pi\)
−0.365608 + 0.930769i \(0.619139\pi\)
\(702\) 7.08096 17.3453i 0.267253 0.654657i
\(703\) 13.8220 0.521308
\(704\) 3.66375 0.981698i 0.138083 0.0369991i
\(705\) −1.90520 + 17.0763i −0.0717538 + 0.643131i
\(706\) 28.2971 16.3373i 1.06498 0.614864i
\(707\) −8.97556 8.97556i −0.337561 0.337561i
\(708\) −1.25799 8.28497i −0.0472783 0.311368i
\(709\) 7.45717 27.8305i 0.280060 1.04520i −0.672314 0.740266i \(-0.734700\pi\)
0.952374 0.304932i \(-0.0986338\pi\)
\(710\) −4.17313 + 4.17313i −0.156615 + 0.156615i
\(711\) −17.2927 3.90732i −0.648528 0.146536i
\(712\) −6.21854 3.59028i −0.233050 0.134551i
\(713\) 0.00359089 + 0.0134014i 0.000134480 + 0.000501885i
\(714\) 1.71854 + 3.92726i 0.0643149 + 0.146974i
\(715\) −10.1804 + 9.13163i −0.380727 + 0.341504i
\(716\) 4.81015i 0.179764i
\(717\) −27.5301 + 22.0036i −1.02813 + 0.821740i
\(718\) 3.38314 5.85977i 0.126258 0.218685i
\(719\) 3.77091 + 6.53140i 0.140631 + 0.243580i 0.927734 0.373241i \(-0.121754\pi\)
−0.787103 + 0.616821i \(0.788420\pi\)
\(720\) −2.99765 + 0.118707i −0.111716 + 0.00442395i
\(721\) −13.0669 3.50126i −0.486637 0.130394i
\(722\) −16.9269 4.53555i −0.629955 0.168796i
\(723\) −29.0962 11.3829i −1.08210 0.423333i
\(724\) 4.84363 + 8.38941i 0.180012 + 0.311790i
\(725\) 3.74239 6.48200i 0.138989 0.240735i
\(726\) −3.66241 4.58227i −0.135925 0.170064i
\(727\) 18.8445i 0.698904i 0.936954 + 0.349452i \(0.113632\pi\)
−0.936954 + 0.349452i \(0.886368\pi\)
\(728\) 0.613018 + 2.91113i 0.0227199 + 0.107894i
\(729\) −21.2191 16.6958i −0.785891 0.618365i
\(730\) −3.10772 11.5982i −0.115022 0.429267i
\(731\) −10.2196 5.90026i −0.377984 0.218229i
\(732\) 14.1210 19.1769i 0.521926 0.708800i
\(733\) −26.3274 + 26.3274i −0.972424 + 0.972424i −0.999630 0.0272063i \(-0.991339\pi\)
0.0272063 + 0.999630i \(0.491339\pi\)
\(734\) 3.48622 13.0107i 0.128679 0.480235i
\(735\) −10.8211 + 1.64308i −0.399143 + 0.0606061i
\(736\) 2.49170 + 2.49170i 0.0918451 + 0.0918451i
\(737\) 38.1242 22.0110i 1.40432 0.810786i
\(738\) 13.6876 4.25477i 0.503849 0.156620i
\(739\) −22.7470 + 6.09505i −0.836763 + 0.224210i −0.651662 0.758509i \(-0.725928\pi\)
−0.185101 + 0.982719i \(0.559261\pi\)
\(740\) 11.3771 0.418232
\(741\) −4.82335 + 5.85646i −0.177190 + 0.215142i
\(742\) 4.04860 0.148629
\(743\) −40.3372 + 10.8083i −1.47983 + 0.396519i −0.906288 0.422660i \(-0.861097\pi\)
−0.573539 + 0.819178i \(0.694430\pi\)
\(744\) 0.00677750 0.000756163i 0.000248475 2.77223e-5i
\(745\) −4.00586 + 2.31278i −0.146763 + 0.0847338i
\(746\) −24.0925 24.0925i −0.882089 0.882089i
\(747\) −12.1462 19.2373i −0.444405 0.703857i
\(748\) 2.94469 10.9897i 0.107669 0.401825i
\(749\) −0.456462 + 0.456462i −0.0166788 + 0.0166788i
\(750\) −1.39472 1.02701i −0.0509281 0.0375010i
\(751\) −5.24153 3.02620i −0.191266 0.110428i 0.401309 0.915943i \(-0.368555\pi\)
−0.592575 + 0.805515i \(0.701889\pi\)
\(752\) −2.56753 9.58216i −0.0936283 0.349425i
\(753\) 46.7712 20.4668i 1.70444 0.745850i
\(754\) −22.6051 14.7409i −0.823228 0.536831i
\(755\) 7.44661i 0.271010i
\(756\) 4.27643 + 0.306419i 0.155532 + 0.0111444i
\(757\) −5.09098 + 8.81784i −0.185035 + 0.320490i −0.943588 0.331121i \(-0.892573\pi\)
0.758553 + 0.651611i \(0.225906\pi\)
\(758\) −11.9487 20.6958i −0.433997 0.751705i
\(759\) 8.43418 21.5590i 0.306141 0.782542i
\(760\) 1.17350 + 0.314438i 0.0425673 + 0.0114059i
\(761\) 47.4705 + 12.7197i 1.72080 + 0.461088i 0.978031 0.208457i \(-0.0668442\pi\)
0.742772 + 0.669545i \(0.233511\pi\)
\(762\) −0.498250 + 1.27360i −0.0180497 + 0.0461377i
\(763\) −0.293870 0.508999i −0.0106388 0.0184270i
\(764\) −2.62831 + 4.55237i −0.0950889 + 0.164699i
\(765\) −4.18750 + 7.96510i −0.151399 + 0.287979i
\(766\) 22.6973i 0.820086i
\(767\) −14.6119 9.52851i −0.527606 0.344055i
\(768\) 1.58678 0.694363i 0.0572579 0.0250557i
\(769\) −0.157880 0.589218i −0.00569331 0.0212477i 0.963021 0.269427i \(-0.0868344\pi\)
−0.968714 + 0.248180i \(0.920168\pi\)
\(770\) −2.71034 1.56482i −0.0976740 0.0563921i
\(771\) 18.0124 + 13.2634i 0.648700 + 0.477671i
\(772\) −0.124615 + 0.124615i −0.00448499 + 0.00448499i