Properties

Label 390.2.bn.b.97.1
Level $390$
Weight $2$
Character 390.97
Analytic conductor $3.114$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(3.11416567883\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \( x^{16} - 4 x^{15} + 12 x^{14} - 48 x^{13} + 67 x^{12} - 24 x^{11} + 118 x^{10} - 176 x^{9} + 351 x^{8} - 180 x^{7} + 358 x^{6} - 336 x^{5} + 390 x^{4} - 344 x^{3} + 164 x^{2} - 40 x + 4 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 97.1
Root \(0.339278 + 0.0446668i\) of defining polynomial
Character \(\chi\) \(=\) 390.97
Dual form 390.2.bn.b.193.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 - 0.866025i) q^{2} +(-0.258819 - 0.965926i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-1.66815 - 1.48905i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(-0.568824 + 0.328411i) q^{7} -1.00000 q^{8} +(-0.866025 + 0.500000i) q^{9} +O(q^{10})\) \(q+(0.500000 - 0.866025i) q^{2} +(-0.258819 - 0.965926i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-1.66815 - 1.48905i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(-0.568824 + 0.328411i) q^{7} -1.00000 q^{8} +(-0.866025 + 0.500000i) q^{9} +(-2.12363 + 0.700141i) q^{10} +(-1.26026 + 0.337686i) q^{11} +(-0.707107 + 0.707107i) q^{12} +(0.656060 - 3.54536i) q^{13} +0.656821i q^{14} +(-1.00656 + 1.99671i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-5.49364 - 1.47202i) q^{17} +1.00000i q^{18} +(-0.425167 + 1.58674i) q^{19} +(-0.455475 + 2.18919i) q^{20} +(0.464443 + 0.464443i) q^{21} +(-0.337686 + 1.26026i) q^{22} +(-0.208047 + 0.0557460i) q^{23} +(0.258819 + 0.965926i) q^{24} +(0.565478 + 4.96792i) q^{25} +(-2.74234 - 2.34084i) q^{26} +(0.707107 + 0.707107i) q^{27} +(0.568824 + 0.328411i) q^{28} +(-0.0656377 - 0.0378960i) q^{29} +(1.22592 + 1.87006i) q^{30} +(5.13765 - 5.13765i) q^{31} +(0.500000 + 0.866025i) q^{32} +(0.652360 + 1.12992i) q^{33} +(-4.02163 + 4.02163i) q^{34} +(1.43790 + 0.299166i) q^{35} +(0.866025 + 0.500000i) q^{36} +(0.800508 + 0.462173i) q^{37} +(1.16158 + 1.16158i) q^{38} +(-3.59436 + 0.283902i) q^{39} +(1.66815 + 1.48905i) q^{40} +(-2.01318 - 7.51330i) q^{41} +(0.634441 - 0.169998i) q^{42} +(2.45871 - 9.17603i) q^{43} +(0.922576 + 0.922576i) q^{44} +(2.18919 + 0.455475i) q^{45} +(-0.0557460 + 0.208047i) q^{46} -7.92499i q^{47} +(0.965926 + 0.258819i) q^{48} +(-3.28429 + 5.68856i) q^{49} +(4.58508 + 1.99424i) q^{50} +5.68744i q^{51} +(-3.39840 + 1.20452i) q^{52} +(2.58944 - 2.58944i) q^{53} +(0.965926 - 0.258819i) q^{54} +(2.60514 + 1.31328i) q^{55} +(0.568824 - 0.328411i) q^{56} +1.64272 q^{57} +(-0.0656377 + 0.0378960i) q^{58} +(4.72918 + 1.26718i) q^{59} +(2.23248 - 0.126648i) q^{60} +(1.60754 + 2.78433i) q^{61} +(-1.88051 - 7.01816i) q^{62} +(0.328411 - 0.568824i) q^{63} +1.00000 q^{64} +(-6.37362 + 4.93731i) q^{65} +1.30472 q^{66} +(6.64195 - 11.5042i) q^{67} +(1.47202 + 5.49364i) q^{68} +(0.107693 + 0.186530i) q^{69} +(0.978038 - 1.09568i) q^{70} +(-3.94410 - 1.05682i) q^{71} +(0.866025 - 0.500000i) q^{72} +3.44819 q^{73} +(0.800508 - 0.462173i) q^{74} +(4.65229 - 1.83200i) q^{75} +(1.58674 - 0.425167i) q^{76} +(0.605967 - 0.605967i) q^{77} +(-1.55131 + 3.25476i) q^{78} +11.0648i q^{79} +(2.12363 - 0.700141i) q^{80} +(0.500000 - 0.866025i) q^{81} +(-7.51330 - 2.01318i) q^{82} -2.20398i q^{83} +(0.169998 - 0.634441i) q^{84} +(6.97234 + 10.6358i) q^{85} +(-6.71732 - 6.71732i) q^{86} +(-0.0196164 + 0.0732094i) q^{87} +(1.26026 - 0.337686i) q^{88} +(-1.59876 - 5.96664i) q^{89} +(1.48905 - 1.66815i) q^{90} +(0.791152 + 2.23214i) q^{91} +(0.152301 + 0.152301i) q^{92} +(-6.29231 - 3.63287i) q^{93} +(-6.86325 - 3.96250i) q^{94} +(3.07198 - 2.01384i) q^{95} +(0.707107 - 0.707107i) q^{96} +(-6.83472 - 11.8381i) q^{97} +(3.28429 + 5.68856i) q^{98} +(0.922576 - 0.922576i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q + 8 q^{2} - 8 q^{4} + 24 q^{7} - 16 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 16 q + 8 q^{2} - 8 q^{4} + 24 q^{7} - 16 q^{8} + 12 q^{11} + 8 q^{13} - 8 q^{15} - 8 q^{16} - 4 q^{17} - 4 q^{19} + 4 q^{23} + 4 q^{25} + 4 q^{26} - 24 q^{28} - 48 q^{29} - 4 q^{30} + 16 q^{31} + 8 q^{32} + 16 q^{33} - 20 q^{34} - 12 q^{35} + 12 q^{37} + 4 q^{38} + 4 q^{39} - 12 q^{41} + 20 q^{43} - 12 q^{44} + 8 q^{45} - 4 q^{46} - 4 q^{49} - 16 q^{50} - 4 q^{52} + 32 q^{53} + 16 q^{55} - 24 q^{56} - 8 q^{57} - 48 q^{58} + 4 q^{59} + 4 q^{60} + 4 q^{61} - 4 q^{62} + 4 q^{63} + 16 q^{64} - 8 q^{65} + 32 q^{66} - 28 q^{67} - 16 q^{68} + 4 q^{69} - 36 q^{71} + 32 q^{73} + 12 q^{74} - 24 q^{75} + 8 q^{76} + 4 q^{77} + 20 q^{78} + 8 q^{81} - 24 q^{82} + 52 q^{85} + 16 q^{86} + 36 q^{87} - 12 q^{88} - 24 q^{89} + 4 q^{90} - 8 q^{92} + 36 q^{94} - 40 q^{95} - 4 q^{97} + 4 q^{98} - 12 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{5}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 0.866025i 0.353553 0.612372i
\(3\) −0.258819 0.965926i −0.149429 0.557678i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) −1.66815 1.48905i −0.746021 0.665922i
\(6\) −0.965926 0.258819i −0.394338 0.105662i
\(7\) −0.568824 + 0.328411i −0.214995 + 0.124128i −0.603631 0.797264i \(-0.706280\pi\)
0.388636 + 0.921392i \(0.372947\pi\)
\(8\) −1.00000 −0.353553
\(9\) −0.866025 + 0.500000i −0.288675 + 0.166667i
\(10\) −2.12363 + 0.700141i −0.671551 + 0.221404i
\(11\) −1.26026 + 0.337686i −0.379983 + 0.101816i −0.443755 0.896148i \(-0.646354\pi\)
0.0637713 + 0.997965i \(0.479687\pi\)
\(12\) −0.707107 + 0.707107i −0.204124 + 0.204124i
\(13\) 0.656060 3.54536i 0.181958 0.983306i
\(14\) 0.656821i 0.175543i
\(15\) −1.00656 + 1.99671i −0.259892 + 0.515548i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −5.49364 1.47202i −1.33240 0.357017i −0.478793 0.877928i \(-0.658926\pi\)
−0.853611 + 0.520911i \(0.825592\pi\)
\(18\) 1.00000i 0.235702i
\(19\) −0.425167 + 1.58674i −0.0975399 + 0.364024i −0.997392 0.0721707i \(-0.977007\pi\)
0.899852 + 0.436195i \(0.143674\pi\)
\(20\) −0.455475 + 2.18919i −0.101847 + 0.489517i
\(21\) 0.464443 + 0.464443i 0.101350 + 0.101350i
\(22\) −0.337686 + 1.26026i −0.0719949 + 0.268689i
\(23\) −0.208047 + 0.0557460i −0.0433808 + 0.0116238i −0.280444 0.959870i \(-0.590482\pi\)
0.237063 + 0.971494i \(0.423815\pi\)
\(24\) 0.258819 + 0.965926i 0.0528312 + 0.197169i
\(25\) 0.565478 + 4.96792i 0.113096 + 0.993584i
\(26\) −2.74234 2.34084i −0.537818 0.459077i
\(27\) 0.707107 + 0.707107i 0.136083 + 0.136083i
\(28\) 0.568824 + 0.328411i 0.107498 + 0.0620638i
\(29\) −0.0656377 0.0378960i −0.0121886 0.00703710i 0.493893 0.869523i \(-0.335573\pi\)
−0.506082 + 0.862485i \(0.668907\pi\)
\(30\) 1.22592 + 1.87006i 0.223821 + 0.341425i
\(31\) 5.13765 5.13765i 0.922749 0.922749i −0.0744742 0.997223i \(-0.523728\pi\)
0.997223 + 0.0744742i \(0.0237278\pi\)
\(32\) 0.500000 + 0.866025i 0.0883883 + 0.153093i
\(33\) 0.652360 + 1.12992i 0.113561 + 0.196694i
\(34\) −4.02163 + 4.02163i −0.689703 + 0.689703i
\(35\) 1.43790 + 0.299166i 0.243050 + 0.0505683i
\(36\) 0.866025 + 0.500000i 0.144338 + 0.0833333i
\(37\) 0.800508 + 0.462173i 0.131603 + 0.0759808i 0.564356 0.825532i \(-0.309125\pi\)
−0.432753 + 0.901512i \(0.642458\pi\)
\(38\) 1.16158 + 1.16158i 0.188433 + 0.188433i
\(39\) −3.59436 + 0.283902i −0.575558 + 0.0454607i
\(40\) 1.66815 + 1.48905i 0.263758 + 0.235439i
\(41\) −2.01318 7.51330i −0.314406 1.17338i −0.924541 0.381082i \(-0.875551\pi\)
0.610135 0.792298i \(-0.291115\pi\)
\(42\) 0.634441 0.169998i 0.0978963 0.0262312i
\(43\) 2.45871 9.17603i 0.374950 1.39933i −0.478469 0.878105i \(-0.658808\pi\)
0.853418 0.521226i \(-0.174525\pi\)
\(44\) 0.922576 + 0.922576i 0.139084 + 0.139084i
\(45\) 2.18919 + 0.455475i 0.326345 + 0.0678983i
\(46\) −0.0557460 + 0.208047i −0.00821930 + 0.0306748i
\(47\) 7.92499i 1.15598i −0.816044 0.577990i \(-0.803837\pi\)
0.816044 0.577990i \(-0.196163\pi\)
\(48\) 0.965926 + 0.258819i 0.139419 + 0.0373573i
\(49\) −3.28429 + 5.68856i −0.469185 + 0.812652i
\(50\) 4.58508 + 1.99424i 0.648429 + 0.282028i
\(51\) 5.68744i 0.796400i
\(52\) −3.39840 + 1.20452i −0.471274 + 0.167036i
\(53\) 2.58944 2.58944i 0.355687 0.355687i −0.506533 0.862220i \(-0.669073\pi\)
0.862220 + 0.506533i \(0.169073\pi\)
\(54\) 0.965926 0.258819i 0.131446 0.0352208i
\(55\) 2.60514 + 1.31328i 0.351277 + 0.177082i
\(56\) 0.568824 0.328411i 0.0760123 0.0438857i
\(57\) 1.64272 0.217583
\(58\) −0.0656377 + 0.0378960i −0.00861866 + 0.00497598i
\(59\) 4.72918 + 1.26718i 0.615686 + 0.164973i 0.553166 0.833071i \(-0.313419\pi\)
0.0625204 + 0.998044i \(0.480086\pi\)
\(60\) 2.23248 0.126648i 0.288212 0.0163502i
\(61\) 1.60754 + 2.78433i 0.205824 + 0.356497i 0.950395 0.311046i \(-0.100679\pi\)
−0.744571 + 0.667543i \(0.767346\pi\)
\(62\) −1.88051 7.01816i −0.238825 0.891307i
\(63\) 0.328411 0.568824i 0.0413758 0.0716651i
\(64\) 1.00000 0.125000
\(65\) −6.37362 + 4.93731i −0.790550 + 0.612397i
\(66\) 1.30472 0.160600
\(67\) 6.64195 11.5042i 0.811443 1.40546i −0.100411 0.994946i \(-0.532016\pi\)
0.911854 0.410515i \(-0.134651\pi\)
\(68\) 1.47202 + 5.49364i 0.178508 + 0.666202i
\(69\) 0.107693 + 0.186530i 0.0129647 + 0.0224555i
\(70\) 0.978038 1.09568i 0.116898 0.130959i
\(71\) −3.94410 1.05682i −0.468079 0.125421i 0.0170676 0.999854i \(-0.494567\pi\)
−0.485146 + 0.874433i \(0.661234\pi\)
\(72\) 0.866025 0.500000i 0.102062 0.0589256i
\(73\) 3.44819 0.403581 0.201790 0.979429i \(-0.435324\pi\)
0.201790 + 0.979429i \(0.435324\pi\)
\(74\) 0.800508 0.462173i 0.0930571 0.0537265i
\(75\) 4.65229 1.83200i 0.537200 0.211541i
\(76\) 1.58674 0.425167i 0.182012 0.0487699i
\(77\) 0.605967 0.605967i 0.0690564 0.0690564i
\(78\) −1.55131 + 3.25476i −0.175651 + 0.368528i
\(79\) 11.0648i 1.24489i 0.782663 + 0.622446i \(0.213861\pi\)
−0.782663 + 0.622446i \(0.786139\pi\)
\(80\) 2.12363 0.700141i 0.237429 0.0782781i
\(81\) 0.500000 0.866025i 0.0555556 0.0962250i
\(82\) −7.51330 2.01318i −0.829705 0.222319i
\(83\) 2.20398i 0.241918i −0.992658 0.120959i \(-0.961403\pi\)
0.992658 0.120959i \(-0.0385969\pi\)
\(84\) 0.169998 0.634441i 0.0185483 0.0692231i
\(85\) 6.97234 + 10.6358i 0.756257 + 1.15362i
\(86\) −6.71732 6.71732i −0.724347 0.724347i
\(87\) −0.0196164 + 0.0732094i −0.00210310 + 0.00784887i
\(88\) 1.26026 0.337686i 0.134344 0.0359975i
\(89\) −1.59876 5.96664i −0.169468 0.632462i −0.997428 0.0716755i \(-0.977165\pi\)
0.827960 0.560787i \(-0.189501\pi\)
\(90\) 1.48905 1.66815i 0.156959 0.175839i
\(91\) 0.791152 + 2.23214i 0.0829352 + 0.233992i
\(92\) 0.152301 + 0.152301i 0.0158785 + 0.0158785i
\(93\) −6.29231 3.63287i −0.652482 0.376711i
\(94\) −6.86325 3.96250i −0.707890 0.408700i
\(95\) 3.07198 2.01384i 0.315178 0.206616i
\(96\) 0.707107 0.707107i 0.0721688 0.0721688i
\(97\) −6.83472 11.8381i −0.693961 1.20198i −0.970530 0.240982i \(-0.922531\pi\)
0.276569 0.960994i \(-0.410803\pi\)
\(98\) 3.28429 + 5.68856i 0.331764 + 0.574632i
\(99\) 0.922576 0.922576i 0.0927224 0.0927224i
\(100\) 4.01961 2.97368i 0.401961 0.297368i
\(101\) −9.11777 5.26415i −0.907252 0.523802i −0.0277059 0.999616i \(-0.508820\pi\)
−0.879546 + 0.475814i \(0.842154\pi\)
\(102\) 4.92547 + 2.84372i 0.487694 + 0.281570i
\(103\) 9.71646 + 9.71646i 0.957391 + 0.957391i 0.999129 0.0417373i \(-0.0132893\pi\)
−0.0417373 + 0.999129i \(0.513289\pi\)
\(104\) −0.656060 + 3.54536i −0.0643319 + 0.347651i
\(105\) −0.0831851 1.46634i −0.00811803 0.143100i
\(106\) −0.947801 3.53724i −0.0920586 0.343567i
\(107\) 12.3764 3.31625i 1.19647 0.320594i 0.395033 0.918667i \(-0.370733\pi\)
0.801442 + 0.598073i \(0.204067\pi\)
\(108\) 0.258819 0.965926i 0.0249049 0.0929463i
\(109\) 13.0240 + 13.0240i 1.24748 + 1.24748i 0.956831 + 0.290646i \(0.0938702\pi\)
0.290646 + 0.956831i \(0.406130\pi\)
\(110\) 2.43990 1.59948i 0.232636 0.152505i
\(111\) 0.239238 0.892850i 0.0227075 0.0847456i
\(112\) 0.656821i 0.0620638i
\(113\) −2.25077 0.603092i −0.211735 0.0567341i 0.151392 0.988474i \(-0.451624\pi\)
−0.363127 + 0.931740i \(0.618291\pi\)
\(114\) 0.821359 1.42263i 0.0769273 0.133242i
\(115\) 0.430063 + 0.216799i 0.0401035 + 0.0202166i
\(116\) 0.0757919i 0.00703710i
\(117\) 1.20452 + 3.39840i 0.111358 + 0.314182i
\(118\) 3.46200 3.46200i 0.318703 0.318703i
\(119\) 3.60834 0.966852i 0.330776 0.0886312i
\(120\) 1.00656 1.99671i 0.0918858 0.182274i
\(121\) −8.05205 + 4.64885i −0.732005 + 0.422623i
\(122\) 3.21507 0.291079
\(123\) −6.73624 + 3.88917i −0.607386 + 0.350675i
\(124\) −7.01816 1.88051i −0.630249 0.168875i
\(125\) 6.45416 9.12928i 0.577278 0.816548i
\(126\) −0.328411 0.568824i −0.0292571 0.0506749i
\(127\) −0.324813 1.21222i −0.0288225 0.107567i 0.950016 0.312201i \(-0.101066\pi\)
−0.978839 + 0.204634i \(0.934400\pi\)
\(128\) 0.500000 0.866025i 0.0441942 0.0765466i
\(129\) −9.49972 −0.836404
\(130\) 1.08902 + 7.98837i 0.0955136 + 0.700626i
\(131\) 14.7382 1.28768 0.643842 0.765159i \(-0.277340\pi\)
0.643842 + 0.765159i \(0.277340\pi\)
\(132\) 0.652360 1.12992i 0.0567806 0.0983469i
\(133\) −0.279258 1.04221i −0.0242148 0.0903708i
\(134\) −6.64195 11.5042i −0.573777 0.993811i
\(135\) −0.126648 2.23248i −0.0109001 0.192141i
\(136\) 5.49364 + 1.47202i 0.471076 + 0.126224i
\(137\) −14.0629 + 8.11924i −1.20148 + 0.693674i −0.960884 0.276952i \(-0.910676\pi\)
−0.240595 + 0.970626i \(0.577342\pi\)
\(138\) 0.215386 0.0183349
\(139\) −6.66282 + 3.84678i −0.565133 + 0.326280i −0.755203 0.655491i \(-0.772462\pi\)
0.190070 + 0.981770i \(0.439128\pi\)
\(140\) −0.459867 1.39484i −0.0388659 0.117886i
\(141\) −7.65496 + 2.05114i −0.644664 + 0.172737i
\(142\) −2.88728 + 2.88728i −0.242295 + 0.242295i
\(143\) 0.370412 + 4.68963i 0.0309754 + 0.392166i
\(144\) 1.00000i 0.0833333i
\(145\) 0.0530650 + 0.160954i 0.00440681 + 0.0133665i
\(146\) 1.72410 2.98622i 0.142687 0.247142i
\(147\) 6.34477 + 1.70008i 0.523308 + 0.140220i
\(148\) 0.924347i 0.0759808i
\(149\) −3.77709 + 14.0963i −0.309431 + 1.15481i 0.619632 + 0.784893i \(0.287282\pi\)
−0.929063 + 0.369921i \(0.879385\pi\)
\(150\) 0.739583 4.94500i 0.0603867 0.403757i
\(151\) −8.69302 8.69302i −0.707428 0.707428i 0.258566 0.965994i \(-0.416750\pi\)
−0.965994 + 0.258566i \(0.916750\pi\)
\(152\) 0.425167 1.58674i 0.0344856 0.128702i
\(153\) 5.49364 1.47202i 0.444135 0.119006i
\(154\) −0.221799 0.827767i −0.0178731 0.0667034i
\(155\) −16.2206 + 0.920190i −1.30287 + 0.0739114i
\(156\) 2.04304 + 2.97085i 0.163574 + 0.237859i
\(157\) −3.31162 3.31162i −0.264296 0.264296i 0.562501 0.826797i \(-0.309839\pi\)
−0.826797 + 0.562501i \(0.809839\pi\)
\(158\) 9.58244 + 5.53242i 0.762338 + 0.440136i
\(159\) −3.17140 1.83101i −0.251509 0.145209i
\(160\) 0.455475 2.18919i 0.0360085 0.173070i
\(161\) 0.100034 0.100034i 0.00788382 0.00788382i
\(162\) −0.500000 0.866025i −0.0392837 0.0680414i
\(163\) 0.917052 + 1.58838i 0.0718291 + 0.124412i 0.899703 0.436503i \(-0.143783\pi\)
−0.827874 + 0.560914i \(0.810450\pi\)
\(164\) −5.50012 + 5.50012i −0.429487 + 0.429487i
\(165\) 0.594268 2.85628i 0.0462637 0.222361i
\(166\) −1.90870 1.10199i −0.148144 0.0855309i
\(167\) 17.4905 + 10.0982i 1.35346 + 0.781420i 0.988732 0.149695i \(-0.0478292\pi\)
0.364726 + 0.931115i \(0.381163\pi\)
\(168\) −0.464443 0.464443i −0.0358325 0.0358325i
\(169\) −12.1392 4.65194i −0.933782 0.357841i
\(170\) 12.6971 0.720302i 0.973822 0.0552447i
\(171\) −0.425167 1.58674i −0.0325133 0.121341i
\(172\) −9.17603 + 2.45871i −0.699665 + 0.187475i
\(173\) −2.62932 + 9.81276i −0.199904 + 0.746051i 0.791039 + 0.611766i \(0.209540\pi\)
−0.990943 + 0.134285i \(0.957126\pi\)
\(174\) 0.0535930 + 0.0535930i 0.00406287 + 0.00406287i
\(175\) −1.95317 2.64016i −0.147646 0.199578i
\(176\) 0.337686 1.26026i 0.0254541 0.0949958i
\(177\) 4.89600i 0.368006i
\(178\) −5.96664 1.59876i −0.447218 0.119832i
\(179\) −0.597467 + 1.03484i −0.0446568 + 0.0773478i −0.887490 0.460827i \(-0.847553\pi\)
0.842833 + 0.538175i \(0.180886\pi\)
\(180\) −0.700141 2.12363i −0.0521854 0.158286i
\(181\) 21.0296i 1.56312i 0.623831 + 0.781559i \(0.285575\pi\)
−0.623831 + 0.781559i \(0.714425\pi\)
\(182\) 2.32867 + 0.430914i 0.172612 + 0.0319415i
\(183\) 2.27340 2.27340i 0.168054 0.168054i
\(184\) 0.208047 0.0557460i 0.0153374 0.00410965i
\(185\) −0.647172 1.96297i −0.0475811 0.144320i
\(186\) −6.29231 + 3.63287i −0.461374 + 0.266375i
\(187\) 7.42051 0.542641
\(188\) −6.86325 + 3.96250i −0.500554 + 0.288995i
\(189\) −0.634441 0.169998i −0.0461488 0.0123655i
\(190\) −0.208047 3.66733i −0.0150933 0.266056i
\(191\) 4.06177 + 7.03518i 0.293899 + 0.509048i 0.974728 0.223394i \(-0.0717137\pi\)
−0.680829 + 0.732442i \(0.738380\pi\)
\(192\) −0.258819 0.965926i −0.0186787 0.0697097i
\(193\) 2.24370 3.88620i 0.161505 0.279735i −0.773904 0.633303i \(-0.781698\pi\)
0.935409 + 0.353568i \(0.115032\pi\)
\(194\) −13.6694 −0.981409
\(195\) 6.41869 + 4.87857i 0.459652 + 0.349362i
\(196\) 6.56859 0.469185
\(197\) −5.75874 + 9.97443i −0.410293 + 0.710649i −0.994922 0.100652i \(-0.967907\pi\)
0.584628 + 0.811301i \(0.301240\pi\)
\(198\) −0.337686 1.26026i −0.0239983 0.0895629i
\(199\) −1.75484 3.03947i −0.124397 0.215462i 0.797100 0.603847i \(-0.206366\pi\)
−0.921497 + 0.388385i \(0.873033\pi\)
\(200\) −0.565478 4.96792i −0.0399853 0.351285i
\(201\) −12.8313 3.43813i −0.905047 0.242507i
\(202\) −9.11777 + 5.26415i −0.641524 + 0.370384i
\(203\) 0.0497817 0.00349399
\(204\) 4.92547 2.84372i 0.344852 0.199100i
\(205\) −7.82935 + 15.5311i −0.546826 + 1.08474i
\(206\) 13.2729 3.55647i 0.924769 0.247791i
\(207\) 0.152301 0.152301i 0.0105856 0.0105856i
\(208\) 2.74234 + 2.34084i 0.190147 + 0.162308i
\(209\) 2.14329i 0.148254i
\(210\) −1.31148 0.661129i −0.0905007 0.0456222i
\(211\) 9.02202 15.6266i 0.621102 1.07578i −0.368179 0.929755i \(-0.620019\pi\)
0.989281 0.146025i \(-0.0466479\pi\)
\(212\) −3.53724 0.947801i −0.242939 0.0650952i
\(213\) 4.08323i 0.279778i
\(214\) 3.31625 12.3764i 0.226694 0.846035i
\(215\) −17.7650 + 11.6459i −1.21157 + 0.794243i
\(216\) −0.707107 0.707107i −0.0481125 0.0481125i
\(217\) −1.23516 + 4.60967i −0.0838480 + 0.312925i
\(218\) 17.7912 4.76713i 1.20497 0.322871i
\(219\) −0.892458 3.33070i −0.0603067 0.225068i
\(220\) −0.165240 2.91276i −0.0111405 0.196378i
\(221\) −8.82299 + 18.5112i −0.593498 + 1.24520i
\(222\) −0.653612 0.653612i −0.0438675 0.0438675i
\(223\) −23.8968 13.7968i −1.60025 0.923905i −0.991436 0.130592i \(-0.958312\pi\)
−0.608814 0.793313i \(-0.708354\pi\)
\(224\) −0.568824 0.328411i −0.0380061 0.0219429i
\(225\) −2.97368 4.01961i −0.198245 0.267974i
\(226\) −1.64768 + 1.64768i −0.109602 + 0.109602i
\(227\) 6.22930 + 10.7895i 0.413453 + 0.716122i 0.995265 0.0972019i \(-0.0309893\pi\)
−0.581812 + 0.813324i \(0.697656\pi\)
\(228\) −0.821359 1.42263i −0.0543958 0.0942163i
\(229\) 12.4079 12.4079i 0.819937 0.819937i −0.166162 0.986099i \(-0.553137\pi\)
0.986099 + 0.166162i \(0.0531373\pi\)
\(230\) 0.402784 0.264046i 0.0265588 0.0174107i
\(231\) −0.742155 0.428484i −0.0488302 0.0281922i
\(232\) 0.0656377 + 0.0378960i 0.00430933 + 0.00248799i
\(233\) −21.0823 21.0823i −1.38115 1.38115i −0.842582 0.538567i \(-0.818966\pi\)
−0.538567 0.842582i \(-0.681034\pi\)
\(234\) 3.54536 + 0.656060i 0.231768 + 0.0428880i
\(235\) −11.8007 + 13.2201i −0.769792 + 0.862385i
\(236\) −1.26718 4.72918i −0.0824863 0.307843i
\(237\) 10.6878 2.86379i 0.694248 0.186023i
\(238\) 0.966852 3.60834i 0.0626717 0.233894i
\(239\) −0.526226 0.526226i −0.0340388 0.0340388i 0.689883 0.723921i \(-0.257662\pi\)
−0.723921 + 0.689883i \(0.757662\pi\)
\(240\) −1.22592 1.87006i −0.0791328 0.120712i
\(241\) 4.41998 16.4956i 0.284716 1.06258i −0.664330 0.747439i \(-0.731283\pi\)
0.949046 0.315136i \(-0.102050\pi\)
\(242\) 9.29771i 0.597679i
\(243\) −0.965926 0.258819i −0.0619642 0.0166032i
\(244\) 1.60754 2.78433i 0.102912 0.178249i
\(245\) 13.9492 4.59893i 0.891185 0.293815i
\(246\) 7.77834i 0.495929i
\(247\) 5.34664 + 2.54837i 0.340199 + 0.162149i
\(248\) −5.13765 + 5.13765i −0.326241 + 0.326241i
\(249\) −2.12888 + 0.570431i −0.134912 + 0.0361496i
\(250\) −4.67911 10.1541i −0.295933 0.642202i
\(251\) −12.1516 + 7.01575i −0.767004 + 0.442830i −0.831805 0.555068i \(-0.812692\pi\)
0.0648005 + 0.997898i \(0.479359\pi\)
\(252\) −0.656821 −0.0413758
\(253\) 0.243369 0.140509i 0.0153005 0.00883373i
\(254\) −1.21222 0.324813i −0.0760613 0.0203806i
\(255\) 8.46886 9.48752i 0.530341 0.594132i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 4.47521 + 16.7017i 0.279156 + 1.04182i 0.953005 + 0.302955i \(0.0979732\pi\)
−0.673849 + 0.738869i \(0.735360\pi\)
\(258\) −4.74986 + 8.22700i −0.295713 + 0.512191i
\(259\) −0.607130 −0.0377252
\(260\) 7.46264 + 3.05106i 0.462813 + 0.189219i
\(261\) 0.0757919 0.00469140
\(262\) 7.36910 12.7637i 0.455265 0.788542i
\(263\) 6.72435 + 25.0956i 0.414641 + 1.54746i 0.785553 + 0.618794i \(0.212378\pi\)
−0.370912 + 0.928668i \(0.620955\pi\)
\(264\) −0.652360 1.12992i −0.0401500 0.0695418i
\(265\) −8.17539 + 0.463788i −0.502210 + 0.0284903i
\(266\) −1.04221 0.279258i −0.0639018 0.0171224i
\(267\) −5.34954 + 3.08856i −0.327387 + 0.189017i
\(268\) −13.2839 −0.811443
\(269\) 21.6715 12.5121i 1.32134 0.762873i 0.337394 0.941364i \(-0.390455\pi\)
0.983942 + 0.178490i \(0.0571214\pi\)
\(270\) −1.99671 1.00656i −0.121516 0.0612572i
\(271\) 2.53478 0.679193i 0.153977 0.0412580i −0.181007 0.983482i \(-0.557936\pi\)
0.334984 + 0.942224i \(0.391269\pi\)
\(272\) 4.02163 4.02163i 0.243847 0.243847i
\(273\) 1.95132 1.34191i 0.118099 0.0812164i
\(274\) 16.2385i 0.981003i
\(275\) −2.39025 6.06993i −0.144137 0.366030i
\(276\) 0.107693 0.186530i 0.00648235 0.0112278i
\(277\) −28.3973 7.60904i −1.70623 0.457183i −0.731735 0.681589i \(-0.761289\pi\)
−0.974496 + 0.224406i \(0.927956\pi\)
\(278\) 7.69356i 0.461429i
\(279\) −1.88051 + 7.01816i −0.112583 + 0.420166i
\(280\) −1.43790 0.299166i −0.0859312 0.0178786i
\(281\) −10.3701 10.3701i −0.618630 0.618630i 0.326550 0.945180i \(-0.394114\pi\)
−0.945180 + 0.326550i \(0.894114\pi\)
\(282\) −2.05114 + 7.65496i −0.122144 + 0.455846i
\(283\) 11.2809 3.02271i 0.670580 0.179681i 0.0925637 0.995707i \(-0.470494\pi\)
0.578016 + 0.816025i \(0.303827\pi\)
\(284\) 1.05682 + 3.94410i 0.0627106 + 0.234039i
\(285\) −2.74031 2.44608i −0.162322 0.144893i
\(286\) 4.24654 + 2.02403i 0.251103 + 0.119683i
\(287\) 3.61259 + 3.61259i 0.213245 + 0.213245i
\(288\) −0.866025 0.500000i −0.0510310 0.0294628i
\(289\) 13.2908 + 7.67347i 0.781814 + 0.451381i
\(290\) 0.165923 + 0.0345214i 0.00974332 + 0.00202716i
\(291\) −9.66576 + 9.66576i −0.566617 + 0.566617i
\(292\) −1.72410 2.98622i −0.100895 0.174755i
\(293\) −5.72033 9.90790i −0.334185 0.578825i 0.649143 0.760666i \(-0.275128\pi\)
−0.983328 + 0.181841i \(0.941794\pi\)
\(294\) 4.64469 4.64469i 0.270884 0.270884i
\(295\) −6.00211 9.15582i −0.349456 0.533072i
\(296\) −0.800508 0.462173i −0.0465286 0.0268633i
\(297\) −1.12992 0.652360i −0.0655646 0.0378538i
\(298\) 10.3192 + 10.3192i 0.597775 + 0.597775i
\(299\) 0.0611485 + 0.774174i 0.00353631 + 0.0447716i
\(300\) −3.91270 3.11300i −0.225900 0.179729i
\(301\) 1.61493 + 6.02701i 0.0930831 + 0.347391i
\(302\) −11.8749 + 3.18187i −0.683323 + 0.183096i
\(303\) −2.72492 + 10.1695i −0.156543 + 0.584225i
\(304\) −1.16158 1.16158i −0.0666210 0.0666210i
\(305\) 1.46439 7.03839i 0.0838505 0.403017i
\(306\) 1.47202 5.49364i 0.0841496 0.314051i
\(307\) 26.9028i 1.53543i −0.640794 0.767713i \(-0.721395\pi\)
0.640794 0.767713i \(-0.278605\pi\)
\(308\) −0.827767 0.221799i −0.0471664 0.0126382i
\(309\) 6.87058 11.9002i 0.390853 0.676978i
\(310\) −7.31339 + 14.5075i −0.415372 + 0.823973i
\(311\) 7.38647i 0.418849i 0.977825 + 0.209424i \(0.0671590\pi\)
−0.977825 + 0.209424i \(0.932841\pi\)
\(312\) 3.59436 0.283902i 0.203490 0.0160728i
\(313\) 13.9012 13.9012i 0.785742 0.785742i −0.195051 0.980793i \(-0.562487\pi\)
0.980793 + 0.195051i \(0.0624873\pi\)
\(314\) −4.52376 + 1.21214i −0.255291 + 0.0684049i
\(315\) −1.39484 + 0.459867i −0.0785906 + 0.0259106i
\(316\) 9.58244 5.53242i 0.539054 0.311223i
\(317\) 24.2313 1.36097 0.680484 0.732763i \(-0.261770\pi\)
0.680484 + 0.732763i \(0.261770\pi\)
\(318\) −3.17140 + 1.83101i −0.177844 + 0.102678i
\(319\) 0.0955177 + 0.0255939i 0.00534797 + 0.00143298i
\(320\) −1.66815 1.48905i −0.0932527 0.0832403i
\(321\) −6.40651 11.0964i −0.357577 0.619341i
\(322\) −0.0366151 0.136650i −0.00204048 0.00761518i
\(323\) 4.67143 8.09115i 0.259925 0.450203i
\(324\) −1.00000 −0.0555556
\(325\) 17.9841 + 1.25443i 0.997576 + 0.0695832i
\(326\) 1.83410 0.101582
\(327\) 9.20939 15.9511i 0.509280 0.882099i
\(328\) 2.01318 + 7.51330i 0.111159 + 0.414852i
\(329\) 2.60265 + 4.50793i 0.143489 + 0.248530i
\(330\) −2.17647 1.94279i −0.119811 0.106947i
\(331\) 7.54624 + 2.02201i 0.414779 + 0.111140i 0.460173 0.887830i \(-0.347788\pi\)
−0.0453937 + 0.998969i \(0.514454\pi\)
\(332\) −1.90870 + 1.10199i −0.104754 + 0.0604795i
\(333\) −0.924347 −0.0506539
\(334\) 17.4905 10.0982i 0.957040 0.552547i
\(335\) −28.2101 + 9.30059i −1.54128 + 0.508146i
\(336\) −0.634441 + 0.169998i −0.0346116 + 0.00927414i
\(337\) 3.21147 3.21147i 0.174940 0.174940i −0.614206 0.789146i \(-0.710524\pi\)
0.789146 + 0.614206i \(0.210524\pi\)
\(338\) −10.0983 + 8.18686i −0.549274 + 0.445307i
\(339\) 2.33017i 0.126557i
\(340\) 5.72474 11.3561i 0.310468 0.615873i
\(341\) −4.73987 + 8.20970i −0.256678 + 0.444580i
\(342\) −1.58674 0.425167i −0.0858012 0.0229904i
\(343\) 8.91213i 0.481210i
\(344\) −2.45871 + 9.17603i −0.132565 + 0.494738i
\(345\) 0.0981030 0.471520i 0.00528169 0.0253858i
\(346\) 7.18344 + 7.18344i 0.386184 + 0.386184i
\(347\) −4.83017 + 18.0264i −0.259297 + 0.967710i 0.706352 + 0.707861i \(0.250340\pi\)
−0.965649 + 0.259849i \(0.916327\pi\)
\(348\) 0.0732094 0.0196164i 0.00392444 0.00105155i
\(349\) −0.712266 2.65821i −0.0381267 0.142291i 0.944239 0.329261i \(-0.106800\pi\)
−0.982366 + 0.186971i \(0.940133\pi\)
\(350\) −3.26304 + 0.371418i −0.174417 + 0.0198531i
\(351\) 2.97085 2.04304i 0.158572 0.109050i
\(352\) −0.922576 0.922576i −0.0491735 0.0491735i
\(353\) 2.10419 + 1.21485i 0.111995 + 0.0646602i 0.554951 0.831883i \(-0.312737\pi\)
−0.442956 + 0.896543i \(0.646070\pi\)
\(354\) −4.24006 2.44800i −0.225357 0.130110i
\(355\) 5.00571 + 7.63589i 0.265676 + 0.405271i
\(356\) −4.36788 + 4.36788i −0.231497 + 0.231497i
\(357\) −1.86781 3.23515i −0.0988552 0.171222i
\(358\) 0.597467 + 1.03484i 0.0315771 + 0.0546931i
\(359\) 21.3084 21.3084i 1.12462 1.12462i 0.133578 0.991038i \(-0.457353\pi\)
0.991038 0.133578i \(-0.0426466\pi\)
\(360\) −2.18919 0.455475i −0.115380 0.0240057i
\(361\) 14.1175 + 8.15074i 0.743026 + 0.428986i
\(362\) 18.2122 + 10.5148i 0.957211 + 0.552646i
\(363\) 6.57447 + 6.57447i 0.345070 + 0.345070i
\(364\) 1.53752 1.80123i 0.0805878 0.0944100i
\(365\) −5.75212 5.13452i −0.301080 0.268753i
\(366\) −0.832121 3.10552i −0.0434957 0.162328i
\(367\) 10.6519 2.85418i 0.556027 0.148987i 0.0301464 0.999545i \(-0.490403\pi\)
0.525880 + 0.850559i \(0.323736\pi\)
\(368\) 0.0557460 0.208047i 0.00290596 0.0108452i
\(369\) 5.50012 + 5.50012i 0.286325 + 0.286325i
\(370\) −2.02357 0.421017i −0.105200 0.0218876i
\(371\) −0.622536 + 2.32334i −0.0323204 + 0.120622i
\(372\) 7.26573i 0.376711i
\(373\) −2.85944 0.766184i −0.148056 0.0396715i 0.184030 0.982921i \(-0.441086\pi\)
−0.332086 + 0.943249i \(0.607752\pi\)
\(374\) 3.71025 6.42635i 0.191853 0.332299i
\(375\) −10.4887 3.87141i −0.541633 0.199919i
\(376\) 7.92499i 0.408700i
\(377\) −0.177417 + 0.207847i −0.00913745 + 0.0107047i
\(378\) −0.464443 + 0.464443i −0.0238884 + 0.0238884i
\(379\) 19.7782 5.29955i 1.01594 0.272220i 0.287830 0.957682i \(-0.407066\pi\)
0.728109 + 0.685462i \(0.240400\pi\)
\(380\) −3.28003 1.65349i −0.168262 0.0848223i
\(381\) −1.08684 + 0.627490i −0.0556807 + 0.0321473i
\(382\) 8.12353 0.415636
\(383\) 21.6891 12.5222i 1.10826 0.639855i 0.169882 0.985464i \(-0.445661\pi\)
0.938378 + 0.345610i \(0.112328\pi\)
\(384\) −0.965926 0.258819i −0.0492922 0.0132078i
\(385\) −1.91316 + 0.108533i −0.0975037 + 0.00553136i
\(386\) −2.24370 3.88620i −0.114201 0.197803i
\(387\) 2.45871 + 9.17603i 0.124983 + 0.466444i
\(388\) −6.83472 + 11.8381i −0.346981 + 0.600988i
\(389\) 13.9873 0.709182 0.354591 0.935022i \(-0.384620\pi\)
0.354591 + 0.935022i \(0.384620\pi\)
\(390\) 7.43431 3.11946i 0.376451 0.157960i
\(391\) 1.22499 0.0619506
\(392\) 3.28429 5.68856i 0.165882 0.287316i
\(393\) −3.81453 14.2360i −0.192418 0.718112i
\(394\) 5.75874 + 9.97443i 0.290121 + 0.502505i
\(395\) 16.4761 18.4579i 0.829001 0.928716i
\(396\) −1.26026 0.337686i −0.0633306 0.0169694i
\(397\) −18.1215 + 10.4625i −0.909494 + 0.525096i −0.880268 0.474476i \(-0.842637\pi\)
−0.0292254 + 0.999573i \(0.509304\pi\)
\(398\) −3.50967 −0.175924
\(399\) −0.934417 + 0.539486i −0.0467793 + 0.0270081i
\(400\) −4.58508 1.99424i −0.229254 0.0997121i
\(401\) 28.6705 7.68224i 1.43174 0.383633i 0.542105 0.840311i \(-0.317628\pi\)
0.889632 + 0.456678i \(0.150961\pi\)
\(402\) −9.39313 + 9.39313i −0.468487 + 0.468487i
\(403\) −14.8442 21.5854i −0.739443 1.07525i
\(404\) 10.5283i 0.523802i
\(405\) −2.12363 + 0.700141i −0.105524 + 0.0347903i
\(406\) 0.0248909 0.0431123i 0.00123531 0.00213963i
\(407\) −1.16492 0.312139i −0.0577429 0.0154722i
\(408\) 5.68744i 0.281570i
\(409\) 3.61041 13.4742i 0.178523 0.666259i −0.817401 0.576069i \(-0.804586\pi\)
0.995925 0.0901897i \(-0.0287473\pi\)
\(410\) 9.53562 + 14.5460i 0.470931 + 0.718373i
\(411\) 11.4823 + 11.4823i 0.566382 + 0.566382i
\(412\) 3.55647 13.2729i 0.175215 0.653910i
\(413\) −3.10622 + 0.832310i −0.152847 + 0.0409553i
\(414\) −0.0557460 0.208047i −0.00273977 0.0102249i
\(415\) −3.28183 + 3.67657i −0.161098 + 0.180476i
\(416\) 3.39840 1.20452i 0.166620 0.0590563i
\(417\) 5.44017 + 5.44017i 0.266406 + 0.266406i
\(418\) −1.85614 1.07164i −0.0907867 0.0524158i
\(419\) −6.36248 3.67338i −0.310827 0.179456i 0.336469 0.941694i \(-0.390767\pi\)
−0.647297 + 0.762238i \(0.724101\pi\)
\(420\) −1.22829 + 0.805210i −0.0599346 + 0.0392902i
\(421\) 11.2103 11.2103i 0.546356 0.546356i −0.379029 0.925385i \(-0.623742\pi\)
0.925385 + 0.379029i \(0.123742\pi\)
\(422\) −9.02202 15.6266i −0.439185 0.760691i
\(423\) 3.96250 + 6.86325i 0.192663 + 0.333702i
\(424\) −2.58944 + 2.58944i −0.125754 + 0.125754i
\(425\) 4.20633 28.1244i 0.204037 1.36423i
\(426\) 3.53618 + 2.04162i 0.171329 + 0.0989166i
\(427\) −1.82881 1.05586i −0.0885022 0.0510968i
\(428\) −9.06017 9.06017i −0.437940 0.437940i
\(429\) 4.43396 1.57156i 0.214074 0.0758754i
\(430\) 1.20312 + 21.2079i 0.0580196 + 1.02274i
\(431\) 9.52492 + 35.5475i 0.458799 + 1.71226i 0.676672 + 0.736285i \(0.263422\pi\)
−0.217872 + 0.975977i \(0.569912\pi\)
\(432\) −0.965926 + 0.258819i −0.0464731 + 0.0124524i
\(433\) 2.19180 8.17993i 0.105331 0.393102i −0.893051 0.449955i \(-0.851440\pi\)
0.998383 + 0.0568530i \(0.0181066\pi\)
\(434\) 3.37452 + 3.37452i 0.161982 + 0.161982i
\(435\) 0.141735 0.0929148i 0.00679569 0.00445492i
\(436\) 4.76713 17.7912i 0.228304 0.852042i
\(437\) 0.353818i 0.0169254i
\(438\) −3.33070 0.892458i −0.159147 0.0426433i
\(439\) −8.93023 + 15.4676i −0.426216 + 0.738229i −0.996533 0.0831963i \(-0.973487\pi\)
0.570317 + 0.821425i \(0.306820\pi\)
\(440\) −2.60514 1.31328i −0.124195 0.0626080i
\(441\) 6.56859i 0.312790i
\(442\) 11.6197 + 16.8965i 0.552692 + 0.803686i
\(443\) −2.70502 + 2.70502i −0.128519 + 0.128519i −0.768440 0.639921i \(-0.778967\pi\)
0.639921 + 0.768440i \(0.278967\pi\)
\(444\) −0.892850 + 0.239238i −0.0423728 + 0.0113538i
\(445\) −6.21763 + 12.3339i −0.294744 + 0.584683i
\(446\) −23.8968 + 13.7968i −1.13155 + 0.653299i
\(447\) 14.5936 0.690252
\(448\) −0.568824 + 0.328411i −0.0268744 + 0.0155159i
\(449\) 11.5315 + 3.08986i 0.544205 + 0.145819i 0.520440 0.853898i \(-0.325768\pi\)
0.0237652 + 0.999718i \(0.492435\pi\)
\(450\) −4.96792 + 0.565478i −0.234190 + 0.0266569i
\(451\) 5.07427 + 8.78890i 0.238938 + 0.413853i
\(452\) 0.603092 + 2.25077i 0.0283671 + 0.105867i
\(453\) −6.14689 + 10.6467i −0.288806 + 0.500227i
\(454\) 12.4586 0.584711
\(455\) 2.00400 4.90162i 0.0939491 0.229792i
\(456\) −1.64272 −0.0769273
\(457\) −20.3307 + 35.2137i −0.951028 + 1.64723i −0.207821 + 0.978167i \(0.566637\pi\)
−0.743207 + 0.669062i \(0.766696\pi\)
\(458\) −4.54161 16.9495i −0.212215 0.791998i
\(459\) −2.84372 4.92547i −0.132733 0.229901i
\(460\) −0.0272782 0.480844i −0.00127185 0.0224195i
\(461\) 30.0601 + 8.05459i 1.40004 + 0.375139i 0.878359 0.478001i \(-0.158639\pi\)
0.521681 + 0.853141i \(0.325305\pi\)
\(462\) −0.742155 + 0.428484i −0.0345282 + 0.0199349i
\(463\) −13.3638 −0.621069 −0.310534 0.950562i \(-0.600508\pi\)
−0.310534 + 0.950562i \(0.600508\pi\)
\(464\) 0.0656377 0.0378960i 0.00304716 0.00175928i
\(465\) 5.08703 + 15.4297i 0.235905 + 0.715536i
\(466\) −28.7990 + 7.71667i −1.33409 + 0.357468i
\(467\) 15.7888 15.7888i 0.730619 0.730619i −0.240123 0.970742i \(-0.577188\pi\)
0.970742 + 0.240123i \(0.0771878\pi\)
\(468\) 2.34084 2.74234i 0.108206 0.126765i
\(469\) 8.72514i 0.402890i
\(470\) 5.54861 + 16.8298i 0.255938 + 0.776299i
\(471\) −2.34167 + 4.05589i −0.107898 + 0.186886i
\(472\) −4.72918 1.26718i −0.217678 0.0583267i
\(473\) 12.3945i 0.569898i
\(474\) 2.86379 10.6878i 0.131538 0.490908i
\(475\) −8.12324 1.21493i −0.372720 0.0557446i
\(476\) −2.64149 2.64149i −0.121072 0.121072i
\(477\) −0.947801 + 3.53724i −0.0433968 + 0.161959i
\(478\) −0.718839 + 0.192612i −0.0328789 + 0.00880988i
\(479\) −8.34864 31.1575i −0.381459 1.42362i −0.843674 0.536856i \(-0.819612\pi\)
0.462215 0.886768i \(-0.347055\pi\)
\(480\) −2.23248 + 0.126648i −0.101898 + 0.00578066i
\(481\) 2.16375 2.53488i 0.0986586 0.115580i
\(482\) −12.0756 12.0756i −0.550029 0.550029i
\(483\) −0.122517 0.0707350i −0.00557470 0.00321855i
\(484\) 8.05205 + 4.64885i 0.366002 + 0.211312i
\(485\) −6.22610 + 29.9250i −0.282713 + 1.35882i
\(486\) −0.707107 + 0.707107i −0.0320750 + 0.0320750i
\(487\) −6.60545 11.4410i −0.299321 0.518440i 0.676659 0.736296i \(-0.263427\pi\)
−0.975981 + 0.217856i \(0.930094\pi\)
\(488\) −1.60754 2.78433i −0.0727697 0.126041i
\(489\) 1.29691 1.29691i 0.0586482 0.0586482i
\(490\) 2.99183 14.3799i 0.135157 0.649616i
\(491\) −21.0123 12.1315i −0.948274 0.547486i −0.0557297 0.998446i \(-0.517749\pi\)
−0.892544 + 0.450960i \(0.851082\pi\)
\(492\) 6.73624 + 3.88917i 0.303693 + 0.175337i
\(493\) 0.304807 + 0.304807i 0.0137278 + 0.0137278i
\(494\) 4.88027 3.35614i 0.219574 0.151000i
\(495\) −2.91276 + 0.165240i −0.130919 + 0.00742699i
\(496\) 1.88051 + 7.01816i 0.0844374 + 0.315125i
\(497\) 2.59057 0.694141i 0.116203 0.0311365i
\(498\) −0.570431 + 2.12888i −0.0255616 + 0.0953973i
\(499\) −23.6665 23.6665i −1.05946 1.05946i −0.998117 0.0613431i \(-0.980462\pi\)
−0.0613431 0.998117i \(-0.519538\pi\)
\(500\) −11.1333 1.02483i −0.497895 0.0458317i
\(501\) 5.22720 19.5082i 0.233534 0.871560i
\(502\) 14.0315i 0.626257i
\(503\) −21.3318 5.71583i −0.951137 0.254856i −0.250292 0.968170i \(-0.580527\pi\)
−0.700845 + 0.713314i \(0.747193\pi\)
\(504\) −0.328411 + 0.568824i −0.0146286 + 0.0253374i
\(505\) 7.37128 + 22.3582i 0.328018 + 0.994926i
\(506\) 0.281018i 0.0124928i
\(507\) −1.35158 + 12.9295i −0.0600256 + 0.574221i
\(508\) −0.887405 + 0.887405i −0.0393722 + 0.0393722i
\(509\) 17.4786 4.68339i 0.774727 0.207588i 0.150268 0.988645i \(-0.451986\pi\)
0.624459 + 0.781058i \(0.285320\pi\)
\(510\) −3.98201 12.0780i −0.176326 0.534823i
\(511\) −1.96141 + 1.13242i −0.0867679 + 0.0500955i
\(512\) −1.00000 −0.0441942
\(513\) −1.42263 + 0.821359i −0.0628109 + 0.0362639i
\(514\) 16.7017 + 4.47521i 0.736681 + 0.197393i
\(515\) −1.74029 30.6768i −0.0766863 1.35178i
\(516\) 4.74986 + 8.22700i 0.209101 + 0.362173i
\(517\) 2.67616 + 9.98757i 0.117697 + 0.439253i
\(518\) −0.303565 + 0.525790i −0.0133379 + 0.0231019i
\(519\) 10.1589 0.445927
\(520\) 6.37362 4.93731i 0.279502 0.216515i
\(521\) 30.3276 1.32868 0.664339 0.747432i \(-0.268713\pi\)
0.664339 + 0.747432i \(0.268713\pi\)
\(522\) 0.0378960 0.0656377i 0.00165866 0.00287289i
\(523\) 11.7984 + 44.0321i 0.515906 + 1.92539i 0.336905 + 0.941539i \(0.390620\pi\)
0.179001 + 0.983849i \(0.442713\pi\)
\(524\) −7.36910 12.7637i −0.321921 0.557583i
\(525\) −2.04468 + 2.56995i −0.0892373 + 0.112162i
\(526\) 25.0956 + 6.72435i 1.09422 + 0.293196i
\(527\) −35.7871 + 20.6617i −1.55891 + 0.900038i
\(528\) −1.30472 −0.0567806
\(529\) −19.8784 + 11.4768i −0.864279 + 0.498991i
\(530\) −3.68604 + 7.31199i −0.160111 + 0.317612i
\(531\) −4.72918 + 1.26718i −0.205229 + 0.0549909i
\(532\) −0.762948 + 0.762948i −0.0330780 + 0.0330780i
\(533\) −27.9581 + 2.20829i −1.21100 + 0.0956515i
\(534\) 6.17712i 0.267310i
\(535\) −25.5839 12.8971i −1.10609 0.557589i
\(536\) −6.64195 + 11.5042i −0.286888 + 0.496905i
\(537\) 1.15422 + 0.309271i 0.0498081 + 0.0133461i
\(538\) 25.0241i 1.07887i
\(539\) 2.21812 8.27814i 0.0955412 0.356565i
\(540\) −1.87006 + 1.22592i −0.0804745 + 0.0527552i
\(541\) −7.31140 7.31140i −0.314342 0.314342i 0.532247 0.846589i \(-0.321348\pi\)
−0.846589 + 0.532247i \(0.821348\pi\)
\(542\) 0.679193 2.53478i 0.0291738 0.108878i
\(543\) 20.3130 5.44286i 0.871716 0.233576i
\(544\) −1.47202 5.49364i −0.0631122 0.235538i
\(545\) −2.33270 41.1195i −0.0999219 1.76137i
\(546\) −0.186473 2.36085i −0.00798030 0.101035i
\(547\) −30.7225 30.7225i −1.31360 1.31360i −0.918742 0.394857i \(-0.870794\pi\)
−0.394857 0.918742i \(-0.629206\pi\)
\(548\) 14.0629 + 8.11924i 0.600739 + 0.346837i
\(549\) −2.78433 1.60754i −0.118832 0.0686079i
\(550\) −6.45184 0.964948i −0.275107 0.0411455i
\(551\) 0.0880381 0.0880381i 0.00375055 0.00375055i
\(552\) −0.107693 0.186530i −0.00458372 0.00793923i
\(553\) −3.63381 6.29395i −0.154525 0.267646i
\(554\) −20.7883 + 20.7883i −0.883210 + 0.883210i
\(555\) −1.72858 + 1.13317i −0.0733742 + 0.0481006i
\(556\) 6.66282 + 3.84678i 0.282566 + 0.163140i
\(557\) −14.1530 8.17126i −0.599683 0.346227i 0.169234 0.985576i \(-0.445871\pi\)
−0.768917 + 0.639349i \(0.779204\pi\)
\(558\) 5.13765 + 5.13765i 0.217494 + 0.217494i
\(559\) −30.9193 14.7370i −1.30775 0.623310i
\(560\) −0.978038 + 1.09568i −0.0413296 + 0.0463009i
\(561\) −1.92057 7.16766i −0.0810865 0.302619i
\(562\) −14.1659 + 3.79573i −0.597551 + 0.160113i
\(563\) 4.87699 18.2012i 0.205541 0.767088i −0.783743 0.621085i \(-0.786692\pi\)
0.989284 0.146003i \(-0.0466410\pi\)
\(564\) 5.60382 + 5.60382i 0.235963 + 0.235963i
\(565\) 2.85660 + 4.35755i 0.120178 + 0.183324i
\(566\) 3.02271 11.2809i 0.127054 0.474171i
\(567\) 0.656821i 0.0275839i
\(568\) 3.94410 + 1.05682i 0.165491 + 0.0443431i
\(569\) −5.61694 + 9.72882i −0.235474 + 0.407853i −0.959410 0.282014i \(-0.908998\pi\)
0.723936 + 0.689867i \(0.242331\pi\)
\(570\) −3.48852 + 1.15013i −0.146118 + 0.0481738i
\(571\) 38.3139i 1.60339i 0.597735 + 0.801693i \(0.296067\pi\)
−0.597735 + 0.801693i \(0.703933\pi\)
\(572\) 3.87613 2.66560i 0.162069 0.111454i
\(573\) 5.74420 5.74420i 0.239968 0.239968i
\(574\) 4.93489 1.32230i 0.205978 0.0551918i
\(575\) −0.394587 1.00204i −0.0164554 0.0417878i
\(576\) −0.866025 + 0.500000i −0.0360844 + 0.0208333i
\(577\) −18.0766 −0.752540 −0.376270 0.926510i \(-0.622793\pi\)
−0.376270 + 0.926510i \(0.622793\pi\)
\(578\) 13.2908 7.67347i 0.552826 0.319174i
\(579\) −4.33450 1.16143i −0.180136 0.0482672i
\(580\) 0.112858 0.126433i 0.00468616 0.00524983i
\(581\) 0.723809 + 1.25367i 0.0300287 + 0.0520112i
\(582\) 3.53791 + 13.2037i 0.146651 + 0.547310i
\(583\) −2.38896 + 4.13779i −0.0989404 + 0.171370i
\(584\) −3.44819 −0.142687
\(585\) 3.05106 7.46264i 0.126146 0.308542i
\(586\) −11.4407 −0.472609
\(587\) −7.51880 + 13.0229i −0.310334 + 0.537514i −0.978435 0.206557i \(-0.933774\pi\)
0.668101 + 0.744071i \(0.267108\pi\)
\(588\) −1.70008 6.34477i −0.0701099 0.261654i
\(589\) 5.96777 + 10.3365i 0.245898 + 0.425907i
\(590\) −10.9302 + 0.620069i −0.449990 + 0.0255278i
\(591\) 11.1250 + 2.98094i 0.457623 + 0.122620i
\(592\) −0.800508 + 0.462173i −0.0329007 + 0.0189952i
\(593\) −36.6579 −1.50536 −0.752680 0.658387i \(-0.771239\pi\)
−0.752680 + 0.658387i \(0.771239\pi\)
\(594\) −1.12992 + 0.652360i −0.0463612 + 0.0267666i
\(595\) −7.45896 3.76013i −0.305787 0.154150i
\(596\) 14.0963 3.77709i 0.577407 0.154716i
\(597\) −2.48171 + 2.48171i −0.101570 + 0.101570i
\(598\) 0.701028 + 0.334131i 0.0286672 + 0.0136636i
\(599\) 9.07935i 0.370972i −0.982647 0.185486i \(-0.940614\pi\)
0.982647 0.185486i \(-0.0593860\pi\)
\(600\) −4.65229 + 1.83200i −0.189929 + 0.0747912i
\(601\) 17.2295 29.8423i 0.702805 1.21729i −0.264673 0.964338i \(-0.585264\pi\)
0.967478 0.252956i \(-0.0814027\pi\)
\(602\) 6.02701 + 1.61493i 0.245643 + 0.0658197i
\(603\) 13.2839i 0.540962i
\(604\) −3.18187 + 11.8749i −0.129468 + 0.483182i
\(605\) 20.3544 + 4.23488i 0.827525 + 0.172172i
\(606\) 7.44463 + 7.44463i 0.302417 + 0.302417i
\(607\) −7.45542 + 27.8240i −0.302606 + 1.12934i 0.632381 + 0.774658i \(0.282078\pi\)
−0.934987 + 0.354683i \(0.884589\pi\)
\(608\) −1.58674 + 0.425167i −0.0643509 + 0.0172428i
\(609\) −0.0128845 0.0480855i −0.000522105 0.00194852i
\(610\) −5.36323 4.78739i −0.217151 0.193836i
\(611\) −28.0970 5.19927i −1.13668 0.210340i
\(612\) −4.02163 4.02163i −0.162565 0.162565i
\(613\) 13.8536 + 7.99836i 0.559540 + 0.323051i 0.752961 0.658065i \(-0.228625\pi\)
−0.193421 + 0.981116i \(0.561958\pi\)
\(614\) −23.2985 13.4514i −0.940253 0.542855i
\(615\) 17.0282 + 3.54284i 0.686645 + 0.142861i
\(616\) −0.605967 + 0.605967i −0.0244151 + 0.0244151i
\(617\) −3.05979 5.29972i −0.123183 0.213359i 0.797838 0.602871i \(-0.205977\pi\)
−0.921021 + 0.389513i \(0.872643\pi\)
\(618\) −6.87058 11.9002i −0.276375 0.478696i
\(619\) 1.83202 1.83202i 0.0736353 0.0736353i −0.669330 0.742965i \(-0.733419\pi\)
0.742965 + 0.669330i \(0.233419\pi\)
\(620\) 8.90720 + 13.5873i 0.357722 + 0.545681i
\(621\) −0.186530 0.107693i −0.00748518 0.00432157i
\(622\) 6.39687 + 3.69324i 0.256491 + 0.148085i
\(623\) 2.86892 + 2.86892i 0.114941 + 0.114941i
\(624\) 1.55131 3.25476i 0.0621022 0.130294i
\(625\) −24.3605 + 5.61850i −0.974419 + 0.224740i
\(626\) −5.08819 18.9894i −0.203365 0.758968i
\(627\) −2.07025 + 0.554723i −0.0826780 + 0.0221535i
\(628\) −1.21214 + 4.52376i −0.0483696 + 0.180518i
\(629\) −3.71738 3.71738i −0.148221 0.148221i
\(630\) −0.299166 + 1.43790i −0.0119191 + 0.0572875i
\(631\) 7.50451 28.0072i 0.298750 1.11495i −0.639444 0.768838i \(-0.720835\pi\)
0.938193 0.346111i \(-0.112498\pi\)
\(632\) 11.0648i 0.440136i
\(633\) −17.4292 4.67014i −0.692749 0.185622i
\(634\) 12.1157 20.9850i 0.481175 0.833419i
\(635\) −1.26321 + 2.50583i −0.0501290 + 0.0994408i
\(636\) 3.66202i 0.145209i
\(637\) 18.0133 + 15.3760i 0.713714 + 0.609221i
\(638\) 0.0699238 0.0699238i 0.00276831 0.00276831i
\(639\) 3.94410 1.05682i 0.156026 0.0418071i
\(640\) −2.12363 + 0.700141i −0.0839438 + 0.0276755i
\(641\) −18.3265 + 10.5808i −0.723851 + 0.417916i −0.816169 0.577814i \(-0.803906\pi\)
0.0923172 + 0.995730i \(0.470573\pi\)
\(642\) −12.8130 −0.505690
\(643\) 11.7319 6.77343i 0.462662 0.267118i −0.250501 0.968116i \(-0.580595\pi\)
0.713163 + 0.700998i \(0.247262\pi\)
\(644\) −0.136650 0.0366151i −0.00538475 0.00144284i
\(645\) 15.8470 + 14.1455i 0.623975 + 0.556980i
\(646\) −4.67143 8.09115i −0.183795 0.318342i
\(647\) −10.1296 37.8041i −0.398235 1.48623i −0.816200 0.577769i \(-0.803923\pi\)
0.417966 0.908463i \(-0.362743\pi\)
\(648\) −0.500000 + 0.866025i −0.0196419 + 0.0340207i
\(649\) −6.38791 −0.250747
\(650\) 10.0784 14.9474i 0.395307 0.586287i
\(651\) 4.77229 0.187041
\(652\) 0.917052 1.58838i 0.0359145 0.0622058i
\(653\) 3.12337 + 11.6566i 0.122227 + 0.456157i 0.999726 0.0234221i \(-0.00745618\pi\)
−0.877499 + 0.479579i \(0.840790\pi\)
\(654\) −9.20939 15.9511i −0.360115 0.623738i
\(655\) −24.5856 21.9459i −0.960639 0.857497i
\(656\) 7.51330 + 2.01318i 0.293345 + 0.0786015i
\(657\) −2.98622 + 1.72410i −0.116504 + 0.0672634i
\(658\) 5.20530 0.202924
\(659\) −18.1821 + 10.4974i −0.708273 + 0.408921i −0.810421 0.585848i \(-0.800762\pi\)
0.102149 + 0.994769i \(0.467428\pi\)
\(660\) −2.77074 + 0.913487i −0.107851 + 0.0355574i
\(661\) −20.7944 + 5.57184i −0.808808 + 0.216719i −0.639448 0.768835i \(-0.720837\pi\)
−0.169360 + 0.985554i \(0.554170\pi\)
\(662\) 5.52423 5.52423i 0.214705 0.214705i
\(663\) 20.1640 + 3.73130i 0.783106 + 0.144912i
\(664\) 2.20398i 0.0855309i
\(665\) −1.08605 + 2.15439i −0.0421151 + 0.0835437i
\(666\) −0.462173 + 0.800508i −0.0179088 + 0.0310190i
\(667\) 0.0157683 + 0.00422510i 0.000610550 + 0.000163596i
\(668\) 20.1963i 0.781420i
\(669\) −7.14177 + 26.6535i −0.276117 + 1.03048i
\(670\) −6.05049 + 29.0809i −0.233751 + 1.12349i
\(671\) −2.96615 2.96615i −0.114507 0.114507i
\(672\) −0.169998 + 0.634441i −0.00655781 + 0.0244741i
\(673\) 13.8145 3.70159i 0.532511 0.142686i 0.0174635 0.999848i \(-0.494441\pi\)
0.515048 + 0.857162i \(0.327774\pi\)
\(674\) −1.17548 4.38695i −0.0452778 0.168979i
\(675\) −3.11300 + 3.91270i −0.119819 + 0.150600i
\(676\) 2.04089 + 12.8388i 0.0784958 + 0.493800i
\(677\) −23.0498 23.0498i −0.885875 0.885875i 0.108249 0.994124i \(-0.465476\pi\)
−0.994124 + 0.108249i \(0.965476\pi\)
\(678\) 2.01799 + 1.16508i 0.0775003 + 0.0447448i
\(679\) 7.77551 + 4.48919i 0.298397 + 0.172279i
\(680\) −6.97234 10.6358i −0.267377 0.407866i
\(681\) 8.80956 8.80956i 0.337583 0.337583i
\(682\) 4.73987 + 8.20970i 0.181499 + 0.314366i
\(683\) 5.14139 + 8.90514i 0.196730 + 0.340746i 0.947466 0.319856i \(-0.103635\pi\)
−0.750736 + 0.660602i \(0.770301\pi\)
\(684\) −1.16158 + 1.16158i −0.0444140 + 0.0444140i
\(685\) 35.5491 + 7.39623i 1.35826 + 0.282596i
\(686\) −7.71813 4.45607i −0.294680 0.170133i
\(687\) −15.1965 8.77371i −0.579783 0.334738i
\(688\) 6.71732 + 6.71732i 0.256095 + 0.256095i
\(689\) −7.48168 10.8793i −0.285029 0.414469i
\(690\) −0.359297 0.320720i −0.0136782 0.0122096i
\(691\) 2.69876 + 10.0719i 0.102666 + 0.383153i 0.998070 0.0621008i \(-0.0197800\pi\)
−0.895404 + 0.445254i \(0.853113\pi\)
\(692\) 9.81276 2.62932i 0.373025 0.0999518i
\(693\) −0.221799 + 0.827767i −0.00842546 + 0.0314443i
\(694\) 13.1963 + 13.1963i 0.500923 + 0.500923i
\(695\) 16.8426 + 3.50423i 0.638878 + 0.132923i
\(696\) 0.0196164 0.0732094i 0.000743558 0.00277499i
\(697\) 44.2388i 1.67566i
\(698\) −2.65821 0.712266i −0.100615 0.0269597i
\(699\) −14.9075 + 25.8205i −0.563852 + 0.976620i
\(700\) −1.30986 + 3.01158i −0.0495081 + 0.113827i
\(701\) 48.0206i 1.81371i −0.421440 0.906856i \(-0.638475\pi\)
0.421440 0.906856i \(-0.361525\pi\)
\(702\) −0.283902 3.59436i −0.0107152 0.135660i
\(703\) −1.07370 + 1.07370i −0.0404953 + 0.0404953i
\(704\) −1.26026 + 0.337686i −0.0474979 + 0.0127270i
\(705\) 15.8239 + 7.97697i 0.595962 + 0.300430i
\(706\) 2.10419 1.21485i 0.0791922 0.0457217i
\(707\) 6.91520 0.260073
\(708\) −4.24006 + 2.44800i −0.159351 + 0.0920016i
\(709\) 16.6659 + 4.46562i 0.625901 + 0.167710i 0.557809 0.829969i \(-0.311642\pi\)
0.0680921 + 0.997679i \(0.478309\pi\)
\(710\) 9.11573 0.517133i 0.342107 0.0194077i
\(711\) −5.53242 9.58244i −0.207482 0.359369i
\(712\) 1.59876 + 5.96664i 0.0599159 + 0.223609i
\(713\) −0.782468 + 1.35527i −0.0293037 + 0.0507554i
\(714\) −3.73563 −0.139802
\(715\) 6.36517 8.37458i 0.238044 0.313192i
\(716\) 1.19493 0.0446568
\(717\) −0.372098 + 0.644493i −0.0138963 + 0.0240690i
\(718\) −7.79943 29.1079i −0.291072 1.08630i
\(719\) 9.27325 + 16.0617i 0.345834 + 0.599002i 0.985505 0.169647i \(-0.0542627\pi\)
−0.639671 + 0.768649i \(0.720929\pi\)
\(720\) −1.48905 + 1.66815i −0.0554935 + 0.0621684i
\(721\) −8.71794 2.33597i −0.324673 0.0869959i
\(722\) 14.1175 8.15074i 0.525399 0.303339i
\(723\) −17.0775 −0.635119
\(724\) 18.2122 10.5148i 0.676850 0.390780i
\(725\) 0.151147 0.347512i 0.00561348 0.0129063i
\(726\) 8.98090 2.40642i 0.333312 0.0893108i
\(727\) −3.86950 + 3.86950i −0.143512 + 0.143512i −0.775212 0.631701i \(-0.782357\pi\)
0.631701 + 0.775212i \(0.282357\pi\)
\(728\) −0.791152 2.23214i −0.0293220 0.0827287i
\(729\) 1.00000i 0.0370370i
\(730\) −7.32269 + 2.41422i −0.271025 + 0.0893543i
\(731\) −27.0145 + 46.7905i −0.999169 + 1.73061i
\(732\) −3.10552 0.832121i −0.114783 0.0307561i
\(733\) 45.7696i 1.69054i 0.534339 + 0.845270i \(0.320561\pi\)
−0.534339 + 0.845270i \(0.679439\pi\)
\(734\) 2.85418 10.6519i 0.105350 0.393170i
\(735\) −8.05256 12.2836i −0.297023 0.453089i
\(736\) −0.152301 0.152301i −0.00561388 0.00561388i
\(737\) −4.48579 + 16.7412i −0.165236 + 0.616670i
\(738\) 7.51330 2.01318i 0.276568 0.0741063i
\(739\) 2.54621 + 9.50257i 0.0936637 + 0.349558i 0.996813 0.0797679i \(-0.0254179\pi\)
−0.903150 + 0.429326i \(0.858751\pi\)
\(740\) −1.37640 + 1.54195i −0.0505973 + 0.0566833i
\(741\) 1.07772 5.82403i 0.0395911 0.213951i
\(742\) 1.70080 + 1.70080i 0.0624383 + 0.0624383i
\(743\) 26.9827 + 15.5785i 0.989899 + 0.571518i 0.905244 0.424892i \(-0.139688\pi\)
0.0846546 + 0.996410i \(0.473021\pi\)
\(744\) 6.29231 + 3.63287i 0.230687 + 0.133187i
\(745\) 27.2908 17.8905i 0.999858 0.655458i
\(746\) −2.09325 + 2.09325i −0.0766395 + 0.0766395i
\(747\) 1.10199 + 1.90870i 0.0403196 + 0.0698357i
\(748\) −3.71025 6.42635i −0.135660 0.234971i
\(749\) −5.95091 + 5.95091i −0.217442 + 0.217442i
\(750\) −8.59707 + 7.14775i −0.313921 + 0.260999i
\(751\) 13.1964 + 7.61892i 0.481542 + 0.278018i 0.721059 0.692874i \(-0.243656\pi\)
−0.239517 + 0.970892i \(0.576989\pi\)
\(752\) 6.86325 + 3.96250i 0.250277 + 0.144497i
\(753\) 9.92177 + 9.92177i 0.361569 + 0.361569i
\(754\) 0.0912926 + 0.257572i 0.00332468 + 0.00938020i
\(755\) 1.55698 + 27.4456i 0.0566644 + 0.998848i
\(756\) 0.169998 + 0.634441i 0.00618276 + 0.0230744i
\(757\) 46.2033 12.3801i 1.67929 0.449964i 0.711696 0.702487i \(-0.247927\pi\)
0.967591 + 0.252524i \(0.0812606\pi\)
\(758\) 5.29955 19.7782i 0.192488 0.718377i
\(759\) −0.198710 0.198710i −0.00721271 0.00721271i
\(760\) −3.07198 + 2.01384i −0.111432 + 0.0730496i
\(761\) 5.54307 20.6870i 0.200936 0.749904i −0.789714 0.613476i \(-0.789771\pi\)
0.990650 0.136429i \(-0.0435624\pi\)
\(762\) 1.25498i 0.0454631i
\(763\) −11.6856 3.13115i −0.423048 0.113355i
\(764\) 4.06177 7.03518i 0.146950 0.254524i
\(765\) −11.3561 5.72474i −0.410582 0.206978i
\(766\) 25.0444i 0.904891i
\(767\) 7.59523 15.9353i 0.274248 0.575390i
\(768\) −0.707107 + 0.707107i −0.0255155 + 0.0255155i