Properties

Label 462.2.w.a.239.12
Level $462$
Weight $2$
Character 462.239
Analytic conductor $3.689$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.w (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(12\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 239.12
Character \(\chi\) \(=\) 462.239
Dual form 462.2.w.a.29.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.809017 + 0.587785i) q^{2} +(1.72744 + 0.126348i) q^{3} +(0.309017 - 0.951057i) q^{4} +(2.46323 - 3.39035i) q^{5} +(-1.47179 + 0.913144i) q^{6} +(-0.951057 - 0.309017i) q^{7} +(0.309017 + 0.951057i) q^{8} +(2.96807 + 0.436515i) q^{9} +O(q^{10})\) \(q+(-0.809017 + 0.587785i) q^{2} +(1.72744 + 0.126348i) q^{3} +(0.309017 - 0.951057i) q^{4} +(2.46323 - 3.39035i) q^{5} +(-1.47179 + 0.913144i) q^{6} +(-0.951057 - 0.309017i) q^{7} +(0.309017 + 0.951057i) q^{8} +(2.96807 + 0.436515i) q^{9} +4.19070i q^{10} +(-0.214333 + 3.30969i) q^{11} +(0.653971 - 1.60385i) q^{12} +(-2.42598 - 3.33908i) q^{13} +(0.951057 - 0.309017i) q^{14} +(4.68344 - 5.54538i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(3.28471 + 2.38648i) q^{17} +(-2.65780 + 1.39144i) q^{18} +(-1.43242 + 0.465420i) q^{19} +(-2.46323 - 3.39035i) q^{20} +(-1.60385 - 0.653971i) q^{21} +(-1.77199 - 2.80358i) q^{22} -2.69262i q^{23} +(0.413643 + 1.68193i) q^{24} +(-3.88186 - 11.9471i) q^{25} +(3.92532 + 1.27541i) q^{26} +(5.07200 + 1.12906i) q^{27} +(-0.587785 + 0.809017i) q^{28} +(1.71459 - 5.27697i) q^{29} +(-0.529485 + 7.23916i) q^{30} +(-3.24560 + 2.35807i) q^{31} +1.00000 q^{32} +(-0.788419 + 5.69020i) q^{33} -4.06013 q^{34} +(-3.39035 + 2.46323i) q^{35} +(1.33234 - 2.68791i) q^{36} +(-0.472088 + 1.45294i) q^{37} +(0.885282 - 1.21849i) q^{38} +(-3.76884 - 6.07456i) q^{39} +(3.98559 + 1.29500i) q^{40} +(1.67168 + 5.14490i) q^{41} +(1.68193 - 0.413643i) q^{42} +10.5519i q^{43} +(3.08147 + 1.22659i) q^{44} +(8.79098 - 8.98756i) q^{45} +(1.58268 + 2.17837i) q^{46} +(-2.85814 + 0.928667i) q^{47} +(-1.32326 - 1.11758i) q^{48} +(0.809017 + 0.587785i) q^{49} +(10.1628 + 7.38373i) q^{50} +(5.37261 + 4.53752i) q^{51} +(-3.92532 + 1.27541i) q^{52} +(0.246554 + 0.339353i) q^{53} +(-4.76698 + 2.06782i) q^{54} +(10.6930 + 8.87920i) q^{55} -1.00000i q^{56} +(-2.53321 + 0.623002i) q^{57} +(1.71459 + 5.27697i) q^{58} +(14.2941 + 4.64445i) q^{59} +(-3.82671 - 6.16783i) q^{60} +(1.17050 - 1.61106i) q^{61} +(1.23971 - 3.81544i) q^{62} +(-2.68791 - 1.33234i) q^{63} +(-0.809017 + 0.587785i) q^{64} -17.2964 q^{65} +(-2.70677 - 5.06689i) q^{66} -12.4111 q^{67} +(3.28471 - 2.38648i) q^{68} +(0.340206 - 4.65133i) q^{69} +(1.29500 - 3.98559i) q^{70} +(0.0399980 - 0.0550525i) q^{71} +(0.502035 + 2.95770i) q^{72} +(1.18231 + 0.384156i) q^{73} +(-0.472088 - 1.45294i) q^{74} +(-5.19617 - 21.1284i) q^{75} +1.50613i q^{76} +(1.22659 - 3.08147i) q^{77} +(6.61959 + 2.69915i) q^{78} +(-4.09697 - 5.63899i) q^{79} +(-3.98559 + 1.29500i) q^{80} +(8.61891 + 2.59122i) q^{81} +(-4.37652 - 3.17973i) q^{82} +(-1.25887 - 0.914625i) q^{83} +(-1.11758 + 1.32326i) q^{84} +(16.1820 - 5.25786i) q^{85} +(-6.20228 - 8.53670i) q^{86} +(3.62858 - 8.89900i) q^{87} +(-3.21394 + 0.818908i) q^{88} +14.2712i q^{89} +(-1.82930 + 12.4383i) q^{90} +(1.27541 + 3.92532i) q^{91} +(-2.56083 - 0.832065i) q^{92} +(-5.90451 + 3.66334i) q^{93} +(1.76643 - 2.43128i) q^{94} +(-1.95044 + 6.00283i) q^{95} +(1.72744 + 0.126348i) q^{96} +(2.16169 - 1.57056i) q^{97} -1.00000 q^{98} +(-2.08089 + 9.72985i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 12q^{2} - 4q^{3} - 12q^{4} + 6q^{6} - 12q^{8} + 10q^{9} + O(q^{10}) \) \( 48q - 12q^{2} - 4q^{3} - 12q^{4} + 6q^{6} - 12q^{8} + 10q^{9} - 8q^{11} + 6q^{12} + 36q^{15} - 12q^{16} - 24q^{17} + 30q^{19} - 8q^{22} - 4q^{24} + 18q^{25} - 20q^{26} - 22q^{27} + 8q^{29} - 24q^{30} - 32q^{31} + 48q^{32} - 14q^{33} - 4q^{34} + 6q^{35} - 10q^{36} - 20q^{37} + 20q^{38} - 6q^{39} + 22q^{44} + 12q^{45} + 20q^{46} + 20q^{47} - 4q^{48} + 12q^{49} + 28q^{50} + 8q^{51} + 20q^{52} + 20q^{53} + 18q^{54} + 16q^{55} - 2q^{57} + 8q^{58} + 30q^{59} - 4q^{60} - 20q^{61} + 8q^{62} + 4q^{63} - 12q^{64} - 14q^{66} + 36q^{67} - 24q^{68} - 70q^{69} - 4q^{70} + 10q^{72} - 20q^{73} - 20q^{74} - 30q^{75} - 16q^{77} - 16q^{78} - 20q^{79} + 26q^{81} - 10q^{82} - 46q^{83} - 10q^{84} + 10q^{85} - 30q^{86} + 8q^{87} - 8q^{88} - 38q^{90} - 36q^{91} + 10q^{92} - 36q^{93} + 50q^{95} - 4q^{96} - 2q^{97} - 48q^{98} + 70q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{3}{10}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.809017 + 0.587785i −0.572061 + 0.415627i
\(3\) 1.72744 + 0.126348i 0.997336 + 0.0729468i
\(4\) 0.309017 0.951057i 0.154508 0.475528i
\(5\) 2.46323 3.39035i 1.10159 1.51621i 0.268331 0.963327i \(-0.413528\pi\)
0.833260 0.552882i \(-0.186472\pi\)
\(6\) −1.47179 + 0.913144i −0.600856 + 0.372790i
\(7\) −0.951057 0.309017i −0.359466 0.116797i
\(8\) 0.309017 + 0.951057i 0.109254 + 0.336249i
\(9\) 2.96807 + 0.436515i 0.989358 + 0.145505i
\(10\) 4.19070i 1.32522i
\(11\) −0.214333 + 3.30969i −0.0646239 + 0.997910i
\(12\) 0.653971 1.60385i 0.188785 0.462990i
\(13\) −2.42598 3.33908i −0.672846 0.926093i 0.326975 0.945033i \(-0.393971\pi\)
−0.999821 + 0.0189400i \(0.993971\pi\)
\(14\) 0.951057 0.309017i 0.254181 0.0825883i
\(15\) 4.68344 5.54538i 1.20926 1.43181i
\(16\) −0.809017 0.587785i −0.202254 0.146946i
\(17\) 3.28471 + 2.38648i 0.796660 + 0.578807i 0.909932 0.414757i \(-0.136133\pi\)
−0.113272 + 0.993564i \(0.536133\pi\)
\(18\) −2.65780 + 1.39144i −0.626449 + 0.327966i
\(19\) −1.43242 + 0.465420i −0.328619 + 0.106775i −0.468680 0.883368i \(-0.655270\pi\)
0.140061 + 0.990143i \(0.455270\pi\)
\(20\) −2.46323 3.39035i −0.550795 0.758104i
\(21\) −1.60385 0.653971i −0.349988 0.142708i
\(22\) −1.77199 2.80358i −0.377789 0.597725i
\(23\) 2.69262i 0.561450i −0.959788 0.280725i \(-0.909425\pi\)
0.959788 0.280725i \(-0.0905748\pi\)
\(24\) 0.413643 + 1.68193i 0.0844346 + 0.343323i
\(25\) −3.88186 11.9471i −0.776371 2.38943i
\(26\) 3.92532 + 1.27541i 0.769819 + 0.250129i
\(27\) 5.07200 + 1.12906i 0.976108 + 0.217288i
\(28\) −0.587785 + 0.809017i −0.111081 + 0.152890i
\(29\) 1.71459 5.27697i 0.318392 0.979909i −0.655944 0.754809i \(-0.727729\pi\)
0.974336 0.225099i \(-0.0722707\pi\)
\(30\) −0.529485 + 7.23916i −0.0966702 + 1.32168i
\(31\) −3.24560 + 2.35807i −0.582928 + 0.423522i −0.839778 0.542929i \(-0.817315\pi\)
0.256851 + 0.966451i \(0.417315\pi\)
\(32\) 1.00000 0.176777
\(33\) −0.788419 + 5.69020i −0.137246 + 0.990537i
\(34\) −4.06013 −0.696306
\(35\) −3.39035 + 2.46323i −0.573073 + 0.416362i
\(36\) 1.33234 2.68791i 0.222056 0.447986i
\(37\) −0.472088 + 1.45294i −0.0776108 + 0.238862i −0.982333 0.187140i \(-0.940078\pi\)
0.904722 + 0.426002i \(0.140078\pi\)
\(38\) 0.885282 1.21849i 0.143612 0.197665i
\(39\) −3.76884 6.07456i −0.603498 0.972708i
\(40\) 3.98559 + 1.29500i 0.630177 + 0.204757i
\(41\) 1.67168 + 5.14490i 0.261073 + 0.803499i 0.992572 + 0.121657i \(0.0388208\pi\)
−0.731500 + 0.681842i \(0.761179\pi\)
\(42\) 1.68193 0.413643i 0.259528 0.0638266i
\(43\) 10.5519i 1.60916i 0.593847 + 0.804578i \(0.297608\pi\)
−0.593847 + 0.804578i \(0.702392\pi\)
\(44\) 3.08147 + 1.22659i 0.464549 + 0.184916i
\(45\) 8.79098 8.98756i 1.31048 1.33979i
\(46\) 1.58268 + 2.17837i 0.233354 + 0.321184i
\(47\) −2.85814 + 0.928667i −0.416903 + 0.135460i −0.509955 0.860201i \(-0.670338\pi\)
0.0930516 + 0.995661i \(0.470338\pi\)
\(48\) −1.32326 1.11758i −0.190996 0.161309i
\(49\) 0.809017 + 0.587785i 0.115574 + 0.0839693i
\(50\) 10.1628 + 7.38373i 1.43724 + 1.04422i
\(51\) 5.37261 + 4.53752i 0.752316 + 0.635379i
\(52\) −3.92532 + 1.27541i −0.544344 + 0.176868i
\(53\) 0.246554 + 0.339353i 0.0338669 + 0.0466137i 0.825615 0.564234i \(-0.190829\pi\)
−0.791748 + 0.610848i \(0.790829\pi\)
\(54\) −4.76698 + 2.06782i −0.648704 + 0.281395i
\(55\) 10.6930 + 8.87920i 1.44185 + 1.19727i
\(56\) 1.00000i 0.133631i
\(57\) −2.53321 + 0.623002i −0.335532 + 0.0825186i
\(58\) 1.71459 + 5.27697i 0.225137 + 0.692900i
\(59\) 14.2941 + 4.64445i 1.86094 + 0.604656i 0.994417 + 0.105518i \(0.0336499\pi\)
0.866522 + 0.499138i \(0.166350\pi\)
\(60\) −3.82671 6.16783i −0.494026 0.796263i
\(61\) 1.17050 1.61106i 0.149868 0.206275i −0.727482 0.686127i \(-0.759309\pi\)
0.877350 + 0.479852i \(0.159309\pi\)
\(62\) 1.23971 3.81544i 0.157443 0.484561i
\(63\) −2.68791 1.33234i −0.338645 0.167858i
\(64\) −0.809017 + 0.587785i −0.101127 + 0.0734732i
\(65\) −17.2964 −2.14535
\(66\) −2.70677 5.06689i −0.333181 0.623691i
\(67\) −12.4111 −1.51626 −0.758129 0.652104i \(-0.773886\pi\)
−0.758129 + 0.652104i \(0.773886\pi\)
\(68\) 3.28471 2.38648i 0.398330 0.289404i
\(69\) 0.340206 4.65133i 0.0409560 0.559954i
\(70\) 1.29500 3.98559i 0.154782 0.476369i
\(71\) 0.0399980 0.0550525i 0.00474689 0.00653353i −0.806637 0.591047i \(-0.798715\pi\)
0.811384 + 0.584514i \(0.198715\pi\)
\(72\) 0.502035 + 2.95770i 0.0591653 + 0.348568i
\(73\) 1.18231 + 0.384156i 0.138379 + 0.0449621i 0.377388 0.926055i \(-0.376822\pi\)
−0.239009 + 0.971017i \(0.576822\pi\)
\(74\) −0.472088 1.45294i −0.0548791 0.168901i
\(75\) −5.19617 21.1284i −0.600002 2.43969i
\(76\) 1.50613i 0.172765i
\(77\) 1.22659 3.08147i 0.139783 0.351166i
\(78\) 6.61959 + 2.69915i 0.749522 + 0.305619i
\(79\) −4.09697 5.63899i −0.460945 0.634436i 0.513760 0.857934i \(-0.328252\pi\)
−0.974704 + 0.223498i \(0.928252\pi\)
\(80\) −3.98559 + 1.29500i −0.445603 + 0.144785i
\(81\) 8.61891 + 2.59122i 0.957657 + 0.287913i
\(82\) −4.37652 3.17973i −0.483305 0.351142i
\(83\) −1.25887 0.914625i −0.138179 0.100393i 0.516548 0.856258i \(-0.327217\pi\)
−0.654728 + 0.755865i \(0.727217\pi\)
\(84\) −1.11758 + 1.32326i −0.121938 + 0.144380i
\(85\) 16.1820 5.25786i 1.75519 0.570294i
\(86\) −6.20228 8.53670i −0.668809 0.920536i
\(87\) 3.62858 8.89900i 0.389025 0.954073i
\(88\) −3.21394 + 0.818908i −0.342607 + 0.0872959i
\(89\) 14.2712i 1.51274i 0.654142 + 0.756371i \(0.273030\pi\)
−0.654142 + 0.756371i \(0.726970\pi\)
\(90\) −1.82930 + 12.4383i −0.192825 + 1.31111i
\(91\) 1.27541 + 3.92532i 0.133700 + 0.411485i
\(92\) −2.56083 0.832065i −0.266985 0.0867487i
\(93\) −5.90451 + 3.66334i −0.612269 + 0.379871i
\(94\) 1.76643 2.43128i 0.182193 0.250768i
\(95\) −1.95044 + 6.00283i −0.200111 + 0.615877i
\(96\) 1.72744 + 0.126348i 0.176306 + 0.0128953i
\(97\) 2.16169 1.57056i 0.219486 0.159466i −0.472609 0.881272i \(-0.656688\pi\)
0.692095 + 0.721806i \(0.256688\pi\)
\(98\) −1.00000 −0.101015
\(99\) −2.08089 + 9.72985i −0.209137 + 0.977886i
\(100\) −12.5620 −1.25620
\(101\) −14.6987 + 10.6792i −1.46257 + 1.06262i −0.479892 + 0.877328i \(0.659324\pi\)
−0.982683 + 0.185295i \(0.940676\pi\)
\(102\) −7.01362 0.512988i −0.694451 0.0507933i
\(103\) −5.24962 + 16.1567i −0.517261 + 1.59197i 0.261869 + 0.965103i \(0.415661\pi\)
−0.779130 + 0.626862i \(0.784339\pi\)
\(104\) 2.42598 3.33908i 0.237887 0.327423i
\(105\) −6.16783 + 3.82671i −0.601919 + 0.373449i
\(106\) −0.398934 0.129621i −0.0387479 0.0125899i
\(107\) −5.22103 16.0687i −0.504736 1.55342i −0.801213 0.598379i \(-0.795812\pi\)
0.296477 0.955040i \(-0.404188\pi\)
\(108\) 2.64114 4.47486i 0.254143 0.430594i
\(109\) 12.2023i 1.16877i 0.811478 + 0.584383i \(0.198663\pi\)
−0.811478 + 0.584383i \(0.801337\pi\)
\(110\) −13.8699 0.898207i −1.32245 0.0856406i
\(111\) −0.999078 + 2.45021i −0.0948282 + 0.232564i
\(112\) 0.587785 + 0.809017i 0.0555405 + 0.0764449i
\(113\) 16.8780 5.48398i 1.58774 0.515889i 0.623708 0.781658i \(-0.285626\pi\)
0.964037 + 0.265768i \(0.0856256\pi\)
\(114\) 1.68322 1.99300i 0.157648 0.186662i
\(115\) −9.12891 6.63254i −0.851275 0.618487i
\(116\) −4.48886 3.26135i −0.416780 0.302808i
\(117\) −5.74293 10.9696i −0.530934 1.01414i
\(118\) −14.2941 + 4.64445i −1.31588 + 0.427556i
\(119\) −2.38648 3.28471i −0.218769 0.301109i
\(120\) 6.72123 + 2.74059i 0.613562 + 0.250181i
\(121\) −10.9081 1.41875i −0.991647 0.128978i
\(122\) 1.99138i 0.180291i
\(123\) 2.23768 + 9.09871i 0.201764 + 0.820403i
\(124\) 1.23971 + 3.81544i 0.111329 + 0.342636i
\(125\) −30.1388 9.79270i −2.69570 0.875886i
\(126\) 2.95770 0.502035i 0.263492 0.0447248i
\(127\) 1.36400 1.87739i 0.121036 0.166591i −0.744200 0.667957i \(-0.767169\pi\)
0.865235 + 0.501366i \(0.167169\pi\)
\(128\) 0.309017 0.951057i 0.0273135 0.0840623i
\(129\) −1.33321 + 18.2278i −0.117383 + 1.60487i
\(130\) 13.9931 10.1666i 1.22727 0.891666i
\(131\) −11.0767 −0.967777 −0.483889 0.875130i \(-0.660776\pi\)
−0.483889 + 0.875130i \(0.660776\pi\)
\(132\) 5.16807 + 2.50820i 0.449823 + 0.218311i
\(133\) 1.50613 0.130598
\(134\) 10.0408 7.29507i 0.867393 0.630198i
\(135\) 16.3214 14.4147i 1.40472 1.24062i
\(136\) −1.25465 + 3.86141i −0.107585 + 0.331113i
\(137\) −7.87223 + 10.8352i −0.672570 + 0.925713i −0.999815 0.0192265i \(-0.993880\pi\)
0.327245 + 0.944939i \(0.393880\pi\)
\(138\) 2.45875 + 3.96297i 0.209303 + 0.337350i
\(139\) 13.5052 + 4.38810i 1.14550 + 0.372194i 0.819445 0.573158i \(-0.194282\pi\)
0.326051 + 0.945352i \(0.394282\pi\)
\(140\) 1.29500 + 3.98559i 0.109447 + 0.336844i
\(141\) −5.05460 + 1.24309i −0.425674 + 0.104687i
\(142\) 0.0680487i 0.00571052i
\(143\) 11.5713 7.31357i 0.967639 0.611592i
\(144\) −2.14464 2.09774i −0.178720 0.174811i
\(145\) −13.6673 18.8115i −1.13501 1.56221i
\(146\) −1.18231 + 0.384156i −0.0978488 + 0.0317930i
\(147\) 1.32326 + 1.11758i 0.109141 + 0.0921764i
\(148\) 1.23594 + 0.897965i 0.101594 + 0.0738123i
\(149\) −10.0883 7.32960i −0.826469 0.600465i 0.0920894 0.995751i \(-0.470645\pi\)
−0.918558 + 0.395286i \(0.870645\pi\)
\(150\) 16.6227 + 14.0390i 1.35724 + 1.14628i
\(151\) 6.39257 2.07707i 0.520220 0.169030i −0.0371253 0.999311i \(-0.511820\pi\)
0.557345 + 0.830281i \(0.311820\pi\)
\(152\) −0.885282 1.21849i −0.0718059 0.0988323i
\(153\) 8.70753 + 8.51708i 0.703962 + 0.688565i
\(154\) 0.818908 + 3.21394i 0.0659895 + 0.258986i
\(155\) 16.8122i 1.35039i
\(156\) −6.94189 + 1.70724i −0.555796 + 0.136689i
\(157\) −5.28211 16.2567i −0.421558 1.29742i −0.906252 0.422739i \(-0.861069\pi\)
0.484693 0.874684i \(-0.338931\pi\)
\(158\) 6.62903 + 2.15390i 0.527377 + 0.171355i
\(159\) 0.383031 + 0.617363i 0.0303763 + 0.0489600i
\(160\) 2.46323 3.39035i 0.194735 0.268030i
\(161\) −0.832065 + 2.56083i −0.0655759 + 0.201822i
\(162\) −8.49592 + 2.96973i −0.667503 + 0.233324i
\(163\) 3.23083 2.34734i 0.253058 0.183858i −0.454023 0.890990i \(-0.650012\pi\)
0.707081 + 0.707132i \(0.250012\pi\)
\(164\) 5.40967 0.422424
\(165\) 17.3497 + 16.6893i 1.35067 + 1.29926i
\(166\) 1.55605 0.120773
\(167\) 2.43259 1.76738i 0.188239 0.136764i −0.489674 0.871905i \(-0.662884\pi\)
0.677914 + 0.735142i \(0.262884\pi\)
\(168\) 0.126348 1.72744i 0.00974793 0.133275i
\(169\) −1.24683 + 3.83734i −0.0959097 + 0.295180i
\(170\) −10.0010 + 13.7652i −0.767044 + 1.05575i
\(171\) −4.45468 + 0.756130i −0.340658 + 0.0578227i
\(172\) 10.0355 + 3.26073i 0.765199 + 0.248628i
\(173\) −0.935195 2.87824i −0.0711016 0.218828i 0.909191 0.416379i \(-0.136701\pi\)
−0.980293 + 0.197551i \(0.936701\pi\)
\(174\) 2.29512 + 9.33226i 0.173992 + 0.707477i
\(175\) 12.5620i 0.949594i
\(176\) 2.11879 2.55162i 0.159710 0.192335i
\(177\) 24.1054 + 9.82902i 1.81187 + 0.738795i
\(178\) −8.38839 11.5456i −0.628737 0.865382i
\(179\) 6.42177 2.08656i 0.479985 0.155957i −0.0590238 0.998257i \(-0.518799\pi\)
0.539009 + 0.842300i \(0.318799\pi\)
\(180\) −5.83111 11.1380i −0.434625 0.830180i
\(181\) −4.39551 3.19353i −0.326716 0.237373i 0.412320 0.911039i \(-0.364719\pi\)
−0.739036 + 0.673666i \(0.764719\pi\)
\(182\) −3.33908 2.42598i −0.247509 0.179826i
\(183\) 2.22553 2.63512i 0.164516 0.194793i
\(184\) 2.56083 0.832065i 0.188787 0.0613406i
\(185\) 3.76310 + 5.17946i 0.276669 + 0.380802i
\(186\) 2.62359 6.43429i 0.192371 0.471785i
\(187\) −8.60255 + 10.3599i −0.629081 + 0.757590i
\(188\) 3.00523i 0.219179i
\(189\) −4.47486 2.64114i −0.325498 0.192114i
\(190\) −1.95044 6.00283i −0.141500 0.435491i
\(191\) −5.97585 1.94167i −0.432397 0.140494i 0.0847279 0.996404i \(-0.472998\pi\)
−0.517125 + 0.855910i \(0.672998\pi\)
\(192\) −1.47179 + 0.913144i −0.106217 + 0.0659005i
\(193\) 5.04603 6.94526i 0.363221 0.499931i −0.587822 0.808991i \(-0.700014\pi\)
0.951043 + 0.309060i \(0.100014\pi\)
\(194\) −0.825690 + 2.54121i −0.0592811 + 0.182449i
\(195\) −29.8784 2.18536i −2.13964 0.156497i
\(196\) 0.809017 0.587785i 0.0577869 0.0419847i
\(197\) 7.83655 0.558331 0.279165 0.960243i \(-0.409942\pi\)
0.279165 + 0.960243i \(0.409942\pi\)
\(198\) −4.03559 9.09473i −0.286797 0.646334i
\(199\) −4.78220 −0.339001 −0.169500 0.985530i \(-0.554215\pi\)
−0.169500 + 0.985530i \(0.554215\pi\)
\(200\) 10.1628 7.38373i 0.718621 0.522109i
\(201\) −21.4394 1.56811i −1.51222 0.110606i
\(202\) 5.61440 17.2794i 0.395028 1.21577i
\(203\) −3.26135 + 4.48886i −0.228902 + 0.315056i
\(204\) 5.97566 3.70748i 0.418380 0.259576i
\(205\) 21.5607 + 7.00551i 1.50587 + 0.489286i
\(206\) −5.24962 16.1567i −0.365759 1.12569i
\(207\) 1.17537 7.99189i 0.0816937 0.555474i
\(208\) 4.12733i 0.286179i
\(209\) −1.23338 4.84061i −0.0853149 0.334832i
\(210\) 2.74059 6.72123i 0.189119 0.463809i
\(211\) −6.35250 8.74347i −0.437324 0.601925i 0.532291 0.846562i \(-0.321331\pi\)
−0.969615 + 0.244636i \(0.921331\pi\)
\(212\) 0.398934 0.129621i 0.0273989 0.00890243i
\(213\) 0.0760498 0.0900461i 0.00521084 0.00616986i
\(214\) 13.6688 + 9.93099i 0.934383 + 0.678869i
\(215\) 35.7747 + 25.9919i 2.43982 + 1.77263i
\(216\) 0.493535 + 5.17266i 0.0335808 + 0.351955i
\(217\) 3.81544 1.23971i 0.259009 0.0841570i
\(218\) −7.17231 9.87184i −0.485770 0.668605i
\(219\) 1.99383 + 0.812988i 0.134731 + 0.0549366i
\(220\) 11.7490 7.42587i 0.792114 0.500652i
\(221\) 16.7575i 1.12723i
\(222\) −0.631927 2.56951i −0.0424122 0.172454i
\(223\) 3.71276 + 11.4267i 0.248625 + 0.765189i 0.995019 + 0.0996850i \(0.0317835\pi\)
−0.746394 + 0.665504i \(0.768216\pi\)
\(224\) −0.951057 0.309017i −0.0635451 0.0206471i
\(225\) −6.30653 37.1544i −0.420436 2.47696i
\(226\) −10.4312 + 14.3572i −0.693870 + 0.955030i
\(227\) 3.10942 9.56980i 0.206379 0.635170i −0.793275 0.608864i \(-0.791626\pi\)
0.999654 0.0263062i \(-0.00837450\pi\)
\(228\) −0.190296 + 2.60175i −0.0126027 + 0.172305i
\(229\) −15.0942 + 10.9666i −0.997456 + 0.724694i −0.961541 0.274661i \(-0.911434\pi\)
−0.0359145 + 0.999355i \(0.511434\pi\)
\(230\) 11.2839 0.744042
\(231\) 2.50820 5.16807i 0.165027 0.340034i
\(232\) 5.54854 0.364279
\(233\) 9.41172 6.83802i 0.616582 0.447973i −0.235144 0.971961i \(-0.575556\pi\)
0.851726 + 0.523987i \(0.175556\pi\)
\(234\) 11.0939 + 5.49898i 0.725231 + 0.359480i
\(235\) −3.89176 + 11.9776i −0.253871 + 0.781334i
\(236\) 8.83427 12.1593i 0.575062 0.791505i
\(237\) −6.36478 10.2586i −0.413437 0.666370i
\(238\) 3.86141 + 1.25465i 0.250298 + 0.0813268i
\(239\) 7.36083 + 22.6543i 0.476133 + 1.46539i 0.844424 + 0.535675i \(0.179943\pi\)
−0.368291 + 0.929710i \(0.620057\pi\)
\(240\) −7.04847 + 1.73346i −0.454977 + 0.111894i
\(241\) 3.08815i 0.198925i −0.995041 0.0994627i \(-0.968288\pi\)
0.995041 0.0994627i \(-0.0317124\pi\)
\(242\) 9.65878 5.26384i 0.620890 0.338372i
\(243\) 14.5612 + 5.56514i 0.934103 + 0.357004i
\(244\) −1.17050 1.61106i −0.0749339 0.103138i
\(245\) 3.98559 1.29500i 0.254630 0.0827343i
\(246\) −7.15840 6.04573i −0.456403 0.385462i
\(247\) 5.02909 + 3.65385i 0.319993 + 0.232489i
\(248\) −3.24560 2.35807i −0.206096 0.149738i
\(249\) −2.05906 1.73901i −0.130488 0.110205i
\(250\) 30.1388 9.79270i 1.90615 0.619345i
\(251\) 4.79621 + 6.60141i 0.302734 + 0.416678i 0.933098 0.359622i \(-0.117094\pi\)
−0.630364 + 0.776300i \(0.717094\pi\)
\(252\) −2.09774 + 2.14464i −0.132145 + 0.135100i
\(253\) 8.91174 + 0.577118i 0.560276 + 0.0362831i
\(254\) 2.32058i 0.145606i
\(255\) 28.6177 7.03805i 1.79211 0.440740i
\(256\) 0.309017 + 0.951057i 0.0193136 + 0.0594410i
\(257\) −13.5440 4.40070i −0.844850 0.274508i −0.145563 0.989349i \(-0.546499\pi\)
−0.699287 + 0.714841i \(0.746499\pi\)
\(258\) −9.63544 15.5302i −0.599877 0.966871i
\(259\) 0.897965 1.23594i 0.0557968 0.0767978i
\(260\) −5.34487 + 16.4498i −0.331475 + 1.02018i
\(261\) 7.39251 14.9140i 0.457585 0.923153i
\(262\) 8.96125 6.51073i 0.553628 0.402234i
\(263\) 5.34870 0.329815 0.164907 0.986309i \(-0.447267\pi\)
0.164907 + 0.986309i \(0.447267\pi\)
\(264\) −5.65534 + 1.00854i −0.348062 + 0.0620712i
\(265\) 1.75785 0.107984
\(266\) −1.21849 + 0.885282i −0.0747102 + 0.0542801i
\(267\) −1.80313 + 24.6526i −0.110350 + 1.50871i
\(268\) −3.83524 + 11.8037i −0.234275 + 0.721024i
\(269\) −13.2031 + 18.1726i −0.805010 + 1.10800i 0.187064 + 0.982348i \(0.440103\pi\)
−0.992074 + 0.125653i \(0.959897\pi\)
\(270\) −4.73155 + 21.2552i −0.287953 + 1.29355i
\(271\) 10.7641 + 3.49748i 0.653874 + 0.212457i 0.617121 0.786868i \(-0.288299\pi\)
0.0367524 + 0.999324i \(0.488299\pi\)
\(272\) −1.25465 3.86141i −0.0760743 0.234133i
\(273\) 1.70724 + 6.94189i 0.103327 + 0.420142i
\(274\) 13.3930i 0.809103i
\(275\) 40.3733 10.2871i 2.43460 0.620334i
\(276\) −4.31854 1.76089i −0.259946 0.105993i
\(277\) −12.1770 16.7603i −0.731648 1.00703i −0.999056 0.0434437i \(-0.986167\pi\)
0.267408 0.963583i \(-0.413833\pi\)
\(278\) −13.5052 + 4.38810i −0.809988 + 0.263181i
\(279\) −10.6625 + 5.58217i −0.638348 + 0.334196i
\(280\) −3.39035 2.46323i −0.202612 0.147206i
\(281\) 20.8026 + 15.1140i 1.24098 + 0.901626i 0.997663 0.0683205i \(-0.0217641\pi\)
0.243318 + 0.969947i \(0.421764\pi\)
\(282\) 3.35858 3.97670i 0.200001 0.236809i
\(283\) −9.92191 + 3.22383i −0.589797 + 0.191637i −0.588685 0.808363i \(-0.700354\pi\)
−0.00111205 + 0.999999i \(0.500354\pi\)
\(284\) −0.0399980 0.0550525i −0.00237345 0.00326677i
\(285\) −4.12770 + 10.1231i −0.244504 + 0.599639i
\(286\) −5.06255 + 12.7182i −0.299355 + 0.752045i
\(287\) 5.40967i 0.319323i
\(288\) 2.96807 + 0.436515i 0.174895 + 0.0257219i
\(289\) −0.159251 0.490125i −0.00936773 0.0288309i
\(290\) 22.1142 + 7.18534i 1.29859 + 0.421937i
\(291\) 3.93261 2.43991i 0.230534 0.143030i
\(292\) 0.730709 1.00573i 0.0427615 0.0588561i
\(293\) 7.94195 24.4428i 0.463974 1.42796i −0.396295 0.918123i \(-0.629704\pi\)
0.860269 0.509841i \(-0.170296\pi\)
\(294\) −1.72744 0.126348i −0.100746 0.00736874i
\(295\) 50.9561 37.0218i 2.96678 2.15549i
\(296\) −1.52771 −0.0887963
\(297\) −4.82394 + 16.5448i −0.279913 + 0.960025i
\(298\) 12.4699 0.722360
\(299\) −8.99086 + 6.53224i −0.519955 + 0.377769i
\(300\) −21.7000 1.58717i −1.25285 0.0916354i
\(301\) 3.26073 10.0355i 0.187945 0.578436i
\(302\) −3.95082 + 5.43784i −0.227344 + 0.312913i
\(303\) −26.7404 + 16.5905i −1.53619 + 0.953102i
\(304\) 1.43242 + 0.465420i 0.0821547 + 0.0266937i
\(305\) −2.57883 7.93683i −0.147664 0.454462i
\(306\) −12.0508 1.77231i −0.688896 0.101316i
\(307\) 19.5325i 1.11478i −0.830250 0.557391i \(-0.811803\pi\)
0.830250 0.557391i \(-0.188197\pi\)
\(308\) −2.55162 2.11879i −0.145392 0.120729i
\(309\) −11.1098 + 27.2464i −0.632012 + 1.54999i
\(310\) −9.88196 13.6013i −0.561257 0.772505i
\(311\) 6.77640 2.20178i 0.384254 0.124852i −0.110519 0.993874i \(-0.535251\pi\)
0.494773 + 0.869022i \(0.335251\pi\)
\(312\) 4.61261 5.46153i 0.261138 0.309198i
\(313\) −19.1918 13.9437i −1.08478 0.788142i −0.106274 0.994337i \(-0.533892\pi\)
−0.978511 + 0.206195i \(0.933892\pi\)
\(314\) 13.8287 + 10.0472i 0.780401 + 0.566995i
\(315\) −11.1380 + 5.83111i −0.627557 + 0.328546i
\(316\) −6.62903 + 2.15390i −0.372912 + 0.121166i
\(317\) 13.7187 + 18.8821i 0.770517 + 1.06053i 0.996266 + 0.0863402i \(0.0275172\pi\)
−0.225749 + 0.974186i \(0.572483\pi\)
\(318\) −0.672755 0.274317i −0.0377262 0.0153829i
\(319\) 17.0977 + 6.80580i 0.957285 + 0.381052i
\(320\) 4.19070i 0.234267i
\(321\) −6.98876 28.4173i −0.390075 1.58610i
\(322\) −0.832065 2.56083i −0.0463692 0.142710i
\(323\) −5.81580 1.88967i −0.323600 0.105144i
\(324\) 5.12778 7.39634i 0.284877 0.410908i
\(325\) −30.4751 + 41.9453i −1.69045 + 2.32671i
\(326\) −1.23407 + 3.79807i −0.0683487 + 0.210356i
\(327\) −1.54173 + 21.0786i −0.0852577 + 1.16565i
\(328\) −4.37652 + 3.17973i −0.241653 + 0.175571i
\(329\) 3.00523 0.165684
\(330\) −23.8459 3.30403i −1.31267 0.181881i
\(331\) 14.0689 0.773295 0.386647 0.922228i \(-0.373633\pi\)
0.386647 + 0.922228i \(0.373633\pi\)
\(332\) −1.25887 + 0.914625i −0.0690896 + 0.0501966i
\(333\) −2.03542 + 4.10635i −0.111540 + 0.225027i
\(334\) −0.929166 + 2.85968i −0.0508417 + 0.156475i
\(335\) −30.5714 + 42.0780i −1.67030 + 2.29896i
\(336\) 0.913144 + 1.47179i 0.0498161 + 0.0802928i
\(337\) −15.5017 5.03682i −0.844434 0.274373i −0.145321 0.989385i \(-0.546421\pi\)
−0.699113 + 0.715011i \(0.746421\pi\)
\(338\) −1.24683 3.83734i −0.0678184 0.208724i
\(339\) 29.8485 7.34074i 1.62115 0.398694i
\(340\) 17.0148i 0.922756i
\(341\) −7.10884 11.2474i −0.384965 0.609079i
\(342\) 3.15947 3.23012i 0.170845 0.174665i
\(343\) −0.587785 0.809017i −0.0317374 0.0436828i
\(344\) −10.0355 + 3.26073i −0.541077 + 0.175807i
\(345\) −14.9316 12.6107i −0.803890 0.678938i
\(346\) 2.44837 + 1.77885i 0.131625 + 0.0956314i
\(347\) −29.0078 21.0754i −1.55722 1.13139i −0.938243 0.345978i \(-0.887547\pi\)
−0.618977 0.785409i \(-0.712453\pi\)
\(348\) −7.34216 6.20093i −0.393581 0.332405i
\(349\) 2.33777 0.759589i 0.125138 0.0406599i −0.245778 0.969326i \(-0.579044\pi\)
0.370917 + 0.928666i \(0.379044\pi\)
\(350\) −7.38373 10.1628i −0.394677 0.543226i
\(351\) −8.53457 19.6749i −0.455541 1.05017i
\(352\) −0.214333 + 3.30969i −0.0114240 + 0.176407i
\(353\) 24.5100i 1.30454i −0.757989 0.652268i \(-0.773818\pi\)
0.757989 0.652268i \(-0.226182\pi\)
\(354\) −25.2790 + 6.21696i −1.34357 + 0.330428i
\(355\) −0.0881228 0.271214i −0.00467707 0.0143946i
\(356\) 13.5727 + 4.41004i 0.719352 + 0.233732i
\(357\) −3.70748 5.97566i −0.196221 0.316265i
\(358\) −3.96887 + 5.46268i −0.209761 + 0.288712i
\(359\) −4.80659 + 14.7932i −0.253682 + 0.780753i 0.740404 + 0.672162i \(0.234634\pi\)
−0.994086 + 0.108592i \(0.965366\pi\)
\(360\) 11.2642 + 5.58341i 0.593677 + 0.294272i
\(361\) −13.5361 + 9.83457i −0.712427 + 0.517609i
\(362\) 5.43315 0.285560
\(363\) −18.6638 3.82902i −0.979597 0.200972i
\(364\) 4.12733 0.216331
\(365\) 4.21473 3.06218i 0.220609 0.160282i
\(366\) −0.251606 + 3.43998i −0.0131517 + 0.179811i
\(367\) −1.34729 + 4.14654i −0.0703281 + 0.216448i −0.980043 0.198786i \(-0.936300\pi\)
0.909715 + 0.415234i \(0.136300\pi\)
\(368\) −1.58268 + 2.17837i −0.0825030 + 0.113556i
\(369\) 2.71584 + 16.0002i 0.141381 + 0.832935i
\(370\) −6.08883 1.97838i −0.316543 0.102851i
\(371\) −0.129621 0.398934i −0.00672961 0.0207116i
\(372\) 1.65945 + 6.74756i 0.0860384 + 0.349845i
\(373\) 2.62893i 0.136121i −0.997681 0.0680604i \(-0.978319\pi\)
0.997681 0.0680604i \(-0.0216811\pi\)
\(374\) 0.870221 13.4378i 0.0449981 0.694851i
\(375\) −50.8257 20.7242i −2.62463 1.07020i
\(376\) −1.76643 2.43128i −0.0910967 0.125384i
\(377\) −21.7798 + 7.07668i −1.12172 + 0.364467i
\(378\) 5.17266 0.493535i 0.266053 0.0253847i
\(379\) −10.5493 7.66451i −0.541881 0.393699i 0.282902 0.959149i \(-0.408703\pi\)
−0.824783 + 0.565449i \(0.808703\pi\)
\(380\) 5.10631 + 3.70995i 0.261948 + 0.190316i
\(381\) 2.59343 3.07073i 0.132866 0.157318i
\(382\) 5.97585 1.94167i 0.305751 0.0993446i
\(383\) 4.13827 + 5.69585i 0.211456 + 0.291044i 0.901549 0.432676i \(-0.142431\pi\)
−0.690093 + 0.723720i \(0.742431\pi\)
\(384\) 0.653971 1.60385i 0.0333728 0.0818459i
\(385\) −7.42587 11.7490i −0.378457 0.598782i
\(386\) 8.58482i 0.436956i
\(387\) −4.60608 + 31.3189i −0.234140 + 1.59203i
\(388\) −0.825690 2.54121i −0.0419181 0.129011i
\(389\) 14.9751 + 4.86570i 0.759267 + 0.246701i 0.662964 0.748651i \(-0.269298\pi\)
0.0963031 + 0.995352i \(0.469298\pi\)
\(390\) 25.4566 15.7941i 1.28905 0.799765i
\(391\) 6.42589 8.84448i 0.324971 0.447285i
\(392\) −0.309017 + 0.951057i −0.0156077 + 0.0480356i
\(393\) −19.1343 1.39952i −0.965199 0.0705963i
\(394\) −6.33990 + 4.60621i −0.319399 + 0.232057i
\(395\) −29.2099 −1.46971
\(396\) 8.61060 + 4.98573i 0.432699 + 0.250542i
\(397\) 20.1413 1.01086 0.505431 0.862867i \(-0.331334\pi\)
0.505431 + 0.862867i \(0.331334\pi\)
\(398\) 3.86888 2.81090i 0.193929 0.140898i
\(399\) 2.60175 + 0.190296i 0.130250 + 0.00952672i
\(400\) −3.88186 + 11.9471i −0.194093 + 0.597356i
\(401\) −9.13031 + 12.5668i −0.455946 + 0.627556i −0.973662 0.227997i \(-0.926782\pi\)
0.517716 + 0.855553i \(0.326782\pi\)
\(402\) 18.2666 11.3331i 0.911053 0.565245i
\(403\) 15.7475 + 5.11669i 0.784441 + 0.254880i
\(404\) 5.61440 + 17.2794i 0.279327 + 0.859680i
\(405\) 30.0155 22.8383i 1.49148 1.13485i
\(406\) 5.54854i 0.275369i
\(407\) −4.70759 1.87388i −0.233347 0.0928848i
\(408\) −2.65521 + 6.51182i −0.131452 + 0.322383i
\(409\) 19.5167 + 26.8624i 0.965039 + 1.32826i 0.944513 + 0.328473i \(0.106534\pi\)
0.0205257 + 0.999789i \(0.493466\pi\)
\(410\) −21.5607 + 7.00551i −1.06481 + 0.345977i
\(411\) −14.9678 + 17.7225i −0.738306 + 0.874185i
\(412\) 13.7437 + 9.98538i 0.677103 + 0.491944i
\(413\) −12.1593 8.83427i −0.598322 0.434706i
\(414\) 3.74662 + 7.15644i 0.184136 + 0.351720i
\(415\) −6.20179 + 2.01508i −0.304434 + 0.0989166i
\(416\) −2.42598 3.33908i −0.118944 0.163712i
\(417\) 22.7749 + 9.28652i 1.11529 + 0.454763i
\(418\) 3.84307 + 3.19117i 0.187971 + 0.156085i
\(419\) 2.62083i 0.128036i 0.997949 + 0.0640180i \(0.0203915\pi\)
−0.997949 + 0.0640180i \(0.979608\pi\)
\(420\) 1.73346 + 7.04847i 0.0845839 + 0.343930i
\(421\) −4.02162 12.3773i −0.196002 0.603232i −0.999963 0.00855057i \(-0.997278\pi\)
0.803962 0.594681i \(-0.202722\pi\)
\(422\) 10.2786 + 3.33971i 0.500353 + 0.162574i
\(423\) −8.88856 + 1.50873i −0.432176 + 0.0733570i
\(424\) −0.246554 + 0.339353i −0.0119737 + 0.0164804i
\(425\) 15.7608 48.5069i 0.764513 2.35293i
\(426\) −0.00859778 + 0.117550i −0.000416564 + 0.00569530i
\(427\) −1.61106 + 1.17050i −0.0779647 + 0.0566447i
\(428\) −16.8956 −0.816681
\(429\) 20.9127 11.1717i 1.00968 0.539376i
\(430\) −44.2200 −2.13248
\(431\) −9.32044 + 6.77169i −0.448950 + 0.326181i −0.789181 0.614161i \(-0.789495\pi\)
0.340231 + 0.940342i \(0.389495\pi\)
\(432\) −3.43969 3.89468i −0.165492 0.187383i
\(433\) 1.09645 3.37452i 0.0526919 0.162169i −0.921248 0.388976i \(-0.872829\pi\)
0.973940 + 0.226807i \(0.0728288\pi\)
\(434\) −2.35807 + 3.24560i −0.113191 + 0.155794i
\(435\) −21.2326 34.2224i −1.01803 1.64084i
\(436\) 11.6050 + 3.77071i 0.555781 + 0.180584i
\(437\) 1.25320 + 3.85695i 0.0599487 + 0.184503i
\(438\) −2.09090 + 0.514223i −0.0999073 + 0.0245705i
\(439\) 7.44024i 0.355103i 0.984111 + 0.177552i \(0.0568177\pi\)
−0.984111 + 0.177552i \(0.943182\pi\)
\(440\) −5.14029 + 12.9135i −0.245054 + 0.615628i
\(441\) 2.14464 + 2.09774i 0.102126 + 0.0998922i
\(442\) 9.84980 + 13.5571i 0.468507 + 0.644845i
\(443\) 3.79094 1.23175i 0.180113 0.0585223i −0.217572 0.976044i \(-0.569814\pi\)
0.397685 + 0.917522i \(0.369814\pi\)
\(444\) 2.02156 + 1.70734i 0.0959389 + 0.0810266i
\(445\) 48.3843 + 35.1532i 2.29363 + 1.66642i
\(446\) −9.72014 7.06210i −0.460262 0.334400i
\(447\) −16.5009 13.9361i −0.780465 0.659153i
\(448\) 0.951057 0.309017i 0.0449332 0.0145997i
\(449\) −21.5308 29.6346i −1.01610 1.39854i −0.914902 0.403676i \(-0.867732\pi\)
−0.101199 0.994866i \(-0.532268\pi\)
\(450\) 26.9409 + 26.3517i 1.27001 + 1.24223i
\(451\) −17.3863 + 4.43002i −0.818691 + 0.208602i
\(452\) 17.7465i 0.834727i
\(453\) 11.3052 2.78032i 0.531164 0.130631i
\(454\) 3.10942 + 9.56980i 0.145932 + 0.449133i
\(455\) 16.4498 + 5.34487i 0.771180 + 0.250572i
\(456\) −1.37532 2.21671i −0.0644051 0.103807i
\(457\) 9.76978 13.4469i 0.457011 0.629022i −0.516874 0.856061i \(-0.672905\pi\)
0.973886 + 0.227039i \(0.0729046\pi\)
\(458\) 5.76549 17.7443i 0.269404 0.829139i
\(459\) 13.9656 + 15.8129i 0.651858 + 0.738083i
\(460\) −9.12891 + 6.63254i −0.425637 + 0.309244i
\(461\) 27.6878 1.28955 0.644774 0.764373i \(-0.276952\pi\)
0.644774 + 0.764373i \(0.276952\pi\)
\(462\) 1.00854 + 5.65534i 0.0469214 + 0.263110i
\(463\) 19.4322 0.903093 0.451547 0.892248i \(-0.350872\pi\)
0.451547 + 0.892248i \(0.350872\pi\)
\(464\) −4.48886 + 3.26135i −0.208390 + 0.151404i
\(465\) −2.12418 + 29.0420i −0.0985064 + 1.34679i
\(466\) −3.59496 + 11.0641i −0.166533 + 0.512537i
\(467\) 20.1086 27.6771i 0.930514 1.28074i −0.0291451 0.999575i \(-0.509278\pi\)
0.959659 0.281167i \(-0.0907215\pi\)
\(468\) −12.2074 + 2.07206i −0.564286 + 0.0957810i
\(469\) 11.8037 + 3.83524i 0.545043 + 0.177095i
\(470\) −3.89176 11.9776i −0.179514 0.552486i
\(471\) −7.07052 28.7497i −0.325792 1.32472i
\(472\) 15.0298i 0.691801i
\(473\) −34.9237 2.26163i −1.60579 0.103990i
\(474\) 11.1791 + 4.55829i 0.513472 + 0.209369i
\(475\) 11.1209 + 15.3066i 0.510261 + 0.702313i
\(476\) −3.86141 + 1.25465i −0.176988 + 0.0575067i
\(477\) 0.583659 + 1.11485i 0.0267239 + 0.0510454i
\(478\) −19.2709 14.0011i −0.881431 0.640397i
\(479\) −27.4580 19.9494i −1.25459 0.911513i −0.256111 0.966647i \(-0.582441\pi\)
−0.998479 + 0.0551341i \(0.982441\pi\)
\(480\) 4.68344 5.54538i 0.213769 0.253111i
\(481\) 5.99675 1.94846i 0.273428 0.0888422i
\(482\) 1.81517 + 2.49837i 0.0826787 + 0.113798i
\(483\) −1.76089 + 4.31854i −0.0801234 + 0.196501i
\(484\) −4.72011 + 9.93582i −0.214551 + 0.451628i
\(485\) 11.1975i 0.508452i
\(486\) −15.0514 + 4.05658i −0.682745 + 0.184010i
\(487\) −9.87423 30.3898i −0.447444 1.37709i −0.879781 0.475380i \(-0.842311\pi\)
0.432337 0.901712i \(-0.357689\pi\)
\(488\) 1.89392 + 0.615371i 0.0857336 + 0.0278565i
\(489\) 5.87764 3.64667i 0.265796 0.164908i
\(490\) −2.46323 + 3.39035i −0.111277 + 0.153160i
\(491\) 9.78084 30.1023i 0.441403 1.35850i −0.444977 0.895542i \(-0.646788\pi\)
0.886380 0.462958i \(-0.153212\pi\)
\(492\) 9.34486 + 0.683499i 0.421299 + 0.0308145i
\(493\) 18.2253 13.2415i 0.820828 0.596367i
\(494\) −6.21630 −0.279684
\(495\) 27.8618 + 31.0218i 1.25230 + 1.39433i
\(496\) 4.01179 0.180135
\(497\) −0.0550525 + 0.0399980i −0.00246944 + 0.00179416i
\(498\) 2.68798 + 0.196603i 0.120451 + 0.00881001i
\(499\) 5.99036 18.4364i 0.268166 0.825329i −0.722782 0.691076i \(-0.757137\pi\)
0.990947 0.134252i \(-0.0428632\pi\)
\(500\) −18.6268 + 25.6376i −0.833017 + 1.14655i
\(501\) 4.42544 2.74568i 0.197714 0.122668i
\(502\) −7.76043 2.52152i −0.346365 0.112541i
\(503\) −3.47199 10.6857i −0.154808 0.476451i 0.843333 0.537391i \(-0.180590\pi\)
−0.998141 + 0.0609401i \(0.980590\pi\)
\(504\) 0.436515 2.96807i 0.0194439 0.132208i
\(505\) 76.1391i 3.38814i
\(506\) −7.54897 + 4.77129i −0.335593 + 0.212110i
\(507\) −2.63865 + 6.47122i −0.117187 + 0.287397i
\(508\) −1.36400 1.87739i −0.0605179 0.0832957i
\(509\) −0.666107 + 0.216431i −0.0295247 + 0.00959315i −0.323742 0.946145i \(-0.604941\pi\)
0.294217 + 0.955739i \(0.404941\pi\)
\(510\) −19.0154 + 22.5150i −0.842014 + 0.996980i
\(511\) −1.00573 0.730709i −0.0444911 0.0323246i
\(512\) −0.809017 0.587785i −0.0357538 0.0259767i
\(513\) −7.79071 + 0.743329i −0.343968 + 0.0328188i
\(514\) 13.5440 4.40070i 0.597399 0.194107i
\(515\) 41.8457 + 57.5957i 1.84394 + 2.53797i
\(516\) 16.9237 + 6.90066i 0.745024 + 0.303785i
\(517\) −2.46101 9.65862i −0.108235 0.424786i
\(518\) 1.52771i 0.0671237i
\(519\) −1.25183 5.09013i −0.0549493 0.223432i
\(520\) −5.34487 16.4498i −0.234388 0.721373i
\(521\) 0.108855 + 0.0353692i 0.00476903 + 0.00154955i 0.311401 0.950279i \(-0.399202\pi\)
−0.306632 + 0.951828i \(0.599202\pi\)
\(522\) 2.78556 + 16.4109i 0.121921 + 0.718285i
\(523\) −8.07085 + 11.1086i −0.352914 + 0.485744i −0.948157 0.317801i \(-0.897056\pi\)
0.595244 + 0.803545i \(0.297056\pi\)
\(524\) −3.42289 + 10.5346i −0.149530 + 0.460206i
\(525\) −1.58717 + 21.7000i −0.0692699 + 0.947064i
\(526\) −4.32719 + 3.14388i −0.188674 + 0.137080i
\(527\) −16.2884 −0.709533
\(528\) 3.98246 4.14005i 0.173314 0.180173i
\(529\) 15.7498 0.684774
\(530\) −1.42213 + 1.03324i −0.0617732 + 0.0448809i
\(531\) 40.3987 + 20.0247i 1.75315 + 0.868997i
\(532\) 0.465420 1.43242i 0.0201785 0.0621031i
\(533\) 13.1238 18.0633i 0.568453 0.782409i
\(534\) −13.0317 21.0042i −0.563935 0.908941i
\(535\) −67.3390 21.8798i −2.91132 0.945945i
\(536\) −3.83524 11.8037i −0.165657 0.509841i
\(537\) 11.3568 2.79302i 0.490083 0.120528i
\(538\) 22.4625i 0.968428i
\(539\) −2.11879 + 2.55162i −0.0912626 + 0.109906i
\(540\) −8.66561 19.9770i −0.372908 0.859673i
\(541\) −8.07713 11.1172i −0.347263 0.477966i 0.599282 0.800538i \(-0.295453\pi\)
−0.946545 + 0.322572i \(0.895453\pi\)
\(542\) −10.7641 + 3.49748i −0.462359 + 0.150229i
\(543\) −7.18948 6.07198i −0.308530 0.260574i
\(544\) 3.28471 + 2.38648i 0.140831 + 0.102320i
\(545\) 41.3699 + 30.0570i 1.77209 + 1.28750i
\(546\) −5.46153 4.61261i −0.233732 0.197402i
\(547\) 8.30872 2.69967i 0.355255 0.115429i −0.125952 0.992036i \(-0.540198\pi\)
0.481207 + 0.876607i \(0.340198\pi\)
\(548\) 7.87223 + 10.8352i 0.336285 + 0.462856i
\(549\) 4.17739 4.27080i 0.178287 0.182273i
\(550\) −26.6161 + 32.0533i −1.13491 + 1.36676i
\(551\) 8.35683i 0.356013i
\(552\) 4.52880 1.11378i 0.192759 0.0474058i
\(553\) 2.15390 + 6.62903i 0.0915932 + 0.281895i
\(554\) 19.7029 + 6.40185i 0.837095 + 0.271989i
\(555\) 5.84610 + 9.42265i 0.248153 + 0.399969i
\(556\) 8.34667 11.4882i 0.353978 0.487208i
\(557\) 2.19604 6.75870i 0.0930490 0.286375i −0.893691 0.448682i \(-0.851893\pi\)
0.986740 + 0.162307i \(0.0518935\pi\)
\(558\) 5.34504 10.7833i 0.226274 0.456495i
\(559\) 35.2337 25.5988i 1.49023 1.08271i
\(560\) 4.19070 0.177089
\(561\) −16.1693 + 16.8091i −0.682669 + 0.709682i
\(562\) −25.7135 −1.08466
\(563\) 9.08894 6.60350i 0.383053 0.278304i −0.379550 0.925171i \(-0.623921\pi\)
0.762603 + 0.646867i \(0.223921\pi\)
\(564\) −0.379704 + 5.19134i −0.0159884 + 0.218595i
\(565\) 22.9817 70.7304i 0.966848 2.97565i
\(566\) 6.13208 8.44008i 0.257751 0.354763i
\(567\) −7.39634 5.12778i −0.310617 0.215347i
\(568\) 0.0647181 + 0.0210282i 0.00271551 + 0.000882324i
\(569\) 5.93688 + 18.2718i 0.248887 + 0.765995i 0.994973 + 0.100146i \(0.0319308\pi\)
−0.746086 + 0.665850i \(0.768069\pi\)
\(570\) −2.61081 10.6159i −0.109355 0.444652i
\(571\) 30.9561i 1.29547i −0.761865 0.647736i \(-0.775716\pi\)
0.761865 0.647736i \(-0.224284\pi\)
\(572\) −3.37990 13.2650i −0.141321 0.554636i
\(573\) −10.0776 4.10915i −0.420997 0.171662i
\(574\) 3.17973 + 4.37652i 0.132719 + 0.182672i
\(575\) −32.1690 + 10.4524i −1.34154 + 0.435893i
\(576\) −2.65780 + 1.39144i −0.110742 + 0.0579767i
\(577\) −35.0979 25.5001i −1.46115 1.06158i −0.983063 0.183270i \(-0.941332\pi\)
−0.478083 0.878314i \(-0.658668\pi\)
\(578\) 0.416925 + 0.302914i 0.0173418 + 0.0125996i
\(579\) 9.59421 11.3599i 0.398722 0.472103i
\(580\) −22.1142 + 7.18534i −0.918242 + 0.298355i
\(581\) 0.914625 + 1.25887i 0.0379450 + 0.0522269i
\(582\) −1.74740 + 4.28546i −0.0724322 + 0.177638i
\(583\) −1.17600 + 0.743285i −0.0487049 + 0.0307837i
\(584\) 1.24316i 0.0514421i
\(585\) −51.3369 7.55012i −2.12252 0.312159i
\(586\) 7.94195 + 24.4428i 0.328079 + 1.00972i
\(587\) 18.6579 + 6.06233i 0.770095 + 0.250219i 0.667606 0.744515i \(-0.267319\pi\)
0.102489 + 0.994734i \(0.467319\pi\)
\(588\) 1.47179 0.913144i 0.0606956 0.0376574i
\(589\) 3.55156 4.88831i 0.146340 0.201419i
\(590\) −19.4635 + 59.9025i −0.801299 + 2.46615i
\(591\) 13.5371 + 0.990129i 0.556843 + 0.0407284i
\(592\) 1.23594 0.897965i 0.0507969 0.0369061i
\(593\) −17.6377 −0.724291 −0.362146 0.932121i \(-0.617956\pi\)
−0.362146 + 0.932121i \(0.617956\pi\)
\(594\) −5.82212 16.2204i −0.238885 0.665533i
\(595\) −17.0148 −0.697538
\(596\) −10.0883 + 7.32960i −0.413234 + 0.300232i
\(597\) −8.26094 0.604219i −0.338098 0.0247290i
\(598\) 3.43420 10.5694i 0.140435 0.432214i
\(599\) 11.4616 15.7756i 0.468310 0.644573i −0.507896 0.861418i \(-0.669577\pi\)
0.976206 + 0.216845i \(0.0695767\pi\)
\(600\) 18.4886 11.4709i 0.754792 0.468296i
\(601\) −9.63705 3.13127i −0.393103 0.127727i 0.105794 0.994388i \(-0.466262\pi\)
−0.498897 + 0.866661i \(0.666262\pi\)
\(602\) 3.26073 + 10.0355i 0.132897 + 0.409016i
\(603\) −36.8371 5.41763i −1.50012 0.220623i
\(604\) 6.72154i 0.273496i
\(605\) −31.6793 + 33.4876i −1.28795 + 1.36146i
\(606\) 11.8817 29.1396i 0.482662 1.18372i
\(607\) −8.00748 11.0214i −0.325014 0.447343i 0.614976 0.788546i \(-0.289166\pi\)
−0.939990 + 0.341203i \(0.889166\pi\)
\(608\) −1.43242 + 0.465420i −0.0580922 + 0.0188753i
\(609\) −6.20093 + 7.34216i −0.251274 + 0.297519i
\(610\) 6.75147 + 4.90523i 0.273359 + 0.198607i
\(611\) 10.0347 + 7.29063i 0.405960 + 0.294947i
\(612\) 10.7910 5.64943i 0.436201 0.228365i
\(613\) 22.5270 7.31947i 0.909857 0.295631i 0.183558 0.983009i \(-0.441239\pi\)
0.726300 + 0.687378i \(0.241239\pi\)
\(614\) 11.4809 + 15.8022i 0.463333 + 0.637723i
\(615\) 36.3597 + 14.8257i 1.46616 + 0.597831i
\(616\) 3.30969 + 0.214333i 0.133351 + 0.00863574i
\(617\) 7.15606i 0.288092i −0.989571 0.144046i \(-0.953989\pi\)
0.989571 0.144046i \(-0.0460113\pi\)
\(618\) −7.02703 28.5729i −0.282669 1.14937i
\(619\) −5.77521 17.7743i −0.232125 0.714409i −0.997490 0.0708112i \(-0.977441\pi\)
0.765364 0.643597i \(-0.222559\pi\)
\(620\) 15.9893 + 5.19525i 0.642147 + 0.208646i
\(621\) 3.04013 13.6570i 0.121996 0.548035i
\(622\) −4.18804 + 5.76435i −0.167925 + 0.231129i
\(623\) 4.41004 13.5727i 0.176685 0.543779i
\(624\) −0.521478 + 7.12969i −0.0208758 + 0.285416i
\(625\) −56.6254 + 41.1408i −2.26502 + 1.64563i
\(626\) 23.7224 0.948137
\(627\) −1.51899 8.51769i −0.0606627 0.340164i
\(628\) −17.0933 −0.682095
\(629\) −5.01809 + 3.64585i −0.200084 + 0.145370i
\(630\) 5.58341 11.2642i 0.222449 0.448778i
\(631\) −14.3479 + 44.1584i −0.571182 + 1.75792i 0.0776452 + 0.996981i \(0.475260\pi\)
−0.648827 + 0.760936i \(0.724740\pi\)
\(632\) 4.09697 5.63899i 0.162969 0.224307i
\(633\) −9.86883 15.9064i −0.392251 0.632223i
\(634\) −22.1973 7.21233i −0.881566 0.286438i
\(635\) −3.00515 9.24889i −0.119256 0.367031i
\(636\) 0.705510 0.173508i 0.0279753 0.00688005i
\(637\) 4.12733i 0.163531i
\(638\) −17.8326 + 4.54374i −0.706001 + 0.179888i
\(639\) 0.142748 0.145940i 0.00564703 0.00577330i
\(640\) −2.46323 3.39035i −0.0973677 0.134015i
\(641\) 29.4610 9.57245i 1.16364 0.378089i 0.337373 0.941371i \(-0.390462\pi\)
0.826265 + 0.563282i \(0.190462\pi\)
\(642\) 22.3573 + 18.8822i 0.882372 + 0.745220i
\(643\) 3.55086 + 2.57985i 0.140032 + 0.101739i 0.655596 0.755112i \(-0.272417\pi\)
−0.515564 + 0.856851i \(0.672417\pi\)
\(644\) 2.17837 + 1.58268i 0.0858400 + 0.0623664i
\(645\) 58.5146 + 49.4193i 2.30401 + 1.94588i
\(646\) 5.81580 1.88967i 0.228819 0.0743480i
\(647\) −9.45461 13.0132i −0.371699 0.511600i 0.581663 0.813430i \(-0.302402\pi\)
−0.953362 + 0.301830i \(0.902402\pi\)
\(648\) 0.198998 + 8.99780i 0.00781736 + 0.353467i
\(649\) −18.4354 + 46.3138i −0.723653 + 1.81797i
\(650\) 51.8473i 2.03362i
\(651\) 6.74756 1.65945i 0.264458 0.0650390i
\(652\) −1.23407 3.79807i −0.0483299 0.148744i
\(653\) −6.83047 2.21935i −0.267297 0.0868501i 0.172302 0.985044i \(-0.444879\pi\)
−0.439599 + 0.898194i \(0.644879\pi\)
\(654\) −11.1424 17.9592i −0.435703 0.702260i
\(655\) −27.2845 + 37.5539i −1.06609 + 1.46735i
\(656\) 1.67168 5.14490i 0.0652682 0.200875i
\(657\) 3.34150 + 1.65630i 0.130364 + 0.0646184i
\(658\) −2.43128 + 1.76643i −0.0947813 + 0.0688626i
\(659\) 15.8415 0.617098 0.308549 0.951208i \(-0.400157\pi\)
0.308549 + 0.951208i \(0.400157\pi\)
\(660\) 21.2338 11.3433i 0.826525 0.441536i
\(661\) 41.7513 1.62394 0.811969 0.583700i \(-0.198396\pi\)
0.811969 + 0.583700i \(0.198396\pi\)
\(662\) −11.3819 + 8.26947i −0.442372 + 0.321402i
\(663\) 2.11727 28.9475i 0.0822278 1.12423i
\(664\) 0.480847 1.47989i 0.0186605 0.0574310i
\(665\) 3.70995 5.10631i 0.143866 0.198014i
\(666\) −0.766963 4.51850i −0.0297192 0.175088i
\(667\) −14.2089 4.61674i −0.550169 0.178761i
\(668\) −0.929166 2.85968i −0.0359505 0.110644i
\(669\) 4.96983 + 20.2080i 0.192145 + 0.781287i
\(670\) 52.0112i 2.00937i
\(671\) 5.08124 + 4.21931i 0.196159 + 0.162885i
\(672\) −1.60385 0.653971i −0.0618697 0.0252275i
\(673\) 15.4226 + 21.2273i 0.594496 + 0.818254i 0.995191 0.0979581i \(-0.0312311\pi\)
−0.400694 + 0.916212i \(0.631231\pi\)
\(674\) 15.5017 5.03682i 0.597105 0.194011i
\(675\) −6.19977 64.9787i −0.238629 2.50103i
\(676\) 3.26423 + 2.37161i 0.125547 + 0.0912156i
\(677\) 25.8481 + 18.7798i 0.993424 + 0.721765i 0.960668 0.277699i \(-0.0895717\pi\)
0.0327555 + 0.999463i \(0.489572\pi\)
\(678\) −19.8332 + 23.4833i −0.761688 + 0.901870i
\(679\) −2.54121 + 0.825690i −0.0975228 + 0.0316871i
\(680\) 10.0010 + 13.7652i 0.383522 + 0.527873i
\(681\) 6.58044 16.1384i 0.252163 0.618423i
\(682\) 12.3622 + 4.92083i 0.473373 + 0.188428i
\(683\) 18.6575i 0.713910i 0.934122 + 0.356955i \(0.116185\pi\)
−0.934122 + 0.356955i \(0.883815\pi\)
\(684\) −0.657449 + 4.47031i −0.0251382 + 0.170927i
\(685\) 17.3439 + 53.3792i 0.662678 + 2.03951i
\(686\) 0.951057 + 0.309017i 0.0363115 + 0.0117983i
\(687\) −27.4599 + 17.0370i −1.04766 + 0.650002i
\(688\) 6.20228 8.53670i 0.236460 0.325459i
\(689\) 0.534990 1.64653i 0.0203815 0.0627277i
\(690\) 19.4923 + 1.42570i 0.742059 + 0.0542755i
\(691\) −17.0310 + 12.3737i −0.647888 + 0.470718i −0.862551 0.505970i \(-0.831135\pi\)
0.214663 + 0.976688i \(0.431135\pi\)
\(692\) −3.02636 −0.115045
\(693\) 4.98573 8.61060i 0.189392 0.327090i
\(694\) 35.8556 1.36106
\(695\) 48.1436 34.9784i 1.82619 1.32680i
\(696\) 9.58474 + 0.701044i 0.363309 + 0.0265730i
\(697\) −6.78724 + 20.8890i −0.257085 + 0.791226i
\(698\) −1.44482 + 1.98863i −0.0546874 + 0.0752707i
\(699\) 17.1221 10.6231i 0.647618 0.401802i
\(700\) 11.9471 + 3.88186i 0.451559 + 0.146720i
\(701\) −3.75507 11.5569i −0.141827 0.436499i 0.854762 0.519020i \(-0.173703\pi\)
−0.996589 + 0.0825207i \(0.973703\pi\)
\(702\) 18.4692 + 10.9008i 0.697076 + 0.411425i
\(703\) 2.30093i 0.0867813i
\(704\) −1.77199 2.80358i −0.0667843 0.105664i
\(705\) −8.23612 + 20.1989i −0.310190 + 0.760733i
\(706\) 14.4066 + 19.8290i 0.542200 + 0.746274i
\(707\) 17.2794 5.61440i 0.649857 0.211151i
\(708\) 16.7969 19.8883i 0.631268 0.747447i
\(709\) 25.6080 + 18.6053i 0.961727 + 0.698736i 0.953551 0.301231i \(-0.0973975\pi\)
0.00817578 + 0.999967i \(0.497398\pi\)
\(710\) 0.230709 + 0.167620i 0.00865834 + 0.00629065i
\(711\) −9.69859 18.5253i −0.363726 0.694754i
\(712\) −13.5727 + 4.41004i −0.508659 + 0.165273i
\(713\) 6.34938 + 8.73917i 0.237786 + 0.327285i
\(714\) 6.51182 + 2.65521i 0.243699 + 0.0993686i
\(715\) 3.70719 57.2457i 0.138641 2.14087i
\(716\) 6.75224i 0.252343i
\(717\) 9.85305 + 40.0639i 0.367969 + 1.49621i
\(718\) −4.80659 14.7932i −0.179380 0.552076i
\(719\) 41.6468 + 13.5319i 1.55316 + 0.504654i 0.954971 0.296699i \(-0.0958857\pi\)
0.598193 + 0.801352i \(0.295886\pi\)
\(720\) −12.3948 + 2.10388i −0.461927 + 0.0784068i
\(721\) 9.98538 13.7437i 0.371875 0.511842i
\(722\) 5.17034 15.9127i 0.192420 0.592208i
\(723\) 0.390181 5.33459i 0.0145110 0.198395i
\(724\) −4.39551 + 3.19353i −0.163358 + 0.118687i
\(725\) −69.7004 −2.58861
\(726\) 17.3500 7.87258i 0.643919 0.292179i
\(727\) −4.16628 −0.154519 −0.0772593 0.997011i \(-0.524617\pi\)
−0.0772593 + 0.997011i \(0.524617\pi\)
\(728\) −3.33908 + 2.42598i −0.123754 + 0.0899128i
\(729\) 24.4504 + 11.4532i 0.905572 + 0.424192i
\(730\) −1.60988 + 4.95471i −0.0595844 + 0.183382i
\(731\) −25.1820 + 34.6601i −0.931391 + 1.28195i
\(732\) −1.81842 2.93090i −0.0672107 0.108329i
\(733\) −2.53939 0.825097i −0.0937945 0.0304757i 0.261744 0.965137i \(-0.415702\pi\)
−0.355538 + 0.934662i \(0.615702\pi\)
\(734\) −1.34729 4.14654i −0.0497295 0.153052i
\(735\) 7.04847 1.73346i 0.259987 0.0639395i
\(736\) 2.69262i 0.0992512i
\(737\) 2.66012 41.0770i 0.0979866 1.51309i
\(738\) −11.6018 11.3481i −0.427069 0.417728i
\(739\) −8.89950 12.2491i −0.327373 0.450591i 0.613327 0.789829i \(-0.289831\pi\)
−0.940701 + 0.339238i \(0.889831\pi\)
\(740\) 6.08883 1.97838i 0.223830 0.0727267i
\(741\) 8.22578 + 6.94720i 0.302181 + 0.255212i
\(742\) 0.339353 + 0.246554i 0.0124580 + 0.00905130i
\(743\) −19.3344 14.0473i −0.709312 0.515345i 0.173640 0.984809i \(-0.444447\pi\)
−0.882952 + 0.469464i \(0.844447\pi\)
\(744\) −5.30864 4.48349i −0.194624 0.164373i
\(745\) −49.6998 + 16.1484i −1.82086 + 0.591633i
\(746\) 1.54525 + 2.12685i 0.0565755 + 0.0778695i
\(747\) −3.33718 3.26419i −0.122101 0.119430i
\(748\) 7.19450 + 11.3829i 0.263057 + 0.416200i
\(749\) 16.8956i 0.617352i
\(750\) 53.3002 13.1083i 1.94625 0.478648i
\(751\) −14.8297 45.6412i −0.541144 1.66547i −0.729986 0.683462i \(-0.760473\pi\)
0.188842 0.982007i \(-0.439527\pi\)
\(752\) 2.85814 + 0.928667i 0.104226 + 0.0338650i
\(753\) 7.45107 + 12.0095i 0.271532 + 0.437651i
\(754\) 13.4606 18.5270i 0.490208 0.674713i
\(755\) 8.70438 26.7893i 0.316785 0.974963i
\(756\) −3.89468 + 3.43969i −0.141648 + 0.125100i
\(757\) −39.9020 + 28.9905i −1.45026 + 1.05368i −0.464495 + 0.885576i \(0.653764\pi\)
−0.985769 + 0.168103i \(0.946236\pi\)
\(758\) 13.0396 0.473621
\(759\) 15.3215 + 2.12291i 0.556137 + 0.0770568i
\(760\) −6.31174 −0.228951
\(761\) −13.9158 + 10.1104i −0.504446 + 0.366501i −0.810713 0.585444i \(-0.800920\pi\)
0.306267 + 0.951946i \(0.400920\pi\)
\(762\) −0.293200 + 4.00866i −0.0106215 + 0.145218i
\(763\) 3.77071 11.6050i 0.136509 0.420131i
\(764\) −3.69328 + 5.08336i −0.133618 + 0.183910i
\(765\) 50.3245 8.54201i 1.81949 0.308837i
\(766\) −6.69587 2.17562i −0.241932 0.0786083i
\(767\) −19.1692 58.9966i −0.692158 2.13024i
\(768\) 0.413643 + 1.68193i 0.0149261 + 0.0606915i
\(769\) 37.8045i 1.36327i −0.731694 0.681633i \(-0.761270\pi\)
0.731694 0.681633i \(-0.238730\pi\)
\(770\) 12.9135 + 5.14029i 0.465371 + 0.185243i
\(771\) −22.8403 9.31319i −0.822575 0.335406i
\(772\) −5.04603 6.94526i −0.181611 0.249965i
\(773\) 34.8172 11.3128i 1.25229 0.406893i 0.393547 0.919304i \(-0.371248\pi\)
0.858740 + 0.512412i \(0.171248\pi\)
\(774\) −14.6824