Properties

Label 588.2.ba.b.187.4
Level $588$
Weight $2$
Character 588.187
Analytic conductor $4.695$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.ba (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(28\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 187.4
Character \(\chi\) \(=\) 588.187
Dual form 588.2.ba.b.283.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.30318 + 0.549285i) q^{2} +(-0.988831 - 0.149042i) q^{3} +(1.39657 - 1.43164i) q^{4} +(-2.67539 + 1.05002i) q^{5} +(1.37049 - 0.348920i) q^{6} +(-0.927902 - 2.47770i) q^{7} +(-1.03361 + 2.63280i) q^{8} +(0.955573 + 0.294755i) q^{9} +O(q^{10})\) \(q+(-1.30318 + 0.549285i) q^{2} +(-0.988831 - 0.149042i) q^{3} +(1.39657 - 1.43164i) q^{4} +(-2.67539 + 1.05002i) q^{5} +(1.37049 - 0.348920i) q^{6} +(-0.927902 - 2.47770i) q^{7} +(-1.03361 + 2.63280i) q^{8} +(0.955573 + 0.294755i) q^{9} +(2.90977 - 2.83792i) q^{10} +(-1.21319 - 3.93306i) q^{11} +(-1.59435 + 1.20750i) q^{12} +(4.15433 + 0.948198i) q^{13} +(2.57019 + 2.71921i) q^{14} +(2.80201 - 0.639540i) q^{15} +(-0.0991714 - 3.99877i) q^{16} +(-1.41274 + 2.07211i) q^{17} +(-1.40719 + 0.140762i) q^{18} +(-1.77717 + 3.07815i) q^{19} +(-2.23314 + 5.29662i) q^{20} +(0.548256 + 2.58832i) q^{21} +(3.74138 + 4.45911i) q^{22} +(-0.0806465 - 0.118287i) q^{23} +(1.41447 - 2.44934i) q^{24} +(2.38995 - 2.21755i) q^{25} +(-5.93468 + 1.04623i) q^{26} +(-0.900969 - 0.433884i) q^{27} +(-4.84305 - 2.13187i) q^{28} +(-1.88067 + 0.905681i) q^{29} +(-3.30024 + 2.37254i) q^{30} +(2.09249 + 3.62430i) q^{31} +(2.32570 + 5.15666i) q^{32} +(0.613446 + 4.06995i) q^{33} +(0.702881 - 3.47633i) q^{34} +(5.08413 + 5.65451i) q^{35} +(1.75651 - 0.956387i) q^{36} +(-0.213032 + 2.84272i) q^{37} +(0.625198 - 4.98757i) q^{38} +(-3.96660 - 1.55678i) q^{39} +(0.000840595 - 8.12909i) q^{40} +(5.74932 + 4.58493i) q^{41} +(-2.13620 - 3.07191i) q^{42} +(0.530190 - 0.422812i) q^{43} +(-7.32502 - 3.75596i) q^{44} +(-2.86603 + 0.214779i) q^{45} +(0.170070 + 0.109851i) q^{46} +(4.03381 + 3.74283i) q^{47} +(-0.497922 + 3.96889i) q^{48} +(-5.27800 + 4.59813i) q^{49} +(-1.89647 + 4.20263i) q^{50} +(1.70579 - 1.83841i) q^{51} +(7.15929 - 4.62326i) q^{52} +(0.987714 + 13.1801i) q^{53} +(1.41245 + 0.0705414i) q^{54} +(7.37553 + 9.24862i) q^{55} +(7.48238 + 0.118000i) q^{56} +(2.21610 - 2.77890i) q^{57} +(1.95338 - 2.21329i) q^{58} +(-0.259487 + 0.661162i) q^{59} +(2.99762 - 4.90463i) q^{60} +(-8.24273 - 0.617707i) q^{61} +(-4.71767 - 3.57376i) q^{62} +(-0.156363 - 2.64113i) q^{63} +(-5.86329 - 5.44259i) q^{64} +(-12.1101 + 1.82530i) q^{65} +(-3.03499 - 4.96693i) q^{66} +(-13.2691 + 7.66092i) q^{67} +(0.993515 + 4.91638i) q^{68} +(0.0621160 + 0.128985i) q^{69} +(-9.73149 - 4.57623i) q^{70} +(6.00357 - 12.4665i) q^{71} +(-1.76372 + 2.21117i) q^{72} +(8.63806 + 9.30962i) q^{73} +(-1.28384 - 3.82160i) q^{74} +(-2.69376 + 1.83657i) q^{75} +(1.92485 + 6.84313i) q^{76} +(-8.61922 + 6.65541i) q^{77} +(6.02433 - 0.150030i) q^{78} +(0.803099 + 0.463670i) q^{79} +(4.46409 + 10.5942i) q^{80} +(0.826239 + 0.563320i) q^{81} +(-10.0108 - 2.81699i) q^{82} +(3.42570 + 15.0090i) q^{83} +(4.47122 + 2.82988i) q^{84} +(1.60389 - 7.02711i) q^{85} +(-0.458690 + 0.842227i) q^{86} +(1.99465 - 0.615267i) q^{87} +(11.6089 + 0.871176i) q^{88} +(4.14664 - 13.4431i) q^{89} +(3.61699 - 1.85416i) q^{90} +(-1.50546 - 11.1730i) q^{91} +(-0.281972 - 0.0497394i) q^{92} +(-1.52895 - 3.89569i) q^{93} +(-7.31267 - 2.66188i) q^{94} +(1.52253 - 10.1013i) q^{95} +(-1.53117 - 5.44569i) q^{96} -1.93928i q^{97} +(4.35251 - 8.89132i) q^{98} -4.11592i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q + 28 q^{3} - 2 q^{7} - 6 q^{8} + 28 q^{9} + O(q^{10}) \) \( 336 q + 28 q^{3} - 2 q^{7} - 6 q^{8} + 28 q^{9} - 23 q^{10} - 6 q^{11} - 30 q^{14} - 12 q^{16} + 6 q^{19} + 25 q^{20} + 4 q^{21} + 6 q^{22} + 15 q^{24} - 26 q^{25} - 12 q^{26} - 56 q^{27} + 36 q^{28} - 13 q^{30} - 2 q^{31} - 25 q^{32} + 6 q^{33} + 68 q^{34} + 12 q^{35} + 16 q^{37} + 82 q^{38} - 8 q^{39} - 19 q^{40} - 9 q^{42} - 11 q^{44} + 10 q^{46} - 4 q^{47} - 8 q^{48} - 4 q^{49} - 114 q^{50} - 8 q^{52} - 4 q^{53} - 41 q^{56} - 12 q^{57} - 33 q^{58} + 10 q^{59} + 17 q^{60} + 2 q^{61} + 16 q^{62} + 12 q^{63} + 84 q^{64} - 4 q^{65} + 15 q^{66} - 42 q^{67} + 10 q^{68} - 38 q^{70} - 28 q^{71} + 33 q^{72} + 18 q^{73} + 2 q^{74} - 54 q^{75} - 7 q^{76} - 8 q^{77} - 6 q^{78} + 6 q^{79} - 14 q^{80} + 28 q^{81} - 87 q^{82} - 10 q^{83} - 14 q^{84} + 24 q^{85} + 126 q^{86} - 244 q^{88} - 20 q^{90} + 34 q^{91} + 14 q^{92} - 2 q^{93} - 184 q^{94} + 24 q^{95} - 20 q^{96} - 122 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.30318 + 0.549285i −0.921490 + 0.388403i
\(3\) −0.988831 0.149042i −0.570902 0.0860496i
\(4\) 1.39657 1.43164i 0.698286 0.715819i
\(5\) −2.67539 + 1.05002i −1.19647 + 0.469581i −0.878143 0.478399i \(-0.841217\pi\)
−0.318330 + 0.947980i \(0.603122\pi\)
\(6\) 1.37049 0.348920i 0.559502 0.142446i
\(7\) −0.927902 2.47770i −0.350714 0.936483i
\(8\) −1.03361 + 2.63280i −0.365437 + 0.930836i
\(9\) 0.955573 + 0.294755i 0.318524 + 0.0982517i
\(10\) 2.90977 2.83792i 0.920151 0.897428i
\(11\) −1.21319 3.93306i −0.365790 1.18586i −0.932263 0.361782i \(-0.882169\pi\)
0.566473 0.824080i \(-0.308308\pi\)
\(12\) −1.59435 + 1.20750i −0.460249 + 0.348575i
\(13\) 4.15433 + 0.948198i 1.15220 + 0.262983i 0.755616 0.655015i \(-0.227338\pi\)
0.396587 + 0.917997i \(0.370195\pi\)
\(14\) 2.57019 + 2.71921i 0.686912 + 0.726741i
\(15\) 2.80201 0.639540i 0.723476 0.165129i
\(16\) −0.0991714 3.99877i −0.0247929 0.999693i
\(17\) −1.41274 + 2.07211i −0.342640 + 0.502560i −0.958421 0.285357i \(-0.907888\pi\)
0.615782 + 0.787917i \(0.288840\pi\)
\(18\) −1.40719 + 0.140762i −0.331678 + 0.0331778i
\(19\) −1.77717 + 3.07815i −0.407711 + 0.706176i −0.994633 0.103467i \(-0.967006\pi\)
0.586922 + 0.809644i \(0.300340\pi\)
\(20\) −2.23314 + 5.29662i −0.499346 + 1.18436i
\(21\) 0.548256 + 2.58832i 0.119639 + 0.564818i
\(22\) 3.74138 + 4.45911i 0.797664 + 0.950686i
\(23\) −0.0806465 0.118287i −0.0168160 0.0246645i 0.817739 0.575590i \(-0.195227\pi\)
−0.834555 + 0.550925i \(0.814275\pi\)
\(24\) 1.41447 2.44934i 0.288727 0.499970i
\(25\) 2.38995 2.21755i 0.477989 0.443509i
\(26\) −5.93468 + 1.04623i −1.16389 + 0.205183i
\(27\) −0.900969 0.433884i −0.173392 0.0835010i
\(28\) −4.84305 2.13187i −0.915251 0.402885i
\(29\) −1.88067 + 0.905681i −0.349231 + 0.168181i −0.600273 0.799796i \(-0.704941\pi\)
0.251042 + 0.967976i \(0.419227\pi\)
\(30\) −3.30024 + 2.37254i −0.602539 + 0.433164i
\(31\) 2.09249 + 3.62430i 0.375823 + 0.650944i 0.990450 0.137874i \(-0.0440268\pi\)
−0.614627 + 0.788818i \(0.710694\pi\)
\(32\) 2.32570 + 5.15666i 0.411130 + 0.911577i
\(33\) 0.613446 + 4.06995i 0.106787 + 0.708487i
\(34\) 0.702881 3.47633i 0.120543 0.596186i
\(35\) 5.08413 + 5.65451i 0.859374 + 0.955787i
\(36\) 1.75651 0.956387i 0.292752 0.159398i
\(37\) −0.213032 + 2.84272i −0.0350223 + 0.467340i 0.951929 + 0.306319i \(0.0990975\pi\)
−0.986951 + 0.161020i \(0.948522\pi\)
\(38\) 0.625198 4.98757i 0.101420 0.809090i
\(39\) −3.96660 1.55678i −0.635165 0.249284i
\(40\) 0.000840595 8.12909i 0.000132910 1.28532i
\(41\) 5.74932 + 4.58493i 0.897893 + 0.716045i 0.959396 0.282061i \(-0.0910182\pi\)
−0.0615037 + 0.998107i \(0.519590\pi\)
\(42\) −2.13620 3.07191i −0.329624 0.474006i
\(43\) 0.530190 0.422812i 0.0808532 0.0644783i −0.582229 0.813025i \(-0.697819\pi\)
0.663082 + 0.748546i \(0.269248\pi\)
\(44\) −7.32502 3.75596i −1.10429 0.566232i
\(45\) −2.86603 + 0.214779i −0.427243 + 0.0320174i
\(46\) 0.170070 + 0.109851i 0.0250755 + 0.0161967i
\(47\) 4.03381 + 3.74283i 0.588392 + 0.545948i 0.917189 0.398453i \(-0.130453\pi\)
−0.328797 + 0.944401i \(0.606643\pi\)
\(48\) −0.497922 + 3.96889i −0.0718689 + 0.572860i
\(49\) −5.27800 + 4.59813i −0.753999 + 0.656875i
\(50\) −1.89647 + 4.20263i −0.268202 + 0.594342i
\(51\) 1.70579 1.83841i 0.238859 0.257429i
\(52\) 7.15929 4.62326i 0.992815 0.641131i
\(53\) 0.987714 + 13.1801i 0.135673 + 1.81043i 0.486168 + 0.873865i \(0.338394\pi\)
−0.350495 + 0.936564i \(0.613987\pi\)
\(54\) 1.41245 + 0.0705414i 0.192211 + 0.00959947i
\(55\) 7.37553 + 9.24862i 0.994516 + 1.24708i
\(56\) 7.48238 + 0.118000i 0.999876 + 0.0157685i
\(57\) 2.21610 2.77890i 0.293529 0.368074i
\(58\) 1.95338 2.21329i 0.256491 0.290619i
\(59\) −0.259487 + 0.661162i −0.0337823 + 0.0860759i −0.946769 0.321912i \(-0.895674\pi\)
0.912987 + 0.407988i \(0.133770\pi\)
\(60\) 2.99762 4.90463i 0.386991 0.633184i
\(61\) −8.24273 0.617707i −1.05537 0.0790893i −0.464277 0.885690i \(-0.653686\pi\)
−0.591096 + 0.806601i \(0.701305\pi\)
\(62\) −4.71767 3.57376i −0.599145 0.453867i
\(63\) −0.156363 2.64113i −0.0196999 0.332751i
\(64\) −5.86329 5.44259i −0.732911 0.680324i
\(65\) −12.1101 + 1.82530i −1.50207 + 0.226401i
\(66\) −3.03499 4.96693i −0.373582 0.611387i
\(67\) −13.2691 + 7.66092i −1.62108 + 0.935930i −0.634446 + 0.772967i \(0.718772\pi\)
−0.986632 + 0.162963i \(0.947895\pi\)
\(68\) 0.993515 + 4.91638i 0.120481 + 0.596199i
\(69\) 0.0621160 + 0.128985i 0.00747789 + 0.0155280i
\(70\) −9.73149 4.57623i −1.16314 0.546965i
\(71\) 6.00357 12.4665i 0.712493 1.47951i −0.158059 0.987430i \(-0.550524\pi\)
0.870552 0.492077i \(-0.163762\pi\)
\(72\) −1.76372 + 2.21117i −0.207857 + 0.260589i
\(73\) 8.63806 + 9.30962i 1.01101 + 1.08961i 0.995967 + 0.0897213i \(0.0285976\pi\)
0.0150417 + 0.999887i \(0.495212\pi\)
\(74\) −1.28384 3.82160i −0.149243 0.444251i
\(75\) −2.69376 + 1.83657i −0.311049 + 0.212069i
\(76\) 1.92485 + 6.84313i 0.220795 + 0.784960i
\(77\) −8.61922 + 6.65541i −0.982251 + 0.758454i
\(78\) 6.02433 0.150030i 0.682121 0.0169875i
\(79\) 0.803099 + 0.463670i 0.0903557 + 0.0521669i 0.544497 0.838763i \(-0.316721\pi\)
−0.454141 + 0.890930i \(0.650054\pi\)
\(80\) 4.46409 + 10.5942i 0.499101 + 1.18446i
\(81\) 0.826239 + 0.563320i 0.0918043 + 0.0625911i
\(82\) −10.0108 2.81699i −1.10551 0.311084i
\(83\) 3.42570 + 15.0090i 0.376020 + 1.64745i 0.709509 + 0.704697i \(0.248917\pi\)
−0.333489 + 0.942754i \(0.608226\pi\)
\(84\) 4.47122 + 2.82988i 0.487850 + 0.308765i
\(85\) 1.60389 7.02711i 0.173966 0.762197i
\(86\) −0.458690 + 0.842227i −0.0494618 + 0.0908197i
\(87\) 1.99465 0.615267i 0.213848 0.0659635i
\(88\) 11.6089 + 0.871176i 1.23752 + 0.0928677i
\(89\) 4.14664 13.4431i 0.439543 1.42496i −0.417008 0.908903i \(-0.636921\pi\)
0.856551 0.516062i \(-0.172603\pi\)
\(90\) 3.61699 1.85416i 0.381264 0.195446i
\(91\) −1.50546 11.1730i −0.157815 1.17125i
\(92\) −0.281972 0.0497394i −0.0293977 0.00518569i
\(93\) −1.52895 3.89569i −0.158544 0.403964i
\(94\) −7.31267 2.66188i −0.754244 0.274552i
\(95\) 1.52253 10.1013i 0.156208 1.03637i
\(96\) −1.53117 5.44569i −0.156274 0.555798i
\(97\) 1.93928i 0.196904i −0.995142 0.0984521i \(-0.968611\pi\)
0.995142 0.0984521i \(-0.0313891\pi\)
\(98\) 4.35251 8.89132i 0.439670 0.898159i
\(99\) 4.11592i 0.413665i
\(100\) 0.163011 6.51850i 0.0163011 0.651850i
\(101\) 0.392703 2.60541i 0.0390754 0.259248i −0.960760 0.277380i \(-0.910534\pi\)
0.999836 + 0.0181320i \(0.00577192\pi\)
\(102\) −1.21315 + 3.33275i −0.120120 + 0.329991i
\(103\) 4.20845 + 10.7230i 0.414671 + 1.05656i 0.973784 + 0.227473i \(0.0730463\pi\)
−0.559114 + 0.829091i \(0.688858\pi\)
\(104\) −6.79038 + 9.95745i −0.665852 + 0.976408i
\(105\) −4.18458 6.34911i −0.408373 0.619610i
\(106\) −8.52682 16.6336i −0.828198 1.61560i
\(107\) −2.68408 + 8.70158i −0.259480 + 0.841214i 0.728286 + 0.685273i \(0.240317\pi\)
−0.987766 + 0.155941i \(0.950159\pi\)
\(108\) −1.87943 + 0.683911i −0.180848 + 0.0658093i
\(109\) 17.3397 5.34858i 1.66084 0.512301i 0.684585 0.728933i \(-0.259983\pi\)
0.976253 + 0.216632i \(0.0695073\pi\)
\(110\) −14.6918 8.00138i −1.40081 0.762902i
\(111\) 0.634338 2.77921i 0.0602087 0.263791i
\(112\) −9.81573 + 3.95618i −0.927500 + 0.373824i
\(113\) −0.609792 2.67167i −0.0573644 0.251330i 0.938113 0.346330i \(-0.112572\pi\)
−0.995477 + 0.0949997i \(0.969715\pi\)
\(114\) −1.36157 + 4.83868i −0.127523 + 0.453184i
\(115\) 0.339964 + 0.231784i 0.0317018 + 0.0216139i
\(116\) −1.32988 + 3.95728i −0.123476 + 0.367424i
\(117\) 3.69028 + 2.13058i 0.341166 + 0.196972i
\(118\) −0.0250072 1.00415i −0.00230210 0.0924392i
\(119\) 6.44495 + 1.57763i 0.590808 + 0.144621i
\(120\) −1.21241 + 8.03817i −0.110677 + 0.733781i
\(121\) −4.90850 + 3.34656i −0.446228 + 0.304233i
\(122\) 11.0811 3.72262i 1.00323 0.337030i
\(123\) −5.00175 5.39061i −0.450993 0.486055i
\(124\) 8.11100 + 2.06591i 0.728390 + 0.185524i
\(125\) 2.16947 4.50494i 0.194043 0.402934i
\(126\) 1.65450 + 3.35598i 0.147395 + 0.298975i
\(127\) −5.93348 12.3210i −0.526512 1.09331i −0.979434 0.201763i \(-0.935333\pi\)
0.452923 0.891550i \(-0.350381\pi\)
\(128\) 10.6305 + 3.87208i 0.939610 + 0.342247i
\(129\) −0.587285 + 0.339069i −0.0517076 + 0.0298534i
\(130\) 14.7790 9.03059i 1.29621 0.792035i
\(131\) −1.97708 + 0.297996i −0.172738 + 0.0260361i −0.234842 0.972034i \(-0.575457\pi\)
0.0621036 + 0.998070i \(0.480219\pi\)
\(132\) 6.68341 + 4.80574i 0.581716 + 0.418286i
\(133\) 9.27578 + 1.54708i 0.804312 + 0.134148i
\(134\) 13.0840 17.2721i 1.13029 1.49208i
\(135\) 2.86603 + 0.214779i 0.246669 + 0.0184853i
\(136\) −3.99523 5.86122i −0.342588 0.502596i
\(137\) −1.39354 + 3.55068i −0.119058 + 0.303355i −0.977962 0.208781i \(-0.933050\pi\)
0.858904 + 0.512136i \(0.171146\pi\)
\(138\) −0.151798 0.133972i −0.0129219 0.0114045i
\(139\) −10.6582 + 13.3649i −0.904016 + 1.13360i 0.0865073 + 0.996251i \(0.472429\pi\)
−0.990523 + 0.137348i \(0.956142\pi\)
\(140\) 15.1956 + 0.618313i 1.28426 + 0.0522570i
\(141\) −3.43092 4.30223i −0.288935 0.362313i
\(142\) −0.976069 + 19.5439i −0.0819099 + 1.64008i
\(143\) −1.31066 17.4896i −0.109603 1.46255i
\(144\) 1.08389 3.85035i 0.0903244 0.320862i
\(145\) 4.08055 4.39778i 0.338871 0.365216i
\(146\) −16.3706 7.38738i −1.35484 0.611384i
\(147\) 5.90436 3.76012i 0.486983 0.310130i
\(148\) 3.77222 + 4.27504i 0.310075 + 0.351406i
\(149\) −9.68614 8.98743i −0.793520 0.736279i 0.175174 0.984537i \(-0.443951\pi\)
−0.968694 + 0.248259i \(0.920142\pi\)
\(150\) 2.50166 3.87303i 0.204260 0.316232i
\(151\) 23.6961 1.77577i 1.92836 0.144511i 0.945107 0.326762i \(-0.105957\pi\)
0.983252 + 0.182251i \(0.0583384\pi\)
\(152\) −6.26725 7.86056i −0.508341 0.637575i
\(153\) −1.96074 + 1.56364i −0.158517 + 0.126413i
\(154\) 7.57671 13.4076i 0.610549 1.08042i
\(155\) −9.40381 7.49929i −0.755333 0.602358i
\(156\) −7.76839 + 3.50459i −0.621969 + 0.280592i
\(157\) 12.6579 + 4.96787i 1.01021 + 0.396479i 0.811986 0.583677i \(-0.198387\pi\)
0.198226 + 0.980156i \(0.436482\pi\)
\(158\) −1.30127 0.163116i −0.103524 0.0129768i
\(159\) 0.987714 13.1801i 0.0783308 1.04525i
\(160\) −11.6367 11.3541i −0.919965 0.897618i
\(161\) −0.218247 + 0.309576i −0.0172003 + 0.0243980i
\(162\) −1.38616 0.280269i −0.108907 0.0220200i
\(163\) −0.871221 5.78017i −0.0682393 0.452738i −0.996691 0.0812847i \(-0.974098\pi\)
0.928452 0.371453i \(-0.121140\pi\)
\(164\) 14.5933 1.82776i 1.13954 0.142724i
\(165\) −5.91471 10.2446i −0.460460 0.797540i
\(166\) −12.7085 17.6778i −0.986373 1.37206i
\(167\) 11.3638 5.47252i 0.879358 0.423476i 0.0609680 0.998140i \(-0.480581\pi\)
0.818390 + 0.574663i \(0.194867\pi\)
\(168\) −7.38123 1.23187i −0.569474 0.0950411i
\(169\) 4.64675 + 2.23776i 0.357443 + 0.172135i
\(170\) 1.76972 + 10.0386i 0.135731 + 0.769926i
\(171\) −2.60552 + 2.41757i −0.199249 + 0.184876i
\(172\) 0.135135 1.34953i 0.0103039 0.102901i
\(173\) −12.9438 18.9851i −0.984099 1.44341i −0.894310 0.447448i \(-0.852333\pi\)
−0.0897890 0.995961i \(-0.528619\pi\)
\(174\) −2.26143 + 1.89743i −0.171439 + 0.143844i
\(175\) −7.71205 3.86390i −0.582976 0.292084i
\(176\) −15.6071 + 5.24131i −1.17643 + 0.395078i
\(177\) 0.355130 0.615102i 0.0266932 0.0462339i
\(178\) 1.98025 + 19.7965i 0.148426 + 1.48381i
\(179\) −11.2925 + 16.5630i −0.844040 + 1.23798i 0.125266 + 0.992123i \(0.460021\pi\)
−0.969306 + 0.245856i \(0.920931\pi\)
\(180\) −3.69513 + 4.40307i −0.275419 + 0.328186i
\(181\) −13.5612 + 3.09526i −1.00800 + 0.230069i −0.694479 0.719513i \(-0.744365\pi\)
−0.313519 + 0.949582i \(0.601508\pi\)
\(182\) 8.09905 + 13.7336i 0.600342 + 1.01800i
\(183\) 8.05860 + 1.83932i 0.595709 + 0.135967i
\(184\) 0.394783 0.0900636i 0.0291038 0.00663958i
\(185\) −2.41495 7.82908i −0.177551 0.575605i
\(186\) 4.13234 + 4.23697i 0.302998 + 0.310670i
\(187\) 9.86365 + 3.04253i 0.721301 + 0.222492i
\(188\) 10.9919 0.547822i 0.801665 0.0399540i
\(189\) −0.239023 + 2.63493i −0.0173864 + 0.191663i
\(190\) 3.56437 + 14.0002i 0.258587 + 1.01568i
\(191\) −0.507490 + 0.199175i −0.0367207 + 0.0144118i −0.383630 0.923487i \(-0.625326\pi\)
0.346910 + 0.937899i \(0.387231\pi\)
\(192\) 4.98662 + 6.25568i 0.359879 + 0.451465i
\(193\) −9.01835 1.35930i −0.649155 0.0978444i −0.183793 0.982965i \(-0.558838\pi\)
−0.465362 + 0.885121i \(0.654076\pi\)
\(194\) 1.06522 + 2.52724i 0.0764782 + 0.181445i
\(195\) 12.2469 0.877017
\(196\) −0.788254 + 13.9778i −0.0563039 + 0.998414i
\(197\) 11.5293 0.821432 0.410716 0.911763i \(-0.365279\pi\)
0.410716 + 0.911763i \(0.365279\pi\)
\(198\) 2.26081 + 5.36379i 0.160669 + 0.381188i
\(199\) 1.12543 + 0.169632i 0.0797798 + 0.0120249i 0.188811 0.982013i \(-0.439537\pi\)
−0.109031 + 0.994038i \(0.534775\pi\)
\(200\) 3.36808 + 8.58434i 0.238159 + 0.607004i
\(201\) 14.2627 5.59770i 1.00601 0.394831i
\(202\) 0.919350 + 3.61104i 0.0646852 + 0.254072i
\(203\) 3.98908 + 3.81934i 0.279979 + 0.268065i
\(204\) −0.249670 5.00955i −0.0174804 0.350738i
\(205\) −20.1959 6.22962i −1.41055 0.435096i
\(206\) −11.3743 11.6623i −0.792487 0.812553i
\(207\) −0.0421980 0.136803i −0.00293296 0.00950843i
\(208\) 3.37964 16.7062i 0.234336 1.15837i
\(209\) 14.2626 + 3.25534i 0.986564 + 0.225177i
\(210\) 8.94074 + 5.97552i 0.616970 + 0.412350i
\(211\) −11.6188 + 2.65192i −0.799873 + 0.182566i −0.602873 0.797838i \(-0.705977\pi\)
−0.197001 + 0.980403i \(0.563120\pi\)
\(212\) 20.2486 + 16.9930i 1.39068 + 1.16708i
\(213\) −7.79456 + 11.4325i −0.534074 + 0.783343i
\(214\) −1.28180 12.8141i −0.0876218 0.875953i
\(215\) −0.974508 + 1.68790i −0.0664609 + 0.115114i
\(216\) 2.07358 1.92360i 0.141089 0.130885i
\(217\) 7.03831 8.54757i 0.477791 0.580247i
\(218\) −19.6589 + 16.4946i −1.33147 + 1.11715i
\(219\) −7.15406 10.4931i −0.483426 0.709056i
\(220\) 23.5411 + 2.35728i 1.58714 + 0.158928i
\(221\) −7.83375 + 7.26866i −0.526955 + 0.488943i
\(222\) 0.699922 + 3.97026i 0.0469757 + 0.266466i
\(223\) 5.10130 + 2.45666i 0.341608 + 0.164510i 0.596820 0.802375i \(-0.296431\pi\)
−0.255211 + 0.966885i \(0.582145\pi\)
\(224\) 10.6186 10.5473i 0.709487 0.704719i
\(225\) 2.93740 1.41458i 0.195827 0.0943052i
\(226\) 2.26218 + 3.14673i 0.150478 + 0.209317i
\(227\) 0.863063 + 1.49487i 0.0572835 + 0.0992179i 0.893245 0.449570i \(-0.148423\pi\)
−0.835962 + 0.548788i \(0.815089\pi\)
\(228\) −0.883434 7.05358i −0.0585068 0.467135i
\(229\) 3.42237 + 22.7059i 0.226156 + 1.50045i 0.757244 + 0.653133i \(0.226546\pi\)
−0.531087 + 0.847317i \(0.678216\pi\)
\(230\) −0.570351 0.115319i −0.0376078 0.00760393i
\(231\) 9.51489 5.29645i 0.626034 0.348481i
\(232\) −0.440598 5.88754i −0.0289267 0.386536i
\(233\) −1.71738 + 22.9168i −0.112509 + 1.50133i 0.600187 + 0.799860i \(0.295093\pi\)
−0.712697 + 0.701472i \(0.752526\pi\)
\(234\) −5.97940 0.749525i −0.390886 0.0489980i
\(235\) −14.7221 5.77798i −0.960361 0.376914i
\(236\) 0.584152 + 1.29485i 0.0380250 + 0.0842876i
\(237\) −0.725023 0.578187i −0.0470953 0.0375573i
\(238\) −9.26552 + 1.48417i −0.600594 + 0.0962044i
\(239\) −6.13325 + 4.89111i −0.396727 + 0.316379i −0.801452 0.598059i \(-0.795939\pi\)
0.404725 + 0.914439i \(0.367367\pi\)
\(240\) −2.83525 11.1412i −0.183015 0.719159i
\(241\) −12.6967 + 0.951489i −0.817869 + 0.0612908i −0.477092 0.878853i \(-0.658309\pi\)
−0.340777 + 0.940144i \(0.610690\pi\)
\(242\) 4.55846 7.05735i 0.293029 0.453664i
\(243\) −0.733052 0.680173i −0.0470253 0.0436331i
\(244\) −12.3959 + 10.9379i −0.793566 + 0.700229i
\(245\) 9.29262 17.8438i 0.593684 1.14000i
\(246\) 9.47918 + 4.27756i 0.604371 + 0.272727i
\(247\) −10.3016 + 11.1025i −0.655478 + 0.706437i
\(248\) −11.7049 + 1.76299i −0.743262 + 0.111950i
\(249\) −1.15047 15.3519i −0.0729079 0.972889i
\(250\) −0.352715 + 7.06242i −0.0223076 + 0.446666i
\(251\) −1.60515 2.01279i −0.101316 0.127046i 0.728589 0.684952i \(-0.240177\pi\)
−0.829905 + 0.557905i \(0.811605\pi\)
\(252\) −3.99951 3.46467i −0.251945 0.218254i
\(253\) −0.367389 + 0.460692i −0.0230976 + 0.0289634i
\(254\) 14.5002 + 12.7974i 0.909821 + 0.802978i
\(255\) −2.63331 + 6.70957i −0.164904 + 0.420170i
\(256\) −15.9803 + 0.793128i −0.998771 + 0.0495705i
\(257\) −3.03096 0.227139i −0.189066 0.0141686i −0.0201396 0.999797i \(-0.506411\pi\)
−0.168927 + 0.985629i \(0.554030\pi\)
\(258\) 0.579094 0.764456i 0.0360528 0.0475929i
\(259\) 7.24107 2.10993i 0.449938 0.131105i
\(260\) −14.2994 + 19.8864i −0.886814 + 1.23330i
\(261\) −2.06407 + 0.311108i −0.127763 + 0.0192571i
\(262\) 2.41281 1.47432i 0.149064 0.0910839i
\(263\) −24.3576 + 14.0629i −1.50196 + 0.867155i −0.501959 + 0.864891i \(0.667387\pi\)
−0.999997 + 0.00226372i \(0.999279\pi\)
\(264\) −11.3494 2.59167i −0.698509 0.159506i
\(265\) −16.4819 34.2249i −1.01247 2.10242i
\(266\) −12.9378 + 3.07892i −0.793269 + 0.188781i
\(267\) −6.10392 + 12.6749i −0.373554 + 0.775692i
\(268\) −7.56360 + 29.6956i −0.462020 + 1.81395i
\(269\) 10.8483 + 11.6916i 0.661429 + 0.712851i 0.971281 0.237933i \(-0.0764700\pi\)
−0.309852 + 0.950785i \(0.600280\pi\)
\(270\) −3.85294 + 1.29437i −0.234482 + 0.0787729i
\(271\) −25.5515 + 17.4207i −1.55214 + 1.05823i −0.582771 + 0.812636i \(0.698032\pi\)
−0.969372 + 0.245597i \(0.921016\pi\)
\(272\) 8.42599 + 5.44373i 0.510901 + 0.330075i
\(273\) −0.176608 + 11.2726i −0.0106888 + 0.682248i
\(274\) −0.134298 5.39263i −0.00811323 0.325781i
\(275\) −11.6212 6.70950i −0.700784 0.404598i
\(276\) 0.271410 + 0.0912096i 0.0163369 + 0.00549017i
\(277\) 7.78210 + 5.30575i 0.467581 + 0.318792i 0.774089 0.633077i \(-0.218208\pi\)
−0.306508 + 0.951868i \(0.599161\pi\)
\(278\) 6.54841 23.2713i 0.392747 1.39572i
\(279\) 0.931247 + 4.08006i 0.0557523 + 0.244267i
\(280\) −20.1422 + 7.54092i −1.20373 + 0.450656i
\(281\) 4.56950 20.0203i 0.272594 1.19431i −0.634346 0.773050i \(-0.718730\pi\)
0.906939 0.421261i \(-0.138413\pi\)
\(282\) 6.83426 + 3.72205i 0.406974 + 0.221645i
\(283\) −6.06198 + 1.86987i −0.360347 + 0.111152i −0.469642 0.882857i \(-0.655617\pi\)
0.109295 + 0.994009i \(0.465141\pi\)
\(284\) −9.46315 26.0054i −0.561535 1.54313i
\(285\) −3.01105 + 9.76158i −0.178359 + 0.578226i
\(286\) 11.3148 + 22.0722i 0.669057 + 1.30515i
\(287\) 6.02527 18.4994i 0.355661 1.09199i
\(288\) 0.702427 + 5.61307i 0.0413909 + 0.330754i
\(289\) 3.91300 + 9.97015i 0.230176 + 0.586479i
\(290\) −2.90206 + 7.97250i −0.170415 + 0.468161i
\(291\) −0.289035 + 1.91762i −0.0169435 + 0.112413i
\(292\) 25.3917 + 0.634980i 1.48594 + 0.0371594i
\(293\) 23.3709i 1.36534i 0.730726 + 0.682670i \(0.239181\pi\)
−0.730726 + 0.682670i \(0.760819\pi\)
\(294\) −5.62908 + 8.14331i −0.328295 + 0.474927i
\(295\) 2.04133i 0.118851i
\(296\) −7.26412 3.49914i −0.422218 0.203383i
\(297\) −0.613446 + 4.06995i −0.0355957 + 0.236162i
\(298\) 17.5595 + 6.39181i 1.01719 + 0.370268i
\(299\) −0.222873 0.567870i −0.0128891 0.0328408i
\(300\) −1.13272 + 6.42140i −0.0653977 + 0.370740i
\(301\) −1.53957 0.921323i −0.0887391 0.0531042i
\(302\) −29.9049 + 15.3301i −1.72083 + 0.882145i
\(303\) −0.776633 + 2.51778i −0.0446164 + 0.144643i
\(304\) 12.4851 + 6.80124i 0.716068 + 0.390078i
\(305\) 22.7012 7.00238i 1.29986 0.400955i
\(306\) 1.69632 3.11471i 0.0969722 0.178056i
\(307\) −1.20464 + 5.27789i −0.0687527 + 0.301225i −0.997600 0.0692370i \(-0.977944\pi\)
0.928848 + 0.370462i \(0.120801\pi\)
\(308\) −2.50923 + 21.6344i −0.142977 + 1.23273i
\(309\) −2.56327 11.2304i −0.145819 0.638876i
\(310\) 16.3741 + 4.60758i 0.929989 + 0.261693i
\(311\) −19.7913 13.4935i −1.12226 0.765145i −0.147648 0.989040i \(-0.547170\pi\)
−0.974613 + 0.223895i \(0.928123\pi\)
\(312\) 8.19862 8.83418i 0.464155 0.500137i
\(313\) 3.09305 + 1.78578i 0.174830 + 0.100938i 0.584861 0.811133i \(-0.301149\pi\)
−0.410031 + 0.912071i \(0.634482\pi\)
\(314\) −19.2244 + 0.478763i −1.08489 + 0.0270181i
\(315\) 3.19156 + 6.90187i 0.179824 + 0.388876i
\(316\) 1.78539 0.502199i 0.100436 0.0282509i
\(317\) 17.7190 12.0806i 0.995197 0.678514i 0.0478937 0.998852i \(-0.484749\pi\)
0.947303 + 0.320339i \(0.103797\pi\)
\(318\) 5.95247 + 17.7187i 0.333798 + 0.993613i
\(319\) 5.84370 + 6.29801i 0.327184 + 0.352621i
\(320\) 21.4014 + 8.40455i 1.19638 + 0.469828i
\(321\) 3.95101 8.20435i 0.220524 0.457922i
\(322\) 0.114370 0.523314i 0.00637360 0.0291632i
\(323\) −3.86758 8.03112i −0.215198 0.446863i
\(324\) 1.96037 0.396157i 0.108910 0.0220087i
\(325\) 12.0313 6.94627i 0.667376 0.385310i
\(326\) 4.31032 + 7.05407i 0.238727 + 0.390689i
\(327\) −17.9432 + 2.70450i −0.992259 + 0.149559i
\(328\) −18.0138 + 10.3978i −0.994644 + 0.574121i
\(329\) 5.53063 13.4675i 0.304913 0.742490i
\(330\) 13.3352 + 10.1017i 0.734076 + 0.556081i
\(331\) −12.4387 0.932155i −0.683695 0.0512359i −0.271646 0.962397i \(-0.587568\pi\)
−0.412050 + 0.911161i \(0.635187\pi\)
\(332\) 26.2717 + 16.0568i 1.44185 + 0.881230i
\(333\) −1.04147 + 2.65363i −0.0570724 + 0.145418i
\(334\) −11.8031 + 13.3737i −0.645840 + 0.731774i
\(335\) 27.4560 34.4287i 1.50008 1.88104i
\(336\) 10.2957 2.44904i 0.561679 0.133606i
\(337\) 6.95615 + 8.72274i 0.378926 + 0.475158i 0.934323 0.356427i \(-0.116005\pi\)
−0.555397 + 0.831585i \(0.687434\pi\)
\(338\) −7.28474 0.363818i −0.396238 0.0197891i
\(339\) 0.204789 + 2.73272i 0.0111226 + 0.148421i
\(340\) −7.82032 12.1101i −0.424116 0.656760i
\(341\) 11.7160 12.6269i 0.634458 0.683783i
\(342\) 2.06753 4.58170i 0.111799 0.247750i
\(343\) 16.2902 + 8.81068i 0.879590 + 0.475732i
\(344\) 0.565170 + 1.83291i 0.0304719 + 0.0988238i
\(345\) −0.301621 0.279864i −0.0162388 0.0150674i
\(346\) 27.2964 + 17.6312i 1.46746 + 0.947859i
\(347\) 2.03847 0.152762i 0.109431 0.00820069i −0.0199022 0.999802i \(-0.506335\pi\)
0.129333 + 0.991601i \(0.458716\pi\)
\(348\) 1.90483 3.71487i 0.102109 0.199138i
\(349\) 13.1086 10.4538i 0.701687 0.559577i −0.206344 0.978480i \(-0.566157\pi\)
0.908031 + 0.418902i \(0.137585\pi\)
\(350\) 12.1726 + 0.799263i 0.650653 + 0.0427224i
\(351\) −3.33151 2.65679i −0.177823 0.141809i
\(352\) 17.4599 15.4031i 0.930617 0.820989i
\(353\) −18.3996 7.22129i −0.979309 0.384351i −0.178941 0.983860i \(-0.557267\pi\)
−0.800368 + 0.599509i \(0.795362\pi\)
\(354\) −0.124932 + 0.996658i −0.00664008 + 0.0529718i
\(355\) −2.97186 + 39.6568i −0.157730 + 2.10476i
\(356\) −13.4545 24.7107i −0.713089 1.30967i
\(357\) −6.13783 2.52058i −0.324848 0.133403i
\(358\) 5.61835 27.7875i 0.296939 1.46861i
\(359\) 1.68139 + 11.1553i 0.0887403 + 0.588754i 0.988366 + 0.152092i \(0.0486011\pi\)
−0.899626 + 0.436661i \(0.856161\pi\)
\(360\) 2.39690 7.76769i 0.126327 0.409393i
\(361\) 3.18332 + 5.51368i 0.167543 + 0.290194i
\(362\) 15.9726 11.4827i 0.839500 0.603515i
\(363\) 5.35246 2.57761i 0.280931 0.135289i
\(364\) −18.0982 13.4486i −0.948602 0.704901i
\(365\) −32.8855 15.8368i −1.72130 0.828936i
\(366\) −11.5121 + 2.02949i −0.601749 + 0.106083i
\(367\) −14.0298 + 13.0178i −0.732351 + 0.679522i −0.955410 0.295283i \(-0.904586\pi\)
0.223059 + 0.974805i \(0.428396\pi\)
\(368\) −0.465004 + 0.334218i −0.0242400 + 0.0174223i
\(369\) 4.14246 + 6.07587i 0.215648 + 0.316297i
\(370\) 7.44751 + 8.87622i 0.387178 + 0.461453i
\(371\) 31.7399 14.6771i 1.64785 0.761998i
\(372\) −7.71250 3.25172i −0.399875 0.168594i
\(373\) 17.0959 29.6109i 0.885190 1.53319i 0.0396947 0.999212i \(-0.487361\pi\)
0.845495 0.533983i \(-0.179305\pi\)
\(374\) −14.5254 + 1.45298i −0.751088 + 0.0751316i
\(375\) −2.81666 + 4.13128i −0.145452 + 0.213338i
\(376\) −14.0235 + 6.75159i −0.723208 + 0.348186i
\(377\) −8.67167 + 1.97925i −0.446614 + 0.101937i
\(378\) −1.13584 3.56509i −0.0584212 0.183368i
\(379\) 25.3759 + 5.79189i 1.30347 + 0.297509i 0.817229 0.576314i \(-0.195509\pi\)
0.486244 + 0.873823i \(0.338367\pi\)
\(380\) −12.3351 16.2869i −0.632778 0.835503i
\(381\) 4.03086 + 13.0677i 0.206507 + 0.669480i
\(382\) 0.551949 0.538319i 0.0282402 0.0275428i
\(383\) −8.16656 2.51905i −0.417292 0.128717i 0.0789973 0.996875i \(-0.474828\pi\)
−0.496289 + 0.868157i \(0.665304\pi\)
\(384\) −9.93464 5.41322i −0.506975 0.276242i
\(385\) 16.0715 26.8562i 0.819082 1.36872i
\(386\) 12.4992 3.18223i 0.636193 0.161971i
\(387\) 0.631261 0.247752i 0.0320888 0.0125939i
\(388\) −2.77635 2.70835i −0.140948 0.137495i
\(389\) 19.8996 + 2.99938i 1.00895 + 0.152074i 0.632661 0.774429i \(-0.281963\pi\)
0.376287 + 0.926503i \(0.377201\pi\)
\(390\) −15.9599 + 6.72702i −0.808162 + 0.340636i
\(391\) 0.359036 0.0181572
\(392\) −6.65055 18.6486i −0.335903 0.941896i
\(393\) 1.99941 0.100857
\(394\) −15.0249 + 6.33290i −0.756941 + 0.319047i
\(395\) −2.63547 0.397233i −0.132605 0.0199870i
\(396\) −5.89250 5.74818i −0.296109 0.288857i
\(397\) −6.66837 + 2.61714i −0.334676 + 0.131351i −0.526728 0.850034i \(-0.676581\pi\)
0.192052 + 0.981385i \(0.438486\pi\)
\(398\) −1.55982 + 0.397122i −0.0781868 + 0.0199059i
\(399\) −8.94159 2.91228i −0.447640 0.145796i
\(400\) −9.10447 9.33693i −0.455224 0.466846i
\(401\) 11.7544 + 3.62574i 0.586985 + 0.181061i 0.574001 0.818855i \(-0.305391\pi\)
0.0129846 + 0.999916i \(0.495867\pi\)
\(402\) −15.5122 + 15.1291i −0.773677 + 0.754571i
\(403\) 5.25634 + 17.0406i 0.261837 + 0.848854i
\(404\) −3.18157 4.20085i −0.158289 0.209000i
\(405\) −2.80201 0.639540i −0.139233 0.0317790i
\(406\) −7.29641 2.78616i −0.362115 0.138275i
\(407\) 11.4390 2.61088i 0.567011 0.129417i
\(408\) 3.07703 + 6.39122i 0.152336 + 0.316412i
\(409\) −16.5254 + 24.2383i −0.817129 + 1.19851i 0.160264 + 0.987074i \(0.448766\pi\)
−0.977392 + 0.211434i \(0.932187\pi\)
\(410\) 29.7408 2.97498i 1.46880 0.146924i
\(411\) 1.90717 3.30332i 0.0940739 0.162941i
\(412\) 21.2288 + 8.95041i 1.04587 + 0.440955i
\(413\) 1.87894 + 0.0294373i 0.0924565 + 0.00144852i
\(414\) 0.130135 + 0.155100i 0.00639580 + 0.00762275i
\(415\) −24.9248 36.5579i −1.22351 1.79456i
\(416\) 4.77220 + 23.6277i 0.233976 + 1.15844i
\(417\) 12.5311 11.6271i 0.613650 0.569384i
\(418\) −20.3749 + 3.59192i −0.996568 + 0.175686i
\(419\) −16.6493 8.01786i −0.813370 0.391698i −0.0195179 0.999810i \(-0.506213\pi\)
−0.793852 + 0.608111i \(0.791927\pi\)
\(420\) −14.9337 2.87619i −0.728689 0.140344i
\(421\) −22.7977 + 10.9788i −1.11109 + 0.535075i −0.897130 0.441767i \(-0.854352\pi\)
−0.213964 + 0.976842i \(0.568638\pi\)
\(422\) 13.6848 9.83799i 0.666166 0.478906i
\(423\) 2.75138 + 4.76553i 0.133777 + 0.231708i
\(424\) −35.7216 11.0227i −1.73479 0.535309i
\(425\) 1.21862 + 8.08504i 0.0591120 + 0.392182i
\(426\) 3.87803 19.1801i 0.187891 0.929279i
\(427\) 6.11795 + 20.9962i 0.296068 + 1.01608i
\(428\) 8.70900 + 15.9950i 0.420965 + 0.773149i
\(429\) −1.31066 + 17.4896i −0.0632793 + 0.844404i
\(430\) 0.342826 2.73492i 0.0165325 0.131890i
\(431\) −1.98869 0.780502i −0.0957917 0.0375955i 0.316961 0.948438i \(-0.397337\pi\)
−0.412753 + 0.910843i \(0.635433\pi\)
\(432\) −1.64565 + 3.64580i −0.0791764 + 0.175408i
\(433\) −16.7918 13.3910i −0.806963 0.643531i 0.130566 0.991440i \(-0.458321\pi\)
−0.937529 + 0.347908i \(0.886892\pi\)
\(434\) −4.47716 + 15.0051i −0.214910 + 0.720267i
\(435\) −4.69042 + 3.74049i −0.224889 + 0.179343i
\(436\) 16.5589 32.2938i 0.793026 1.54659i
\(437\) 0.507427 0.0380264i 0.0242735 0.00181905i
\(438\) 15.0867 + 9.74478i 0.720872 + 0.465624i
\(439\) 7.72380 + 7.16664i 0.368637 + 0.342045i 0.842639 0.538478i \(-0.181001\pi\)
−0.474002 + 0.880524i \(0.657191\pi\)
\(440\) −31.9732 + 9.85881i −1.52426 + 0.470000i
\(441\) −6.39883 + 2.83813i −0.304706 + 0.135149i
\(442\) 6.21625 13.7754i 0.295677 0.655227i
\(443\) 8.17189 8.80721i 0.388258 0.418443i −0.508431 0.861102i \(-0.669774\pi\)
0.896690 + 0.442659i \(0.145965\pi\)
\(444\) −3.09293 4.78952i −0.146784 0.227300i
\(445\) 3.02154 + 40.3196i 0.143235 + 1.91133i
\(446\) −7.99733 0.399406i −0.378685 0.0189124i
\(447\) 8.23845 + 10.3307i 0.389665 + 0.488625i
\(448\) −8.04456 + 19.5777i −0.380070 + 0.924958i
\(449\) −10.9082 + 13.6784i −0.514789 + 0.645524i −0.969493 0.245118i \(-0.921173\pi\)
0.454705 + 0.890642i \(0.349745\pi\)
\(450\) −3.05096 + 3.45692i −0.143824 + 0.162961i
\(451\) 11.0578 28.1748i 0.520691 1.32670i
\(452\) −4.67649 2.85818i −0.219963 0.134438i
\(453\) −23.6961 1.77577i −1.11334 0.0834332i
\(454\) −1.94584 1.47402i −0.0913227 0.0691792i
\(455\) 15.7595 + 28.3115i 0.738818 + 1.32726i
\(456\) 5.02570 + 8.70685i 0.235350 + 0.407735i
\(457\) −17.8452 + 2.68974i −0.834766 + 0.125821i −0.552497 0.833515i \(-0.686325\pi\)
−0.282268 + 0.959335i \(0.591087\pi\)
\(458\) −16.9320 27.7101i −0.791180 1.29481i
\(459\) 2.17189 1.25394i 0.101375 0.0585289i
\(460\) 0.806614 0.163003i 0.0376086 0.00760004i
\(461\) 3.36476 + 6.98699i 0.156712 + 0.325417i 0.964511 0.264041i \(-0.0850556\pi\)
−0.807799 + 0.589458i \(0.799341\pi\)
\(462\) −9.49039 + 12.1286i −0.441533 + 0.564275i
\(463\) 9.53941 19.8088i 0.443334 0.920592i −0.552847 0.833283i \(-0.686459\pi\)
0.996181 0.0873098i \(-0.0278270\pi\)
\(464\) 3.80812 + 7.43054i 0.176788 + 0.344954i
\(465\) 8.18107 + 8.81710i 0.379388 + 0.408883i
\(466\) −10.3498 30.8082i −0.479446 1.42716i
\(467\) −24.7068 + 16.8448i −1.14329 + 0.779484i −0.978378 0.206824i \(-0.933687\pi\)
−0.164915 + 0.986308i \(0.552735\pi\)
\(468\) 8.20396 2.30763i 0.379228 0.106670i
\(469\) 31.2939 + 25.7683i 1.44502 + 1.18987i
\(470\) 22.3593 0.556835i 1.03136 0.0256849i
\(471\) −11.7761 6.79895i −0.542615 0.313279i
\(472\) −1.47250 1.36656i −0.0677772 0.0629011i
\(473\) −2.30617 1.57232i −0.106038 0.0722952i
\(474\) 1.26243 + 0.355239i 0.0579852 + 0.0163167i
\(475\) 2.57860 + 11.2976i 0.118314 + 0.518368i
\(476\) 11.2594 7.02355i 0.516075 0.321924i
\(477\) −2.94108 + 12.8857i −0.134663 + 0.589996i
\(478\) 5.30614 9.74291i 0.242697 0.445630i
\(479\) 26.0234 8.02715i 1.18904 0.366770i 0.363759 0.931493i \(-0.381493\pi\)
0.825280 + 0.564723i \(0.191017\pi\)
\(480\) 9.81453 + 12.9616i 0.447970 + 0.591614i
\(481\) −3.58046 + 11.6076i −0.163255 + 0.529260i
\(482\) 16.0235 8.21409i 0.729852 0.374142i
\(483\) 0.261949 0.273591i 0.0119191 0.0124488i
\(484\) −2.06402 + 11.7009i −0.0938190 + 0.531860i
\(485\) 2.03627 + 5.18834i 0.0924625 + 0.235590i
\(486\) 1.32891 + 0.483735i 0.0602806 + 0.0219427i
\(487\) 2.78920 18.5051i 0.126391 0.838548i −0.832347 0.554255i \(-0.813003\pi\)
0.958738 0.284293i \(-0.0917588\pi\)
\(488\) 10.1461 21.0630i 0.459292 0.953477i
\(489\) 5.84546i 0.264341i
\(490\) −2.30867 + 28.3580i −0.104295 + 1.28108i
\(491\) 27.2493i 1.22974i −0.788627 0.614872i \(-0.789208\pi\)
0.788627 0.614872i \(-0.210792\pi\)
\(492\) −14.7027 0.367677i −0.662849 0.0165762i
\(493\) 0.780222 5.17644i 0.0351395 0.233135i
\(494\) 7.32648 20.1272i 0.329634 0.905564i
\(495\) 4.32178 + 11.0117i 0.194249 + 0.494939i
\(496\) 14.2852 8.72682i 0.641426 0.391846i
\(497\) −36.4591 3.30732i −1.63541 0.148354i
\(498\) 9.93185 + 19.3744i 0.445057 + 0.868189i
\(499\) 7.47292 24.2266i 0.334534 1.08453i −0.619541 0.784964i \(-0.712681\pi\)
0.954075 0.299568i \(-0.0968426\pi\)
\(500\) −3.41963 9.39736i −0.152930 0.420263i
\(501\) −12.0525 + 3.71771i −0.538467 + 0.166095i
\(502\) 3.19740 + 1.74135i 0.142707 + 0.0777204i
\(503\) −2.42338 + 10.6175i −0.108053 + 0.473412i 0.891729 + 0.452569i \(0.149492\pi\)
−0.999783 + 0.0208435i \(0.993365\pi\)
\(504\) 7.11518 + 2.31823i 0.316935 + 0.103262i
\(505\) 1.68509 + 7.38285i 0.0749854 + 0.328533i
\(506\) 0.225725 0.802167i 0.0100347 0.0356607i
\(507\) −4.26133 2.90533i −0.189252 0.129030i
\(508\) −25.9258 8.71258i −1.15027 0.386558i
\(509\) 14.9562 + 8.63495i 0.662920 + 0.382737i 0.793389 0.608715i \(-0.208315\pi\)
−0.130468 + 0.991452i \(0.541648\pi\)
\(510\) −0.253777 10.1902i −0.0112374 0.451231i
\(511\) 15.0512 30.0409i 0.665824 1.32893i
\(512\) 20.3896 9.81134i 0.901103 0.433604i
\(513\) 2.93674 2.00223i 0.129660 0.0884007i
\(514\) 4.07466 1.36886i 0.179726 0.0603777i
\(515\) −22.5185 24.2692i −0.992285 1.06943i
\(516\) −0.334762 + 1.31431i −0.0147371 + 0.0578594i
\(517\) 9.82700 20.4060i 0.432191 0.897453i
\(518\) −8.27749 + 6.72704i −0.363692 + 0.295569i
\(519\) 9.96965 + 20.7022i 0.437619 + 0.908726i
\(520\) 7.71148 33.7701i 0.338171 1.48092i
\(521\) −25.1685 + 14.5310i −1.10265 + 0.636616i −0.936916 0.349554i \(-0.886333\pi\)
−0.165735 + 0.986170i \(0.553000\pi\)
\(522\) 2.51897 1.53919i 0.110252 0.0673686i
\(523\) −2.23559 + 0.336961i −0.0977555 + 0.0147343i −0.197738 0.980255i \(-0.563359\pi\)
0.0999823 + 0.994989i \(0.468121\pi\)
\(524\) −2.33451 + 3.24663i −0.101983 + 0.141830i
\(525\) 7.05003 + 4.97017i 0.307688 + 0.216916i
\(526\) 24.0179 31.7058i 1.04723 1.38244i
\(527\) −10.4661 0.784326i −0.455910 0.0341658i
\(528\) 16.2139 2.85665i 0.705621 0.124320i
\(529\) 8.39536 21.3910i 0.365015 0.930044i
\(530\) 40.2781 + 35.5481i 1.74957 + 1.54411i
\(531\) −0.442839 + 0.555303i −0.0192176 + 0.0240981i
\(532\) 15.1691 11.1189i 0.657666 0.482067i
\(533\) 19.5371 + 24.4988i 0.846247 + 1.06116i
\(534\) 0.992383 19.8705i 0.0429446 0.859882i
\(535\) −1.95581 26.0985i −0.0845571 1.12834i
\(536\) −6.45457 42.8533i −0.278795 1.85098i
\(537\) 13.6349 14.6950i 0.588391 0.634135i
\(538\) −20.5593 9.27756i −0.886374 0.399984i
\(539\) 24.4879 + 15.1803i 1.05477 + 0.653861i
\(540\) 4.31011 3.80316i 0.185477 0.163662i
\(541\) −25.7150 23.8600i −1.10557 1.02582i −0.999505 0.0314630i \(-0.989983\pi\)
−0.106068 0.994359i \(-0.533826\pi\)
\(542\) 23.7293 36.7374i 1.01926 1.57801i
\(543\) 13.8711 1.03949i 0.595265 0.0446089i
\(544\) −13.9708 2.46591i −0.598992 0.105725i
\(545\) −40.7743 + 32.5165i −1.74658 + 1.39285i
\(546\) −5.96171 14.7873i −0.255138 0.632836i
\(547\) −1.12437 0.896654i −0.0480746 0.0383382i 0.599158 0.800631i \(-0.295502\pi\)
−0.647232 + 0.762293i \(0.724074\pi\)
\(548\) 3.13710 + 6.95382i 0.134010 + 0.297052i
\(549\) −7.69445 3.01985i −0.328391 0.128884i
\(550\) 18.8300 + 2.36036i 0.802913 + 0.100646i
\(551\) 0.554443 7.39853i 0.0236201 0.315188i
\(552\) −0.403797 + 0.0302184i −0.0171867 + 0.00128618i
\(553\) 0.403637 2.42008i 0.0171644 0.102912i
\(554\) −13.0559 2.63977i −0.554691 0.112153i
\(555\) 1.22111 + 8.10156i 0.0518334 + 0.343892i
\(556\) 4.24882 + 33.9238i 0.180190 + 1.43869i
\(557\) −14.6146 25.3133i −0.619241 1.07256i −0.989624 0.143678i \(-0.954107\pi\)
0.370383 0.928879i \(-0.379226\pi\)
\(558\) −3.45470 4.80554i −0.146249 0.203435i
\(559\) 2.60349 1.25378i 0.110116 0.0530290i
\(560\) 22.1069 20.8910i 0.934187 0.882807i
\(561\) −9.30001 4.47865i −0.392647 0.189089i
\(562\) 5.04195 + 28.6001i 0.212682 + 1.20642i
\(563\) −28.8114 + 26.7331i −1.21426 + 1.12666i −0.225957 + 0.974137i \(0.572551\pi\)
−0.988299 + 0.152528i \(0.951259\pi\)
\(564\) −10.9508 1.09655i −0.461110 0.0461731i
\(565\) 4.43673 + 6.50749i 0.186655 + 0.273772i
\(566\) 6.87278 5.76654i 0.288884 0.242386i
\(567\) 0.629070 2.56988i 0.0264184 0.107925i
\(568\) 26.6166 + 28.6918i 1.11681 + 1.20388i
\(569\) 0.983050 1.70269i 0.0412116 0.0713806i −0.844684 0.535266i \(-0.820212\pi\)
0.885895 + 0.463885i \(0.153545\pi\)
\(570\) −1.43794 14.3751i −0.0602287 0.602105i
\(571\) 5.20661 7.63670i 0.217890 0.319586i −0.701695 0.712478i \(-0.747573\pi\)
0.919585 + 0.392892i \(0.128525\pi\)
\(572\) −26.8691 22.5490i −1.12345 0.942823i
\(573\) 0.531508 0.121313i 0.0222041 0.00506793i
\(574\) 2.30943 + 27.4178i 0.0963939 + 1.14440i
\(575\) −0.455047 0.103862i −0.0189768 0.00433132i
\(576\) −3.99857 6.92903i −0.166607 0.288710i
\(577\) −8.08136 26.1991i −0.336431 1.09068i −0.952895 0.303300i \(-0.901911\pi\)
0.616464 0.787383i \(-0.288565\pi\)
\(578\) −10.5758 10.8436i −0.439895 0.451034i
\(579\) 8.71503 + 2.68823i 0.362184 + 0.111719i
\(580\) −0.597253 11.9837i −0.0247996 0.497595i
\(581\) 34.0091 22.4147i 1.41093 0.929920i
\(582\) −0.676655 2.65777i −0.0280482 0.110168i
\(583\) 50.6399 19.8747i 2.09729 0.823126i
\(584\) −33.4388 + 13.1198i −1.38371 + 0.542900i
\(585\) −12.1101 1.82530i −0.500690 0.0754669i
\(586\) −12.8373 30.4565i −0.530302 1.25815i
\(587\) −1.64453 −0.0678769 −0.0339384 0.999424i \(-0.510805\pi\)
−0.0339384 + 0.999424i \(0.510805\pi\)
\(588\) 2.86273 13.7042i 0.118057 0.565151i
\(589\) −14.8749 −0.612908
\(590\) 1.12127 + 2.66023i 0.0461621 + 0.109520i
\(591\) −11.4006 1.71836i −0.468957 0.0706839i
\(592\) 11.3885 + 0.569950i 0.468064 + 0.0234248i
\(593\) 37.5272 14.7283i 1.54106 0.604820i 0.565535 0.824724i \(-0.308670\pi\)
0.975521 + 0.219904i \(0.0705745\pi\)
\(594\) −1.43613 5.64084i −0.0589250 0.231447i
\(595\) −18.8993 + 2.54651i −0.774797 + 0.104397i
\(596\) −26.3941 + 1.31545i −1.08115 + 0.0538830i
\(597\) −1.08758 0.335474i −0.0445117 0.0137300i
\(598\) 0.602367 + 0.617619i 0.0246326 + 0.0252563i
\(599\) 9.62243 + 31.1952i 0.393162 + 1.27460i 0.908598 + 0.417671i \(0.137154\pi\)
−0.515436 + 0.856928i \(0.672370\pi\)
\(600\) −2.05103 8.99044i −0.0837330 0.367033i
\(601\) 34.2718 + 7.82231i 1.39797 + 0.319079i 0.854109 0.520094i \(-0.174103\pi\)
0.543865 + 0.839172i \(0.316960\pi\)
\(602\) 2.51241 + 0.354992i 0.102398 + 0.0144684i
\(603\) −14.9377 + 3.40943i −0.608310 + 0.138843i
\(604\) 30.5510 36.4042i 1.24310 1.48126i
\(605\) 9.61825 14.1074i 0.391037 0.573546i
\(606\) −0.370885 3.70772i −0.0150662 0.150616i
\(607\) 4.62803 8.01599i 0.187846 0.325359i −0.756686 0.653779i \(-0.773183\pi\)
0.944532 + 0.328420i \(0.106516\pi\)
\(608\) −20.0061 2.00540i −0.811356 0.0813297i
\(609\) −3.37528 4.37123i −0.136773 0.177131i
\(610\) −25.7375 + 21.5948i −1.04208 + 0.874347i
\(611\) 13.2088 + 19.3738i 0.534372 + 0.783779i
\(612\) −0.499753 + 4.99080i −0.0202013 + 0.201741i
\(613\) −13.6483 + 12.6638i −0.551251 + 0.511486i −0.905888 0.423518i \(-0.860795\pi\)
0.354637 + 0.935004i \(0.384604\pi\)
\(614\) −1.32919 7.53975i −0.0536419 0.304280i
\(615\) 19.0419 + 9.17009i 0.767843 + 0.369774i
\(616\) −8.61344 29.5718i −0.347045 1.19148i
\(617\) −12.9670 + 6.24457i −0.522031 + 0.251397i −0.676293 0.736633i \(-0.736414\pi\)
0.154261 + 0.988030i \(0.450700\pi\)
\(618\) 9.50911 + 13.2273i 0.382513 + 0.532081i
\(619\) −4.06071 7.03336i −0.163214 0.282695i 0.772806 0.634643i \(-0.218853\pi\)
−0.936020 + 0.351948i \(0.885519\pi\)
\(620\) −23.8694 + 2.98955i −0.958617 + 0.120063i
\(621\) 0.0213373 + 0.141564i 0.000856237 + 0.00568076i
\(622\) 33.2034 + 6.71341i 1.33134 + 0.269183i
\(623\) −37.1556 + 2.19973i −1.48861 + 0.0881303i
\(624\) −5.83182 + 16.0159i −0.233460 + 0.641150i
\(625\) −2.29212 + 30.5862i −0.0916848 + 1.22345i
\(626\) −5.01171 0.628225i −0.200308 0.0251089i
\(627\) −13.6181 5.34471i −0.543855 0.213447i
\(628\) 24.7899 11.1836i 0.989224 0.446273i
\(629\) −5.58946 4.45745i −0.222866 0.177730i
\(630\) −7.95028 7.24133i −0.316747 0.288502i
\(631\) 23.4814 18.7258i 0.934778 0.745461i −0.0324223 0.999474i \(-0.510322\pi\)
0.967201 + 0.254013i \(0.0817507\pi\)
\(632\) −2.05084 + 1.63515i −0.0815782 + 0.0650426i
\(633\) 11.8843 0.890606i 0.472359 0.0353984i
\(634\) −16.4554 + 25.4760i −0.653527 + 1.01178i
\(635\) 28.8117 + 26.7333i 1.14336 + 1.06088i
\(636\) −17.4897 19.8210i −0.693514 0.785956i
\(637\) −26.2865 + 14.0975i −1.04151 + 0.558565i
\(638\) −11.0748 4.99761i −0.438456 0.197857i
\(639\) 9.41143 10.1431i 0.372310 0.401255i
\(640\) −32.5065 + 0.802812i −1.28493 + 0.0317339i
\(641\) 1.89825 + 25.3304i 0.0749765 + 1.00049i 0.900141 + 0.435599i \(0.143463\pi\)
−0.825164 + 0.564893i \(0.808918\pi\)
\(642\) −0.642360 + 12.8620i −0.0253519 + 0.507623i
\(643\) 20.0258 + 25.1115i 0.789739 + 0.990302i 0.999920 + 0.0126392i \(0.00402329\pi\)
−0.210181 + 0.977663i \(0.567405\pi\)
\(644\) 0.138403 + 0.744796i 0.00545386 + 0.0293491i
\(645\) 1.21519 1.52380i 0.0478481 0.0599996i
\(646\) 9.45154 + 8.34162i 0.371866 + 0.328196i
\(647\) −4.12549 + 10.5116i −0.162190 + 0.413253i −0.988747 0.149601i \(-0.952201\pi\)
0.826557 + 0.562853i \(0.190296\pi\)
\(648\) −2.33712 + 1.59307i −0.0918108 + 0.0625816i
\(649\) 2.91519 + 0.218464i 0.114431 + 0.00857545i
\(650\) −11.8635 + 15.6609i −0.465324 + 0.614270i
\(651\) −8.23364 + 7.40309i −0.322702 + 0.290150i
\(652\) −9.49183 6.82516i −0.371729 0.267294i
\(653\) 23.5602 3.55113i 0.921983 0.138967i 0.329137 0.944282i \(-0.393242\pi\)
0.592846 + 0.805316i \(0.298004\pi\)
\(654\) 21.8977 13.3804i 0.856267 0.523213i
\(655\) 4.97656 2.87322i 0.194450 0.112266i
\(656\) 17.7639 23.4449i 0.693564 0.915369i
\(657\) 5.51024 + 11.4421i 0.214975 + 0.446400i
\(658\) 0.190101 + 20.5886i 0.00741093 + 0.802626i
\(659\) 13.8148 28.6868i 0.538150 1.11748i −0.437717 0.899113i \(-0.644213\pi\)
0.975867 0.218367i \(-0.0700730\pi\)
\(660\) −22.9269 5.83958i −0.892427 0.227305i
\(661\) −28.2128 30.4062i −1.09735 1.18266i −0.981910 0.189350i \(-0.939362\pi\)
−0.115443 0.993314i \(-0.536829\pi\)
\(662\) 16.7220 5.61765i 0.649918 0.218336i
\(663\) 8.82959 6.01992i 0.342913 0.233794i
\(664\) −43.0565 6.49428i −1.67092 0.252027i
\(665\) −26.4408 + 5.60067i −1.02533 + 0.217185i
\(666\) −0.100369 4.03023i −0.00388921 0.156168i
\(667\) 0.258799 + 0.149418i 0.0100207 + 0.00578548i
\(668\) 8.03571 23.9116i 0.310911 0.925169i
\(669\) −4.67818 3.18953i −0.180869 0.123314i
\(670\) −16.8690 + 59.9481i −0.651707 + 2.31600i
\(671\) 7.57050 + 33.1685i 0.292256 + 1.28046i
\(672\) −12.0720 + 8.84684i −0.465688 + 0.341274i
\(673\) −2.56749 + 11.2489i −0.0989695 + 0.433614i −1.00000 0.000142149i \(-0.999955\pi\)
0.901031 + 0.433756i \(0.142812\pi\)
\(674\) −13.8564 7.54641i −0.533729 0.290677i
\(675\) −3.11542 + 0.960981i −0.119913 + 0.0369882i
\(676\) 9.69319 3.52728i 0.372815 0.135664i
\(677\) 9.47494 30.7170i 0.364151 1.18055i −0.569386 0.822070i \(-0.692819\pi\)
0.933538 0.358480i \(-0.116705\pi\)
\(678\) −1.76792 3.44874i −0.0678965 0.132448i
\(679\) −4.80496 + 1.79946i −0.184397 + 0.0690570i
\(680\) 16.8432 + 11.4860i 0.645906 + 0.440469i
\(681\) −0.630625 1.60681i −0.0241656 0.0615729i
\(682\) −8.33237 + 22.8905i −0.319063 + 0.876524i
\(683\) −7.71238 + 51.1683i −0.295106 + 1.95790i −0.00811658 + 0.999967i \(0.502584\pi\)
−0.286989 + 0.957934i \(0.592654\pi\)
\(684\) −0.177714 + 7.10646i −0.00679508 + 0.271722i
\(685\) 10.9627i 0.418863i
\(686\) −26.0687 2.53395i −0.995309 0.0967466i
\(687\) 22.9624i 0.876070i
\(688\) −1.74331 2.07818i −0.0664630 0.0792297i
\(689\) −8.39408 + 55.6911i −0.319789 + 2.12166i
\(690\) 0.546793 + 0.199038i 0.0208160 + 0.00757723i
\(691\) −13.7562 35.0503i −0.523312 1.33338i −0.911311 0.411718i \(-0.864929\pi\)
0.387999 0.921660i \(-0.373166\pi\)
\(692\) −45.2567 7.98319i −1.72040 0.303475i
\(693\) −10.1980 + 3.81917i −0.387390 + 0.145078i
\(694\) −2.57258 + 1.31877i −0.0976540 + 0.0500600i
\(695\) 14.4815 46.9478i 0.549313 1.78083i
\(696\) −0.441816 + 5.88745i −0.0167470 + 0.223163i
\(697\) −17.6228 + 5.43590i −0.667510 + 0.205899i
\(698\) −11.3408 + 20.8235i −0.429256 + 0.788182i
\(699\) 5.11378 22.4049i 0.193421 0.847432i
\(700\) −16.3021 + 5.64464i −0.616163 + 0.213347i
\(701\) −2.53214 11.0940i −0.0956376 0.419016i 0.904332 0.426830i \(-0.140370\pi\)
−0.999969 + 0.00781440i \(0.997513\pi\)
\(702\) 5.80090 + 1.63234i 0.218941 + 0.0616086i
\(703\) −8.37172 5.70774i −0.315745 0.215271i
\(704\) −14.2928 + 29.6636i −0.538679 + 1.11799i
\(705\) 13.6965 + 7.90766i 0.515839 + 0.297820i
\(706\) 27.9445 0.695929i 1.05171 0.0261916i
\(707\) −6.81982 + 1.44457i −0.256486 + 0.0543286i
\(708\) −0.384640 1.36745i −0.0144556 0.0513920i
\(709\) −10.7522 + 7.33072i −0.403807 + 0.275311i −0.748146 0.663535i \(-0.769056\pi\)
0.344339 + 0.938845i \(0.388103\pi\)
\(710\) −17.9100 53.3124i −0.672150 2.00078i
\(711\) 0.630751 + 0.679788i 0.0236550 + 0.0254940i
\(712\) 31.1070 + 24.8122i 1.16578 + 0.929878i
\(713\) 0.259955 0.539801i 0.00973538 0.0202157i
\(714\) 9.38323 0.0866387i 0.351159 0.00324237i
\(715\) 21.8708 + 45.4153i 0.817923 + 1.69843i
\(716\) 7.94149 + 39.2982i 0.296787 + 1.46864i
\(717\) 6.79373 3.92236i 0.253717 0.146483i
\(718\) −8.31859 13.6138i −0.310447 0.508063i
\(719\) 15.4682 2.33146i 0.576866 0.0869486i 0.145872 0.989303i \(-0.453401\pi\)
0.430994 + 0.902355i \(0.358163\pi\)
\(720\) 1.14308 + 11.4393i 0.0426002 + 0.426318i
\(721\) 22.6632 20.3771i 0.844023 0.758884i
\(722\) −7.17703 5.43678i −0.267102 0.202336i
\(723\) 12.6967 + 0.951489i 0.472197 + 0.0353863i
\(724\) −14.5079 + 23.7375i −0.539183 + 0.882197i
\(725\) −2.48630 + 6.33499i −0.0923389 + 0.235276i
\(726\) −5.55939 + 6.29912i −0.206328 + 0.233782i
\(727\) −7.28065 + 9.12965i −0.270024 + 0.338600i −0.898293 0.439396i \(-0.855192\pi\)
0.628269 + 0.777996i \(0.283764\pi\)
\(728\) 30.9724 + 7.58499i 1.14791 + 0.281119i
\(729\) 0.623490 + 0.781831i 0.0230922 + 0.0289567i
\(730\) 51.5547 + 2.57477i 1.90812 + 0.0952965i
\(731\) 0.127093 + 1.69594i 0.00470070 + 0.0627264i
\(732\) 13.8877 8.96825i 0.513303 0.331476i
\(733\) −25.1100 + 27.0622i −0.927461 + 0.999565i 0.0725369 + 0.997366i \(0.476890\pi\)
−0.999998 + 0.00219913i \(0.999300\pi\)
\(734\) 11.1330 24.6709i 0.410925 0.910620i
\(735\) −11.8483 + 16.2595i −0.437031 + 0.599740i
\(736\) 0.422404 0.690966i 0.0155700 0.0254693i
\(737\) 46.2288 + 42.8940i 1.70286 + 1.58002i
\(738\) −8.73577 5.64259i −0.321568 0.207706i
\(739\) 4.27755 0.320558i 0.157352 0.0117919i 0.00417895 0.999991i \(-0.498670\pi\)
0.153173 + 0.988199i \(0.451051\pi\)
\(740\) −14.5810 7.47654i −0.536010 0.274843i
\(741\) 11.8413 9.44315i 0.435002 0.346903i
\(742\) −33.3010 + 36.5612i −1.22252 + 1.34220i
\(743\) −6.44394 5.13887i −0.236405 0.188527i 0.498120 0.867108i \(-0.334024\pi\)
−0.734525 + 0.678581i \(0.762595\pi\)
\(744\) 11.8369 + 0.00122401i 0.433963 + 4.48743e-5i
\(745\) 35.3512 + 13.8743i 1.29517 + 0.508316i
\(746\) −6.01422 + 47.9789i −0.220196 + 1.75663i
\(747\) −1.15047 + 15.3519i −0.0420934 + 0.561698i
\(748\) 18.1311 9.87205i 0.662939 0.360958i
\(749\) 24.0505 1.42386i 0.878786 0.0520269i
\(750\) 1.40137 6.93097i 0.0511709 0.253083i
\(751\) −0.886640 5.88247i −0.0323539 0.214654i 0.966812 0.255489i \(-0.0822364\pi\)
−0.999166 + 0.0408345i \(0.986998\pi\)
\(752\) 14.5667 16.5015i 0.531192 0.601746i
\(753\) 1.28723 + 2.22955i 0.0469093 + 0.0812492i
\(754\) 10.2136 7.34254i 0.371957 0.267400i
\(755\) −61.5317 + 29.6321i −2.23937 + 1.07842i
\(756\) 3.43845 + 4.02207i 0.125055 + 0.146281i
\(757\) −4.87083 2.34567i −0.177033 0.0852548i 0.343268 0.939238i \(-0.388466\pi\)
−0.520301 + 0.853983i \(0.674180\pi\)
\(758\) −36.2508 + 6.39071i −1.31669 + 0.232121i
\(759\) 0.431948 0.400789i 0.0156787 0.0145477i
\(760\) 25.0211 + 14.4494i 0.907610 + 0.524134i
\(761\) 27.9271 + 40.9616i 1.01236 + 1.48486i 0.868768 + 0.495219i \(0.164912\pi\)
0.143590 + 0.989637i \(0.454135\pi\)
\(762\) −12.4309 14.8156i −0.450322 0.536711i
\(763\) −29.3417 37.9995i −1.06224 1.37568i
\(764\) −0.423600 + 1.00470i −0.0153253 + 0.0363489i
\(765\) 3.60391 6.24216i 0.130300 0.225686i
\(766\) 12.0262 1.20298i 0.434524 0.0434656i
\(767\) −1.70490 + 2.50064i −0.0615605 + 0.0902927i
\(768\) 15.9201 + 1.59748i 0.574465 + 0.0576439i
\(769\) −21.1135 + 4.81901i −0.761371 + 0.173778i −0.585541 0.810643i \(-0.699118\pi\)
−0.175830 + 0.984421i \(0.556261\pi\)
\(770\) −6.19248 + 43.8263i −0.223161 + 1.57939i
\(771\) 2.96326 + 0.676344i 0.106719 + 0.0243579i
\(772\) −14.5408 + 11.0127i −0.523335 + 0.396354i