Properties

Label 547.2.o.a.4.15
Level 547
Weight 2
Character 547.4
Analytic conductor 4.368
Analytic rank 0
Dimension 6480
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 547 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 547.o (of order \(273\), degree \(144\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36781699056\)
Analytic rank: \(0\)
Dimension: \(6480\)
Relative dimension: \(45\) over \(\Q(\zeta_{273})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{273}]$

Embedding invariants

Embedding label 4.15
Character \(\chi\) \(=\) 547.4
Dual form 547.2.o.a.137.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.17840 - 0.0135612i) q^{2} +(0.739679 - 3.24075i) q^{3} +(-0.611031 - 0.0140656i) q^{4} +(1.18492 - 2.22646i) q^{5} +(-0.915585 + 3.80886i) q^{6} +(1.56661 + 3.86044i) q^{7} +(3.07540 + 0.106214i) q^{8} +(-7.25240 - 3.49257i) q^{9} +O(q^{10})\) \(q+(-1.17840 - 0.0135612i) q^{2} +(0.739679 - 3.24075i) q^{3} +(-0.611031 - 0.0140656i) q^{4} +(1.18492 - 2.22646i) q^{5} +(-0.915585 + 3.80886i) q^{6} +(1.56661 + 3.86044i) q^{7} +(3.07540 + 0.106214i) q^{8} +(-7.25240 - 3.49257i) q^{9} +(-1.42651 + 2.60758i) q^{10} +(-2.31834 - 2.41364i) q^{11} +(-0.497550 + 1.96979i) q^{12} +(-4.55119 - 0.685982i) q^{13} +(-1.79374 - 4.57038i) q^{14} +(-6.33892 - 5.48690i) q^{15} +(-2.40151 - 0.110621i) q^{16} +(0.601691 - 3.57241i) q^{17} +(8.49886 + 4.21400i) q^{18} +(1.13965 - 0.614961i) q^{19} +(-0.755341 + 1.34377i) q^{20} +(13.6695 - 2.22151i) q^{21} +(2.69919 + 2.87567i) q^{22} +(-3.31305 - 0.776264i) q^{23} +(2.61902 - 9.88801i) q^{24} +(-0.760283 - 1.12903i) q^{25} +(5.35382 + 0.870080i) q^{26} +(-10.4654 + 13.1232i) q^{27} +(-0.902950 - 2.38088i) q^{28} +(-4.28066 - 2.43871i) q^{29} +(7.39536 + 6.55172i) q^{30} +(5.70945 + 2.05330i) q^{31} +(-3.31584 - 0.190999i) q^{32} +(-9.53683 + 5.72782i) q^{33} +(-0.757478 + 4.20156i) q^{34} +(10.4514 + 1.08633i) q^{35} +(4.38232 + 2.23608i) q^{36} +(-4.50691 + 3.63676i) q^{37} +(-1.35130 + 0.709215i) q^{38} +(-5.58952 + 14.2419i) q^{39} +(3.88059 - 6.72138i) q^{40} +(-3.66236 - 6.34339i) q^{41} +(-16.1383 + 2.43245i) q^{42} +(-0.277303 + 2.82592i) q^{43} +(1.38263 + 1.50742i) q^{44} +(-16.3696 + 12.0087i) q^{45} +(3.89356 + 0.959677i) q^{46} +(4.27485 - 0.345102i) q^{47} +(-2.13484 + 7.70086i) q^{48} +(-7.42830 + 7.21761i) q^{49} +(0.880605 + 1.34076i) q^{50} +(-11.1322 - 4.59236i) q^{51} +(2.77127 + 0.483171i) q^{52} +(11.8473 - 4.10734i) q^{53} +(12.5104 - 15.3224i) q^{54} +(-8.12093 + 2.30169i) q^{55} +(4.40793 + 12.0388i) q^{56} +(-1.14996 - 4.14817i) q^{57} +(5.01125 + 2.93182i) q^{58} +(7.71787 - 3.28828i) q^{59} +(3.79610 + 3.44183i) q^{60} +(11.1704 - 5.22188i) q^{61} +(-6.70017 - 2.49704i) q^{62} +(2.12116 - 33.4690i) q^{63} +(8.70145 + 0.601757i) q^{64} +(-6.92013 + 9.32020i) q^{65} +(11.3159 - 6.62032i) q^{66} +(-2.48873 - 2.41815i) q^{67} +(-0.417899 + 2.17439i) q^{68} +(-4.96627 + 10.1626i) q^{69} +(-12.3012 - 1.42186i) q^{70} +(-7.65897 + 1.51774i) q^{71} +(-21.9331 - 11.5114i) q^{72} +(0.658924 - 0.570357i) q^{73} +(5.36025 - 4.22443i) q^{74} +(-4.22127 + 1.62876i) q^{75} +(-0.705008 + 0.359731i) q^{76} +(5.68579 - 12.7311i) q^{77} +(6.77981 - 16.7068i) q^{78} +(-5.16919 - 3.70138i) q^{79} +(-3.09190 + 5.21578i) q^{80} +(19.7314 + 24.7424i) q^{81} +(4.22969 + 7.52470i) q^{82} +(-0.664985 - 0.420511i) q^{83} +(-8.38374 + 1.16514i) q^{84} +(-7.24085 - 5.57267i) q^{85} +(0.365096 - 3.32630i) q^{86} +(-11.0695 + 12.0687i) q^{87} +(-6.87344 - 7.66915i) q^{88} +(1.29177 + 14.9299i) q^{89} +(19.4528 - 13.9291i) q^{90} +(-4.48177 - 18.6443i) q^{91} +(2.01346 + 0.520921i) q^{92} +(10.8774 - 16.9841i) q^{93} +(-5.04216 + 0.348695i) q^{94} +(-0.0187925 - 3.26605i) q^{95} +(-3.07163 + 10.6045i) q^{96} +(-0.513584 - 3.85816i) q^{97} +(8.85138 - 8.40448i) q^{98} +(8.38368 + 25.6017i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} + O(q^{10}) \) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} - 152q^{10} - 161q^{11} - 99q^{12} - 158q^{13} - 174q^{14} - 71q^{15} - 235q^{16} - 146q^{17} + 33q^{18} - 144q^{19} - 138q^{20} - 98q^{21} - 226q^{22} - 115q^{23} - 123q^{24} - 208q^{25} - 65q^{26} + 131q^{27} - 48q^{28} - 207q^{29} - 56q^{30} - 215q^{31} - 151q^{32} - 63q^{33} - 70q^{34} - 192q^{35} - 17q^{36} - 124q^{37} - 61q^{38} - 268q^{39} - 51q^{40} + 533q^{41} + 292q^{42} - 166q^{43} - 20q^{44} + 51q^{45} - 233q^{46} - 96q^{47} - 211q^{48} - 213q^{49} + 12q^{50} - 213q^{51} - 279q^{52} - 178q^{53} + 173q^{54} - 233q^{55} + 170q^{56} - 22q^{57} + 36q^{58} - 133q^{59} + 225q^{60} - 117q^{61} - 176q^{62} + 202q^{63} + 154q^{64} - 320q^{65} - 124q^{66} - 78q^{67} + 441q^{68} + 203q^{69} - 522q^{70} - 195q^{71} + 564q^{72} - 254q^{73} + 22q^{74} - 326q^{75} - 186q^{76} - 182q^{77} - 100q^{78} - 268q^{79} - 299q^{80} - 776q^{81} - 242q^{82} + 78q^{83} + 162q^{84} - 144q^{85} - 132q^{86} - 84q^{87} + 333q^{88} - 167q^{89} - 134q^{90} - 268q^{91} - 261q^{92} - 21q^{93} + 297q^{94} - 65q^{95} - 567q^{96} + 427q^{97} - 237q^{98} + 237q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{273}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.17840 0.0135612i −0.833254 0.00958923i −0.406166 0.913799i \(-0.633134\pi\)
−0.427088 + 0.904210i \(0.640460\pi\)
\(3\) 0.739679 3.24075i 0.427054 1.87105i −0.0608478 0.998147i \(-0.519380\pi\)
0.487902 0.872899i \(-0.337762\pi\)
\(4\) −0.611031 0.0140656i −0.305515 0.00703278i
\(5\) 1.18492 2.22646i 0.529914 0.995702i −0.464030 0.885819i \(-0.653597\pi\)
0.993945 0.109883i \(-0.0350475\pi\)
\(6\) −0.915585 + 3.80886i −0.373786 + 1.55496i
\(7\) 1.56661 + 3.86044i 0.592125 + 1.45911i 0.867334 + 0.497726i \(0.165831\pi\)
−0.275210 + 0.961384i \(0.588747\pi\)
\(8\) 3.07540 + 0.106214i 1.08732 + 0.0375524i
\(9\) −7.25240 3.49257i −2.41747 1.16419i
\(10\) −1.42651 + 2.60758i −0.451101 + 0.824591i
\(11\) −2.31834 2.41364i −0.699005 0.727741i 0.273178 0.961963i \(-0.411925\pi\)
−0.972183 + 0.234222i \(0.924746\pi\)
\(12\) −0.497550 + 1.96979i −0.143630 + 0.568630i
\(13\) −4.55119 0.685982i −1.26227 0.190257i −0.516402 0.856346i \(-0.672729\pi\)
−0.745872 + 0.666089i \(0.767967\pi\)
\(14\) −1.79374 4.57038i −0.479398 1.22149i
\(15\) −6.33892 5.48690i −1.63670 1.41671i
\(16\) −2.40151 0.110621i −0.600378 0.0276553i
\(17\) 0.601691 3.57241i 0.145931 0.866436i −0.812888 0.582420i \(-0.802106\pi\)
0.958820 0.284016i \(-0.0916669\pi\)
\(18\) 8.49886 + 4.21400i 2.00320 + 0.993248i
\(19\) 1.13965 0.614961i 0.261453 0.141082i −0.338887 0.940827i \(-0.610050\pi\)
0.600340 + 0.799745i \(0.295032\pi\)
\(20\) −0.755341 + 1.34377i −0.168899 + 0.300476i
\(21\) 13.6695 2.22151i 2.98293 0.484773i
\(22\) 2.69919 + 2.87567i 0.575470 + 0.613096i
\(23\) −3.31305 0.776264i −0.690818 0.161862i −0.132121 0.991234i \(-0.542179\pi\)
−0.558698 + 0.829371i \(0.688699\pi\)
\(24\) 2.61902 9.88801i 0.534605 2.01838i
\(25\) −0.760283 1.12903i −0.152057 0.225807i
\(26\) 5.35382 + 0.870080i 1.04997 + 0.170637i
\(27\) −10.4654 + 13.1232i −2.01407 + 2.52556i
\(28\) −0.902950 2.38088i −0.170642 0.449945i
\(29\) −4.28066 2.43871i −0.794898 0.452856i 0.0427373 0.999086i \(-0.486392\pi\)
−0.837635 + 0.546230i \(0.816062\pi\)
\(30\) 7.39536 + 6.55172i 1.35020 + 1.19618i
\(31\) 5.70945 + 2.05330i 1.02545 + 0.368784i 0.796490 0.604652i \(-0.206688\pi\)
0.228958 + 0.973436i \(0.426468\pi\)
\(32\) −3.31584 0.190999i −0.586163 0.0337641i
\(33\) −9.53683 + 5.72782i −1.66015 + 0.997085i
\(34\) −0.757478 + 4.20156i −0.129906 + 0.720562i
\(35\) 10.4514 + 1.08633i 1.76661 + 0.183623i
\(36\) 4.38232 + 2.23608i 0.730386 + 0.372680i
\(37\) −4.50691 + 3.63676i −0.740931 + 0.597880i −0.922726 0.385457i \(-0.874044\pi\)
0.181795 + 0.983337i \(0.441809\pi\)
\(38\) −1.35130 + 0.709215i −0.219209 + 0.115050i
\(39\) −5.58952 + 14.2419i −0.895039 + 2.28052i
\(40\) 3.88059 6.72138i 0.613575 1.06274i
\(41\) −3.66236 6.34339i −0.571964 0.990671i −0.996364 0.0851959i \(-0.972848\pi\)
0.424400 0.905475i \(-0.360485\pi\)
\(42\) −16.1383 + 2.43245i −2.49019 + 0.375335i
\(43\) −0.277303 + 2.82592i −0.0422883 + 0.430949i 0.950470 + 0.310817i \(0.100603\pi\)
−0.992758 + 0.120132i \(0.961668\pi\)
\(44\) 1.38263 + 1.50742i 0.208439 + 0.227252i
\(45\) −16.3696 + 12.0087i −2.44024 + 1.79016i
\(46\) 3.89356 + 0.959677i 0.574075 + 0.141497i
\(47\) 4.27485 0.345102i 0.623551 0.0503382i 0.235347 0.971912i \(-0.424377\pi\)
0.388204 + 0.921573i \(0.373095\pi\)
\(48\) −2.13484 + 7.70086i −0.308138 + 1.11152i
\(49\) −7.42830 + 7.21761i −1.06119 + 1.03109i
\(50\) 0.880605 + 1.34076i 0.124536 + 0.189612i
\(51\) −11.1322 4.59236i −1.55882 0.643059i
\(52\) 2.77127 + 0.483171i 0.384306 + 0.0670038i
\(53\) 11.8473 4.10734i 1.62736 0.564186i 0.647183 0.762335i \(-0.275947\pi\)
0.980172 + 0.198148i \(0.0634928\pi\)
\(54\) 12.5104 15.3224i 1.70245 2.08512i
\(55\) −8.12093 + 2.30169i −1.09503 + 0.310360i
\(56\) 4.40793 + 12.0388i 0.589034 + 1.60875i
\(57\) −1.14996 4.14817i −0.152316 0.549439i
\(58\) 5.01125 + 2.93182i 0.658009 + 0.384967i
\(59\) 7.71787 3.28828i 1.00478 0.428097i 0.174029 0.984740i \(-0.444321\pi\)
0.830752 + 0.556643i \(0.187911\pi\)
\(60\) 3.79610 + 3.44183i 0.490074 + 0.444338i
\(61\) 11.1704 5.22188i 1.43022 0.668593i 0.455134 0.890423i \(-0.349591\pi\)
0.975085 + 0.221830i \(0.0712031\pi\)
\(62\) −6.70017 2.49704i −0.850922 0.317124i
\(63\) 2.12116 33.4690i 0.267241 4.21670i
\(64\) 8.70145 + 0.601757i 1.08768 + 0.0752196i
\(65\) −6.92013 + 9.32020i −0.858336 + 1.15603i
\(66\) 11.3159 6.62032i 1.39289 0.814905i
\(67\) −2.48873 2.41815i −0.304047 0.295424i 0.529004 0.848619i \(-0.322566\pi\)
−0.833051 + 0.553196i \(0.813408\pi\)
\(68\) −0.417899 + 2.17439i −0.0506778 + 0.263683i
\(69\) −4.96627 + 10.1626i −0.597868 + 1.22343i
\(70\) −12.3012 1.42186i −1.47028 0.169945i
\(71\) −7.65897 + 1.51774i −0.908952 + 0.180122i −0.626739 0.779229i \(-0.715611\pi\)
−0.282213 + 0.959352i \(0.591069\pi\)
\(72\) −21.9331 11.5114i −2.58484 1.35663i
\(73\) 0.658924 0.570357i 0.0771212 0.0667553i −0.615053 0.788486i \(-0.710865\pi\)
0.692174 + 0.721730i \(0.256653\pi\)
\(74\) 5.36025 4.22443i 0.623117 0.491080i
\(75\) −4.22127 + 1.62876i −0.487431 + 0.188073i
\(76\) −0.705008 + 0.359731i −0.0808700 + 0.0412639i
\(77\) 5.68579 12.7311i 0.647956 1.45084i
\(78\) 6.77981 16.7068i 0.767663 1.89167i
\(79\) −5.16919 3.70138i −0.581579 0.416437i 0.252887 0.967496i \(-0.418620\pi\)
−0.834467 + 0.551058i \(0.814224\pi\)
\(80\) −3.09190 + 5.21578i −0.345685 + 0.583142i
\(81\) 19.7314 + 24.7424i 2.19238 + 2.74916i
\(82\) 4.22969 + 7.52470i 0.467091 + 0.830965i
\(83\) −0.664985 0.420511i −0.0729916 0.0461571i 0.497472 0.867480i \(-0.334262\pi\)
−0.570463 + 0.821323i \(0.693236\pi\)
\(84\) −8.38374 + 1.16514i −0.914741 + 0.127127i
\(85\) −7.24085 5.57267i −0.785381 0.604441i
\(86\) 0.365096 3.32630i 0.0393694 0.358685i
\(87\) −11.0695 + 12.0687i −1.18678 + 1.29390i
\(88\) −6.87344 7.66915i −0.732711 0.817534i
\(89\) 1.29177 + 14.9299i 0.136927 + 1.58256i 0.673808 + 0.738907i \(0.264658\pi\)
−0.536880 + 0.843658i \(0.680397\pi\)
\(90\) 19.4528 13.9291i 2.05050 1.46825i
\(91\) −4.48177 18.6443i −0.469817 1.95445i
\(92\) 2.01346 + 0.520921i 0.209917 + 0.0543098i
\(93\) 10.8774 16.9841i 1.12793 1.76117i
\(94\) −5.04216 + 0.348695i −0.520059 + 0.0359652i
\(95\) −0.0187925 3.26605i −0.00192807 0.335090i
\(96\) −3.07163 + 10.6045i −0.313497 + 1.08232i
\(97\) −0.513584 3.85816i −0.0521465 0.391737i −0.997785 0.0665180i \(-0.978811\pi\)
0.945639 0.325219i \(-0.105438\pi\)
\(98\) 8.85138 8.40448i 0.894124 0.848981i
\(99\) 8.38368 + 25.6017i 0.842592 + 2.57307i
\(100\) 0.448676 + 0.700568i 0.0448676 + 0.0700568i
\(101\) 2.02328 + 2.72500i 0.201324 + 0.271148i 0.892019 0.451998i \(-0.149289\pi\)
−0.690695 + 0.723146i \(0.742695\pi\)
\(102\) 13.0559 + 5.56260i 1.29273 + 0.550779i
\(103\) −5.86165 12.7293i −0.577565 1.25426i −0.945867 0.324553i \(-0.894786\pi\)
0.368302 0.929706i \(-0.379939\pi\)
\(104\) −13.9239 2.59307i −1.36535 0.254271i
\(105\) 11.2512 33.0669i 1.09801 3.22700i
\(106\) −14.0166 + 4.67942i −1.36141 + 0.454505i
\(107\) 14.1920 3.49802i 1.37200 0.338167i 0.516638 0.856204i \(-0.327183\pi\)
0.855358 + 0.518038i \(0.173337\pi\)
\(108\) 6.57926 7.87147i 0.633090 0.757432i
\(109\) −8.47721 16.3803i −0.811969 1.56895i −0.822334 0.569004i \(-0.807329\pi\)
0.0103652 0.999946i \(-0.496701\pi\)
\(110\) 9.60090 2.60218i 0.915410 0.248108i
\(111\) 8.45215 + 17.2958i 0.802242 + 1.64164i
\(112\) −3.33520 9.44420i −0.315146 0.892393i
\(113\) 0.0629601 + 2.18785i 0.00592279 + 0.205816i 0.997236 + 0.0742956i \(0.0236708\pi\)
−0.991313 + 0.131520i \(0.958014\pi\)
\(114\) 1.29886 + 4.90380i 0.121649 + 0.459283i
\(115\) −5.65403 + 6.45654i −0.527241 + 0.602076i
\(116\) 2.58131 + 1.55033i 0.239669 + 0.143945i
\(117\) 30.6112 + 20.8704i 2.83001 + 1.92947i
\(118\) −9.13932 + 3.77024i −0.841343 + 0.347078i
\(119\) 14.7337 3.27379i 1.35063 0.300108i
\(120\) −18.9119 17.5477i −1.72641 1.60188i
\(121\) −0.00806765 + 0.200197i −0.000733423 + 0.0181997i
\(122\) −13.2340 + 6.00197i −1.19815 + 0.543393i
\(123\) −23.2663 + 7.17670i −2.09785 + 0.647101i
\(124\) −3.45977 1.33494i −0.310697 0.119881i
\(125\) 9.12847 0.948821i 0.816475 0.0848652i
\(126\) −2.95345 + 39.4111i −0.263114 + 3.51102i
\(127\) 2.87289 7.84635i 0.254928 0.696251i −0.744657 0.667447i \(-0.767387\pi\)
0.999585 0.0288039i \(-0.00916984\pi\)
\(128\) −3.62449 0.292599i −0.320362 0.0258623i
\(129\) 8.95298 + 2.98895i 0.788266 + 0.263162i
\(130\) 8.28106 10.8891i 0.726297 0.955034i
\(131\) −7.11629 1.49550i −0.621753 0.130663i −0.115869 0.993264i \(-0.536965\pi\)
−0.505884 + 0.862602i \(0.668834\pi\)
\(132\) 5.90786 3.36573i 0.514214 0.292949i
\(133\) 4.15941 + 3.43613i 0.360666 + 0.297950i
\(134\) 2.89993 + 2.88329i 0.250516 + 0.249078i
\(135\) 16.8175 + 38.8507i 1.44742 + 3.34374i
\(136\) 2.22988 10.9227i 0.191210 0.936610i
\(137\) −20.4433 + 0.470592i −1.74659 + 0.0402054i −0.884497 0.466546i \(-0.845498\pi\)
−0.862092 + 0.506752i \(0.830846\pi\)
\(138\) 5.99006 11.9082i 0.509908 1.01369i
\(139\) 2.19667 + 0.996250i 0.186319 + 0.0845008i 0.504027 0.863688i \(-0.331851\pi\)
−0.317708 + 0.948188i \(0.602913\pi\)
\(140\) −6.37086 0.810787i −0.538436 0.0685240i
\(141\) 2.04363 14.1090i 0.172105 1.18819i
\(142\) 9.04590 1.68463i 0.759115 0.141371i
\(143\) 8.89548 + 12.5753i 0.743877 + 1.05160i
\(144\) 17.0304 + 9.18973i 1.41920 + 0.765810i
\(145\) −10.5019 + 6.64102i −0.872138 + 0.551506i
\(146\) −0.784209 + 0.663173i −0.0649016 + 0.0548846i
\(147\) 17.8959 + 29.4119i 1.47603 + 2.42586i
\(148\) 2.80501 2.15878i 0.230571 0.177451i
\(149\) −5.13209 + 5.22145i −0.420437 + 0.427758i −0.890576 0.454835i \(-0.849698\pi\)
0.470139 + 0.882592i \(0.344204\pi\)
\(150\) 4.99643 1.86208i 0.407957 0.152039i
\(151\) −2.88844 9.55903i −0.235058 0.777903i −0.992200 0.124653i \(-0.960218\pi\)
0.757142 0.653250i \(-0.226595\pi\)
\(152\) 3.57018 1.77020i 0.289580 0.143582i
\(153\) −16.8406 + 23.8071i −1.36148 + 1.92469i
\(154\) −6.87278 + 14.9251i −0.553824 + 1.20270i
\(155\) 11.3369 10.2788i 0.910599 0.825617i
\(156\) 3.61569 8.62359i 0.289487 0.690440i
\(157\) 9.79456 + 11.7183i 0.781691 + 0.935220i 0.999165 0.0408464i \(-0.0130054\pi\)
−0.217475 + 0.976066i \(0.569782\pi\)
\(158\) 6.04117 + 4.43180i 0.480610 + 0.352575i
\(159\) −4.54763 41.4323i −0.360650 3.28579i
\(160\) −4.35426 + 7.15625i −0.344235 + 0.565751i
\(161\) −2.19355 14.0059i −0.172876 1.10382i
\(162\) −22.9159 29.4240i −1.80045 2.31177i
\(163\) 2.83068 8.99280i 0.221716 0.704370i −0.775605 0.631219i \(-0.782555\pi\)
0.997321 0.0731517i \(-0.0233057\pi\)
\(164\) 2.14859 + 3.92752i 0.167777 + 0.306688i
\(165\) 1.45232 + 28.0204i 0.113063 + 2.18138i
\(166\) 0.777914 + 0.504547i 0.0603779 + 0.0391605i
\(167\) 0.213610 12.3737i 0.0165297 0.957508i −0.869514 0.493908i \(-0.835568\pi\)
0.886044 0.463601i \(-0.153443\pi\)
\(168\) 42.2751 5.38013i 3.26159 0.415086i
\(169\) 7.82034 + 2.41225i 0.601564 + 0.185558i
\(170\) 8.45704 + 6.66502i 0.648625 + 0.511184i
\(171\) −10.4130 + 0.479654i −0.796299 + 0.0366801i
\(172\) 0.209189 1.72283i 0.0159505 0.131364i
\(173\) 7.16176 4.76301i 0.544498 0.362125i −0.251089 0.967964i \(-0.580789\pi\)
0.795588 + 0.605839i \(0.207162\pi\)
\(174\) 13.2080 14.0716i 1.00130 1.06676i
\(175\) 3.16750 4.70379i 0.239440 0.355573i
\(176\) 5.30051 + 6.05285i 0.399541 + 0.456251i
\(177\) −4.94772 27.4439i −0.371894 2.06281i
\(178\) −1.31975 17.6109i −0.0989197 1.31999i
\(179\) 23.3224 + 6.61020i 1.74320 + 0.494070i 0.987061 0.160344i \(-0.0512603\pi\)
0.756137 + 0.654414i \(0.227084\pi\)
\(180\) 10.1712 7.10746i 0.758120 0.529759i
\(181\) 2.03865 + 9.98595i 0.151531 + 0.742250i 0.982549 + 0.186004i \(0.0595537\pi\)
−0.831018 + 0.556246i \(0.812241\pi\)
\(182\) 5.02847 + 22.0312i 0.372735 + 1.63306i
\(183\) −8.66028 40.0628i −0.640187 2.96153i
\(184\) −10.1065 2.73921i −0.745060 0.201937i
\(185\) 2.75675 + 14.3437i 0.202680 + 1.05457i
\(186\) −13.0482 + 19.8665i −0.956743 + 1.45669i
\(187\) −10.0174 + 6.82977i −0.732548 + 0.499443i
\(188\) −2.61692 + 0.150740i −0.190858 + 0.0109938i
\(189\) −67.0565 19.8421i −4.87764 1.44330i
\(190\) −0.0221466 + 3.84897i −0.00160668 + 0.279233i
\(191\) −1.47164 23.2204i −0.106484 1.68017i −0.591996 0.805941i \(-0.701660\pi\)
0.485512 0.874230i \(-0.338633\pi\)
\(192\) 8.38642 27.7541i 0.605238 2.00298i
\(193\) 2.04378 + 12.1345i 0.147115 + 0.873461i 0.957685 + 0.287819i \(0.0929302\pi\)
−0.810570 + 0.585641i \(0.800843\pi\)
\(194\) 0.552885 + 4.55342i 0.0396948 + 0.326916i
\(195\) 25.0857 + 29.3203i 1.79643 + 2.09967i
\(196\) 4.64044 4.30570i 0.331460 0.307550i
\(197\) −1.83982 + 2.66544i −0.131082 + 0.189905i −0.883029 0.469319i \(-0.844500\pi\)
0.751947 + 0.659224i \(0.229115\pi\)
\(198\) −9.53213 30.2827i −0.677419 2.15210i
\(199\) 4.43273 4.61496i 0.314228 0.327146i −0.545294 0.838245i \(-0.683582\pi\)
0.859522 + 0.511099i \(0.170761\pi\)
\(200\) −2.21825 3.55298i −0.156854 0.251233i
\(201\) −9.67746 + 6.27670i −0.682596 + 0.442725i
\(202\) −2.34728 3.23858i −0.165154 0.227866i
\(203\) 2.70835 20.3457i 0.190089 1.42799i
\(204\) 6.73753 + 2.96266i 0.471721 + 0.207427i
\(205\) −18.4629 + 0.637648i −1.28950 + 0.0445352i
\(206\) 6.73473 + 15.0797i 0.469231 + 1.05065i
\(207\) 21.3164 + 17.2008i 1.48159 + 1.19554i
\(208\) 10.8539 + 2.15085i 0.752580 + 0.149135i
\(209\) −4.12638 1.32501i −0.285428 0.0916528i
\(210\) −13.7069 + 38.8134i −0.945863 + 2.67838i
\(211\) 10.6957 1.23628i 0.736320 0.0851093i 0.261514 0.965200i \(-0.415778\pi\)
0.474806 + 0.880090i \(0.342518\pi\)
\(212\) −7.29685 + 2.34307i −0.501150 + 0.160923i
\(213\) −0.746576 + 25.9434i −0.0511545 + 1.77761i
\(214\) −16.7713 + 3.92960i −1.14646 + 0.268622i
\(215\) 5.96321 + 3.96591i 0.406688 + 0.270473i
\(216\) −33.5791 + 39.2474i −2.28477 + 2.67045i
\(217\) 1.01785 + 25.2578i 0.0690963 + 1.71461i
\(218\) 9.76739 + 19.4175i 0.661531 + 1.31512i
\(219\) −1.36099 2.55729i −0.0919673 0.172805i
\(220\) 4.99451 1.29218i 0.336730 0.0871187i
\(221\) −5.18902 + 15.8460i −0.349051 + 1.06591i
\(222\) −9.72545 20.4959i −0.652729 1.37560i
\(223\) 14.1541 + 18.6118i 0.947831 + 1.24634i 0.969127 + 0.246564i \(0.0793015\pi\)
−0.0212955 + 0.999773i \(0.506779\pi\)
\(224\) −4.45730 13.0998i −0.297816 0.875268i
\(225\) 1.57065 + 10.8435i 0.104710 + 0.722903i
\(226\) −0.0445221 2.57902i −0.00296157 0.171554i
\(227\) −2.80257 + 4.48887i −0.186013 + 0.297937i −0.928074 0.372395i \(-0.878537\pi\)
0.742062 + 0.670332i \(0.233848\pi\)
\(228\) 0.644316 + 2.55084i 0.0426709 + 0.168933i
\(229\) −2.25968 23.0279i −0.149324 1.52172i −0.716185 0.697910i \(-0.754114\pi\)
0.566861 0.823813i \(-0.308158\pi\)
\(230\) 6.75026 7.53171i 0.445099 0.496626i
\(231\) −37.0524 27.8431i −2.43787 1.83194i
\(232\) −12.9057 7.95465i −0.847300 0.522249i
\(233\) −16.9446 20.7534i −1.11008 1.35960i −0.926369 0.376616i \(-0.877088\pi\)
−0.183707 0.982981i \(-0.558810\pi\)
\(234\) −35.7892 25.0088i −2.33961 1.63487i
\(235\) 4.29702 9.92669i 0.280307 0.647546i
\(236\) −4.76211 + 1.90068i −0.309987 + 0.123724i
\(237\) −15.8188 + 14.0142i −1.02754 + 0.910320i
\(238\) −17.4066 + 3.65803i −1.12830 + 0.237115i
\(239\) 5.84141 12.3105i 0.377849 0.796301i −0.622062 0.782968i \(-0.713705\pi\)
0.999911 0.0133324i \(-0.00424396\pi\)
\(240\) 14.6160 + 13.8781i 0.943460 + 0.895826i
\(241\) −11.2784 + 15.5610i −0.726505 + 1.00237i 0.272683 + 0.962104i \(0.412089\pi\)
−0.999189 + 0.0402689i \(0.987179\pi\)
\(242\) 0.0122218 0.235802i 0.000785648 0.0151579i
\(243\) 49.4100 23.7946i 3.16966 1.52643i
\(244\) −6.89889 + 3.03361i −0.441656 + 0.194207i
\(245\) 7.26773 + 25.0911i 0.464318 + 1.60301i
\(246\) 27.5143 8.14149i 1.75425 0.519082i
\(247\) −5.60860 + 2.01703i −0.356866 + 0.128341i
\(248\) 17.3407 + 6.92115i 1.10114 + 0.439493i
\(249\) −1.85464 + 1.84400i −0.117533 + 0.116859i
\(250\) −10.7698 + 0.994297i −0.681145 + 0.0628848i
\(251\) −13.2051 + 9.92296i −0.833496 + 0.626331i −0.929406 0.369059i \(-0.879680\pi\)
0.0959104 + 0.995390i \(0.469424\pi\)
\(252\) −1.76685 + 20.4208i −0.111301 + 1.28639i
\(253\) 5.80713 + 9.79616i 0.365091 + 0.615879i
\(254\) −3.49182 + 9.20717i −0.219096 + 0.577709i
\(255\) −23.4155 + 19.3438i −1.46634 + 1.21135i
\(256\) −13.1035 1.20974i −0.818967 0.0756089i
\(257\) −2.98291 + 1.83857i −0.186069 + 0.114687i −0.614596 0.788842i \(-0.710681\pi\)
0.428527 + 0.903529i \(0.359033\pi\)
\(258\) −10.5096 3.64358i −0.654302 0.226840i
\(259\) −21.1001 11.7013i −1.31110 0.727081i
\(260\) 4.35950 5.59759i 0.270365 0.347148i
\(261\) 22.5277 + 32.6370i 1.39443 + 2.02018i
\(262\) 8.36554 + 1.85881i 0.516825 + 0.114837i
\(263\) 21.5039 3.74921i 1.32599 0.231186i 0.535954 0.844247i \(-0.319952\pi\)
0.790036 + 0.613061i \(0.210062\pi\)
\(264\) −29.9379 + 16.6024i −1.84255 + 1.02180i
\(265\) 4.89336 31.2444i 0.300597 1.91933i
\(266\) −4.85484 4.10553i −0.297669 0.251726i
\(267\) 49.3395 + 6.85703i 3.01953 + 0.419643i
\(268\) 1.48668 + 1.51257i 0.0908135 + 0.0923948i
\(269\) −9.94562 4.64934i −0.606395 0.283475i 0.0958661 0.995394i \(-0.469438\pi\)
−0.702261 + 0.711919i \(0.747826\pi\)
\(270\) −19.2909 46.0097i −1.17401 2.80006i
\(271\) 4.39734 8.49688i 0.267119 0.516149i −0.716232 0.697862i \(-0.754135\pi\)
0.983352 + 0.181713i \(0.0581643\pi\)
\(272\) −1.84015 + 8.51262i −0.111576 + 0.516153i
\(273\) −63.7365 + 0.733490i −3.85751 + 0.0443928i
\(274\) 24.0967 0.277309i 1.45574 0.0167529i
\(275\) −0.962492 + 4.45253i −0.0580405 + 0.268498i
\(276\) 3.17748 6.13978i 0.191262 0.369572i
\(277\) 4.42959 + 10.5648i 0.266148 + 0.634777i 0.998957 0.0456578i \(-0.0145384\pi\)
−0.732809 + 0.680434i \(0.761791\pi\)
\(278\) −2.57504 1.20377i −0.154441 0.0721972i
\(279\) −34.2359 34.8321i −2.04965 2.08534i
\(280\) 32.0269 + 4.45099i 1.91397 + 0.265997i
\(281\) −6.12474 5.17944i −0.365372 0.308979i 0.444282 0.895887i \(-0.353459\pi\)
−0.809654 + 0.586908i \(0.800345\pi\)
\(282\) −2.59955 + 16.5983i −0.154801 + 0.988413i
\(283\) −7.96422 + 4.41664i −0.473424 + 0.262542i −0.703585 0.710611i \(-0.748419\pi\)
0.230162 + 0.973152i \(0.426074\pi\)
\(284\) 4.70121 0.819657i 0.278966 0.0486377i
\(285\) −10.5983 2.35493i −0.627792 0.139494i
\(286\) −10.3119 14.9393i −0.609754 0.883382i
\(287\) 18.7508 24.0760i 1.10682 1.42116i
\(288\) 23.3807 + 12.9660i 1.37772 + 0.764029i
\(289\) 3.66204 + 1.26959i 0.215414 + 0.0746818i
\(290\) 12.4655 7.68335i 0.732000 0.451182i
\(291\) −12.8832 1.18941i −0.755227 0.0697243i
\(292\) −0.410645 + 0.339238i −0.0240312 + 0.0198524i
\(293\) −1.29152 + 3.40545i −0.0754512 + 0.198948i −0.967435 0.253118i \(-0.918544\pi\)
0.891984 + 0.452067i \(0.149313\pi\)
\(294\) −20.6896 34.9017i −1.20664 2.03551i
\(295\) 1.82388 21.0799i 0.106190 1.22732i
\(296\) −14.2468 + 10.7058i −0.828079 + 0.622261i
\(297\) 55.9370 5.16423i 3.24579 0.299659i
\(298\) 6.11845 6.08335i 0.354432 0.352399i
\(299\) 14.5458 + 5.80562i 0.841206 + 0.335748i
\(300\) 2.60224 0.935849i 0.150240 0.0540313i
\(301\) −11.3437 + 3.35662i −0.653842 + 0.193472i
\(302\) 3.27411 + 11.3035i 0.188404 + 0.650445i
\(303\) 10.3276 4.54131i 0.593307 0.260891i
\(304\) −2.80490 + 1.35077i −0.160872 + 0.0774719i
\(305\) 1.60976 31.0579i 0.0921743 1.77837i
\(306\) 20.1678 27.8259i 1.15292 1.59070i
\(307\) 2.86076 + 2.71633i 0.163272 + 0.155029i 0.765822 0.643052i \(-0.222332\pi\)
−0.602550 + 0.798081i \(0.705849\pi\)
\(308\) −3.65326 + 7.69909i −0.208164 + 0.438696i
\(309\) −45.5883 + 9.58048i −2.59343 + 0.545015i
\(310\) −13.4987 + 11.9588i −0.766677 + 0.679216i
\(311\) 1.18914 0.474619i 0.0674302 0.0269132i −0.336732 0.941601i \(-0.609322\pi\)
0.404162 + 0.914687i \(0.367563\pi\)
\(312\) −18.7027 + 43.2057i −1.05883 + 2.44604i
\(313\) 16.1675 + 11.2975i 0.913841 + 0.638573i 0.932468 0.361253i \(-0.117651\pi\)
−0.0186269 + 0.999827i \(0.505929\pi\)
\(314\) −11.3830 13.9416i −0.642379 0.786771i
\(315\) −72.0039 44.3809i −4.05696 2.50058i
\(316\) 3.10647 + 2.33436i 0.174753 + 0.131318i
\(317\) −2.42402 + 2.70464i −0.136147 + 0.151908i −0.808873 0.587984i \(-0.799922\pi\)
0.672726 + 0.739892i \(0.265123\pi\)
\(318\) 4.79704 + 48.8854i 0.269005 + 2.74136i
\(319\) 4.03783 + 15.9857i 0.226075 + 0.895029i
\(320\) 11.6503 18.6604i 0.651274 1.04315i
\(321\) −0.838650 48.5802i −0.0468089 2.71148i
\(322\) 2.39493 + 16.5343i 0.133464 + 0.921422i
\(323\) −1.51118 4.44129i −0.0840842 0.247120i
\(324\) −11.7085 15.3959i −0.650472 0.855329i
\(325\) 2.68570 + 5.65999i 0.148976 + 0.313960i
\(326\) −3.45762 + 10.5587i −0.191500 + 0.584793i
\(327\) −59.3549 + 15.3563i −3.28233 + 0.849205i
\(328\) −10.5894 19.8974i −0.584704 1.09865i
\(329\) 8.02929 + 15.9622i 0.442669 + 0.880023i
\(330\) −1.33142 33.0389i −0.0732923 1.81873i
\(331\) −10.7717 + 12.5900i −0.592064 + 0.692008i −0.972527 0.232788i \(-0.925215\pi\)
0.380463 + 0.924796i \(0.375764\pi\)
\(332\) 0.400411 + 0.266298i 0.0219754 + 0.0146150i
\(333\) 45.3876 10.6345i 2.48722 0.582769i
\(334\) −0.419521 + 14.5783i −0.0229552 + 0.797689i
\(335\) −8.33286 + 2.67574i −0.455273 + 0.146191i
\(336\) −33.0732 + 3.82284i −1.80429 + 0.208553i
\(337\) 0.0236485 0.0669650i 0.00128822 0.00364782i −0.942283 0.334816i \(-0.891326\pi\)
0.943572 + 0.331169i \(0.107443\pi\)
\(338\) −9.18276 2.94865i −0.499476 0.160385i
\(339\) 7.13685 + 1.41427i 0.387620 + 0.0768127i
\(340\) 4.34600 + 3.50692i 0.235695 + 0.190189i
\(341\) −8.28049 18.5408i −0.448414 1.00404i
\(342\) 12.2771 0.424012i 0.663871 0.0229279i
\(343\) −12.8040 5.63022i −0.691350 0.304003i
\(344\) −1.15297 + 8.66138i −0.0621640 + 0.466990i
\(345\) 16.7419 + 23.0990i 0.901351 + 1.24361i
\(346\) −8.50400 + 5.51561i −0.457178 + 0.296521i
\(347\) 0.609717 + 0.976585i 0.0327313 + 0.0524258i 0.864212 0.503128i \(-0.167818\pi\)
−0.831481 + 0.555554i \(0.812506\pi\)
\(348\) 6.93358 7.21863i 0.371679 0.386959i
\(349\) −6.26418 19.9007i −0.335314 1.06526i −0.958957 0.283551i \(-0.908487\pi\)
0.623643 0.781709i \(-0.285652\pi\)
\(350\) −3.79636 + 5.49998i −0.202924 + 0.293986i
\(351\) 56.6323 52.5471i 3.02281 2.80476i
\(352\) 7.22622 + 8.44605i 0.385159 + 0.450176i
\(353\) 3.54663 + 29.2092i 0.188768 + 1.55465i 0.711830 + 0.702352i \(0.247867\pi\)
−0.523062 + 0.852295i \(0.675210\pi\)
\(354\) 5.45822 + 32.4070i 0.290101 + 1.72241i
\(355\) −5.69611 + 18.8508i −0.302318 + 1.00049i
\(356\) −0.579314 9.14079i −0.0307036 0.484461i
\(357\) 0.288671 50.1697i 0.0152781 2.65526i
\(358\) −27.3934 8.10574i −1.44779 0.428401i
\(359\) −8.19379 + 0.471978i −0.432452 + 0.0249100i −0.272367 0.962193i \(-0.587807\pi\)
−0.160084 + 0.987103i \(0.551177\pi\)
\(360\) −51.6185 + 35.1929i −2.72054 + 1.85483i
\(361\) −9.50991 + 14.4793i −0.500521 + 0.762067i
\(362\) −2.26692 11.7951i −0.119147 0.619936i
\(363\) 0.642819 + 0.174226i 0.0337392 + 0.00914452i
\(364\) 2.47626 + 11.4553i 0.129791 + 0.600419i
\(365\) −0.489102 2.14290i −0.0256008 0.112164i
\(366\) 9.66197 + 47.3274i 0.505039 + 2.47385i
\(367\) 22.8690 15.9804i 1.19375 0.834169i 0.204282 0.978912i \(-0.434514\pi\)
0.989469 + 0.144743i \(0.0462355\pi\)
\(368\) 7.87045 + 2.23070i 0.410276 + 0.116283i
\(369\) 4.40614 + 58.7958i 0.229374 + 3.06079i
\(370\) −3.05403 16.9400i −0.158771 0.880669i
\(371\) 34.4163 + 39.3013i 1.78681 + 2.04042i
\(372\) −6.88532 + 10.2248i −0.356987 + 0.530132i
\(373\) 9.61532 10.2440i 0.497862 0.530414i −0.430252 0.902709i \(-0.641575\pi\)
0.928115 + 0.372295i \(0.121429\pi\)
\(374\) 11.8972 7.91235i 0.615187 0.409138i
\(375\) 3.67725 30.2849i 0.189892 1.56390i
\(376\) 13.1835 0.607275i 0.679888 0.0313178i
\(377\) 17.8092 + 14.0355i 0.917220 + 0.722864i
\(378\) 78.7502 + 24.2912i 4.05047 + 1.24941i
\(379\) −12.7645 + 1.62447i −0.655666 + 0.0834432i −0.446986 0.894541i \(-0.647503\pi\)
−0.208680 + 0.977984i \(0.566917\pi\)
\(380\) −0.0344561 + 1.99592i −0.00176756 + 0.102389i
\(381\) −23.3030 15.1141i −1.19385 0.774319i
\(382\) 1.41928 + 27.3829i 0.0726165 + 1.40103i
\(383\) −6.37875 11.6601i −0.325939 0.595801i 0.662206 0.749322i \(-0.269620\pi\)
−0.988145 + 0.153520i \(0.950939\pi\)
\(384\) −3.62920 + 11.5296i −0.185202 + 0.588368i
\(385\) −21.6079 27.7445i −1.10124 1.41399i
\(386\) −2.24383 14.3270i −0.114208 0.729225i
\(387\) 11.8809 19.5262i 0.603938 0.992574i
\(388\) 0.259548 + 2.36468i 0.0131766 + 0.120048i
\(389\) 18.6582 + 13.6877i 0.946011 + 0.693993i 0.952035 0.305989i \(-0.0989872\pi\)
−0.00602416 + 0.999982i \(0.501918\pi\)
\(390\) −29.1634 34.8912i −1.47674 1.76679i
\(391\) −4.76656 + 11.3685i −0.241055 + 0.574929i
\(392\) −23.6116 + 21.4080i −1.19256 + 1.08127i
\(393\) −10.1103 + 21.9559i −0.509998 + 1.10753i
\(394\) 2.20419 3.11600i 0.111046 0.156982i
\(395\) −14.3661 + 7.12313i −0.722835 + 0.358404i
\(396\) −4.76259 15.7613i −0.239329 0.792037i
\(397\) 33.8206 12.6044i 1.69741 0.632595i 0.700684 0.713471i \(-0.252878\pi\)
0.996724 + 0.0808764i \(0.0257719\pi\)
\(398\) −5.28611 + 5.37815i −0.264969 + 0.269582i
\(399\) 14.2122 10.9380i 0.711502 0.547582i
\(400\) 1.70093 + 2.79549i 0.0850466 + 0.139774i
\(401\) −0.0932240 + 0.0788356i −0.00465538 + 0.00393686i −0.648046 0.761601i \(-0.724414\pi\)
0.643391 + 0.765538i \(0.277527\pi\)
\(402\) 11.4890 7.26522i 0.573021 0.362356i
\(403\) −24.5763 13.2616i −1.22423 0.660605i
\(404\) −1.19796 1.69352i −0.0596006 0.0842558i
\(405\) 78.4682 14.6133i 3.89911 0.726140i
\(406\) −3.46743 + 23.9387i −0.172085 + 1.18806i
\(407\) 19.2264 + 2.44684i 0.953016 + 0.121285i
\(408\) −33.7482 15.3057i −1.67078 0.757746i
\(409\) 2.24562 4.46428i 0.111039 0.220745i −0.830982 0.556300i \(-0.812221\pi\)
0.942021 + 0.335555i \(0.108924\pi\)
\(410\) 21.7653 0.501024i 1.07491 0.0247438i
\(411\) −13.5964 + 66.5996i −0.670662 + 3.28512i
\(412\) 3.40260 + 7.86047i 0.167634 + 0.387258i
\(413\) 24.7851 + 24.6429i 1.21960 + 1.21260i
\(414\) −24.8860 20.5585i −1.22308 1.01040i
\(415\) −1.72421 + 0.982286i −0.0846379 + 0.0482185i
\(416\) 14.9600 + 3.14388i 0.733474 + 0.154141i
\(417\) 4.85342 6.38194i 0.237673 0.312525i
\(418\) 4.84455 + 1.61735i 0.236955 + 0.0791071i
\(419\) 31.5565 + 2.54750i 1.54163 + 0.124454i 0.821834 0.569727i \(-0.192951\pi\)
0.719801 + 0.694181i \(0.244233\pi\)
\(420\) −7.33995 + 20.0466i −0.358153 + 0.978176i
\(421\) −2.30378 + 30.7418i −0.112279 + 1.49826i 0.602052 + 0.798457i \(0.294350\pi\)
−0.714332 + 0.699807i \(0.753269\pi\)
\(422\) −12.6205 + 1.31179i −0.614358 + 0.0638569i
\(423\) −32.2082 12.4274i −1.56602 0.604242i
\(424\) 36.8715 11.3733i 1.79064 0.552338i
\(425\) −4.49082 + 2.03671i −0.217837 + 0.0987950i
\(426\) 1.23159 30.5615i 0.0596706 1.48071i
\(427\) 37.6584 + 34.9419i 1.82242 + 1.69096i
\(428\) −8.72097 + 1.93778i −0.421544 + 0.0936662i
\(429\) 47.3331 19.5263i 2.28527 0.942739i
\(430\) −6.97326 4.75429i −0.336280 0.229272i
\(431\) 3.09947 + 1.86154i 0.149296 + 0.0896673i 0.587566 0.809176i \(-0.300086\pi\)
−0.438270 + 0.898843i \(0.644409\pi\)
\(432\) 26.5845 30.3578i 1.27905 1.46059i
\(433\) 6.29016 + 23.7483i 0.302286 + 1.14127i 0.931412 + 0.363966i \(0.118578\pi\)
−0.629126 + 0.777303i \(0.716587\pi\)
\(434\) −0.856910 29.7775i −0.0411330 1.42937i
\(435\) 13.7538 + 38.9463i 0.659444 + 1.86733i
\(436\) 4.94944 + 10.1281i 0.237035 + 0.485049i
\(437\) −4.25307 + 1.15273i −0.203452 + 0.0551426i
\(438\) 1.56911 + 3.03196i 0.0749750 + 0.144873i
\(439\) −1.21371 + 1.45209i −0.0579271 + 0.0693044i −0.795457 0.606011i \(-0.792769\pi\)
0.737529 + 0.675315i \(0.235992\pi\)
\(440\) −25.2195 + 6.21606i −1.20229 + 0.296339i
\(441\) 79.0811 26.4011i 3.76576 1.25720i
\(442\) 6.32962 18.6025i 0.301069 0.884830i
\(443\) −11.0324 2.05459i −0.524167 0.0976166i −0.0856252 0.996327i \(-0.527289\pi\)
−0.438542 + 0.898711i \(0.644505\pi\)
\(444\) −4.92125 10.6871i −0.233552 0.507189i
\(445\) 34.7714 + 14.8147i 1.64832 + 0.702285i
\(446\) −16.4268 22.1240i −0.777832 1.04760i
\(447\) 13.1253 + 20.4940i 0.620805 + 0.969332i
\(448\) 11.3088 + 34.5342i 0.534289 + 1.63159i
\(449\) 2.45424 2.33033i 0.115823 0.109975i −0.628453 0.777848i \(-0.716311\pi\)
0.744275 + 0.667873i \(0.232795\pi\)
\(450\) −1.70380 12.7993i −0.0803177 0.603366i
\(451\) −6.82010 + 23.5457i −0.321146 + 1.10873i
\(452\) −0.00769717 1.33773i −0.000362044 0.0629216i
\(453\) −33.1149 + 2.29009i −1.55587 + 0.107598i
\(454\) 3.36341 5.25168i 0.157853 0.246473i
\(455\) −46.8213 12.1136i −2.19501 0.567894i
\(456\) −3.09599 12.8794i −0.144983 0.603134i
\(457\) 5.11662 3.66373i 0.239345 0.171382i −0.456172 0.889892i \(-0.650780\pi\)
0.695517 + 0.718510i \(0.255175\pi\)
\(458\) 2.35052 + 27.1666i 0.109833 + 1.26941i
\(459\) 40.5844 + 45.2827i 1.89432 + 2.11362i
\(460\) 3.54560 3.86562i 0.165314 0.180236i
\(461\) 1.79704 16.3724i 0.0836966 0.762539i −0.876155 0.482030i \(-0.839900\pi\)
0.959851 0.280509i \(-0.0905032\pi\)
\(462\) 43.2850 + 33.3128i 2.01380 + 1.54985i
\(463\) 4.59806 0.639022i 0.213690 0.0296979i −0.0300053 0.999550i \(-0.509552\pi\)
0.243695 + 0.969852i \(0.421640\pi\)
\(464\) 10.0103 + 6.33011i 0.464715 + 0.293868i
\(465\) −24.9255 44.3429i −1.15589 2.05635i
\(466\) 19.6860 + 24.6855i 0.911938 + 1.14353i
\(467\) 14.5873 24.6075i 0.675018 1.13870i −0.307324 0.951605i \(-0.599434\pi\)
0.982342 0.187094i \(-0.0599070\pi\)
\(468\) −18.4109 13.1830i −0.851042 0.609385i
\(469\) 5.43623 13.3959i 0.251022 0.618566i
\(470\) −5.19822 + 11.6393i −0.239776 + 0.536882i
\(471\) 45.2208 23.0739i 2.08366 1.06319i
\(472\) 24.0848 9.29301i 1.10859 0.427745i
\(473\) 7.46365 5.88213i 0.343179 0.270461i
\(474\) 18.8309 16.2998i 0.864930 0.748674i
\(475\) −1.56076 0.819152i −0.0716128 0.0375853i
\(476\) −9.04879 + 1.79315i −0.414750 + 0.0821889i
\(477\) −100.267 11.5896i −4.59090 0.530650i
\(478\) −7.05045 + 14.4275i −0.322480 + 0.659897i
\(479\) −4.97650 + 25.8934i −0.227382 + 1.18310i 0.670175 + 0.742203i \(0.266219\pi\)
−0.897557 + 0.440897i \(0.854660\pi\)
\(480\) 19.9708 + 19.4044i 0.911539 + 0.885685i
\(481\) 23.0066 13.4599i 1.04901 0.613720i
\(482\) 13.5015 18.1841i 0.614975 0.828264i
\(483\) −47.0122 3.25117i −2.13913 0.147933i
\(484\) 0.00774546 0.122213i 0.000352066 0.00555513i
\(485\) −9.19859 3.42816i −0.417687 0.155665i
\(486\) −58.5474 + 27.3695i −2.65576 + 1.24151i
\(487\) −12.5537 11.3821i −0.568864 0.515774i 0.335781 0.941940i \(-0.391000\pi\)
−0.904645 + 0.426166i \(0.859864\pi\)
\(488\) 34.9079 14.8729i 1.58021 0.673264i
\(489\) −27.0496 15.8253i −1.22322 0.715645i
\(490\) −8.22401 29.6659i −0.371523 1.34017i
\(491\) 5.56397 + 15.1961i 0.251099 + 0.685792i 0.999740 + 0.0228167i \(0.00726342\pi\)
−0.748641 + 0.662975i \(0.769293\pi\)
\(492\) 14.3174 4.05793i 0.645476 0.182946i
\(493\) −11.2877 + 13.8249i −0.508372 + 0.622642i
\(494\) 6.63652 2.30081i 0.298591 0.103518i
\(495\) 66.9351 + 11.6701i 3.00851 + 0.524533i
\(496\) −13.4842 5.56262i −0.605458 0.249769i
\(497\) −17.8578 27.1893i −0.801031 1.21961i
\(498\) 2.21052 2.14782i 0.0990556 0.0962461i
\(499\) −6.46569 + 23.3232i −0.289444 + 1.04409i 0.665279 + 0.746594i \(0.268312\pi\)
−0.954723 + 0.297495i \(0.903849\pi\)
\(500\) −5.59112 + 0.451362i −0.250043 + 0.0201855i
\(501\) −39.9421 9.84485i −1.78448 0.439836i
\(502\) 15.6954 11.5141i 0.700519 0.513900i
\(503\) −15.1945 16.5659i −0.677488 0.738637i 0.298989 0.954256i \(-0.403350\pi\)
−0.976478 + 0.215619i \(0.930823\pi\)
\(504\) 10.0783 102.705i 0.448922 4.57485i
\(505\) 8.46454 1.27582i 0.376667 0.0567734i
\(506\) −6.71027 11.6225i −0.298308 0.516684i
\(507\) 13.6020 23.5594i 0.604088 1.04631i
\(508\) −1.86579 + 4.75396i −0.0827810 + 0.210923i
\(509\) −32.8468 + 17.2393i −1.45591 + 0.764120i −0.992525 0.122037i \(-0.961057\pi\)
−0.463384 + 0.886158i \(0.653365\pi\)
\(510\) 27.8551 22.4771i 1.23345 0.995305i
\(511\) 3.23411 + 1.65021i 0.143069 + 0.0730008i
\(512\) 22.6583 + 2.35512i 1.00136 + 0.104083i
\(513\) −3.85658 + 21.3916i −0.170272 + 0.944461i
\(514\) 3.53999 2.12612i 0.156142 0.0937791i
\(515\) −35.2869 2.03260i −1.55493 0.0895668i
\(516\) −5.42851 1.95227i −0.238977 0.0859437i
\(517\) −10.7435 9.51790i −0.472498 0.418597i
\(518\) 24.7056 + 14.0749i 1.08550 + 0.618415i
\(519\) −10.1383 26.7325i −0.445023 1.17343i
\(520\) −22.2721 + 27.9283i −0.976695 + 1.22474i
\(521\) −10.8295 1.75996i −0.474449 0.0771054i −0.0815147 0.996672i \(-0.525976\pi\)
−0.392934 + 0.919567i \(0.628540\pi\)
\(522\) −26.1040 38.7649i −1.14254 1.69669i
\(523\) −4.69001 + 17.7070i −0.205080 + 0.774271i 0.783220 + 0.621745i \(0.213576\pi\)
−0.988299 + 0.152526i \(0.951259\pi\)
\(524\) 4.32724 + 1.01389i 0.189036 + 0.0442921i
\(525\) −12.9008 13.7443i −0.563039 0.599852i
\(526\) −25.3911 + 4.12645i −1.10710 + 0.179922i
\(527\) 10.7706 19.1610i 0.469173 0.834668i
\(528\) 23.5364 12.7004i 1.02429 0.552716i
\(529\) −10.2324 5.07353i −0.444886 0.220588i
\(530\) −6.19004 + 36.7520i −0.268878 + 1.59641i
\(531\) −67.4576 3.10732i −2.92741 0.134846i
\(532\) −2.49320 2.15808i −0.108094 0.0935648i
\(533\) 12.3166 + 31.3823i 0.533493 + 1.35932i
\(534\) −58.0486 8.74941i −2.51201 0.378624i
\(535\) 9.02828 35.7428i 0.390327 1.54530i
\(536\) −7.39700 7.70110i −0.319502 0.332637i
\(537\) 38.6731 70.6925i 1.66887 3.05061i
\(538\) 11.6569 + 5.61365i 0.502563 + 0.242022i
\(539\) 34.6420 + 1.19642i 1.49214 + 0.0515335i
\(540\) −9.72956 23.9755i −0.418694 1.03174i
\(541\) −6.44201 + 26.7989i −0.276963 + 1.15218i 0.644778 + 0.764370i \(0.276950\pi\)
−0.921741 + 0.387805i \(0.873233\pi\)
\(542\) −5.29704 + 9.95308i −0.227527 + 0.427521i
\(543\) 33.8699 + 0.779664i 1.45350 + 0.0334586i
\(544\) −2.67743 + 11.7306i −0.114794 + 0.502945i
\(545\) −46.5149 0.535302i −1.99248 0.0229298i
\(546\) 75.1169 3.21471
\(547\) 22.1371 + 7.54658i 0.946512 + 0.322668i
\(548\) 12.4981 0.533893
\(549\) −99.2498 1.14218i −4.23588 0.0487472i
\(550\) 1.19458 5.23380i 0.0509371 0.223170i
\(551\) −6.37814 0.146821i −0.271718 0.00625478i
\(552\) −16.3526 + 30.7264i −0.696015 + 1.30780i
\(553\) 6.19082 25.7540i 0.263261 1.09517i
\(554\) −5.07655 12.5096i −0.215682 0.531482i
\(555\) 48.5235 + 1.67584i 2.05971 + 0.0711355i
\(556\) −1.32822 0.639637i −0.0563290 0.0271266i
\(557\) −6.26026 + 11.4435i −0.265256 + 0.484875i −0.975767 0.218811i \(-0.929782\pi\)
0.710512 + 0.703685i \(0.248464\pi\)
\(558\) 39.8712 + 41.5103i 1.68788 + 1.75727i
\(559\) 3.20059 12.6711i 0.135371 0.535930i
\(560\) −24.9791 3.76499i −1.05556 0.159100i
\(561\) 14.7239 + 37.5158i 0.621642 + 1.58392i
\(562\) 7.14715 + 6.18650i 0.301484 + 0.260962i
\(563\) 2.23318 + 0.102867i 0.0941172 + 0.00433534i 0.0930219 0.995664i \(-0.470347\pi\)
0.00109526 + 0.999999i \(0.499651\pi\)
\(564\) −1.44717 + 8.59227i −0.0609369 + 0.361800i
\(565\) 4.94577 + 2.45226i 0.208070 + 0.103167i
\(566\) 9.44492 5.09655i 0.397000 0.214224i
\(567\) −64.6051 + 114.934i −2.71316 + 4.82677i
\(568\) −23.7156 + 3.85415i −0.995083 + 0.161717i
\(569\) 11.4530 + 12.2018i 0.480133 + 0.511526i 0.922862 0.385130i \(-0.125843\pi\)
−0.442729 + 0.896655i \(0.645990\pi\)
\(570\) 12.4571 + 2.91877i 0.521772 + 0.122254i
\(571\) −1.21781 + 4.59779i −0.0509637 + 0.192412i −0.987349 0.158562i \(-0.949314\pi\)
0.936385 + 0.350974i \(0.114149\pi\)
\(572\) −5.25853 7.80901i −0.219870 0.326511i
\(573\) −76.3400 12.4065i −3.18915 0.518288i
\(574\) −22.4224 + 28.1168i −0.935893 + 1.17357i
\(575\) 1.64243 + 4.33072i 0.0684939 + 0.180604i
\(576\) −61.0047 34.7546i −2.54186 1.44811i
\(577\) 11.5637 + 10.2446i 0.481404 + 0.426487i 0.868603 0.495510i \(-0.165019\pi\)
−0.387198 + 0.921996i \(0.626557\pi\)
\(578\) −4.29813 1.54575i −0.178779 0.0642945i
\(579\) 40.8366 + 2.35227i 1.69711 + 0.0977568i
\(580\) 6.51041 3.91015i 0.270330 0.162360i
\(581\) 0.581583 3.22591i 0.0241281 0.133833i
\(582\) 15.1654 + 1.57631i 0.628627 + 0.0653401i
\(583\) −37.3797 19.0730i −1.54811 0.789924i
\(584\) 2.08703 1.68409i 0.0863620 0.0696881i
\(585\) 82.7390 43.4248i 3.42084 1.79539i
\(586\) 1.56810 3.99546i 0.0647777 0.165051i
\(587\) 14.1518 24.5116i 0.584106 1.01170i −0.410880 0.911689i \(-0.634778\pi\)
0.994986 0.100012i \(-0.0318882\pi\)
\(588\) −10.5212 18.2233i −0.433889 0.751517i
\(589\) 7.76945 1.17106i 0.320135 0.0482526i
\(590\) −2.43513 + 24.8157i −0.100253 + 1.02165i
\(591\) 7.27714 + 7.93397i 0.299342 + 0.326360i
\(592\) 11.2257 8.23516i 0.461373 0.338463i
\(593\) 9.39187 + 2.31489i 0.385678 + 0.0950610i 0.427387 0.904069i \(-0.359434\pi\)
−0.0417093 + 0.999130i \(0.513280\pi\)
\(594\) −65.9861 + 5.32695i −2.70744 + 0.218567i
\(595\) 10.1693 36.6831i 0.416902 1.50386i
\(596\) 3.20931 3.11828i 0.131458 0.127730i
\(597\) −11.6771 17.7789i −0.477912 0.727643i
\(598\) −17.0620 7.03859i −0.697719 0.287829i
\(599\) 17.7901 + 3.10171i 0.726884 + 0.126732i 0.523085 0.852280i \(-0.324781\pi\)
0.203799 + 0.979013i \(0.434671\pi\)
\(600\) −13.1551 + 4.56073i −0.537054 + 0.186191i
\(601\) 10.3883 12.7234i 0.423748 0.518998i −0.517970 0.855399i \(-0.673312\pi\)
0.941719 + 0.336401i \(0.109210\pi\)
\(602\) 13.4130 3.80160i 0.546672 0.154942i
\(603\) 9.60375 + 26.2295i 0.391095 + 1.06815i
\(604\) 1.63047 + 5.88149i 0.0663431 + 0.239315i
\(605\) 0.436170 + 0.255180i 0.0177328 + 0.0103745i
\(606\) −12.2316 + 5.21142i −0.496877 + 0.211699i
\(607\) −6.63698 6.01758i −0.269387 0.244246i 0.525804 0.850606i \(-0.323765\pi\)
−0.795190 + 0.606360i \(0.792629\pi\)
\(608\) −3.89633 + 1.82144i −0.158017 + 0.0738692i
\(609\) −63.9321 23.8264i −2.59066 0.965494i
\(610\) −2.31812 + 36.5767i −0.0938578 + 1.48095i
\(611\) −19.6924 1.36185i −0.796669 0.0550944i
\(612\) 10.6250 14.3100i 0.429490 0.578447i
\(613\) 19.0395 11.1390i 0.768998 0.449900i −0.0676037 0.997712i \(-0.521535\pi\)
0.836602 + 0.547812i \(0.184539\pi\)
\(614\) −3.33428 3.23971i −0.134561 0.130744i
\(615\) −11.5902 + 60.3052i −0.467360 + 2.43174i
\(616\) 18.8383 38.5491i 0.759016 1.55319i
\(617\) −13.3852 1.54716i −0.538867 0.0622862i −0.158915 0.987292i \(-0.550800\pi\)
−0.379952 + 0.925006i \(0.624060\pi\)
\(618\) 53.8511 10.6714i 2.16621 0.429266i
\(619\) −6.68853 3.51041i −0.268835 0.141095i 0.324920 0.945742i \(-0.394663\pi\)
−0.593755 + 0.804646i \(0.702355\pi\)
\(620\) −7.07175 + 6.12123i −0.284008 + 0.245835i
\(621\) 44.8594 35.3538i 1.80015 1.41870i
\(622\) −1.40772 + 0.543164i −0.0564446 + 0.0217789i
\(623\) −55.6123 + 28.3762i −2.22806 + 1.13687i
\(624\) 14.9987 33.5837i 0.600430 1.34442i
\(625\) 11.2632 27.7547i 0.450528 1.11019i
\(626\) −18.8985 13.5322i −0.755338 0.540856i
\(627\) −7.34622 + 12.3925i −0.293380 + 0.494907i
\(628\) −5.81995 7.29799i −0.232241 0.291221i
\(629\) 10.2802 + 18.2887i 0.409899 + 0.729219i
\(630\) 84.2474 + 53.2748i 3.35650 + 2.12252i
\(631\) 25.0647 3.48341i 0.997812 0.138672i 0.379990 0.924991i \(-0.375927\pi\)
0.617822 + 0.786318i \(0.288015\pi\)
\(632\) −15.5042 11.9322i −0.616723 0.474639i
\(633\) 3.90488 35.5764i 0.155205 1.41403i
\(634\) 2.89314 3.15427i 0.114901 0.125272i
\(635\) −14.0654 15.6937i −0.558169 0.622786i
\(636\) 2.19597 + 25.3804i 0.0870759 + 1.00640i
\(637\) 38.7588 27.7531i 1.53568 1.09962i
\(638\) −4.54139 18.8923i −0.179795 0.747954i
\(639\) 60.8467 + 15.7423i 2.40706 + 0.622754i
\(640\) −4.94620 + 7.72306i −0.195516 + 0.305281i
\(641\) 16.1789 1.11887i 0.639028 0.0441926i 0.254157 0.967163i \(-0.418202\pi\)
0.384871 + 0.922970i \(0.374246\pi\)
\(642\) 0.329458 + 57.2582i 0.0130027 + 2.25980i
\(643\) −8.33667 + 28.7815i −0.328766 + 1.13503i 0.610549 + 0.791978i \(0.290949\pi\)
−0.939316 + 0.343054i \(0.888539\pi\)
\(644\) 1.14332 + 8.58891i 0.0450532 + 0.338451i
\(645\) 17.2634 16.3918i 0.679744 0.645425i
\(646\) 1.72054 + 5.25411i 0.0676938 + 0.206720i
\(647\) 2.09225 + 3.26687i 0.0822549 + 0.128434i 0.880776 0.473533i \(-0.157021\pi\)
−0.798521 + 0.601966i \(0.794384\pi\)
\(648\) 58.0539 + 78.1885i 2.28057 + 3.07153i
\(649\) −25.8293 11.0049i −1.01389 0.431978i
\(650\) −3.08807 6.70614i −0.121124 0.263037i
\(651\) 82.6068 + 15.3840i 3.23762 + 0.602948i
\(652\) −1.85612 + 5.45506i −0.0726913 + 0.213637i
\(653\) 23.2538 7.76327i 0.909993 0.303800i 0.177139 0.984186i \(-0.443316\pi\)
0.732854 + 0.680386i \(0.238188\pi\)
\(654\) 70.1520 17.2909i 2.74316 0.676128i
\(655\) −11.7619 + 14.0721i −0.459577 + 0.549841i
\(656\) 8.09348 + 15.6389i 0.315997 + 0.610595i
\(657\) −6.77080 + 1.83512i −0.264154 + 0.0715950i
\(658\) −9.24523 18.9187i −0.360417 0.737527i
\(659\) −8.71898 24.6893i −0.339643 0.961760i −0.980913 0.194445i \(-0.937710\pi\)
0.641270 0.767315i \(-0.278408\pi\)
\(660\) −0.493290 17.1417i −0.0192013 0.667241i
\(661\) 3.94456 + 14.8925i 0.153426 + 0.579253i 0.998971 + 0.0453495i \(0.0144401\pi\)
−0.845546 + 0.533903i \(0.820725\pi\)
\(662\) 12.8640 14.6899i 0.499975 0.570940i
\(663\) 47.5145 + 28.5372i 1.84531 + 1.10829i
\(664\) −2.00043 1.36387i −0.0776316 0.0529283i
\(665\) 12.5790 5.18919i 0.487791 0.201228i
\(666\) −53.6289 + 11.9162i −2.07808 + 0.461744i
\(667\) 12.2889 + 11.4025i 0.475830 + 0.441505i
\(668\) −0.304566 + 7.55773i −0.0117840 + 0.292417i
\(669\) 70.7856 32.1032i 2.73673 1.24118i
\(670\) 9.85572 3.04009i 0.380760 0.117449i
\(671\) −38.5004 14.8552i −1.48629 0.573480i
\(672\) −45.7502 + 4.75531i −1.76485 + 0.183440i
\(673\) −0.500616 + 6.68026i −0.0192973 + 0.257505i 0.979208 + 0.202857i \(0.0650227\pi\)
−0.998506 + 0.0546479i \(0.982596\pi\)
\(674\) −0.0287755 + 0.0785908i −0.00110839 + 0.00302720i
\(675\) 22.7732 + 1.83844i 0.876539 + 0.0707616i
\(676\) −4.74454 1.58396i −0.182482 0.0609215i
\(677\) 8.84880 11.6356i 0.340087 0.447193i −0.593879 0.804554i \(-0.702404\pi\)
0.933966 + 0.357362i \(0.116324\pi\)
\(678\) −8.39087 1.76336i −0.322250 0.0677215i
\(679\) 14.0896 8.02691i 0.540710 0.308045i
\(680\) −21.6766 17.9072i −0.831260 0.686712i
\(681\) 12.4743 + 12.4027i 0.478016 + 0.475274i
\(682\) 9.50628 + 21.9608i 0.364014 + 0.840922i
\(683\) 4.79288 23.4771i 0.183394 0.898325i −0.779074 0.626932i \(-0.784310\pi\)
0.962469 0.271393i \(-0.0874844\pi\)
\(684\) 6.36939 0.146619i 0.243540 0.00560614i
\(685\) −23.1760 + 46.0737i −0.885509 + 1.76039i
\(686\) 15.0118 + 6.80828i 0.573155 + 0.259941i
\(687\) −76.2989 9.71016i −2.91098 0.370466i
\(688\) 0.978554 6.75581i 0.0373070 0.257563i
\(689\) −56.7370 + 10.5662i −2.16151 + 0.402542i
\(690\) −19.4153 27.4469i −0.739129 1.04489i
\(691\) −27.3441 14.7551i −1.04022 0.561311i −0.137036 0.990566i \(-0.543758\pi\)
−0.903183 + 0.429255i \(0.858776\pi\)
\(692\) −4.44305 + 2.80962i −0.168899 + 0.106806i
\(693\) −85.6998 + 72.4727i −3.25547 + 2.75301i
\(694\) −0.705246 1.15907i −0.0267708 0.0439979i
\(695\) 4.82099 3.71031i 0.182871 0.140740i
\(696\) −35.3251 + 35.9402i −1.33899 + 1.36231i
\(697\) −24.8648 + 9.26667i −0.941820 + 0.351000i
\(698\) 7.11182 + 23.5359i 0.269186 + 0.890848i
\(699\) −79.7899 + 39.5623i −3.01793 + 1.49638i
\(700\) −2.00160 + 2.82961i −0.0756534 + 0.106949i
\(701\) −6.29163 + 13.6631i −0.237632 + 0.516048i −0.989721 0.143013i \(-0.954321\pi\)
0.752089 + 0.659061i \(0.229046\pi\)
\(702\) −67.4480 + 61.1534i −2.54566 + 2.30809i
\(703\) −2.89981 + 6.91619i −0.109368 + 0.260849i
\(704\) −18.7205 22.3973i −0.705554 0.844129i
\(705\) −28.9915 21.2681i −1.09188 0.801003i
\(706\) −3.78324 34.4681i −0.142384 1.29722i
\(707\) −7.35002 + 12.0798i −0.276426 + 0.454307i
\(708\) 2.63720 + 16.8387i 0.0991119 + 0.632836i
\(709\) 16.0188 + 20.5681i 0.601600 + 0.772452i 0.988752 0.149563i \(-0.0477868\pi\)
−0.387153 + 0.922016i \(0.626541\pi\)
\(710\) 6.96793 22.1365i 0.261502 0.830767i
\(711\) 24.5617 + 44.8976i 0.921137 + 1.68379i
\(712\) 2.38694 + 46.0525i 0.0894544 + 1.72589i
\(713\) −17.3218 11.2347i −0.648706 0.420744i
\(714\) −1.02053 + 59.1160i −0.0381924 + 2.21236i
\(715\) 38.5388 4.90463i 1.44127 0.183423i
\(716\) −14.1577 4.36708i −0.529099 0.163205i
\(717\) −35.5745 28.0363i −1.32855 1.04704i
\(718\) 9.66195 0.445060i 0.360581 0.0166095i
\(719\) −1.63216 + 13.4420i −0.0608692 + 0.501303i 0.930109 + 0.367283i \(0.119712\pi\)
−0.990979 + 0.134020i \(0.957211\pi\)
\(720\) 40.6402 27.0283i 1.51457 1.00728i
\(721\) 39.9579 42.5705i 1.48811 1.58541i
\(722\) 11.4028 16.9334i 0.424369 0.630195i
\(723\) 42.0869 + 48.0606i 1.56523 + 1.78739i
\(724\) −1.10522 6.13040i −0.0410751 0.227835i
\(725\) 0.501130 + 6.68711i 0.0186115 + 0.248353i
\(726\) −0.755134 0.214026i −0.0280257 0.00794324i
\(727\) 19.2766 13.4701i 0.714931 0.499579i −0.157990 0.987441i \(-0.550501\pi\)
0.872921 + 0.487862i \(0.162223\pi\)
\(728\) −11.8029 57.8146i −0.437446 2.14275i
\(729\) −19.4386 85.1659i −0.719947 3.15429i
\(730\) 0.547297 + 2.53182i 0.0202564 + 0.0937068i
\(731\) 9.92850 + 2.69097i 0.367219 + 0.0995291i
\(732\) 4.72819 + 24.6014i 0.174759 + 0.909296i
\(733\) −16.0747 + 24.4745i −0.593734 + 0.903987i −0.999952 0.00978895i \(-0.996884\pi\)
0.406218 + 0.913776i \(0.366847\pi\)
\(734\) −27.1655 + 18.5211i −1.00270 + 0.683627i
\(735\) 86.6897 4.99349i 3.19760 0.184188i
\(736\) 10.8373 + 3.20675i 0.399467 + 0.118202i
\(737\) −0.0668200 + 11.6130i −0.00246134 + 0.427770i
\(738\) −4.39485 69.3447i −0.161777 2.55261i
\(739\) 9.96399 32.9749i 0.366531 1.21300i −0.557336 0.830287i \(-0.688176\pi\)
0.923867 0.382714i \(-0.125010\pi\)
\(740\) −1.48270 8.80323i −0.0545053 0.323613i
\(741\) 2.38813 + 19.6680i 0.0877300 + 0.722522i
\(742\) −40.0232 46.7793i −1.46930 1.71732i
\(743\) 1.53677 1.42591i 0.0563786 0.0523117i −0.651480 0.758666i \(-0.725852\pi\)
0.707859 + 0.706354i \(0.249661\pi\)
\(744\) 35.2563 51.0775i 1.29256 1.87259i
\(745\) 5.54420 + 17.6134i 0.203124 + 0.645304i
\(746\) −11.4696 + 11.9411i −0.419932 + 0.437195i
\(747\) 3.35407 + 5.37222i 0.122719 + 0.196559i
\(748\) 6.21703 4.03230i 0.227317 0.147436i
\(749\) 35.7374 + 49.3075i 1.30581 + 1.80166i